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(一) 数学教学要做到精讲,必须加强分析。所谓分析,一般地说,讲清每一概念的内涵和外延;讲清每一法则、定理、公式、公理和定理本身的条件、结论和应用的范围;有时还要说明某些主从关系、一般和个别的关系;讲清运算的要求、步骤及其应注意之点等等,都可以叫做分析。而在数学范围之内,相对于综合而言的分析,则比上述的分析意义狭窄一些,但是要深刻得多。前者只解决“是什么”的问题,后者要在前者的基础上解决“为什么”的问题。前者在课本上基本解决了,只要教师讲述清楚,并辅之以启发诱导和必要的练习,学生就不难领会。后者,由于课本上
(A) mathematics teaching to be precise, we must strengthen the analysis. The so-called analysis, generally speaking, to clarify the connotation and denotation of each concept; to clarify the conditions, conclusions and the scope of application of each law, theorem, formula, axioms and theorems themselves; sometimes also some of the main and subordinate relations, General and individual relations; clarify the requirements of the operation, steps and points should be noted, etc., can be called analysis. Within the scope of mathematics, the analysis relative to comprehensiveness is narrower than the above analysis, but it is much more profound. The former only solves the “what” problem, the latter should solve the “why” problem on the basis of the former. The former basically solved in the textbooks, as long as the teacher narrated clearly, supplemented by inspiration and necessary exercises, students will not difficult to understand. The latter, due to the textbook