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Updated: Oct 10, 2025

Multimedia Battery for Assessment of Cognitive and Basic Skills in Mathematics BM-PROMA
Published on: August 28, 2021
Numerical cognition needs more and better distinctions, not fewer
Hilary Barth1, Anna Shusterman1
1Department of Psychology, Wesleyan University, Middletown, CT06459, USA. hbarth@wesleyan.edu ashusterman@wesleyan.edu http://hbarth.faculty.wesleyan.edu http://ashusterman.faculty.wesleyan.edu.
The approximate number system (ANS) represents numbers, aligning with arguments on confounds and imprecision. This discussion clarifies numerical cognition theories and the language used to describe them.
Area of Science:
- Cognitive Science
- Psychology
- Neuroscience
Background:
- The approximate number system (ANS) is a core mechanism for numerical cognition.
- Debates persist regarding the nature and representation of numbers within the ANS.
- Existing theories face challenges related to confounds, congruency, and precision in numerical tasks.
Purpose of the Study:
- To affirm the representational capacity of the approximate number system (ANS).
- To address and clarify conceptual issues in numerical cognition research.
- To refine the language used in theories of number representation.
Main Methods:
- Conceptual analysis of existing literature on numerical cognition.
- Critical evaluation of arguments concerning confounds, congruency, and imprecision in ANS research.
- Discourse on the semantic underpinnings of theories in numerical cognition.
Main Results:
- Agreement with the conclusion that the approximate number system (ANS) accurately represents numbers.
- Endorsement of specific arguments regarding confounds, congruency, and imprecision.
- Identification of complexities in the meaning and language of numerical cognition theories.
Conclusions:
- The approximate number system (ANS) is a valid numerical representation system.
- Further conceptual clarification is needed to advance theories of numerical cognition.
- Precise language is crucial for effective communication in the field of numerical cognition.
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