数学思维教学的“两阶段理论”

Two Stages of Mathematics Teaching for Thinking

数学思维教学应当区分为两个不同的阶段:(1)帮助学生了解、学习数学思维从而改进思维;(2)“由数学地思维”转向“学会思维”,努力提升学生的思维品质.这可视为一种“螺旋式的上升”,与此为对照也可清楚地看出这样两种观点的片面性,即是“基础教育去学科化”,以及单纯从学科的视角对数学教育目标做出狭义解读.

Teaching mathematical thinking should be divided into two stages:(1) helping students learn to think mathematically and in this way to improve their thinking;(2) going from “think mathematically” to “learn to think through mathematics”, and thus improve students’ thinking quality. By comparing with this “spiral development”, it can be clearly seen the one-sidedness of the following two views: the de-disciplinarization of basic education, and the narrow interpretation of the objectives of mathematics education from the disciplinary perspective.