Didactical design of algebraic expression from a linear pattern with a realistic mathematics education approach

Abstract

Ardiansari, L. (2019). Pra-Aljabar: Langkah Baru Mengajar Aljabar Awal (Penerapan Didactical Design Research). Proximal: Jurnal Penelitian Matematika Dan Pendidikan Matematika. 1(1), 32-44. https://e-journal.my.id/proximal/article/view/182.

Astriani, L., Abdul, M,. & Firmansyah. (2022). Didactic design for overcoming obstacles in mathematics of junior high school students. International Journal of Education Research Excellence, 1(1), 58. https://doi.org/10.55299/ijere.v1i1.97.

Astuti, W. & Wijaya, A. (2020). Learning trajectory berbasis proyek pada materi definisi himpunan. Jurnal Riset Pendidikan Matematika, 7(2), 2. http://dx.doi.org/10.21831/jrpm.v7i2.16483.

Brousseau, G. (1997). Theory of didactical situations in mathematics. Kluwer Academic Publishers.

Cohen, L., Manion, L., & Morrison, K. (2018). Case studies in research methods in education. Lincoln: University of Nebraska.

Confrey, J., Maloney, A.P. & Corley, A.K. (2014). Learning trajectories: a framework for connecting standards with curriculum. ZDM Mathematics Education 46, 719–733. https://doi.org/10.1007/s11858-014-0598-7.

Creswell, J. W. (2012). Educational Research. (4^thed.). University of Nebraska.

Dibbs, R. A., Hott, B. L., Martin, A., Raymond, L., & Kline, T. (2020). Combining like terms: a qualitative meta-synthesis of algebra i interventions in mathematics and special education. International Journal of Education in Mathematics, Science and Technology, 8(3), 219. http://dx.doi.org/10.46328/ijemst.v8i3.862.

Ferretti, F. (2019). The manipulation of algebraic expressions: deepening of a widespread difficulties and new characterizations. International Electronic Journal of Mathematics Education, 1(1), 1–7. https://doi.org/10.29333/iejme/5884.

Freudental, H. (2002). Revisiting mathematics education. Kluwer Academic Publishers.

Gürbüz, M. Ç., & Ozdemir, M. E. (2020).  A learning trajectory study on how the concept of variable is constructed by students. World Journal of Education, 10(1), 138-144. https://doi.org/10.5430/wje.v10n1p134.

Hord, C., & Hoyng, C. (2021). Teaching Students with Learning Disabilities to Solve Secondary School Algebra Problems. Insights into Learning Disabilities, 18(1), 79–89. https://eric.ed.gov/?id=EJ1295248.

Kansanen, P. (2003). Studying the realistic bridge between instruction and learning. An attempt to a conceptual whole of the teaching-studying-learning process. Educational Studies, 29(2–3), 229. http://dx.doi.org/10.1080/03055690303279.

Plomp, T., & Nieveen, N. (2013). Educational design research. Netherlands Institute for Curriculum Development SLO.

Pratamawati, A. (2020). Desain didaktis untuk mengatasi learning obstacle siswa sekolah menengah atas pada materi fungsi invers. Jurnal Pendidikan Matematika (Kudus), 3(1), 18.  http://dx.doi.org/10.21043/jpm.v3i1.7264 .

Putri, D.P., Manfaat, B., & Haqq, A.A. (2020). Desain didaktis pembelajaran matematika untuk mengatasi hambatan belajar pada materi matriks. Jurnal Analisa, 6(1), 56–68. https://journal.uinsgd.ac.id/index.php/analisa/article/view/5694.

Santri, D. D., Yusuf, H., & Somakim. (2019). Mathematical modeling for learning algebraic operation. Journal of Education and Learning, 13(2),201. https://doi.org/10.11591/edulearn.v13i2.8996 .  

Stewart, J., Rhoads, C., Serdiouk, M., Van Dine, D., Cherasaro, T., & Klute, M. (2019). Associations between the qualifications of middle school algebra I teachers and student math achievement. REL 2020-005. Regional Educational Laboratory Central, October, 8-9. https://ies.ed.gov/ncee/rel/Products/Region/central/Publication/3922.

Suryadi, D. (2019). Penelitian desain didaktis (DDR) dan implementasinya. Gapura Press.

Watt, S.J., Watkins J.R.,  and Abbitt J., (2014). Teaching algebra to students with learning disabilities: where have we come and where should we go?. Journal of Learning Disabilities 49(4). http://dx.doi.org/10.1177/0022219414564220.

Wilson, P.H., Mojica, G.F., Confrey, J. (2013). Learning trajectories in teacher education: Supporting teachers’ understandings of students’ mathematical thinking, The Journal of Mathematical Behavior. 32 (2). 103-121. https://doi.org/10.1016/j.jmathb.2012.12.003.