首页|基于类比推理的高中函数单元整体教学探究——以"对数函数"为例

基于类比推理的高中函数单元整体教学探究——以"对数函数"为例

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类比推理是逻辑推理的一种形式,指学生基于已有知识研究未知问题,在探究过程中形成由此及彼、举一反三的思维拓展能力.单元整体教学是教师将数学内容重新整合形成新的单元,以帮助学生掌握数学探究方法,提升数学学习能力的一种教学方式.立足学生已有的指数函数学习活动经验,从类比推理的视角设计高中"对数函数"单元整体教学方案,并通过教学实践提出设计反思,即:立足类比推理,提高迁移能力;指向单元整体,构建知识网络;坚持素养导向,形成专家思维.
Exploration of Unit Integrated Teaching for High School Function Based on Analogical Reasoning:Taking"Logarithmic Functions"as an Example
Analogical reasoning is an important form of logical reasoning,which means that students study unknown problems based on their existing knowledge.During the exploration process,they can develop a thinking expansion ability,which makes them proceed from one point to another and infer other things from one fact to solve problems.Unit integrated teaching is a useful teaching method in which teachers reorganize mathematical content into a new unit to help students master mathematical exploration methods and enhance their mathematical learning abilities.In this paper,we base our approach on students'existing experience with"exponential functions",and design a unit integrated teaching plan for the"logarithmic functions"in high school from the perspective of analogical reasoning.Through teaching practice we propose some design reflections,which are to focus on analogical reasoning and improve transfer ability,address unit integrated teaching and build a knowledge network,adhere to literacy orientation to develop expert thinking.

analogical reasoningunit integrated teachinglogarithmic function

李莉、何平、唐笑敏

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南浔高级中学,浙江 湖州 313000

湖州师范学院 理学院,浙江 湖州 313000

类比推理 单元整体教学 对数函数

国家自然科学基金项目浙江省普通本科高校"十四五"教改项目

12071130JG20220550

2024

湖州师范学院学报
湖州师范学院

湖州师范学院学报

影响因子:0.301
ISSN:1009-1734
年,卷(期):2024.46(8)