Mathematics student teachers external supervisors beliefs about mathematics: ODeL environment in focus

Authors

  • Masilo France Machaba University of South Africa, Pretoria, South Africa
  • Terungwa James Age UNIVERSITY OF SOUTH AFRICA,PRETORIA http://orcid.org/0000-0001-7444-2213
  • Puleng Edwin Rankweteke University of South Africa, Pretoria, South Africa

DOI:

https://doi.org/10.58524/jasme.v4i2.411

Keywords:

Beliefs, Mathematics, External supervisors, Instrumental, Platonist, Problem-solving.

Abstract

Background: There are diverse beliefs regarding the nature of mathematics, which directly influence the teaching and learning approaches adopted in mathematics education. These beliefs range from mathematics being a collection of facts, rules, and skills, to viewing it as a dynamic and ever-evolving discipline.
Aim: This study investigates the beliefs of mathematics student teachers external supervisors regarding the nature of mathematics, learning mathematics, mathematics achievement, and their preparedness for teaching mathematics within an Open Distance e-Learning (ODeL) environment to address challenges and improve the effectiveness of Teaching Practice (TP) supervision.
Method: A quantitative survey design was employed, utilizing a structured questionnaire adapted from the Firstmath Project. Data were collected from 43 respondents out of a population of 76 mathematics student teachers external supervisors, selected through random sampling across six provinces in South Africa. The analysis framework was guided by Ernest, three conceptions of mathematics: problem-solving, Platonist, and Instrumental views. Descriptive statistics were used to analyze the data.
Results: The findings revealed a significant gap in external supervisors understanding of the mathematics classroom as a dynamic environment for teaching and learning. Many supervisors lacked exposure to contemporary pedagogical strategies tailored for the ODeL context.
Conclusion: The study recommends the implementation of developmental programs aimed at equipping mathematics external supervisors with innovative approaches to teaching and learning mathematics. Such initiatives would enhance their readiness to support student teachers effectively in an ODeL environment.

Author Biography

  • Terungwa James Age, UNIVERSITY OF SOUTH AFRICA,PRETORIA
    POSTDOCTORAL RESEARCH FELLOW, DEPARTMENT OF MATHEMATICS EDUCATION

References

Álvarez, C. de la P., Fernádez-Cézar, R., & Solano-Pinto, N. (2021). Attitude Toward Mathematics of Future Teachers: How Important Are Creativity and Cognitive Flexibility? Frontiers in Psychology, 12. https://doi.org/10.3389/fpsyg.2021.713941

Anggraeni, N. F., Rahayu, S., Fajaroh, F., & Effendy, E. (2022). The Effectiveness of the EIGER Learning Strategy in Promoting Students’ Conceptual and Algorithmic Understanding of Stoichiometry. International Journal of Instruction, 15(4). https://doi.org/10.29333/iji.2022.1543a

Beswick, K. (2008). Influencing Teachers’ Beliefs about Teaching Mathematics for Numeracy to Students with Mathematics Learning Difficulties. Mathematics Teacher Education and Development, 9, 3–20.

Beswick, K. (2012). Teachers’ beliefs about school mathematics and mathematicians’ mathematics and their relationship to practice. Educational Studies in Mathematics, 79(1), 127–147. https://doi.org/10.1007/s10649-011-9333-2

Charalambides, M., Panaoura, R., Tsolaki, E., & Pericleous, S. (2023). First Year Engineering Students’ Difficulties with Math Courses- What Is the Starting Point for Academic Teachers? Education Sciences, 13(8). https://doi.org/10.3390/educsci13080835

Chowdhuri, M. N. (2022). Exploring modes of engagement within reform-oriented primary mathematics textbooks in India. Educational Studies in Mathematics, 110(2). https://doi.org/10.1007/s10649-021-10135-z

Desai, A. J. (2012). Problems of teacher education in India. International Journal, 1(1), 54–58.

Ernest, P. (1989). The impact of beliefs on the teaching of mathematics. Mathematics Teaching: The State of the Art, 249, 254.

Erşen, Z. B., Akın, N. P., & Karakuş, F. (2021). Investigation of Prospective Preschool Teachers’ Beliefs about Mathematics Teaching and Learning. Mimbar Sekolah Dasar, 8(2). https://doi.org/10.53400/mimbar-sd.v8i2.33486

Genc, M., & Erbas, A. K. (2019). Secondary mathematics teachers’ conceptions of mathematical literacy. International Journal of Education in Mathematics, Science and Technology, 7(3), 222–237.

Gomides, M. R. de A., Starling-Alves, I., Paiva, G. M., Caldeira, L. da S., Aichinger, A. L. P. N., Carvalho, M. R., Bahnmueller, J., Moeller, K., Lopes-Silva, J. B., & Haase, V. G. (2020). The quandary of diagnosing mathematical difficulties in a generally low performing population. Scite.Ai. https://doi.org/10.31234/osf.io/5dmhs

Gumbo, M. T., & Gasa, V. (2023). Postgraduate supervision support in Open Distance and E-learning: Supervisors’ and key stakeholders’ views. South African Journal of Higher Education, 37(4). https://doi.org/10.20853/37-4-5318

Hendriyanto, A., Suryadi, D., Juandi, D., Dahlan, J. A., Hidayat, R., Wardat, Y., Sahara, S., & Muhaimin, L. H. (2024). The didactic phenomenon: Deciphering students’ learning obstacles in set theory. Journal on Mathematics Education, 15(2). https://doi.org/10.22342/jme.v15i2.pp517-544

Hoch, E., Scheiter, K., Stalbovs, K., & Gerjets, P. (2021). The intention was good: How promoting strategy use does not improve multimedia learning for secondary students. British Journal of Educational Psychology, 91(4). https://doi.org/10.1111/bjep.12417

Irez, S. (2007). Reflection-oriented qualitative approach in beliefs research. Eurasia Journal of Mathematics, Science and Technology Education, 3(1), 17–27. https://doi.org/10.12973/ejmste/75370

Jin, L., Banda, L. O. L., Banda, J. T., & Hui, Z. W. (2021). Learner support and professional development during teaching practice? Should supervisors be subject specialists or any lecturers? Research Square. https://doi.org/10.21203/rs.3.rs-1139179/v1

Johnson, A., Peter, G., & Kirimi, F. (2019). Implications of Academic Staff Participation in Teaching Practice on the Quality of Bachelor of Education Program in Selected Public Universities in Kenya. Journal of Education and Training, 6(1). https://doi.org/10.5296/jet.v6i1.14107

Jojo, Z. (2022). Engaging mathematics student-teachers in an Open Distance e-learning context. Perspectives in Education, 40(1). https://doi.org/10.18820/2519593x/pie.v40.i1.12

Kalchman, M. (2011). Preservice teachers’ changing conceptions about teaching mathematics in urban elementary classrooms. Journal of Urban Mathematics Education, 4(1), 75–97. https://doi.org/10.21423/jume-v4i1a97

Kasimatis, Κ., Moutsios-Rentzos, A., Matzakos, N., Rozou, V., & Kouloumpis, D. (2020). Effective mathematics teaching in tertiary technological education: The case of ASPETE. New Trends and Issues Proceedings on Humanities and Social Sciences, 7(1). https://doi.org/10.18844/prosoc.v7i1.4888

Kaur, T., & Prendergast, M. (2022). Students’ perceptions of mathematics writing and its impact on their enjoyment and self-confidence. Teaching Mathematics and Its Applications: An International Journal of the IMA, 41(1), 1–21. https://doi.org/10.1093/teamat/hrab008

Krause-Wichmann, T., Greisel, M., Wekerle, C., Kollar, I., & Stark, R. (2023). Promoting future teachers’ evidence-informed reasoning scripts: Effects of different forms of instruction after problem-solving. Frontiers in Education, 8. https://doi.org/10.3389/feduc.2023.1001523

Lämsä, J., Virtanen, A., Tynjälä, P., Maunuksela, J., & Koskinen, P. (2023). Exploring students’ perceptions of self-assessment in the context of problem solving in STEM. LUMAT: International Journal on Math, Science and Technology Education, 11(2). https://doi.org/10.31129/lumat.11.2.2028

Lehong, S., Biljon, J. van, & Sanders, I. (2019). Open-distance electronic learning environments: Supervisors’ views on usability. 2019 Conference on Information Communications Technology and Society (ICTAS). https://doi.org/10.1109/ictas.2019.8703605

Liu, Q., Du, X., Zhao, S., Liu, J., & Cai, J. (2019). The role of memorization in students’ self-reported mathematics learning: A large-scale study of Chinese eighth-grade students. Asia Pacific Education Review, 20(3), 361–374. https://doi.org/10.1007/s12564-019-09576-2

Mahmudi, A. (2021). An analysis of mathematics understanding of prospective student-teachers of mathematics. Jurnal Riset Pendidikan Matematika, 8(2). https://doi.org/10.21831/jrpm.v8i2.44422

Marshman, M., & Goos, M. (2018). The Beliefs about Mathematics, Its Teaching and Learning of Those Involved in Secondary Mathematics Pre-Service Teacher Education. Mathematics Education Research Group of Australasia. https://eric.ed.gov/?id=ED592540

McLeod, D. B., & McLeod, S. H. (2002). Synthesis — Beliefs and Mathematics Education: Implications for Learning, Teaching, and Research. Beliefs: A Hidden Variable in Mathematics Education? https://doi.org/10.1007/0-306-47958-3_7

Naphiyo, J. M., & Kamwamba, A. E. (2024). ODeL and Massification in Higher Education Institutions in Malawi: Challenges and Opportunities. International Journal of Research and Innovation in Social Science, VIII(VII). https://doi.org/10.47772/ijriss.2024.807066

Ng, S., Mylopoulos, M., Kangasjarvi, E., Boyd, V., Teles, S., Orsino, A., Lingard, L., & Phelan, S. (2020). Critically reflective practice and its sources: A qualitative exploration. Medical Education, 54(4). https://doi.org/10.1111/medu.14032

Ngoako, R. N. (2018). The beliefs of educators about effective mathematics classroom practice in Grade 6 [Master’s Thesis, University of Pretoria (South Africa)]. https://search.proquest.com/openview/da0cfd222195162e390dfa377f033e6e/1?pq-origsite=gscholar&cbl=2026366&diss=y

Nührenbörger, M., Wember, F. B., Wollenweber, T., Frischemeier, D., Korten, L., & Selter, C. (2024). Development of teachers’ attitudes and self-efficacy expectations for inclusive mathematics instruction: Effects of online and blended learning programs. Journal of Mathematics Teacher Education. https://doi.org/10.1007/s10857-024-09624-8

OECD. (2009). Teaching Practices, Teachers’ Beliefs and Attitudes (pp. 87–135). OECD. https://doi.org/10.1787/9789264068780-6-en

Peker, M., & Ulu, M. (2018). The Effect of Pre-service Mathematics Teachers’ Beliefs about Mathematics Teaching-Learning on Their Mathematics Teaching Anxiety. International Journal of Instruction, 11(3). https://doi.org/10.12973/iji.2018.11318a

Pelikan, E. R., Korlat, S., Reiter, J., Holzer, J., Mayerhofer, M., Schober, B., Spiel, C., Hamzallari, O., Uka, A., Chen, J., Välimäki, M., Puharić, Z., Anusionwu, K. E., Okocha, A. N., Zabrodskaja, A., Salmela-Aro, K., Käser, U., Schultze-Krumbholz, A., Wachs, S., … Lüftenegger, M. (2021). Distance learning in higher education during COVID-19: The role of basic psychological needs and intrinsic motivation for persistence and procrastination–a multi-country study. PLOS ONE, 16(10), e0257346. https://doi.org/10.1371/journal.pone.0257346

Plesec Gasparic, R., Glavan, M., Žveglič Mihelič, M., & Valenčič Zuljan, M. (2024). Effectiveness of Flipped Learning and Teaching: Knowledge Retention and Students’ Perceptions. Journal of Information Technology Education: Research, 23. https://doi.org/10.28945/5237

Shahali, E. H. M., & Halim, L. (2024). The Influence of Science Teachers’ Beliefs, Attitudes, Self-efficacy and School Context on Integrated STEM Teaching Practices. International Journal of Science and Mathematics Education, 22(4), 787–807. https://doi.org/10.1007/s10763-023-10403-9

Skemp, R. R. (2012). The psychology of learning mathematics: Expanded American edition. Routledge. https://doi.org/10.4324/9780203396391

Smith, C. (2014). Gender and participation in mathematics and further mathematics A-levels: A literature review for the Further Mathematics Support Programme. https://oro.open.ac.uk/50365/1/Gender%20Literature%20Review%20UCL%20IOE%20Final.pdf

Spiller, J., Clayton, S., Cragg, L., Johnson, S., Simms, V., & Gilmore, C. (2023). Higher level domain specific skills in mathematics; The relationship between algebra, geometry, executive function skills and mathematics achievement. Plos One, 18(11). https://doi.org/10.1371/journal.pone.0291796

Texas State University, & Gordon, S. (2023). Supervision, Teaching, and Learning in Successful Schools: A Hall of Mirrors. Journal of Educational Supervision, 6(3), 1–24. https://doi.org/10.31045/jes.6.3.1

Tian, Y., & Guo, Q. (2023). Supervisory Feedback on Chinese Doctoral Students’ Drafts of a Research Article. Education Sciences, 13(7). https://doi.org/10.3390/educsci13070731

Van Eycken, L., Demanet, J., & Van Houtte, M. (2024). Teachers’ efficacy, trust, and students’ features: Internal and external forces affecting teachers’ teachability perceptions. Social Psychology of Education, 27(3), 1387–1412. https://doi.org/10.1007/s11218-023-09865-0

Vela, M. K. G. A. de, & Pelayo, R. (2022). An Exploration of the Supervisory Perceptions, Practices and Teachers Assessment of Needs: A Basis for The Formulation of Supervisory Strategies in School. Academy of Educational Leadership Journal, 26(1), 1–15.

Yang, Y., Maeda, Y., & Gentry, M. (2024). The relationship between mathematics self-efficacy and mathematics achievement: Multilevel analysis with NAEP 2019. Large-Scale Assessments in Education, 12(1), 16. https://doi.org/10.1186/s40536-024-00204-z

Downloads

Published

2024-12-15