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Exploring the Acquisition of Multiplication Facts in Primary Education: A Graph-Based Analysis of Skill Dependencies

Deliev, Ark (2025) Exploring the Acquisition of Multiplication Facts in Primary Education: A Graph-Based Analysis of Skill Dependencies. Bachelor's Thesis, Artificial Intelligence.

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Abstract

This research examines cognitive processes in multiplication fact learning through computational modelling. Analysing data from 540 primary school children (ages 6-10) completing over 300,000 trials, we investigated skill acquisition patterns using TafelTrainer, an adaptive application implementing a three-level progression from calculation to automatisation, alongside GraafTel, a novel algorithm for skill dependency analysis. We identified three distinct skills with differential relationships to performance metrics: one maintaining strong correlations with reaction times consistently (suggesting calculation-based strategies), and two showing decreasing time-correlations with practice (indicating transition to retrieval-based processes). These patterns align with established frameworks proposing discrete transitions between computational, retrieval-based, and automatic processing during learning. Our findings enhance understanding of mathematical cognition while informing development of cognitively-aligned adaptive learning technologies.

Item Type: Thesis (Bachelor's Thesis)
Supervisor name: Haile, T.M.
Degree programme: Artificial Intelligence
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 26 Mar 2025 07:26
Last Modified: 26 Mar 2025 07:26
URI: https://fse.studenttheses.ub.rug.nl/id/eprint/34927

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