A maths problem can be difficult because the mathematical idea is difficult, but it can also be difficult because too many basic steps still require conscious effort at the same time.
Working memory is limited
Cognitive load theory focuses on the fact that new information and problem-solving steps have to be processed within limited working-memory capacity.[1]
Maths can stack demands quickly
Once a problem involves more than simple fact retrieval, working memory becomes important for holding and manipulating intermediate information.[2]
Why foundations help
Knowledge that can be retrieved efficiently does not need to be reconstructed from scratch each time, which can reduce one source of avoidable mental demand.[1]
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参考文献
- John Sweller (1988). Cognitive load during problem solving: effects on learning. Cognitive Science.
- Mark H. Ashcraft & Jeremy A. Krause (2007). Working memory, math performance, and math anxiety. Psychonomic Bulletin & Review.