A local instructional theory (LIT) for teaching linear equation through STEM instruction
DOI:
https://doi.org/10.29408/jel.v8i2.4727Keywords:
design research, dynamo-powered toy car, linear equations in one variable, local instructional theory, STEMAbstract
Several previous types of research showed that students had obstacles in understanding the concept of linear equations. These obstacles occur because the designed learning cannot facilitate student learning trajectories, thus causing low learning outcomes. This research aimed to design and develop a learning trajectory for the linear equations in one variable material as a systematic set of activities through Science, Technology, Engineering, and Mathematics (STEM) instruction using a dynamo-powered toy car. This design is referred to as a Local Instructional Theory (LIT) in teaching the linear equations in one variable material. The research method used is the method of design research, following the stages of preliminary design, teaching experiment, and retrospective analysis. The research subjects in the teaching experiment were grade VII students of a state junior high school in Bandung City. Data were collected from various sources, namely student worksheets, teacher and student observation sheets, documentation, interview, and video recording of the learning course. This study analyzes the validity of the research through a qualitative research perspective, and reliability refers to the quality of the survey itself. The research results described the performance of the LIT-based design for linear equations in one variable learning in STEM instruction in four meetings. The research was concluded with the generation of one local instructional theory that is valid, practical, and effective in guiding a set of instructional activities to build an understanding of the linear equations in one variable material through STEM instruction using a dynamo-powered toy car.References
Bybee, R. W. (2013). The case for STEM education: challenges and opportunities. NSTA Press.
Carcamo, A., Fuentealba, C., & Garzon, D. (2019). Local instruction theories at the university level: an example in a linear algebra course. EURASIA Journal of Mathematics, Science and Technology Education, 15(12), 1-16. https://doi.org/10.29333/ejmste/108648
Clements, D. H. et al. (2011). Mathematics learned by young children in an intervention based on learning trajectories: a large-scale cluster randomized trial. Journal for Research in Mathematics Education, 42(2), 127-166. https://doi.org/10.5951/jresematheduc.42.2.0127
Clements, D. H., & Sarama, J. (2004). Learning trajectories in mathematics education. Mathematical Thinking and Learning, 6(2), 81-89. https://doi.org/10.1207/s15327833mtl0602_1
Crispin D. et al. (2019). Linear equations in two variables STEM education learning activities: developing the household power consumption calculator app. Journal of Physics: Conference Series. 1340(1), 012048. https://doi.org/10.1088/1742-6596/1340/1/012048
Denzin, N. K. & Lincoln, Y. S. (2009). Menempatkan bidang [Locating the field]. In Denzin, N. K. & Lincoln, Y. S. (Ed.), Handbook of qualitative research (pp. 23-25). Pustaka Pelajar.
Gravemeijer, K. (1999). How emergent models may foster the constitution of formal mathematics. Mathematical Thinking and Learning, 1(2), 155–177. https://doi.org/10.1207/s15327833mtl0102_4
Gravemeijer, K. (2004). Local instruction theories as means of support for teachers in reform mathematics education. Mathematical Thinking and Learning, 6(2), 105–128. https://doi.org/10.1207/s15327833mtl0602_3
Jupri, A. & Drijvers, P. (2016). Student difficulties in mathematizing word problems in algebra. Eurasia Journal of Mathematics, Science & Technology Education, 12 (9), 2481-2502. https://doi.org/10.12973/eurasia.2016.1299a
Jupri, A., Drijvers, P., & Heuvel-Panhuizen, M. (2014a). Difficulties in initial algebra learning in Indonesia. Mathematics Education Research Journal, 26, 683-710. https://doi.org/10.1007/s13394-013-0097-0
Jupri, A., Drijvers, P., & Heuvel-Panhuizen, M. van den. (2014b). Student difficulties in solving equations from an operational and a structural perspective. International Electronic Journal of Mathematics Education, 9(1), 39-55. https://doi.org/10.29333/iejme/280
Koedinger, K. R. & Aleven, V. (2016). An interview reflection on “intelligent tutoring goes to school in the big city”. International Journal of Artificial Intelligence in Education, 26, 13–24. https://doi.org/10.1007/s40593-015-0082-8
Larsen, S. P. (2013). A local instructional theory for the guided reinvention of the group and isomorphism concepts. The Journal of Mathematical Behavior, 32(4), 712-725. https://doi.org/10.1016/j.jmathb.2013.04.006
Meika, I., Suryadi, D., & Darhim. (2019). Developing a local instruction theory for learning combinations. Infinity Journal, 8(2), 157-166. https://doi.org/10.22460/infinity.v8i2.p157-166
Nickerson, S. D., & Whitacre, I. (2010). A local instruction theory for the development of number sense. Mathematical Thinking and Learning, 12(3), 227–252. https://doi.org/10.1080/10986061003689618
Plomp, T. & Nieveen, N. (2007, November 23-26). An introduction to educational design research [Conference session]. Proceedings of the seminar were conducted at the East China Normal University, Shanghai (PR China). https://ris.utwente.nl/ws/portalfiles/portal/14472302/Introduction_20to_20education_20design_20research.pdf
Prahmana, R. C. I., Zulkardi, & Hartono, Y. (2012). Learning multiplication using Indonesian traditional game in third grade. Journal on Mathematics Education, 3(2), 115-132. https://doi.org/10.22342/jme.3.2.1931.115-132
Pramuditya, S. A., Noto, M. S., & Handayani, V. D. (2021). Desain didaktis konteks fabel berbasis pemahaman matematis siswa pada materi aljabar [Didactic design of fable context based on students' mathematical understanding on algebraic material]. Jurnal Elemen, 4(2), 119-130. https://doi.org/10.29408/jel.v7i1.2730
Roberts, T. et al. (2018). Students’ perceptions of STEM learning after participating in a summer informal learning experience. International Journal of STEM Education, 5(35), 1-14. https://doi.org/10.1186/s40594-018-0133-4
Rohimah, S. M. (2017). Analisis learning obstacles pada materi persamaan dan pertidaksamaan linear satu variabel [Analysis learning obstacles on linear equations and inequalities in one variable]. Jurnal Penelitian dan Pembelajaran Matematika (JPPM), 10 (1), 132-141. https://doi.org/10.30870/jppm.v10i1.1293
Rohmah, N., Hobri, & Yulianti, N. (2017). The analysis on students’ critical thinking in solving the problem on a one-variable linear equation based on realistic mathematics education with local wisdom. International Journal of Advanced Research, 5(10), 193-199. https://doi.org/10.21474/IJAR01/5522
Saenz, C. (2009). The role of contextual, conceptual, and procedural knowledge in activating mathematical competencies (PISA). Educational Studies in Mathematics, 71, 123–143. https://doi.org/10.1007/s10649-008-9167-8
Saraswati, S., Putri, R. I. I., & Somakin. (2016). Supporting students’ understanding of linear equations with one variable using algebra tiles. Journal on Mathematics Education. 7(1), 19-30. https://doi.org/10.22342/jme.7.1.2814.19-30
Sarosa, S. (2012). Penelitian kualitatif, dasar-dasar [Qualitative research, fundamentals]. Indeks
Suwarma, I. R., Astuti, P., & Endah, E. N. (2015, June 8-9). “Ballon powered car” sebagai media pembelajaran IPA berbasis STEM (Science, Technology, Engineering, and Mathematics) [“Balloon powered car” as a STEM-based science learning media] [Symposium Proceedings]. Prosiding Sımposium Nasional Inovasi dan Pembelajaran Sains, Bandung, Indonesia, 373-376. https://ifory.id/proceedings/2015/z4pZjcJkq/snips_2015_irma_rahma_suwarma_409fef79e6f888dac411c0f4eb0c1f45.pdf
Sztajn, P., Confrey, J., Wilson, H. P., & Edgington, C. (2012). Learning trajectory based instruction: toward a theory of teaching. Educational Researcher, 41(5), 147–156. https://doi.org/10.3102/0013189X12442801
Wilson, H. P., Sztajn, P., Edgington, C., & Confrey, J. (2014). Teachers’ use of their mathematical knowledge for teaching in learning a mathematics learning trajectory. Journal of Mathematics Teacher Education, 17, 149–175. https://doi.org/10.1007/s10857-013-9256-1
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