This important new book synthesizes relevant research on the learning of mathematics from birth into the primary grades from the full range of these complementary perspectives. At the core of early math experts Julie Sarama and Douglas Clements's theoretical and empirical frameworks are learning trajectories—detailed descriptions of children’s thinking as they learn to achieve specific goals in a mathematical domain, alongside a related set of instructional tasks designed to engender those mental processes and move children through a developmental progression of levels of thinking. Rooted in basic issues of thinking, learning, and teaching, this groundbreaking body of research illuminates foundational topics on the learning of mathematics with practical and theoretical implications for all ages. Those implications are especially important in addressing equity concerns, as understanding the level of thinking of the class and the individuals within it, is key in serving the needs of all children.
Author(s): Julie A. Sarama, Douglas H. Clements
Series: Studies in Mathematical Thinking and Learning
Year: 2009
Language: English
Pages: 410
Cover......Page 1
Early childhood mathematics education research : learning trajectories for young children......Page 5
Contents......Page 7
Preface......Page 9
Appreciation to the Funding Agencies......Page 13
Part I: Introduction......Page 15
1 Early Childhood Mathematics Learning......Page 17
Part II: Number and Quantitative Thinking......Page 41
2 Quantity, Number, and Subitizing......Page 43
3 Verbal and Object Counting......Page 67
4 Comparing, Ordering, and Estimating......Page 95
5 Arithmetic: Early Addition and Subtraction and Counting
Strategies......Page 115
6 Arithmetic: Composition of Number, Place Value, and Multidigit Addition and Subtraction......Page 143
Part III: Geometry and Spatial Thinking......Page 173
7 Spatial Thinking......Page 175
8 Shape......Page 213
9 Composition and Decomposition of Shapes......Page 261
Part IV: Geometric Measurement......Page 285
10 Geometric Measurement, Part 1 - Length......Page 287
11 Geometric Measurement, Part 2 - Area, Volume, and Angle......Page 307
Part V: Other Content Domains and Processes......Page 331
12 Other Content Domains......Page 333
13 Mathematical Processes......Page 349
14 Professional Development and Scaling Up......Page 361
Notes......Page 381
References......Page 385
Index......Page 411
