Understanding Mathematics and Science Matters

Thomas A. Romberg, Thomas P. Carpenter, Fae Dremock9780805846942, 9780805846959, 9781410612618, 0805846948, 0805846956

In these 13 reports of their research, contributors describe forms of mathematics and science education that students can understand and discuss guidelines for mathematics and science education. The reports begin with description of standards-based reform and the need for “teaching with understanding,” then proceed to discussion of developing modeling, argument, and algebraic reasoning in elementary grades, applying everyday knowledge in science teaching, changing teachers’ professional work in mathematics, developing teacher collaboration, creating technical knowledge, and interdisciplinary approaches to assessment practices and change management”

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Table of contents :
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