Why mix different kinds of maths questions after a skill has been learned?
Blocked practice makes the required method obvious because every nearby question is the same type. Mixed practice can force the learner to notice the structure of the problem and select a strategy.[1]
Toku 如何运用这一原理
As Toku grows beyond initial skill practice, mixed review can bring previously learned families back together so your child must recognise what each question is asking for.
研究发现
Mathematics experiments have found benefits when practice problems are spaced or shuffled rather than kept in a conventional blocked order.[1]
A classroom study with seventh-grade mathematics found better delayed performance after interleaved practice than blocked practice.[2]
为什么这对您的孩子有帮助
Your child can practise choosing the method as well as carrying it out, which is closer to the demand of a mixed paper or unfamiliar problem set.
First learn the tool. Later, practise recognising when that tool is the right one.
这也能回答
- what is interleaving in maths
- mixed maths practice
- blocked vs interleaved practice
- why mix question types
参考文献
- Doug Rohrer & Kelli Taylor (2007). The shuffling of mathematics problems improves learning. Instructional Science.
- Doug Rohrer, Robert F. Dedrick & Sandra Stershic (2015). Interleaved practice improves mathematics learning. Journal of Educational Psychology.