• Publications
• Influence
The Child's Understanding of Number
• Psychology
• 1 November 1979
1. Focus on the Preschooler 2. Training Studies Reconsidered 3. More Capacity Than Meets the Eye: Direct Evidence 4. Number Concepts in the Preschooler? 5. What Numerosities Can the Young ChildExpand
Children's Counting and Concepts of Number
I Number Words.- 1 Introduction and Overview of Different Uses of Number Words.- 2 The Number-Word Sequence: An Overview of Its Acquisition and Elaboration.- II Correspondence Errors in CountingExpand
Research on whole number addition and subtraction.
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Problem Solving as a Basis for Reform in Curriculum and Instruction: The Case of Mathematics
We argue that reform in curriculum and instruction should be based on allowing students to problematize the subject. Rather than mastering skills and applying them, students should be engaged inExpand
Children's Conceptual Structures for Multidigit Numbers and Methods of Multidigit Addition and Subtraction.
Researchers from 4 projects with a problem-solving approach to teaching and learning multidigit number concepts and operations describe (a) a common framework of conceptual structures childrenExpand
Describing Levels and Components of a Math-Talk Learning Community.
• Psychology
• 1 March 2004
The transformation to reform mathematics teaching is a daunting task. It is often unclear to teachers what such a classroom would really look like, let alone how to get there. This article addressesExpand
USING A BASE-TEN BLOCKS LEARNING/ TEACHING APPROACH FOR FIRST- AND SECOND-GRADE PLACE-VALUE AND MULTIDIGIT ADDITION AND SUBTRACTION
• Mathematics
• 1 May 1990
A learning/teaching approach used base-ten blocks to embody the English named-value system of number words and digit cards to embody the positional base-ten system of numeration. Steps in additionExpand
Advancing children's mathematical thinking in everyday mathematics classrooms
• Psychology
• 1 March 1999
In this article we present and describe a pedagogical framework that supports children's development of conceptual understanding of mathematics. The framework for Advancing Children's Thinking (ACT)Expand
Conceptual Structures for Multiunit Numbers: Implications for Learning and Teaching Multidigit Addition, Subtraction, and Place Value
Multiunit numbers are whole numbers composed of one or more kinds of multiunits (collections of single units) and possibly some single units. Multiunit numbers are expressible by number words and byExpand
Multiplication Strategies and the Appropriation of Computational Resources
• Psychology
• 1 July 2005
This article proposes a taxonomy of strategies for single-digit multiplication, then uses it to elucidate the nature of the learning tasks involved in multiplication. In preceding work, it hasExpand