A model of students’ combinatorial thinking

Title	Journal	Journal Categories	Citations	Publication Date
Informing Practice: Counting Using Sets of Outcomes	Mathematics Teaching in the Middle School		3	2012
Student connections among counting problems: an exploration using actor-oriented transfer	Educational Studies in Mathematics	Education: Theory and practice of education Education Social Sciences	28	2011
Students' Verification Strategies for Combinatorial Problems	Mathematical Thinking and Learning	Education: Theory and practice of education Education Social Sciences	44	2004
How far can you go with block towers?				1997
Combinatorial analysis and school mathematics				1970

Title	Journal	Journal Categories	Citations	Publication Date
Combinatorial and quantitative reasoning: Stage 3 high school students’ reason about combinatorics problems and their representation as 3-D arrays	The Journal of Mathematical Behavior	Education: Theory and practice of education		2024
Units Coordination, Combinatorial Reasoning, and the Multiplication Principle: The Case of Ashley, an Advanced Stage 2 College Student	Investigations in Mathematics Learning			2024
Investigating two teachers’ development of combinatorial meaning for algebraic structure	The Journal of Mathematical Behavior	Education: Theory and practice of education	1	2023
Third-grade students’ strategies for presenting permutations of three or four objects	International Journal of Mathematical Education in Science and Technology	Education: Theory and practice of education		2023
Aspects of predication and their influence on reasoning about logic in discrete mathematics	ZDM – Mathematics Education	Education: Theory and practice of education Education Social Sciences	2	2022

Category	Category Repetition
Education: Theory and practice of education	26
Education	6
Social Sciences	6
Philosophy. Psychology. Religion: Psychology	3
Medicine: Internal medicine: Neurosciences. Biological psychiatry. Neuropsychiatry: Neurology. Diseases of the nervous system: Psychiatry	3
Science: Mathematics	2
Science: Chemistry	1
Education: Education (General)	1

The category Education: Theory and practice of education 26 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Call for Chapters: <em>Annual Perspectives in Mathematics Education</em> (<em>APME</em>) 2016 and was published in 2014. The most recent citation comes from a 2024 study titled Units Coordination, Combinatorial Reasoning, and the Multiplication Principle: The Case of Ashley, an Advanced Stage 2 College Student. This article reached its peak citation in 2019, with 9 citations. It has been cited in 17 different journals, 11% of which are open access. Among related journals, the The Journal of Mathematical Behavior cited this research the most, with 10 citations. The chart below illustrates the annual citation trends for this article.

Abstract