DEVELOPMENT OF WORKSHEET-BASED MATHEMATICAL MODELLING USING CONTEXT OF ENERGY CONVERSION FOR GEOMETRIC SEQUENCE MATERIAL
(1) Universitas Sriwijaya
(2) Universitas Sriwijaya
(3) Universitas Sriwijaya
(*) Corresponding Author
Abstract
This research is a series of developmental study design research, the prototyping stage – self-evaluation and formative evaluation. At self-evaluation stage, designing the worksheet, three development characteristics: content, constructs, and language are the concern. Then, at formative evaluation stage, the expert stage review was conducted to see the validity of the worksheet (one-to-one testing and interviews with 4 students who are part of the population based on high, medium, and low abilities). Document analysis is administered by matching the suitability of the workseheet designed on the initial prototype with the modeling framework, high school curriculum, and geometric sequences learning. Analysis of observations and interviews were carried out descriptively by observing the difficulties and findings of the process on doing the worksheet. Walk through analysis was obtained by descriptively analyzing and revising based on the validator notes. Result at the expert stage review and one-to-one showed that the worksheet based on mathematical modeling using the context of energy conversion in geometric sequences learning was valid.
Penelitian ini adalah penelitian design research tipe development study menggunakan model ADDIE dan pada tahap implementasi dan evaluasi mengikuti alur formative evaluation dari Tessmer. Penelitian ini bertujuan untuk menghasilkan LKPD berbasis pemodelan matematika pada materi pola barisan geometri menggunakan konteks konversi energi yang valid, praktis, dan memiliki efek potensial. Teknik pengumpulan data terdiri dari walkthrough, observasi, wawancara, dan tes. Analisis observasi dan wawancara dilakukan secara deskriptif dengan mengamati kesulitan dan temuan dari proses pengerjaan LKPD siswa. Analisis walkthrough dilakukan dengan cara menganalisis secara deskriptif dengan merevisi berdasarkan catatan validator. tes dilakukan setelah pembelajaran untuk melihat efek potensial dari LKPD yang dikembangkan. Hasil penelitian menunjukkan bahwa LKPD yang dihasilkan telah valid, praktis, dan memiliki efek potensial terhadap kemampuan pemodelan matematika siswa. Persentase skor pada saat tes evaluasi menunjukkan 54,05 % terkategori sangat baik, 32,43% terkategori baik, dan 13 % terkategori cukup.
Keywords
Full Text:
PDFReferences
Ang, C. K. (2001). Teaching Mathematical Modelling in Singapore Schools. The Mathematics Educator, Vol. 6, No. 1, 63-75.
Blum, W. (2011). Can Modelling Be Taught and Learn? - Some Answers from Empirical Research In G. Kaiser et al. (eds), Trends in Teaching and Learning of Mathematical Modelling. Trends in Teaching and Learning of Mathematical Modelling ICTMA14 (hal. 15-30). New York: Springer. DOI: 10.1007/978-94-007-0910-2.
Blum, W. (2015). Quality Teaching of Mathematical Modelling: What Do We Know, What Can We Do? The Proceedings of the 12th International Congresson Mathematical Education (hal. 73-96). Cham: Springer.
Blum, W., & Ferri, R. B. (2009). Mathematical Modelling: Can it Be Taught And Learnt? Journal of Mathematical Modelling and Application, Vol. 1, No. 1, 45-58.
Blum, W., & Leiβ, D. (2008). Investigating Quality Mathematical Teaching-The DISUM Project. In Bergsten, C. et. al (Eds). Developing and Researching Quality ini Mathematics Teaching and Learning: Proceeding of MADIF 5: The 5th Swedish Mathematics Education Research Seminar. Malmö: Linköping: SMDF.
Blum, W., & Niss, M. (1991). Applied Mathematical problem Solving, Modelling, Applications, and Links to Other Subjects- State, Trends, and Issues in Mathematics Instruction. Educational Studies in Mathematics, 22, 37-68.
Branch, R. M. (2009). Instructional Design : The ADDIE Approach. New York: Springer. DOI: 10.1007/978-0-387-09506-6.
Ferri, R. B. (2013). Mathematical Modeling-The Teacher's Responsibility. Conference on Mathematical Modeling (hal. 26-31). New York: Program in Mathematics and Education, Teacher College, Columbia University.
Ferri, R. B. (2018). Learning How to Teach Mathematical Modeling in School and Teacher Education. Cham, Switzerland: Springer. ISBN: 978-3-319-68072-9.
Galbraith, P. (2007). Dreaming a “Possible Dream”: More Windmills to Conquer. n C. Haines, P. Galbraith, W. Blum, & S. Khan (Eds.), Mathematical Modelling: Education, Engineering and Economics. (44-62). Chichester, UK: Horwood.
Hartono, Y. (2020). Mathematical Modelling in Problem Solving. Journal of Physics: Conference Series, 1480, 1 - 6.
Jumainisa, S., Darmawijoyo, D., & Hartono, Y. (2019). On Mathematical Modelling Task Using Health Context for Grade 5. Journal of Physics: Conference Series, 1166 012024, 1-9. DOI: 10.1088/1742-6596/1166/012024.
Kaiser, G., & Grunewald, S. (2015). Promotion of Mathematical Modelling Competency in The Context of Modelling Project. In L. Ng. hoe & N. K. E. Dawn (Eds). Series on Mathematics Education Vol. 8, Mathematical Modelling from Theory to Practice (hal. 21-39). Toh Tuck Link: World Scientific Publishing Co.Pte.Ltd.
Kanthawat, C., Supap, W., & Klin-eam, C. (2019). The Development of Grade 11 Students' Mathematical Literacy on Sequences and Series Using Mathematical Modelling. Journal of Physics: Conference Series. Vol 1157, No. 2, 1-7.
Lange, J. D. (2006). Mathematical Literacy for Living from OECD-PISA Perspective. Tsukuba Journal of Educational Study in Mathematics, Vol. 25, 13-35.
Maaβ, K. (2007). Modelling in Class: What do We Want The Students to Learn? Dalam C. Haines, P. Galbraith, W. Blum, & S. Khan, Mathematical Modelling (Eds), Education, Engineering, and Economics (hal. 65-78). Chischester: Horwood Publishing.
Masfufah , R., & Afriansyah, E. A. (2021). Analisis Kemampuan Literasi Matematis Siswa Melalui Soal PISA. Mosharafa: Jurnal Pendidikan Matematika, Vol. 10, No. 2, 291-300.
Nieveen, N. (2013). Formative Evaluation in Educational Design Research: in. An Introductional to Educational Design Research. (89-102). Enschede: Netherlands: SLO. Netherlands Institute fo Curriculum Development.
Niss, M. (2003). Mathematical Competencies and The Learning of Mathematics: The Danish KOM Project. In Gagatsis, A/papastavridis, S. (Eds). 3rd Mediterranean Conference on Mathematical Education (hal. 115-124). Athens: The Hellenic Mathematical Society.
Niss, M., & Blum, W. (2020). The Learning and Teaching of Mathematical Modelling. London & New York: Routledge.
OECD. (2018). PISA 2018 Insight and Interpretations. Paris: OECD.
Özdemir, E., & Üzel, D. (2012). Student Opinions on Teaching Based on Mathematical Modelling. Procedia – Social and Behavioral Sciences, Vol. 55, 1207-1214.
Plomp, T., & Nieveen, N. (2010). An Introduction to Educational Design Research. Proceedings of Seminar Conducted at The East China Normal University, Shanghai (PR China). Netherland: SLO Netherland Institute for Curriculum Development.
Riyanto, B., Zulkardi, Z., Putri, R. I., & Darmawijoyo, D. (2019). Senior High School Mathematics Learning Through Mathematical Modelling Approach. Journal on Mathematics Education, 425-444.
Saputri, N. W., & Zulkardi, Z. (2020). Pengembangan LKPD Pemodelan Matematika Siswa SMP Menggunakan Konteks Ojek Online. Jurnal Pendidikan Matematika, Vol. 14, No. 1, 1-14. DOI: https://doi.org/10.22342/jpm.14.1.6825.1-14.
Tessmer, M. (1993). Planning and Conducting Formative Evaluations. London: Kogan Page Limited (Online).
Umbaryati, U. (2016). Pentingnya LKPD pada Pendekatan Scientific Pembelajaran Matematika. PRISMA, Prosiding Seminar Nasional Matematika (hal. 217-225). Semarang: UNNES.
Wijaya, W., Heuvel-Panhuizen, M., Doorman, M., & Robitzsch, A. (2014). Difficulties in Solving Context Based (PISA). Journal The Mathematics Enthusiast, Vol. 11, No. 3, 555-584.
DOI: http://dx.doi.org/10.24127/ajpm.v11i4.6234
Refbacks
- There are currently no refbacks.