Maths concept maps
This is a series of framework statements that have been
developed in significant areas of mathematics. They:

provide
information about the key mathematical ideas involved

link
to relevant ARB resources, and

suggest
some ideas on the teaching and assessing of that
area of mathematics.
These
concept maps are added to as further research and trialling
in the respective areas are conducted.
Probability (2010)
Probability is all around us. It underpins both statistical investigations and statistical literacy. While the main thrust is on quantitative probability, qualitative probability is also addressed. Key probability ideas and common misconceptions are also covered.
Basic facts (2009)
This looks at the usual addition, subtraction, multiplication, and division basic facts. It also extends these to larger numbers, and to fractions, decimals and percentages as well. Students who have a good vocabulary of basic facts are able to concentrate on other aspects of mathematical problems.
Algebraic patterns (2009)
The study of patterns is a key part of algebraic thinking. It is important that students are able to recognise and analyse patterns and make generalisations about them.
Patterns can be created from shapes, sounds, colours or numbers. They can be visual or spatial, repeating or growing. Students can continue a given pattern, find missing elements, identify general rules, or make up their own pattern.
Fractional
thinking
This
provides a concept map of teaching and learning issues
for fractions. It looks at partitioning, partwhole
understanding of fractions, equivalence, and fractions
as operators. Links to relevant ARB resources
are also provided.
Algebraic
thinking
This
concept map highlights key areas of Algebraic thinking
that influence students' ability to solve algebraic
equations in later years. The concepts covered
are equality, additive identity, commutativity, and
associativity. Links to relevant ARB resources
are also provided.
Computational
estimation
This gives a general introduction to computational information,
including some important mathematical
skills and attitudes that the research indicates are
needed to be an effective estimator. It includes a directory
of different types of estimation, and includes a description
of a range of estimation techniques.
Journalling
in Mathematics
This is about the benefits of journalling in Mathematics.
It includes a range of practical ideas for journalling
in the maths classroom, and links to some relevant ARB
resources.
Other
big maths ideas and concept maps based upon an ongoing
research programme at NZCER will be added as they are
completed. Currently concept maps about
Algebraic patterns and Basic facts are being developed.
ARB
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