Counting Principles

Counting Principles is a foundational domain within discrete mathematics education that encompasses the systematic study of rules and techniques for determining the number of elements in finite sets, distinguished by its focus on combinatorial reasoning and the application of axiomatic methods to enumerate outcomes in structured mathematical contexts.

366

Publications

21.4K

Citations

799

Authors

384

Institutions

Publications per year

2017–2026

Parents

Discrete MathematicsDiscrete Mathematics EducationEarly Numeracy

Children

Abstraction PrincipleCardinality PrincipleCorrespondence CountingCounting AssessmentCounting ErrorsCounting Principles InstructionCounting-on StrategiesEarly Counting DevelopmentHierarchical InclusionNumber Conservation

Publications

366

Children's understanding of counting

Karen Wynn · Cognition · 1990 · 1.2K citations

Education, Mathematics, Mathematics Education +10

Children's acquisition of the number words and the counting system

Karen Wynn · Cognitive Psychology · 1992 · 1.1K citations

Education, Early Childhood Education, Educational Psychology +14

One, two, three, four, nothing more: An investigation of the conceptual sources of the verbal counting principles

Mathieu Le Corre, Susan Carey · Cognition · 2007 · 746 citations

Education, Linguistics, Psychology +14

The Foundations of Arithmetic. A Logico-Mathematical Enquiry into the Concept of Number.

E. N., Gottlob Frege, J. L. Austin · The Journal of Philosophy · 1951 · 630 citations

Humanities, Mathematics, Philosophy +16

How counting represents number: What children must learn and when they learn it

Barbara W. Sarnecka, Susan Carey · Cognition · 2008 · 543 citations · Full text

Education, Educational Psychology, Mathematics Education +10

1–5 of 366

Authors

799

AJ
Arthur J. Baroody
University of Illinois Urbana-Champaign, United States
10 publications · 699 citations
10
h-index
GB
Geoffrey B. Saxe
University of California, Berkeley, United States
6 publications · 261 citations
6
h-index
KC
Karen C. Fuson
Northwestern University, United States
4 publications · 113 citations
4
h-index
SC
Susan Carey
Harvard University, United States
4 publications · 1.6K citations
4
h-index
DB
David Barner
University of California San Diego, United States
3 publications · 90 citations
3
h-index

1–5 of 799

Institutions

384

1–8 of 384

Venues

Journal for Research in Mathematics Education
JRME · 15 publications · 810 citations
15
h-index
Child Development
11 publications · 514 citations
11
h-index
Nuclear Instruments and Methods
10 publications · 449 citations
10
h-index
Theoretical Computer Science
9 publications · 277 citations
9
h-index
Information Processing Letters
8 publications · 143 citations
8
h-index

1–5