Skemp on two approaches to teaching and learning mathematics
***English bellows***
French :
Three highlights of Skemp’s article include his discussion of “false friends” in mathematics, where words like “understand” can have two completely different meanings; his distinction between relational and instrumental understanding; and his musical analogy, which shows how teaching meaningless rules limits learners’ creativity and adaptability. These ideas made me “stop” because they highlight common misunderstandings in teaching, and show how deep understanding is essential for long-term mastery.
As for my position, I am in favor of relational understanding because it promotes greater autonomy and flexibility of thought. Although instrumental understanding offers immediate results, it creates a dependence on rules without critical reflection. In a constantly changing world, the ability to understand the "why" behind concepts seems to me more beneficial in the long term.
English:
Three highlights of Skemp's article include his discussion of “false friends” in mathematics, where words like “understand” can have two completely different meanings; his distinction between relational and instrumental understanding; and his musical analogy, which shows how teaching meaningless rules limits learners' creativity and adaptability. These ideas made me “stop” because they highlight common misunderstandings in teaching, and show how deep understanding is essential for long-term mastery.
As for my position, I favor relational understanding because it fosters greater autonomy and flexibility of thought. While instrumental understanding offers immediate results, it creates a dependency on rules without critical reflection. In a world that is constantly changing, the ability to understand the “why” behind concepts seems to me to be more beneficial in the long run.
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