班级学生的数学认知及能力差异是客观存在的,如果按“班级数学学习水平差异”分类,则可分为“专才型”的偏科生(数学学习水平次者)一类、“均衡型”的常态生(数学学习水平良者)二类和“博才型”的优秀生(数学学习水平优者)三类.他们的具体特征表象:一类是偏科生,存在知识性障碍和策略性障碍,底子比较薄,所学知识比较零星,只具有模仿能力,看到题目后有一种“似曾相识”的感觉,只能解决一些简单问题,对于复杂问题只能在表面上写一些“皮毛”的内 Class differences in students’ mathematical cognition and abilities exist objectively. If they are categorized according to the differences in the level of math learning in class, they can be divided into “specialist type” (undergraduates) Class, “balanced ” normal students (mathematics learning level good) and “Boya type ” excellent students (mathematical learning level gifted) three types of their specific characteristics of appearance: one is Partial science students, there are knowledge-based obstacles and strategic obstacles, the foundation is relatively thin, relatively sparse knowledge of knowledge, only with the ability to imitate, see the title after a “deja vu” feeling, can only solve some simple questions, for Complex problems can only write some “fur” on the surface