Adapting Bruner’s 3-Tier Theory to Improve Teacher Trainees’ Conceptual Knowledge for Teaching Integers at the Basic School
The focus of this action research was to adapt Bruner’s 3-tier theory to enhance conceptual knowledge of teacher trainees on integer operations..
- Pub. date: December 15, 2022
- Pages: 61-77
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The focus of this action research was to adapt Bruner’s 3-tier theory to enhance conceptual knowledge of teacher trainees on integer operations. It looks into how learners' conceptual knowledge of integer operations changes over time, as well as their attitudes toward using the 3-tier model. Eighty-two (82) teacher trainees, who were in their first year semester one of the 2020/2021 academic year were purposely selected for the study. Data was collected using test and semi-structured interviews. The study found that using Bruner’s 3-tier theory contributed to substantial gains in conceptual knowledge on integers operations among learners. It was also found that learners proffered positive compliments about the Concrete-Iconic-Symbolic (C-I-S) construct of lesson presentation and how it built their understanding to apply knowledge on integers operations. Learners also largely proffered positive image about C-I-S construct as it aroused interest and activated unmotivated learners. On these bases, the study concludes that lessons presentations should mirror C-I-S construct in order to alleviate learning difficulties encountered on integer operations. To do this, the study suggests that workshops on lesson presentation using C-I-S construct be organized for both subject tutors, mentors and lead mentors to re-equip their knowledge and to buy-in the idea among others.
Keywords: 3-tier, conceptual knowledge, integer operations, negative integer, teacher trainees.
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References
Aduko, E. A. (2016). Adapting scaffolding instructions to enhance pre-service teachers’ mathematical knowledge for teaching exponents at junior high school. Researchjournali’s Journal of Education, 4(12), 1-10. https://bit.ly/3Qc45yJ
Akayuure, P., Asiedu-Addo, S. K., & Alebna, V. (2016). Investigating the effect of origami instruction on pre-service teachers’ spatial ability and geometric knowledge for teaching. International Journal of Education in Mathematics, Science and Technology, 4(3), 198-209. http://doi.org/10.18404/ijemst.78424
Al-Mutawah, M. A., Thomas, R., Eid, R. A., Mahmoud, E. Y., & Fateel, M. J. (2019). Conceptual understanding, procedural knowledge and problem solving skills in mathematics: High school graduates work analysis and standpoints. International Journal of Education and Practice, 7(3), 258-273. https://doi.org/h6qs
Ampadu, E., & Danso, A. (2018). Constructivism in mathematics classrooms: Listening to Ghanaian teachers’ and learners’ views. Africa Education Review, 15(3), 49-71. http://doi.org/10.1080/18146627.2017.1340808
Blazar, D., & Kraft, M. A. (2017). Teacher and Teaching Effects on Students’ Attitudes and Behaviors. Educational evaluation and policy analysis, 39(1), 146–170. https://doi.org/10.3102/0162373716670260
Bobek, E., & Tversky, B. (2016). Creating visual explanations improves learning. Cognitive research: Principles and implications, 1(1), 27. https://doi.org/10.1186/s41235-016-0031-6
Bofferding, L. (2014). Negative Integer Understanding: Characterizing First Graders’ Mental Models. Journal for Research in Mathematics Education, 45(2), 194-245. https://doi.org/10.5951/jresematheduc.45.2.0194
Bruner, J. (1966). Toward a theory of instruction. Harvard University Press.
Bryman, A., & Bell, E. (2011). Business research methods (3rd ed.). Oxford.
Cabahug, A. J. (2012). The use of bruner’s modes of representations in teaching factoring second-degree polynomials. IAMURE: International Journal of Education, 1(2012), 85-103. https://doi.org/10.7718/IAMURE.IJE.V1I1.102
Cetin, H. (2019). Explaining the concept and operations of integer in primary school mathematics teaching: Opposite model sample. Universal Journal of Educational Research, 7(2), 365-370. http://doi.org/10.13189/ujer.2019.070208
Cohen, J. (1988). Statistical Power Analysis for the Behavioral Sciences (2nd ed.). Routledge
Collis, J., & Hussey, R. (2003). Business research. A practical guide for undergraduate and graduate learners (2nd ed.). Macmillan.
Currell, J. (2021). How to put Bruner’s key theories into teaching practice. Maths No Problem. https://bit.ly/3bh7gX5
Devault, G. (2020). Advantages and Disadvantages of Quantitative Research. The balance small business. https://bit.ly/3SdiYCu
Drummond, C. (2021). Deepening understanding of quadratics through Bruner’s theory of representation. Georgia College. https://bit.ly/3bm0rn5
Hughes, I. (2008). Action research in healthcare. In P. Reason & H. Bradbury (Eds.), The Sage handbook of action research: Participative inquiry and practice (2nd ed., pp. 381-393). Sage.
Jones, J., & Tiller, M. (2017). Using Concrete Manipulatives in Mathematical Instruction. Dimensions of Early Childhood, 45(1), 18-23. Retrieved 19 May 2022, from https://bit.ly/3BuirWP
Kamina, P., & Iyer, N. N. (2009). From concrete to abstract: Teaching for transfer of learning when using manipulatives. UCONN Library. https://bit.ly/3zHweZ1
Konyalioglu, S., Konyalioglu, A. C., Ipek, A. S., & Isek, A. (2005). The role of visualization approach on student’s conceptual learning. International Journal for Mathematics Teaching and Learning, 1(3), 1-10. https://bit.ly/3BLaLQv
Kubar, A. (2012). Pre-service elementary mathematics teachers’ knowledge about definitions of integers and their knowledge about elementary learners’ possible misconceptions and errors in describing integers [Unpublished master’s thesis]. Middle East Technical University.
Laerd Dissertation. (2022). Purposive sampling. https://bit.ly/3Q428nV
Lamb, L. C., & Thanheiser, E. (2006). Understanding integers: Using balloons and weights software. Algebraic Thinking, 2, 163-164. ResearchGate. https://bit.ly/3JmiIgv
Lincoln, Y. S., & Guba, E. G. (1985). Naturalistic Inquiry, Sage Publications.
Ministry of Education-Ghana. (n.d.). Four-Year B.Ed. course manual: Learning, teaching and applying number and algebra (semester 1). https://bit.ly/3Q5wkyN
Ministry of Education-Ghana. (2019). Mathematics curriculum for primary schools (basic 4 - 6). National Council for Curriculum and Assessment. https://bit.ly/3PO8FU1
Ministry of Education Science and Sports-Ghana (2007a). Teaching syllabus for mathematics (primary 1 – 6). https://bit.ly/3PXZmk2
Ministry of Education Science and Sports-Ghana (2007b). Teaching syllabus for mathematics (junior high school 1 – 3). https://bit.ly/3cWmG3v
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston.
Nowell, L. S., Norris, J. M., White, D. E., & Moules, N. J. (2017). Thematic Analysis. International Journal of Qualitative Methods, 16(1), 1-13. https://doi.org/10.1177/1609406917733847
QuestionPro. (2021). Research design: Definition, characteristics and types. https://bit.ly/2I4Vcam
Sahat, N., Tengah, K., & Prahmana, R. (2018). The teaching and learning of addition and subtraction of integers through manipulative in Brunei Darussalam. Journal Of Physics: Conference Series, 1088(012024), 1-7. https://doi.org/10.1088/1742-6596/1088/1/012024
Sherwood, E. (2005). Dr. Jerome Bruner speaks at Columbia Teachers College: “Educating a sense of the possible”. Education Update Online, XI(3), 30. https://bit.ly/3A3OJqz
Skemp, R. R. (1989). Mathematics in the primary school. Routledge.
Spang, K. E. (2009). Teaching algebra ideas to elementary school children: Robert B. Davis' introduction to early algebra [Unpublished doctoral dissertation]. The State University of New Jersey.
Watt, H. M. G., Hyde, J. S., Petersen, J., Morris, Z. A., Rozek, C. S., & Harackiewicz, J. M. (2017). Mathematics: A Critical filter for stem-related career choices? A longitudinal examination among Australian and U.S. Adolescents Sex Roles, 77, 254–271. https://doi.org/10.1007/s11199-016-0711-1