论文部分内容阅读
培养学生的邏輯思維能力,是数学教学目的之一。而概念明确、判断恰当、推理合乎邏輯则是培养邏輯思維的基本要求。本文拟就如何加强学生判断能力的培养,提出几点粗浅意見。判断是对事物有所肯定或否定的一种思維形式。数学判断,则主要是对空間形状及数量关系有所肯定或否定的思維。数学中,处处离不开判断。数学概念、公理、定理、公式、性质、法則,一般都用判断表达。判断与概念和推理紧密联系;判断由概念組成;概念用判断揭露。判断是組成推理的要素;而好多数学判断则必須經过推理才能获得。因而,在数学教学中培养学生恰当地进行判断的能力,不仅对培养学生邏輯思維有重要意义,而且,也是学好数学知識不可缺少的重要前提。
Cultivating students’ logical thinking ability is one of the goals of mathematics teaching. The clear concept, proper judgment, and logical reasoning are the basic requirements for training logical thinking. This article proposes some superficial ideas on how to strengthen the cultivation of students’ judgment ability. Judgment is a form of thinking that affirms or denies things. Mathematical judgments are mainly thoughts that affirm or negate the relationship between spatial shape and quantity. In mathematics, it is impossible to judge everywhere. Mathematical concepts, axioms, theorems, formulas, properties, and laws are generally expressed in judgments. Judgments are closely linked with concepts and reasoning; judgments are made up of concepts; concepts are exposed by judgments. Judgment is the element of reasoning; and many mathematical judgments must be obtained through reasoning. Therefore, the ability to train students in judicious judgment in mathematics teaching is not only important for cultivating students’ logical thinking, but also an indispensable prerequisite for learning mathematics knowledge.