Enhancing Mathematical Critical Thinking and Problem-Solving Skills through Emergenetics® as a Grouping Mechanism
1 College of Graduate Studies and Teacher Education Research, Philippine Normal University, PHILIPPINES2 San Pedro College of Business Administration, PHILIPPINES3 San Pedro Relocation Center National High School, PHILIPPINES* Corresponding Author
Contemporary Mathematics and Science Education, 2(1), 2021, ep21002, https://doi.org/10.30935/conmaths/9289
OPEN ACCESS 1499 Views 3573 Downloads
Mathematical critical thinking and problem-solving skills are needed to be enhanced during a group activity through a new mechanism. This study aimed to enhance students’ mathematical critical thinking and problem-solving based on Emergenetics® as a grouping mechanism. This is a practical action research design wherein the researchers made profiling to identify the dominant thinking attributes of each student followed by the formation of the group. Then, a pre-test was used to assess the level of critical thinking and problem-solving skills of the students. After that, the formation of a group with a complete set of four thinking attributes. Moreover, four group learning tasks were given at regular intervals wherein the students must collaboratively find the solutions to the given Statistics and Probability problems by combining their thinking attributes. After three months, the post-test of validated test materials and interviews were administered. Based on the findings, the students enjoyed group activity because of the collaboration and a combination of abilities in doing the task. A significant increase exists from pre-test to post-test scores of the students. Through Emergenetics® as a grouping mechanism helps the students to combine their attributes and work collaboratively towards the accomplishment of the group task.
Insorio, A. O., & Librada, A. R. P. (2021). Enhancing Mathematical Critical Thinking and Problem-Solving Skills through Emergenetics® as a Grouping Mechanism. Contemporary Mathematics and Science Education, 2(1), ep21002. https://doi.org/10.30935/conmaths/9289
- Aizikovitsh, E., & Amit, M. (2010). Evaluating an infusion approach to the teaching of critical thinking skills through mathematics. Procedia-Social and Behavioral Sciences, 2(1), 3818-3822. https://doi.org/10.1016/j.sbspro.2010.03.596
- Bandura, A. (1977). Social learning theory. Englewood Cliffs. New Jersey: Prentice-Hall. Retrieved on 2 July 2020 from https://www.simplypsychology.org/bandura.html
- Bekele, R. (2006). Computer-assisted learner group formation based on personality traits. Doctoral dissertation, University of Hamburg. Retrieved on 8 June 2020 from https://www.researchgate.net/publication/36362425_Computer-Assisted_Learner_Group_Formation_Based_on_Personality_Traits
- Bellanca, J., Eds, R. B., Barell, J., Darling-Hammond, L., Dede, C., Dufour, R., … November, A. (2010). 21st Century Skills : Rethinking How Students Learn. Solution Tree Press Study Guide, (Study Guide), 1-27. Retrieved on 27 April 2020 from https://sites.google.com/a/pashir.site/leightonshaw/21st-century-skills-rethinking-how-students-learn-leading-edge-1935249908
- Browning, G. (2006). Emergenetics: Tap into the new science of success. New York: Harper-Collins Publisher. Retrieved on 28 April 2020 from https://www.goodreads.com/book/show/9945364-emergenetics-r
- Davies, W. M. (2009). Groupwork as a form of assessment: Common problems and recommended solutions. Higher Education, 58(4), 563-584. https://doi.org/10.1007/s10734-009-9216-y
- Dendane, A. (2009). Skills needed for mathematical problem-solving. 10th Annual Research Conference - UAE University. Retrieved on May 2, 2020 from https://www.analyzemath.com/math_problems/paper_1.html
- Doorman, M., Drijvers, P., Dekker, T., Van den Heuvel-Panhuizen, M., De Lange, J., & Wijers, M. (2007). Problem solving as a challenge for mathematics education in The Netherlands. ZDM Mathematics Education, 39(5-6), 405-418. https://doi.org/10.1007/s11858-007-0043-2
- Emergenetics International. (2019). The Emergenetics Advantage. Retrieved on 5 May 2020 from https://www.emergenetics.com/emergenetics-explained/the-emergenetics-advantage/
- Ennis, R. H. (1996). Critical thinking. Upper Saddle River, New Jersey: Prentice Hall, Inc.
- Facione, P. A. (2011). Critical thinking: What it is and Why it counts. Millbrae, CA: The California Academic Press. Retrieved on 20 March 2020 from https://www.student.uwa.edu.au/__data/assets/pdf_file/0003/1922502/Critical-Thinking-What-it-is-and-why-it-counts.pdf
- Fraenkel, J. R., & Wallen, N. E. (2010). How to design and evaluate research in education (7th ed.). New York: Mc Graw Hill.
- Gillies, R. M. (2000). The maintenance of cooperative and helping behaviors in cooperative groups. British Journal of Educational Psychology, 70(1), 97-111. https://doi.org/10.1348/000709900157994
- Glass, K. (2005). Curriculum design for writing instruction: Creating standards-based lesson plans and rubrics. USA: Corwin Press Inc.
- Glazer, E. (2001). Using internet primary sources to teach critical thinking skills in Mathematics. Westport, CT: Greenwood Publishing Group.
- Hanegem, J. V. (2017). Promoting students’ problem-solving skills in secondary mathematics education. Retrieved on 23 April 2020 on https://dspace.library.uu.nl/handle/1874/351472
- Harrison, D. A., & Klein, K. J. (2007). What’s the difference? Diversity constructs as separation, variety, or disparity in organizations. Academy of Management Review, 32(4), 1199-1228. https://doi.org/10.5465/AMR.2007.26586096
- Johnson, D. W., & Johnson, R. T. (2019). Cooperative Learning: The foundation for active learning. Active Learning - Beyond the Future. https://doi.org/10.5772/intechopen.81086
- Krulik, S., & Rudnick, J. A. (1995). The new sourcebook for teaching reasoning and problem bacon., solving in elementary school. Needham Heights: Allyn dan.
- LaPrairie, K. N. (2007). Using group dynamics and personality characteristics to form learning groups in high school multimedia courses. Dissertation Abstracts International Section A: Humanities and Social Sciences, 68(3-A), 968. Retrieved on 25 February 2020 from http://ovidsp.ovid.com/ovidweb.cgi?T=JS&PAGE=reference&D=psyc5&NEWS=N&AN=2007-99017-324
- Layne, C. M., & Hohenshil, T. H. (2005). High tech counseling: Revisited. Journal of Counseling & Development, 83, 222-226. https://doi.org/10.1002/j.1556-6678.2005.tb00599.x
- Lencioni, P. (2007). The five dysfunctions of a team: Team Assessment. San Francisco: Jossey-Bass.
- Lewis, A., & Smith, D. (1993). Defining higher-order thinking. Theory into Practice, 32(3), 131-137. https://doi.org/10.1080/00405849309543588
- Lykken, D. T. (1982). Presidential address, 1981. Research with twins: the concept of emergenesis. Psychophysiology, 19(4), 361-373. https://doi.org/10.1111/j.1469-8986.1982.tb02489.x
- Mitchell, R. E., J. (2016). A stakeholder approach to retention in higher education: Using Emergenetics in the classroom. Retrieved on 20 February 2020 from https://eric.ed.gov/?id=ED566817
- Murphy, P. K., Greene, J. A., Firetto, C. M., Li, M., Lobczowski, N. G., Duke, R. F., … Croninger, R. M. V. (2017). Exploring the influence of homogeneous versus heterogeneous grouping on students’ text-based discussions and comprehension. Contemporary Educational Psychology, 51, 336-355. https://doi.org/10.1016/j.cedpsych.2017.09.003
- New York State United Teachers. (2015). Critical thinking and problem-solving for the 21st-century learner. Educator’s Voice, 8, 117. Retrieved on 8 March 2020 from https://www.nysut.org/~/media/files/nysut/resources/2015/april/edvoiceviii_final.pdf?la=en
- Perkins, C., & Murphy. E., (2006). Identifying and measuring individual engagement in critical study, thinking in online discussions: An exploratory. Educational Technology & Society, 9(1), 298-307. https://www.learntechlib.org/p/75124/
- Rajendran, N. S. T. (2010). Teaching and acquiring higher-order thinking skills: Theory and Practice. Tanjong Malim, Perak: Penerbit Universiti Pendidikan Sultan Idris.
- Schmuck, R. A. & Schmuck, P. A. (2015). Group processes in the classroom. International Encyclopedia of the Social & Behavioral Sciences: Second Edition. https://doi.org/10.1016/B978-0-08-097086-8.92078-6
- Scriven, Michael & Paul, R. (1987). Critical thinking as defined by the National Council for Excellence in Critical Thinking. 8th Annual International Conference on Critical Thinking and Education Reform. Retrieved on 27 February 2020 from http://www.criticalthinking.org/pages/defining-critical-thinking/766
- Shaw, H. E., & Shaw, S. F. (2006). Critical ethical issues in on-line counseling: Assessing current Development, practices with an ethical intent checklist. Journal of Counseling & Supervision, 85, 41-53. https://doi.org/10.1002/j.1556-6678.2006.tb00378.x
- Sundquist, J. D. (2019). Multidisciplinary group composition in the STEAM classroom. In: Khine M., Areepattamannil S. (eds) STEAM Education. Springer, Cham. https://doi.org/10.1007/978-3-030-04003-1_9
- Torino, I. (2018). Emergenetics: Towards a mechanism to computational thinking in mathematics. Philippine Normal University-Manila.
- Tubbs, S. (2012). A system approach to small group interaction. New York: McGraw-Hill Companies, Inc.
- Vaccaro, N. & Lambie, G. W. (2007). Computer-based counselor-in-training supervision: Ethical Supervision, and practical implications for counselor educators and supervisors. Counselor Education & Supervision, 47, 46-57. https://doi.org/10.1002/j.1556-6978.2007.tb00037.x
- Van Knippenberg, D., & Schippers, M. C. (2007). Workgroup diversity. Annual Review of Psychology, 58(1), 515-541. https://doi.org/10.1146/annurev.psych.58.110405.085546
- Wichmann, A., Hecking, T., Elson, M., Christmann, N., Herrmann, T., & Hoppe, H. U. (2016). Group formation for small-group learning: Are heterogeneous groups more productive? Proceedings of the 12th International Symposium on Open Collaboration, OpenSym 2016, 1-4. https://doi.org/10.1145/2957792.2965662
- Yiping, L., Abrami, P. C., & D’Apollonia, S. (2001). Small group and individual learning with technology: A meta-analysis. Review of Educational Research, 71(3), 449-521. https://doi.org/10.3102/00346543071003449
- Zulueta, F. M. & Costales, Jr. N. E. B. (2003). Methods of research: Thesis writing and applied statistics. Navotas, Metro Manila, Philippines: Navotas Press.