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学数学离不开解题.通过解题,可以加深对概念的理解,深化对概念联系性的认识,优化数学认知结构,训练数学思维,提高分析和解决问题的能力.然而,所有这些解题目标都必须建立在“解好题”的基础上.章建跃教授从数学角度衡量“好题”应具有以下“品质”:与重要的数学概念和性质相关,体现基础知识的联系性,解题方法自然、多样,具有自我生长的能力等;从培养思维能力的角度,则应有:问题是自然的,对学生的智力有适度的挑战性,题意明确、不纠缠于细枝末节,表述形式简洁、流畅、
Learning mathematics can not do without solving problems, solving problems can deepen the understanding of concepts, deepen the understanding of conceptual connection, optimize the cognitive structure of mathematics, train mathematical thinking and improve the ability to analyze and solve problems.However, all these solutions The goal must be based on “solving the problem.” Professor Zhang Jiangyue from a mathematical point of view, “good questions” should have the following “quality ”: related to important mathematical concepts and properties, reflecting the basic knowledge The nature of the problem-solving methods, self-growth ability, etc .; from the perspective of training thinking ability, you should have: the problem is natural, the intelligence of the students have a modest challenge, the problem is clear, not entangled In the minutiae, the form of expression is concise, fluid,