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数学思想和数学方法统称数学思想方法。在数学教学中,不但要反映显形的数学知识(概念、定理、公式、性质等),而且还要始终反映隐形的数学知识(数学思想方法),这样才能把课上“活”。如何在教学中引导学生进行探究式的学习,训练和培养学生的数学思想和数学方法呢?本文介绍四种教学模式。模式一:观察、猜想——探究式教师引导学生运用观察、实验来获取经验,进行大胆猜想,激发学生的探究兴趣,进而培养学生的问题意识和解决问题的能力。如在“同底数幂的乘法”法则的教学中,给出10~3×10~2=10~(3+2),4~3×4~2==4~(3+2)等,
Mathematical thinking and mathematical methods are collectively referred to as mathematical thinking methods. In mathematics teaching, it is necessary not only to reflect the explicit mathematical knowledge (concepts, theorems, formulas, properties, etc.), but also to always reflect the invisible mathematical knowledge (mathematical thinking and methods) so as to “living” in class. How to guide students in the teaching of inquiry-based learning, training and training students’ mathematics ideas and mathematical methods? This article introduces four kinds of teaching models. Mode 1: Observation, Conjecture - Inquiring teachers guide students to use observations and experiments to gain experience, make daring conjectures, stimulate students’ interest in inquiry, and then develop students’ problem awareness and ability to solve problems. For example, in the teaching of “multiplication of the same power number” rule, 10~3×10~2=10~(3+2), 4~3×4~2==4~(3+2) are given.