选取我国有代表性的7 个版本的初中数学教材,对不等式内容的广度、深度、例习题的难度进行定量分析和定性分析,得到如下结论:在教材的综合难度比较上,人教版第一,北师大版其次,苏科版第三,其他版本居其后;在对核心命题及概念的处理上,我国不同版本的教材各具特色,但都注重基础知识的理解和数学思想的渗透。最后,在研究结论的基础上提出一些教学建议。
问题解决的认知研究一直是热点问题,本文扎根于数学学科中解代数应用题的重难点教学内容,运用认知分析法,对已有"问题解决"认知研究进行文献梳理与述评,归纳细化出解代数应用题的三维认知过程模型;基于此模型的特点与规律、认知心理学和认知诊断理论,从"操作"和"图式"两大认知成分出发,析出解代数应用题的7 个认知属性:基本算术运算A1、多步运算A2、基本数量关系A3、复杂知识的图式A4、识别隐含条件A5、算
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