IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i10p1618-d812092.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/10/1618/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/10/1618/
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:10:p:1618-:d:812092. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.