Pupils’ didactical Mileu in an inclusive discourse in basic triangle geometry

Authors

DOI:

https://doi.org/10.33830/ijdmde.v1i2.9523

Keywords:

Basic triangle, didactical milieu, geometry, inclusive discourse, triangle

Abstract

The concept of inclusivity is the practice of placing pupils with disabilities in normal classrooms. However, the idea of the triangle continues to pose fundamental challenges. This study sought to explore didactical mediation on the learning of the triangle beyond the classroom. The research design used mixed methods sequential exploratory to help identify the pupil’s interpretation of the triangle. The researchers first conducted a semi-structured interview on their experiences in learning the triangle both in school and at home. The responses were transcribed and coded in themes. The themes that emerged were properties, types of angles, and applications to everyday life. The researchers then went further to test the pupils’ knowledge on the same themes. The findings showed that didactical mediation with the cultural artefacts, signs, and language largely explained the emergence of the four main properties and must be targeted for the theory, policy, and practice of inclusive education. The prototype testing also confirmed that even though pupils with hearing impairment obtained higher scores, both groups obtained higher mean scores on the post-test than did the pre-test. This indicated that the learning achievement was significantly higher in the post-test than in the pre-test due to the didactical mediation. It was recommended that the triangle’s learning and teaching should not be limited to academic exercises but to real-life situations. Also, mathematics concepts that are not visually friendly be explored to uncover the most suitable methods and techniques to make inclusive mathematics learning a reality for all groups of disabilities.

References

Ahmed, I. (2020). Mathematics Education from a Non-Visual and Disability Studies Perspective: Experiences of Students, Families, and Educators [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Centre. http://rave.ohiolink.edu/etdc/view?acc_num=osu1593699490689104.

Ali, C. A. (2023). Using indigenous artifacts to support conceptual field approach of learning special trigonometric angles. Journal of Mathematics and Science Teacher, 3(2), 1-11, em047. https://doi.org/10.29333/mathsciteacher/13698

Ali, C. A. (2021). Visually impaired student-teacher knowledge and use of basic assistive technology tools for mathematics. African Educational Research Journal, 9(4), 945-955. https://doi.org/10.30918/AERJ.94.21.151

Aljundi, K. & Altakhayneh, B. (2020). Obstacles to blind students’ learning maths in Jordan from students’ and teachers’ perspectives. International Education Studies, 13 (8); 1-5. https://doi.org/10.5539/ies.v13n8p1.

AMS. (2002). The World of Blind Mathematicians. Notices of the AMS, 49(10), 1246-1251. Retrieved from https://www.ams.org/journals/notices/200210/200210FullIssue.pdf.

Andriyani, Z., Budayasa, I. K., & Juniati, D. (2018). The blind pupil’s interpretation of two-dimensional shapes in geometry. Journal of Physics: Conf. Series 947, 1-6. https://doi.org/10.1088/1742-6596/947/1/012055.

Andriyani, Z., Budayasa, I. K., & Juniati, D. (2018). A Study of Geometry Concept Mathematization Process on Blind Student Visual Imagery. International Journal of Engineering & Technology, 7 (430), 11-30. https://doi.org/10.14419/ijet.v7i4.30.22023

Brousseau, G. (2002). Didactique: What Use is it to a Teacher? In Nicolas Balacheff, Martin Cooper, Rosamund Sutherland, Virginia Warfield (Editors). Theory of Didactical Situations in Mathematics Didactique des Mathématiques, 1970–1990 (pp. 253-274). Springer Link, Retrieved from https://link.springer.com/book/10.1007/0-306-47211-2

Buhagiar, M. A., & Tanti, M. B. (2011). Working Toward the Inclusion of Blind Students in Malta: The Case of Mathematics Classrooms. Journal of Theory and Practice in Education, 7(1), 59-78. Retrieved from https://www.um.edu.mt/library/oar/handle/123456789/28061.

Creswell, J. W., & Creswell, J. D. (2018). Research design: qualitative, quantitative, and mixed methods approaches (5ed). Los Angeles: SAGE. Retrieved from https://cmc.marmot.org/Record/.b57516595.

Jurmang, I. (2015). Effect of Applied Orientation and Mobility Programme on Attitude and Achievement in Geometry of Learners with Visual Impairment in Abuja and Gindiri, Doctoral dissertation, University of Jos, Nigeria. Retrieved from https://irepos.unijos.edu.ng/jspui/bitstream/123456789/899/1/JURMANG%20PGKOLO .pdf

Junthong, N, Netpradit, S., & Boonlue, S. (2020). The Designation of Geometry Teaching Tools for Visually-Impaired Students Using Plastic Geoboards Created by 3D Printing. The New Educational Review 59(1), 87-102. https://doi.org/10.15804/tner.20.59.1.07

Kohanová, I. (2006). Teaching mathematics to non-sighted students: with specialization in solid geometry. Doctoral thesis, Comenius University Bratislava. Retrieved from https://sites.unipa.it/grim/Thesis_kohanova_Iveta_07.pdf

Kuswara, R. D., Almazroei, E. E., & Isnawan, M. G. (2024). Online didactical design for subtraction fractions: A didactical design research through lesson study activities. International Journal of Didactic Mathematics in Distance Education, 1(1), 37-46. https://doi.org/10.33830/ijdmde.v1i1.7772

Leton, S. I., Wahyudin, & Dosinaenget, W. B. D. (2019). Hearing-impaired students’ ability to solve the problem in math. Journal of Physics: Conference Series, 1321, 1-4. https://doi.org/10.1088/1742-6596/1321/2/022111

Leton, S. I., Jagom, Y. O., & Dosinaeng, W. B. N. (2020). Math study habits on deaf learners. In Journal of Physics: Conference Series (Vol. 1657, No. 1, p. 012018). IOP Publishing.

Madungwe, L. S. (2020). Opportunity to learn mathematics: the case of visually impaired secondary school students in Zimbabwe. Doctor of Education, University of South Africa. Available at https://uir.unisa.ac.za/bitstream/handle/10500/25011/thesis_madungwe_ls.pdf?sequence=1&isAllowed=y.

Ministry of Education. (2019). New Curriculum for Upper Primary (Basic 4-6). Accra: National Council for Curriculum and Assessment (NaCCA). Retrieved from https://nacca.gov.gh/wp-content/uploads/2019/04/MATHS-UPPER-PRIMARY-B4B6.pdf

Pritchard, C. K., & Lamb, J. H. (2012). Teaching Geometry to Visually Impaired Students. The Mathematics Teacher, 106(1), 22-27. https://doi.org/10.5951/mathteacher.106.1.0022

Sibiya, M. R., & Mudaly, V. (2018). The effects of the geoboard on learner understanding of geometry theorems. International Journal of Sciences and Research, 74(1), 90-98. https://doi.org/10.21506/j.ponte.2018.11.8

Sorathia, K. (2021). Geometric Drawing by Students with Visual Impairment and Blindness. CHI’21 Workshop Disability Design and Innovation in Low-resource Settings: Addressing Inequality through HCI, May 8-13, 2021, Yokohama, Japan. Retrieved from https://cdn.disabilityinnovation.com/uploads/documents/CHIWorkshop_submission_6.pdf?1616668128

Sudirman, S., Kusumah, Y. S., Martadiputra, B. A. P., & Runisah, R. (2023). Epistemological Obstacle in 3D Geometry Thinking: Representation, Spatial Structuring, and Measurement. Pegem Journal of Education and Instruction, 13(4), 292-301. https://doi.org/10.47750/pegegog.13.04.34

Sudirman, S., Rodríguez-Nieto, C. A., Dhlamini, Z. B., Chauhan, A. S., Baltaeva, U., Abubakar, A., ... & Andriani, M. (2023). Ways of thinking 3D geometry: exploratory case study in junior high school students. Polyhedron International Journal in Mathematics Education, 1(1), 15-34. https://doi.org/10.59965/pijme.v1i1.5

Zahra, A. Budayasa, I. & Juniati, D (2018). The blind pupil’s interpretation of two-dimensional shapes in geometry. Journal of Physics, Conf. Series 947, 1–6. https://doi.org/10.1088/1742–6596/947/1/012055.

Downloads

Published

2024-08-25

How to Cite

Ali, C. A., Asemani, E., & Tangkur, M. (2024). Pupils’ didactical Mileu in an inclusive discourse in basic triangle geometry. International Journal of Didactic Mathematics in Distance Education, 1(2), 70–82. https://doi.org/10.33830/ijdmde.v1i2.9523

Issue

Section

Articles

Similar Articles

You may also start an advanced similarity search for this article.