Mathematical Identity Formation: Lived Experiences of National Learning Camp Participants
Erwin Cabanlit | Myra Ambalong
Discipline: Education
Abstract:
The manuscript you uploaded examines the formation of mathematical identities among students participating in the National Learning Camp (NLC) at Hindang National High School in the Philippines. This study focuses on Grade 7 and Grade 8 students who experienced the transition back to face-to-face classes following the COVID-19 pandemic. The research investigates the factors that influence the development of students' mathematical identities, analyzing their perceptions, challenges, and experiences in a post-pandemic learning environment. It highlights how the NLC, aligned with DepEd’s learning recovery efforts, serves as a tool to close learning gaps and foster critical thinking, problem-solving, and collaboration in mathematics. Theoretical frameworks such as Social Identity Theory, Self-Determination Theory, and Communities of Practice are employed to explore how group dynamics, motivation, and social interactions contribute to identity formation. Through qualitative methods, the study offers insights into how educational interventions like the NLC shape students’ self-concepts, enhancing their engagement and performance in mathematics. The findings are intended to inform the development of school-based action plans and curricular strategies that support positive mathematical identity formation among learners.
References:
- Anderson, J. (2017). Mathematical identity formation: Understanding beliefs, attitudes, and self-concept in mathematics.
- Andersson, A. (2021). Identity construction as a socially constructed dynamic process. Educational Studies in Mathematics, 107(3), 261-277.
- After-School Alliance. (2021). Early engagement in STEM influences STEM career choices. Afterschool Research Brief, 5(1), 1-8.
- Attard, C. (2018). Engaging the disengaged. The importance of mathematics education for students' life opportunities. Educational Studies in Mathematics, 99(2), 123- 133.
- Bell, P. (2019). Advancing social network research in mathematics education. Journal for Research in Mathematics Education, 50(5), 543-556.
- Bhandari, A. (2023). Qualitative investigation in research: Methods and applications for in-depth insights.
- Boaler, J. (2020). Changing narratives, changing lives: Change as a social construct. Journal for Research in Mathematics Education, 51(6), 646-651.
- Bohrnstedt, G. W., Zhang, J., Park, B. J., Ikoma, S., Broer, M., & Ogut, B. (2021). Mathematics identity, self-efficacy, interest and their relationships to mathematics achievement: A longitudinal analysis. In R. Serpe, R. Stryker, & B. Powell (Eds.), Identity and Symbolic Interaction: Deepening Foundations; Building Bridges (pp. 169–210). Springer.
- Bohrnstedt, G. W. (2020)., Ingles, J. (2020)., Lesko & Corpus (2020) Mathematics identity measure without validity evidence. Measurement and Evaluation in Education, 30(4), 287-302.
- Bohrnstedt, G. W. (2021). Longitudinal study on mathematics identity and mathematics achievement in high school. Journal of Educational Research, 45(2), 211-228.
- Bostic, J. H.(2019a). Report on model development and testing: College students' mathematics identity.
- Branje, S. J. (2021). Do adolescents and young adults recognize that their lives are autobiographical? Developmental Psychology, 57(4), 594-608.
- Braun, V., & Clark, V. (2006). Using thematic analysis in psychology. Qualitative Research in Psychology, 3(2), 77-101.
- Brown, S. L. (2018). Why do so few students choose a science, technology, engineering, or mathematics major? Journal of Higher Education, 89(6), 825-853.
- Bucholtz, M., & Hall, K. (2020). Identity and interaction: A sociocultural linguistic approach. Discourse Studies, 22(1), 7-29.
- Bureau of Labor Statistics, U.S. Department of Labor, Occupational Outlook Handbook, Mathematicians and Statisticians, at https://www.bls.gov/ooh/math/mathematicians-and-statisticians.htm
- Creswell, J. W. (2018). Qualitative inquiry and research design: Choosing among five approaches. Sage Publications.
- Cribbs, J., Hazari, Z., Sadler, P. M., & Sonnert, G. (2018). Establishing an explanatory framework for mathematics identity. Child Development, 86(4), 1048–1062. https://doi.org/10.1111/cdev.12363
- Cribbs, J. D. (2018). Mathematics identity and its influence on STEM career choices. Journal of STEM Education, 7(3), 123-135.
- Cribbs, J. D. (2020). Mathematics identity and its relationship to career choices. Journal of Educational Psychology, 35(4), 567-582.
- Deci, E. L., & Ryan, R. M. (1985). Intrinsic motivation and self-determination in human behavior. Plenum.
- Denner, J. (2018). Early adolescents' sense of belonging in STEM learning environments. Journal of Research in Science Teaching, 55(3), 402-426.
- Department of Employment, Skills, Small and Family Business. Transparency Portal. https://www.transparency.gov.au/portfolio-entities-companies/employment-skills- small-and-family-business/department-of-employment-skills-small-and-family- business
- DepEd Order No. 8, s. 2015 on Policy Guidelines on Classroom Assessment for the K to 12 Basic Education Program.
- DepEd Order No. 13, s. 2018 on Implementing Guidelines on the Conduct of Remedial and Advancement Classes During Summer for the K to 12 Basic Education Program.
- Department of Education. (2023). Policy Guidelines on the Implementation of the National Learning Camp. DepEd Order No. 014, s. 2023. Republic of the Philippines.
- DepEd Order No. 19, s. 2018 on Implementation of the No Collection Policy in All Public Elementary and Secondary Schools.
- DepEd Order No. 25, s. 2022 on Amendment to DepEd Order No. 13, S. 2018, (Implementing Guidelines on the Conduct of Remedial and Advancement Classes During Summer for the K to 12 Basic Education Program).
- DepEd Order No. 29, s. 2022 on Adoption of the Basic Education Monitoring and Evaluation Framework.
- DepEd Order No. 31, s. 2022 on Child Rights Policy: Adopting the Rights-Based Education Framework in Philippine Basic Education.
- Eccles, J. S (2018). Sex differences in achievement: A test of alternate theories. Journal of Personality and Social Psychology, 46(1), 26-43. doi:10.1037/0022-3514.46.1.26
- Frenzel, A. C., Pekrun, R., & Hall, N. C. (2005). Emotional Intelligence in the Context of Learning and Achievement. In R. Schulze, & R. D. Roberts (Eds.), Emotional Intelligence: An International Handbook (pp. 233-253). Cambridge: Hogrefe & Huber Publishers.
- Friedel, J. M. (2021). Classroom goal structures and students' interest in middle school math: Exploring subject-specificity and teacher effects. Contemporary Educational Psychology, 67, 101951.
- Garg, R. (2017). Mathematical skills development in educational programs.
- Godwin, A., Potvin, G., Hazari, Z., & Lock, R. (2018). Identity, critical agency, and engineering: An affective model for predicting engineering as a career choice. Journal of Engineering Education, 105(2), 312–340. https://doi.org/10.1002/jee.20118
- Godwin, A. (2018). Influence of mathematics identity on STEM career decisions. Journal of STEM Research, 12(1), 47-60.
- Graven, M., & Heyd-Metzuyanim, E. (2019). The construction of a framework to understand identity in mathematics education. Educational Studies in Mathematics, 101(1), 33-47.
- Graven, M., & Heyd-Metzuyanim, E. (2019). Mathematics identity research: The state of the art and future directions. ZDM, 51(3), 361–377. https://doi.org/10.1007/s11858-019-01050-y
- Harter, N. (2021). The impact of mathematics identity on mathematics achievement. Journal of Mathematical Behavior, 63, 100844.
- Holland (2017) as cited by Savickas, M. L., & Savickas, S. (2021). Vocational Psychology, Overview☆. In A. Baxter & H.N. Switzky (Eds.), Encyclopedia of Infant and Early Childhood Development (pp. 460-470). Retrieved from https://doi.org/10.1016/B978-0-12-809324-5.05746-1.
- Holm, M. (2018). The relationships between emotions and mathematics performance in a large sample of Danish high school students. Frontiers in Psychology, 9, 87.
- Jolyon, S. (2023). Perception: Interpreting sensory information for understanding the world.
- Kaspersen, M. S., & Ytterhaug, I. (2020). Validity-supported mathematics identity measure. Assessment in Education: Principles, Policy & Practice, 27(3), 267-285.
- Kitchen, J. (2018). Preparing the next generation of STEM innovators: Investigating the impact of out-of-school time STEM programs. Educational Policy, 0895904818801754.
- Kong, J. (2019). The state of STEM out-of-school time: Three years of research documenting the impact of STEM out-of-school time.
- Langdon, D. (2020). STEM careers: Choices and chances. National Science Foundation (NSF).
- Larson, M. (2018). Reflecting on Catalyzing Change: Empowering the Math Education Community.
- Llantos, O. E. (PhD), Tibudan, R., & Omandam, M. J. (2015). Eskwela: Development team for educational software. Eskwela.app
- Lutovac, S., & Kaasila, R. (2019). Teacher identity research: A qualitative and quantitative approach. Educational Psychology Review, 26(3), 457-474.
- Madjar, N., & Chohat, R. (2019). Sources of self-efficacy in elementary and middle school students in math and English. The Journal of Experimental Education, 87(3), 311- 326.
- Maltese, A. V., & Tai, R. H. (2018). Eyeballs in the fridge: Sources of early interest in science. International Journal of Science Education, 40(11), 1200-1225.
- Map of the Research Environment https://www.google.com/maps/place/Hindang,+Iligan,+Lanao+del+Norte/@8.303 2266,124.3477249,14z
- Marsh, H. W. (2020). The big-fish-little-pond effect on STEM interest. American Educational Research Journal, 57(1), 45-82.
- McCombs, J. S. (2021). Making summer programs work: A guide to success. RAND Corporation.
- McIntyre, J. (2022). Integrating students' voices in the development of identity-affirming practices in mathematics.
- Meyers, A. F. (2018). Ready, set, STEM: Proximal factors that lead to 6th graders to show an interest in pursuing science, technology, engineering, and mathematics careers. Science Education, 102(4), 658-683.
- Midgley, C. (2018). Influence of teachers' self-efficacy on students' motivation. Educational Psychologist, 42(3), 241-249.
- Mohr-Schroeder, M. J. (2020). Informal learning environments and interest in STEM. Journal of Science Education and Technology, 29(5), 671-680.
- National Council of Teachers of Mathematics. (2018a). Catalyzing Change in Elementary School Mathematics: Initiating Critical Conversations.
- National Council of Teachers of Mathematics. (2018b). Catalyzing Change in Middle School Mathematics: Initiating Critical Conversations.
- National Council of Teachers of Mathematics. (2018c). Catalyzing Change in High School Mathematics: Initiating Critical Conversations.
- National Council of Teachers of Mathematics. (2020). New NCTM accreditation standards for preparing secondary mathematics teachers. Journal of Mathematics Teacher Education, 23(2), 111-125.
- National Research Council. (2021). Developing conceptual understandings in STEM.
- National Science Board. (2018). Shortage of STEM majors and projected growth in STEM occupations. Science and Engineering Indicators, 55(2).
- National Council of Teachers of Mathematics. (2018a). Catalyzing Change in High School Mathematics: Initiating Critical Conversations. Author.
- National Council of Teachers of Mathematics. (2018b). Catalyzing Change in Middle School Mathematics: Initiating Critical Conversations.
- National Council of Teachers of Mathematics. (2018c). Catalyzing Change in Elementary School Mathematics: Initiating Critical Conversations.
- O'Connell, A. A. (2021). Changes in STEM identity from preschool to kindergarten: A developmental approach to persistence in STEM. Journal of Research in Science Teaching, 58(8), 1139-1154.
- Pfeifer, J. H., & Berkman, E. (2018). The Development of Self and Identity in Adolescence: Neural Evidence and Implications for a Value-Based Choice Perspective on Motivated Behavior. Child Development Perspectives, 12(3). DOI: 10.1111/cdep.12279.
- PIACC Numeracy Expert Group. (2019). Numeracy skills and their importance in education.
- Popovic, Z., & Lederman, N. G. (2018). Alignment of science identity with informal and formal science experiences in a museum summer camp. Journal of Research in Science Teaching, 55(3), 352-383.
- Radovic, D. (2018). Identity in mathematics education: What is the essence of identity, and how is it constructed in the mathematics classroom? Educational Studies in Mathematics, 99(3), 251-257.
- Rončević Zubković, B. (2021). The role of teacher support in the change in interest in mathematics during transition from primary to secondary education. European Journal of Psychology of Education, 1-18.
- Salmela-Aro, K. (2021). The dark side of adolescents' identity: Disengagement from school.
- Savickas, M. L., & Savickas, S. (2021). Vocational Psychology, Overview☆. In A. Baxter & H.N. Switzky (Eds.), Encyclopedia of Infant and Early Childhood Development (pp. 460-470). Retrieved from https://doi.org/10.1016/B978-0-12-809324-5.05746- 1
- Sfard, A., & Prusak, A. (2021). Telling identities: In search of an analytic tool for investigating learning as a culturally shaped activity. Educational Studies in Mathematics, 107(3), 279-298.
- Silva, K., Shulman, E. P., Chein, J. M., & Steinberg, L. (2015). Peers Increase Late Adolescents' Exploratory Behavior and Sensitivity to Positive and Negative Feedback. Journal of Research on Adolescence, 26(4). DOI: 10.1111/jora.12219.
- Spelke, E. S. (2018). Sex Differences in Intrinsic Aptitude for Mathematics and Science? A Critical Review. American Psychologist, 60(9), 95-958. DOI: 10.1037/0003- 066X.60.9.950
- STEM Task Force Report. (2020). Building a STEM-literate society.
- Stoet, G., & Geary, D. (2018). The Gender-Equality Paradox in Science, Technology, Engineering, and Mathematics Education. Psychological Science, 29(2), 095679761774171. DOI: 10.1177/0956797617741719.
- Tajfel, H., & Turner, J. C. (1979). An integrative theory of intergroup conflict. In W. G. Austin & S. Worchel (Eds.), The social psychology of intergroup relations (pp. 33- 47).
- The Committee on STEM Education National Science and Technology Council. (2019). Growing need for STEM professionals. STEM Education Strategic Plan, 1-23.
- Turner, J. E., & Patrick, H. (2020). Antecedents of developmental patterns of physical activity during early adolescence. Journal of Youth and Adolescence, 49(3), 439- 453.
- UNESCO International Bureau of Education, & International Academy of Education. (2021). Effective pedagogy in mathematics (Document code: IBE/2009/ST/EP19) (31 p.). [Anthony, Glenda [2], Walshaw, Margaret [2]
- U.S. Bureau of Labor Statistics. (2018). Employment and wage changes in U.S. computer and electronic product manufacturing.
- Verhoeven, L. (2019). Schools' role in shaping students' identities. Journal of Educational Psychology, 34(5), 542-557.
- Wenger, E. (1998). Communities of practice: Learning, meaning, and identity. Cambridge University Press.
- Women in Aerospace Europe. (2024, January 19). STEM Education. WIA-Europe. https://www.wia-europe.org/2024/01/19/stem-education/
- Zubiri-Esnaola, H., Vidu, A., Rios, O., & Morlà Folch, T. (2020). Inclusivity, participation and collaboration: Learning in interactive groups. Educational Research, 62(2), 1-19. DOI: 10.1080/00131881.2020.1755605.