Mathematical Justification Research in Mathematics Education Across Grades: A Systematic Literature Review
Abstract
Justification is a set of responses or responses that a person gives when asked to provide mathematical reasons for the results he makes. Justification can be used as a social process in which mathematical knowledge is explained, and systematically verified based on ideas, definitions, and properties that apply in mathematics such as representations used to display concepts. Research on justification in mathematics education has been carried out for a long time. This study aims to evaluate mathematics justification studies from articles published after 2016 and before April 2022 from ERIC and Google Scholar Databases. The key questions in this study are how these articles are distributed based on year publication, country, participant, mathematics subject, method, and how to support mathematical justification. This study used a Systematic Literature Review (SLR) by Preferred Reporting Items for Systematic Reviews and Meta-Analysis (PRISMA) guidelines including inclusion and exclusion criteria and then the data were extracted, resulting in 30 studies to be reviewed. The result shows that by year of publication the articles fluctuation distributed, based on country no data from Africa and Australia was found in the databases, the participant is mostly preservice mathematics teachers, whereas only one publication studied in high school students, geometry is the most mathematics subject used in research since every grade contain this material, the method is frequently given by qualitative research with various approach, how to supporting mathematical justification is also discussed.
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Amorim, M. É., Pietropaolo, R. C., & Powell, A. B. (2019). Knowledge for teaching justifications and Proofs or future Mathematics teachers. Acta Scientiae, 21(5), 81–101. https://doi.org/10.17648/acta.scientiae.5265
Ayala-Altamirano, C., & Molina, M. (2021). Fourth-Graders’ Justifications in Early Algebra Tasks Involving a Functional Relationship. In Educational Studies in Mathematics (Vol. 107, Issue 2, pp. 359–382). https://doi.org/10.1007/s10649-021-10036-1%0AFourth-graders’
Aziz, T. A. (2021). Eksplorasi Justifikasi dan Rasionalisasi Mahasiswa dalam Konsep Teori Graf. In Jurnal Pendidikan Matematika Raflesia (Vol. 06, Issue 02). https://ejournal.unib.ac.id/index.php/jpmr
Back, R.-J., Mannila, L., & Wallin, S. (2009). Student Justifications in High School Mathematics. Proceedings of CERME 6, 291–300.
Bieda, K. N., Conner, A., Kosko, K. W., & Staples, M. (2022). Conceptions and Consequences of Mathematical Argumentation, Justification, and Proof. In K. N. Bieda, A. Conner, K. W. Kosko, & M. Staples (Eds.), Proceedings of the 37th annual meeting of the PME-NA (Issue November). Springer International Publishing. https://doi.org/10.1007/978-3-030-80008-6
Boon Liang, C. (2016). Justification in Singapore Secondary Mathematics. www.worldscientific.com
Boon Liang, C., Pee Choon, T., & Von Bing, Y. (2019). Constructing An Exemplary Mathematical Justification Why Is It So Hard for Mathematics Teachers? http://www.nie.edu.sg
Bostic, J. D. (2016). Fostering Justification A Case Study of Preservice Teachers Proof-Related Tasks and Manipulative. Journal of Mathematics Education at Teachers College, 7(1).
Bozkurt, A. (2018). Examining the Accuracy and Justification of Geometric Constructions Made by Pre-Service Teachers with Dynamic Geometry Software and the Awareness They Gained throughout the Process. In International Journal of Research in Education and Science (Vol. 4, Issue 1, pp. 304–313). https://doi.org/10.21890/ijres.383197
Bozkurt, A., & Koc, Y. (2020). Effects of Different Learning Environments on Pre-Service Teachers’ Justification. In Malaysian Online Journal of Educational Sciences (Vol. 8, Issue 1, pp. 38–49). https://mojes.um.edu.my/index.php/MOJES/article/view/21605
CHUA, B. L. (2016). Examining Mathematics Teachers justification And Assessment Of Students justifications. Proceedings of the 40th Conference of the International.
Duffy, M., & Heinz, M. (2019). Developing critical thinking justification and generalisation skills in mathematics through Socratic questioning. Journal of Teacher Action Research, 5(3). https://bit.ly/56249715
Dündar, S., & Gündüz, N. (2017). Justification for the subject of congruence and similarity in the context of daily life and conceptual knowledge. Journal on Mathematics Education, 8(1), 35–54. https://doi.org/10.22342/jme.8.1.3256.35-54
Eko, Y. S., Prabawanto, S., Conference, A. J.-J. of P., & undefined 2018. (2018). The role of writing justification in mathematics concept: The case of trigonometry. Iopscience.Iop.Org. https://iopscience.iop.org/article/10.1088/1742-6596/1097/1/012146/meta
Hamidy, A. (2016). Kemampuan Justifikasi Matematis Siswa SMP Pada Materi Segitiga. Seminar Nasional Pendidikan Matematika Dengan Tema ”Pengembangan 4C’s Dalam Pembelajaran Matematika. https://www.researchgate.net/publication/306034063
Ingram, J., Andrews, N., & Pitt, A. (2019). When students offer explanations without the teacher explicitly asking them to. Educational Studies in Mathematics, 101(1), 51–66. https://doi.org/10.1007/s10649-018-9873-9
Lesseig, K. (2016). Conjecturing, generalizing and justifying: Building theory around teacher knowledge of proving. https://eric.ed.gov/?id=EJ1120084
Lithner, J. (2008). A research framework for creative and imitative reasoning. Educational Studies in Mathematics, 67(3), 255–276. https://doi.org/10.1007/s10649-007-9104-2
Lo, J.-J., Grant, T. J., & Flowers, J. (2008). Challenges in deepening prospective teachers’ understanding of multiplication through justification. Journal of Mathematics Teacher Education, 11(1), 5–22. https://doi.org/10.1007/s10857-007-9056-6
Makowski, M. B. (2020). The written and oral justifications of mathematical claims of middle school pre-service teachers. Research in Mathematics Education, 1–22. https://doi.org/10.1080/14794802.2020.1777190
Martin, T. E. (2019). Justification and Proof-Writing in Calculus I through Group Homework Assignments. PRIMUS, 29(1), 56–70. https://doi.org/10.1080/10511970.2018.1434845
Mata-Pereira, J., & da Ponte, J.-P. (2013). Enhancing Students’ Mathematical Reasoning in the Classroom: Teacher Actions Facilitating Generalization and Justification. In Educational Studies in Mathematics (Vol. 96, Issue 2, pp. 169–186). https://doi.org/10.1007/s10649-017-9773-4
Mata-Pereira, J., & Pedro da Ponte, J. (2017). Principles towards justification: A focus on teacher actions. https://hal.archives-ouvertes.fr/hal-01865657
O, J. R., Theodore Rupnow Craig J Cullen, D. J., Barrett Douglas H Clements Julie Sarama, J. E., & Van Dine, D. W. (2016). Developing an Understanding of Children’s Justifications for The Circle Area Formula. https://files.eric.ed.gov/fulltext/ED583700.pdf
Page, M. J., McKenzie, J. E., Bossuyt, P. M., Boutron, I., Hoffmann, T. C., Mulrow, C. D., Shamseer, L., Tetzlaff, J. M., Akl, E. A., Brennan, S. E., Chou, R., Glanville, J., Grimshaw, J. M., Hróbjartsson, A., Lalu, M. M., Li, T., Loder, E. W., Mayo-Wilson, E., McDonald, S., … Moher, D. (2021). The PRISMA 2020 statement: An updated guideline for reporting systematic reviews. In PLoS Medicine (Vol. 18, Issue 3). Public Library of Science. https://doi.org/10.1371/JOURNAL.PMED.1003583
Pamungkas, M. D., Juniati, D., & Masriyah, M. (2018). Mathematical Justification Ability: Studentsr Divergent and Convergent Process in Justifying Quadrilateral. Proceedings of the Mathematics, Informatics, Science, and Education International Conference (MISEIC 2018). https://doi.org/10.2991/miseic-18.2018.10
Perdanawati, S. G., Fuad, Y., & Rahaju, E. B. (2018). Justification Strategies of The 7 th Grade Students in Understanding Triangles’ Concepts. https://dx.doi.org/10.2991/miseic-18.2018.49
Prasad, P. V, & Barron, V. (2019). Exercising Mathematical Authority: Three Cases of Preservice Teachers’ Algebraic Justifications. In The Mathematics Educator (Vol. 28, Issue 2, pp. 3–32). https://openjournals.libs.uga.edu/tme/article/view/2050
Rott, B. (2021). Inductive and deductive justification of knowledge: epistemological beliefs and critical thinking at the beginning of studying mathematics. Educational Studies in Mathematics, 106(1), 117–132. https://doi.org/10.1007/s10649-020-10004-1
Simon, M. A., & Blume, G. W. (1996). Justification in the mathematics classroom: A study of prospective elementary teachers. The Journal of Mathematical Behavior, 15(1), 3–31. https://doi.org/10.1016/S0732-3123(96)90036-X
Staples, M. E., Bartlo, J., & Thanheiser, E. (2012). Justification as a teaching and learning practice: Its (potential) multifacted role in middle grades mathematics classrooms. The Journal of Mathematical Behavior, 31(4), 447–462. https://www.sciencedirect.com/science/article/pii/S0732312312000314
Weber, K., Lew, K., & Mejía-Ramos, J. P. (2020). Using Expectancy Value Theory to Account for Individuals’ Mathematical Justifications. Cognition and Instruction, 38(1), 27–56. https://doi.org/10.1080/07370008.2019.1636796
Yilmaz, Y., Ayvaz, Ü., Nazan, M., Durmuş, S., & Yaman, H. (2019). Mathematical Justification Studies in Mathematics Education: An Evaluation of Studies between 2007 and 2016. Malikussaleh Journal of Mathematics Learning (MJML), 2(2). https://doi.org/10.29103/mjml.v2i2.2129
DOI: https://doi.org/10.18326/hipotenusa.v4i2.7815
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