Edward A. Silver

Margaret Schwan Smith

Mary Kay Stein

Helping students develop an understanding of important mathematical ideas is a persistent challenge for teachers. In this book, one of a three-volume set, well-known mathematics educators Margaret Smith, Edward A. Silver, and Mary Kay Stein provide teachers of mathematics the support they need to improve their instruction. They focus on ways to engage upper elementary, middle school, and high school students in thinking, reasoning, and problem solving to build their mathematics understanding and proficiency. The content focus of Volume One is rational numbers and proportionality. Using materials that were developed under the NSF-funded COMET (Cases of Mathematics to Enhance Teaching) program, each volume in the set features cases from urban, middle school classrooms with ethnically, racially, and linguistically diverse student populations. Each case illustrates an instructional episode in the classroom of a teacher who is implementing standards-based instruction, the teachers' perspective, including their thoughts and actions as they interact with students and with key aspects of mathematical content, cognitively challenging mathematics activities that are built around samples of authentic classroom practice., and facilitation chapters to help professional developers "teach" the cases, including specific guidelines for facilitating discussions and suggestions for connecting the ideas presented in the cases to a teacher's own practice. As a complete set, this resource provides a basis on which to build a comprehensive professional development program to improve mathematics instruction and student learning.

Improving Instruction in Rational Numbers and Proportionality

Yeping Li

Shiqi Li

This book surveys and examines different approaches and practices that contribute to the changes in mathematics instruction, including (1) innovative approaches that bring direct changes in classroom instructional practices, (2) curriculum reforms that introduce changes in content and requirements in classroom instruction, and (3) approaches in mathematics teacher education that aim to improve teachers’ expertise and practices. It also surveys relevant theory and methodology development in studying and assessing mathematics instruction. Classroom instruction is commonly seen as one of the key factors contributing to students’ learning of mathematics, but much remains to be understood about teachers’ instructional practices that lead to the development and enactment of effective classroom instruction, and approaches and practices developed and used to transform classroom instruction in different education systems. Transforming Mathematics Instruction is organized to help readers learn not only from reading individual chapters, but also from reading across chapters and sections to explore broader themes, including: - Identifying what is important in mathematics for teaching and learning emphasized in different approaches; - Exploring how students’ learning is considered and facilitated through different approaches and practices; - Understanding the nature of various approaches that are valued in different systems and cultural contexts; - Probing culturally valued approaches in identifying and evaluating effective instructional practices. The book brings new research and insights into multiple approaches and practices for transforming mathematics instruction to the international community of mathematics education, with 25 chapters and four section prefaces contributed by 56 scholars from 10 different education systems. This rich collection is indispensable reading for mathematics educators, researchers, teacher educators, curriculum developers, and graduate students interested in learning about different instructional practices, approaches for instructional transformation, and research in different education systems. It will help readers to reflect on approaches and practices that are useful for instructional changes in their own education systems, and also inspire them to identify and further explore new areas of research and program development in improving mathematics teaching and learning.

Multiple Approaches and Practices

Transforming Mathematics Instruction

Patricia Ann Kenney

The National Assessment of Educational Progress (NAEP) provides data about what children know and can do with the goal of using this information to improve education. This book contains interpretive reports based on results from the mathematics assessments conducted by the NAEP regarding: (1) the cognitive performance of students at grades 4, 8, and 12 on multiple-choice, regular constructed-response, and extended constructed response items; (2) students' responses to a variety of background questions dealing with their beliefs and feelings toward mathematics and their participation in various forms of classroom activity; and (3) teachers' responses to various background questions dealing with the nature of their mathematics instruction. The results are summarized for the different grade levels and subgroups of students by gender and race/ethnicity. Chapters include: (1) "Learning about NAEP: Information Concerning the Sixth Mathematics Assessment" (Patricia Ann Kenney); (2) "NAEP Mathematics-1990-1992: The National, Trial State, and Trend Assessments" (John A. Dossey and Ina V. S. Mullis); (3) "NAEP Findings Regarding Race/Ethnicity and Gender: Affective Issues, Mathematics Performance, and Instructional Context" (Edward A. Silver, Marilyn E. Strutchens, and Judith S. Zawojewski); (4) "NAEP Findings Regarding the Preparation and Classroom Practices of Mathematics Teachers" (Mary Montgomery Lindquist); (5) "What Do Students Know about Numbers and Operations?" (Vicky L. Kouba, Judith S. Zawojewski, and Marilyn E. Strutchens); (6) "What Do Students Know about Measurement?" (Patricia Ann Kenney and Vicky L. Kouba); (7) "What Do Students Know about Geometry?" (Marilyn E. Strutchens and Glendon W. Blume); (8) "What Do Students Know about Data Analysis, Statistics, and Probability?" (Judith S. Zawojewski and David S. Heckman); (9) "What Do Students Know about Algebra and Functions?" (Glendon W. Blume and David S. Heckman); and (10) "Learning from NAEP: Looking Back and Looking Ahead" (Edward A. Silver). (JRH)

Results from the Sixth Mathematics Assessment of the National Assessment of Educational Progress

David F. Pyke

Douglas J. Thomas

Authored by a team of experts, the new edition of this bestseller presents practical techniques for managing inventory and production throughout supply chains. It covers the current context of inventory and production management, replenishment systems for managing individual inventories within a firm, managing inventory in multiple locations and firms, and production management. The book presents sophisticated concepts and solutions with an eye towards today’s economy of global demand, cost-saving, and rapid cycles. It explains how to decrease working capital and how to deal with coordinating chains across boundaries.

Edward A. Silver

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