Table 2.

Factorization cognitive model attribute.

Code	Full name	Description
A1B1	Knowledge-understanding of the factorization concept	Understand and master the basic concepts of factorization
A2B1	Knowledge understanding of the concept of the common factor	Understand and grasp the concept of the common factor, be able to determine the common factor of the polynomial
A3B1	Knowledge understanding of the method of extracting the common factor	Proficiently and accurately decomposing polynomials whose common factor that can be observed directly
A3B2	Knowledge transfer of the method of extracting the common factor	Extracting the common factor by grouping the polynomials and using A3, A4, and A5 comprehensively
A3B3	Knowledge innovation of the method of extracting the common factor	Decomposing polynomials through adding terms and extracting the common factor of the terms by grouping.
A4B1	Knowledge understanding of the method of the square variance formula	Proficiently and accurately decomposing polynomials by the method of formula for the difference of square
A5B1	Knowledge understanding of the method of the perfect square formula	Decomposing proficiently and accurately polynomials by the method of formula for the perfect square