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A Different Geometric Model for Teaching Derivative and Integral Concepts

Cilt: 8 Sayı: 3 1 Ekim 2025
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A Different Geometric Model for Teaching Derivative and Integral Concepts

Öz

In this study, a different geometric model that is thought to be used in teaching derivatives and integrals will be introduced. This geometric model is based on the meanings of the words derivative and integral. The geometric models used for teaching consist of plane geometric regular shapes. With this study, whether this geometric model should be used in teaching derivatives and integrals, its deficiencies or incorrects will be opened to discussion by mathematics and mathematics educators.

Anahtar Kelimeler

Derivative teaching, integral teaching, geometric model

Kaynakça

  1. Abramovich, S., & Norton, A. (2006). Beyond the black box: Calculus teaching in dynamic computer environments. Educational Studies in Mathematics.
  2. Artigue, M. (2000). Teaching and learning calculus: What can be learnt from education research and curricular changes in France? CBMS Issues in Mathematics Education, 8, 1–15.
  3. Duval, R. (2006). A cognitive analysis of problems of comprehension in a learning of mathematics. Educational Studies in Mathematics, 61(1), 103–131.
  4. Freeman, S., et al. (2014). Active learning increases student performance in science, engineering, and mathematics. Proceedings of the National Academy of Sciences.
  5. Heid, M. K. (1988). Resequencing skills and concepts in applied calculus using the computer as a tool. Journal for Research in Mathematics Education.
  6. Hohenwarter, M., & Fuchs, K. (2004). Combination of dynamic geometry, algebra, and calculus in the software system GeoGebra. Computer Algebra Systems and Dynamic Geometry Systems in Mathematics Teaching Conference.
  7. Hohenwarter, M., & Preiner, J. (2007). Dynamic mathematics with GeoGebra. Journal of Online Mathematics and its Applications.
  8. Kaput, J. J. (1994). The representational roles of technology in connecting mathematics with authentic experience. In R. Biehler, R. W. Scholz, R. Strasser ve B. Winkelman (Eds.), Didactics in Mathematics as a ScientificDiscipline, 379-397. Netherlands: Kluwer Academic Publishers.
  9. Keller, B. A., & Hirsch, C. R. (1998). Student understanding of the integral concept in calculus. Educational Studies in Mathematics.
  10. Khan, S. (2012). The One World Schoolhouse: Education Reimagined. Twelve.

Kaynak Göster

APA
Konyalıoglu, A. C., & Kalaç, S. (2025). A Different Geometric Model for Teaching Derivative and Integral Concepts. Journal of Advanced Mathematics and Mathematics Education, 8(3), 26-33. https://izlik.org/JA43BP39SJ
AMA
1.Konyalıoglu AC, Kalaç S. A Different Geometric Model for Teaching Derivative and Integral Concepts. Journal of Advanced Mathematics and Mathematics Education. 2025;8(3):26-33. https://izlik.org/JA43BP39SJ
Chicago
Konyalıoglu, Alper Cihan, ve Senem Kalaç. 2025. “A Different Geometric Model for Teaching Derivative and Integral Concepts”. Journal of Advanced Mathematics and Mathematics Education 8 (3): 26-33. https://izlik.org/JA43BP39SJ.
EndNote
Konyalıoglu AC, Kalaç S (01 Ekim 2025) A Different Geometric Model for Teaching Derivative and Integral Concepts. Journal of Advanced Mathematics and Mathematics Education 8 3 26–33.
IEEE
[1]A. C. Konyalıoglu ve S. Kalaç, “A Different Geometric Model for Teaching Derivative and Integral Concepts”, Journal of Advanced Mathematics and Mathematics Education, c. 8, sy 3, ss. 26–33, Eki. 2025, [çevrimiçi]. Erişim adresi: https://izlik.org/JA43BP39SJ
ISNAD
Konyalıoglu, Alper Cihan - Kalaç, Senem. “A Different Geometric Model for Teaching Derivative and Integral Concepts”. Journal of Advanced Mathematics and Mathematics Education 8/3 (01 Ekim 2025): 26-33. https://izlik.org/JA43BP39SJ.
JAMA
1.Konyalıoglu AC, Kalaç S. A Different Geometric Model for Teaching Derivative and Integral Concepts. Journal of Advanced Mathematics and Mathematics Education. 2025;8:26–33.
MLA
Konyalıoglu, Alper Cihan, ve Senem Kalaç. “A Different Geometric Model for Teaching Derivative and Integral Concepts”. Journal of Advanced Mathematics and Mathematics Education, c. 8, sy 3, Ekim 2025, ss. 26-33, https://izlik.org/JA43BP39SJ.
Vancouver
1.Alper Cihan Konyalıoglu, Senem Kalaç. A Different Geometric Model for Teaching Derivative and Integral Concepts. Journal of Advanced Mathematics and Mathematics Education [Internet]. 01 Ekim 2025;8(3):26-33. Erişim adresi: https://izlik.org/JA43BP39SJ