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By tracking a group of young students over the course of a year, the authors show “that children learn to associate individual problems with the correct answers. Repeated problem solving during the early stages of arithmetic skill development also contributes to memory re-encoding and consolidation, thus resulting in enhanced hippocampal activity and ability to recall basic arithmetic facts… The maturation of problem-solving skills is characterized by a gradual decrease in the use of inefficient procedures such as counting and an increase in the use of memory-based strategies.”

As a scientific justification of rote learning, the study seems likely to further polarize the controversy over math teaching styles, in which arithmetical fundamentalists are squared off against the popular and progressive forces of “discovery-based” learning, in which students are encouraged to find their own ways to the right answer.

By illustrating the benefit of repetition and memory, and showing how it serves as a stepping stone to mature calculation, the research is likely to embolden the fundamentalists, who have only recently started to win back lost ground.

The tried and true methods of addition, subtraction, multiplication and division work just fine as they have for centuries

When school returns next month in Alberta, for example, the requirement for students to memorize the multiplication tables will be reinstated, following an awkward climb down by the province’s education ministry in March.

One critic of the government’s adoption of “discovery-based learning,” Ken Porteous, a retired engineering professor, put it bluntly: “There is nothing to discover. The tried and true methods of addition, subtraction, multiplication and division work just fine as they have for centuries. There is no benefit and in fact a huge downside to students being asked to discover other methods of performing these operations and picking the one which they like. This just leads to confusion which ultimately translates into frustration, a strong dislike for mathematics and a desire to drop out of any form of mathematics course at the earliest opportunity.”