The Roles of Estimation and the Commutativity Principle in the Development of Third Graders' Mental Multiplication
Data up to Jan 2025
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