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数学课程标准明确指出,数学教学应注重发展学生的数感﹑符号意识﹑空间观念﹑几何直观﹑数据分析观念﹑运算能力﹑推理能力和模型思想.而推理能力的发展应贯穿于整个数学学习过程.推理是数学的基本思维方式,也是人们学习和生活中经常使用的思维方式.由此可见,发展学生的推理能力应该是数学教与学中的一个重要目标.推理能力一般包括合情推理和演绎推理.在解决实际问题过程中,这两种推理往往是相辅相成的.合情推理用于探索思路,发现结论;演绎推理用于证明结论.创新点:古代先生教学问,现代学生做思记.把学问与思记有效结合,符合人人都能获得良好的数学教育,不同的人在数学上得到不同的发展的数学课程理念,有助于注重
Mathematical curriculum standards clearly pointed out that mathematics teaching should focus on the development of students sense of the number of sense, space concept, geometric intuition, data analysis concepts, computing power, reasoning ability and model thinking.The reasoning ability should be developed throughout the mathematical learning process Reasoning is the basic way of thinking of mathematics, but also the way of thinking that people often use in their study and life.Thus, the development of students’ reasoning ability should be an important goal in mathematics teaching and learning.The reasoning ability generally includes co-rationality reasoning and Deductive reasoning.In the process of solving practical problems, these two kinds of reasoning tend to complement each other.Conflicting reasoning is used to explore ideas and discover conclusions, deductive reasoning is used to prove the conclusion.Critical points: the ancient teacher asked, modern students do thinking Combining learning with thinking effectively meets the mathematical education that everyone has access to good mathematics, and that different people get mathematically different concepts in math curriculum that help to focus attention