Improving Instruction in Rational Numbers and Proportionality

Improving Instruction in Rational Numbers and Proportionality PDF Author: Margaret Schwan Smith
Publisher: Teachers College Press
ISBN: 9780807745298
Category : Education
Languages : en
Pages : 168

Book Description
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 Geometry and Measurement

Improving Instruction in Geometry and Measurement PDF Author: Margaret Schwan Smith
Publisher: Teachers College Press
ISBN: 9780807745311
Category : Education
Languages : en
Pages : 166

Book Description
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.

The Handbook of Mathematics Teacher Education: Volume 2

The Handbook of Mathematics Teacher Education: Volume 2 PDF Author:
Publisher: BRILL
ISBN: 9087905467
Category : Education
Languages : en
Pages : 364

Book Description
The Handbook of Mathematics Teacher Education, the first of its kind, addresses the learning of mathematics teachers at all levels of schooling to teach mathematics, and the provision of activity and programmes in which this learning can take place. It consists of four volumes. Volume 2, Tools and Processes in Mathematics Teacher Education, focuses on the “how” of mathematics teacher education.

Implementing Standards-Based Math Instruction

Implementing Standards-Based Math Instruction PDF Author: Mary Kay Stein
Publisher: Teachers College Press
ISBN: 0807775207
Category : Education
Languages : en
Pages : 298

Book Description
Teachers and teacher educators interested in synthesizing their current practice with new mathematics standards will welcome this highly useful volume. Author Mary Kay Stein and her colleagues at the QUASAR Project at the University of Pittsburgh present prevalent cases of mathematics instruction drawn from their research of nearly 500 classroom lessons. The Mathematical Tasks Framework, developed by the authors and explained thoroughly in the book, offers teachers and teacher educators the means to evaluate instructional decisions, the choice of materials, and learning outcomes, and the case studies afford readers the opportunity to ground these ideas in actual classroom practice. Readers will gain insight about how to foster a challenging, cognitively rich, and exciting classroom climate that propels students toward a richer understanding of mathematics. “If every teacher and teacher educator took the opportunity to study and discuss these cases, students everywhere would know and value mathematics as the national standards have envisioned.” —Susan Loucks-Horsley, Director of Professional Development for the National Institute for Science Education “The power of case discussions can be fully realized using this book as a tool. Equally important, teachers will be highly motivated because they see their own practice mirrored in the cases.” —Carne Barnett, WestEd, San Francisco, CA

Expertise in Mathematics Instruction

Expertise in Mathematics Instruction PDF Author: Yeping Li
Publisher: Springer Science & Business Media
ISBN: 1441977074
Category : Education
Languages : en
Pages : 374

Book Description
Accumulated research findings in past decades have led to the common knowledge that teachers’ professional knowledge is essential to effective classroom instruction. However, there is still very limited understanding about the nature of teachers’ expertise in mathematics instruction. Expertise in Mathematics Instruction addresses this need clearly and concisely. In particular, it examines all aspects of emphases employed to characterize the nature of expertise in mathematics instruction from both researchers’ and practitioners’ perspectives. Moreover, with research contributions from both the East and the West, this book also examines ideas pertinent to fostering and demonstrating expertise in mathematics instruction within different system contexts. This book will raise questions and issues for mathematics education researchers to guide a critical examination of what can be learned from other education systems. Expertise in Mathematics Instruction builds on its theoretical and methodological approach with contributions from international experts in the field. Additionally, a review of related research from mathematics education serves as an introduction to the new research in both Eastern and Western settings. Concluding this resource is a reflection on the benefits of this international collaboration and possible research directions for the future. The final chapter cohesively joins traditional and current research for action. Expertise in Mathematics Instruction is of interest to researchers in mathematics education, mathematics teacher educators, and mathematics educators.

Cases in Mathematics Teacher Education

Cases in Mathematics Teacher Education PDF Author: Margaret S. Smith
Publisher: IAP
ISBN: 1623969484
Category : Mathematics
Languages : en
Pages : 156

Book Description
(Orginally published in 2008) The goal of AMTE Monograph 4, "Cases in Mathematics Teacher Education: Tools for Developing Knowledge Needed for Teaching", is to provide detailed accounts of case use that will inform the mathematics teacher education community on the range of ways in which cases can be used to foster teacher learning and the capacity to reflect on and learn from teaching. The chapters in this monograph describe the use of cases with preservice and practicing teachers at all levels K - 12, in content and methods courses as well as professional development settings, and focus on developing various aspects of teachers' knowledge base (i.e., content, pedagogy, and students as learners). Hence, Monograph 4 should prove to be a superb resource for mathematics teacher educators.

Designing Everyday Assessment in the Science Classroom

Designing Everyday Assessment in the Science Classroom PDF Author:
Publisher: Teachers College Press
ISBN: 9780807746332
Category : Education
Languages : en
Pages : 116

Book Description
This book describes how middle school science teachers, in collaboration with a team of researchers, tried to improve their everyday assessment practices to enhance student learning. It discusses the challenges they faced, the differences among the teachers, and the personal nature of deep educational change. A product of CAPITAL (Classroom Assessment Project to Improve Teaching and Learning), a research effort supported by the National Science Foundation, this book: Uses classroom stories to show how teachers can use a variety of formative assessment techniques to answer questions they have about their teaching.; Provides real-life examples of teachers grappling with new practices at a personal level, in their own settings and in light of their own values and beliefs; Offers suggestions for designing professional development efforts that recognize the significant variation among teachers in how they go about changing their assessment practices ; Outlines principles and practices that must accompany change in the classroom if it is to be more than superficial.

Science Education for Everyday Life

Science Education for Everyday Life PDF Author: Glen S. Aikenhead
Publisher: Teachers College Press
ISBN: 9780807746349
Category : Education
Languages : en
Pages : 194

Book Description
This book provides a comprehensive overview of humanistic approaches to science. Approaches that connect students to broader human concerns in their everyday life and culture. Glen Aikenhead, an expert in the field of culturally sensitive science education, summarizes major worldwide historical findings; focuses on present thinking; and offers evidence in support of classroom practice. This highly accessible text covers curriculum policy, teaching materials, teacher orientations, teacher education, student learning, culture studies, and future research.

Handbook of Research on Online Pedagogical Models for Mathematics Teacher Education

Handbook of Research on Online Pedagogical Models for Mathematics Teacher Education PDF Author: Wachira, Patrick
Publisher: IGI Global
ISBN: 1799814777
Category : Education
Languages : en
Pages : 325

Book Description
Online learning has become an important vehicle for teacher and student learning. When well designed, online environments can be very powerful in a way that is consistent with the goals of inquiry, experimentation, investigation, reasoning, and problem solving so learners can develop a deep understanding of a subject. Some subjects, however, are not well suited for this type of learning due to the need for small group collaborating and hands-on problem solving. The Handbook of Research on Online Pedagogical Models for Mathematics Teacher Education provides innovative insights into technology applications and tools used in teaching mathematics online and provides examples of online learning environments and platforms that are suitable for meeting math education goals of inquiry, investigation, reasoning, and problem solving. The content within this publication examines access to education, professional development, and web-based learning. It is designed for teachers, curriculum developers, instructional designers, educational software developers, IT consultants, higher education faculty, policymakers, administrators, researchers, academicians, and students.

Teaching and Learning Proof Across the Grades

Teaching and Learning Proof Across the Grades PDF Author: Despina A. Stylianou
Publisher: Routledge
ISBN: 1135856753
Category : Education
Languages : en
Pages : 408

Book Description
A Co-Publication of Routledge for the National Council of Teachers of Mathematics (NCTM) In recent years there has been increased interest in the nature and role of proof in mathematics education; with many mathematics educators advocating that proof should be a central part of the mathematics education of students at all grade levels. This important new collection provides that much-needed forum for mathematics educators to articulate a connected K-16 "story" of proof. Such a story includes understanding how the forms of proof, including the nature of argumentation and justification as well as what counts as proof, evolve chronologically and cognitively and how curricula and instruction can support the development of students’ understanding of proof. Collectively these essays inform educators and researchers at different grade levels about the teaching and learning of proof at each level and, thus, help advance the design of further empirical and theoretical work in this area. By building and extending on existing research and by allowing a variety of voices from the field to be heard, Teaching and Learning Proof Across the Grades not only highlights the main ideas that have recently emerged on proof research, but also defines an agenda for future study.