依托在初中数学学习中有着承上启下作用的配方法,基于数学学习是数学知识的再创造这一思想,文章运用课题式教学法,通过分析配方法求解一元二次方程的地位与价值,挖掘其发展历程与所蕴含的数学思想,重构课堂教学,引发学生认知冲突,引导...依托在初中数学学习中有着承上启下作用的配方法,基于数学学习是数学知识的再创造这一思想,文章运用课题式教学法,通过分析配方法求解一元二次方程的地位与价值,挖掘其发展历程与所蕴含的数学思想,重构课堂教学,引发学生认知冲突,引导学生分析、解决问题,渗透转化与化归思想,尝试为本节课的教学提供一种新的思路。Relying on the distribution method that plays a bridging role in middle school mathematics learning, and the idea that mathematics learning is the recreation of mathematical knowledge, this article uses a project-based teaching method to analyze the status and value of solving quadratic equations, explore their development process and mathematical ideas, reconstruct classroom teaching, trigger students’ cognitive conflicts, guide students to analyze and solve problems, infiltrate conversion and transformation ideas, and attempt to provide a new approach for the teaching of this lesson.展开更多
本文结合高等数学课程中一元函数微积分的教学实践,通过总结部分典型题目的常见错误解法,深入剖析学习者在解题思路、解法方法等方面的错因,以此为例,强化教学重点,提出教学建议,进一步完善课程教学设计。This article combines the tea...本文结合高等数学课程中一元函数微积分的教学实践,通过总结部分典型题目的常见错误解法,深入剖析学习者在解题思路、解法方法等方面的错因,以此为例,强化教学重点,提出教学建议,进一步完善课程教学设计。This article combines the teaching practice of calculus of univariate functions in higher mathematics courses, summarizes common incorrect solutions to some typical problems, and deeply analyzes the causes of learners’ mistakes in problem-solving ideas, methods, and other aspects. Taking this as an example, it strengthens the teaching focus, proposes teaching suggestions, and further improves the teaching design of the course.展开更多
文摘依托在初中数学学习中有着承上启下作用的配方法,基于数学学习是数学知识的再创造这一思想,文章运用课题式教学法,通过分析配方法求解一元二次方程的地位与价值,挖掘其发展历程与所蕴含的数学思想,重构课堂教学,引发学生认知冲突,引导学生分析、解决问题,渗透转化与化归思想,尝试为本节课的教学提供一种新的思路。Relying on the distribution method that plays a bridging role in middle school mathematics learning, and the idea that mathematics learning is the recreation of mathematical knowledge, this article uses a project-based teaching method to analyze the status and value of solving quadratic equations, explore their development process and mathematical ideas, reconstruct classroom teaching, trigger students’ cognitive conflicts, guide students to analyze and solve problems, infiltrate conversion and transformation ideas, and attempt to provide a new approach for the teaching of this lesson.
文摘本文结合高等数学课程中一元函数微积分的教学实践,通过总结部分典型题目的常见错误解法,深入剖析学习者在解题思路、解法方法等方面的错因,以此为例,强化教学重点,提出教学建议,进一步完善课程教学设计。This article combines the teaching practice of calculus of univariate functions in higher mathematics courses, summarizes common incorrect solutions to some typical problems, and deeply analyzes the causes of learners’ mistakes in problem-solving ideas, methods, and other aspects. Taking this as an example, it strengthens the teaching focus, proposes teaching suggestions, and further improves the teaching design of the course.