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我们一线数学教师已形成共识,切实减轻学生过重的课业负担,让学生远离题海.这需要教师深入钻研教材,设计高质量的针对性练习,达到举一反三、触类旁通、提升思维之功效.而渐进式变式题组正好可以满足以上要求,通过题目设计的层层递进,可以让学生体会到几何知识的前后联系,图形变化过程中的不变规律,能够体会到数学学习的精髓之所在.渐进式题组在设计上要以教材中典型例习题为原型,通过变条件(弱化与强化)、变结论(由封闭到开放)、变过程(解法由简单到复杂),循序渐进,注重通性通法.以下是以上教版教材中的一道例题为原型编制的习题组.
Our first-line mathematics teachers have reached a consensus to effectively reduce the overburdened students’ academic burden and keep students away from the sea of questions. This requires teachers to delve deeper into teaching materials, design high-quality targeted exercises, and achieve the same effect of enhancing the efficiency of thinking. The variant question group can exactly meet the above requirements. Through the layer design of the topic design, students can understand the geometric knowledge before and after contact, the invariable patterns in the process of graphic changes, and can understand the essence of mathematics learning. The design of the progressive question group should be based on the typical example exercises in the teaching materials. The conditions should be changed gradually (weakened and strengthened), changed from closed to open, and changed from simple to complex. The following is an example of the problem set in the above teaching materials.