Teachers' Multiple Representations on Teaching Fractions at Elementary School: A Commognitive Framework
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Afriyani, D., Sa’Dijah, C., Subanji, S., & Muksar, M. (2019). Students’ construction error in translation among mathematical representations. Journal of Physics: Conference Series, 1157(3). https://doi.org/10.1088/1742-6596/1157/3/032098
Anthony, G., & Walshaw, M. (2009). Characteristics of effective teaching of mathematics: A view from the West. Journal of Mathematics Education, 2(2), 147–164.
Anwar, R. B., & Rahmawati, D. (2017). Symbolic and Verbal Representation Process of Student in Solving Mathematics Problem Based Polya’s Stages. International Education Studies, 10(10), 20. https://doi.org/10.5539/ies.v10n10p20
Braseth, E. A. (2022). Mathematics Teachers’ Perceptions of Teaching Practices Alignment with Ambitious Teaching. Mathematics Teacher Education and Development, 24(1), 23–38.
Clark, R. C., & Mayer, R. E. (Eds.). (2016). e‐Learning and the Science of Instruction. Wiley. https://doi.org/10.1002/9781119239086
Duval, R. (2006). A Cognitive Analysis of Problems of Comprehension in a Learning of Mathematics. Educational Studies in Mathematics, 61(1–2), 103–131. https://doi.org/10.1007/s10649-006-0400-z
Gagatsis *, A., & Shiakalli, M. (2004). Ability to Translate from One Representation of the Concept of Function to Another and Mathematical Problem Solving. Educational Psychology, 24(5), 645–657. https://doi.org/10.1080/0144341042000262953
Greeno, J. G., Hall, R. P., The, S., Delta, P., & Jan, N. (1997). Practicing Learning Representation with and About Representational Forms Every student ’ s educational activities should include the rich variety of experience and learning through participation in representation ,. Phi Delta Kappan, 78(5), 361–367.
Hidayah, I. N., Irawati, S., Agung, M., Sa’dijah, C., & Sudirman, S. (2023). Creative Conjecture: Abductive Reasoning to Generate Some Ideas in Algebra. Mathematics Teaching-Research Journal, 15(1), 108–126.
Hiebert, J., Carpenter, T. P., Fennema, E., Fuson, K. C., Wearne, D., Murray, H., Olivier, A., & Human, P. (1997). Making Sense: Teaching and Learning Mathematics with Understanding. Reed Elsevier Inc.
Hiebert, J., & Tonnessen, L. H. (1978). Development of the Fraction Concept in Two Physical Contexts: An Exploratory Investigation. In Source: Journal for Research in Mathematics Education (Vol. 9, Issue 5). http://www.jstor.orgURL:http://www.jstor.org/stable/748774
Inayati, U. (2022). Konsep dan Implementasi Kurikulum Merdeka pada Pembelajaran Abad-21 di SD/MI. 2st ICIE: International Conference on Islamic Education, 2, 293–304.
Johnson, E. L. (2018). A New Look at the Representations for Mathematical Concepts: Expanding on Lesh’s Model of Representations of Mathematical Concepts. Forum on Public Policy Online, 1(1), 1–11.
Kim, D., Choi, S., & Lim, W. (2017). Sfard’s Commognitive Frameword as a Method of Discourse Analysis in Mathematics. 11(11), 448–452.
NCTM. (2000). Principles and Standards for School Mathematics. The National Council of Teachers of Mathematics, Inc.
Nithyanantham, V., Paulmony, R., & Ramadan Hasan, S. (2019). Self-Perspective of 21st Century Educators: A Challenge in The Globalised Educational World. International Journal of Educational Research Review, 4(3), 325–333. https://doi.org/10.24331/ijere.573869
Nurrahmawati, N., Sa’dijah, C., Sudirman, S., & Muksa, M. (2019). Multiple representations’ ability in solving word problem. International Journal of Recent Technology and Engineering, 8(1C2), 737–745. https://doi.org/10.4108/eai.20-9-2019.2292114
Nurrahmawati, Sa’dijah, C., Sudirman, & Muksar, M. (2021). Assessing students’ errors in mathematical translation: From symbolic to verbal and graphic representations. International Journal of Evaluation and Research in Education, 10(1), 115–125. https://doi.org/10.11591/ijere.v10i1.20819
Nurrahmawati, Sa’dijah, C., Sudirman, Muksar, M., As’ari, A. R., & Nusantara, T. (2018). Pre-service mathemathics teachers’ preferences in Using multiple representation of word problem solving. International Journal of Insight for Mathematics Teaching, 01(2), 141–150.
Perkins, D. (1998). Teaching for understanding. In The Teaching for Understanding Guide (Vol. 17). Jossey-Bass. https://doi.org/10.1021/ed079p775
Prayitno, L. L., Purwanto, P., Subanji, S., Susiswo, S., & As’ari, A. R. (2020). Exploring student’s representation process in solving ill-structured problems geometry. Participatory Educational Research, 7(2), 183–202. https://doi.org/10.17275/PER.20.28.7.2
Presmeg, N. C. (1986). Visualisation and mathematical giftedness. Educational Studies in Mathematics, 17(3), 297–311. https://doi.org/10.1007/BF00305075
Purnomo, P. (2021). Analisis Persepsi Kemampuan Transferable Skills Guru Sekolah Menengah Kejuruan Program Keahlian Ganda Ditinjau Dari Usia dan Jenis Bidang Keahlian. Jurnal Pendidikan: Teori, Penelitian, Dan Pengembangan, 6(12), 1907. https://doi.org/10.17977/jptpp.v6i12.15168
Rahayuningsih, S., Sirajuddin, S., & Ikram, M. (2021). Using open-ended problem-solving tests to identify students’ mathematical creative thinking ability. Participatory Educational Research, 8(3), 285–299. https://doi.org/10.17275/per.21.66.8.3
Rahmawati, D., Purwanto, Subanji, Hidayanto, E., & Anwar, R. B. (2017). Dwi R dkk. International Electronic Journal of Mathematics Education, 12(3), 367–381.
Raj Acharya, B. (2017). Factors Affecting Difficulties in Learning Mathematics by Mathematics Learners. International Journal of Elementary Education, 6(2), 8. https://doi.org/10.11648/j.ijeedu.20170602.11
Ramadani, F., & Desyandri. (2022). Konsep Kurikulum Merdeka Belajar terhadap Pandangan Filsafat Progresivisme. Pendas : Jurnal Ilmiah Pendidikan Dasar, 7(2), 1239–1251.
Rau, M. A., & Matthews, P. G. (2017). How to make ‘more’ better? Principles for effective use of multiple representations to enhance students’ learning about fractions. ZDM, 49(4), 531–544. https://doi.org/10.1007/s11858-017-0846-8
Rosita, E. (2019). The effectiveness of multiple representation-based learning to improve students’ mathematical problem-solving ability. Journal of Physics: Conference Series.
Sa’adah, N., Faizah, S., Sa’dijah, C., Khabibah, S., & Kurniati, D. (2023). Students’ Mathematical Thinking Process in Algebraic Verification Based on Crystalline Concept. Mathematics Teaching-Research Journal, 15(1), 90–107.
Sa’dijah, C., Murtafiah, W., Anwar, L., & Sa’diyah, M. (2023). Exploring the content knowledge of prospective mathematics teacher students in designing HOTS questions. 040017. https://doi.org/10.1063/5.0113669
Santulli, T. (2009). Representations from the Real World. Mathematics Teaching in the Middle School, 14(8), 466–473. https://doi.org/10.5951/MTMS.14.8.0466
Scott, P. (2000). Globalisation and Higher Education: Challenges for the 21st Century. Journal of Studies in International Education, 4(1), 3–10. https://doi.org/10.1177/102831530000400102
Setyaningrum, W. (2017). Analisis kesalahan siswa SD dalam menyelesaikan soal pecahan ditinjau dari faktor kognitif. Jurnal Cakrawala Pendidikan, 36(6).
Sfard, A. (2008). Thinking as Communicating. Cambridge University Press. https://doi.org/10.1017/CBO9780511499944
Shuard, H., & Rothery, A. (1984). Childern Reading Mathematics. J. Murray.
Sunarni, S., & Karyono, H. (2023). Persepsi Guru Terhadap Implementasi Kurikulum Merdeka Belajar di Sekolah Dasar. Journal on Education, 5(2), 1613–1620. https://doi.org/10.31004/joe.v5i2.796
Tomkelski, M. L., Baptista, M., & Richit, A. (2023). Physics teachers’ learning on the use of multiple representations in lesson study about Ohm’s law. European Journal of Science and Mathematics Education, 11(3), 427–444. https://doi.org/10.30935/scimath/12906
Tripathi, P. N. (2008). Developing Mathematical Understanding through Multiple Representations. Mathematics Teaching in the Middle School, 13(8), 438–445. https://doi.org/10.5951/MTMS.13.8.0438
You, Z., & Quinn, R. J. (2010). Prospective Elementary and Middle School Teachers’ Knowledge of Linear Functions: A Quantitative Approach. Journal of Mathematics Education © Education for All, 3(1), 66–76.
Zayyadi, M., Nusantara, T., Hidayanto, E., Sulandra, I. M., & Sa’dijah, C. (2020). Content and Pedagogical Knowledge of Prospective Teachers in Mathematics Learning: Commognitive. Journal for the Education of Gifted Young, 8(1), 515–532.
Zayyadi, M., Nusantara, T., & Lanya, H. (2022). The commognitive perspective of teaching skills of prospective mathematics teachers in microteaching subjects. Jurnal Elemen, 8(1), 43–54. https://doi.org/10.29408/jel.v8i1.4129
DOI: https://doi.org/10.35445/alishlah.v16i2.5048
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