Vol. 9 No. 4 (2023): April
Open Access
Peer Reviewed

Hypothesis Design of Learning Trajectory Volume Building Flat Sided Spaces in Junior High Schools: Based on Van Hiele's Theory

Authors

Ernawati Jais , Anwar Anwar , Raizal Rezky

DOI:

10.29303/jppipa.v9i4.2722

Published:

2023-04-30

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Abstract

This study aimed to develop a hypothesis learning trajectory that can help students understand the concept of volume polyhedron based on van Hiele's theory. This study used a design research method with a type of validation studies to create a design framework for learning trajectories passed by students in mathematics learning. The study focusedon the first stage, i.e. preliminary design to develop a sequence of volume learning activities to polyhedron used the stages of the van hiele theory. The results of this study show the learning activities that will be traversed by students and teachers in understanding the concept of volume up the flat side space through the four stages of van Hiele i.e. 1) visualization stage at  which students find the prism volume; 2) analysis phase at which students find the volume of cuboid obtained from the prism volume; 3) informal deduction phase at which student finds the volume of the cube from the building of the cuboid with the same length and height; 4) formal deduction phase at which student to find the formula for the volume of pyramid.

Keywords:

Hypothetical learning trajectory Van hiele’s theory Volume polyhedron

References

Amador, J., & Lamberg, T. (2013). Learning Trajectories, Lesson Planning, Affordances, and Constraints in The Design and Enactment of Mathematics Teaching. Mathematical Thinking and Learning, 15(2), 146–170. https://doi.org/10.1080/10986065.2013.770719

Breyfogle, M. L., & Lynch, C. M. (2020). van Hiele Revisited. Mathematics Teaching in the Middle School, 16(4), 232–238. https://doi.org/10.5951/mtms.16.4.0232

BSNP. (2016). Laporan hasil ujian nasional tahun pelajaran 2015- 2016. Balitbang Kemdikbud RI.

BSNP. (2017). Laporan Hasil Ujian Nasional Tahun Pelajaran 2016-2017. Balitbang Kemdikbud RI.

BSNP. (2018). Laporan Hasil Ujian Nasional Tahun Pelajaran 2017-2018. In Balitbang Kemdikbud RI.

Crowley, M. (1987). The Van Hiele Model of The Development of Geometric Thought. Learning and Teaching Geometry, 12, 1–16. Retrieved from https://www.cnseoc.colostate.edu/docs/math/mathactivities/june2007/The van Hiele Model of the Development of Geometric Thought.pdf

Fuys, D., Geddes, D., & Tischler, R. (1988). The Van Hiele Model of Thinking in Geometry among Adolescents. Journal for Research in Mathematics Education. Monograph, 3(1988), i. https://doi.org/10.2307/749957

Gravemeijer, K., Bowers, J., & Stephan, M. (2003). Learning Trajectory on Measurement and Flexible Arithmetic. Journal for Research in Mathematics Education, 12, 51–66. https://doi.org/10.2307/30037721

Gravemeijer, K., & Eerde, D. (2009). Design Research as A Means for Building A Knowledge Base for Teachers and Teaching in Mathematics Education. The Elementary School Journal, 109(5), 510–524. https://doi.org/10.1086/596999

Haviger, J., & Vojkůvková, I. (2015). The van Hiele Levels at Czech Secondary Schools. Procedia - Social and Behavioral Sciences, 171, 912–918. https://doi.org/10.1016/j.sbspro.2015.01.209

Hiele, P. M. (1999). Developing Geometric Thinking Through Activities that Begin with Play. Teaching Children Mathematics, 6, 310–316. Retrieved from https://www.numbersense.co.za/wp-content/uploads/2020/07/Van-Hiele_learning-through-play.pdf

Mullis, I. V. S., Martin, M. O., Foy, P., & Arora, A. (2012). Results in mathematics. Boston College.

Novianti, D. E., & Khoirotunnisa’, A. U. (2016). Pengembangan Perangkat Pembelajaran Berbasis Pengajuan dan Pemecahan Masalah pada Matakuliah Program Linear Prodi Pendidikan Matematika IKIP PGRI Bojonegoro. Jurnal Ilmiah Pendidikan Matematika, 5(1), 11–16. https://doi.org/10.25273/jipm.v5i1.850

Nurdin, N. (2011). Trajektori dalam Pembelajaran Matematika. Edumatica, 1(1), 1–7. https://doi.org/10.22437/edumatica.v1i01.189

O.E.C.D. (2017). PISA 2015 results. OECD. Retrieved from https://www.oecd.org/publications/pisa-2015-results-volume-v-9789264285521-en.htm

Prahmana, R. C. I. (2017). Design Research: (Teori dan Implementasinya: Suatu Pengantar). PT Raja Grafindo Persada.

Rezky, R., & Wijaya, A. (2018). Designing hypothetical learning trajectory based on van hiele theory: a case of geometry. Journal of Physics: Conference Series, 1097, 012129. https://doi.org/10.1088/1742-6596/1097/1/012129

Sardjana, A. (2008). Materi Pokok Geometri Ruang. Universitas Terbuka.

Simon, M. A. (1995). Reconstructing Mathematics Pedagogy from A Constructivist Perspective. Journal for Research in Mathematics Education, 26(2), 114–145. https://doi.org/10.2307/749205

van den Akker, J., Gravemeijer, K., McKenney, S., & Nieveen, N. (2006). Introducing educational design research. In Educational Design Research (1st ed., pp. 1–164). Routledge. https://doi.org/10.4324/9780203088364

Walle, J. A. (2007). Elementary and middle school mathematics: teaching developmentally (6th ed.). Pearson Education.

Wijaya, A. F. C. (2015). Profil Kemampuan Analisis Respon Siswa melalui Hypothetical Learning Trajectory ( HLT ) sebagai Instrumen Pembelajaran dalam Pengembangan Beragam Kemampuan Siswa. Prosiding Simposium Nasional Inovasi Dan Pembelajaran Sains, 2015(Snips), 185–188. Retrieved from https://ifory.id/proceedings/2015/z4pZjcJkq/snips_2015_a._f._c._wijaya_ce2dd13f2edb27dc0ad23461bd7901f4.pdf

Wittek, L. (2013). The Activity of “Writing for Learning†in a Nursing Program. Outlines. Critical Practice Studies, 14(1), 73–94. https://doi.org/10.7146/ocps.v14i1.5170

Author Biographies

Ernawati Jais, Universitas Dayanu Ikhsanuddin

Author Origin : Indonesia

Anwar Anwar, Universitas Dayanu Ikhsanuddin

Author Origin : Indonesia

Raizal Rezky, Universitas Dayanu Ikhsanuddin

Author Origin : Indonesia

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How to Cite

Jais, E., Anwar, A., & Rezky, R. . (2023). Hypothesis Design of Learning Trajectory Volume Building Flat Sided Spaces in Junior High Schools: Based on Van Hiele’s Theory. Jurnal Penelitian Pendidikan IPA, 9(4), 1778–1785. https://doi.org/10.29303/jppipa.v9i4.2722