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(一) 最近我們有机会訪問了北京的几个中学,了解了一些数学教学的情况,接触到了一些問題,感到在中学几何教学的实践过程中,以及教师对几何教学的看法上有下列的一些情况:一是认为十二年制的几何教材是脫离实际的,因而需要加强几何材料与实际的联系。为此,注意了几何概念的实际引入,并且加强它的实际应用的內容,但是在实践过程中个別教师却或参或少地忽视了理論,忽祝了把实际問題上升为科学的概念的必要性,忽視了邏輯推理的重要性,忽視了几何教学在培养学生的邏輯思维能力方面的作用;二是知道提高几何的理論水平是重要的。但是在教学中不敢要求学生,怕在理論上、推理上严格要求学生就是維护“旧框框”;三是认为理論与实际的結合是重要的,在教学中也敢于要求学生,但不太明确应該要求到什么程度。总之,在最近期间教师们还是比較注意了加强理論与实际的結合,但是在对理論与推理的要求方面却反映了不要、不敢、不明确的三种情况。这些問題的討論涉
(a) Recently, we had the opportunity to visit several high schools in Beijing, learned about some mathematics teaching situations, encountered some problems, and felt that in the practice of high school geometry teaching and teachers’ views on geometry teaching, there are some Situation: First, the 12-year geometry textbook is considered to be disembodied. Therefore, it is necessary to strengthen the relationship between geometric materials and the actual situation. For this reason, attention was paid to the actual introduction of the concept of geometry and its practical application was strengthened. However, in the course of practice, individual teachers either ignored or ignored the theory and suddenly wished to raise the actual problem to the concept of science. Necessity ignores the importance of logical reasoning and ignores the role of geometry teaching in cultivating students’ logical thinking ability. Second, it is important to know that raising the theoretical level of geometry is important. However, students are afraid to ask students in teaching, and they are afraid that theoretically and reasoningly require students to maintain “old frameworks”; third is that the combination of theory and practice is important and dares to ask students in teaching, but not so much. Determine to what extent it should be required. In short, during the most recent period, teachers were still paying more attention to strengthening the combination of theory and practice. However, in terms of requirements for theory and reasoning, they reflected three situations of nonessential, undaunting, and unclear. The discussion of these issues involves