FOCUSING ON PROVING SKILLS FOR SENIOR SECONDARY TWO STUDENTS IN CIRCLE GEOMETRY
DOI:
https://doi.org/10.68653/szb7sz52Keywords:
Proving Skills, Circle Geometry, Proof, Mathematics and GeometryAbstract
The learning of circle theorems is frequently highlighted as one challenging geometric content area in the Nigerian Mathematics curriculum for Senior Secondary two students. However, it remains unclear how students, are reasoning when dealing with proving of circle theorems. This paper rigorously demonstrates the fundamental relationships between angles, lines, and arcs within a circle, often using geometric proofs. It provides a comprehensive and accessible proving skills which are fundamental for circle theorems. The skills utilize geometric principles and constructions, aiming for clarity and ease of understanding. It presents a comprehensive and accessible set of proofs for key circle theorems, through detailed geometric constructions and logical reasoning, making the concepts understandable for students’ achievement examinations. It covers key concepts such as angles at the centre and circumference, angles in a semicircle, and cyclic quadrilaterals, along with the geometric reasoning or statement step-by-step behind them.
References
Aidoo, B. F., & Akayuure, P. (2022). Examining senior high school girls’ thinking levels in solving problems on circle theorems. International Journal of Secondary Education,10(4), 127-135. doi: 10.11648/j.ijsedu.20221004.11
Akanmu, A. M., & Bala, A. (2022). Effects of multimedia courseware on senior school students’ performance in linear equations involving word problems in Gombe, Nigeria. African Journal of Educational Studies in Mathematics and Sciences, 18(1), 89-101. https://bit.ly/3ZYoNqx
Akinyemi, A. L., Ogundipe, T., & Adelana, O. P. (2021). Effect of scratch programming language (SPL) on achievement in geometry among senior secondary students in Ibadan, Nigeria. Journal of ICT in Education, 8(2), 24-33. https://doi.org/10.37134/jictie.vol8.2.3.20 21
Ákos, G., & Kónya, E. (2022). Proving skills in geometry of secondary grammar school leavers specialized in mathematics. Annales Mathematicae et Informaticae 50(2022), 217–236. doi: http://ami.uni-eszterhazy.hu
Akugizibwe, E., & Ahn, J. Y., (2020). Perspectives for effective integration of e- learning tools in university mathematics instruction for developing countries. Education and Information Technologies, 25(2), 889-903. https://doi.org/10.1007/s10639-019 09995-z
Bruno, A. (2023). Using diagrams that will enhance conceptual understanding and skills development in circle theorems among Shs 2 students of Mankessim senior high school. Retrievd from Development%20in%20circle%23theorems.pdf
Choudhury, R. & Das, D., (2022). Influence of geometrical ability and study habit on the achievement in mathematics at secondary stage 1. International Journal of Computational Engineering Research, 2(6), 232-237. http://citeseerx.ist.psu.edu
Cooke, H. (2007). Mathematics for primary and early years: Developing subject knowledge. SAGE Publications. https://doi.org/10.4135/9781446216040
Essential Advanced General Mathematics (2024). Retrieved from Downloads/ Ch% 2014% 20circle%20theorems'.pdf
Folake, M. A., Yeukai, I. M., & Jogymol, A. (2024). GeoGebra software to teach and learn circle geometry: Academic achievement of Grade 11 Students. Mathematics Teaching Research Journal Golden Fall, 14(3). Retrieved from Downloads/teachind%20soft%24ware.pdf
Hanna, G. & De Villiers, M. (2008). Proof and proving in mathematics education. ZDM Mathematics Education,50(2019), 329–336.
Hussin, S., Yusoff, J. M., Mustaffa, S. S., & Mokmin, N. M. (2023). The effectiveness of using geoGebra software in teaching angle in circle. Advanced Journal of Technical and Vocational Education, 2 (3),1-6. Doi: 10.26666/rmp.ajtve.2018.3.1
