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一位教师教因式分解这一单元时，发现学生的基础知识差别较大，于是对8名成绩好的学生提出了不同的要求，让他们到图书馆自学《因式分解及其应用》一书。经过自学，他们完成了规定的习题作业，集体选编了几十道有代表性的习题。教师将习题有选择地按程度分别介绍给其他同学练习和讨论，进一步推动了全班的学习，使全班提前五课时完成了因式分解单元的教学任务。 问题：指出上面案例中教师的教学行为符合或违背什么教学原则，并简要解释。
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