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数学教学的目的在于培养学生的数学思维能力.数学思维能力是以数学思维品质为标志的.数学思维品质主要是深刻性、广阔性、严谨性、批判性等.本文从提问这一教学方式出发,探究如何突显数学问题的特点,挖掘数学问题的内涵,引领学生分析问题,解决问题,从而达到强化逻辑思维能力,提高数学思维品质的目的.一、追问例如,在高一数学复习中,将必修5第91页习题3(2)改编为求函数y=x2+3x2槡+2的值域.学生1:由基本不等式知,y=x2+3x2槡+2=x2槡+2+1x2槡+2≥2.所以函数的值域为[2,+∞).
The purpose of mathematics teaching is to cultivate students’ ability of mathematical thinking.Mathematical thinking ability is marked by mathematical thinking quality.Mathematical thinking quality is mainly profound, broad, rigorous, critical and so on.This article starts with asking questions about this teaching method , Explore how to highlight the characteristics of mathematical problems, mining the connotation of mathematical problems, leading students to analyze and solve problems, so as to achieve the purpose of strengthening the ability of logical thinking and improve the quality of mathematical thinking.Question, for example, in the high school mathematics review, will Compulsory 5 Page 91 Exercise 3 (2) Adapted to find the range of the function y = x2 + 3x2 槡 +2 Student 1: Knowing from the basic inequality that y = x2 + 3x2 槡 +2 = x2 槡 +2 + 1x2 槡+ 2 ≥ 2. So the range of the function is [2, + ∞).