This work describes tasks that have been used successfully in a range of contexts and countries and are often examples of a broader category of tasks of illustrative of techniques for developing a particular understanding in primary age students.

This volume emerges from discussions during the ICMI study on teacher professional development. The volume successfully incorporates the ICMI theme into relevant research and innovative practices dealing with tasks for mathematics teachers.

Focusing on an approach of solving rigorous problems and learning how to prove, this volume is concentrated on two specific content themes, elementary number theory and algebraic polynomials. The benefit to readers who are moving from calculus to more abstract mathematics is to acquire the ability to understand proofs through use of the book and the multitude of proofs and problems that will be covered throughout. This book is meant to be a transitional precursor to more complex topics in analysis, advanced number theory, and abstract algebra. To achieve the goal of conceptual understanding,...