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整式这一章,一开始就是单項式、多項式和同类项等概念与同类項的合并的教学。这一部分的教学,对于学生能否順利掌握整个这一章的各种法則和运算是关鍵性的問題。事实上不論整式的加減法,或是整式的乘除法的各种运算中,都离不开这些概念和同类項的合并,特别是加減法中的运算,除了把多項式写成代数和的形式之外,实际上就是同类項的合并的問題了。把和或差写成代数和的形式,一般学生尚不难掌握,但在同类項的合并問題上,学生往往就会产生各种类型的錯誤。例如:3x+5y=8x+y,5m-2m=3,
The whole chapter is a combination of concepts such as monomials, polynomials, and similar items and similar items. This part of the teaching is a key issue for students’ ability to successfully master the various rules and operations of this chapter. In fact, regardless of the addition and subtraction of the whole formula, or the various operations of the multiplication and division of the whole formula, it is inseparable from the merger of these concepts and similar items, especially the addition and subtraction, except that the polynomial is written as an algebraic sum. This is actually the problem of the merger of similar items. Writing sums or differences in the form of algebraic sums is not difficult for ordinary students to master, but students often have various types of mistakes in the merger of similar items. For example: 3x+5y=8x+y, 5m-2m=3,