Fluency is not “doing maths quickly” in general. It is efficient access to knowledge and procedures that a child already understands.
Fluency reduces reconstruction
When basic facts are not readily available, a child may have to reconstruct them while also trying to solve the larger problem.[1][4]
Fluency can be practised
Meta-analyses of mathematics fact-fluency interventions find that targeted interventions can improve fluency, though the best components depend on the learner and skill.[2][3]
Fluency sits beside reasoning
England’s mathematics curriculum explicitly pairs fluency with mathematical reasoning and problem solving. Toku strengthens this fluency layer so children can bring more secure foundations into the rest of their maths learning.[5]
関連するTokuの科学ページ
参考文献
- David C. Geary et al. (2011). Fact retrieval deficits in low achieving children and children with mathematical learning disability. Journal of Learning Disabilities.
- Robin S. Codding, Matthew K. Burns & Gracia Lukito (2011). Meta-analysis of mathematic basic-fact fluency interventions: a component analysis. Learning Disabilities Research & Practice.
- Gabrielle P. Douglas et al. (2026). A meta-analysis of mathematics fact fluency interventions for students in kindergarten through grade 6. Journal of Learning Disabilities.
- Mark H. Ashcraft & Jeremy A. Krause (2007). Working memory, math performance, and math anxiety. Psychonomic Bulletin & Review.
- Department for Education (2021). Mathematics programmes of study: key stages 1 and 2. National curriculum in England.