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高中共建学生数学思维特点的实证研究

The Substantial Evidence Research on the Mathematic Logical Characteristics of the Senior School Students

【作者】 商海艳

【导师】 孙连举;

【作者基本信息】 东北师范大学 , 教育, 2007, 硕士

【摘要】 数学思维教育是21世纪数学教育的核心。数学是与思维联系紧密的科学,是思维的科学。在数学教学中,要求学生通过自己的思维来学习,这是普通教育首要的教学目的和要求。学生学习数学,不仅要掌握教学大纲所规定的数学实践知识、技能和能力,而日.要掌握数学思维的方法,促进思维的发展。现代数学教学把发展学生的思维提到了相当高的地位、形象的把数学喻为“思维的体操”,这是因为数学是一门以论证方式建立的学科,要实现逻辑论证,必须经过不懈的努力,学习数学的那种精神,对所有学习者都是有益的。本文立足于教学实践,以鞍山市第一中学高三共建班学生为被试对象,通过课堂教学观察、教学实录、试卷剖析、个别答疑等对学生在问题解决中呈现的思维特点进行研究和分析,对共建班中的男生、女生、数学优等生、数学困难生进行了分类,了解他们在逻辑思维、形象思维、直觉思维三方面的水平差异,探索优化学生数学思维的教学策略,从而促进他们数学的学习。研究中采用了问卷、观察、访谈、测验等科学手段。

【Abstract】 Maths thinking education is the centre in 21 century .Maths is a science very close to thinking,a science of thinking . Abstract: So as to mathematic teaching, requiring students study overpass their thinking, this is chiefly teaching aim and reques. Students must mastery neat only episteme and ability, which didactical outline stipulates, but also ways and means mathematic thinking, that can develop their thinking. Modern mathematics teaching has raised it to a fairly high position that it develops students’ability of thought, and it compares mathematics to”the gymnastic of thought ".This is because mathematics is the subject that is established by demonstration .To realize logic demonstration,we must persevere and study those spirit of mathematics via unremitting efforts,which is helpful for all the learners.This paper stands in teaching practice.I experiment on the students of seven classes in the Middle School of anshan .The students are from the liberal arts of high 3. Through classroom teaching observation and the anatomy of test papers,individual answers to the questions raised by the students etc, I make a study of thought characteristics that have appeared in problem solution study .1 classify the students into several groups,such as ,schoolgirls and schoolboys,mathematics high-class livelihood and students having difficulty with mathematics in liberal arts to have some idea of their horizontal discrepancy in the aspect of logic thought, thinking in images and intuition thought 3 and explore optimization student mathematics thought to promote the study of their mathematics. In research,I have adopted questionnaire and observation,visit to talk,the scientific means such as test.

【关键词】 逻辑思维形象思维直觉思维共建生
【Key words】 Logic thoughtImage thoughtIntuition thought
  • 【分类号】G633.6
  • 【下载频次】180
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