Sri Adi Widodo (1*)
Turmudi Turmudi (2)
Jarnawi Afgani Dahlan (3)
Somchai Watcharapunyawong (4)
Hasti Robiasih (5)
Mustadin Mustadin (6)

(1) Universitas Sarjanawiyata Tamansiswa Yogyakarta, Indonesia
(2) Universitas Pendidikan Indonesia, Indonesia
(3) Universitas Pendidikan Indonesia, Indonesia
(4) Thepsatri Rajabhat University, Lopburi, Thailand
(5) Universitas Sarjanawiyata Tamansiswa Yogyakarta, Indonesia
(6) Universitas Islam Negeri Sunan Kalijaga, Indonesia
(*) Corresponding Author


Mathematics class can cause many problems if students do not organize diversity and habits correctly. Using a sociograph to form a mathematics study group is one way to organize assortment in the mathematics class. Sociograph is a friendship pathway that appears in a math class. In this sense, this study aims to determine the impact of forming study groups based on friendship in a mathematics class on problem-solving abilities. A quasi-experimental research design with 30 students was used. A friendship questionnaire and a problem-solving test were used as instruments. In addition, an independent t-test was used to analyze the data. The study results indicate that study groups formed through friendship pathways (sociograph) have a more significant effect than those formed through other means. As a result, the formation of heterogeneous groups based on friendship can be used as an alternative to the formation of study groups.


Friendship; Group Learning; Mathematics Class; Sociograph

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Al-Fayoumi, M., Banerjee, S., & Mahanti, P. (2009). Analysis of social network using clever ant colony metaphor. World Academy of Science, Engineering and Technology, 41, 970-974.

Amineh, R. J., & Asl, H. D. (2015). Review of constructivism and social constructivism. Journal of Social Sciences, Literature and Languages, 1(1), 9-16.

Argyle, M. (2017). Social interaction. Routledge.

Asch, A. (2005). Critical Race Theory, Feminism, and Disability: Reflections on Social Justice and Personal Identity. In E. F. Emens (Ed.), Disability and Equality Law (pp. 34). Routledge.

Bambaeeroo, F., & Shokrpour, N. (2017). The impact of the teachers’ non-verbal communication on success in teaching. Journal of advances in medical education & professionalism, 5(2), 51-59.

Barkley, C. K. A. (2012). School leader use of social media for professional discourse. Virginia Commonwealth University.

Biesta, G. (2015). What is education for? On good education, teacher judgement, and educational professionalism. European Journal of education, 50(1), 75-87.

Bonotto, C. (2010). Realistic Mathematical Modeling and Problem Posing. In R. Lesh, P. L. Galbraith, C. R. Haines, & A. Hurford (Eds.), Modeling Students' Mathematical Modeling Competencies: ICTMA 13 (pp. 399-408). Springer US.

Bonotto, C. (2011). Engaging students in mathematical modelling and problem posing activities. Journal of Mathematical Modelling and Application, 1(3), 18-32.

Bonotto, C. (2013). Artifacts as sources for problem-posing activities. Educational Studies in Mathematics, 83(1), 37-55.

Bozkurt, G. (2017). Social constructivism: does it succeed in reconciling individual cognition with social teaching and learning practices in mathematics? Journal of Education and Practice, 8(3), 210-218.

Bujak, K. R., Radu, I., Catrambone, R., MacIntyre, B., Zheng, R., & Golubski, G. (2013). A psychological perspective on augmented reality in the mathematics classroom. Computers & Education, 68, 536-544.

Cacioppo, J. T., & Cacioppo, S. (2014). Social relationships and health: The toxic effects of perceived social isolation. Social and Personality Psychology Compass, 8(2), 58-72.

Campbell, W. M., Dagli, C. K., & Weinstein, C. J. (2013). Social network analysis with content and graphs. Lincoln Laboratory Journal, 20(1), 61-81.

Capar, G., & Tarim, K. (2015). Efficacy of the cooperative learning method on mathematics achievement and attitude: A meta-analysis research. Educational Sciences: Theory and Practice, 15(2), 553-559.

Chan, L. L., & Idris, N. (2017). Cooperative Learning in Mathematics Education. International Journal of Academic Research in Business and Social Sciences, 7(3), 539-553.

Cheema, J. R., & Kitsantas, A. (2014). Influences of disciplinary classroom climate on high school student self-efficacy and mathematics achievement: A look at gender and racial–ethnic differences. International Journal of Science and Mathematics Education, 12(5), 1261-1279.

Cobb, P., Yackel, E., & Wood, T. (1989). Young children’s emotional acts while engaged in mathematical problem solving. In D. B. McLeod & V. M. Adams (Eds.), Affect and mathematical problem solving: A new perspective (pp. 117-148). Springer New York.

Corbisiero, F. (2022). How to study online networking: The role of social network analysis. In G. Punziano & A. Delli Paoli (Eds.), Handbook of Research on Advanced Research Methodologies for a Digital Society (pp. 360-374). IGI Global.

Cowie, H., Smith, P., Boulton, M., & Laver, R. (1994). Cooperation in the Multi-Ethnic Classroom. Routledge.

Cullen-Lester, K. L., & Yammarino, F. J. (2016). Collective and network approaches to leadership: Special issue introduction. The Leadership Quarterly, 27(2), 173-180.

De Jaegher, H., Di Paolo, E., & Gallagher, S. (2010). Can social interaction constitute social cognition? Trends in Cognitive Sciences, 14(10), 441-447.

Endres, S., & Weibler, J. (2017). Towards a three-component model of relational social constructionist leadership: A systematic review and critical interpretive synthesis. International Journal of Management Reviews, 19(2), 214-236.

Entwistle, N., & Ramsden, P. (2015). Understanding student learning. Routledge.

Esmonde, I., Blair, K. P., Goldman, S., Martin, L., Jimenez, O., & Pea, R. (2013). Math I Am: What we learn from stories that people tell about math in their lives. In B. Bevan, P. Bell, R. Stevens, & A. Razfar (Eds.), LOST Opportunities: Learning in Out-of-School Time (pp. 7-27). Springer Netherlands.

Esmonde, I., & Langer-Osuna, J. M. (2013). Power in numbers: Student participation in mathematical discussions in heterogeneous spaces. Journal for Research in Mathematics Education JRME, 44(1), 288-315.

Esteban-Guitart, M., & Moll, L. C. (2014). Funds of identity: A new concept based on the funds of knowledge approach. Culture & Psychology, 20(1), 31-48.

Etikan, I., Musa, S. A., & Alkassim, R. S. (2016). Comparison of convenience sampling and purposive sampling. American journal of theoretical and applied statistics, 5(1), 1-4.

Fejes, A., & Köpsén, S. (2014). Vocational teachers’ identity formation through boundary crossing. Journal of Education and Work, 27(3), 265-283.

Fields, D., & Enyedy, N. (2013). Picking up the mantle of “Expert”: Assigned roles, assertion of identity, and peer recognition within a programming class. Mind, Culture, and Activity, 20(2), 113-131.

Freeman, L. (2004). The development of social network analysis: A study in the sociology of science. Empirical Press.

Galbin, A. (2014). An introduction to social constructionism. Social research reports, 6(26), 82-92.

Ganellen, R. J. (2007). Assessing normal and abnormal personality functioning: Strengths and weaknesses of self-report, observer, and performance-based methods. Journal of Personality Assessment, 89(1), 30-40.

Glass, C. R., Kociolek, E., Wongtrirat, R., Lynch, R. J., & Cong, S. (2015). Uneven experiences: The impact of student-faculty interactions on international students' sense of belonging. Journal of International Students, 5(4), 353-367.

Hattie, J. (2015). The applicability of visible learning to higher education. Scholarship of teaching and learning in psychology, 1(1), 79.

Haylock, D., & Manning, R. (2018). Mathematics explained for primary teachers. SAGE Publications Ltd.

Islamov, A. E., Rassolov, I. M., Petunova, S. A., Albov, A. P., Zaikina, I. V., & Shulga, T. I. (2016). Students’ tolerant behavior formation mechanisms. International Electronic Journal of Mathematics Education, 12(1), 43-50.

Ji, H., Park, K., Jo, J., & Lim, H. (2016). Mining students activities from a computer supported collaborative learning system based on peer to peer network. Peer-to-Peer Networking and Applications, 9(3), 465-476.

Kauffman, H. (2015). A review of predictive factors of student success in and satisfaction with online learning. Research in Learning Technology, 23.

Kereluik, K., Mishra, P., Fahnoe, C., & Terry, L. (2013). What knowledge is of most worth. Journal of Digital Learning in Teacher Education, 29(4), 127-140.

Killpack, T. L., & Melón, L. C. (2016). Toward inclusive STEM classrooms: What personal role do faculty play? CBE—Life Sciences Education, 15(3), es3.

Kosinski, M., Bachrach, Y., Kohli, P., Stillwell, D., & Graepel, T. (2014). Manifestations of user personality in website choice and behaviour on online social networks. Machine Learning, 95(3), 357-380.

Kövecses-Gősi, V. (2018). Cooperative learning in VR environment. Acta Polytechnica Hungarica, 15(3), 205-224.

Lewis, S. C., Holton, A. E., & Coddington, M. (2014). Reciprocal journalism. Journalism Practice, 8(2), 229-241.

Liberatore, A., Bowkett, E., MacLeod, C. J., Spurr, E., & Longnecker, N. (2018). Social media as a platform for a citizen science community of practice. Citizen Science: Theory and Practice, 3(1), 3.

Lopez, L. M., & Allal, L. (2007). Sociomathematical norms and the regulation of problem solving in classroom microcultures. International Journal of Educational Research, 46(5), 252-265.

Mueller, M., Yankelewitz, D., & Maher, C. (2014). Teachers promoting student mathematical reasoning. Investigations in Mathematics Learning, 7(2), 1-20.

Nenotaek, B., Sujadi, I., & Subanti, S. (2019). The difficulties in implementing scientific approach for mathematics learning. International Journal of Educational Research Review, 4(4), 624-636.

Orne, M. T. (2006). On the social psychology of the psychological experiment: With particular reference to demand characteristics and their implications. In N. K. Denzin (Ed.), Sociological Methods (pp. 21). Routledge.

Partanen, A.-M., & Kaasila, R. (2015). Sociomathematical norms negotiated in the discussions of two small groups investigating calculus. International Journal of Science and Mathematics Education, 13(4), 927-946.

Pekrun, R. (2014). Emotions and learning. UNESCO International Bureau of Education.

Rasmitadila, R., Aliyyah, R. R., Rachmadtullah, R., Samsudin, A., Syaodih, E., Nurtanto, M., & Tambunan, A. R. S. (2020). The perceptions of primary school teachers of online learning during the COVID-19 pandemic period. Journal of Ethnic and Cultural Studies, 7(2), 90-109.

Ratts, M. J., Singh, A. A., Nassar-McMillan, S., Butler, S. K., & McCullough, J. R. (2016). Multicultural and social justice counseling competencies: Guidelines for the counseling profession. Journal of Multicultural Counseling and Development, 44(1), 28-48.

Roeser, R. W., Schonert-Reichl, K. A., Jha, A., Cullen, M., Wallace, L., Wilensky, R., Oberle, E., Thomson, K., Taylor, C., & Harrison, J. (2013). Mindfulness training and reductions in teacher stress and burnout: Results from two randomized, waitlist-control field trials. Journal of Educational Psychology, 105(3), 787-804.

Russell, T., & Martin, A. K. (2014). Learning to teach science. In S. K. A. Norman G. Lederman (Ed.), Handbook of Research on Science Education, Volume II (1st Edition ed., pp. 18). Routledge.

Saqr, M., Fors, U., & Tedre, M. (2018). How the study of online collaborative learning can guide teachers and predict students’ performance in a medical course. BMC Medical Education, 18(1), 24.

Serrat, O. (2017). Social network analysis. In O. Serrat (Ed.), Knowledge solutions: Tools, methods, and approaches to drive organizational performance (pp. 39-43). Springer Singapore.

Slavin, R. E. (1988). Cooperative learning and student achievement. In R. E. Slavin (Ed.), School and classroom organization (pp. 28). Routledge.

Sprecher, S., Treger, S., Wondra, J. D., Hilaire, N., & Wallpe, K. (2013). Taking turns: Reciprocal self-disclosure promotes liking in initial interactions. Journal of Experimental Social Psychology, 49(5), 860-866.

Stigmar, M. (2016). Peer-to-peer teaching in higher education: A critical literature review. Mentoring & Tutoring: Partnership in Learning, 24(2), 124-136.

Taherdoost, H. (2016). Validity and reliability of the research instrument; how to test the validation of a questionnaire/survey in a research. International Journal of Academic Research in Management (IJARM), 5(3), 28-36.

Tseng, F.-C., & Kuo, F.-Y. (2014). A study of social participation and knowledge sharing in the teachers' online professional community of practice. Computers & Education, 72, 37-47.

Van Ryzin, M. J., Roseth, C. J., & Biglan, A. (2020). Mediators of effects of cooperative learning on prosocial behavior in middle school. International Journal of Applied Positive Psychology, 5(1), 37-52.

Wang, A. I., & Tahir, R. (2020). The effect of using Kahoot! for learning – A literature review. Computers & Education, 149, 103818.

Widodo, S. A. (2017). Development of teaching materials algebraic equation to improve problem solving. Infinity Journal, 6(1), 59.

Widodo, S. A., Dahlan, J. A., Harini, E., & Sulistyowati, F. (2020). Confirmatory factor analysis sosiomathematics norm among junior high school student. International Journal of Evaluation and Research in Education, 9(2), 448-455.

Widodo, S. A., & Purnami, A. S. (2018). Mengembangkan norma sosiomatematik dengan team accelerated instruction [Developing sociomathematics norms with team-accelerated instruction]. Numerical: Jurnal Matematika dan Pendidikan Matematika, 2(1), 13-20.

Widodo, S. A., Purnami, A. S., & Prahmana, R. C. I. (2017). Team accelerated instruction, initials and problem-solves ability in junior high school. International Journal on Emerging Mathematics Education, 1(2), 193-204.

Widodo, S. A., Turmudi, T., & Dahlan, J. A. (2019). Can sociomathematical norms be developed With learning media? Journal of Physics: Conference Series, 1315(1), 012005.

Widodo, S. A., Turmudi, T., & Dahlan, J. A. (2019). An error students in mathematical problems solves based on cognitive development. International Journal of Scientific & Technology Research, 8(07), 433-439.

Yackel, E., & Cobb, P. (1996). Sociomathematical norms, argumentation, and autonomy in mathematics. Journal for Research in Mathematics Education, 27(4), 458-477.

Yackel, E., Cobb, P., & Wood, T. (1991). Small-group interactions as a source of learning opportunities in second-grade mathematics. Journal for Research in Mathematics Education, 22(5), 390-408.

Yackel, E., & Rasmussen, C. (2002). Beliefs and norms in the mathematics classroom. In G. C. Leder, E. Pehkonen, & G. Törner (Eds.), Beliefs: A hidden variable in mathematics education? (pp. 313-330). Springer Netherlands.

Zakaria, E., Solfitri, T., Daud, Y., & Abidin, Z. Z. (2013). Effect of cooperative learning on secondary school students’ mathematics achievement. Creative Education, 4(2), 98-100.


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