Learner Centred Teaching Strategies That Can Be Incorporated with Guided Discovery Method on Senior High School Students’ Achievement in Circle Theorems
DOI:
https://doi.org/10.54536/ajiri.v3i1.2138Keywords:
Circle Theorems, Constructivism, Guided Discovery-Based Instruction, Students Achievement, Learner Centered TeachingAbstract
The aim of the study is to investigate learner centered teaching strategies that can be incorporated with the guided discovery method to aid students’ achievement in circle theorems. The study employed a descriptive survey of questionnaires formulated for both teachers and students. Two Form 2 classes from various two Wa Municipality schools were chosen for the study using convenient, purposeful, and straightforward random sampling techniques. To conduct the study, two research questions were used. The sample size was composed of 164 students and 32 mathematics teachers from 2 schools in Wa Municipality in the Upper West Region. The theory that influenced the study was Piaget’s cognitive constructivism. The main purpose of the study was to ascertain the impact of incorporating other teaching or learning strategies with the guided discovery-based instruction to aid students’ conceptual understanding leading to achievement in circle theorems. The study’s findings indicated that teacher-related challenges recorded a mean of 1.66 as well as students’ own personal problems recorded a mean of 1.71, the encounter with teaching and learning of circle theorems had a low effect rate of 1.71 on their understanding of circle theorems. The results of the study’s findings suggested that teachers’ implementation of a variety of other appropriate learner-centered teaching strategies recorded a mean of 1.68 as well and learner-centered teaching resources or teaching aids recorded a mean of 1.77, have a low effect rate on students’ understanding of circle theorems when they are incorporated with guided discovery method in the classroom. To enhance the performance of SHS students, it will be most advantageous to introduce guided discovery teaching methods to pre-and in-service teachers, through promotion by Ghana Education Service and/or other stakeholders in the education sector, this introduction may be distributed through workshops and seminars. Math teachers’ instructional techniques and skills will improve as a result.
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References
Akcay, A. O. (2017). Instructional Technologies and pre-service Mathematics Teachers’ Selection of Technology. Journal of Education and Practice, 8(7), 163-173.
Arynda, Susanto, D. (2012). Penerapan Metode Penemuan Terbimbing dengan Pendekatan Kontekstual dalam Meningkatkan Hasil Belajar Siswa pada Materi Aritmetika Sosial. Kadikma, 3(3), 123–132.
Asemani, E., Asiedu-Addo, K. S., & Oppong, R. A. (2017). Geometric thinking levels of Senior High School students in Ghana. International Journal of Mathematics and Statistics Studies, 5(3), 1-18. www. Eajournals.org
Avong, H. N. (2013). Poor Performance in Mathematics among senior secondary school students in Kaduna State: What’s to Blame? www.transcampus.org/journals.
Boson-Amedenu, S. (2017). Students’ perception of difficult concepts in senior high school core mathematics curriculum in Ghana. Asian research journal of mathematics
Bray, A., & Tangney, B. (2017). Technology usage in mathematics education research-A systematic review of recent trends. Computers and Education, 114, 255-273.
Canada D. & Blair, S. (2006). Intersections of a Circle and a Square: An Investigation. Mathematics teacher, 100(5), 324-328.
Charles-Ogan, G. I. (2015). Mathematics as a Tool for Achieving the Vision 20:2020 Goal of National Transformation. International Journal of Education, Learning and Development, 3(8), 57-61.
Chisenga, J., & Mulenga, J. (2019). Factors affecting poor academic performance in earth geometry at school certificate level: A case of three selected secondary schools in Mansa District. International Journal of Research and Innovation in Social Science, 3(5), 543-522. rsisinternational.org
Cohen, L., Manion, L., & Morrison, K. (2004). Research methods in education, (5th ed). London: Routledge Falmer publishers.
Dewi, H. S. (2016). Pengembangan perangkat pembelajaran problem-based learning untuk meningkatkan kemampuan pemecahan masalah siswa kelas X SMK.
Donevska-Todorova, A. (2015). Conceptual understanding of dot product of vectors in a Dynamic geometry environment. The Electronic Journal of Mathematics, 59-73.
Egwu, Asuque and Ofori (2018). Geometry viewed as a difficult mathematics. International Journal of Innovative Science and Research Technology
Enu, J., Nkum, D., & Agyeman, O. K. (2015). Factors influencing students’ mathematics performance in some selected Colleges of Education in Ghana. International Journal of Education Learning and Development, 3(3), 68-74.
Ertekin, E. (2014). Is Cabri 3D effective for the teaching of special planes in analytic geometry. International Journal of Educational Studies in Mathematics, 1(1), 27-36.
Fabiyi, T. R. (2017). Geometry concepts in mathematics perceived difficult to learn by senior secondary school students in Ekiti State, Nigeria. Journal of Research & Method in Education, 7(1), 83-94.
Foley, A. E., Herts, J. B., Borgonovi, F., Guerriero, S., Levine, S. C., & Beilock, S. L. (2017). The math anxiety- performance link: A global phenomenon.
Foster, A., & Shah, M. (2015). The play curricular activity reflection discussion model for game-based learning. Journal of research on technology in education, 47(2), 71-88.
Frey, B. (2018). The SAGE Encyclopedia of educational research, measurement, and evaluation (vol. 1-4). Thousand Oaks, California. https://doi.org/10.4135/9781506326139
Gay, L. R., Mills, G. E., & Airasian, P. W. (2011). Educational Research: Competencies for analysis and applications (10th ed.). My EducationLab Series: Pearson. Books.google.com.gh/books?id=J5eJVwEACAAJ
Haeruman, L. D., Rahayu, W., & Ambarwati, L. (2017). Pengaruh Model Discovery Learning terhadap Peningkatan Kemampuan Berpikir Kritis Matematis dan SelfConfidence Ditinjau dari Kemampuan Awal Matematis Siswa SMA di Bogor Timur. JPPM, 157-16
Hedges, S., & Harkness, S. (2017). Is gaise evident? College Students’ Perceptions of statistics classes as ‘almost not math’. Statistics Educati son Research Journal, 16(1), 337-356
Herbst, P., Gonzalez, G., & Macke, M. (2005). How Can Geometry Students Understand What It Means to. Mathematics Educator, 15(2), 17-24.
Hissan, Y., & Ntow, F. D. (2021). An investigation into the effect of concept-based instruction on senior high school students’ geometric thinking and achievement in circle theorem. International Journal of Research and Innovation in Social Science. https://www.core.ac.uk/download/pdf/4271888.
Hou, C. S. (2007). A study on the relationship between teacher- student style match or mismatch and English learning achievements [Unpublished master’ thesis]. National Yunlin University of Science and Technology, Yunlin, Taiwan.
Johnson-Wilder, S., & Mason, J. (2005). Developing thinking in geometry. London: Paul Chapman Publishing.
Jones, K. Maschietto, M., & Doze, J. (2017). Introduction to the papers of TWG04: Geometry education. Paper presented at the 10th Congress of the European Society for Research in Mathematics Education.
Jumhariyani. (2016). Pengaruh Metode Penemuan Terbimbing Dan Kemampuan Berpikir Kritis Terhadap Kemampuan Matematika Siswa Kelas IV SD Sekecamatan SetiaBudi Jakarta Selatan. Jurnal Pendidikan Dasar, 7(1), 62–73.
Kara, F., & Incikabi, L. (2018). Sixth Grade Students’ Skills of Using Multiple Representations in Addition and Subtraction Operations in Fractions *. Journal of Elementary Educatioan, 10(4), 463–474. https://doi.org/10.26822/iejee.2018438137
Karam, R., &Pospiech, G. (2010). Mathematics in physics lessons: developing structural skill; Retrieved from https://www.univ-reims.fr/site/evenement/girep-icpe-mptl2010-reims-international-conference/gallery_files/site/1/90/4401/22908/29476/ 30505.pdf
Khanal, B. (2018). Learning strategies of mathematics students [Doctoral dissertation]. Tribhuvan University.
Kiwanuka, H. N., Van Damme, J., Van den Noortgate, W., & Reynolds, C. (2020). Temporal relationship attitude toward mathematics and mathematics achievement. International Journal of Mathematical Education in Science and Technology, 51, 1-25. Available at: https://doi.org/10.1080/0020739x.2020.1832268.
Lovett, J., & Lee, H. (2017). New standards require teaching more statistics: Are preservice secondary mathematics teachers ready? Journal of Teacher Education, 63(3), 299-311. https://doi.org/10.1177/0022487117697918
Ludema, J., & Johnson, A. (2019, July 23). Silence is costly: 4 types of team members who keep quiet, and how to get their voices heard. Forbes [online]. https://www.forbes.com/sites/armerjohnson-jimludema/2019/07/23/silence-is- costly- 4types-of -team-members-who keep-quiete-and-how-to-get-their- voices-heard/ ?sh=68e5e3b621ae
Mammarella, I. C., Caviola, S., & Dowker, A. (Eds.). (2019). Mathematics anxiety: What is Known, and what is still missing. Routledge.
Mardati, A. (2018). Pendekatan Penemuan Terbimbing dalam Pembelajaran Matematika untuk Menghadapi Tantangan Abad 21. Universitas Muhammadiyah Surakarta, 183–192.
Mavrogordato, M., & White, R. S. (2020). Leveraging policy implementation for social justice:How school leaders shape educational opportunity when implementing policy for English learners. Administration Quarterly, 56(1), 3-45.
McAndrew, E. M., Morris, W. L., & Fennell, F. S. (2017). Geometry-Related Children’s Literature Improves the Geometry Achievement and Attitudes of Second- Grade Students. School Science and Mathematics, 11(1-2), 34-51.
McCullouch, J. (2016). Contribution of teacher confidence to ‘excellent’ mathematics teaching. Philosophy of Mathematics Education Journal, 30, 1-12
Ministry of Education, CRDD. (2010). Ministry of Education, Teaching syllabus for core Mathematics. Accra, Ghana: Curriculum Research and Development Division.
Mintah, E. (2016). Learning Theories dominating in mathematics education in Ghana. Accra, Ghana: LP Publishers.
Mohajan, H. (2017). Two Criteria for Good Measurements in Research: Validity and Reliability. Munich Personal RePEc Archive, 17(3), 58-82. https://doi.org/at https://mpra.ub.uni-muenchen.de/83458/MPRA Paper No. 83458, posted 24 Dec 2017 08:48 UTC
Mugenda, A. (2003). Research methods: Quantitative and qualitative approaches by Mugenda. Nairobi, Kenya.
Mullis, I. V. S., Martin, M. O., Foy, P., & Arora, A. (2012). TIMSS 2011 International results in mathematics. Chestnut Hill, MA. https://doi.org/https://timssandpirls.bc.edu
Murni, V., Sariyasa, S., & Ardana, I. M. (2017). GeoGebra assists discovery learning model for problem solving ability and attitude toward mathematics. J. of Phys: Conf. Series, 895, 1–6.
Mwadzaangati, L. (2017). An exploration of mathematical knowledge for teaching geometric proofs. Unpublished doctoral dissertation, University of Malawi, Zomba, Malawi. https://repository.cc.ac.mw:8080/jspui
Netz, R. (1999). The shaping of deduction in Greek mathematics: A study in cognitive history. Cambridge University Press.
Novak, E., & Tassell, J. L. (2017). Studying preservice teacher math anxiety and mathematics performance in Geometry, word, and non- word problem solving. Learning and Individual Differences, 54, 20-29.
Nsengimana, Théophile, Leon Nkundabakura, (2020) “Reflection on Science Competence-Based Curriculum Implementation in Sub Saharan African Countries.” International Journal of Science Education, Part B 1–14.
Nugroho, H. A., Hidayah, I., & others. (2020). Mathematical Literacy in Discovery Learning with Scaffolding Strategy Reviewed from Self Efficacy. Unnes Journal of Mathematics Education Research, 9(1), 44–51.
Ofori, E. & Dampson, W. A. (2012). Doing quantitative research analysis using SSPS. Kumasi: Empre press
Ozomadu, E. A. (2016). Effectiveness of Guided Discovery and expository methods on students’ Achievement in Senior Secondary School Mathematics. Department of Computer Science and Mathematics. Godfrey Okoye University, Enugu. Retrieved from online from goggle search.
Phillips, D. C., & Soltis, J. F. (2004). Perspectives on learning. Teachers College Press.
Piaget, J. 1953: The origin of intelligence in the child. Routledge and Kogan Paul.
Pujiastuti, H., Kusumah, Y.S., Sumarmo, U., & Dahlan, J.A. (2014). Inquiry co-operation model for enhancing junior high school student’s mathematical problem-solving ability. International Journal of Contemporary Educational Research, 1(1), 51-60.
Ramadhani, R. (2017). Kemampuan Pemecahan Masalah Matematika Siswa SMA Melalui Guided Discovery Learning Berbantuan Autograph. JPPM, 10(2), 72–81.
Saito, K. (2017, May 7-11). Traces of oral teaching in Euclid’s Elements-diagrams, labels and references. In G. Schubring, L. Fan, & V. Geraldo (Eds.), Proceedings of the Second International Conference on Mathematics Textbook Research and Development (pp. 49-64). Universiade Federal do Rio de Janeiro: Instituto de Matemática.
Sarama, J., Clements, D., Wolfe, C., & Spitler, M. E. (2016). Professional development in early mathematics: Effects of an intervention based on learning trajectories on teachers’ practices. Nordiac Studies in Mathematics Education, 21(4), 29-55
Schwartz, D. L., & Heiser, J. (2006). Spatial representations and imagery in learning, Semantic Scholar, 283-298.
Senemoglu N (2012). From Development, Learning and Teaching- Theory to Application. Ankara: Pegem A Academy.
Serin, H. (2018). Perspectives on the teaching of geometry: Teaching and learning methods. Journal of Education and Training, 5(1), 131-137. https://doi.org/10.5296/jet.v5il.xxxx
Sherf, E. N., Parke, M.R., & Isaakyan, S. (2021). Distinguishing voice and silence at work: Unique relationships with perceived impact, psychological safety, and burnout. Academy of management Journal, 64(1), 114-148.
Simamora, R. E., Saragih, S., & others. (2019). Improving Students’ Mathematical Problem-Solving Ability and Self-Efficacy through Guided Discovery Learning in Local Culture Context. International Electronic Journal of Mathematics Education, 14(1), 61–72.
Slavin, R. E. (2010). Cooperative Learning, Where Behavioural and Humanistic Approachesto Classroom Motivation Meet. The Elementary School Journal, 88(1), 29-37
Stronge, J. H. (2018). Qualities of effective teachers. ASCD.
Tay, Mawuli Kofi, and Thomas Mensah Wonkyi. (2018). “Effect of Using Geogebra on Senior High School Students’ Performance in Circle Theorems.” African Journal of Educational Studies in Mathematics and Sciences, 14, 1–18.
Topuz, F, Birgin, O. (2020). 7th Grade Student Views on GeoGebra Supported Instructional Material and Learning Environment on “Circle and Circle” Journal of Computer and Education Research, 8(15), 1-27.
Utami, A. K. D., Mardiyana, & Pramudya, I. (2017). Analysis of junior high school students’ difficulty in resolving rectangular conceptual problems. Paper presented at the AIP Conference proceedings.
Von Glasersfeld, E. (1995). Radical constructivism: A way of knowing and learning. New York, NY: Routledge Falmer.
Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes. Cambridge, MA: Harvard University Press.
Weber, K. (2017). How mathematicians and students seek conviction in mathematics [PowerPoint presentation]. Teachers College, Columbia University.
West African Examinations Council (2002-2018). Chief Examiners Report on West African Senior Secondary School Certificate Examination.
West African Examinations Council (2016). Chief Examiners’ Report on West African Senior School Certificate Examination May/June 2016
West African Examinations Council (2017). Chief Examiners’ Report on West African Senior School Certificate Examination May/June 2017
WAEC, & GOG. (2019). West African senior school certificate examination 2013-2018 past questions and chief examiners’ reports for core subjects. Accra, Ghana: WAEC & KBSL.
Wilmot, E. M., Yarwah, C., & Abreh, M. K. (2018). Conceptualizing teacher knowledge in domain specific and measurable terms: Validation of the expanded KAT framework. British Journal of Education, 6(7), 31-48
Yerizon, Putra, A. A., & Subhan, M. (2018). Mathematics learning instructional development based on discovery learning for studfents with intrapersonal and interpersonal intelligence (preliminary research stage). International Electronic Journal of Mathematics Education, 13(3), 97–101. https://doi.org/10.12973/iejme/2701
Yerushalmy, M., Chazan, D., & Gordon, M. (1990). Mathematical problem posing: Implications for facilitating student inquiry in classrooms. Instructional Science, 19(3), 219-245.
Yismaw, A. W. & Gurju A. Z. (2018). Capabilities and Contributions of the Dynamic Math Software, GeoGebra-a Review. North American GeoGebra Journal, 7(1), ISSN 2162-3856.
Yuliana, Tasari & Wijayanti, S. (2017). The effectiveness of guided discovery learning to teach integral calculus for the mathematics students of mathematics education Widya Dharma University. Infinity, 6, 1–10.
Zhu, Y., Yu, W., & Cai, J. (2018). Understanding students’ mathematical thinking for effective teaching: A comparison between expert and non-expert Chinese elementary mathematics teachers. EURASIA Journal of Mathematics, Science and Technology Education, 14(1), 213-224.
Zulnaidi, H., Oktavika, E., & Hulu, K. R. (2018). The effect of Geogebra on students’ misconceptions of limit function topic. Journal Kurikulum & Pengajaran Asia Pasifik, 6(1), 1-6. Juku.um.edu.my
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