Over the past few decades there has been increased interest in how students and teachers think and learn about negative numbers from a variety of perspectives. In particular, there has been debate about when integers should be taught and how to teach them to best support students' learning. This book brings together recent work from researchers to…

In 1999, Liping Ma published her book "Knowing and Teaching Elementary Mathematics: Teachers' Understanding of Fundamental Mathematics in the United States and China," which probed the kinds of knowledge that elementary school teachers need to convey mathematical concepts and procedures effectively to their students. Later that year,…

Each new headline about American students' poor performance in math and science leads to new calls for reform in teaching. This book examines key issues in the debate and offers a vision and recommendations for improving teacher education in science, mathematics, and technology. It also puts the whole picture together by synthesizing what is known…

What are the effective approaches of teaching and learning mathematics? How do teachers build on knowledge of students' thinking? What knowledge is needed for teachers to teach effectively? The author answers these questions by examining the differences between the pedagogical content knowledge of elementary and middle school mathematics teachers…

Algebra is no longer just for college-bound students. After a widespread push by the National Council of Teachers of Mathematics (NCTM) and teachers across the country, algebra is now a required part of most curricula. However, students' standardized test scores are not at the level they should be. NCTM's seventieth yearbook takes a look at the…

This book presents research undertaken as a two-year investigation of two sets of related questions about teacher understanding concerning rational numbers, quantity, and proportional reasoning and how this knowledge affects teachers' awareness of how students learn. Chapter 2 provides a conceptual framework. Chapter 3 presents detailed…

The Mathematical Sciences Education Board (MSEB) and the U.S. National Commission on Mathematics Instruction (USNCMI) took advantage of a unique opportunity to bring educators together. In August 2000, following the Ninth International Congress on Mathematics Education (ICME-9) in Makuhari, Japan, MSEB and USNCMI capitalized on the presence of…

This book provides a theoretical basis and practical strategies to counter resistance to learning to teach for diversity (in culturally and gender-inclusive ways), and resistance to teaching for understanding (using student-centered and inquiry-based pedagogical approaches). Teacher educators from across the United States present rich narratives…