Evaluation and Thinking of “IF-Problem” of Mathematics for China’s College Entrance Examination

The Mathematics Proposition of College Entrance Examination is going through a process of deepening reform. According to the requirement of mathematics education for examinee's mathematics literacy, a lot of attempts have been made in the past mathematics teaching and proposition practice. Now the new type of questions is gradually infiltrating into the proposition of mathematics in college entrance examination.“IF-Problem” is a type of mathematical problem for China’s college entrance examination, It is helpful to improve the shortcomings of the past mathematics evaluation in college entrance examination, to evaluate the innovative consciousness and practical ability of candidates in mathematics thinking, and to infiltrate the core quality of mathematics in mathematics teaching. This essay focuses on researching examples of this new type in terms of its positive, reverse, strategic, and linguistic aspects from evaluation basis, score to the establishment of evaluation criteria, from its structure, its elements, test subject and content to the interpretation of innovative examples, which may pave the way for scientific evaluation of mathematics education.