Analogy in mathematics teaching
|School||Liaoning Normal University|
|Keywords||analogy cognitive psychology transference mathematics discovery creative thinking|
The analogy is an important method of mathematical creative thinking and it is also an important concept of mathematics teaching. This method allows students first to have reasonable identification with different levels and types of mathematical concepts, mathematical thinking and mathematical theories through appropriate analog, and then be able to analyze the differences between them, which is undoubtedly of great significance.Analogy is not the method that can be used casually. In the actual process of teaching, teachers should analyze the students` mathematical cognitive levels, with the aim of making a choice of an effective form of analogy.In mathematics teaching process, there are many situations where analogy can be applied. For example, in concept teaching, employing analogy appropriately can produce very good results in the aspect of understanding the nature of theorem, the exploration of some important methods, as well as the deep-leveled research into some problems.In mathematics discovery and mathematics learning, analogy (thinking) is frequently applied, which is, more often than not, combined with induction and association, to solve problems. Analogical reasoning is one of the most important thinking methods which can not only help learners establish connection between the new knowledge and the old knowledge, but also is helpful in drawing out new questions and making new assumptions, as well as in constructing new mathematical methods. Meanwhile, by using analogy, students can develop intuitive thinking and mathematical transference, which further enhance students’ability of mathematics application.