命题微积分在数学教学与实践中的应用

Vladimír Matušek
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引用次数: 0

摘要

在我们的论文中,我们试图指出尼特拉斯洛伐克农业大学学生在数学思维中最常见的逻辑错误。错误分析是在学生测试的基础上发展起来的。参与这项研究的学生们即将参加a -level数学考试。测试任务的目的是在中学和大学的数学课程中使用基本逻辑——否定、一般和存在量词。我们检验了我们的主要假设,即数学知识涉及到数学的其他部分将提高学生的知识质量。在制定研究的主要假设时,我们既依赖于问题的理论知识,也依赖于自己的教学实践经验。教学实验分为实验组和对照组两组。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Propositional Calculus in Teaching Mathematical Subjects and in Praxis
In our paper we try to point out the most common logical mistakes in mathematical thinking made by students of the Slovak University of Agriculture in Nitra. The mistakes analysis was developed on the basis of students’ tests. Students involved in the research were about to take their A-levels in Maths. Tasks in the tests were aimed at the use of an elementary logic – negations, general and existential quantifier in the curriculum of Mathematics at secondary schools and at universities. We tested our main hypothesis, that the involvement of mathematical knowledge into other parts of mathematics will improve a quality of students’ knowledge. When formulating the main hypothesis of our research we relied on both, the theoretical knowledge of the issue and the experience based on our own teaching practice. Pedagogical experiment was carried out in two groups – the experimental and the control one.
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