Back to search

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

Data up to Jan 2025

Published1999
Citations53
References62

Total Citations Per Year

Abstract

References (62)

Rules of the Mind

1993 • 1,954 citations

Diagnostic Models for Procedural Bugs in Basic Mathematical Skills*

1978 • 1,131 citations

The development of mathematical thinking

1983 • 965 citations

Origins of cognitive skills

1986 • 876 citations

Conceptual and Procedural Knowledge

2013 • 769 citations

How Children Discover New Strategies

2014 • 725 citations

Cognitive arithmetic: A review of data and theory

1992 • 706 citations

Strategy choice procedures and the development of multiplication skill.

1988 • 475 citations

Addition and Subtraction

2020 • 433 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

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

1995 • 386 citations

Mental multiplication skill: Structure, process, and acquisition.

1985 • 306 citations

Variation, selection, and cognitive change.

1995 • 297 citations

Multiple routes to solution of single-digit multiplication problems.

1996 • 289 citations

The Development of Numerical Understandings

1982 • 288 citations

The Psychology of Arithmetic

2010 • 240 citations

Developing Cognitive Competence

2015 • 237 citations

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

1987 • 236 citations

Cognitive representations and processes in arithmetic: Inferences from the performance of brain-damaged subjects.

1991 • 206 citations

Children’s Knowledge of Simple Arithmetic: A Developmental Model and Simulation

1987 • 198 citations

The relationship between initial meaningful and mechanical knowledge of arithmetic

1986 • 190 citations

The psychology of arithmetic.

1922 • 184 citations

Network interference and mental multiplication.

1987 • 156 citations

Models of arithmetic fact retrieval: An evaluation in light of findings from normal and brain-damaged subjects.

1991 • 119 citations

On the cognitive structure of basic arithmetic skills: Operation, order, and symbol transfer effects.

1994 • 115 citations

The development of procedural knowledge: An alternative explanation for chronometric trends of mental arithmetic

1983 • 113 citations

Acquisition of Mental Multiplication Skill: Evidence for the Transition Between Counting and Retrieval Strategies

1988 • 106 citations

Mathematics Learning in Early Childhood

2009 • 104 citations

Strategy choices in subtraction.

1987 • 94 citations

The development of children's mental multiplication skills

1991 • 92 citations

Children's Relational Knowledge of Addition and Subtraction

1999 • 89 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

The Frequency of Arithmetic Facts in Elementary Texts: Addition and Multiplication in Grades 1–6

1995 • 85 citations

Some tests of an identical elements model of basic arithmetic skills.

1996 • 84 citations

Starting to add worse: Effects of learning to multiply on children's addition

1990 • 74 citations

An evaluation of evidence supporting fact-retrieval models

1994 • 74 citations

The Frequency of Arithmetic Facts in Elementary Texts: Addition and Multiplication in Grades 1-6

1995 • 72 citations

Developmental Trends in Arithmetic

1951 • 68 citations

The development of mathematical cognition

1986 • 61 citations

Handbook on the assessment of learning disabilities : theory, research, and practice

1991 • 58 citations

The teaching of arithmetic

1916 • 56 citations

Some tests of an identical elements model of basic arithmetic skills.

1996 • 54 citations

Formal Methods in Developmental Psychology

1987 • 51 citations

Kindergartners' Mental Addition with Single-Digit Combinations

1989 • 44 citations

The development of kindergartners' mental-addition strategies

1992 • 38 citations

Meaning and Skill—Maintaining the Balance

1956 • 37 citations

Kindergartners' Mental Addition with Single-Digit Combinations

1989 • 37 citations

Fostering children's mathematical power: An investigative approach to K-8 mathematics instruction

1999 • 37 citations

Developing computational skills

1978 • 36 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

Some Strategies for Solving Simple Multiplication Combinations

1970 • 25 citations

Retrieval inhibition and interference in cognitive arithmetic.

1990 • 24 citations

The Psychology of the Simple Arithmetical Processes: A Study of Certain Habits of Attention and Association

1906 • 20 citations

Learning the multiplication combinations

1943 • 19 citations

Some Strategies for Solving Simple Multiplication Combinations

1970 • 16 citations

On the cognitive structure of basic arithmetic skills: Operation, order, and symbol transfer effects.

1994 • 16 citations

AT Classic: Meaning and Skill—Maintaining the Balance

1987 • 14 citations

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

1993 • 9 citations

Cited By (0)

Loading...