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苏教版小学数学第十一册“分数乘法”单元中的“整理与练习”有以下一道思考题。题目的设计意图是通过计算引导学生发现计算规律:分母是相邻自然数(不为0)、分子是1的两个分数,它们的差等于它们的乘积。如果只是让学生简单地发现这样的规律,课堂教学会十分枯燥,既影响学生的学习兴趣,又不能很好地发展学生的思维。那么,如何把握教材的编写意图,最大限度地挖掘教材深层次的价值,更好地培养学生的思维能力呢?
Supiao version of elementary school mathematics eleven “fractional multiplication ” unit “finishing and practice ” has the following question of thinking. The design of the subject is designed to guide the student through the calculation of the law of discovery: the denominator is an adjacent natural number (not zero), and the numerator is two fractions of a one whose difference is equal to their product. If you simply allow students to find such a simple law, classroom teaching will be very boring, not only affect students ’interest in learning, but also not well develop students’ thinking. So, how to grasp the compilation of teaching materials intended to maximize the value of mining textbooks, and better develop the thinking ability of students?