### KEMAMPUAN KOMUNIKASI CALON GURU UNTUK MEMBANGUN KEMAMPUAN PENALARAN SISWA

#### Abstract

This study aims to describe the communication skills of prospective teachers in learning mathematics to build students' reasoning abilities. The research was carried out in class X SMAN 1 Lawang with 38 students and SMAN 1 Singosari with 40 students. The subjects of this research were KPL students from the Mathematics Education Study Program, State University of Malang, consisting of 2 students. Mathematics learning for prospective teachers is Graph material and Quadratic Functions. This research is a descriptive qualitative research. The instruments in this study were interviews, field notes, and video recordings. The results of this study are that prospective teachers are able to communicate theorems and procedures well, according to the concept map material on Graphs and Quadratic Functions. Functions can be demonstrated through writing and geometric shapes by using mathematical interpretations from real life, performing calculations and predictions, explaining reasons why an answer can be accepted as a truth, finding an answer so as to be able to reveal connections and provide insight into the underlying mathematical structure. The exposition activities of prospective teachers through generalization activities of proof - proving the problems given help students get a truth, so that in this case the prospective teachers have succeeded in building students' reasoning. Errors that occur from a small number of students when making conclusions are expected to be minimized through a deeper study of mathematical communication to build student reasoning.

Keywords: *Teacher candidates, Mathematical Communication, Student Reasoning*

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Amador, J. M. (2017). Preservice teachersâ€™ video simulations and subsequent noticing: a practice-based method to prepare mathematics teachers. Research In Mathematics Education, 2017.

Ball, D.L., dan McDiarmid, G.W. (1989). The Subject Matter Preparation of Yeachers. Issue Paper 89-4. The National Center for Research on Teacher Education.

Bartell, T.G., et al. (2013). Prospective teacher learning: recognizing evidence of conceptual understanding. J Math Teacher Educ (2013), 16:57â€“79 DOI 10.1007/s10857-012-9205-4.

Berg, D. H., & McDonald, P. A. (2018). Differences in mathematical reasoning between typically achieving and gifted children. Journal of Cognitive Psychology, 30(3), 281â€“291. doi:10.1080/20445911.2018.1457034.

Cai, J., et.al. (1996). Assessing Studentsâ€™ Mathematical Communication. School Science and Mathematics, 96(5), 238â€“246. doi:10.1111/j.1949- 8594.1996.tb10235.x.

Cai, J., et.al. (1996). A Cognitive Analysis of QUASAR's Mathematics Performance Assessment Tasks and Their Sensitivity to Measuring Changes in Middle School Students' Thinking and Reasoning. Research in Middle Level Education Quarterly, 19:3, 63-94.

Canrinus, E.T., Helmsâ€Lorenz, M., Beijaard, D., Buitink, J., & Hofman, A. (2011). Profiling teachersâ€™ sense of professional identity. Educational Studies. Vol. 37, No. 5, December 2011, 593â€“608.

Cooney, T.J, and Hirsch, C.R. (1990). Teaching and Learning Mathematics in the 1990. 1990 Yearbook. National Council of Teachers of Mathematics.

Ediger, M. and Rao, D.B. (2011). Teaching Mathematics Successfully. Discovery Publishing House. New Delhi.

Griffith, R., Groulx, J,. Profile for Teacher Decision Making: A Closer Look at Beliefs and Practice. Journal of Research in Education. Volume 24, Number 2. Fall and Winter 2014.

Hwang, J., Runnalls, C., Bhansali, S., Navaandamba, K., & Choi, K. M. (2017). â€œCan I do well in mathematics reasoning?â€ Comparing US and Finnish studentsâ€™ attitude and reasoning via TIMSS 2011. Educational Research and Evaluation, 23(7-8), 328â€“348. doi:10.1080/13803611.2018.1500293.

J. K., Ngâ€™eno, dan M. C., Chesimet. Differences in Mathematics Teachersâ€™ Perceived Preparedness to Demonstrate Competence in Secondary School Mathematics Content by Teacher Characteristics. Journal of Education and Practice. Vol.7, No.18, 2016.

Kementerian Pendidikan dan Kebudayaan. (2017). Buku Matematika Kelas X. Indonesia.

Kementerian Pendidikan dan Kebudayaan Republik Indonesia. (2018). Buku Guru Matematika Kelas IX SMP/MTS.

Kline, S.L. dan Ishii, D. K. (2008). Procedural Explanations in Mathematics Writing : A Framework for Understanding College Studentsâ€™ Effective Communication Practices. Written Communication. Volume 25 Number 4. October 2008 441-461.

Kramarski, B., and Mevarech, Z.R. (2003). Enhancing Mathematical Reasoning in The Classroom : The Effects of Cooperative Learning and Metacognitive Training. American Educational Research Journal. Vol. 40. No.1. (Spring 2003). Pp. 281 â€“ 310.

Miles, M.B, Huberman, A.M. and Saldana, J. (2014). Qualitative Data Analysis A Methods Source Book. Edition 3. SAGE publications Inc. London.

NCTM. (1999). Classroom Assessment For School Mathematics. K â€“ 12 Series. Mathematics Assessment, A Practical Handbook For Grades 9 â€“ 12. USA.

NCTM. (2000). Principles Standards and for School Mathematics. The National Council of Teachers of Mathematics, Inc. 1906 Association Drive, Reston, VA 20191-9988. www.nctm.org.

NCTM. (2003). NCATE/NCTM Program Standards (2003) Programs for Initial Preparation of Mathematics Teachers. Tersedia : http://www.nctm.org/

Norqvist, M. (2017). The effect of explanations on mathematical reasoning tasks. International Journal of Mathematical Education in Science and Technology, 49(1), 15â€“30. doi:10.1080/0020739x.2017.1340679.

Oâ€™Daffer, P, et.al. (2008). Mathematics For Elementary School Teachers Fourth Edition. Pearson. Addison Wesley. Boston. ISBN-13 978-0-321-44804-0, ISBN-10 0-321-44804-9.

Olteanu, L. (2015). Construction of tasks in order to develop and promote classroom communication in mathematics. International Journal of Mathematical Education in Science and Technology, 2015. Vol. 46, No. 2, 250â€“263.

Pourdavood, Roland G. & Wachira, P. (2015). Importance of Mathematical Communication and Discourse in Secondary Classrooms. Global Journals Inc. (USA). Type : Double Blind Peer Reviewed International Research Journal. Volume 15 Issue 10 Version 1.0 Year 2015.

Salhi, SaÃ¯d. (2017). Heuristic Search, The Emerging Science of Problem Solving.

Palgrave Macmillan. Springer International Publishing. Switzerland.

Sidenvall, J., dkk (2014). Studentsâ€™ reasoning in mathematics textbook task-solving. International Journal of Mathematical Education in Science and Technology, 46(4), 533â€“552. doi:10.1080/0020739x.2014.992986.

Sowder, J. and Schappelle, B. (2002). Lessons learned from research. National Council Of Teachers Of Mathematics.

Spitzer, S. M., et al (2011). Developing prospective elementary teachersâ€™ abilities to identify evidence of student mathematical achievement. J Math Teacher Educ (2011) 14:67â€“87, DOI 10.1007/s10857-010-9141-0.

Sriraman, B. and Lee, K.H. (2011), The Elements of Creativity and Giftedness in Mathematics. 193â€“215. 2011. Sense Publishers.

Stenmark, J.K. (2002). Mathematics Assessment : Myths, Models, Good Questions, and Practical Suggestions. National Council Of Teachers Of Mathematics.

SÃ¼r, BÃ¼ÅŸra. & Delice, Ali. (2016). The examination of teacher student communication process in the classroom: mathematical communication process model. SHS Web of Conferences 26, 01059 (2016). DOI: 10.1051/shsconf/20162601059. E RPA2015.

DOI: https://doi.org/10.37058/jp3m.v9i1.7068

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