Understanding Mathematics and Science Matters

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The research reported in this book provides reliable evidence on and knowledge about mathematics and science instruction that emphasizes student understanding--instruction consistent with the needs of students who will be citizens in an increasingly demanding technological world.

The National Center for Improving Student Learning in Mathematics and Science--established in 1996 as a research center and funded by the U.S. Department of Education--was instrumental in developing instructional practices supportive of high student achievement in and understanding of mathematics and science concepts. NCISLA researchers worked with teachers, students, and administrators to construct learning environments that exemplify current research and theory about effective learning of mathematics and science. The careful programs of research conducted examined how instructional content and design, assessment, professional development, and organizational support can be designed, implemented, and orchestrated to support the learning of all students. This book presents a summary of the concepts, findings, and conclusions of the Center's research from 1996-2001.

In the Introduction, the chapters in Understanding Mathematics and Science Matters are situated in terms of the reform movement in school mathematics and school science. Three thematically structured sections focus on, respectively, research directed toward what is involved when students learn mathematics and science with understanding; research on the role of teachers and the problems they face when attempting to teach their students mathematics and science with understanding; and a collaboration among some of the contributors to this volume to gather information about classroom assessment practices and organizational support for reform.

The goal of this book is to help educational practitioners, policymakers, and the general public to see the validity of the reform recommendations, understand the recommended guidelines, and to use these to transform teaching and learning of mathematics and science in U.S. classrooms.

Author(s): Thomas A. Romberg, Thomas P. Carpenter, Fae Dremock
Series: Studies in Mathematical Thinking and Learning
Edition: illustrated edition
Publisher: Routledge
Year: 2005

Language: English
Pages: 349

Cover......Page 1
Contents......Page 6
Preface......Page 10
PART I: INTRODUCTION......Page 14
1 Standards-Based Reform and Teaching for Understanding......Page 16
PART II: LEARNING WITH UNDERSTANDING......Page 40
2 Developing Modeling and Argument in the Elementary Grades......Page 42
3 The Generative Potential of Students' Everyday Knowledge in Learning Science......Page 68
4 Developing Algebraic Reasoning in the Elementary School......Page 93
5 A Teacher-Centered Approach to Algebrafying Elementary Mathematics......Page 112
6 Statistical Data Analysis: A Tool for Learning......Page 140
7 Modeling for Understanding in Science Education......Page 171
8 Learning Mathematics in High School: Symbolic Places and Family Resemblances......Page 198
PART III: TEACHING FOR UNDERSTANDING......Page 220
9 Changing Teachers' Professional Work in Mathematics: One School's Journey......Page 222
10 Teacher Collaboration: Focusing on Problems of Practice......Page 244
11 Managing Uncertainty and Creating Technical Knowledge......Page 266
PART IV: CROSS-CUTTING STUDIES......Page 290
12 Research in Assessment Practices......Page 292
13 Capacity for Change: Organizational Support for Teaching for Understanding......Page 320
Postscript......Page 336
Author Index......Page 340
Subject Index......Page 346