Research article Special Issues

Problems and challenges of using randomized automatically evaluating geometric construction problems in Moodle LMS

  • Received: 27 October 2023 Revised: 01 January 2024 Accepted: 05 January 2024 Published: 26 January 2024
  • MSC : 97D60, 97G99, 97U50, 97B50

  • The objective of this paper was to examine the present state of geometric constructions in both international and national mathematics assessments. Additionally, it aimed to shed light on the noticeable lack of geometric construction items in these assessments and propose a solution to incorporate such items by utilizing a web-based mathematics assessment tool. After providing a brief summary of the unique benefits associated with geometric construction problems, the subsequent paper explored the development of a web-based mathematics assessment tool, the procedure for generating automatic evaluation GeoGebra applets for geometric construction problems, and their integration into Moodle learning management system (LMS). The purpose of this assessment tool was to enhance the evaluation of a substantially larger group of students within the realm of geometric constructions. The final section of the paper examined the difficulties encountered in the creation of the automatic evaluation applets and their incorporation into Moodle LMS. Through the development of such a web-based mathematics assessment tool, we enabled the evaluation of a significantly larger number of students, thus aiding not only national and international mathematics examinations but also assisting mathematics teachers in tracking students' scores and progress.

    Citation: Peter Csiba, Peter Vajo. Problems and challenges of using randomized automatically evaluating geometric construction problems in Moodle LMS[J]. AIMS Mathematics, 2024, 9(3): 5234-5249. doi: 10.3934/math.2024253

    Related Papers:

  • The objective of this paper was to examine the present state of geometric constructions in both international and national mathematics assessments. Additionally, it aimed to shed light on the noticeable lack of geometric construction items in these assessments and propose a solution to incorporate such items by utilizing a web-based mathematics assessment tool. After providing a brief summary of the unique benefits associated with geometric construction problems, the subsequent paper explored the development of a web-based mathematics assessment tool, the procedure for generating automatic evaluation GeoGebra applets for geometric construction problems, and their integration into Moodle learning management system (LMS). The purpose of this assessment tool was to enhance the evaluation of a substantially larger group of students within the realm of geometric constructions. The final section of the paper examined the difficulties encountered in the creation of the automatic evaluation applets and their incorporation into Moodle LMS. Through the development of such a web-based mathematics assessment tool, we enabled the evaluation of a significantly larger number of students, thus aiding not only national and international mathematics examinations but also assisting mathematics teachers in tracking students' scores and progress.



    加载中


    [1] Euclid, Euclid's Elements of Geometry, 2008. ISBN 978-0-6151-7984-1.
    [2] G. Polya, Mathematical Discovery, John Wiley & Sons, 1981. ISBN 0-471-08975-3.
    [3] A. Levav, R. Leikin, Multiple Solutions for a Problem: A Tool for Evaluation of Mathematical Thinking in Geometry, CERME 6, (2010), 776–785.
    [4] M. Venturini, N. Sinclair, Designing Assessment Tasks in a Dynamic Geometry Environment, MEDE, 8 (2017). https://doi.org/10.1007/978-3-319-43423-0_5 doi: 10.1007/978-3-319-43423-0_5
    [5] Mathematical Association of America: WebWork, Available from: https://openwebwork.org/
    [6] GeoGebra, Available from: https://www.geogebra.org/
    [7] O. Birgin, F. Topuz, Effect of the GeoGebra Software-Supported Collaborative Learning Environment on Seventh Grade Students' Geometry Achievement, Retention and Attitudes, J. Educ. Res., 114 (2021), 474–494. https://doi.org/10.1080/00220671.2021.1983505 doi: 10.1080/00220671.2021.1983505
    [8] H. Zulnaidi, E. Oktavika, Hidayat, Effect of use of GeoGebra on achievement of high school mathematics students, Educ. Inf. Technol., 25 (2020), 51–72. https://doi.org/10.1007/s10639-019-09899-y doi: 10.1007/s10639-019-09899-y
    [9] N. Arbain, A. N. Shukor, The Effects of GeoGebra on Students Achievement, Procedia-Social Behav. Sci., 172 (2015), 208–214. https://doi.org/10.1016/j.sbspro.2015.01.356 doi: 10.1016/j.sbspro.2015.01.356
    [10] Y. Zengin, H. Furkan, T. Kutluca, The Effect of Dynamic Mathematics Software GeoGebra on Student Achievement in Teaching of Trigonometry, Procedia-Social Behav. Sci., 31 (2012), 183–187. https://doi.org/10.1016/j.sbspro.2011.12.038 doi: 10.1016/j.sbspro.2011.12.038
    [11] K. A. Bakar, A. F. M. Ayub, R. Mahmud, Effects of GeoGebra towards Students' Mathematics Performance, ICREM7, (2015), 180–183. 10.1109/ICREM.2015.7357049 doi: 10.1109/ICREM.2015.7357049
    [12] S. Radovic, M. Radojicic, K. Veljkovic, M. Maric, Examining the effects of Geogebra applets on mathematics learning using interactive mathematics textbook, Interact. Learn. Environ., (2020), 32–49. 10.1080/10494820.2018.1512001 doi: 10.1080/10494820.2018.1512001
    [13] L. Frenken, P. Libbrecht, B. Becker, G. Greefrath, Dynamic Geometry Tasks in Standardized Assessment–Analysis of Solution Processes and Consequences for Practice, IJMEST, (2022). https://doi.org/10.1080/0020739X.2022.2036838 doi: 10.1080/0020739X.2022.2036838
    [14] Š. Gergelitsová, T. Holan, GeoTest-A system for the automatic evaluation of geometry-based problems, Comput. Appl. Eng. Educ., (2016), 297–304. 10.1002/cae.21712 doi: 10.1002/cae.21712
    [15] Š. Gergelitsová, T. Holan, An Automatic Evaluation of Construction Geometry Assignments, EC-TEL, 7563 (2012). https://doi.org/10.1007/978-3-642-33263-0_41 doi: 10.1007/978-3-642-33263-0_41
    [16] T. P. Dick, Using Dynamic CAS and Geometry to Enhance Digital Assessments, ICME-13 Monogr., (2018), 267–287. https://doi.org/10.1007/978-3-319-76575-4_14 doi: 10.1007/978-3-319-76575-4_14
    [17] Moodle, Available from: https://moodle.org/
  • Reader Comments
  • © 2024 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Metrics

Article views(535) PDF downloads(101) Cited by(0)

Article outline

Figures and Tables

Figures(5)

Other Articles By Authors

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return

Catalog