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.
In the following table 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's extended Powerpoint
DiSIEMON-Whole-Number-2 -
Here are some resources that you can use at home:
A blank Tens frame (you can use this for subitising, counting on, making to five and ten)
ten_frame_blank -
A Place Value Game Board
Place-Value Game -
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