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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