This chapter is a case study examining the symbiotic relationship among an Arts and Sciences mathematics department, a school of education, and a large urban public school district, as a context for the development of pedagogical content knowledge in the curriculum. Specifically, Hunter College, CUNY, has a long-standing master's program in…

The Common Core State Standards for Mathematics (CCSSM) highlight the importance of students' conceptual understanding, mathematical reasoning, and problem solving in order to prepare students for college and careers. However, the success of this reform effort largely depends on how teachers actually design and implement instruction based on the…

Many teachers experience the tension between using published curriculum materials and teaching in ways that are responsive to children. Teachers are often expected to use a particular mathematics curriculum series, but they still want to be able to build on and connect to children's multiple mathematical knowledge bases (MMKB).…

In recent years, learning progressions (LPs) have captured the interest of educators and policy makers. There have been numerous efforts to develop LPs aligned to college and career readiness standards, to unpack these standards, and to provide more clarity on the pathways students follow to reach them. There is great variation, however, in the…

"Focus in Grade 1: Teaching with Curriculum Focal Points" describes and illustrates learning paths for the mathematical concepts and skills of each grade 1 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate…

This book describes and illustrates learning paths for the mathematical concepts and skills of each grade 8 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate understanding, stimulate productive discussions about…

Several myths have grown up around problem solving as a result of the manner in which problem solving has traditionally been taught in schools. These myths are harmful to children, they affect curriculum decision of teachers, distort discussions about problem solving and undermine the mathematics reform movement in general.

This paper examines sixth-grade children's thinking related to solving ratio and proportion problems before these children had received any instruction in the domain. It explores unitizing and norming, one of the processes identified by both content analyses (Behr, Harel, Post, & Lesh, 1990); Harel, Behr, Post & Lesh, 1990) and research in…

This study examines the relationship between children's procedural and conceptual understanding of mathematics and their accuracy in reporting and interpreting geography text material containing mathematical information. It was hypothesized that (1) children's misconceptions or lack of experience with particular mathematical content areas would be…

Abstracts of most of the papers, symposia, and poster sessions presented at the 60th conference of the National Association for Research in Science Teaching (NARST) are provided. Subject areas addressed include: videodisc technology; problem solving; cognitive learning; attitudes toward science; teaching strategies; science, technology, society;…

This document contains the abstracts of most of the papers, symposia, and poster sessions presented at the 62nd Annual Conference of the National Association for Research in Science Teaching (NARST). Subject areas addressed include: teacher preparation; science, technology and society; classroom research, elementary science; process skills;…

This document contains the abstracts of most of the papers, symposia, and poster sessions presented at the 63rd Annual Conference of the National Association for Research in Science Teaching (NARST). Subject areas addressed include teacher preparation; informal settings; cognitive models; classroom practices; teaching methods; student learning;…

This document contains the abstracts of most of the papers, symposia and poster sessions presented at the 61st Annual Conference of the National Association for Research in Science Teaching (NARST). Subject areas addressed include: teacher preparation, science, technology and society; classroom research; elementary science; process skills;…

This is a record of the proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of the conference is "Mathematics: Essential research, essential practice." The theme draws attention to the importance of developing and maintaining links between research and practice and…