Pre-service mathematics teachers’ geometric reasoning skills with technology-integrated guided inquiry approach

Eshetu Wordofe Dereje; Atnafu Mulugeta; Woldemichael Mulugeta

doi:10.29333/pr/13332

Full Text (PDF)

Eshetu Wordofe Dereje ¹ ^* , Atnafu Mulugeta ¹ , Woldemichael Mulugeta ¹

More Detail

¹ Mathematics Education, Addis Ababa University, Addis Ababa, ETHIOPIA^* Corresponding Author

Abstract

This study was intended to examine the progress of the geometric reasoning skills of pre-service mathematics teachers (PSMTs) in the College of Teacher Education, Oromiya, Ethiopia. In the study, there were three different classes: EG1 (n=48), EG2 (n=38), and CG (n=30), where PSMTs in EG1 were treated with technology into guided inquiry-based learning (TGIBL), EG2 with guided inquiry-based learning (GIBL), and CG with a conventional learning approach. A geometric reasoning test was used to collect data. The data were analyzed using a one-way ANOVA and a paired sample t-test. The findings showed that the effect of using the GIBL model assisted by technology was higher when compared to the other two models. On the other hand, a paired t-test showed significant mean gains in reasoning skills in the TGIBL and GIBL approaches. Hence, technology must be integrated into teaching and learning geometry at CTEs to promote PSMTs’ geometric reasoning skills.

Keywords

plane geometry
reasoning skills
guided inquiry
technology
pre-service mathematics teacher

License

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

PEDAGOGICAL RES, Volume 8, Issue 4, October 2023, Article No: em0164

https://doi.org/10.29333/pr/13332

Online publication date: 01 Jun 2023

Article Views: 1144

Article Downloads: 877

Open Access References How to cite this article

References

Adolphus, T. (2011). Problems of teaching and learning of geometry in secondary schools in Rivers State, Nigeria. International Journal of Emerging Sciences, 1(2), 143-152.
Ahmad, S. (2013). Teacher education in Ethiopia: Growth and development. African Journal of Teacher Education, 3(3), 1-20. https://doi.org/10.21083/ajote.v3i3.2850
Atnafu, M., Teshome, Z., & Kassa, M. (2015). Perception of civil engineering extension students at Addis Ababa University Institute of Technology in the teaching of applied mathematics. Ethiopian Journal Education & Science, 10(2), 51-78.
Barnes, A. (2019). Perseverance in mathematical reasoning: The role of children’s conative focus in the productive interplay between cognition and affect. Research in Mathematics Education, 21(3), 271-294. https://doi.org/10.1080/14794802.2019.1590229
Bayuningsih, A. S., Usodo, B., & Subanti, S. (2018). Problem based learning with scaffolding technique on geometry. Journal of Physics: Conference Series, 1013(1), 012134. https://doi.org/10.1088/1742-6596/1013/1/012134
Bekele, A. (2012). Methods of teaching and their implications for quality of student learning at Samara University [Master’s thesis, Addis Ababa University].
Bujang, M. A., & Baharum, N. (2017). A simplified guide to determination of sample size requirements for estimating the value of intra class correlation coefficient: A review. Archives of Orofacial Science, 12(1), 1-11.
Caswell, C. J., & LaBrie, D. J. (2017). Inquiry based learning from the learner’s point of view: A teacher candidate’s success story. Journal of Humanistic Mathematics, 7(2), 161-186. https://doi.org/10.5642/jhummath.201702.08
Cesaria, A., & Herman, T. (2019). Mathematical reasoning in geometry learning using information and communication technology (ICT). Journal of Physics: Conference Series, 1157(4), 042101. https://doi.org/10.1088/1742-6596/1157/4/042101
Charles-Ogan, G., & George, N. R. (2015). Investigating difficult concepts in senior secondary school mathematics curriculum as perceived by students. International Journal of Academic Research and Reflection, 3(6), 67-74.
Chimuka, A. (2017). The effect of integration of GeoGebra software in the teaching of circle geometry on grade 11 learners’ achievement [Unpublished master’s thesis]. University of South Africa.
Cohen, L., Manion, L., & Morrison, K. (2007). Research methods in education. Routledge. https://doi.org/10.4324/9780203029053
Creswell, J. W. (2012). Educational research: Planning, conducting, and evaluating quantitative and qualitative research. Pearson.
Dagnew, A., & Mekonnen D. (2020). Effect of using guided inquiry teaching method in improving grade eight students’ concept of photosynthesis, primary school: Ethiopia. International Journal of Innovative Research in Education, 7(1), 01-16. https://doi.org/10.18844/ijire.v7i1.4655
Darkis, J. M. (2020). Views and challenges in teaching mathematics of elementary teachers in rural and urban school districts. Journal of Critical Reviews, 7(4), 107-112. https://doi.org/10.31838/jcr.07.04.19
Dimla, R. B. (2018). Probing students’ levels of geometric thinking in geometry and their enacted example space function. Journal of Education in Black Sea Region, 4(1), 155-163. https://doi.org/10.31578/jebs.v4i1.162
Donevska-Todorova, A. (2015). Conceptual understanding of dot product of vectors in a dynamic geometry environment. Electronic Journal of Mathematics & Technology, 9(3).
Eshetu, D., Atnafu, M., & Woldemichael, M. (2022). The effectiveness of guided inquiry-based technology integration on pre-service mathematics teachers’ understanding of plane geometry. Journal of Pedagogical Research, 6(4), 84-100. https://doi.org/10.33902/JPR202215241
Ethiopian National Learning Assessment (ENLA). (2017). Ethiopian third national learning assessment of grade 10 and 12 students achievement. NEAEA, Addis Ababa, Ethiopia.
Field, A. (2009). Discovering statistics using IBM SPSS statistics. SAGE.
Fraenkel, J. R., & Wallen, N. E. (2009). How to design and evaluate research in education. McGrow-Hill.
Fujita, T., & Jones, K. (2002). The bridge between practical and deductive geometry: Developing the ‘geometrical eye’. In Proceedings of the 26^th Conference of the International Group for the Psychology of Mathematics Education (pp. 383-391).
Fyfe, E. R., McNeil, N. M., & Borjas, S. (2015). Benefits of “concreteness fading” for children’s mathematics understanding. Learning and Instruction, 35, 104-120. https://doi.org/10.1016/j.learninstruc.2014.10.004
Gardner, K. (2012). An online community of inquiry for reflective practice in an operative dentistry course. Journal of Dental Education, 76(5), 641-650. https://doi.org/10.1002/j.0022-0337.2012.76.5.tb05298.x
Gemechu, E., Kassa, M., & Atnafu, M. (2018). Matlab supported learning and students’conceptual understanding of functions of two variables: Experiences from wolkite university. Bulgarian Journal of Science and Education Policy, 12(2), 314-344.
George, D., & Mallery, P. (2003). Descriptive statistics: Measures of central tendency, variability, deviation from normality, size, and stability. In SPSS for Windows step by step: A simple guide and reference (pp. 95-105). Allyn and Bacon.
Georgia Department of Education. (2015). Georgia milestones assessment system. Study/resource Guide for Students and parents Geometry. www.georgiastandars.org
Graham, M., Milanowski, A., & Miller, J. (2012). Measuring and promoting inter-rater agreement of teacher and principal performance ratings. Center for Educator Compensation Reform. https://files.eric.ed.gov/fulltext/ED532068.pdf
Hansen, A., Drews, D., Dudgeon, J., Lawton, F., & Surtees, L. (2020). Children's errors in mathematics. Sage.
Hua, X., Tang, M., Sun, S., & Han, Z. (2019). Inquiry into mathematics teaching in senior high school–Taking “planar analytic geometry” as an example. In Proceedings of the 3^rd International Seminar on Education Innovation and Economic Management (pp. 312-315). Atlantis Press. https://doi.org/10.2991/seiem-18.2019.81
Idris, N. (2007). The effect of geometers’ sketchpad on the performance in geometry of Malaysian students’ achievement and van Hiele geometric thinking. Malaysian Journal of Mathematical Sciences, 1(2), 169-180.
Idris, N. (2009). Enhancing students’ understanding in calculus trough writing. International Electronic Journal of Mathematics Education, 4(1), 36-55. https://doi.org/10.29333/iejme/229
Jones, K. (2002). Issues in the teaching and learning of geometry. In L. Haggarty (Ed.), Aspects of teaching secondary mathematics: Perspectives on practice (pp. 121-139). Routledge.
Kandil, S. (2016). An investigation of the effect of inquiry-based instruction enriched with origami activities on the 7th grade students’ reflection symmetry achievement, attitudes towards geometry and self-efficacy in geometry [Master’s thesis, Middle East Technical University].
Kasa, M. W. (2015). Mathematics teacher education and teachers’ professional competence in Ethiopia [Unpublished PhD dissertation]. Addis Ababa University.
Kothari, C. R. (2004). Research methodology: Methods and techniques. New Age International.
Lazonder, A. W., & Harmsen, R. (2016). Meta-analysis of inquiry-based learning: Effects of guidance. Review of Educational Research, 86(3), 681-718. https://doi.org/10.3102/0034654315627366
Liao, S. C., Hunt, E. A., & Chen, W. (2010). Comparison between inter-rater reliability and inter-rater agreement in performance assessment. Annals Academy of Medicine Singapore, 39(8), 613. https://doi.org/10.47102/annals-acadmedsg.V39N8p613
Llinares, S., & Clemente, F. (2014). Characteristics of pre-service primary school teachers’ configure reasoning. Mathematical Thinking and Learning, 16(3), 234-250. https://doi.org/10.1080/10986065.2014.921133
Mamali, N. R. (2015). Enhancement of learner’s performance in geometry at secondary schools in Vhembe District of the Limpopo Province [Doctoral dissertation, University of Venda].
Melesse, K. (2014). The influence of e-learning on the academic performance of mathematics students in fundamental concepts of algebra course: The case of Jimma University. Ethiopian Journal of Education & Science, 9(2), 41- 59.
MoE. (2015). Education sector development program V. https://planipolis.iiep.unesco.org/en/2015/education-sector-development-programme-v-esdp-v-2008-2012-ec-201516-201920-gc-programme-action
MoE. (2017). Strategic policy for national science, technology and mathematics education. http://www.moe.gov.et
MoE. (2020). Why Ethiopia values STEM education? https://www.moe.gov.et/ViewNews/21
Morgan, G. A., Leech, N. L., Gloeckner, G. W., & Barrett, K. C. (2012). IBM SPSS for introductory statistics: Use and interpretation. Routledge. https://doi.org/10.4324/9780203127315
Mueller, M., & Maher, C. (2009). Learning to reason in an informal math after-school program. Mathematics Education Research Journal, 21(3), 7-35. https://doi.org/10.1007/BF03217551
Murni, V., & Jehadus, E., (2019). Learning circle through GeoGebra media oriented to understanding concepts. International Journal of Innovative Science and Research Technology, 4(5), 1-4.
NCTM. (2002). Principles and standards for school mathematics. National Council of Teachers of Mathematics.
Ndlovu, M., & Mji, A. (2012). Pedagogical implications of students’ misconceptions about deductive geometric proof. Acta Academica, 44(3), 175-205.
Nunes, T., Bryant, P., Evans, D., Bell, D., Gardner, S., Gardner, A., & Carraher, J. (2007). The contribution of logical reasoning to the learning of mathematics in primary school. British Journal of Developmental Psychology, 25(1), 147-166. https://doi.org/10.1348/026151006X153127
Pallant, J. (2020). SPSS survival manual: A step by step guide to data analysis using IBM SPSS. McGraw-Hill. https://doi.org/10.4324/9781003117452
Payadnya, I. P. A. A. (2019). Investigation of students’ mathematical reasoning ability in solving open-ended problems. In Journal of Physics: Conference Series, 1200(1), 012016. https://doi.org/10.1088/1742-6596/1200/1/012016
Pittalis, M., & Christou, C. (2010). Types of reasoning in 3D geometry thinking and their relation with spatial ability. Educational Studies in Mathematics, 75, 191-212. https://doi.org/10.1007/s10649-010-9251-8
Pohjolainen, S., Nykänen, O., Venho, J., & Kangas, J. (2018). Analyzing and improving students’ mathematics skills using ICT-tools. EURASIA Journal of Mathematics, Science and Technology Education, 14(4), 1221-1227. https://doi.org/10.29333/ejmste/81869
Preez, M. D. (2018). The factors influencing mathematics students to choose teaching as a career. South African Journal of Education, 38(2), 1-13. https://doi.org/10.15700/saje.v38n2a1465
Rietveld, T., & van Hout, R. (2015). The t test and beyond: Recommendations for testing the central tendencies of two independent samples in research on speech, language and hearing pathology. Journal of Communication Disorders, 58, 158-168. https://doi.org/10.1016/j.jcomdis.2015.08.002
Salifu, A. S. (2020). Effect of GeoGebra on pre-service teachers’ achievement and perception of circle theorems at E. P. College of Education, Bimbilla-Ghana. International Journal of Innovative Science and Research Technology, 5(8), 1202-1215. https://doi.org/10.38124/IJISRT20AUG404
Sebsibe, A. S., & Feza, N. N. (2019). Assessment of students’ conceptual knowledge in limit of functions. International Electronic Journal of Mathematics Education, 15(2), em0574. https://doi.org/10.29333/iejme/6294
Shadish, W. R., Cook, T. D., & Campbell, D. T. (2002). Experimental and quasi-experimental designs for generalized causal inference. Houghton Mifflin.
Simamora, S. J., Simamora, R. E., Sinaga, B., & Calderon, O. (2017). Application of problem based learning to increase students’ problem solving ability on geometry in class X SMA negeri 1 pagaran. International Journal of Sciences Basic and Applied Research, 36(2), 234-251.
Suantoa, E., Zakaria, E., & Maat, S. M. (2019). The development of the KARA module based on experiential learning approaches in the threedimensional geometry blocks topic for lower secondary school students. International Journal of Innovation, Creativity and Change, 7(11), 26-46.
Tezer, M., & Cumhur, M. (2017). Mathematics through the 5E instructional model and mathematical modelling: The geometrical objects. EURASIA Journal of Mathematics Science and Technology Education, 13(8), 4789-4804. https://doi.org/10.12973/eurasia.2017.00965a
Van Hiele, P. M. (1999). Developing geometric thinking through activities that begin with play. Teaching Children mathematics, 5(6), 310-316.
White, H., & Sabarwal, S. (2014). Quasi-experimental design and methods: Methodological briefs-impact evaluation. https://www.unicef-irc.org/publications/753-quasi-experimental-design-and-methods-methodological-briefs-impact-evaluation-no.html
Wong, W. K., Yin, S. K., Yang, H. H., & Cheng, Y. H. (2011). Using computer-assisted multiple representations in learning geometry proofs. Journal of Educational Technology & Society, 14(3), 43-54.
Yusuf, M. O., & Afolabi, A. O. (2010). Effects of computer assisted instruction (CAI) on secondary school students’ performance in biology. Turkish Online Journal of Educational Technology, 9(1), 62-69.

How to cite this article

APA

Dereje, E. W., Mulugeta, A., & Mulugeta, W. (2023). Pre-service mathematics teachers’ geometric reasoning skills with technology-integrated guided inquiry approach. Pedagogical Research, 8(4), em0164. https://doi.org/10.29333/pr/13332

Vancouver

Dereje EW, Mulugeta A, Mulugeta W. Pre-service mathematics teachers’ geometric reasoning skills with technology-integrated guided inquiry approach. PEDAGOGICAL RES. 2023;8(4):em0164. https://doi.org/10.29333/pr/13332

AMA

Dereje EW, Mulugeta A, Mulugeta W. Pre-service mathematics teachers’ geometric reasoning skills with technology-integrated guided inquiry approach. PEDAGOGICAL RES. 2023;8(4), em0164. https://doi.org/10.29333/pr/13332

Chicago

Dereje, Eshetu Wordofe, Atnafu Mulugeta, and Woldemichael Mulugeta. "Pre-service mathematics teachers’ geometric reasoning skills with technology-integrated guided inquiry approach". Pedagogical Research 2023 8 no. 4 (2023): em0164. https://doi.org/10.29333/pr/13332

Harvard

Dereje, E. W., Mulugeta, A., and Mulugeta, W. (2023). Pre-service mathematics teachers’ geometric reasoning skills with technology-integrated guided inquiry approach. Pedagogical Research, 8(4), em0164. https://doi.org/10.29333/pr/13332

MLA

Dereje, Eshetu Wordofe et al. "Pre-service mathematics teachers’ geometric reasoning skills with technology-integrated guided inquiry approach". Pedagogical Research, vol. 8, no. 4, 2023, em0164. https://doi.org/10.29333/pr/13332