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

Author

Listed:
  • Guoqiang Dang

    (School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China)

  • Yufeng Guo

    (School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China)

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.

Suggested Citation

  • Guoqiang Dang & Yufeng Guo, 2022. "A Creative Design Framework for Math Exam Questions Concerning Inequalities and Zeros of Functions with an Unknown Parameter in China National College Entrance Examination," Mathematics, MDPI, vol. 10(10), pages 1-12, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:10:p:1618-:d:812092
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    Cited by:

    1. Peiyao Lei & Wenqing Kong & Su Han & Sunzhong Lv & Xiaoqin Wang, 2022. "The Mathematical Culture in Test Items of National College Entrance Examination in China from 1978 to 2021," Mathematics, MDPI, vol. 10(21), pages 1-26, October.
    2. Jian Li & Eryong Xue, 2022. "Pursuing Sustainable Higher Education Admission Policy Reform: Evidence from Stakeholders’ Perceptions in China’s Pilot Provinces," Sustainability, MDPI, vol. 14(19), pages 1-13, September.

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