The influence of different teaching and learning strategies in mathematics – a case study

Authors

DOI:

https://doi.org/10.17159/ijtl.v18i1.17174

Keywords:

teaching strategy, learning strategy, mathematics class interaction, student-centred strategy, university lecturers

Abstract

This article is a case study that examines how the different teaching and learning strategies influence mathematical knowledge acquisition at university. The research hinged on how mathematics lecturers at universities teach and how students acquire the disseminated knowledge. Research stresses that most lecturers have teacher-centred teaching approaches and mathematics teaching is with minimal student participation. Research further asserts that teaching approaches that emphasise student participation is critical in enhancing effective classroom interaction. This means that, as students’ learning strategy is dominantly a participatory and collaborative one, lecturers are challenged to create a learning-as participation environment for effective mathematics classroom interaction. The article reports a study that was conducted among university students and lecturers in a mathematics course at a South African university. The findings were that most lecturers at the university use traditional non-interactive teaching approaches that create passive environments in contrast with the predominant participative learning strategies of most students.

References

Abdulwahed, M., Jaworski, B. & Crawford, A. (2012) Innovative approaches to teaching mathematics in higher education: A review and critique. Nordic Studies in Mathematics Education 17(2) pp.49-68.

Ashwin, P. (2012) Analysing teaching-learning interactions in higher education: Accounting for structure and agency. Bloomsbury Publishing.

Artemeva, N. & Fox, J. (2011) The writing’s on the board: The global and the local in teaching undergraduate mathematics through chalk talk. Written Communication 28(4) pp.345-379. DOI: https://doi.org/10.1177/0741088311419630

Behnam, B. & Bayazidi, M. (2013) The relationship between personality types and teaching styles in Iranian adult TEFL context. Global Journal of Foreign Language Teaching 2(2) pp.21-32.

Bouta, H. and Retalis, S. (2013) Enhancing primary school children collaborative learning experiences in maths via a 3D virtual environment. Education and Information Technologies 18(4) pp.571-596, doi:10.1007/s10639-012-9198-8 DOI: https://doi.org/10.1007/s10639-012-9198-8

Carpenter, T.P., Franke, M.L. & Levi, L. (2003) Thinking mathematically. Portsmouth, NH: Heinemann.

Chambers, J., Phillips, B., Burr, M. & Xiao, D. (2016) Effects of meditation on stress levels of physical therapist students. Journal of Physical Therapy Education 30(3) pp.33-39. DOI: https://doi.org/10.1097/00001416-201630030-00007

Chang, J.M. (2011) A practical approach to inquiry-based learning in linear algebra. International Journal of Mathematical Education in Science and Technology 42(2) pp.245-259, doi: 10.1080/0020739X.2010.519795. DOI: https://doi.org/10.1080/0020739X.2010.519795

Cheng, H.Y. & Zhang, S.Q. (2017) Examining the relationship between holistic/analytic style and classroom learning behaviors of high school students. European journal of psychology of education 32(2) pp.271-288, doi: 10.1007/s10212-016-0289-6 DOI: https://doi.org/10.1007/s10212-016-0289-6

Chowdhury, R.K. (2015) Learning and teaching style assessment for improving project-based learning of engineering students: A case of United Arab Emirates University. Australasian Journal of Engineering Education 20(1) pp.81-94. DOI: https://doi.org/10.7158/D13-014.2015.20.1

Coffield, F., Moseley, D., Hall, E., Ecclestone, K., Coffield, F., Moseley, D., & Ecclestone, K. (2004) Learning styles and pedagogy in post-16 learning: A systematic and critical review. London. Learning and Skill Research Centre.

Corbin, J.M. & Strauss, A. (1990) Grounded theory research: Procedures, canons, and evaluative criteria. Qualitative sociology 13(1) pp.3-21. DOI: https://doi.org/10.1007/BF00988593

Cotton, K. (2000) The schooling practices that matter most. Association for Supervision and Curriculum Development, Alexandria. http://www.ascd.org/.

Creswell, J.W. & Clark, V.L.P. (2017) Designing and conducting mixed methods research. New York: Sage publications.

Davis, B. (1997) Listening for differences: An evolving conception of mathematics teaching. Journal for research in mathematics education 28(3) pp.355-376. DOI: https://doi.org/10.5951/jresematheduc.28.3.0355

Diaz, D.P. & Cartnal, R.B. (1999) Students' learning styles in two classes: Online distance learning and equivalent on-campus. College teaching 47(4) pp.130-135. DOI: https://doi.org/10.1080/87567559909595802

Felder, R.M. & Silverman, L.K. (1988) Learning and teaching styles in engineering education. Engineering education 78(7) pp.674-681.

Friesen, N. 2014. A brief history of the lecture: A multi-media analysis. MedienPädagogik: Zeitschrift für Theorie und Praxis der Medienbildung 24 pp.136-153. https://doi.org/10.21240/mpaed/24/2014.09.30.X DOI: https://doi.org/10.21240/mpaed/24/2014.09.30.X

Frenzel, A.C., Pekrun, R. & Goetz, T. (2007) Perceived learning environment and students' emotional experiences: A multilevel analysis of mathematics classrooms. Learning and Instruction 17(5) pp.478-493. DOI: https://doi.org/10.1016/j.learninstruc.2007.09.001

Gilbert, M.C., Musu-Gillette, L.E., Woolley, M.E., Karabenick, S.A., Strutchens, M.E. & Martin, W.G. (2014) Student perceptions of the classroom environment: Relations to motivation and achievement in mathematics. Learning Environments Research 17(2) pp.287-304. DOI: https://doi.org/10.1007/s10984-013-9151-9

Goos, M. (2004) Learning mathematics in a classroom community of inquiry. Journal for research in mathematics education 35(4) pp.258-291. DOI: https://doi.org/10.2307/30034810

Grasha, A.F. (1996) Teaching with style: A practical guide to enhancing learning by understanding teaching and learning styles. Pittsburgh, PA: Alliance publishers.

Gresalfi, M.S. (2009) Taking up opportunities to learn: Constructing dispositions in mathematics classrooms. The Journal of the learning sciences 18(3) pp.327-369, doi: 10.1080/10508400903013470 DOI: https://doi.org/10.1080/10508400903013470

Gresalfi, M., Martin, T., Hand, V. & Greeno, J. (2009) Constructing competence: An analysis of student participation in the activity systems of mathematics classrooms. Educational studies in mathematics 70(1) pp.49-70, doi: 10.1007/s10649-008-9141-5 DOI: https://doi.org/10.1007/s10649-008-9141-5

Heimlich, J.E. & Norland, E. (1994) Developing Teaching Style in Adult Education. The Jossey-Bass Higher and Adult Education Series. San Francisco: Jossey-Bass.

Henson, K.T. (2003) Foundations for learner-centered education: A knowledge base. Education 124(1) pp.5-16.

Iurea, C., Neacsu, I., Safta, C.G. & Suditu, M. (2011) The study of the relation between the teaching methods and the learning styles – The impact upon the students’ academic conduct. Procedia-Social and Behavioral Sciences 11 pp.256-260. DOI: https://doi.org/10.1016/j.sbspro.2011.01.072

Johnson, A., Kimball, R., Melendez, B., Myers, L., Rhea, K. & Travis, B. (2009) Breaking with tradition: Preparing faculty to teach in a student-centered or problem-solving environment. Primus 19(2) pp.146-160. DOI: https://doi.org/10.1080/10511970802409164

Johnson, E.M. & Larsen, S.P. (2012) Teacher listening: The role of knowledge of content and students. The Journal of Mathematical Behavior 31(1) pp.117-129. DOI: https://doi.org/10.1016/j.jmathb.2011.07.003

Kolb, D.A. (1984) Experience as the source of learning and development. Upper Sadle River: Prentice Hall.

Könings, K.D., Seidel, T. & Van Merriënboer, J.J. (2014) Participatory design of learning environments: integrating perspectives of students, teachers, and designers. Instructional Science 42(1) pp.1-9, doi:10.1007/s11251-013-9305-2 DOI: https://doi.org/10.1007/s11251-013-9305-2

Langer-Osuna, J.M. (2016) The social construction of authority among peers and its implications for collaborative mathematics problem solving. Mathematical Thinking and Learning 18(2) pp.107-124, doi:10.1080/10986065.2016.1148529 DOI: https://doi.org/10.1080/10986065.2016.1148529

Lindholm, J.A. & Astin, H.S. (2008) Spirituality and pedagogy: Faculty's spirituality and use of studentcentered approaches to undergraduate teaching. The Review of Higher Education 31(2) pp.185-207. DOI: https://doi.org/10.1353/rhe.2007.0077

Luneta, K. (2014) Understanding student teachers’ needs in geometry at foundation phase’. South African Journal of Childhood Education 4(3) pp.71-86. DOI: https://doi.org/10.4102/sajce.v4i3.228

Luneta, K. (2012) Designing continuous professional development programmes for teachers: A literature review. Africa Education Review 9(2) pp.360-379, doi: 10.1080/18146627.2012.722395 DOI: https://doi.org/10.1080/18146627.2012.722395

Matthews, K.E., Adams, P. & Goos, M. (2009) Putting it into perspective: mathematics in the undergraduate science curriculum. International Journal of Mathematical Education in Science and Technology 40(7) pp.891-902. DOI: https://doi.org/10.1080/00207390903199244

McCaskey, S.J. (2010) Social interaction learning styles in on and off campus environments. Online Journal for Workforce Education and Development 2(2) p.5. https://opensiuc.lib.siu.edu/ojwed/vol2/iss2/5

Mesa, V., Celis, S. & Lande, E. (2014) Teaching approaches of community college mathematics faculty: Do they relate to classroom practices? American Educational Research Journal 51(1) pp.117-151. DOI: https://doi.org/10.3102/0002831213505759

Mokhtar, F.S., Yusof, Z.M. & Misiran, M. (2012) Factors affecting students' performance in Mathematics. Journal of Applied Sciences Research 8(8) pp.4133-4137.

Mousoulides, N. & Philippou, G. (2005, July) Students’ motivational beliefs, self-regulation strategies and mathematics achievement. In Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education 3 pp.321-328.

Pallant, J. (2020) SPSS survival manual: A step by step guide to data analysis using IBM SPSS. McGrawhill education (UK). DOI: https://doi.org/10.4324/9781003117407

Parsons, R.D. & Brown, K.S. (2002) Teacher as reflective practitioner and action researcher. Belmont, CA: Wadsworth/Thomson Learning.

Rahimi, M. & Nabilou, Z. (2011) Iranian EFL teachers’ effectiveness of instructional behavior in public and private high schools. Asia Pacific Education Review 12(1) pp.67-78. DOI: https://doi.org/10.1007/s12564-010-9111-3

Riechmann, S.W. & Grasha, A.F. (1974) A rational approach to developing and assessing the construct validity of a student learning style scales instrument. The Journal of Psychology 87(2) pp.213-223. DOI: https://doi.org/10.1080/00223980.1974.9915693

Rovai, A.P. (2001) Building classroom community at a distance: A case study. Educational technology research and development 49(4) pp.33-48. DOI: https://doi.org/10.1007/BF02504946

Rubinstein, G. (2005) The big five among male and female students of different faculties. Personality and Individual Differences 38(7) pp.1495-1503. DOI: https://doi.org/10.1016/j.paid.2004.09.012

Rudduck, J. & McIntyre, D. (2007) Improving learning through consulting pupils. Routledge. London. DOI: https://doi.org/10.4324/9780203935323

Schifter, D. (1998) Learning mathematics for teaching: From a teachers' seminar to the classroom. Journal of mathematics teacher education 1(1) pp.55-87. DOI: https://doi.org/10.1023/A:1009911200478

Schmidt, H.G. & Moust, J.H. (2000) Factors affecting small-group tutorial learning: A review of research. Problem-based learning: A research perspective on learning interactions pp.19-52.

Schoenfeld, A.H., & Floden, R.E. (2014) The Algebra Teaching Study and Mathematics Assessment Project. The TRU math scoring rubric.

Sfard, A. (2001) There is more to discourse than meets the ears: Looking at thinking as communicating to learn more about mathematical learning. Educational studies in mathematics 46(1) pp.13-57 DOI: https://doi.org/10.1007/0-306-48085-9_1

Sherin M.G. (2002) When teaching becomes learning. Cognition and instruction 20(2) pp.119-150. DOI: https://doi.org/10.1207/S1532690XCI2002_1

Speer, N.M. & Wagner, J.F. (2009) Knowledge needed by a teacher to provide analytic scaffolding during undergraduate mathematics classroom discussions. Journal for Research in Mathematics Education 40(5) pp.530-562. DOI: https://doi.org/10.5951/jresematheduc.40.5.0530

Stein, C.A. (2007) Let's talk: Promoting mathematical discourse in the classroom. The Mathematics Teacher 101(4) pp.285-289. DOI: https://doi.org/10.5951/MT.101.4.0285

Steinberg, R.M., Empson, S.B. & Carpenter, T.P. (2004) Inquiry into children's mathematical thinking as a means to teacher change. Journal of Mathematics Teacher Education 7(3) pp.237-267. DOI: https://doi.org/10.1023/B:JMTE.0000033083.04005.d3

Skemp, R. (1986) The psychology of mathematics learning. Suffolk: Penguin Books

Tait-McCutcheon, S.L. (2008, June) Self-efficacy in mathematics: Affective, cognitive, and conative domains of functioning. In Proceedings of the 31st annual conference of the Mathematics Education Group of Australasia pp.507-513.

Truxaw, M.P. & DeFranco, T.C. (2007) Lessons from Mr. Larson: An inductive model of teaching for orchestrating discourse. The Mathematics Teacher 101(4) pp.268-272. DOI: https://doi.org/10.5951/MT.101.4.0268

Turner, J.C., Meyer, D.K., Cox, K.E., Logan, C., DiCintio, M. & Thomas, C.T. (1998) Creating contexts for involvement in mathematics. Journal of educational psychology 90(4) p.730. DOI: https://doi.org/10.1037/0022-0663.90.4.730

Thompson, A. (1984) The relationship of teachers' conceptions of mathematics and mathematics teaching to instructional practice. Educational studies in mathematics 15(2) pp.105-127. DOI: https://doi.org/10.1007/BF00305892

Wachira, P., Pourdavood, R.G. & Skitzki, R. (2013) Mathematics teacher’s role in promoting classroom discourse. International Journal for Mathematics Teaching and Learning 13(1) pp.1-38.

Wang, W., Yin, H., Lu, G. & Zhang, Q. (2017) Environment matters: Exploring the relationships between the classroom environment and college students’ affect in mathematics learning in China. Asia Pacific Education Review 18(3) pp.321-333. DOI: https://doi.org/10.1007/s12564-017-9478-5

White, D.Y. (2003) Promoting productive mathematical classroom discourse with diverse students. The Journal of Mathematical Behavior 22(1) pp.37-53. DOI: https://doi.org/10.1016/S0732-3123(03)00003-8

Wong, N.Y., Ding, R. & Zhang, Q.P. (2016) From classroom environment to conception of mathematics. In Eds. The psychology of Asian learners. Springer, Singapore, pp.541-557. DOI: https://doi.org/10.1007/978-981-287-576-1_33

Yates, S.M. (2002) The influence of optimism and pessimism on student achievement in mathematics. Mathematics Education Research Journal 14(1) pp.4-15. DOI: https://doi.org/10.1007/BF03217113

Yilmaz, H. and Cavas, P.H. (2008) The effect of teaching practice on pre-service elementary teachers' science teaching efficacy and classroom management beliefs. Eurasia Journal of Mathematics, Science and Technology Education 4(1) pp.45-54 DOI: https://doi.org/10.12973/ejmste/75305

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31-05-2023

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The influence of different teaching and learning strategies in mathematics – a case study. (2023). The Independent Journal of Teaching and Learning, 18(1), 98-117. https://doi.org/10.17159/ijtl.v18i1.17174

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