Teaching Maths With Peter Sullivan
Biography
Peter has had a career that combines research into task design with the development of teacher support resources and classroom trialling. He was author of the Shape of the Australian Mathematics Curriculum, a paper commissioned by the National Curriculum Board to lay the foundation of the Australian curriculum. Subsequently he was appointed the “lead writer” for the development phases of the curriculum and has supported ongoing development of the documents, including consulting on the review conducted in 2015. He was also the author of the Australian Education Review publication “Teaching mathematics: Using research-informed strategies” that has now been downloaded over 240,000 times from the ACER website.
Peter was editor for seven years, and for three years chief editor of the prestigious Journal for Mathematics Teacher Education, published by Springer. He was also editor of the Mathematics Education Research Journal published by Springer. He has an extensive list of publications for teachers and researchers including books, books chapters, journal articles and conference publications.
Research interests
Mathematics curriculum, especially National Curriculum
Teaching and learning in Mathematics
Student engagement
Disadvantaged students' achievement in mathematics
Coming May 2025
Number flexibility games using 10 dice
1. Flexibility with numbers to 10 using 10 dice (Foundation)
2. Flexibility with numbers to 120 using 10 dice (Levels 1 and 2)
3. Flexibility with numbers to 1100 using 10 dice (Levels 2 and 3)
4. Flexibility with fractions using 10 dice (Levels 4 and 5)
5. Flexibility with number operations and fractions using 10 dice (Levels 5 and 6)
Addition and subtraction games based on Race to …
1. Counting On and Counting Back games to 20 (Foundation)
2. Counting On and Counting Back games to 120 (Levels 1 and 2)
3. Counting On and Counting Back games to 1200 (Levels 2 and 3)
4. Counting On and Counting Back games using decimals (Levels 4 and 5)
5. Counting On and Counting Back games using fractions (Levels 5 and 6)
Arrays
1. Using arrays to show multiplication and division (Foundation, Level 1)
2. Using arrays to show multiplication and division to 20 (Levels 2 and 3)
3. Using arrays to show multiplication and division to 20 (Levels 3 and 4)
4. Using arrays to show multiplication and division to 20 (Levels 5 and 6)
Connections between inverses
1. Fact families connecting addition and subtraction (Levels 1 and 2)
2. Fact families connecting multiplication and division (Levels 3, 4, and 5)
3. Number grids connecting addition and subtraction (Levels 1 and 2)
4. Number grids connecting multiplication and division (Levels 3, 4, and 5)
5. Number grids connecting multiplication and division by multiples of 10 (Levels 3, 4, and 5)
6. Pyramid numbers connecting addition and subtraction (Levels 1 and 2)
7. Pyramid numbers connecting multiplication and division (Levels 3, 4, and 5)
Inclusive choral counting
1. Subitising up to 5 (early Foundation)
2. Numbers on tens frames to 20 (later Foundation and Level 1))
3. Representing numbers to 100 using Base 10 materials and coloured counters (Level 2)
4. Representing numbers to thousands using money and Base 10 materials (Level 3)
5. Representing decimals using Base 10 materials (Level 4, 5)
6. Representing fractions, halves and quarters (Levels 3, 4, 5)
7. Representing fractions, fifths and tenths (Levels 5, 6)
Reading and recognising numbers
1. Single digits (Foundation)
2. Numbers to 120 (Levels 1 and 2)
3. Numbers to 1100 (Levels 2 and 3)
4. Decimals (Levels 3 and 4)
5. Fractions (Levels 5 and 6)
Creating patterns and sequences on scaled number lines
1. Sequences to 120 (2, 5, 10) (Level 1)
2. Sequences to 1100 (Level 2)
3. Sequences to 10,000 (Level 3)
4. Sequences using decimals (Level 4 and 5)
5. Sequences using fractions (Level 5 and 6)
Empty number lines
1. Addition and subtraction to 20 (Foundation)
2. Addition and subtraction to hundreds (Levels 1 and 2)
3. Addition and subtraction to thousands (Levels 2 and 3)
4. Addition and subtraction of decimals (Levels 4 and 5)
5. Addition and subtraction of fractions (Levels 5 and 6)