Rina Zazkis is Professor of Mathematics Education at the Faculty of Education and an associate member in the Department of Mathematics at the Simon Fraser University, Canada. She holds an appointment of Tier 1 Canada Research Chair, a prestigious recognition of excellence in research and research training.John Mason spent 40 years at the Open University constructing distance-taught courses in mathematics and mathematics education. He is perhaps best known for Thinking Mathematically and Researching Your Own Practice Using the Discipline of Noticing. His main interests are in the nature and role of attention, the use of mental imagery and the fostering of mathematical thinking.Igor’ Kontorovich is Senior Lecturer in Mathematics Department at the University of Auckland, New Zealand. He is interested in understanding the processes that people go through when learning and teaching mathematics in secondary school and university.

• PrefaceEntering the TerrainGetting Ready to ActSnapshot 1 – Capturing Numbers Snapshot 2 – Departing Base Ten Snapshot 3 – Measuring with Numbers Snapshot 4 – Exploring Variations in Algorithms for Arithmetic Operations Snapshot 5 – Cycling Through Numbers Snapshot 6 – Representing Numbers Multiplicatively Snapshot 7 – Revisiting Fractions Snapshot 8 – Transitioning Between Numerical Domains Snapshot 9 – Playing with Numbers Final Word

Rina Zazkis is Professor of Mathematics Education at the Faculty of Education and an associate member in the Department of Mathematics at the Simon Fraser University, Canada. She holds an appointment of Tier 1 Canada Research Chair, a prestigious recognition of excellence in research and research training.John Mason spent 40 years at the Open University constructing distance-taught courses in mathematics and mathematics education. He is perhaps best known for Thinking Mathematically and Researching Your Own Practice Using the Discipline of Noticing. His main interests are in the nature and role of attention, the use of mental imagery and the fostering of mathematical thinking.Igor’ Kontorovich is Senior Lecturer in Mathematics Department at the University of Auckland, New Zealand. He is interested in understanding the processes that people go through when learning and teaching mathematics in secondary school and university.

• PrefaceEntering the TerrainGetting Ready to ActSnapshot 1 – Capturing Numbers Snapshot 2 – Departing Base Ten Snapshot 3 – Measuring with Numbers Snapshot 4 – Exploring Variations in Algorithms for Arithmetic Operations Snapshot 5 – Cycling Through Numbers Snapshot 6 – Representing Numbers Multiplicatively Snapshot 7 – Revisiting Fractions Snapshot 8 – Transitioning Between Numerical Domains Snapshot 9 – Playing with Numbers Final Word

Rina Zazkis is Professor of Mathematics Education at the Faculty of Education and an associate member in the Department of Mathematics at the Simon Fraser University, Canada. She holds an appointment of Tier 1 Canada Research Chair, a prestigious recognition of excellence in research and research training.John Mason spent 40 years at the Open University constructing distance-taught courses in mathematics and mathematics education. He is perhaps best known for Thinking Mathematically and Researching Your Own Practice Using the Discipline of Noticing. His main interests are in the nature and role of attention, the use of mental imagery and the fostering of mathematical thinking.Igor’ Kontorovich is Senior Lecturer in Mathematics Department at the University of Auckland, New Zealand. He is interested in understanding the processes that people go through when learning and teaching mathematics in secondary school and university.

• PrefaceEntering the TerrainGetting Ready to ActSnapshot 1 – Capturing Numbers Snapshot 2 – Departing Base Ten Snapshot 3 – Measuring with Numbers Snapshot 4 – Exploring Variations in Algorithms for Arithmetic Operations Snapshot 5 – Cycling Through Numbers Snapshot 6 – Representing Numbers Multiplicatively Snapshot 7 – Revisiting Fractions Snapshot 8 – Transitioning Between Numerical Domains Snapshot 9 – Playing with Numbers Final Word