Kemampuan Membaca, Menulis, dan Membuktikan Siswa dalam Menyelesaikan Masalah Kesebangunan Dua Segitiga
DOI:
https://doi.org/10.30762/f_m.v5i1.535Keywords:
Membaca, Menulis, Membuktikan, Menyelesaikan Masalah Kesebangunan, Jenis KelaminAbstract
Penelitian ini bertujuan untuk mengetahui (1) apakah terdapat perbedaan kemampuan membaca, menulis, membuktikan, dan menyelesaikan masalah kesebangunan dua segitiga antara siswa laki-laki dan perempuan (2) bagaimana perbedaan kemampuan membaca, menulis, membuktikan, dan menyelesaikan masalah kesebangunan dua segitiga antara siswa laki-laki dan perempuan. Jenis penelitian ini adalah mixed method. Populasi ini adalah seluruh siswa kelas X MIPA SMA Negeri 20 Surabaya, sampel penelelitian ini adalah kelas X MIPA 6 yang terdiri dari 18 siswa laki-laki dan 10 siswa perempuan, dan subjek penelitian ini ada 4 siswa yaitu, siswa laki-laki berkemampuan tinggi, siswa perempuan berkemampuan tinggi, siswa laki-laki berkemampuan rendah, dan siswa perempuan berkemampuan rendah. Hasil penelitian menunjukkan bahwa (1) tidak ada perbedaan rata-rata niai kemampuan membaca dan menulis siswa laki-laki dan perempuan, ada perbedaan rata-rata nilai kemampuan membuktikan siswa laki-laki dan perempuan, dan tidak ada perbedaan rata-rata nilai kemampuan menyelesaikan masalah (2) Siswa yang mampu melakukan langkah-langkah pembuktian cenderung lebih baik dalam menyelesaikan masalah kesebangunan.
This study aims to determine (1) whether there are differences in the reading, writing, prooing ability on solving triangle similarity between male and female students (2) how are the differences in the reading writing, and proving ability on solving triangles similarity between male and female students. The type of this study is mixed method. The population is all students of X MIPA SMA Negeri 20 Surabaya, the sample of this study is X MIPA-6 which consists of 18 male and 10 female students, and the subjects of this study were 4 students, namely, high ability male students, female students with high abilities, male students with low abilities, and female students with low abilities. The results showed that (1) there was no difference in the average scores of male and female students' reading and writing abilities, there was a difference in the average scores of male and female students' proving abilities, and there was no difference in the average scores for the ability on solving problem (2) students who were able to do some proving steps tend to be better at solving similarity problems.
References
Adams, T. L. (2003). Reading mathematics: More than words can say. The Reading Teacher, 56(8), 786–795.
Adu-Gyamfi, K., Bossé, M. J., & Faulconer, J. (2010). Assessing Understanding Through Reading and Writing in Mathematics. International Journal for Mathematics Teaching & Learning.
Akinmola, E. A. (2014). Developing Mathematical Problem Solving Ability: a Panacea for a Sustainable Development in the 21 St Century. International Journal of Education and Research, 2(2), 1–8.
AMTE. (2017). Standards for preparing teachers of mathematics. Retrieved from AMTE (Association of Mathematics Teacher Educators) website: amte.net/standards
Avalos, M. A., Bengochea, A., & Secada, W. G. (2015). Reading mathematics: More than words and clauses; more than numbers and symbols on a page. In Improving reading comprehension of middle and high school students (pp. 49–74). Springer.
Barton, M. L., Heidema, C., & Jordan, D. (2002). Teaching reading in mathematics and science. Educational Leadership, 60(3), 24–28.
Biber, A. Ç. (2020). Students’ difficulties in similar triangle questions. Cypriot Journal of Educational Sciences, 15(5), 1146–1159.
Bicer, A., Capraro, R. M., & Capraro, M. M. (2013). Integrating Writing into Mathematics Classroom to Increase Students’ Problem Solving Skills. International Online Journal of Educational Sciences, 5(2), 361–369.
Blakemore, J. E. O., Berenbaum, S. A., & Liben, L. S. (2009). Gender Development. In Gender development. New York, NY, US: Psychology Press.
Bleiler-Baxter, S. K., & Pair, J. D. (2017). Engaging students in roles of proof. The Journal of Mathematical Behavior, 47, 16–34.
Bossé, M. J., Lee, T. D., Swinson, M., & Faulconer, J. (2010). The NCTM Process Standards and the Five Es of Science: Connecting Math and Science. School Science and Mathematics, 110(5), 262–276. https://doi.org/10.1111/j.1949-8594.2010.00033.x
Burns, M. (2004). Writing in math. Educational Leadership, 62(2), 30–33.
CCSSO. (2010). Common core state standards for mathematics. Retrieved from Common core state standards for mathematics website: http://www.corestandards.org/wp-content/uploads/Math_Standards.pdf
Cooper, A. (2012). Today’s Technologies Enhance Writing in Mathematics. The Clearing House: A Journal of Educational Strategies, Issues and Ideas, 85(2), 80–85. https://doi.org/10.1080/00098655.2011.624394
Cox, D. C., & Lo, J. J. (2014). Detecting distortion: Bridging visual and quantitative reasoning on similarity tasks. Mathematics Education Research Journal, 26(1), 1–23. https://doi.org/10.1007/s13394-013-0108-1
Cuaprioarua, D. (2015). Problem solving-purpose and means of learning mathematics in school. Procedia-Social and Behavioral Sciences, 191, 1859–1864.
Freeman, B., Higgins, K. N., & Horney, M. (2016). How Students Communicate Mathematical Ideas: An Examination of Multimodal Writing Using Digital Technologies. Contemporary Educational Technology, 7(4), 281–313.
Garnier, R., & Taylor, J. (1996). 100% mathematical proof. John Wiley & Son Ltd.
Graham, S. (2020). Reading and Writing Connections: A Commentary. In R. A. Alves, T. Limpo, & R. M. Joshi (Eds.), Reading-Writing Connections: Towards Integrative Literacy Science (pp. 313–317). https://doi.org/10.1007/978-3-030-38811-9_19
Güler, G., Özdemir, E., & Dikici, R. (2012). Pre-service teachers’ proving skills using mathematical induction and their views on mathematical proving. Kastamonu University Journal of Education, 20(1), 219–236.
Handayani, U. F., Hakim, W., & Putri, A. O. (2022). Analisis Kesalahan Mahasiswa dalam Pembuktian Identitas Trigonometri. Journal Focus Action of Research Mathematic (Factor M), 4(2), 27–42. https://doi.org/10.30762/factor_m.v4i2.4146
Hanna, G. (2020). Mathematical Proof, Argumentation, and Reasoning. In S. Lerman (Ed.), Encyclopedia of Mathematics Education (pp. 561–566). https://doi.org/10.1007/978-3-030-15789-0_102
Hebert, M. A., & Powell, S. R. (2016). Examining fourth-grade mathematics writing: features of organization, mathematics vocabulary, and mathematical representations. Reading and Writing, 29(7), 1511–1537. https://doi.org/10.1007/s11145-016-9649-5
Karimah, R. K. N., Kusmayadi, T. A., & Pramudya, I. (2018). Analysis of difficulties in mathematics learning on students with guardian personality type in problem-solving {HOTS} geometry test. Journal of Physics: Conference Series, 1008, 12076. https://doi.org/10.1088/1742-6596/1008/1/012076
Kaur, B., & Har, Y. B. (2009). Mathematical problem solving in Singapore schools. In Mathematical Problem Solving: Yearbook 2009, Association of Mathematics Educators (pp. 3–13). World Scientific.
King, B., Raposo, D., & Gimenez, M. (2016). Promoting Student Buy-In: Using Writing to Develop Mathematical Understanding. Georgia Educational Researcher, 13(2), 33–52.
Knuth, E., Zaslavsky, O., & Ellis, A. (2019). The role and use of examples in learning to prove. The Journal of Mathematical Behavior, 53, 256–262.
Larwin, K. H. (2010). Reading is fundamental in predicting math achievement in 10th graders. International Electronic Journal of Mathematics Education, 5(3), 131–145. https://doi.org/10.29333/iejme/254
Maharani, R. (2019). Perbedaan Tingkat Kecemasan Matematika, Kecerdasan Matematis Logis, dan Kecerdasan Spiritual terhadap Penyelesaian Pembuktian Matematika. Journal Focus Action of Research Mathematic (Factor M), 1(2), 90–105. https://doi.org/10.30762/factor_m.v1i2.1308
NCTM. (2000). Principles and Standards for School Mathematics.
Olsker, T. C. (2011). What do we mean by mathematical proof? Journal of Humanistic Mathematics, 1(1), 33–60.
Österholm, M. (2006). A reading comprehension perspective on problem solving. MADIF 5, the 5th Swedish Mathematics Education Research Seminar, January 24-25, Malmö, Sweden, 136–145.
Otten, S., Males, L. M., & Gilbertson, N. J. (2014). The introduction of proof in secondary geometry textbooks. International Journal of Educational Research, 64, 107–118. https://doi.org/10.1016/j.ijer.2013.08.006
Peterson, S. S., & Rochwerger, L. (2006). Cross-curricular literacy: Writing for learning in a science program. Voices from the Middle, 14(2), 31–37.
Phonapichat, P., Wongwanich, S., & Sujiva, S. (2014). An analysis of elementary school students’ difficulties in mathematical problem solving. Procedia-Social and Behavioral Sciences, 116(1), 3169–3174.
Poon, K. K., & Wong, K. L. (2017). Pre-constructed dynamic geometry materials in the classroom – how do they facilitate the learning of ‘Similar Triangles’? International Journal of Mathematical Education in Science and Technology, 48(5), 735–755. https://doi.org/10.1080/0020739X.2016.1264636
Pugalee, D. K. (2004). A Comparison of Verbal and Written Descriptions of Students’ Problem Solving Processes. Educational Studies in Mathematics, 55(1), 27–47. https://doi.org/10.1023/B:EDUC.0000017666.11367.c7
Pugalee, D. K. (2015). Effective content reading strategies to develop mathematical and scientific literacy: Supporting the common core state standards and the next generation science standards. Rowman & Littlefield.
Puloo, M. M. L., Juniati, D., & Wijayanti, P. (2018). Visualization Profile of Junior High School Students in Solving Geometry Problems Viewed from Gender Differences. Journal of Physics: Conference Series, 1108(1). https://doi.org/10.1088/1742-6596/1108/1/012063
Quealy, C. (2014). The Importance of Writing in Mathematics: Why writing allows for a deeper understanding of the mathematical content. The Review: A Journal of Undergraduate Student Research, 15(1), 19–22.
Reid, D. A. (2011). Understanding proof and transforming teaching. In T. Lamberg & Lynda R. Wiest (Eds.), Proceedings of the 33rd annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 15–30). Reno, Nevada: University of Nevada.
Rokhima, W. A., Kusmayadi, T. A., & Fitriana, L. (2019). Mathematical reasoning of student in senior high school based on gender differences. Journal of Physics: Conference Series, 1318(1). https://doi.org/10.1088/1742-6596/1318/1/012092
Santos-Trigo, M. (2019). Problem-Solving in Mathematics Education. In Steve Lerman (Ed.), Encyclopedia of Mathematics Education (pp. 1–7). https://doi.org/10.1007/978-3-319-77487-9_129-5
Seago, N., Jacobs, J., Driscoll, M., Nikula, J., Matassa, M., & Callahan, P. (2013). Developing Teachers’ Knowledge of a Transformations-Based Approach to Geometric Similarity. Mathematics Teacher Educator, 2(1), 74–85. https://doi.org/10.5951/mathteaceduc.2.1.0074
Şengül, S., & Güner, P. (2014). Relationship between Proof Schemes Used by Preservice Mathematics Teachers and Gender, Views towards Proof. Procedia - Social and Behavioral Sciences, 116(1998), 617–620. https://doi.org/10.1016/j.sbspro.2014.01.267
Seo, B.-I. (2015). Mathematical writing: what is it and how do we teach it? Journal of Humanistic Mathematics, 5(2), 133–145.
Serin, H. (2018). Perspectives on the Teaching of Geometry: Teaching and Learning Methods. Journal of Education and Training, 5, 1. https://doi.org/10.5296/jet.v5i1.12115
Setiawan, Y. E. (2020). Analisis Kemampuan Siswa dalam Pembuktian Kesebangunan Dua Segitiga. Al-Khwarizmi: Jurnal Pendidikan Matematika Dan Ilmu Pengetahuan Alam, 8(1), 23–38. https://doi.org/10.24256/jpmipa.v8i1.800
Shepherd, M. D., & Sande, C. C. Van De. (2014). The Journal of Mathematical Behavior Reading mathematics for understanding — From novice to expert. Journal of Mathematical Behavior, 35, 74–86. https://doi.org/10.1016/j.jmathb.2014.06.003
Shepherd, M. D., Selden, A., & Selden, J. (2009). Difficulties First-Year University Mathematics Students Have in Reading Their Mathematics Textbook. Technical Report. No. 2009-1. Online Submission.
Singhal, R., Henz, M., & McGee, K. (2014). Automated Generation of Geometry Questions for High School Mathematics. Proceedings Ofthe6thInternationalConferenceonComputerSupportedEducation (CSEDU-2014), 14–25.
Stylianides, A. J. (2016). Proving in the elementary mathematics classroom. Oxford University Press.
Stylianides, A. J., Bieda, K. N., & Morselli, F. (2016). Proof and argumentation in mathematics education research. In Á. Gutiérrez, G. C. Leder, & P. Boero (Eds.), The second handbook of research on the psychology of mathematics education (pp. 315–351). SensePublishers, Rotterdam.
Susanah. (2015). Profil Penalaran Mahasiswa Calon Guru Dalam Membuktikan Teorema Segitiga Ditinjau dari Perbedaan Kemampuan Matematika. Prosiding Seminar Nasional Hasil Penelitian Dan Pengabdian Kepada Masyarakat (PPM) Lembaga Penelitian Dan Pengabdian Kepada Masyarakata Universitas Negeri Surabaya, 392–404. Surabaya: LPPM UNESA SURABAYA.
Susanah. (2017). Proses Penalaran Calon Guru dalam Membuktikan Teorema Kesebangunan Segitiga Ditinjau dari Kemampuan Matematika dan Gender. Universitas Negeri Surabaya.
Teuscher, D., Kulinna, P. H., & Crooker, C. (2015). Writing to learn mathematics: An update. The Mathematics Educator, 24(2).
Timayi, J. M., Bolaji, C., & Kajuru, Y. K. (2015). Effects of Jigsaw IV Cooperative Learning Strategy (J4CLS) on Academic Performance of Secondary School Students in Geometry. International Journal of Mathematics Trends and Technology, 28(1), 12–18. https://doi.org/10.14445/22315373/ijmtt-v28p504
Vinner, S. (1977). The concept of exponentiation at the undergraduate level and the definitional approach. Educational Studies in Mathematics, 8(1), 17–26. https://doi.org/10.1007/BF00302501
Wallace, F. H., & Clark, K. K. (2005). Reading Stances in Mathematics: Positioning Students and Texts. Action in Teacher Education, 27(2), 68–79. https://doi.org/10.1080/01626620.2005.10463384
Woolley, G. (2011). Reading Comprehension: Assisting Children with Learning Difficulties. https://doi.org/10.1007/978-94-007-1174-7
Yackel, E., & Hanna, G. (2003). Reasoning and proof. In J. Kilpatrick, W. G. Martin, & Deborah Schifter (Eds.), A research companion to principles and standards for school mathematics (pp. 227–236). Reston, VA : National Council of Teachers of Mathematics.
Yadrika, G., Amelia, S., & Roza, Y. (2019). Analisis Kesalahan Siswa SMP dalam Menyelesaikan Soal Pada Materi Teorema Pythagoras dan Lingkaran. JPPM, 12(2).
Zhang, D., & Qi, C. (2019). Reasoning and proof in eighth-grade mathematics textbooks in China. International Journal of Educational Research, 98(July), 77–90. https://doi.org/10.1016/j.ijer.2019.08.015
