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Mathematics Information Evening with Professor Di Siemon

AMpTue, 25 Feb 2014 09:06:42 -040006Tuesday 14, 2009 by Grade56neighbourhood blog   

Thank you to all parents who attended the evening. There have been requests by parents to share some of Di’s work with the community. Attached is the extended power-point Di uses to present the key concepts behind mathematics teaching and learning. We hope that this will support you with how we approach learning here at PHPS and provide you with ideas to work with at home.

Research on teaching and learning and developments in our technological society have prompted considerable changes in how mathematics is taught. School mathematics NOW involves interaction and negotiation of the „big ideas‟. Contemporary approaches include: extended investigations, rich tasks, open-ended questions, games, discussion of solution strategies, mental computation, and visualisation

These are the ‘Big Ideas’ that address key concepts which, if not understood, will undermine students’ capacity to engage meaningfully with core aspects of the Number Strand in subsequent years. The first four are largely addressed in Primary school and are introduced in Prep as initial concepts and developed throughout the learning journey to Year 6.

Big Idea Description
Trusting the Count Developing flexible mental objects for the numbers 0 to 10


Place value Moving beyond counting by ones, the structure of the base 10 numeration system


Additive to Multiplicative thinking Moving from a count of equal groups (eg 1 six, 2 sixes, 3 sixes, 4 sixes, …) to a constant number of groups (eg 6 ones, 6 twos, 6 threes, 6 fours, 6 fives …), the key to understanding rational number and developing efficient mental and written computation strategies in later years


Partitioning The missing link in building common fraction and decimal knowledge, understanding and confidence


Proportional reasoning Extending what is known about multiplication and division beyond rule-based procedures to solve problems involving fractions, decimals, per cent, ratio, rate and proportion


Generalising Skills and strategies to support equivalence, recognition of number properties and patterns, and the use of algebraic expressions



Di Siemon – PowerPoint presentation of key ideas and strategies for teaching numeracy in the primary years

Place-Value Game – A useful tool for extending your child’s mathematical thinking about number

ten_frame_blank – Another tool referred to by Di Siemon in her presentation


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