VIEWS: 12 PAGES: 16 POSTED ON: 9/16/2011 Public Domain
WEBSITES 2011 Useful "Uniform Resource Locators" (URLs) The following information is from: http://en.wikibooks.org/wiki/SA_NC_Doing_Investigations:Chapter_10 "If you are fortunate enough to have a computer and access to the internet (the world- wide web or "www") there are wonderful "websites" to visit for information. Each site has a unique URL (e.g. www.enc.org) which is actually its electronic address. Many sites are useful for science-, mathematics- and technology educators. Because so many sites exist these days we can only mention a few examples here. Once you start visiting websites you will find links to many other sites that you may prefer to the ones below. Develop the habit of collecting useful sites in your computer's "Favourites" box. The Department of National Education has a comprehensive website ("Thutong") that consolidates all available curriculum information for educators. In the near future it will also contain actual materials and lesson plans or links to these. The other websites also provide links to many other educational websites. Browse through these and you will find information that you didn't even know you needed! That's the way of the web. www.thutong.org.za/ www.curriculum.wcape.school.za/ www.education.gov.za/Curriculum/GET/GETstatements.asp http://www.school.za/teachers/index.htm {FABULOUS site!!!} The (American) National Council of Educators of Mathematics standards site is at www.enc.org What they have done is show how the essential concepts are built up from the simplest elements to advanced concepts. They follow certain key concepts in mathematics (which are usually applicable to other subject areas as well e.g. science and geography) such as "change" and show the age- and grade-related steps that one might take in developing the concept. A most ambitious project by the American science / science education community is Project 2061, so named because that is the year in which Halley's comet next appears. The grand aim is for every American citizen to be scientifically literate by then. So www.project2061.org/ is a great website for science educators. The Project 2061 home page then leads you to their "Benchmarks On-Line" at www.project2061.org/tools/benchol/bolframe.html that sets out what is meant by scientific literacy and the steps for getting there. For a quick, pictorial summary of Project 2001, you can look at www.enc.org/ The National Curriculum On-Line for the United Kingdom gives details of educational expectations by Key Stage and Attainment Targets for education in the UK at www.nc.uk.net/ Unlike most of the American work on standards the British version is not based on grade levels but rather attainment levels, regardless of age. Having said that, the levels of 1 development one would expect for certain age ranges are given and this can be a useful guide for educators. A useful site to begin with if you are new to technology education and still trying to fathom how it differs from technical education is the website of the International Technology Education Association (ITEA) at www.iteawww.org/ In addition it gives their 20 standards (which define technology education for the ITEA) at www.iteawww.org/ The web is literally overflowing with sites containing practical ideas for technology education and challenging material on how things work, for instance at www.howstuffworks.com/ Browse through the links that interest you and you may find something useful. There are also some very good commercial encyclopedias. But if you want a site that costs you no more than your service provider fee and which gives you some information on just about everything, try www.wikipedia.org Once you start searching for sites with good teaching resources you will enter a world with more information than you can cope with. So be quite focused about your searches unless you want to get sucked in and carried away! Some of the sites are commercial, like www.enchantedlearning.com Another excellent resource site (over 30,000 lesson plans here) costing $9.95 a year for memberships than R70 - is at www.lessonplanet.com/ There are excellent mathematics resources for pre-school to Grade 12 and university students (these are suitable for the high flyers in the senior school) at www.forum.swarthmore.edu/math.topics.html/ The beauty of the website is that it links you to a whole lot of other mathematics resources as well. A site that is not commercial and which provides some really interesting activities in a range of learning areas is the American Public Broadcast Service site at www.pbs.org provides activity sheets and background material in geology, hydrology, biology and geography. The geographical stuff is fantastic. Even though it's all about the USA it can be adapted easily. There are activities for pre-school to Grade 12 learners. On a slightly whackier note you can visit Beakman at www.geocities.com/TelevisionCity/Set/4567/ex.html to find some weird and wonderful activities and investigations that come out of a TV science show. Learners will love these. 2 In the end, no matter how much fun we have in the classroom, we have to assess and evaluate. Continuous assessment, rubrics etc. are new to many of us and it is interesting to see what other people are doing. Although materials from other countries may have to be adapted before South African educators can use them, good ideas and examples will always be useful. So have a look at www.techtrekers.com/rubrics.html Finally, here's something for a bit of fun. The web is full of interesting sites like these to spice up your class with puzzles and icebreakers. thinks.com Look in the "Web Guides" on this site and you will find more puzzles. Many of them may be too difficult for your learners. If so, just get the idea of the puzzles and make up your own! There are some nice mathematical puzzles at www.puzzles.com/ There are some good icebreakers and energizers at these two websites: www.eslcafe.com and www.kimskorner4teachertalk.com 3 Noble Kelly recommends the following: www.about.com www.learn.co.com www.openoffice.org www.ubuntu.com Math tutorials: www.math.about.com www.proverto.co.za (grades 10-12) Polyhedron models – nets Wonderful site! http://www.korthalsaltes.com/ Wonderful animations available: http://mathworld.wolfram.com/deVilliersPoints.html Possible interest topics in mathematics: Source:http://www.cyrilq.net/links.html * Marist Australia * Australian Mathematics Trust Information about ways to extend talented students * Peanut Software: EXCELLENT and FREE for IBM/PC * http://www.madison.tec.wi.us/alehnen/winptut/winpltut.htm Great tutorial on the use of Winplot * women mathematicians * more history of mathematics plus other material * Calculus graphics An excellent collection of graphical demonstrations suitable for senior students of Calculus * FlickNTick rapidly transfers multi choice responses from paper to computer * A fractals lesson A fractals unit for primary and able school students. The site provides a valuable resource for the new Mathematics 7-10syllabus. The location is well presented and easy to navigate. * Exploring Data - Very valuable for a range of aspects of Statistics * Mandelbrot explorer A very visual site that allows users to see a wide variety of fractals. It is a valuable teaching resource for the 9-10 mathematics syllabus. * Australian Bureau of Statistics * Australian Bureau of Meteorology * Thousands of Oz links * Fibonacci Numbers and Nature * NSW Board of Studies - links to many sites * Australian Association of Mathematics Teachers - links to many sites * Department of Education and Training N.S.W. * Mathematical Association of N.S.W. * Mathematical Association of Victoria * Archimedes of Syracuse * 19 Proofs of Polyhedral Formula 4 * Boeing 747-400 Product characteristics * Bar Codes * Classroom ideas from Shell Centre * Exchange rates and more * Problem-Solving 1 * http://www.quickmath.com * http://education.qld.gov.au/tal/ * http://www.mathprojects.com/ * http://www.shodor.org/interactivate/index.html * http://www.kutzler.com/ * http://hsc.csu.edu.au/maths/ * http://www.science.org.au/nova/maths.htm * http://aleph0.clarku.edu/~djoyce/java/elements/elements.html * http://www.utm.edu/research/primes/ * http://www.mathgym.com.au/ * http://mathforum.org/pow/ * http://archives.math.utk.edu/newindex.html For software, lessons, etc. * http://www.ies.co.jp/math/java/ Good for angle sums in various circumstances, etc. * http://math.furman.edu/~mwoodard/mqs/mquot.shtml For maths quotations. * http://puzzlemaker.school.discovery.com/ Good for creating a variety of puzzles. * http://www.eyelid.co.uk/numbers.htm For Egyptian numbers. * http://www.univie.ac.at/future.media/moe/galerie.html For seniors. * http://www.tygh.co.uk/tan/tan.htm This site shows patterns with tangrams. * http://www.scienceu.com/geometry/handson/kali/kali.html * http://mathforum.com/johnandbetty/ For complex numbers. * http://math.bu.edu/DYSYS/papers.html Dynamical systems and technology project. 5 Other Math Websites 1. http://www.sparknotes.com/math/ Math study guides - all levels, very extensive 2. http://www.subtangent.com/maths/ig-diagdiff.php In addition to the maths investigations and games, this site offers links to resources for teachers: www.mathsisfun.com Because maths is fun. Mathematics Awareness Month April is Mathematics Awareness Month. This year's theme is Mathematics and the Cosmos. emaths.co.uk Mark McCourt's site is a treasure trove of worksheets, policies, schemes of work, etc. This site offers more than 25 links to more resources. Centre for Innovation in Mathematics Teaching CIMT is now at the University of Plymouth and has a vast array of free downloads, including the complete set of MEP textbooks and printables. This site offers an extensive Guide to Sources of Mathematics on the Internet. Under "Quick Links", look under "Other Information" and select "Mathematics Web Links". Technology for School/College Mathematics TSM at Oundle School has an exhaustive directory of links for just about anything to do with mathematics education. mathsguru.co.uk Mathsguru has loads of worksheets, presentations, etc. mathsroom.co.uk Some nice interactive spreadsheets here. http://www.schoolforge.net/index.php Schoolforge's mission is to promote the sharing of free and open software in education. 6 3. http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/whatsnew.html#multimedia This is the home page for Dr Ron Knott's multimedia web site on the Fibonacci numbers, the Golden section and the Golden string hosted by the Mathematics Department of the University of Surrey, UK. 4. http://illuminations.nctm.org/ Explore our library of 92 online activities that help to make math come alive in the classroom or at home View our collection of 521 lessons for preK-12 math educators Learn about NCTM’s Principles and Standards for School Mathematics Check out hundreds of exemplary online resources, as identified by an editorial panel 5. http://school.discovery.com/lessonplans/programs/probability/ In conjunction with the Discovery Channel, this site features materials for all subjects, all levels - a wealth of information. 6. http://atschool.eduweb.co.uk/ufa10/investig.htm 26 math investigations are featured. 7. http://www.beenleigss.eq.edu.au/teacherpage/investigations.html 70 investigations for grade 7 are categorized by NUMBER, SPACE, CHANCE AND DATA. PATTERNS AND ALGEBRA, MEASUREMENT 8. http://mathworld.wolfram.com/ MathWorldTM is the web's most extensive mathematical resource, provided as a free service to the world's mathematics and internet communities as part of a commitment to education and educational outreach by Wolfram Research, makers of Mathematica. 9. http://www.cut-the-knot.org/ This is a powerful site with plenty of math information and wonderful animation applets. The math is often higher math, but many ideas for all levels. 10. http://www.ajdesigner.com/phptriangle/right_triangle_altitude_hc.php J Design Software provides free software programs, freeware applications and online calculators for engineering, design, science and education problems. 7 11. http://hotmath.com/math-tests.html About Hotmath: We are math teachers and professors who believe that immediate help with assigned homework improves math learning. We know that math is a gateway subject for success in school and careers. Our mission is to help every student succeed in math. 12. http://cte.jhu.edu/techacademy/web/2000/heal/siteslist.htm Really Cool Math Websites! Cool Algebra Sites! Cool Geometry Sites! Even Cool Discrete Math, Trigonometry and Calculus Sites! Cool Math Puzzles and Cool Math Brain Teasers Sites! Cool Math Web Quest Sites! Cool Math Humor! Cool Elementary, Middle School, and High School Math Teacher Resources! Cool Math Links: Interactive Puzzles Ask Dr. Math AIMS Puzzle Corner Geometry Web Quests Math Forum Cool Math Sites Geometry House Pictures 2000 Student Tessellations Algebra Projects Geometry House Pictures 2001 Patterns Research Sites Math Rubrics and Checklists 13. http://www.pgcps.org/~sthills/homework_help.htm A variety of more than 40 links to various contents. 14. http://www.middleweb.com/CurrMath.html Articles, E-Mail and Web Links about Mathematics 15. http://mathforum.org/ The Math Forum is the leading online resource for improving math learning, teaching, and communication since 1992. We are teachers, mathematicians, researchers, students, and parents using the power of the Web to learn math and improve math education. We offer a wealth of problems and puzzles; online mentoring; research; team problem solving; collaborations; and professional development. Students have fun and learn a lot. Educators share ideas and acquire new skills. Special places: http://mathforum.org/teachers/mathproject.html Projects ideas. 8 http://mathforum.org/workshops/sum96/data.collections/datalibrary/lesson.ideas.h tml Collaborative Projects. 16. http://www.math.ca/Education/mpsf/ Projects ideas (17 pages, with references) 17. http://emmy.nmsu.edu/breakingaway/main.html Project ideas 18. http://nlvm.usu.edu/en/nav/vlibrary.html A library of virtual manipulatives: 19. http://www.scienceu.com/geometry/facts/solids/index.html Platonic and Archimedean Solids 20. www.mathgoodies.com/teachers.html Free math help site that offers more than 400 pages of K-12 activities to students, educators, and parents: 21. www.nytimes.com/learning/teachers/lessons/math.html Provides lesson plans for grades 6-12 that use recent New York Times articles as springboards for examining mathematics topics in interesting and exciting ways. 22. www.algebrahelp.com Features lessons, calculators, and worksheets for students and teachers of algebra. All resources are accessible free of charge and without registration: 23. http://www.stfx.ca/special/mathproblems/ Word Problems 24. http://presh.com/hovinga/regularandsemiregularconvexpolytopesashorthistoricaloverview .html Geometry site 9 25. http://www.pballew.net/arithm13.html Good math site for math words 26. http://www.mckeague.com/PiMATYC06.htm Pat Mckeague, noted math textbook author 10 ADDITIONAL From Mike de Villiers, South Africa - Fabulous! http://mysite.mweb.co.za/residents/profmd/homepage.html http://mysite.mweb.co.za/residents/profmd/homepage4.html 11 Professional organizations and related information: 1. http://www.nctm.org/ National Council of Teachers of Mathematics: 2. http://www.nctm.org/standards/. NCTM's Principles and Standards for School Mathematics, The chapters address all the subject areas: algebra, geometry, measurement, probability, statistics, etc within the context of different grade levels. 3. www.nctm.org/reflections NCTM professional development resource, features classroom videos that enable teachers to analyze and reflect on instructional practices. It also includes lessons and questions to guide teachers' reflections: 4. http://my.nctm.org/eBusiness/ProductCatalog/product. aspx?ID=755 http://my.nctm.org/eBusiness/ProductCatalog/product.aspx?ID=12175. NCTM products: 6. http://my.nctm.org/eBusiness/ProductCatalog/product.aspx?ID=60 NCTM publishes other interesting resources like Math through Paper Folding 7. http://www.ablongman.com/catalog/academic/product/0,1144,0205292569,00.html I really like Sobel and Maletsky's Teaching Mathematics: A Sourcebook of Aids, Activities, and Strategies, 3/E . You can get that through a bookstore, or places like Amazon. One link I found via Google is listed here. 8. http://honolulu.hawaii.edu/intranet/committees/FacDevCom/guidebk/teachtip/teachtip.ht m An extensive collection of teacher resources and links 9. http://www.octm.org/ Oregon Council of Teachers of Mathematics (check out the Math Links) 10. http://www.keypress.com/ http://www.keypress.com/catalog/products/textbooks/Prod_DiscAlgebra.html Key Curriculum Press is a very progressive publisher of good math materials. 12 11. http://coolmath4teachers.com Provides lesson plans and ideas for teaching math skills, as well as mentor program for new math teachers and information about professional development opportunities: 12. http://courses.ncssm.edu/math/index.htm North Carolina School for Science and Mathematics is a good source for materials and professional development. Check out their Math Department at the address given here. 13. http://camel.math.ca/ Canadian Mathematical Society Others www.intmath.com www.ams.org Teacher Tube Site: http://www.teachertube.com/video.php?category=mv&viewtype= Abbot and Costello 7 x 13 = 28 (2 videos:) http://www.teachertube.com/view_video.php?viewkey=93b89d8fbee5667d077f http://www.youtube.com/watch?v=rLprXHbn19I Ma and Pa Kettle 5 x 14 = 25 http://video.google.com/videoplay?docid=7106559846794044495&pr=goog-sl Big numbers 1. This shows the size of $ 87 billion: http://www.crunchweb.net/87billion 2. This shows the powers of 10: http://micro.magnet.fsu.edu/primer/ java/scienceopticsu/powersof10/ 13 Are you looking for new ways to present advanced mathematical concepts to your high school students? The Internet offers many free online resources for lessons, games, activities, and interactive whiteboards that math teachers can use to engage students and enhance teaching. Here is a list of 20 free resources for high school math teachers to explore: <http://www.nctm.org/>NCTM – NCTM (National Council of Teachers of Mathematics) offers lessons, practice problems, and teaching tips for high school math teachers. Teachers can also find professional development resources, journals, books, and news for educational mathematics. <http://www.teach-nology.com/teachers/lesson_plans/math/912/>TeAchnology – This comprehensive online teacher’s warehouse offers free lesson plans for use in high school math. TeAchnology also features worksheets and rubrics. <http://mathforum.org/library/>The Math Forum – The Math Forum is a huge math site that provides math resources for teachers of all grades. The site can be used by high school teachers to find lesson plans, activities, games, manipulatives, books, calculators, and more. <http://www.math-videos-online.com/index.html>Math-Videos-Online.com – Teachers can use this site to find educational teaching videos for explaining difficult concepts in algebra, geometry, probability, and more. <http://nlvm.usu.edu/en/nav/vlibrary.html>National Library of Virtual Manipulatives – The National Library of Virtual Manipulatives offers web-based concept tutorials to help with math teaching. These concept tutorials or virtual manipulatives allow your student to actually work with and visualize relationships. <http://illuminations.nctm.org/>Illuminations – Illuminations is an excellent site for finding activities, lessons, and standards for your math classroom. The site also features links to more than 700 math resources on the web. <http://www.col-ed.org/cur/math.html>Mathematics Lesson Plans – This lesson plan site features downloadable lesson plans for K-12 students. The lesson plans for high school math cover geometry and algebra. <http://free.ed.gov/subjects.cfm?subject_id=33>FREE – FREE (Federal Resources for Educational Excellence) offers over 100 resources for teaching algebra, geometry, data analysis, and number operations. Within this site, you will find activities, modules, lesson plans, advanced methods, and instructional units. <http://www.theteacherscorner.net/lesson-plans/math/index.htm>TheTeachersCorner.net – TheTeachersCorner.net provides math lesson plans, games, and worksheets for high school math. Teachers can also use this site to connect with others through message boards, bulletin boards, and a teacher’s lounge. <http://www.bgfl.org/bgfl/15.cfm?s=15&p=245,index>BGFL – This interactive whiteboard site features activities for high school teachers to use in their classroom. Just a few of the resources 14 listed are Angle Estimator, Graph Generator, and Explore Co-ordinates. <http://www.topmarks.co.uk/Interactive.aspx?cat=138>Topmarks – Topmarks provides free online interactive whiteboard resources for use in algebra, statistics, geometry, and measures. Through this site, teachers can also find resources for K-12 literacy, science, biology, history, religious studies, geography, art, and music. <http://cemc2.math.uwaterloo.ca/cgi- bin/WebObjects/mathres.woa/1/wo/3Y466h9t9VkDWSvjFNbbOg/0.0.15.3>MathSwap – Just as the name states, MathSwap is a free place for math teachers to swap lesson plans and activities. The lessons are presented in downloadable PDFs and cover grades 7-12. <http://www.awesomelibrary.org/Classroom/Mathematics/Middle-High_School_Math/Middle- High_School_Math.html>Awesome Library – The Awesome Library offers discussions, games, lesson plans, projects, and worksheets for high school math. Within the pages of this site, you can find resources for algebra, calculus, data analysis, graphing, and trigonometry. <http://db.education-world.com/perl/browse?cat_id=1875>Education World – Education World features over 400 lesson plans, activities, games, and more for advanced math. Just a few of the math concepts featured on this site are algebra, trigonometry, geometry, probability, and statistics. <http://www.shodor.org/interactivate/lessons/>Interactivate – The Interactivate site is a good place to find free online lessons for your high school math classroom. The site features 98 different lessons for numbers and operations, geometry, algebra, statistics, probability, and more. <http://www.mathway.com/>Mathway – With over a million problems already solved, Mathway offers a way for your students to compare and understand solutions to difficult math problems. Within this free beta site you can find solutions and graphs for basic math, pre-algebra, algebra, trigonometry, pre-calculus, and calculus. <http://www.math-play.com/>Math-Play.com – Math-Play.com features free online math games for algebra and geometry. This site also provides interactive, logic, and elementary games. <http://cemc2.math.uwaterloo.ca/wired_math/English/grade9.shtml>Wired Math – Wired Math offers free online games, exercises, and answers that teachers can use with their freshman students. The games are provided for number sense and numeration, linear relations, geometry, and algebra. <http://mathworld.wolfram.com/>Wolfram Mathworld – The Wolfram Mathworld site is a comprehensive mathematics resource for teachers to find examples of concepts in algebra, calculus, geometry, probability and statistics, and topology. <http://www.math.com/>Math.com – Although this site was designed for students, there are plenty of free resources for math teachers including worksheets, lesson plans, and formulas. 15 Wonderful math website: http://opinionator.blogs.nytimes.com/category/steven-strogatz/ www.teachertube.com Check out illumination lessons on symmetry, transformations, etc. http://www.nctm.org/publications/mt.aspx 16