Children's Relational Knowledge of Addition and Subtraction

The Child's Conception of Number

1953 • 1,859 citations

Children’s Counting and Concepts of Number

1988 • 1,268 citations

Mathematics in the streets and in schools

1985 • 1,031 citations

Using Knowledge of Children’s Mathematics Thinking in Classroom Teaching: An Experimental Study

1989 • 982 citations

How Children Discover New Strategies

2014 • 725 citations

Development of Children's Problem-Solving Ability in Arithmetic.

1984 • 573 citations

Strategy choice procedures and the development of multiplication skill.

1988 • 475 citations

The Psychology of Mathematics for Instruction

1982 • 445 citations

The Acquisition of Addition and Subtraction Concepts in Grades One through Three

1984 • 414 citations

Selection of procedures in mental addition: Reassessing the problem size effect in adults.

1996 • 401 citations

Four aspects of strategic change: Contributions to children's learning of multiplication.

1995 • 396 citations

Research on whole number addition and subtraction.

1992 • 381 citations

The Role of Implicit Models in Solving Verbal Problems in Multiplication and Division

1985 • 355 citations

Children's arithmetic: The learning process

1977 • 310 citations

Variation, selection, and cognitive change.

1995 • 297 citations

Multiple routes to solution of single-digit multiplication problems.

1996 • 289 citations

The Role of Implicit Models in Solving Verbal Problems in Multiplication and Division

1985 • 287 citations

An Integrated Model of Skill in Solving Elementary Word Problems

1984 • 279 citations

A Developmental Theory of Number Understanding.

1984 • 270 citations

The Psychology of Arithmetic

2010 • 240 citations

Children's Mathematical Thinking: A Developmental Framework for Preschool, Primary, and Special Education Teachers

1987 • 236 citations

The psychology of arithmetic.

1922 • 184 citations

The Development of Children's Mathematical Thinking: Connecting Research with Practice.

1998 • 168 citations

Developing Number Sense: An Intervention Study in Grade 7

1994 • 161 citations

From Protoquantities to Operators: building mathematical competence on a Foundation of Everyday Knowledge

2020 • 150 citations

Alternative Perspectives on Knowing Mathematics in Elementary Schools

1990 • 126 citations

Research on Learning and Teaching Addition and Subtraction of Whole Numbers

2020 • 106 citations

Mathematics Learning in Early Childhood

2009 • 104 citations

Developing Number Sense: An Intervention Study in Grade 7

1994 • 104 citations

Strategy choices in subtraction.

1987 • 94 citations

Children's Use of Mathematical Structure

1983 • 92 citations

Fostering Children's Mathematical Power: An Investigative Approach To K-8 Mathematics Instruction

2012 • 89 citations

Mastery of Basic Number Combinations: Internalization of Relationships or Facts?

1985 • 88 citations

Mastery of Basic Number Combinations: Internalization of Relationships or Facts?

1985 • 86 citations

Instruction on Derived Facts Strategies in Addition and Subtraction

1985 • 80 citations

Children's Use of Mathematical Structure

1983 • 77 citations

Fostering Children's Mathematical Power

1998 • 76 citations

An evaluation of evidence supporting fact-retrieval models

1994 • 74 citations

Do They Know What They Are Doing? Children's Use of Economical Addition Strategies and Knowledge of Commutativity

1996 • 60 citations

The Roles of Estimation and the Commutativity Principle in the Development of Third Graders' Mental Multiplication

1999 • 53 citations

Part-Whole Knowledge and Early Arithmetic Problem Solving

1994 • 53 citations

Chapter 2: Alternative Perspectives on Knowing Mathematics in Elementary Schools

1990 • 45 citations

Kindergartners' Mental Addition with Single-Digit Combinations

1989 • 44 citations

Understanding of Derived-Fact Strategies in Addition and Subtraction

1990 • 39 citations

The development of kindergartners' mental-addition strategies

1992 • 38 citations

Strategy choice procedures and the development of multiplication skill.

1988 • 38 citations

Kindergartners' Mental Addition with Single-Digit Combinations

1989 • 37 citations

Developing number sense in the middle grades

1991 • 34 citations

The Case of Felicia: A Young Child's Strategies for Reducing Memory Demand During Mental Addition

1984 • 33 citations

Mental-addition development of children classified as mentally handicapped

1988 • 29 citations

A guide to teaching mathematics in the primary grades

1989 • 28 citations

Multiple routes to solution of single-digit multiplication problems.

1996 • 26 citations

Some Strategies for Solving Simple Multiplication Combinations

1970 • 25 citations

The learning of the 100 addition combinations and the 100 subtraction combinations

1928 • 21 citations

Some Strategies for Solving Simple Multiplication Combinations

1970 • 16 citations

Action Research: Strategies for Learning Subtraction Facts

1988 • 14 citations

Toward a Theory of Construction

1985 • 13 citations

Early mental multiplication performance and the role of relational knowledge in mastering combinations involving “two”

1993 • 9 citations

Arithmetical Combinations

1921 • 7 citations

Critique: Pitfalls in Equating Informal Arithmetic Procedures with Specific Mathematical Conceptions

1985 • 7 citations

Number Sense and the Importance of Asking “Why?”

1989 • 4 citations

Review: Toward a Theory of Construction

1985 • 2 citations