几种数学观下的数学教学

Mathematics Teaching in Some Different Views of Mathematics

学生从猛增乱补与认套题型的教学中得到死知识、僵方法、低能高耗疲累和自卑，从结构教学、建构教学、思维教学中得到活知识、高智慧、良好的认知结构和使其更优化的方法。避开数学观的教学方式研究，是低效实践研究。应张扬理性精神，更新数学观，改革教育类课程。

What students get from the teaching with the zooming of content, disorder stacking and endless guessing of the examination questions are dead knowledge, mechanical method, low efficiency and high consumption, inferior mentality. However, what students get from the teaching of structure, construction and thinking are living knowledge, high wisdom, favorable cognition structure and optimum ways. The research on teaching methods in regardless of mathematics views is the practical research with low efficiency. It is required that we should initiate rational spirit, renew mathematics views and reform educational courses.