These are series of conceptual
frameworks that are being developed in significant areas of mathematics.
They provide information about the key mathematical ideas, link to
relevant ARB resources, and suggest some ideas on the teaching and
assessing of that area of mathematics.
concept maps are added to as further research and trialling in the
respective areas are conducted.
Presentations given by ARCT maths researchers/resource developers at
Numeracy huis, teacher conferences, research conferences, and lead teacher
These presentations often relate to
classroom investigations and resource development as a part of developing
the concept maps.
A growing selection of short articles written about mathematical
These short articles (articlettes) stem
from resource development work where an idea or important point about a
concept is explored in a little more depth.
on the links below to view the concept maps and associated assessment
resources for each:
Concept Map (2010)
Concept Map (2009)
Concept Map (2009)
Concept Map (2007)
Concept Map (2006)
Concept Map (2005)
Click on the links below to view the
Algebraic Patterning (2009)
Basic Facts (2008)
Exploring Concepts in Algebraic Patterning (2008)
Unpacking Student Responses (2008)
Supporting PD in algebraic and fractional thinking (2007)
Thinking through Number (2006)
about Fractions (2006)
Learning and Proportional Reasoning (2005)
on the links below to view the articles:
The Statistical Enquiry Cycle (2011)
Statistical investigations should follow the statistical enquiry cycle (SEC) that is mentioned in the New Zealand Curriculum. This affirms that statistics is more than just gathering, analysing, and displaying data.
Dividing with fractions (2010)
Dividing one fraction by another fraction can be a difficult maths problem to conceptualise, represent, or solve with understanding...
Unitising and re-unitising (2010)
Unitising is about selecting a unit of measurement with which to measure or interpret other quantities. Unitising is a strategy that can be used to work out another quantity that relates to the unit selected...
of data: Statistics (2009)
This is about using
different types of data for graphing in statistics.