9/2020 vol. 16
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RESEARCH PAPER
Exploring Geometry Teaching Model: Polygon Pieces and Dictionary Tools for the Model
Shakespear Maliketi Chiphambo 1
,
 
Nosisi Nellie Feza 1
 
 
 
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Walter Sisulu University, SOUTH AFRICA
 
 
Publication date: 2020-06-22
 
 
EURASIA J. Math., Sci Tech. Ed 2020;16(9):em1874
DOI: https://doi.org/10.29333/ejmste/8358
 
 
Article (PDF)
References (32)
 
KEYWORDS
conceptual understanding
dictionary
polygon pieces
properties of triangles
unpack
meaning
 
ABSTRACT
Research reveals that many mathematics teachers find it difficult to stimulate learners' interest in learning geometry. One major reason suggested is that geometric concepts are not well conceptualised and comprehended by both learners and teachers. The study explored learners’ views on how polygon pieces and dictionary mediate learning of geometry. Nine Grade 8 learners were purposely selected from the cohort of 56 learners based on the diagnostic test results. By employing a qualitative approach through exploration data were gathered from semi- structured interviews and document analysis was implemented and reported in themes. The study found that polygon pieces with mathematics dictionary enhance learners’ learning of geometry through geometric inquiry. Polygon pieces assisted learners with geometric conceptualisation through cutting, constructing and measuring of angles and line segments. The dictionary enhanced learners’ geometric vocabulary by transferring informal vocabulary. We recommend mathematics teachers to integrate polygon pieces assisted by mathematics dictionary in the teaching and learning of mathematics.
REFERENCES (32)
1.
Alex, J. K. (2012). The evaluation of an instructional framework using the van Hiele levels for learning and teaching geometry: A case study in five rural senior secondary schools. Unpublished doctoral dissertation, Walter Sisulu University, Mthatha, South Africa.
Google Scholar
 
 
2.
Alex, J. K., & Mammen, K. J. (2014). An assessment of the readiness of Grade 10 learners for geometry in the Context of Curriculum and Assessment Policy Statement (CAPS) Expectation. International Journal of Education Science, 7(1), 29-39. https://doi.org/10.1080/097511....
CrossRef
 
Google Scholar
 
 
3.
Alex, J. K., & Mammen, K. J. (2016). Lessons learnt from employing van Hiele theory based instruction in senior school geometry classroom. Eurasia Journal of Mathematics, Science & Technology Education, 12(8), 2223-2236. https://doi.org/10.12973/euras....
CrossRef
 
Google Scholar
 
 
4.
Blanco, L. J. (2001). Errors in the Teaching/Learning of the Basic Concepts of Geometry. International Journal for Mathematics Teaching and Learning, pp. 1-11. Retrieved from http://www.cimt.org.uk/journal....
Google Scholar
 
 
5.
Bloor, M., & Wood, F. (2006). Keywords in Qualitative Methods: A Vocabulary of Research Concepts. London: Sage. https://doi.org/10.4135/978184....
CrossRef
 
Google Scholar
 
 
6.
Bowen, G. A. (2009). Document Analysis as a Qualitative Research Method. Qualitative Research Journal, 9(2), 27-40. https://doi.org/10.3316/QRJ090....
CrossRef
 
Google Scholar
 
 
7.
Bussi, M. G. B., & Frank, A. B. (2015). Geometry in early years: sowing seeds for a mathematical definition of squares and rectangles. ZDM Mathematics Education, 47(3), 391-405. https://doi.org/10.1007/s11858....
CrossRef
 
Google Scholar
 
 
8.
Clements, D. H., & Battista, M. T. (1992). Geometry and spatial reasoning. In D. A. Gouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 420-464). New York, NY: MacMillan.
Google Scholar
 
 
9.
Clements, D. H., & Sarama, J. (2011). Early childhood teacher education: The case of geometry. Journal of Mathematics Teacher Education, 14(2), 133-148. https://doi.org/10.1007/s10857....
CrossRef
 
Google Scholar
 
 
10.
Corbin, J., & Strauss, A. (2008). Basics of qualitative research: Techniques and procedures for developing grounded theory (3rd ed.). Thousand Oaks, CA: Sage. https://doi.org/10.4135/978145....
CrossRef
 
Google Scholar
 
 
11.
Correa, C. A., Perry, M., Sims, L. M., Miller, K. F., & Fang, G. (2008). Connected and culturally embedded beliefs: Chinese and US teachers talk about how their learners best learn mathematics. Teaching and Teacher Education, 24, 140-153. https://doi.org/10.1016/j.tate....
CrossRef
 
Google Scholar
 
 
12.
Fraenkel, J. R., & Wallen, N. E. (2006). How to Design and Evaluate Research in Education (6th ed.). New York, NY: McGraw-Hill.
Google Scholar
 
 
13.
Fujita, T., & Keith, J. (2003). The place of experimental tasks in geometry teaching: learning from the textbooks design of the early 20th Century. Research in Mathematics Education, 5(1), 47–62. https://doi.org/10.1080/147948....
CrossRef
 
Google Scholar
 
 
14.
Glaser, B. G., & Strauss, A. L. (1967). The discovery of grounded theory: Strategies for qualitative research. Chicago: Aldine. https://doi.org/10.1097/000061....
CrossRef
 
Google Scholar
 
 
15.
Hwang, W. Y., & Hu, S. S. (2013). Analysis of peer learning behaviours using multiple representations in virtual reality and their impacts on geometry problem solving. Computers & Education, 62(0), 308-319. https://doi.org/10.1016/j.comp....
CrossRef
 
Google Scholar
 
 
16.
Lacey, A., & Luff, D. (2007). Qualitative data analysis. The NIHR RDS for the East Midlands / Yorkshire & the Humber.
Google Scholar
 
 
17.
Laski, E. V., Jor’dan, J. R., Daoust, C., & Murray, A. K. (2015). What makes mathematics manipulatives effective? Lessons from Cognitive Science and Montessori Education, 1-8. https://doi.org/10.1177/215824....
CrossRef
 
Google Scholar
 
 
18.
LeCompte, M., & Goetz, J. P. (1982). Problems of reliability and validity in ethnographic research, Review of Educational Research, 52(1), 31-60. https://doi.org/10.3102/003465....
CrossRef
 
Google Scholar
 
 
19.
Lewis, J., & Ritchie, J. (2003). Generalising from qualitative research. In J. Ritchie & J. Lewis (Eds.), Qualitative Research Practice: A Guide for Social Science Learners and Researchers (pp. 263-286). London: Sage.
Google Scholar
 
 
20.
Luria, A. R. (1976). Cognitive development: Its cultural and social foundations. Cambridge, MA: Harvard University Press.
Google Scholar
 
 
21.
Marshall, M. N. (1996). Sampling for qualitative research. Family Practice, 13, 522-525. https://doi.org/10.1093/fampra....
CrossRef
 
Google Scholar
 
 
22.
Morin, J. E., & Franks, D, J. (2009) Why Do Some Children Have Difficulty Learning Mathematics? Looking at Language for Answers. Preventing School Failure: Alternative Education for Children and Youth, 54(2), 111-118. https://doi.org/10.1080/104598....
CrossRef
 
Google Scholar
 
 
23.
Moss, J. Hawes Z, Naqvi S., & Caswell, B. (2015). Adapting Japanese Lesson Study to enhance the teaching and learning of geometry and spatial reasoning in early years classrooms: a case study. ZDM Mathematics Education, 47, 377-390. https://doi.org/10.1007/s11858....
CrossRef
 
Google Scholar
 
 
24.
Puchner, L., Taylor, A., O’Donnell, B., & Fick, K. (2008). Teacher learning and mathematics manipulatives: A collective case study about teacher use of manipulatives in elementary and middle school mathematics lessons. School Science and Mathematics, 108, 313-325. https://doi.org/10.1111/j.1949....
CrossRef
 
Google Scholar
 
 
25.
Reddy, V., Visser, M., Winnaar, L., Arends, F., Juan, A., Prinsloo, C. H., & Isdale, K. (2016). TIMSS 2015: Highlights of Mathematics and Science Achievement of Grade 9 South African Learners. Human Sciences Research Council.
Google Scholar
 
 
26.
Riccomini, P. J., Smith, G. W., Hughes, E. M., & Fries K. M. (2015). The Language of Mathematics: The Importance of Teaching and Learning Mathematical Vocabulary. Reading & Writing Quarterly, 31(3), 235-252. https://doi.org/10.1080/105735....
CrossRef
 
Google Scholar
 
 
27.
Shenton, A. K. (2004). Strategies for ensuring trustworthiness in qualitative research projects. Education for Information 22, 63-75. https://doi.org/10.3233/EFI-20....
CrossRef
 
Google Scholar
 
 
28.
Steele, M. D. (2013). Exploring the mathematical knowledge for teaching geometry and measurement through the design and use of rich assessment tasks. Journal of Mathematics Teacher Education, 16, 245-268. https://doi.org/10.1007/s10857....
CrossRef
 
Google Scholar
 
 
29.
Van den Heuvel‑Panhuizen, M., Elia, I., & Robitzsch, A. (2015). Kindergartners’ performance in two types of imaginary perspective‑taking. ZDM Mathematics Education, 47, 345-362. https://doi.org/10.1007/s11858....
CrossRef
 
Google Scholar
 
 
30.
Van Hiele, P. M. (1999). Developing geometric thinking through activities that begin with play. Teaching children mathematics, 5(6), 310-317.
Google Scholar
 
 
31.
Van Teijlingen, E. R., & Hundley, V. (2001). The importance of pilot studies. In N. Gilbert (Ed.) Social Research update, University of Surrey.
Google Scholar
 
 
32.
Wiersma, W. (1991). Research Methods in Education: An Introduction, Boston: Allyn and Bacon.
Google Scholar
 
 
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