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问题解决及其对数学教育的启示

PROBLEM-SOLVING & ITS INSPIRATION TO MATHEMATICAL EDUCATION

【作者】 陈文胜

【导师】 庄兴无;

【作者基本信息】 福建师范大学 , 教育, 2001, 硕士

【摘要】 “问题解决”在数学教育中具有举足轻重的地位,是数学教育发展的必然趋势。本文首先分析问题解决的背景,说明提倡问题解决的重要性和必然性,是符合时代潮流的明智之举。然后给出问题解决中的“问题”、问题解决的定义,并阐述问题提出与问题解决的关系、数学问题解决的心理分析、问题解决成为主流地位的五点原因。 本文重点阐述问题解决对数学教育的启示: (1)更新观念:数学观、课程观、教学观、学习观、人才观。 (2)教材建设:分析目前的高中教材不适合问题解决,提出四点提议。 (3)课堂设计:着重说明了设计原则:创设问题情境;充分暴露思维过程,体现再发现、再创造;重视解题策略;加强数学建模;重视背景问题的提出和解决;注重对学生创新能力的培养。 (4)教学模式:分析目前的教学模式都是以练为主,构建以问题解决为基础的课堂教学模式。 (5)考试命题:问题解决必须以考试为突破口,以试题为导向,考试命题必须做到“五个转变”。

【Abstract】 !IIJWM~CIYt~ & 115 I~UA1XI4 10 MAWMA1ICAL F1IX~A11ON (ABSTRACT) Problem-Solving posses an quite important position in mathematical education, which is also inevitable tendency of mathematical education抯 development. In this article, firstly we抣l analyze the back ground of Problem-Solving, explaining and advocating importance and inevitability of Problem-Solving, which is a perfect method to comply with times?tide; then giving the definitions of 慞ROBLEM?and 慞ROBLEM-SOLVING? expounding the relationship between problem raise and Problem-Solving, psychoanalysis and four reasons why Problem-Solving becomes so important This article emphasize on inspiration of mathematical education from Problem-Solving 1. IDEAR UPDATE: ideas of mathematic, courses, teaching, learning and talent. 2. TEACHING MATERIAL CONSTRUCTION: analyzing unsuitable Problem-Solving in senior teaching material at present and make four suggestions. 3. CLASSES DESIGN: emphasizing on explaining design principles which include: creating situation of problem, uncovering the process of thinking completely, reflecting rediscover and recreation, attaching importance to strategy of resolution, strengthen mathematical modeling, paying more attention to raise and solute the problems of background; thinking highly of training students? ability of innovation. 4. TEACHING MODEL: analyzing actual teaching model emphasizing on practices and building classes teaching model which is on basic of Problem-Solving. 5. EXAMINATION PROPOSITION: regarding examination as breakthrough gap of Problem-Solving, taking test problem as guidance, examination proposition must realize 慒IVE TRANSFORMATIONS?

【关键词】 问题解诀问题数学教育
【Key words】 Problem-SolvingProblemMathematical Education
  • 【分类号】G633.6
  • 【被引频次】8
  • 【下载频次】708
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