OTL questionnaire - final version no notes

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							        WEI Survey of Primary Schools




         TEACHER QUESTIONNAIRE  

 FOR THE WORLD EDUCATION INDICATORS 

       SURVEY OF PRIMARY SCHOOLS 


ANNEX ON READING AND MATHEMATICS ACTIVITIES


          FINAL VERSION – DECEMBER 2004




           OECD/UIS/WEI/SPS(2005)3-NoNotes 
                                    



                               National Centre logo




                       
                       
 <CLASSROOM TEACHER> QUESTIONNAIRE FOR THE 
        WORLD EDUCATION INDICATORS 
         SURVEY OF PRIMARY SCHOOLS 

ANNEX ON READING AND MATHEMATICS ACTIVITIES 


                        December 2004




         COUNTRY ID           __|__|__

         SCHOOL NAME          __________________________

         SCHOOL ADDRESS       __________________________
         <AND/OR SITE>        __________________________
                              __________________________

         LANGUAGE CODE        __

         SCHOOL ID          __|__|__|__
         NATIONAL SCHOOL ID __|__|__|__|__|__|__|__

         <TEACHER> ID         __|__|__|__|__|__

         DATE                 __|__|__|__|__|__|__|__
  This annex complements the <classroom teacher> questionnaire, in order to compare
  topics taught and activities carried out in <Reading> and Mathematics <Grade 4>
  <class>es in 14 countries.

  In this questionnaire you will be presented with a variety of materials and types of
  activities that might be used in <Reading> and Mathematics lessons at the <primary
  school> level. Some of the exercises are easy, others are difficult; some probably
  resemble the type of exercises you use with your <Grade 4> students, others may be
  more appropriate for lower or higher <primary grades> in your school. You will be
  asked to indicate, for each exercise, to what extent it is similar to the type of activities
  you typically use with your <Grade 4> students.

  This information will be used to describe:
      • the level of difficulty of the reading materials that <classroom teachers>
          consider as appropriate for use in an “average” <Grade 4> <class> in your
          country, as well as in the other participating countries;
      • the types of reading materials used most often;
      • the nature of the reading questions and reading activities that are typically used
          for <Grade 4> students in the various countries
      • the level of difficulty of the Mathematics activities that <classroom teachers>
          consider as appropriate for use in an “average” <Grade 4> <class> in your
          country, as well as in the other participating countries;
      • the nature of the Mathematics tasks that are typically used for <Grade 4>
          students in the various countries.

  The questionnaire should be completed by all <classroom teachers> teaching
  <Language> and/or mathematics/arithmetic to <Grade 4> students in this school.

  If you do not know an answer precisely, your best estimate will be adequate for the
  purposes of the study, and is strongly preferred to non-response.



                    Your answers will be kept confidential.
   Your answers will not be communicated to your <school head> nor to your administration.

They will be combined with answers from other <classroom teachers> throughout your country to
           calculate totals and averages in which no individual person can be identified.
SOME QUESTIONS ABOUT THE TYPES OF TEXTS AND READING ACTIVITIES THAT
YOU TYPICALLY USE IN YOUR READING LESSONS


1   In a typical school week, do you teach <Grade 4> <Language>?
    Please <tick> only one box. OT1, C, 1

     No (If you <ticked> No, please go to question 5) ............................................
                                                                                                                                □
                                                                                                                                1


     Yes ....................................................................................................................
                                                                                                                                □
                                                                                                                                2
The text below was used in the IEA Progress in the International Reading Literacy Study.
Please read it, and then answer a few questions on how it compares with the reading materials and
exercises that you typically use with your <Grade 4> students.

                                            THE UPSIDE-DOWN MICE
                                                 By Roald DAHL

   Once upon a time there lived an old man of 87 whose name was Labon.

   All his life he had been a quiet and peaceful person. He was very poor and very happy.

  When Labon discovered that he had mice in his house, it did not bother him much at first. But the mice
multiplied. They began to bother him. They kept on multiplying and finally there came a time when even he could
not stand it no longer.

   “This is too much,” he said. “This really is going a little bit too far”. He hobbled out of the house down the road
to a shop where he bought some mousetraps, a piece of cheese and some glue.

   When he got home, he put the glue on the underneath of the mousetraps and stuck them to the ceiling. Then he
baited them carefully with pieces of cheese and set them to go off.

   That night when the mice came out of their holes and saw the mousetraps on the ceiling, they thought it was a
tremendous joke. They walked around on the floor, nudging each other and pointing up with their front paws and
roaring with laughter. After all, it was pretty silly, mousetraps on the ceiling.

  When Labon came down the next morning and saw that there were no mice caught in the mousetraps, he smiled
but said nothing.

  He took a chair and put glue on the bottom of its legs and stuck it upside-down to the ceiling, near the
mousetraps. He did the same with the table, the television set and the lamp. He took everything that was on the floor
and stuck it upside-down on the ceiling. He even put a little carpet up there.

  The next night when the mice came out of their holes they were still joking and laughing about what they had
seen the night before. But now, when they looked up at the ceiling, they stopped laughing very suddenly.

   “Good gracious me!” cried one. “Look up there! There’s the floor!”

   “Heavens above!” shouted another. “We must be standing on the ceiling!”

   “I’m beginning to feel a little giddy,” said another.

   “All the blood’s going to my head,” said another.

  “This is terrible!” said a very senior mouse with long whiskers. “This is really terrible! We must do something
about it at once!”

   “I shall faint if I have to stand on my head any longer!” shouted a young mouse.

   “Me too!”

   “I can’t stand it!”

  “Save us! Do something somebody, quick!”

  They were getting hysterical now. “I know what we’ll do,” said the very senior mouse. “We’ll all stand on our
heads, then we’ll be the right way up.”

  Obediently, they all stood on their heads, and after a long time, one by one they fainted from a rush of blood to
their brains.
  When Labon came down the next morning the floor was littered with mice. Quickly he gathered them up and
popped them all in a basket.

  So the thing to remember is this: whenever the world seems to be terribly upside-down, make sure you keep your
feet firmly on the ground.



2 How would the reading materials you typically use in your
  <Grade 4> reading lessons compare with this text?
    Please <tick> only one box for each row.
                                                The reading materials used with my <Grade 4> students would
                                                                         typically be:
                                                 Much       Somewhat          About      Somewhat        Much longer
2.1 As regards length                           shorter      shorter           same       longer
    OT2_1, C, 1.............................                                  length


                                                   □ 1           □  2           □  3          □  4           □  5

                                               Much lower    Somewhat        About        Somewhat       Much higher
2.2 As regards vocabulary                     level of      lower level       same       higher level      level of
    OT2_2, C, 1............................. difficulty     of difficulty   difficulty   of difficulty    difficulty
                                                                              level

                                                   □ 1           □  2           □  3          □  4           □  5

                                                 Much       Somewhat          About      Somewhat        Much more
2.3 As regards syntax                         simpler        simpler        same level     more           complex
    OT2_3, C, 1............................. sentences      sentences          of         complex        sentences
                                                                            complexity   sentences

                                                   □ 1           □  2           □  3          □  4           □  5

                                               Much less    Somewhat         About       Somewhat        Much more
2.4 As regards content                       demanding         less           same         more          demanding
    OT2_4, C, 1.............................                demanding       demands      demanding


                                                   □ 1           □  2           □  3          □  4           □  5
3     The text above is a fable. Other types of materials may be used in
      reading lessons at <Grade 4>. Which of the following types of
      written materials do you use in your <Grade 4> reading lessons,
      and how often?
      Please <tick> only one box for each type of written materials.
                                                                                Never or Sometimes    Often     Very often
                                                                                 hardly     (a few   (several    (several
                                                                                  ever    lessons a lessons a   lessons a
                                                                                             year)    month)      week)
3.1    Fables, or similar types of narrative texts
       with imaginary characters and situations
       (e.g. speaking animals, magic objects etc.)
       OT3_1, C, 1...........................................................      □ 1       □ 2        □ 3         □  4


3.2    Narrative texts with real-life characters
       and situations (e.g. stories about children,
       life of famous people etc.) OT3_2, C, 1................                     □ 1       □ 2        □ 3         □  4


3.3    Information texts intended at describing or
       explaining things (e.g. what is a volcano, how
       do bees produce honey etc.) OT3_3, C, 1 .............                       □ 1       □ 2        □ 3         □  4


3.4    Authentic documents (e.g. timetables,
       advertisements,      forms,       maps,           labels,
       instructions etc.) OT3_4, C, 1 ...............................              □ 1       □ 2        □ 3         □  4


3.5    “Basic” materials typically used to teach
       decoding skills (e.g. lists of words associated
       with pictures, single sentences or short texts
       illustrating sounds – such as “The cat sat on
       the mat”) OT3_5, C, 1...........................................            □ 1       □ 2        □ 3         □  4




CHECK01, VARIABLE CLASS=CK
4     Please review the examples of questions below that may be asked about The
      Upside-Down Mice. How do they compare to the typical reading activities in
      your <Grade 4> <class>(es)?

                                                                         4a - Would you         4b - Would you       4c - If you
        Type of question                     Example of                  put emphasis           consider this        answered
                                              question                   on questions           specific question    “too easy”
                                                                         similar to this        as too easy,         or “too
                                                                         one?                   appropriate or       difficult” in
                                                                                                too difficult for    question
                                                                                                your <Grade 4>       4b, in which
                                                                                                students?            <grade>
                                                                                                                     would it be
                                                                                                                     appropriate
                                                                         Answer by              Answer by            to ask this
                                                                         <ticking> only one     <ticking> only one   question?
                                                                         box for each           box for each
                                                                         question.              question.
4.1   Questions that ask                 4.1.1 What was the              □1   No emphasis
                                                                                                □1 Too easy
      students to locate                 name of the old                 □2   Little emphasis
                                         man? ........................                          □2 Appropriate        <Grade>__
      and           reproduce                                            □3   Some emphasis
      explicitly stated facts                                                                   □3 Too difficult
      about people, places,
                                                                         □4   Major emphasis                          OT41_1C,
      animals, from just                                                                        OT41_1B, C, 1         N, 2, (0-12)
                                                                         OT41_1A, C, 1
      one of the sentences
      in the text ....................   4.1.2 Where did                 □1   No emphasis
                                                                                                □1 Too easy
                                         the old man put the             □2   Little emphasis
                                         mice when he                                           □2 Appropriate        <Grade>__
                                                                         □3   Some emphasis
                                         picked them up                                         □3 Too difficult
                                         from the floor?.........
                                                                         □4   Major emphasis                           OT41_2C,
                                                                                                OT41_2B, C, 1         N, 2, (0-12)
                                                                         OT41_2A, C, 1
4.2   Questions that ask                 4.2.1 When he got               □1   No emphasis       □1 Too easy
      students to locate                 home, the old man               □2   Little emphasis   □2 Appropriate
      and          reproduce             first used the glue             □3
      explicitly stated facts            to stick ……… on
                                                                              Some emphasis     □3 Too difficult
      from            several            the ceiling.
                                                                         □4   Major emphasis                          <Grade>__
      passages in the text.....                                                                                      OT42_1C,
                                         Find two other OT42_1A, C, 1                           OT42_1B, C, 1        N, 2, (0-12)
                                         things he glued to
                                         the ceiling after
                                         that: ……………...
                                         .................................
                                                                                                                       Appropriate in
         Type of question                  Example of question                    Emphasis              Difficulty        which
                                                                                                                         <grade>?
4.3   Questions that ask 4.3.1 Why did the □1 No emphasis                                           □1 Too easy
      students to locate the old man want to □2 Little emphasis                                     □2 Appropriate
      sentence          with get rid of the mice?                                                                       <Grade>__
                                                  □3 Some emphasis                                  □3 Too difficult
      relevant information
                             ‫ ڤ‬He had always □4 Major emphasis
      and use it to make
                             hated mice.
      inferences     clearly                                                                                             OT43_1C,
                             ‫ ڤ‬There were too
      suggested by the text.                      OT43_1A, C, 1                                                          N, 2, (0-12)
                             many of them.                                                          OT43_1B, C, 1
                             ‫ ڤ‬They laughed
                             too loudly.
                             ‫ ڤ‬They ate all his
                             cheese.


4.4   Questions that ask                   4.4.1 Which words                 □1   No emphasis       □1 Too easy
      students to make                     best describe this                □2   Little emphasis   □2 Appropriate      <Grade>__
      interpretations that                 story?                                                   □3 Too difficult
      go beyond single
                                                                             □3   Some emphasis
                                           ‫ ڤ‬Serious and sad                 □4
      sentences, such as                                                          Major emphasis
                                           ‫ ڤ‬Scary and                                                                  OT44_1C,
      identifying the mood
                                           exciting                                                                     N, 2, (0-12)
      of an entire story.........                                            OT44_1A, C, 1
                                           ‫ ڤ‬Funny and clever                                       OT44_1B, C, 1
                                           ‫ ڤ‬Thrilling and
                                           mysterious

4.5   Questions that ask                   4.5.1 Why was                     □1   No emphasis       □1 Too easy
      students to make                     there no mouse                    □2   Little emphasis   □2 Appropriate      <Grade>__
      interpretations about                caught   in      the              □3
      time sequence or                     mousetraps?.............
                                                                                  Some emphasis     □3 Too difficult
      causal relationships
                                                                             □4   Major emphasis                        OT45_1C,
      across the text .............                                                                 OT45_1B, C, 1       N, 2, (0-12)
                                                                             OT45_1A, C, 1
                                           4.5.2 How many                    □1   No emphasis       □1 Too easy
                                           days did the old                  □2   Little emphasis   □2 Appropriate
                                           man spend to get                  □3
                                           rid of the mice?........
                                                                                  Some emphasis     □3 Too difficult    <Grade>__
                                                                             □4   Major emphasis
                                                                                                                          OT45_2C,
                                                                                                                         N, 2, (0-12)
                                                                             OT45_2A, C, 1          OT45_2B, C, 1

4.6   Questions that ask                   4.6.1 Do you think                □1   No emphasis       □1 Too easy
      students to make                     the mice were easy                □2   Little emphasis   □2 Appropriate      <Grade>__
      interpretations based                to fool? Give one
                                                                             □3   Some emphasis     □3 Too difficult
      on different aspects                 reason why or why
      of characters and                    not............................   □4   Major emphasis
      events,        supporting                                                                                          OT46_1C,
      the inference with                                                     OT46_1A, C, 1          OT46_1B, C, 1
                                                                                                                         N, 2, (0-12)
      evidence from the
      text..............................

CHECK02, VARIABLE CLASS=CK
                                                                                                                    Appropriate in
          Type of question                   Example of question             Emphasis                Difficulty        which
                                                                                                                      <grade>?
4.7    Questions that ask                    4.7.1 You learn □1 No emphasis                      □1 Too easy
       students to integrate                 what the old man is □2 Little emphasis
       ideas across a text to                like      from          the □3 Some emphasis        □2 Appropriate      <Grade>__
       provide                               things he does.                                     □3 Too difficult
       interpretations of a                  Describe what he
                                                                             □4 Major emphasis
       character’s     traits,               is like and give two                                OT47_1B, C, 1
                                                                                                                      OT47_1C,
       intentions          or                examples of what OT47_1A, C, 1
                                                                                                                      N, 2, (0-12)
       feelings, and to give                 he does that show
       text based support........            this...........................

4.8    Questions that ask                    4.8.1 Underline in         □1   No emphasis         □1 Too easy
       students to find the                  the text a sentence        □2   Little emphasis     □2 Appropriate      <Grade>__
       moral of the story, or                that explains the                                   □3 Too difficult
       to comment on it..........            moral of the story ....
                                                                        □3   Some emphasis                            OT48_1C,
                                                                                                                      N, 2, (0-12)
                                                                        □4   Major emphasis
                                                                        OT48_1A, C, 1            OT48_1B, C, 1
4.9    Questions that ask                    4.9.1 Copy from            □1   No emphasis         □1 Too easy
       students to reproduce                 the dictionary (or         □2   Little emphasis     □2 Appropriate      <Grade>__
       or memorize the                       blackboard)     the                                 □3 Too difficult
       definition of difficult               definition of the
                                                                        □3   Some emphasis                            OT49_1C,
                                                                                                                      N, 2, (0-12)
       words...........................      word “hysterical” ...      □4   Major emphasis
                                                                        OT49_1A, C, 1            OT49_1B, C, 1
4.10   Questions that ask                    4.10.1 Turn into □ No emphasis                      □1 Too easy
                                                                   1
       students to apply                     plural the sentence:                                □2 Appropriate
       grammar rules using                   “He took a chair □2 Little emphasis                 □3 Too difficult    <Grade>__
       examples from the                     and put glue on the □3 Some emphasis
       text...............................   bottom of its legs □4 Major emphasis
                                             and stuck it upside-
                                             down       to    the OT410_1A, C, 1                                      OT410_1C,
                                                                                                 OT410_1B, C, 1
                                             ceiling”:                                                                N, 2, (0-12)
                                             “He took all chairs
                                             and ……………...”



                                             4.10.2 Change into         □1   No emphasis         □1 Too easy
                                             the present tense:         □2   Little emphasis     □2 Appropriate
                                             He hobbled……....           □3   Some emphasis       □3 Too difficult    <Grade>__
                                             He baited…………              □4   Major emphasis
                                             They thought….....                                                       OT410_2C,
                                             He stuck………….                                                            N, 2, (0-12)
                                                                        OT410_2A, C, 1           OT410_2B, C, 1
                                             They came………
                                                                                                                  Appropriate
          Type of question                Example of question                Emphasis              Difficulty       in which
                                                                                                                   <grade>?
4.11   Questions that ask                 4.11.1    Continue □1 No emphasis                    □1 Too easy
       students to write a                the story: Add a □2 Little emphasis                  □2 Appropriate
       short    composition               few sentences to                                                        <Grade>__
                                                                    □3 Some emphasis           □3 Too difficult
       based on the text.........         say what the old
                                          man did with the □4 Major emphasis
                                                                                                                  OT411_1C,
                                                                                               OT411_1B, C, 1     N, 2, (0-12)
                                          mice he gathered
                                                                    OT411_1A, C, 1
                                          from the floor...........

4.12   Questions that ask                 4.12.1 Using the              □1   No emphasis
                                                                                               □1 Too easy
       groups of students to              dialog in the text,           □2   Little emphasis
                                          play the scene                                       □2 Appropriate     <Grade>__
       organise               oral                                      □3   Some emphasis                        OT412_1C,
       activities based on                when the mice are                                    □3 Too difficult
       the text........................   panicked...................
                                                                        □4   Major emphasis                       N, 2, (0-12)
                                                                                               OT412_1B, C, 1
                                                                        OT412_1A, C, 1
                                          4.12.2 Organise a             □1   No emphasis
                                                                                               □1 Too easy
                                          discussion           on       □2   Little emphasis
                                          whether this story                                   □2 Appropriate
                                                                        □3   Some emphasis                        <Grade>__
                                          is only fiction, or if                               □3 Too difficult
                                          it    could      have
                                                                        □4   Major emphasis
                                                                                                                  OT412_2C,
                                          happened in the                                                         N, 2, (0-12)
                                          real world.................                          OT412_2B, C, 1
                                                                        OT412_2A, C, 1


CHECK03, VARIABLE CLASS=CK
SOME QUESTIONS ABOUT THE TYPES OF TOPICS AND MATHEMATICS ACTIVITIES
THAT ARE TYPICALLY COVERED IN YOUR MATHEMATICS LESSONS


5    In a typical school week, do you teach <Grade 4> Mathematics?
     Please <tick> only one box. If no, you do not need to complete question 6.
     OT5, C, 1

      No .....................................................................................................................
                                                                                                                                 □
                                                                                                                                 1


      Yes ....................................................................................................................
                                                                                                                                 □
                                                                                                                                 2



The question below will present different topics and types of activities commonly used in
Mathematics lessons at the <primary school level> throughout the world.

However, different countries teach different topics at different stages. Therefore the list of
activities below most probably contains a number of items that would be either too easy or
too difficult for <Grade 4> students in your own country or for the students in your
particular <Grade 4> <classes>.

Please answer the questions by referring to the activities and topics that YOU typically
teach in your own <classes>.
6     The topics below are listed under headings commonly used in
      mathematics lessons.
      Type of question              Example of question                            6a - Would you         6b - Would you      6c - If you
                                                                                   put emphasis           consider this       answered
                                                                                   on questions           specific            “too easy”
                                                                                   similar to this        question as         or “too
                                                                                   one?                   too easy,           difficult” in
                                                                                                          appropriate or      question
                                                                                                          too difficult for   6b, in which
                                                                                                          your <Grade         <grade>
                                                                                                          4> students?        would it be
                                                                                                                              appropriate
                                                                                   Answer by              Answer by           to ask this
                                                                                   <ticking> only one     <ticking> only      question?
                                                                                   box for each           one box for each
                                                                                   question.              question.
      QUESTIONS ON SPACE

      Questions on shape and space

6.1   Questions that ask        6.1.1 The sides of a rectangle                     □1   No emphasis       □1 Too easy
      students          to      are doubled. What is the                           □2   Little emphasis   □2 Appropriate
      compare         and       effect on the area?....................            □3
      classify shapes and
                                                                                        Some emphasis     □3 Too difficult     <Grade>__
      objects       using
                                □ Area stays the same.       Major emphasis        □4
                                □ Area is multiplied by 8
      simple       spatial
                                times
      ideas and words .......
                                □ Area is multiplied by 4                                                 OT61_1B, C, 1        OT61_1C,
                                                          OT61_1A, C, 1
                                times                                                                                          N, 2, (0-12)
                                □ Area is multiplied by 2
                                times


6.2   Questions that ask 6.2.1 The figures below □1 No emphasis                                           □1 Too easy
      students to make show different views of a □2 Little emphasis                                       □2 Appropriate
      simple        spatial dice.                                                                         □3 Too difficult     <Grade>__
      pictures, patterns
                                                 □3 Some emphasis
      and constructions                          □4 Major emphasis
      from verbal and
      visual instructions....                    OT62_1A, C, 1                                                                 OT62_1C,
                                                                                                          OT62_1B, C, 1        N, 2, (0-12)
                                Which number is on the
                                opposite side of the number
                                5? .............................................
        Type of question                Example of question                 Emphasis             Difficulty     Appropriate in
                                                                                                                   which
                                                                                                                  <grade>?

6.3   Questions that ask 6.3.1 Draw a line through each               □1   No emphasis       □1 Too easy        <Grade>__
      students to use shape below to show which                       □2   Little emphasis   □2 Appropriate
      shape, orientation has an axis of symmetry ............         □3   Some emphasis     □3 Too difficult
      and symmetry to
      complete simple
                                                                      □4   Major emphasis

      pictures               or
      patterns ...................                                                                               OT63_1C,
                                                                      OT63_1A, C, 1                              N, 2, (0-12)
                                                                                             OT63_1B, C, 1




      Questions on location

6.4   Questions that ask         6.4.1 The table below shows □1 No emphasis                  □1 Too easy        <Grade>__
      students to use            the coordinates for the towns □2 Little emphasis            □2 Appropriate
      directional terms          found in Vicori. The first □3 Some emphasis                                     OT64_1C,
                                                                                             □3 Too difficult    N, 2, (0-12)
      to describe the            number describes the east
      position of objects        coordinates, and the second
                                                                         □4 Major emphasis
      in relation to self.....   number describes the north OT64_1A, C, 1
                                 coordinates. Each unit in the                               OT64_1B, C, 1
                                 coordinates represents 20
                                 <kilometres>. Suppose you
                                 live in Long, and <Jane> lives
                                 in Bourne. How far away is
                                 <Jane> from you? ......................
                                 Bourne                    5,5
                                 Long                      3,3
                                 Norle                     1,2
                                 Balarod                   3,7
                                 Lake Open                 7,2

                                 East: …... <Km>
                                 North: …... <Km>

CHECK04, VARIABLE CLASS=CK
        Type of question                       Example of question                            Emphasis             Difficulty     Appropriate in
                                                                                                                                     which
                                                                                                                                    <grade>?

6.5   Questions         that 6.5.1                                                      □1   No emphasis       □1 Too easy
      ask students to                                                                   □2   Little emphasis   □2 Appropriate
      locate             key                                                            □3                                        <Grade>__
      features        when
                                                                                             Some emphasis     □3 Too difficult
      interpreting         or
                                                                                        □4   Major emphasis

      making        simple
      maps or models                                                                    OT65_1A, C, 1          OT65_1B, C, 1       OT65_1C,
      of          familiar                                                                                                         N, 2, (0-12)
      locations ................


                                     From the map above, in which
                                     <state> is <Hanging Rock>?.......


      QUESTIONS ON NUMBERS

      Questions on numbers, counting and numeration

6.6   Questions           that       6.6.1 There are currently 37                       □1   No emphasis
                                                                                                               □1 Too easy
      ask students to                people at a party. The host is                     □2   Little emphasis
      count       forwards           expecting 100 people. How                                                 □2 Appropriate
                                                                                        □3   Some emphasis
      and backwards to               many people are expected to                                               □3 Too difficult   <Grade>__
      and from 1000                  turn up? .......................................
                                                                                        □4   Major emphasis

      and skip-count to                                                                                                            OT66_1C,
                                                                                                               OT66_1B, C, 1
      100 ........................                                                      OT66_1A, C, 1                              N, 2, (0-12)



6.7   Questions           that       6.7.1 In which pair of numbers                     □1   No emphasis       □1 Too easy
      ask students to                is the second number 100 more                      □2   Little emphasis   □2 Appropriate
      represent                      than the first number?..................           □3                                        <Grade>__
      numbers up to
                                                                                             Some emphasis     □3 Too difficult
      999 ........................
                                     □   199 and 209                                    □4   Major emphasis
                                     □   4236 and 4246                                                                             OT67_1C,
                                                                                                               OT67_1B, C, 1       N, 2, (0-12)
                                     □   9635 and 9735
                                     □   51 863 and 52 863                              OT67_1A, C, 1


6.8   Questions        that 6.8.1 Using a calculator, add □1 No emphasis                                       □1 Too easy
      ask students to up the numbers from 1 to 10 ....... □2 Little emphasis                                   □2 Appropriate     <Grade>__
      use a 4-function                                                                                         □3 Too difficult
      calculator to help
                                                                          □3 Some emphasis                                         OT68_1C,
      with counting and                                                   □4 Major emphasis                                        N, 2, (0-12)
      place-value                                                         OT68_1A, C, 1                        OT68_1B, C, 1
      concepts ................ 6.8.2 Using a calculator, □1 No emphasis                                       □1 Too easy
                                multiply 12.46 by 5 ..................... □2 Little emphasis                                      <Grade>__
                                                                                                               □2 Appropriate
                                                                                        □3   Some emphasis     □3 Too difficult     OT68_2C,
                                                                                        □4   Major emphasis                        N, 2, (0-12)
                                                                                        OT68_2A, C, 1          OT68_2B, C, 1

CHECK05, VARIABLE CLASS=CK
         Type of question                  Example of question                            Emphasis             Difficulty     Appropriate in
                                                                                                                                 which
                                                                                                                                <grade>?

       Questions on mental computation and estimation

6.9    Questions       that      6.9.1 <Tanya> has read about                       □1   No emphasis
                                                                                                           □1 Too easy
       ask students to           ¼ of a book, and is now                            □2   Little emphasis
       use      estimation       reading page 78. Which of the                                             □2 Appropriate
                                                                                    □3   Some emphasis
                                                                                                                              <Grade>__
       strategies to assist      following is the best estimate                                            □3 Too difficult
       counting        and       for the number of pages in the
                                                                                    □4   Major emphasis
                                                                                                                               OT69_1C,
       computations              book?...........................................
                                                                                                           OT69_1B, C, 1       N, 2, (0-12)
       with       numbers
                                 □ 300                     □ 310
       greater than 20 ......                                                       OT69_1A, C, 1
                                 □ 320                     □ 330


       Questions on computation and applying number

6.10   Questions      that       6.10.1 <Christine> thinks that □1 No emphasis                             □1 Too easy
       ask students to           the bottle below can hold 2 □2 Little emphasis                            □2 Appropriate
       check solutions           litres when full. She found that □3 Some emphasis
       by estimation and         it currently holds 440 ml of
                                                                                                           □3 Too difficult   <Grade>__
       calculator use ........   water. Is her estimation too
                                                                             □4 Major emphasis
                                                                                                           OT610_1B,          OT610_1C,
                                 much or too little? ....................... OT610_1A, C, 1                C, 1               N, 2, (0-12)




6.11   Questions        that 6.11.1 Here is the beginning of □1 No emphasis                                □1 Too easy
       ask students to a pattern of tiles.                           □2 Little emphasis                    □2 Appropriate
       read, write and                                                                                     □3 Too difficult
       interpret symbolic
                                                                     □3 Some emphasis                                         <Grade>__
       number sentences                                              □4 Major emphasis
       involving         one                                                                               OT611_1B,          OT611_1C,
                                                                                                                              N, 2, (0-12)
       operation ............... If the pattern continues, how OT611_1A, C, 1                              C, 1
                                 many tiles will be in Figure_6? ...

                                 □ 12        □ 15        □ 18       □ 21
         Type of question                 Example of question                       Emphasis             Difficulty     Appropriate in
                                                                                                                           which
                                                                                                                          <grade>?

6.12   Questions      that        6.12.1 Which of the following □1 No emphasis                       □1 Too easy
       ask students to            units would be best used to □2 Little emphasis                     □2 Appropriate
       estimate      using        describe the population of <add                                    □3 Too difficult   <Grade>__
       common                     country name>? Would it be
                                                                                 □3 Some emphasis
       measures         in        billions,      millions,               ten □4 Major emphasis                          OT612_1C,
       familiar settings.....     thousands,       thousands              or                         OT612_1B,          N, 2, (0-12)
                                  hundreds? .................................... OT612_1A, C, 1      C, 1


                                  6.12.2 Which of the following                                      □1 Too easy
                                                                              □1   No emphasis
                                  would describe the length of a                                     □2 Appropriate
                                  <basketball> court? .....................   □2   Little emphasis
                                                                                                     □3 Too difficult   <Grade>__
                                  □ 20 <metres>
                                                                              □3   Some emphasis

                                  □ 40 <metres>                               □4   Major emphasis                       OT612_2C,
                                                                                                     OT612_2B,          N, 2, (0-12)
                                  □ 100 <metres>                                                     C, 1
                                                                              OT612_2A, C, 1
                                  □ 200 <metres>

       Questions on number patterns and relationships

6.13     Questions that           6.13.1 Bacterium (the singular                                     □1 Too easy
                                                                              □1   No emphasis
         ask students to          of bacteria), in the right                                         □2 Appropriate
         represent,               conditions, can grow rapidly.               □2   Little emphasis
                                                                                                     □3 Too difficult
         identify, extend         They double their numbers                   □3   Some emphasis                        <Grade>__
         and       devise         every 20 minutes.                           □4   Major emphasis
         whole number                                                                                                   OT613_1C,
         patterns..............                                               OT613_1A, C, 1         OT613_1B,          N, 2, (0-12)
                                                                                                     C, 1


                                  How much bacteria would
                                  there be in 2 hours, if there was
                                  1 bacteria to start with? ...............



CHECK06, VARIABLE CLASS=CK
         Type of question                       Example of question                             Emphasis             Difficulty     Appropriate in
                                                                                                                                       which
                                                                                                                                      <grade>?

       QUESTIONS ON MEASUREMENT

       Questions on measuring and estimating

6.14   Questions           that       6.14.1         How                 many             □1   No emphasis       □1 Too easy
       ask students to                <millimetres>         are       in        a         □2   Little emphasis   □2 Appropriate     <Grade>__
       make increasingly              <metre>? .....................................                             □3 Too difficult
       accurate estimates
                                                                                          □3   Some emphasis                        OT614_1C,
       of measurements                Answer:      ...................................... □4   Major emphasis    OT614_1B,
                                                                                                                                    N, 2, (0-12)
       using        informal                                                              OT614_1A, C, 1         C, 1
       units and standard                                                                                        □1 Too easy
       units.......................   6.14.2                                              □1   No emphasis
                                                                                          □2   Little emphasis   □2 Appropriate
                                                                                          □3   Some emphasis     □3 Too difficult   <Grade>__
                                                                                          □4   Major emphasis
                                                                                                                                    OT614_2C,
                                                                                                                 OT614_2B,
                                                                                          OT614_2A, C, 1                            N, 2, (0-12)
                                                                                                                 C, 1




                                      Tick in the box below to show
                                      which line, 1 or 2, you think is
                                      longer ..........................................
                                      □ Line 1                □ Line 2
                                      How many paper clips from
                                      your chain would fit along
                                      each line?.....................................
                                      Guess:
                                      Line 1: ……             Line 2: ……
                                      Write the number of paper
                                      clips each line measured from
                                      end to end ....................................
                                      Measure:
                                      Line 1: ……             Line 2: ……
        Type of question                  Example of question                            Emphasis             Difficulty     Appropriate
                                                                                                                               in which
                                                                                                                              <grade>?

6.14   (continued)              6.14.3 Which of these would                        □1   No emphasis       □1 Too easy
                                most likely be measured in                         □2   Little emphasis   □2 Appropriate
       Questions that           millilitres?....................................   □3                                        <Grade>__
       ask students to
                                                                                        Some emphasis     □3 Too difficult
       make
                                □ The amount of liquid in a      Major emphasis    □4
                                teaspoon
       increasingly
                                □ The weight (mass) of a pin                                                                 OT614_3C,
       accurate                                                                                           OT614_3B, C, 1
                                □ The amount of gasoline in a OT614_3A, C, 1                                                 N, 2, (0-12)
       estimates of
                                tank
       measurements
                                □ The thickness of 10 sheets of
       using informal
                                paper
       units and
       standard units .......
                                6.14.4 <Joseph>’s flask has                        □1   No emphasis       □1 Too easy
                                500 ml (millilitres) of water in                   □2   Little emphasis   □2 Appropriate
                                it. When full the flask will hold                  □3                                        <Grade>__
                                1 litre. How much more water
                                                                                        Some emphasis     □3 Too difficult
                                does he need to fill the flask? ......
                                                                                   □4   Major emphasis
                                                                                                                             OT614_4C,
                                                                                   OT614_4A, C, 1         OT614_4B, C, 1     N, 2, (0-12)
                                □ 200 ml          □ 500 ml
                                □ 750 ml          □ 1 litre


CHECK07, VARIABLE CLASS=CK
         Type of question                Example of question                  Emphasis       Difficulty     Appropriate in
                                                                                                               which
                                                                                                              <grade>?

6.15   Questions      that       6.15.1 In a game of marbles, □1 No emphasis             □1 Too easy
       ask students to           <Natasha> and <Billy> were □2 Little emphasis           □2 Appropriate
       measure         and       arguing about who got their □3 Some emphasis
       compare      using        marble closer to a line
                                                                                         □3 Too difficult   <Grade>__
       appropriate               scratched in the sand. The
                                                              □4 Major emphasis
       informal units ........   diagram below shows the OT615_1A, C, 1                  OT615_1B,          OT615_1C,
                                 marbles and the line.                                   C, 1               N, 2, (0-12)




                                 1- Just by looking at the
                                 diagram, tick whose marble
                                 you think is closer to the line ......
                                 □ <Natasha>’s marble
                                 □ <Billy>’s marble
                                 2- To help <Billy> and
                                 <Natasha>       settle          their
                                 argument once and for all,
                                 measure the distances yourself.
                                 Draw lines to show where you
                                 made the measurements and
                                 label those lines with your
                                 measurements..............................

                                 3- Tick whose marble was
                                 closer to the line, Billy's or
                                 Natasha's marble .........................
                                 □ <Natasha>’s marble
                                 □ <Billy>’s marble
         Type of question                    Example of question                     Emphasis             Difficulty     Appropriate in
                                                                                                                            which
                                                                                                                           <grade>?

6.16   Questions          that       6.16.1 The clock shows the                □1   No emphasis       □1 Too easy
       ask students to               time at 2.30pm. Would the                 □2   Little emphasis   □2 Appropriate
       demonstrate                   angle between the hour and                                       □3 Too difficult
       understanding of              minute hand be bigger or
                                                                               □3   Some emphasis                        <Grade>__
       the concept of                smaller 5 minutes later? ..............   □4   Major emphasis
                                                                                                                         OT616_1C,
       angle......................                                                                    OT616_1B,
                                                                               OT616_1A, C, 1                            N, 2, (0-12)
                                                                                                      C, 1




       Questions on time

6.17   Questions      that 6.17.1 Link the analogue and                        □1   No emphasis       □1 Too easy
       ask students to digital       clocks      to         the                □2   Little emphasis   □2 Appropriate
       tell the time using corresponding times ....................                                   □3 Too difficult
       digital         and
                                                                               □3   Some emphasis                        <Grade>__
       analogue clocks.....                                                    □4   Major emphasis
                                                                                                      OT617_1B,
                                                                               OT617_1A, C, 1         C, 1
                                                                                                                         OT617_1C,
                                                                                                                         N, 2, (0-12)




                                     6.17.2 Write the time shown by            □1   No emphasis       □1 Too easy
                                     the clocks underneath each one...         □2   Little emphasis   □2 Appropriate
                                                                                                      □3 Too difficult   <Grade>__
                                                                               □3   Some emphasis
                                                                               □4   Major emphasis

                                                                               OT617_2A, C, 1         OT617_2B,          OT617_2C,
                                                                                                      C, 1               N, 2, (0-12)




CHECK08, VARIABLE CLASS=CK
         Type of question          Example of question                   Emphasis             Difficulty     Appropriate in
                                                                                                                which
                                                                                                               <grade>?

       Questions on using relationships

6.18   Questions          that 6.18.1 <Greg> bought these          □1   No emphasis       □1 Too easy
       ask students to fruits and vegetables. Here is a            □2   Little emphasis   □2 Appropriate
       order            using section of his docket.                                      □3 Too difficult
       common
                                                                   □3   Some emphasis                        <Grade>__
       measurement                                                 □4   Major emphasis
                                                                                                             OT618_1C,
       units......................                                                                           N, 2, (0-12)
                                                                   OT618_1A, C, 1         OT618_1B,
                                                                                          C, 1




                            List the items in order of
                            greatest weight to least weight ....


                            6.18.2 Rank the following              □1   No emphasis       □1 Too easy
                            temperatures from the lowest           □2   Little emphasis   □2 Appropriate
                            to the highest:                                               □3 Too difficult   <Grade>__
                                                                   □3   Some emphasis
                                  -0.4 <°C>                        □4   Major emphasis
                                  28.5 <°C>
                                  -4.0 <°C>                                               OT618_2B,
                                  -6.1 <°C>                        OT618_2A, C, 1                            OT618_2C,
                                                                                          C, 1               N, 2, (0-12)
                                   2.6 <°C>
                                  19.5 <°C>
                                  -2.7 <°C>
                                   3.7 <°C>
                                  -2.2 <°C>
                                  -6.2 <°C>
         Type of question                       Example of question                                Emphasis             Difficulty     Appropriate in
                                                                                                                                          which
                                                                                                                                         <grade>?

       QUESTIONS ON CHANCE AND DATA

       Questions on chance

6.19   Questions    that              6.19.1 There are 20 marbles in                                                □1 Too easy
       ask students to                a bag, of which 7 are blue, 6 □1 No emphasis                                  □2 Appropriate
       compare       and              are green, 4 are yellow and 3 □2 Little emphasis                              □3 Too difficult
       order          the             are red. <James> reaches in □ Some emphasis                                                      <Grade>__
                                                                                      3
       likelihood      of             and grabs a marble. Rank the
       outcomes        of             colours of the marbles that □4 Major emphasis                                                    OT619_1C,
                                                                                                                    OT619_1B,          N, 2, (0-12)
       simple chance .......          <James> is likely to get, OT619_1A, C, 1
                                      starting from the greatest                                                    C, 1
                                      probability ...................................



       Questions on posing questions and collecting data

6.20   Questions          that        6.20.1 <Tom> arranged 12                               □1   No emphasis       □1 Too easy
       ask students to                frogs into groups as described                         □2   Little emphasis   □2 Appropriate
       determine                      in the following picture:                              □3                                        <Grade>__
       appropriate
                                                                                                  Some emphasis     □3 Too difficult
       procedures            to
                                                                                             □4   Major emphasis
                                                                                                                                       OT620_1C,
       collect                                                                                                      OT620_1B,          N, 2, (0-12)
                                                                                             OT620_1A, C, 1
       information                                                                                                  C, 1
       relevant              to
       questions           and
       conjectures           of       The operation to find out the
       interest...................    number of frogs in each group
                                      is: ................................................
                                      □ 12 + 4            □ 12 – 4
                                      □ 12 x 4            □ 12 ÷ 4


       Questions on summarizing and presenting data

6.21   Questions           that       6.21.1 The following shows the                         □1   No emphasis       □1 Too easy
       ask students to                number of <apples> and                                 □2   Little emphasis   □2 Appropriate
       use diagrams and               <oranges> sold at fruit stall.                         □3                                        <Grade>__
       two-way tables to              Fill in the values ..........................
                                                                                                  Some emphasis     □3 Too difficult
       summarize            and
                                                                                             □4   Major emphasis
                                                                                                                                       OT621_1C,
       display discrete                                                                                             OT621_1B,          N, 2, (0-12)
                                                                                             OT621_1A, C, 1
       data........................                                                                                 C, 1




CHECK09, VARIABLE CLASS=CK
         Type of question            Example of question                Emphasis             Difficulty     Appropriate in
                                                                                                               which
                                                                                                              <grade>?

       Questions on interpreting data

6.22   Questions         that 6.22.1 Who ate the most □1 No emphasis                     □1 Too easy
       ask students to amount of pie?............................. □2 Little emphasis    □2 Appropriate     <Grade>__
       describe           and                                      □3 Some emphasis
       interpret         data
                                                                                         □3 Too difficult
                                                                   □4 Major emphasis                        OT622_1C,
       displayed            in                                                                              N, 2, (0-12)
       simple        scaled                                        OT622_1A, C, 1        OT622_1B,
       graphs....................                                                        C, 1



       QUESTIONS ON REASONING AND STRATEGIES

       Questions on mathematical reasoning

6.23   Questions      that     6.23.1 <Mary> lives in             □1   No emphasis       □1 Too easy
       ask students to         Zedland where the money            □2   Little emphasis   □2 Appropriate
       make and explain        currency is the Zed.               □3                                        <Grade>__
       judgments based
                                                                       Some emphasis     □3 Too difficult
       on simple criteria...   <Mary> needs to buy 50 paper       □4
                                                                  Major emphasis                            OT623_1C,
                               plates and 100 paper cups for a OT623_1A, C, 1            OT623_1B,          N, 2, (0-12)
                               party. Plates cost 2.50 Zeds for                          C, 1
                               10 plates, and 1.50 Zeds for 10
                               cups. <Mary> was given 20
                               Zeds from her mum. Does
                               <Mary> have enough money?.....
         Type of question              Example of question                     Emphasis             Difficulty     Appropriate in
                                                                                                                      which
                                                                                                                     <grade>?

6.24   Questions     that      6.24.1 Five people meet each              □1   No emphasis
       ask students to         other for the first time. If each         □2   Little emphasis   □1 Too easy
       check the truth of      person shakes hands with                  □3
       number                  everyone else once, how many
                                                                              Some emphasis     □2 Appropriate     <Grade>__
       statements     and      handshakes are there?..................
                                                                         □4   Major emphasis    □3 Too difficult
                                                                                                                   OT624_1C,
       hypotheses,     as                                                                                          N, 2, (0-12)
       well     as    the                                                OT624_1A, C, 1         OT624_1B, C, 1
       consistency     of
       number patterns
       arising      from
       operations carried
       out with informal
       written methods.....



       Questions on strategies for investigation

6.25   Questions     that      6.25.1 Solve the following                □1   No emphasis       □1 Too easy
       ask students to         expression: 30-5x2+(3x4) ..........       □2   Little emphasis   □2 Appropriate     <Grade>__
       use        simple                                                 □3
       strategies      to
                               □ 62           □8                              Some emphasis     □3 Too difficult
       explore tasks and       □ 32          □ 26                        □4   Major emphasis                       OT625_1C,
                                                                                                                   N, 2, (0-12)
       solve problems ......                                             OT625_1A, C, 1         OT625_1B,
                                                                                                C, 1

CHECK10, VARIABLE CLASS=CK
         Type of question                Example of question                            Emphasis             Difficulty     Appropriate in
                                                                                                                               which
                                                                                                                              <grade>?

6.26   Questions that          6.26.1 A thin wire 20                              □1   No emphasis       □1 Too easy
       ask students to         <centimetres> long is formed                       □2   Little emphasis   □2 Appropriate
       clarify the             into a rectangle. If the width of                                         □3 Too difficult   <Grade>__
       essential nature of     this     rectangle              is         4
                                                                                  □3   Some emphasis

       a task or problem       <centimetres>, what is its                         □4   Major emphasis                       OT626_1C,
       and identify key        length?.........................................                                             N, 2, (0-12)
                                                                                  OT626_1A, C, 1         OT626_1B,
       information in
                               □ 5 <cm>                □ 6 <cm>                                          C, 1
       familiar situations..
                               □ 12 <cm>               □ 16 <cm>


                               6.26.2 <Jenny> made 33 tarts                       □1   No emphasis       □1 Too easy
                               and put them on the kitchen                        □2   Little emphasis   □2 Appropriate
                               table to cool.                                                            □3 Too difficult
                                                                                  □3   Some emphasis
                                                                                                                            <Grade>__
                               <Simon> and two of his        Major emphasis       □4
                               friends saw the tarts and                                                                    OT626_2C,
                               divided them equally among OT626_2A, C, 1                                 OT626_2B,          N, 2, (0-12)
                               themselves.                                                               C, 1

                               The two friends took their
                               share of the tarts away, but
                               <Simon> stayed in the kitchen
                               and started to eat his share of
                               the tarts.

                               Before he had finished, he
                               heard <Jenny> come back, so
                               he ran away.

                               <Jenny> came into the kitchen
                               and found only 2 tarts left on
                               the table.

                               Which of the following number
                               sentences could be used to tell
                               how many tarts <Simon> ate? ....

                               □ 33 + 2 ÷ 3          □ 33 ÷ 3 - 2
                               □ 33 – 3 – 2          □ 33 ÷ 3 + 2
         Type of question                  Example of question                 Emphasis             Difficulty     Appropriate in
                                                                                                                      which
                                                                                                                     <grade>?

6.27   Questions         that       6.27.1 The members of a □ No emphasis                       □1 Too easy
       ask students to              marching band can be grouped
                                                                                1
                                                                                                □2 Appropriate
       use the guess–               into rows of 3 or 5. In each □2 Little emphasis             □3 Too difficult   <Grade>__
       check–improve                case, 2 members will be left □3 Some emphasis
       process              in      behind. What is the least □4 Major emphasis                                    OT627_1C,
       appropriate                  number of members in the                                                       N, 2, (0-12)
       contexts .................   marching band? ........................... OT627_1A, C, 1   OT627_1B,
                                                                                                C, 1
                                    □ 32         □ 28
                                    □ 17         □ 13




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