Why practise performance as well as understanding?
Because knowing something in a calm, familiar setting is different from recognising and applying it quickly when the wording, time limit or problem structure changes.[1]
How Toku uses this
Toku can move from focused skill work to mixed, timed and unfamiliar challenges that require children to decide what matters and what to do next.
What research shows
Mixed practice can improve later performance by requiring learners to identify the appropriate method rather than follow blocked cues.[1]
Reasoning and executive-control abilities contribute to performance on academic problem-solving tasks.[2][3]
Timed conditions can change performance differently across learners, which is why Toku treats timing as one training dimension rather than the definition of ability.[4]
Why this can matter for your child
Your child gets repeated experience retrieving knowledge and choosing a strategy when the answer is not signposted for them.
The point is not to make every practice session feel like an exam. It is to make unfamiliarity, choice and controlled pressure less unfamiliar when they eventually matter.
Questions this helps answer
- how to solve unfamiliar problems under pressure
- exam problem solving skills
- olympiad thinking skills
- hackathon problem solving skills
- university entrance reasoning skills
References
- Doug Rohrer, Robert F. Dedrick & Sandra Stershic (2015). Interleaved practice improves mathematics learning. Journal of Educational Psychology.
- Annie Brookman-Byrne et al. (2019). The unique contributions of verbal analogical reasoning and nonverbal matrix reasoning to science and maths problem-solving in adolescence. Mind, Brain, and Education.
- Paul L. Morgan et al. (2019). Kindergarten children's executive functions predict their second-grade academic achievement and behavior. Child Development.
- Joanne M. Tsui & Michele M. M. Mazzocco (2007). Effects of math anxiety and perfectionism on timed versus untimed math testing in mathematically gifted sixth graders. Roeper Review.