Mathematics
Information Evening with Professor Di Siemon
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
|
DiSIEMON-Whole-Number-2
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Place-Value Game