From Mathematical Micro- to Macro-identities: How Mathematical Authority Emerged from Moment-to-moment Positioning
DOI:
https://doi.org/10.46328/ijemst.5339Keywords:
Mathematical ideas, Positioning, Mathematical micro-identity, Elementary mathematicsAbstract
This paper aims to better understand how students’ moment-to-moment micro-identities thicken into macro-identities, focusing specifically on one student, Tia, as a mathematical authority. Our analysis involved identifying the ideas that students proposed, how they were responded to, and the mathematical micro-identities (Wood, 2013) at play during these interactions. Findings (1) reveal the relationship between how this teacher-researcher and her students proposed and responded to ideas and how they were positioned into mathematical micro-identities; (2) confirm Wood’s (2013) findings regarding the nature of positioning into micro-identities; and (3) build on Wood’s framework to describe how micro-identities can be nuanced, or specialized. Our findings help explain how moment-to-moment positioning contributes to the development of one student’s macro-identity as a mathematical authority.
References
Anderson, R. K., Boaler, J., & Dieckmann, J. A. (2018). Achieving elusive teacher change through challenging myths about learning: A blended approach. Education Sciences, 8(3), 98.
Ball, D. (2018, April 15). Just dreams and imperatives: The power of teaching in the struggle for public education. AERA Presidential Talk [Video]. https://www.youtube.com/watch?v=JGzQ7O_SIYY&t=3212s
Black, L., Williams, J., Hernandez-Martinez, P., Davis, P., Pampaka, M., & Wake, G. (2010). Developing a ‘leading identity’: The relationship between students’ mathematical identities and their career and higher education aspirations. Educational Studies in Mathematics, 73(1), 55-72.
Blanton, M., Stephens, A., Knuth, E., Gardiner, A. M., Isler, I., & Kim, J. S. (2015). The development of children's algebraic thinking: The impact of a comprehensive early algebra intervention in third grade. Journal for Research in Mathematics Education, 46(1), 39-87.
Boaler, J. (2013). Ability and mathematics: The mindset revolution that is reshaping education. Forum, 55(1), 143-152.
Boaler, J., & Greeno, J. G. (2000). Identity, agency, and knowing in mathematics worlds. In J. Boaler (Ed.), Multiple perspectives on mathematics teaching and learning (1st ed., pp. 171– 200). Ablex
Boaler, J., Dieckmann, J. A., Pérez-Núñez, G., Sun, K. L., & Williams, C. (2018). Changing students minds and achievement in mathematics: The impact of a free online student course. Frontiers in Education, 3(26).
Brizuela, B. M., Blanton, M., Sawrey, K., Newman-Owens, A., & Gardiner, A. M. (2015). Children’s use of variables and variable notation to represent their algebraic ideas. Mathematical Thinking and Learning, 17, 1-30.
Brizuela, B., Strachota, S., Raymond, S., Savid, S., & Blanton, M. (2023). “Tia was the right one:” Mathematical authority and trust among first graders. Mathematical Thinking and Learning. DOI: 10.1080/10986065.2023.2215408
Carpenter, T. P., Franke, M. L., & Levi, L. (2003). Thinking mathematically: Integrating arithmetic and algebra in elementary school. Heinemann.
Cobb, P., Confrey, J., diSessa, A., Lehrer, R., & Schauble, L. (2003). Design experiments in educational research. Educational Researcher, 32(1), 9-13.
Cribbs, J., Huang, X., & Piatek‐Jimenez, K. (2021). Relations of mathematics mindset, mathematics anxiety, mathematics identity, and mathematics self‐efficacy to STEM career choice: A structural equation modeling approach. School Science and Mathematics, 121(5), 275–287. https://doi.org/10.1111/ssm.12470
Engle, R. A., & Conant, F. C. (2002). Guiding principles for fostering productive disciplinary engagement: Explaining an emergent argument in a community of learners classroom. Cognition and Instruction, 20, 399–483.
Engle, R. A., Langer-Osuna, J. M., & McKinney de Royston, M. (2014). Toward a model of influence in persuasive discussions: Negotiating quality, authority, privilege, and access within a student-led argument. Journal of the Learning Sciences, 23(2), 245–268.
Esmonde, I., & Langer-Osuna, J. M. (2013). Power in numbers: Student participation in mathematical discussions in heterogeneous spaces. Journal for Research in Mathematics Education, 44(1), 288–315. https://doi.org/10.5951/jresematheduc.44.1.0288
Froschl, M., & Sprung, B. (2016). Organization spotlight: Furthering girls’ math identity: The key to girls’ math success. Childhood Education, 92(4), 320–23, https://doi.org/10.1080/00094056.2016.1208013.
Fujii, T., & Stephens, M. (2008). Using number sentences to introduce the idea of variable. In C. E. Greenes & R. Rubenstein (Eds.), Algebra and Algebraic Thinking in School Mathematics: Seventieth Yearbook (pp. 127-140). Reston, VA: National Council of Teachers of Mathematics.
Holland D., Lachicotte W. Jr., Skinner D., & Cain C. (2001). Identity and agency in cultural worlds. Harvard University Press
Langer-Osuna, J. M. (2018). Exploring the central role of student authority relations in collaborative mathematics. ZDM: The International Journal on Mathematics Education, 50(6), 1077-1087. https://doi.org/10.1007/s11858-018-0965-x
Langer-Osuna, J. M., & Esmonde, I. (2017). Identity in research on mathematics education. In J. Cai (Ed.,) Compendium for research in mathematics education (pp. 637–648). National Council of Teachers of Mathematics.
McCarthey, S. J., & Moje, E. B. (2002). Identity matters. Reading Research Quarterly, 37(2), 228–238. https://doi.org/10.1598/RRQ.37.2.6
Philip, T. M., & Gupta, A. (2020). Emerging perspectives on the co-construction of power and learning in the learning sciences, mathematics education, and science education. Review of Research in Education, 44(1), 195-217.
Syed, M. & Nelson, S. C. (2015). Guidelines for establishing reliability when coding narrative data. Emerging Adulthood, 3(6), 375-387.
van Langenhove, L., & Harré, R. (1999). Introducing positioning theory. In R. Harré & L. van Langenhove (Eds.), Positioning Theory (1st ed., pp. 14–31). Wiley-Blackwell.
Wood, M. B. (2013). Mathematical micro-identities: Moment-to-moment positioning and learning in a fourth-grade classroom. Journal for Research in Mathematics Education, 44(5), 775–808. https://doi.org/10.5951/jresematheduc.44.5.0775
Yackel, E., & Cobb, P. (1996). Sociomathematical norms, argumentation, and autonomy in mathematics. Journal for Research in Mathematics Education, 27(4), 458–477.
Yamakawa, Y., Forman, E., & Ansell, E. (2009). The role of positioning in constructing an identity in a 3rd grade mathematics classroom. In K. Kumpulainen, C. E. Hmelo-Silver, & M. César (Eds.), Investigating classroom interaction: Methodologies in action (1st. ed., pp. 179–202). Sense.
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