Local Instruktion Theory dalam Pembimbingan Riset di Bidang Pendidikan Matematika

Authors

  • Muhammad Muzaini Prodi Pendidikan Program Pascasarjana Universitas Muhammadiyah Makassar, Indonesia http://orcid.org/0000-0003-0042-7031
  • Agustan S Prodi Pendidikan Dasar Program Pascasarjana Universitas Muhammadiyah Makassar, Indonesia
  • Muhammad Ikram Prodi Pendidikan Matematika Program Pascasarjana Universitas Cokroaminoto Palopo, Indonesia

DOI:

https://doi.org/10.31100/histogram.v7i1.2477

Keywords:

LIT, HLT, Pembimbingan Riset

Abstract

Untuk mempromosikan desain instruksional yang inovatif dalam pembimbingan riset di bidang pendidikan matematika, kami melakukan proyek penelitian berbasis riset untuk mengeksplorasi lintasan belajar mahasiswa dalam melakukan riset. Tujuan penelitian ini adalah untuk mendeskripsikan pemikiran mahasiswa setiap tahapan lintasan belajar hipotesis (HLT) dan gambaran model teori instruksional lokal (LIT) dalam pembimbingan riset mahasiswa di bidang pendidikan matematika. Dalam artikel ini, kami menggunakan metode research desain dengan tahapan: (1) Preliminary Design; (2) Teaching Experiment; dan (3) Retrospective Analysis. 4 mahasiswa pendidikan matematika dan berada pada semester akhir berpartispasi dalam penelitian ini Hasil penelitian menunjukkan bahwa  kami menemukan pola berdasarkan analisis retrospektif. Selanjutnya, kami merumuskan LIT untuk mendukung pembimbingan riset di bidang pendidikan matematika, yakni: (1) mahasiswa memahami etika penulisan karya ilmiah; (2) mahasiswa memanfaatkan peluang mendapatkan ide melalui review artikel; (3) mahasiswa menetapkan tema penelitian berdasarkan hasil narrative review; (4) mahasiswa menetapkan desain penelitian; (5) mahasiswa melakukan studi pilot untuk mendukung tema penelitian yang diambil; (6) mahasiswa melakukan analisis dan interpretasi data hasil penelitian; (7) mahasiswa mengomparasikan temuan dan hasil penelitian sebelumnya; dan (8) mahasiswa mendesiminasikan atau mempublikasikan hasil penelitian. Model LIT yang dihasilkan memberikan kontribusi sebagai kerangka acuan dalam pembimbingan riset dibidang pendidikan matematika.

References

Wil O, Nico V, E GKP. Enriching Practical Knowledge: Exploring Student Teachers’ Competence in Integrating Theory and Practice of Mathematics Teaching. J Res Math Educ. 2015;46(5):559–98.

Simon MA, Placa N, Avitzur A. Participatory and anticipatory stages of mathematical concept learning: Further empirical and theoretical development. J Res Math Educ [Internet]. 2016;47(1):63–93. Available from: http://www.jstor.org/openurl?volume=47&spage=63&issn=0021-8251&issue=1&id=doi:10.5951%2Fjresematheduc.47.1.0063

Simon MA, Placa N, Kara M, Avitzur A. Empirically-based hypothetical learning trajectories for fraction concepts: Products of the Learning Through Activity research program. J Math Behav [Internet]. 2018;52(October 2017):188–200. Available from: https://doi.org/10.1016/j.jmathb.2018.03.003

Andrews-Larson C, Wawro M, Zandieh M. A hypothetical learning trajectory for conceptualizing matrices as linear transformations. Int J Math Educ Sci Technol [Internet]. 2017;48(6):809–29. Available from: http://dx.doi.org/10.1080/0020739X.2016.1276225

Weber E, Thompson PW. Students’ images of two-variable functions and their graphs. Educ Stud Math. 2014;87(1):67–85.

Zazkis R. Irrational gap : sensemaking trajectories of irrational exponents. 2021;25–48.

Stephens AC, Fonger N, Strachota S, Isler I, Blanton M, Knuth E, et al. A Learning Progression for Elementary Students’ Functional Thinking. Math Think Learn [Internet]. 2017;19(3):143–66. Available from: https://doi.org/10.1080/10986065.2017.1328636

Prahmana RCI, Kusumah YS, Darhim D. Keterampilan Mahasiswa dalam Melakukan Penelitian Pendidikan Matematika melalui Pembelajaran Berbasis Riset. Beta J Tadris Mat. 2016;9(1):1.

Prahmana RCI, Kusumah YS. The Hypothetical Learning Trajectory on Research in Mathematics Education Using Research-Based Learning. Pedagogika. 2016;123(3).

Rahmiati. Problematika Mahasiswa dalam Menulis Karya Ilmiah. J Adab. 2013;13(2).

Heryadi D. Menumbuhkan Kemampuan Menulis Akademik. Fon J Pendidik Bhs dan Sastra Indones. 2021;17:193–202.

Ikram M, Ma’rufi M, Ilyas M. Analisis Kesulitan dan Respon Dosen terhadap Kerampilan Meneliti bagi Mahasiswa: Studi Pendahuluan untuk Merancang Hipotesis Lintasan Belajar Mahasiswa. Prox J Penelit Mat dan Pendidik Mat. 2022;5(2):198–214.

Weber E. The two-change problem and calculus students’ thinking about direction and path. J Math Behav [Internet]. 2015;37:83–93. Available from: http://dx.doi.org/10.1016/j.jmathb.2014.12.003

Wilson PH, Mojica GF, Confrey J. Learning trajectories in teacher education: Supporting teachers’ understandings of students’ mathematical thinking. J Math Behav [Internet]. 2013;32(2):103–21. Available from: http://dx.doi.org/10.1016/j.jmathb.2012.12.003

Dreyfus T. Learning Through Activity – Basic research on mathematical cognition. J Math Behav [Internet]. 2018;52(November 2017):216–23. Available from: https://doi.org/10.1016/j.jmathb.2018.04.001

Nickerson SD, Whitacre I. A local instruction theory for the development of number sense. Math Think Learn. 2010;12(3):227–52.

Gravemeijer K, Van Eerde D. Design research as a means for building a knowledge base for teachers and teaching in mathematics education. Elem Sch J. 2009;109(5).

Gravemeijer K. Mathematical Thinking and Learning Local Instruction Theories as Means of Support for Teachers in Reform Mathematics Education. Math Think Learn. 2009;(May 2015):37–41.

Mansyur U. Minat Baca Mahasiswa: Potret Pengembangan Budaya Literasi di Universitas Muslim Indonesia. Literasi J Bhs dan Sastra Indones serta Pembelajarannya. 2020;4(2).

Rafli Z, Attas SG. Peningkatan Keterampilan Menulis Karya Ilmiah Melalui Model Pembelajaran Workshop dan Kolaborasi (Penelitian Tindakan di Program Studi PBSI STKIP Muhammadiyah Bogor). SEMNASFIP. 2019;

Ekorini PZ. Analisis Kemampuan Menulis (Writing) Ditinjau dari Tingkat Intelegensi Siswa. J Ris Teknol dan Inov Pendidik … [Internet]. 2021;4(1):203–12. Available from: http://journal.rekarta.co.id/index.php/jartika/article/view/152

Cárcamo A, Fuentealba C, Garzón D. Local instruction theories at the university level: An example in a Linear Algebra course. Eurasia J Math Sci Technol Educ. 2019;15(12).

Larsen SP. A local instructional theory for the guided reinvention of the group and isomorphism concepts. J Math Behav [Internet]. 2013;32(4):712–25. Available from: http://dx.doi.org/10.1016/j.jmathb.2013.04.006

Ikram M, Purwanto, Nengah Parta I, Susanto H. Mathematical reasoning required when students seek the original graph from a derivative graph. Acta Sci. 2020;22(6):45–64.

Bakker A, van Eerde D. An Introduction to Design-Based Research with an Example From Statistics Education. In 2015.

Saldaña J. The Coding Manual for Qualitative Researchers (No. 14). Sage. 2016;

Ramadhani P. The Role of Paraphrasing in Writing Research Papers. Alsuna J Arab English Lang. 2019 Nov 25;2(2):117–28.

Akbar MT. Students’ Paraphrasing in the Literature Review Section of Research Proposal. Jambura J English Teach Lit. 2020;1(1).

Relia CH, Daud A, Delfi S. INVESTIGATING UNIVERSITY STUDENTS’ ABILITY IN PARAPHRASING PARAGRAPHS. Int J Educ Best Pract. 2021;5(1).

Cortes-Vera J, Garcia TJ, Gutierrez A. Knowing and improving paraphrasing skills of Mexican college students. Inf Learn Sci. 2017;118(9–10):490–502.

Haris D, Chairunisah. Innovation of learning line on research in mathematics education to support students in conducting research. In: Journal of Physics: Conference Series. 2020.

Haris D, Chairunisah, Armanto D. Writing a Literature Review: Activities on Research in Mathematics Education to Support Students in Conducting Research. J Phys Conf Ser. 2021;1819(1).

Andersson A, le Roux K. Toward an Ethical Attitude in Mathematics Education Research Writing. J Urban Math Educ. 2017;10(1).

Kim EYJ, LaBianca AS. Ethics in Academic Writing Help for International Students in Higher Education: Perceptions of Faculty and Students. J Acad Ethics. 2018;16(1).

Palmatier RW, Houston MB, Hulland J. Review articles: purpose, process, and structure. Vol. 46, Journal of the Academy of Marketing Science. 2018.

Hanssens DM. The value of empirical generalizations in marketing. Vol. 46, Journal of the Academy of Marketing Science. 2018.

Suter GW. Review papers are important and worth writing. Vol. 32, Environmental Toxicology and Chemistry. 2013.

Ramdhani A, Ramdhani MA, Amin AS. Writing a Literature Review Research Paper: A step-by-step approach. Int J Basic Appl Sci. 2014;03(01).

Miles MB, Huberman AM, Saldana J. Qualitative Data Analysis: A Methods Sourcebook. Third Edit. United States of America: SAGE Publications, Inc; 2014.

Fraser J, Fahlman D, Arscott J, Guillot I. Pilot testing for feasibility in a study of student retention and attrition in online undergraduate programs. Int Rev Res Open Distance Learn. 2018;19(1).

Eldridge SM, Lancaster GA, Campbell MJ, Thabane L, Hopewell S, Coleman CL, et al. Defining feasibility and pilot studies in preparation for randomised controlled trials: Development of a conceptual framework. PLoS One. 2016;11(3).

Miles MB, Huberman AM, Saldaña J. Qualitative data analysis: A methods sourcebook. In Sage publications; 2018.

Creswell JW. Research Design: Qualitative, Quantitative, and Mixed Methods Approaches. 4th ed. 2014;

Young M. Quality of literature review and discussion of findings in selected papers on integration of ICT in teaching, role of mentors, and teaching science through science, technology, engineering, and mathematics (STEM). Educ Res Rev. 2017;12(4).

Olivier BH. The impact of contact sessions and discussion forums on the academic performance of open distance learning students. Int Rev Res Open Distance Learn. 2016;17(6).

Charitas R, Prahmana I. The Role of Research-Based Learning to Enhance Students’ Research and Academic Writing Skills. 2017;11:351–66.

Freeman B, Higgins KN, Horney M. How Students Communicate Mathematical Ideas: An Examination of Multimodal Writing Using Digital Technologies. Contemp Educ Technol. 2020;7(4):281–313.

Ceylan NO. Student perceptions of difficulties in second language writing. J Lang Linguist Stud. 2019;15(1).

Vlasenko K, Rovenska O, Lovianova I, Kondratyeva O, Achkan V. Enhancing interest in research activities in mathematics students in teacher training universities. SHS Web Conf. 2020;75.

Downloads

Published

2023-03-30

Issue

Vol. 7 No. 1 (2023): Histogram

Section

Articles

Citation Check

License

Please find the rights and licenses in Histogram: Jurnal Pendidikan Matematika. By submitting the article/manuscript, the author(s) accept this policy.

1. License

The non-commercial use of the article will be governed by the Creative Commons Attribution license as currently displayed on Creative Commons Attribution-ShareAlike 4.0 International.

2. Author's Warranties

The author warrants that the article is original, written by a stated author(s), has not been published before, contains no unlawful statements, does not infringe the rights of others, is subject to copyright that is vested exclusively in the author and free of any third party rights, and that any necessary written permissions to quote from other sources have been obtained by the author(s).

3. User Rights

Histogram: Jurnal Pendidikan Matematika's spirit is to disseminate articles published for free. Under the Creative Commons license, Histogram: Jurnal Pendidikan Matematika permits users to copy, distribute, display, and perform the work for non-commercial purposes only. Users will also need to attribute authors and Histogram: Jurnal Pendidikan Matematika when distributing works in the journal.

4. Rights of Authors

Authors retain all their rights to the published works, such as (but not limited to) the following rights;

  • Copyright and other proprietary rights relating to the article, such as patent rights,
  • The right to use the substance of the article in one's future works, including lectures and books,
  • The right to reproduce the article for one's purposes,
  • The right to self-archive the article,
  • The right to enter into separate, additional contractual arrangements for the non-exclusive distribution of the article's published version (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal (Histogram: Jurnal Pendidikan Matematika).

5. Co-Authorship

If other authors jointly prepared the article, any author submitting the manuscript warrants that all co-authors have authorized them to agree on this copyright and license notice (agreement) on their behalf and agree to inform their co-authors of the terms of this policy. Histogram: Jurnal Pendidikan Matematika will not be held liable for anything arising from the author(s) internal dispute. Histogram: Jurnal Pendidikan Matematika will only communicate with the corresponding author.

6. Royalties

This agreement entitles the author to no royalties or other fees. To such an extent that it is legally permissible, the author waives their right to collect royalties relative to the article regarding any use by Histogram: Jurnal Pendidikan Matematika.

7. Miscellaneous

Histogram: Jurnal Pendidikan Matematika will publish the article (or have it published) in the journal if the editorial process is completed. Histogram: Jurnal Pendidikan Matematika h editors may modify the article to a style of punctuation, spelling, capitalization, referencing, and usage that deems appropriate. The author acknowledges that the article may be published to be publicly accessible, and such access will be free of charge for the readers, as mentioned in point 3.