Penalaran Proporsional Siswa SMP dalam Menyelesaikan Masalah Missing Value dan Comparison Berdasarkan Gaya Kognitif Sistematis

  • Isman M. Nur STKIP Kie Raha
  • Diah Prawitha Sari Universitas Khairun

Abstract

This study aims to describe students' proportional reasoning based on systematic cognitive style in solving missing value and comparison problems. This research is a qualitative research with an exploratory descriptive approach. The research subjects were seventh grade students of SMP Negeri 4 Ternate City. Research subjects were not chosen randomly, but were chosen based on consideration of communication skills both oral and written in solving problems. The research instrument consisted of two questions as well as an assistive instrument in the form of an interview guide which was adapted to the conditions at the time of research in the field. The results of this study are, 1) students make plans in advance to write down two quantities that have variations together and also see the suitability between the two different variations, 2) students can understand the proper procedure for presenting quantities in the form of ratios, 3) students can solve problems according to detailed steps based on multiplicative concepts by using multiplication strategies involving proportion situations, 4) students give reasons based on data or information related to problems and can be solved with proportional ideas

References

Babai, R., Cohen, E., & Stavy, R. (2018). Proportional reasoning: Reducing the interference of natural numbers through an intervention based on the problem-solving framework of executive functions. Neuroeducation, 5(2), 109–118.

Bayazit, I. (2013). Quality of the tasks in the new Turkish elementary mathematics textbooks: The case of proportional reasoning. International Journal of Science and Mathematics Education, 11(3), 651–682. https://doi.org/10.1007/s10763-012-9358-8

Beckmann, S., & Izsák, A. (2015). Two Perspectives on Proportional Relationships: Extending Complementary Origins of Multiplication in Terms of Quantities. Journal for Research in Mathematics Education, 46(1), 17–38. https://doi.org/10.5951/jresematheduc.46.1.0017

Cetin, H., & Ertekin, E. (2011). The Relationship Between Eighth Grade Primary School Students’ Proportional Reasoning Skills and Success in Solving Equations. International Journal of Instruction, 4(1), 16.

Chaim, D. B., Keret, Y., & Ilany, S. B. (2012). Ratio and Proportion: Research and teaching in Mathematics Teachers’ Education (Pre- and In-Service Mathematics Teacher of Elementary and Middle School Classes). Sense Publishers, Netherland. https://www.sensepublishers.com.

Cheng, V. M. Y. (2016). Understanding and enhancing personal transfer of creative learning. Thinking Skills and Creativity, 22, 58–73. https://doi.org/10.1016/j.tsc.2016.09.001

Cruz, J. (2016). Changes in One Teacher’s Proportional Reasoning Instruction after Participating in a CGI Professional Development Workshop. Universal Journal of Educational Research, 4(11), 2551–2567. https://doi.org/10.13189/ujer.2016.041108

Dubovi, I., Levy, S. T., & Dagan, E. (2018). Situated Simulation-Based Learning Environment to Improve Proportional Reasoning in Nursing Students. International Journal of Science and Mathematics Education, 16(8), 1521–1539. https://doi.org/10.1007/s10763-017-9842-2

Felder, R. M., & Spurlin, J. (2005). Applications, reliability and validity of the index of learning styles. International Journal of Engineering Education, 21(1), 103–112

Fernández, C., Llinares, S., Van Dooren, W., De Bock, D., & Verschaffel, L. (2012). The development of students’ use of additive and proportional methods along primary and secondary school. European Journal of Psychology of Education, 27(3), 421–438. https://doi.org/10.1007/s10212-011-0087-0

Hwang, Y. M., & Lee, K. C. (2015). Exploring the Impacts of Consumers’ Systematic and Intuitive Cognitive Styles on Their Visual Attention Patterns in Online Shopping Environments: Emphasis on Eye-Tracking Method. International Journal of Multimedia and Ubiquitous Engineering, 10(12), 175–182.

Jena, D. P. C. (2014). Cognitive Styles and Problem Solving Ability of Under Graduate Students. International Journal of Education and Psychological Research, 3(2),71-76.

Jitendra, A. K., Jon, R. S., Starosta, K., Jayne, M. L., & Sheetal, S. (2009). Improving Seventh Grade Students’ Learning of Ratio and Proportion: The Role of Schema- Based Instruction. Contemporary Educational Psychology, 34(3), 250–264. https://doi.org/DOI:10.1016/j. cedpsych.2009. 06.001

Johar, R., & Yusniarti, S. (2018). The Analysis of Proportional Reasoning Problem in The Indonesia Mathematics Textbook For The Junior High Scool. Journal on Mathematics Education, 9(1), 55–68.

Katoch, K. S., & Thakur, M. (2016). Cognitive Styles of Secondary School Teachers. International Journal of Advanced Research in Education & Technology, 3(4), 147–150.

Livy, S., & Herbert, S. (2013). Second-Year Pre-Service Teachers’ Responses to Proportional Reasoning Test Items. Australian Journal of Teacher Education, 38(11), 17–32. https://doi.org/10.14221/ajte.2013v38n11.7

Martin, L. P. (1998).‚ The Cognitive-style Inventory. The Pfeiffer Library, 8, 123.

Norton, S. (2006). Pedagogies for the engagement of girls in the learning of proportional reasoning through technology practice. Mathematics Education Research Journal, 18(3), 69–99. https://doi.org/10.1007/BF03217443

Ojose, B. (2015). Proportional Reasoning and Related Concepts: Analysis of Gaps and Understandings of Middle Grade Students. Universal Journal of Educational Research, 3(2), 104–112. https://doi.org/10.13189/ujer.2015.030206

Pelen, M. S., & Artut, erihan D. (2016). Seventh grade students’ problem solving success rates on proportional reasoning problems. International Journal of Research in Education and Science, 2(1), 30–34.

Ramful, A., & Narod, F. B. (2014). Proportional reasoning in the learning of chemistry: Levels of complexity. Mathematics Education Research Journal, 26(1), 25–46. https://doi.org/10.1007/s13394-013-0110-7

Remigio, K. B., Yangco, R. T., & Espinosa, A. A. (2014). Analogy-Enhanced Instruction: Effects on Reasoning Skills in Science. 2(2), 1–9.

Sappaile, B. I. (2007). Pengaruh Kemampuan Penalaran Formal Terhadap Prestasi Belajar Matematika dengan Memperhatikan Tingkat Pendidikan Ayah Siswa. Jurnal Penelitian Bidang Pendidikan, 13, 99–109.

Silvestre, A. I., & Da Ponte, J. P. (2012). Missing value and comparison problems: What pupils know before the teaching of proportion. PNA. Revista de Investigación En Didáctica de La Matemática, 6(3), 73–83. https://doi.org/10.30827/pna.v6i3.6142

Steinthorsdottir, O. B., & Sriraman, B. (2009). Icelandic 5th-grade girls’ developmental trajectories in proportional reasoning. Mathematics Education Research Journal, 21(1), 6–30. https://doi.org/10.1007/BF03217536

Sumarto, S. N., Galen, F. V., Zulkardi, Z., & Darmawijoyo, D. (2013). Proportional Reasoning: How do the 4th Graders Use Their Intuitive Understanding? International Education Studies, 7(1), 69–80. https://doi.org/10.5539/ies.v7n1p69

Suriasumantri, J. S. (1990). Filsafat Ilmu Sebuah Pengantar Populer. Jakarta: Pustaka Sinar Harapan.

Tall, D. (2008). The Transition to Formal Thinking in Mathematics. Mathematics Education Research Journal, 20(1), 5–24.

Tjoe, H., & de la Torre, J. (2014). On recognizing proportionality: Does the ability to solve missing value proportional problems presuppose the conception of proportional reasoning? The Journal of Mathematical Behavior, 33, 1–7.

Walle, J. A. V. D. (2007). Elementary and middle school mathematics: Teaching developmentally (Sixth Edition). Pearson Education, Inc.

Published
2022-11-08
How to Cite
Nur, I., & Sari, D. (2022). Penalaran Proporsional Siswa SMP dalam Menyelesaikan Masalah Missing Value dan Comparison Berdasarkan Gaya Kognitif Sistematis. Jurnal Ilmiah Wahana Pendidikan, 8(21), 467-482. https://doi.org/10.5281/zenodo.7302157