A Creative Design Framework for Math Exam Questions Concerning Inequalities and Zeros of Functions with an Unknown Parameter in China National College Entrance Examination

Guoqiang Dang and Yufeng Guo
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Guoqiang Dang: School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China
Yufeng Guo: School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China

Mathematics, 2022, vol. 10, issue 10, 1-12

Abstract: The annual exam questions in China National College Entrance Examination (CNCEE, commonly known as Gaokao) have attracted wide attention from the entire society in China. This paper analyzes an important math exam question related to always holding inequalities with an unknown parameter from the 2020 CNCEE and builds different solutions via parameter separation or classified discussion, and then gives a systematic and effective design framework for questions related to problems of always holding inequalities and zeros of functions with an unknown parameter for the CNCEE. The framework reveals the internal mechanism of designing the math exam questions in the CNCEE. According to the design framework, two simulated math exam questions with reference solutions will be proposed.

Keywords: design framework; math exam questions; China National College Entrance Examination (Gaokao); inequalities; zeros of functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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