为促进数学深度学习而教:理念形塑、模式证析与实践示例

Teaching to Promote Deep Learning of Mathematics:Concept Shaping,Pattern Verification and Practice Example

基于深度学习理论最新研究动态分析,整合并重构数学深度学习的理论认知,开辟了从发生机制、过程特征与目标旨向三个环节整体研究数学深度学习的视角,进而根据相应的三个深度学习状态,形塑“以兴趣为始点、以理解为轴心、以素养为目标”的数学深度教学理念,并展开评议分析。数学深度教学模式的结构与程序包括:强化内在学习动机,引导学生进入专心致志的沉浸式深度学习状态;注重知识关系建构,引导学生进入融会贯通的理解性深度学习状态;启悟思想涵育精神,引导学生进入不断概括感思的层进式深度学习状态。研析理念与模式应用于常见课型的实践示例与成效。

Based on latest research of deep learning theory,this artide integrates and reconstructs the theoretical cognition of deep learning of mathematics,creates a perspective of studying the deep learning from occurrence mechanism,process characteristics and objective and puts forward three deep learning states,thus formulating deep teaching concept of mathematics that regards interest as starting point,understanding as axis,and competency as goal and car rying out evaluation and analysis.In order to construct and analyze deep teaching model of mathematics,it is necessary to strengthen internal learning motivation and guide students to a state of concentrated immersive deep learning,emphasize the construction of kmowledge relationship and guide students to a state of comprehensive deep learning,and enlighten ideology and guide students to a state of progressive deep learning.