Analisis Prakseologi Terhadap Soal Limit Pada Materi Geometri: Kasus Membuat Dan Membuktikan Dugaan
Keywords:
analisis, prakseologi, limit, dugaanAbstract
The experience of making and proving mathematical conjectures is valuable for students. The element of doubt in the conjecture gives students access to reasoning. All Calculus textbooks discuss limits, but most practice problems on the subject of limits are not specifically made as practice problems for making and proving conjectures. This study aims to describe problems on the subject of limits that can be used as practice questions to make and prove conjectures. The object of this research is the questions on the subject of limits related to geometry material in the book Calculus, 7th edition by James Stewart. This research method is a content analysis based on the praxeology model which consists of four elements of analysis, namely tasks, techniques, technology, and theory. The results show that the problems can be identified as exercises in making and proving conjectures, the steps in making and proving conjectures can be used to solve the problem, justification can be done to apply the steps in making and proving conjectures, and there is a theory used in justifying the steps in making and proving conjectures.
References
Azzahra, N., Herman, T., & Dasari, D. (2022). Analysis of Inverse Proportion in Mathematics Textbook Based on Praxeological Theory. Jurnal Analisa, 8(2), 152–167. https://doi.org/10.15575/ja.v8i2.22679
Burger, E. B., Chard, D. J., Hall, E. J., Kennedy, P. A., Leinwand, S. J., & Renfro, F. L. (2007). Holt Geometry Texas. Holt Rinehart & Winston.
Cañadas, M. C., Deulofeu, J., Figueiras, L., Reid, D., & Yevdokimov, O. (2007). The Conjecturing Process: Perspectives in Theory and Implications in Practice. In Journal of Teaching and Learning (Vol. 5, Issue 1). https://doi.org/10.22329/jtl.v5i1.82
Chevallard, Y. (2006). Steps Towards a New Epistemology in Mathematics Education. Proceedings of the IV Congress of the European Sociaty for Research in Mathematics Education, 21–30.
García-García, J., & Dolores-Flores, C. (2021). Pre-university students’ mathematical connections when sketching the graph of derivative and antiderivative functions. Mathematics Education Research Journal, 33(1), 1–22. https://doi.org/10.1007/s13394-019-00286-x
Hanifah, U., Budayasa, I. K., & Sulaiman, R. (2025). Technology, pedagogy, and content knowledge in mathematics education: a systematic literature review. Journal of Education and Learning, 19(1), 579–586. https://doi.org/10.11591/edulearn.v19i1.21816
HastiYunianta, T. N., Suryadi, D., Dasari, D., & Herman, T. (2023). Textbook praxeological-didactical analysis: Lessons learned from the Indonesian mathematics textbook. Journal on Mathematics Education, 14(3), 503–524. https://doi.org/10.22342/jme.v14i3.pp503-524
Lannin, J., Ellis, A. B., & Elliot, R. (2011). Developing Essential Understanding of Mathematical Reasoning for Teaching Mathematics in Prekindergarten–Grade 8. The National Council of Teachers of Mathematics, Inc.
Lesseig, K. (2016). Conjecturing, generalizing and justifying: Building theory around teacher knowledge of proving. International Journal for Mathematics Teaching and Learning, 17(3). https://doi.org/https://doi.org/10.4256/ijmtl.v17i3.27
Mazur, B. (1997). Conjecture. Synthese, 111(2), 197–210.
Morselli, F. (2020). Use of examples in conjecturing and proving: an exploratory study. Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education, 4, 185–192. https://doi.org/10.1515/9783112352960
Putra, Z.H, Witri, G. (2017). Anthropological Theory of the Didactic ( ATD ) a New Research perspective on Didactic Mathematics in Indonesia. Jurnal Pendidikan Guru, 2(1), 221–227.
Putra, Z. H. (2019). Danish Pre-service Teachers’ Mathematical and Didactical Knowledge of Operations with Rational Numbers. International Electronic Journal of Mathematics Education, 15(1), 619–632. https://doi.org/10.29333/iejme/5775
Stewart, J. (2012). Calculus (7th ed.). Brooks/Cole.
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