Edward A. Silver – författare

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 Two is algebra.

Now in its second edition, this essential textbook and professional development resource offers a new foreword by James Hiebert and two important new chapters that focus on the ways in which the book can be used to support the learning of teachers and administrators, drawing on the authors' work over the past decade. Chapter 11 illustrates the various ways in which teacher educators or professional developers might use the materials in the book to aid in the professional growth of teachers, including how to directly improve teachers' instruction practices. Chapter 12 discusses ways in which principals and school leaders can use the book to become better instructional leaders of teachers who are attempting to teach with cognitively demanding tasks.

A provocative collection of papers containing comprehensive reviews of previous research, teaching techniques, and pointers for direction of future study. Provides both a comprehensive assessment of the latest research on mathematical problem solving, with special emphasis on its teaching, and an attempt to increase communication across the active disciplines in this area.

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.

Originally published in 1988, this volume is the product of one of four NCTM Research Agenda Project conferences held during 1987. The topics of teaching and evaluating problem solving are high interest topics for teachers, teacher educators, curriculum developers, and administrators. Since 1980, many educators as a result of in-service programs, changes in curriculum guidelines, and changes in textbooks, had come to accept the important role problem solving can play in the curriculum and were interested in ways of improving their instructional programs. Research related to problem solving over the previous ten years had focused almost exclusively on analyses and characterizations of problem-solving competence and performance. Very little research had been conducted on issues more closely concerned with teaching and assessing problem solving.The major purposes of this monograph were to bring to the attention of researchers the need for coordinated and collaborative research efforts related to teaching and assessing problem solving and to hopefully influence the beliefs, methodologies, and perspectives that would be used in conceptualizing this research.The papers here served as a start in building a research agenda for the teaching and assessment of mathematical problem solving. The hope was that the ideas presented here would lead to abundant research activities with results that ultimately influenced practice in the schools. Today it can be read in its historical context.

A provocative collection of papers containing comprehensive reviews of previous research, teaching techniques, and pointers for direction of future study. Provides both a comprehensive assessment of the latest research on mathematical problem solving, with special emphasis on its teaching, and an attempt to increase communication across the active disciplines in this area.

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.

Formative assessment is a powerful pedagogical tool whose purpose is to inform learning as it takes place, with the goal of moving learning forward on the basis of matching instruction to the edge of a student’s current understanding. A Fresh Look at Formative Assessment in Mathematics Teaching takes this frequently overlooked and often misunderstood methodology from a generic set of techniques to a potent, efficient, and effective course of action by explicating its role in effective mathematics teaching and learning, describing what it looks like in practice, and demonstrating how teachers can be supported in developing the knowledge and skills needed for its successful implementation.The book is specifically intended for educators who wish to improve mathematics teaching and learning. In particular, it is designed to provide mathematics teacher educators and professional development specialists with examples of where and how formative assessment can be integrated into a variety of professional learning efforts to support its effective use as a critical component of daily instructional decision-making. The chapters within A Fresh Look at Formative Assessment in Mathematics Teaching illustrate how formative assessment is deeply connected to many other instructional frameworks, tools, and approaches with which mathematics teachers and teacher educators are familiar, such as cognitively guided instructions (CGI) and the mathematical tasks framework, among others.

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, teachereducators, 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.