DOI QR코드

DOI QR Code

Using transformative technology to teach central tendency and promote equity

  • S. Asli Ozgun-Koca (College of Education, Wayne State University) ;
  • Jennifer Lewis (College of Education, Wayne State University) ;
  • Christopher Nazelli (Mathematics, Wayne State University) ;
  • Lenuel Hernandez (Academic Success Center, Wayne State University)
  • Received : 2024.03.12
  • Accepted : 2024.08.19
  • Published : 2024.09.30

Abstract

This article explores how the use of technology along with carefully designed tasks can advance equity in the teaching of mathematics. Focusing on one of the dimensions of the EQTTech lesson analysis tool, this study examines how the use of technology can support the development of authority, identity, and agency in minoritized high school youth. A lesson on central tendency was designed and enacted in two 9th grade classrooms using GeoGebra and Padlet technologies. Student work and video recordings of the lesson were analyzed for student expressions of authority, identity and agency. These key constructs were intertwined in practice, and appear to be supported by the pairing of carefully selected tasks with technology chosen for its potential to advance equity.

Keywords

References

  1. Aguirre, J., Mayfield-Ingram, K., & Martin, D. B. (2013). The impact of identity in K-8 mathematics learning and teaching: Rethinking equity-based practices. National Council of Teachers of Mathematics.
  2. Association of Mathematics Teacher Educators. (2017). Standards for preparing teachers of mathematics. Available online at ame.net/standards.
  3. Association of Mathematics Teacher Educators. (2023). Position of the Association of Mathematics Teacher Educators on technology. https://amte.net/sites/amte.net/files/AMTETechnologyStatementOct202022_0.pdf
  4. Ball, D. L., Ben-Peretz, M., & Cohen, R. B. (2014). Records of practice and the development of collective professional knowledge. British Journal of Educational Studies, 62(3), 317-335. https://doi.org/10.1080/00071005.2014.959466
  5. Barlow, A. T., Edwards, C. M., Robichaux-Davis, R., & Sears, R. (2020). Enhancing and transforming virtual instruction. Mathematics Teacher: Learning and Teaching PK-12, 113(12), 972-982. https://doi.org/10.5951/mtlt.2020.0283
  6. Berry, R. Q. (2018, August 15). Unpacking identities and agency through the voices of black boys. National Council of Teachers of Mathematics' blog. https://my.nctm.org/blogs/robert-berry/2018/08/15/unpacking-identities-and-agency-through-the-voices
  7. Berry, R. Q. (2019, May). Examining equitable teaching using the mathematics teaching framework. President's Messages, National Council of Teachers of Mathematics. https://www.nctm.org/News-and-Calendar/Messages-from-the-President/Archive/Robert-Q_-Berry-III/Examining-Equitable-Teaching-Using-the-Mathematics-Teaching-Framework/
  8. Billings, G. L. (1997). It doesn't add up: African American students' mathematics achievement. Journal for Research in Mathematics Education, 28(6), 697-708. https://doi.org/10.5951/jresematheduc.28.6.0697
  9. Cai, J., & Moyer, J. C. (1995). Middle school students' understanding of average: A problem-solving approach. In D. Owens (Ed.), Proceedings of the Seventeenth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (Vol. 1) (pp. 359-364). The ERIC Clearinghouse for Science, Mathematics, and Environmental Education.
  10. Cobb, P., Gresalfi, M., & Hodge, L. L. (2009). An interpretive scheme for analyzing the identities that students develop in mathematics classrooms. Journal for Research in Mathematics Education, 40(1), 40-68. https://doi.org/10.5951/jresematheduc.40.1.0040
  11. Creswell, J. W. (2014). Research design: Qualitative, quantitative, and mixed methods approaches (4th ed.). SAGE Publications.
  12. Dick, T. P., & Hollebrands, K. F. (2011). Focus in high school mathematics: Technology to support reasoning and sense making. National Council of Teachers of Mathematics.
  13. Edwards, M. T. (2001). The electronic "other": A study of calculator-based symbolic manipulation utilities with secondary school mathematics students. (Publication No. 3011050) [Doctoral dissertation, The Ohio State University]. ProQuest Dissertations Publishing.
  14. Erickson, F. (2006). Definition and analysis of data from videotape: some research procedures and their rationales. In J. L. Green, G. Camilli & P. B. Elmore (Eds.), Handbook of complementary methods in education research (pp. 177-191). Routledge.
  15. EqT-tech. (n.d.). Equity-centered transformative technology lesson analysis tool. https://www.eqttech.org/home
  16. Gardee, A. (2019). Social relationships between teachers and learners, learners' mathematical identities and equity. African Journal of Research in Mathematics, Science and Technology Education, 23(2), 233-243. https://doi.org/10.1080/18117295.2019.1662641
  17. Gutierrez, R. (2002). Enabling the practice of mathematics teachers in context: toward a new equity research agenda. Mathematical Thinking and Learning, 4(2&3), 145-187. https://doi.org/10.1207/s15327833mtl04023_4
  18. Harper, K., Guros, C., & Temkin, D. (2023). Healthy schools can create more racially equitable communities. Child Trends and Kaiser Permanente Thriving Schools. https://doi.org/10.56417/2766n1313c
  19. Kane, T. J., & Staiger, D. O. (2008). Estimating teacher impacts on student achievement: An experimental evaluation. National Bureau of Economic Research. https://doi.org/10.3386/w14607
  20. Kennedy, M. M. (2005). Inside teaching: How classroom life undermines reform. Harvard University Press.
  21. Kilpatrick, J., Swafford, J., & Findell, B. (2001). Adding it up: Helping children learn mathematics. National Academy Press. https://doi.org/10.17226/9822
  22. LaMar, T. (2020). Relationships with mathematics: The importance of agency and authority. In A. I. Sacristan, J. C. Cortes-Zavala, & P. M. Ruiz-Arias (Eds.), Mathematics Education Across Cultures: Proceedings of the 42nd Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 2097-2104). PME-NA. https://doi.org/10.51272/pmena.42.2020-353
  23. Langer-Osuna, J. M. (2017). Authority, identity, and collaborative mathematics. Journal for Research in Mathematics Education, 48(3), 237-247. https://doi.org/10.5951/jresematheduc.48.3.0237
  24. Lewis, C. (2016). How does lesson study improve mathematics instruction? ZDM - Mathematics Education, 48(4), 571-580. https://doi.org/10.1007/s11858-016-0792-x
  25. Lewis, J. M. (2008). Through the looking glass: A study of teaching. Journal of Research in Mathematics Education, Monograph, 14, 1-12. https://www.jstor.org/stable/30037739
  26. Mokros, J., & Russell, S. J. (1995). Children's concepts of average and representativeness. Journal for research in Mathematics Education, 26(1), 20-39. https://doi.org/10.5951/jresematheduc.26.1.0020
  27. National Center for Educational Statistics. (2022). National Center for Educational Statistics. Enrollment characteristics. https://nces.ed.gov/ccd/schoolsearch/schooldetail.asp?Search=1&DistrictID=2601103&SchoolPageNum=5&ID=260110304703
  28. National Council of Teachers of Mathematics. (2014). Principles to actions: Ensuring mathematical success for all. Author.
  29. National Council of Teachers of Mathematics. (2018). Catalyzing change in high school mathematics: Initiating critical conversations. Author.
  30. National Council of Teachers of Mathematics. (2023, May 22). Equitable integration of technology for mathematics learning: A position of the National Council of Teachers of Mathematics. National Council of Teachers of Mathematics. https://www.nctm.org/News-and-Calendar/News/NCTM-News-Releases/NCTM-Releases-New-Position-Statement-on-Equitable-Integration-of-Technology-for-Mathematics-Learning-2146916633/
  31. National Council of Teachers of Mathematics. (n.d.a). Using identity and agency to frame access and equity. https://www.nctm.org/Conferences-and-Professional-Development/Principles-to-Actions-Toolkit/Using-Identity-and-Agency-to-Frame-Access-and-Equity/
  32. National Council of Teachers of Mathematics. (n.d.b). Mean and median. https://www.nctm.org/Classroom-Resources/Illuminations/Interactives/Mean-and-Median/
  33. Noss, R., Healy, L., & Hoyles, C. (1997). The construction of mathematical meanings. Educational Studies in Mathematics, 33, 203-233.
  34. Peters, S. A., Bennett, V. M., Young, M., & Watkins, J. D. (2016). A fair and balanced approach to the mean. Mathematics Teaching in the Middle School, 21(6), 364-375. https://doi.org/10.5951/mathteacmiddscho.21.6.0364
  35. Puentedura, R. R. (2013, May 29). SAMR: Moving from enhancement to transformation. Ruben R. Puentedura's Weblog. http://www.hippasus.com/rrpweblog/archives/000095.html
  36. Rockoff, J. E. (2004). The impact of individual teachers on student achievement: Evidence from panel data. American Economic Review, 94(2), 247-252. https://doi.org/10.1257/0002828041302244
  37. Schoenfeld, A. H. (2020). Mathematical practices, in theory and practice. ZDM, 52(6), 1163-1175. https://doi.org/10.1007/s11858-020-01162-w
  38. Schoenfeld, A., Fink, H., Zuniga-Ruiz, S., Huang, S., Wei, X., & Chirinda, B. (2023). Helping students become powerful mathematics thinkers: Case studies of teaching for robust understanding. Routledge. https://doi.org/10.4324/9781003375197
  39. Shaughnessy, M. (2007). Research on statistics learning and reasoning. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 957-1010). Information Age Publishing.
  40. Stenhouse, L. (1985). Research as a basis for teaching: Readings from the work of Lawrence Stenhouse. Heinemann Educational Books.
  41. Stigler, J. W., & Hiebert, J. (2009). The teaching gap: Best ideas from the world's teachers for improving education in the classroom. Simon and Schuster.
  42. Suh, J. (n.d.). Math tech-knowledgy for equity: Equity-centered Transformative Technology (EQTTech). Onmason. http://mathtechknowledgy.onmason.com/intro/
  43. Suh, J., Roscioli, K., Leong, K. & Tate, H. (2022). Transformative technology for equity-centered instruction. In E. Langran (Ed.), Proceedings of Society for Information Technology & Teacher Education international conference (pp. 1559-1567). Association for the Advancement of Computing in Education. https://www.learntechlib.org/primary/p/220920/
  44. Wang, X. S., Perry, L. B., Malpique, A., & Ide, T. (2023). Factors predicting mathematics achievement in PISA: A systematic review. Large-Scale Assessments in Education, 11(1), 24. https://doi.org/10.1186/s40536-023-00174-8.
  45. Watson, J. M., & Moritz, J. B. (2000). The longitudinal development of understanding of average. Mathematical Thinking and Learning, 2(1-2), 11-50. https://doi.org/10.1207/s15327833mtl0202_2