重复在数学学习中的作用

A. Yessenbolkyzy, Ardak Yessirkepova
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摘要

数学是学校教育中最重要的方面之一。学校数学是一个有意义的、迷人的、容易接近的活动领域,它给学生丰富的精神食粮,把他与普遍的人类文化联系起来,形成最重要的人格特质。在数学学习中,熟能生巧。在数学教学过程中,学习材料的重复被赋予了重要的地位。适当组织的重复是促进每个学生智力发展的因素之一,有助于他们获得深刻而持久的知识。重复以前学习过的材料的需要是由数学课程的结构本身造成的。例如,学生在八年级学习课程主题:“四合院”,但在10-11年级学习时使用它。“公转物体的表面”、“表面积”、“物体的体积”等。要教数学,而不是每天重复以前每节课上的材料,这意味着向学生传递、复述一定数量的不同的定律、定理、公式等,完全不关心我们的宠物如何牢固地、有意识地掌握这些材料;它意味着不给孩子深刻而持久的知识。研究表明,重复是学习的主要手段。分析结果表明,采用变化重复方法的学生在学习成绩、概念理解和记忆方面均有显著提高。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The role of repetition in learning math
Mathematics is one of the most important aspects of school education. School mathematics is a meaningful, fascinating and accessible field of activity, giving the student rich food for the mind, connecting him with universal human culture, forming the most important personality traits.In learning mathematics, practice makes perfect. In the process of teaching math, the repetition of the studied material is given an important place. Properly organized repetition is one of the factors contributing to the intellectual development of each student, their achievement of deep and lasting knowledge. The need to repeat the previously studied material is caused by the very structure of the curriculum of mathematics. For example, students go through the curriculum topic: “Quadrangles” in 8th grade, but use it in grades 10-11 when studying the topics: “Surface of bodies of revolution”, “Surface area”, “Volume of bodies”, etc.To teach mathematics without repeating the material previously passed on every lesson every day, this means transmitting, retelling to students a certain amount of different laws, theorems, formulas, etc., completely not caring about how firmly and consciously this material was mastered by our pets; it means not giving children deep and lasting knowledge. Researches showed us that repetition is the  main  instrument  of  the  study.  Results  of  the  analysis  revealed  that  students  exposed  to  repetition  with variation approach had significantly higher achievement, conceptual understanding and improved retention.
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