Recommended Books

Mathterpieces: The Art of Problem-Solving

Greg Tang

Australian Curriculum:  Description

Foundation Year – Subitise small collections of objects (ACMNA003);
Year 1 – Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning, and rearranging parts (ACMNA015);
Year 2 – Describe, continue, and create number patterns resulting from performing addition or subtraction (ACMNA035).

Teaching ideas
Students investigate other situations involving subitising and counting on with and without distractors in routine and non-routine situations. Students could write the number sentences represented by art in this book (representational to abstract).

Anno’s Mysterious Multiplying Jar

Masaichiro and Mitsumasa Anno

Australian Curriculum:  Description

Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers (ACMNA123)

Teaching ideas
At a year 6 level, factorial numbers can be used to help students understand and be able to explain the power of the operation of multiplication in contrast with addition. Specialist Mathematics in the Senior Secondary Mathematics Curriculum (ACARA) covers the concept of factorial notation (ACMSM003).

Anno’s Magic Seeds

Mitsumasa Anno

Australian Curriculum:  Description

Solve word problems by using number sentences involving multiplication or division where there is no remainder (ACMNA082); Find unknown quantities in number sentences involving addition and subtraction and identify equivalent number sentences involving addition and subtraction (ACMNA083)

Teaching ideas
Explore other patterns such as square numbers, triangular numbers, Fibonacci sequence etc.

One is a Snail Ten is a Crab

April Pulley Sayre and Jeff Sayre

Australian Curriculum:  Description

Recall multiplication facts up to 10 × 10 and related division facts (ACMNA075)

Teaching ideas
Use other objects to represent multiplicative thinking

Matherpieces: The Art of Problem-Solving

Greg Tang

Australian Curriculum:  Description

Subitise small collections of objects (ACMNA003); Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging parts (ACMNA015); Describe, continue, and create number patterns resulting from performing addition or subtraction

Teaching ideas
Students investigate other situations involing subitising and counting on with and without distractors in routine and non-routine situations. Students could write the number sentences represented by art in this book (representational to abstract).

When the King rides by

Margaret Mahy

Australian Curriculum:  Description

F. Y – Establish understanding of the language and processes of counting by naming numbers in sequences, initially to and from 20, moving from  any starting point (ACMNA001); Year 2 – Describe patterns with numbers and identify missing elements (ACMNA035)

Teaching ideas
Explore other mediums with patterns e.g. wrapping paper and fabric. Show students how patterns can help to predict --> expect --> plan.

How Many Snails?

Paul Giganti Jr

Australian Curriculum:  Description

F. Y – Establish understanding of the language and processes of counting by naming numbers in sequences, initially to and from 20, moving from  any starting point (ACMNA001); Year 2 – Describe patterns with numbers and identify missing elements (ACMNA035)

Teaching ideas
Explore other mediums with patterns e.g. wrapping paper and fabric. Show students how patterns can help to predict --> expect --> plan.

12 Ways to Get to 11

Eve Merriam

Australian Curriculum:  Description

F.Y – Establish understanding of the language and processes of counting by naming numbers in sequences, initially to and from 20, moving from  any starting point (ACMNA001); F.Y – Represent practical situations to model addition and sharing (ACMNA004); Year 1 – Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging parts (ACMNA015)

Teaching ideas
Build on the concept of counting on, partitioning and part-part-whole with other object sequences.