Gamma Mathematics (3rd Edition) – a new
structure – to fit the curriculum and 13
• There are 44 credits available at NCEA Mathematics Level 1, but
the expectation is that students may/might/will/could only be
assessed on about 24.
• Schools will have flexibility to decide on courses – in particular a
subset of the 13 Achievement Standards that meets the needs of
• This is totally different from the old-style system (School Certificate
and the early days of NCEA) where students were often taught the
whole course, so one comprehensive textbook covered all.
Gamma Mathematics – a complete package
• The Gamma Mathematics package covers all 13 Level 1
Mathematics Achievement Standards.
• We are proposing a ‘two printed books’ solution to offer a ‘best fit’ to
schools. Gamma Mathematics will be released in two printed
volumes for student and teacher convenience. Feedback from
schools so far has been very positive.
• The Gamma Mathematics Teaching Resource will be a single
Gamma Mathematics – the two printed
Gamma Mathematics Gamma Fundamentals
1.1 Number INT 4 1.1 Number INT 4
1.2 Algebra (methods) CAT 4 1.4 Algebra (problem-solving) INT 3
1.3 Algebra (relationships) EXT 4 1.5 Measurement INT 3
1.4 Algebra (problem-solving) INT 3 1.8 Geometry (loci, scales) INT 3
1.6 Geometry/Trig EXT 4 1.9 Transformation geometry INT 2
1.7 Geometry (problem-solving) INT 3 1.10 Stats (multivariate data) INT 4
1.10 Stats (multivariate data) INT 4 1.11 Stats (bivariate data) INT 3
1.11 Stats (bivariate data) INT 3 1.12 Stats (chance and data) EXT 4
1.12 Stats (chance and data) EXT 4 1.13 Experimental probability INT 3
Total 33 29
Note: CAT = Common assessment task (set externally, administered
and marked internally).
Why not one printed book?
• Expense – it would be substantially longer than the current 600 page
Gamma 2nd Edition, or would cover each AS ‘once-over lightly’. The
intention of the new 13 AS approach is to cover material in more
depth, not less. This meets long-standing teacher concerns that
there hasn’t been enough time to lock in student understanding.
• Schools would not want to buy printed textbooks where students
only use about half; similarly with workbooks
Gamma Mathematics – an overview
• Contains all the Externally Assessed Achievement Standards, plus a
‘Common Assessment Task’ for AS 1.2 (Apply Algebraic Methods)
• Contains the maths needed as pre-requisites for Year 12 Maths.
Gamma Mathematics is the best choice for students doing NCEA
Level 2 in the following year.
• Is designed to allow some choice for schools – it contains 9
Achievement Standards altogether, so doesn’t dictate a course.
Schools may not cover both 1.10 & 1.11 for example, but both are
included to allow a choice.
Gamma Fundamentals – an overview
• Focuses on Internally Assessed Achievement Standards
• Could be used with accelerate students in Year 10
• Some students may take two years to do NCEA Level 1. Gamma
Fundamentals provides an ideal course for the first year.
• In both cases above Gamma Fundamentals offers a worthwhile
integrated course – at Level 6 of the MiNZC curriculum. It is NOT a
non-academic, dumbed-down course.
The overlap – an explanation
• Number is included in both books to make each one of ‘stand alone’
• Statistics is included in both books – given the emphasis from the
Ministry on the importance of the Statistical Enquiry Cycle (PPDAC).
A choice between 1.10 (Multivariate data) and 1.11 (Bivariate data)
is not dictated by the Gamma text(s). Many schools will offer one of
these only in any given Level 1 Year.
Gamma Mathematics (3rd Edition)
• Increased emphasis on proportional reasoning and compounding
• New section on Optimal solutions (AS 1.3)
• New section on Derived measures (AS 1.5)
• All statistics sections (AS 1.10, 1.11, 1.12) rewritten to reflect the
Statistical Enquiry Cycle approach
• Comparing multivariate data sets (AS 1.10) includes the new
‘comparative boxplot analysis’ approach (University of Auckland
Statistics Working Group)
• One day delivery of textbooks may well be electronic. We already
offer e-texts, such as the new Alpha Mathematics. Several schools
at present plan using it in this form. This number will grow.
• We envisage that the course could eventually be delivered in
‘modules’, so that schools could compile their own learning
programmes. By using Gamma Mathematics, schools can choose
any or all of the 13 modules.