Research Article

Analysis of students’ mathematical connection abilities in solving problem of circle material: transposition study

Volume: 8 Number: 2 June 15, 2020
EN

Analysis of students’ mathematical connection abilities in solving problem of circle material: transposition study

Abstract

This study aims to describe the ability of students' mathematical connections in solving problems in the circle equation material through transposition studies. The method in this research is a descriptive qualitative approach, the techniques used in the study are tests, interviews, and documentation to explore data in research. Test and interview techniques were carried out in order to find out more about the ability of connections and generate knowledge about the transposition in making mathematical problem solving designs. The test is given to 3 students who have high ability, medium ability and low ability. Analysis of the data in this study is through the provision of problem solving tests and interviews using time triangulation, which provides tests and interviews for each student with a different time. The results in this study indicate that highly capable subjects have excellent mathematical connections and didactic knowledge is well utilized and able to provide alternative answers that differ from researchers so that a didactic transposition is formed, that is knowledge to be taught with knowledge, subjects of mathematical ability are able understand the problem well but are not careful enough in solving problem so that previous knowledge is underutilized, the subject of low mathematical ability is not able to understand the problem well and is unable to solve problems in the form of algebra so that the initial knowledge possessed is not well connected.

Keywords

Supporting Institution

Indonesian Education University and STKIP Taman Siswa Bima

Project Number

082340516464

References

  1. Bell, F. H. (1978). Teaching and Learning Mathematics in Secondary School. (C. Kedua (ed.)). Cetakan Kedua. Dubuque, Iowa: Wm. C. Brown Company Publishers.
  2. Bergeson, T. (2000). Teaching and Learning Mathematics. Using Research to Shift From The “Yesterday” Mind to the “Tomorrow” Mind, 37. www.k12.wa.us.
  3. Bingölbali, E., & Coşkun, M. 2016. A proposed conceptual framework for enhancing the use of making connections skill in mathematics teaching. Eğitim ve Bilim, 41(183), 233-249. https://doi.org/10.15390/EB.2016.4764
  4. Bosch, M., & Gascón, J. (2006). Twenty-five years of the didactic transposition. ICMI Bulletin, 58(58), 51–65.
  5. Bosse, M. J. (2003). The beauty of “and” and “or”: connections with in mathematics for students with learning differences. Mathematics and Computer Education, 37(1), 105-114. 37(1), 105.
  6. Charles, R & O’Daffer, P. (1997). How to Evaluate Progress in Problem Solving. NCTM. Reston, VA. https://www.amazon.com/Evaluate-Progress-Problem-Solving-NCTM/dp/0873532414
  7. Chevallard, Y. (1989). On didactic transposition theory: Some Introductory Notes. Paper Presented at the International Symposium on Research and Development in Mathematics Education. Bratislava.
  8. Chevallard, Y. (2013). Didactic Transposition in Mathematics Education. In Encyclopedies of Mathematics Education.

Details

Primary Language

English

Subjects

Other Fields of Education

Journal Section

Research Article

Publication Date

June 15, 2020

Submission Date

January 15, 2020

Acceptance Date

May 30, 2020

Published in Issue

Year 2020 Volume: 8 Number: 2

APA
Diana, N., Suryadi, D., & Dahlan, J. A. (2020). Analysis of students’ mathematical connection abilities in solving problem of circle material: transposition study. Journal for the Education of Gifted Young Scientists, 8(2), 829-842. https://doi.org/10.17478/jegys.689673
AMA
1.Diana N, Suryadi D, Dahlan JA. Analysis of students’ mathematical connection abilities in solving problem of circle material: transposition study. JEGYS. 2020;8(2):829-842. doi:10.17478/jegys.689673
Chicago
Diana, Nanang, Didi Suryadi, and Jarnawi Afgani Dahlan. 2020. “Analysis of Students’ Mathematical Connection Abilities in Solving Problem of Circle Material: Transposition Study”. Journal for the Education of Gifted Young Scientists 8 (2): 829-42. https://doi.org/10.17478/jegys.689673.
EndNote
Diana N, Suryadi D, Dahlan JA (June 15, 2020) Analysis of students’ mathematical connection abilities in solving problem of circle material: transposition study. Journal for the Education of Gifted Young Scientists 8 2 829–842.
IEEE
[1]N. Diana, D. Suryadi, and J. A. Dahlan, “Analysis of students’ mathematical connection abilities in solving problem of circle material: transposition study”, JEGYS, vol. 8, no. 2, pp. 829–842, June 2020, doi: 10.17478/jegys.689673.
ISNAD
Diana, Nanang - Suryadi, Didi - Dahlan, Jarnawi Afgani. “Analysis of Students’ Mathematical Connection Abilities in Solving Problem of Circle Material: Transposition Study”. Journal for the Education of Gifted Young Scientists 8/2 (June 15, 2020): 829-842. https://doi.org/10.17478/jegys.689673.
JAMA
1.Diana N, Suryadi D, Dahlan JA. Analysis of students’ mathematical connection abilities in solving problem of circle material: transposition study. JEGYS. 2020;8:829–842.
MLA
Diana, Nanang, et al. “Analysis of Students’ Mathematical Connection Abilities in Solving Problem of Circle Material: Transposition Study”. Journal for the Education of Gifted Young Scientists, vol. 8, no. 2, June 2020, pp. 829-42, doi:10.17478/jegys.689673.
Vancouver
1.Nanang Diana, Didi Suryadi, Jarnawi Afgani Dahlan. Analysis of students’ mathematical connection abilities in solving problem of circle material: transposition study. JEGYS. 2020 Jun. 15;8(2):829-42. doi:10.17478/jegys.689673

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