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Updated: Aug 12, 2025
10:58
Multimedia Battery for Assessment of Cognitive and Basic Skills in Mathematics BM-PROMA
Published on: August 28, 2021
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The relevance of basic numerical skills for fraction processing: Evidence from cross-sectional data
Silke M Wortha1,2,3, Elise Klein4,5, Katharina Lambert1,6
1LEAD Graduate School & Research Network, University of Tuebingen, Tuebingen, Germany.
Plos One
|January 31, 2023
Summary
Strong foundational math skills, including addition and subtraction, significantly predict students
Area of Science:
- Mathematics Education
- Cognitive Psychology
Background:
- Fraction understanding is a key predictor of later mathematical achievement.
- Basic numerical skills are crucial for developing advanced mathematical concepts.
Purpose of the Study:
- To investigate the associations between basic numerical skills and students' fraction processing.
- To identify the determinants of fraction processing in secondary school students.
Main Methods:
- Analysis of data from 939 German secondary school students (ages 11.92–18.00).
- Evaluation of predictors including number line estimation, arithmetic operations, and magnitude comparison.
- Control for general cognitive ability, grade level, and sex.
Main Results:
- Multiplication, subtraction, conceptual knowledge, number line estimation, and basic geometry significantly predicted fraction processing.
- Addition and approximate arithmetic were also identified as relevant predictors through relative weight analysis.
- General cognitive ability and sex also showed significant associations.
Conclusions:
- Basic numerical skills are essential for fraction processing in secondary education.
- Recapitulating foundational numerical concepts may enhance the acquisition of complex mathematical ideas like fractions.
- Further research should explore pedagogical strategies focusing on basic numerical skills.
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