The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the fourth-grade level through visualization, play, and…

This article provides detailed analysis, from a radical constructivist perspective, of a sequence of letter-writing exchanges between a preservice secondary mathematics teacher and a high school student. This analysis shows the ways in which the preservice teacher gained understanding of the high school student's mathematics and attempted to pose…

This book is the result of the collaborative effort of nine AYA National Board Certified Teachers in Mathematics. It represents a compilation of teacher-tested activities that prompt high school students to explore, conjecture and reflect on their mathematical adventures-- thus "experience mathematics." This edition will educate the teacher…