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Connecting a teacher dashboard to a student digital collaborative environment: supporting teacher enactment of problem-based mathematics curriculum

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Abstract

Teacher dashboards in mathematics classrooms tend to provide teachers with information on student performance that are often linked to classroom management systems, online course systems, or peer-tutoring software. Teacher dashboards also tend to emphasize features that support teachers using a “transition” or “direct instruction” model. In our approach, we iteratively designed, developed, tested, and refined a teacher dashboard that is linked to a student digital collaborative environment with an embedded problem-based mathematics curriculum. In this study, we investigate teacher dashboard features that support teacher enactment of problem-based mathematics curriculum embedded in a digital collaborative platform. We report on design principles that guided the development of three teacher dashboard features: (1) monitoring evidence of student thinking in real-time or after class, (2) accessing workspace for whole-class discussions of the problem, and (3) creating and sending “just-in-time” supports. The pedagogical advantages and challenges teachers face throughout the iterative development process are also discussed. Evidence from observational data and teacher interviews suggests that the organic synergism generated from the student and teacher digital platform offers several ways that teachers are provided with new and timely information from teacher dashboards that supports problem-based mathematics teaching.

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Notes

  1. This work was supported by the National Science Foundation grants, DRL-1660926, DRL- 1,620,934, and DRL-1620874. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.

References

  • Abdu, R., Schwarz, B., & Mavrikis, M. (2015). Whole-class scaffolding for learning to solve mathematics problems together in a computer-supported environment. ZDM Mathematics Education, 47(7), 1163–1178.

    Article  Google Scholar 

  • Adler, J. (2000). Conceptualising resources as a theme for teacher education. Journal of Mathematics Teacher Education, 3(3), 205–224.

    Article  Google Scholar 

  • Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: what makes it special? Journal of Teacher Education, 59(5), 389–407.

    Article  Google Scholar 

  • Barab, S. (2014). Design-based research: a methodological toolkit for engineering change. In R. K. Sawyer (Ed.), The Cambridge handbook of the learning sciences (2nd ed., pp. 151–170). Cambridge University Press.

    Chapter  Google Scholar 

  • Bertacchini, F., Bilotta, E., Caldarola, F., & Pantano, P. (2018). The role of computer simulations in learning analytic mechanics towards chaos theory: a course experimentation. International Journal of Mathematical Education in Science and Technology, 50(1), 100–120.

    Article  Google Scholar 

  • Boaler, J. (1998). Open and closed mathematics: student experiences and understandings. Journal for Research in Mathematics Education, 29(1), 41–62.

    Article  Google Scholar 

  • Brown, M. (2009). The teacher-tool relationship. In J. T. Remillard, B. A. Herbel-Eisenmann, & G. M. Lloyd (Eds.), Mathematics teachers at work: connecting curriculum materials and classroom instruction (pp. 17–36). Routledge.

    Google Scholar 

  • Burkhardt, H., & Schoenfeld, A. (2020). Not just “implementation:” the synergy of research and practice in an engineering research approach to educational design and development. ZDM Mathematics Education, 53, 991–1005. https://doi.org/10.1007/s11858-020-01208-z

    Article  Google Scholar 

  • Cai, J., & Howson, G. (2013). Toward an international mathematics curriculum. In M. A. K. Clements, A. J. Bishop, C. Keitel, J. Kilpatrick, & F. K. S. Leung (Eds.), Third international handbook of mathematics education (pp. 949–974). Springer.

    Google Scholar 

  • Capraro, M., Capraro, R., & Cifarelli, V. (2007). What are students thinking as they solve open-ended mathematics problems? In D. K. Pugalee, A. Rogerson, & A. Schnick (Eds.), Proceedings of the ninth international conference of Mathematics Education in a Global Community (pp. 124–128). Charlotte, NC: The University of North Carolina.

  • Chapin, S., & O’Connor, C. (2007). Academically productive talk: supporting student learning in mathematics. In W. G. Martin, M. Strutchens, & P. Elliott (Eds.), The learning of mathematics (pp. 113–128). National Council of Teachers of Mathematics.

    Google Scholar 

  • Choppin, J., & Borys, Z. (2017). Trends in the design, development, and use of digital curriculum materials. ZDM Mathematics Education, 49, 663–674.

    Article  Google Scholar 

  • Choppin, J., Carson, C., Borys, Z., Cerosaletti, C., & Gillis, R. (2014). A typology for analyzing digital curricula in mathematics education. International Journal of Education in Mathematics, Science, and Technology, 2(1), 11–25.

    Article  Google Scholar 

  • Choppin, J., Roth McDuffie, A., Drake, C., & Davis, J. (2015). Curriculum metaphors in U.S. middle school mathematics. In T. G. Bartell, K. Bieda, R. Putnam, K. Bradfield, & H. Dominguez (Eds.), Proceedings of the 37th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 65–72). East Lansing, MI: Michigan State University.

  • Chu, H. C., Chen, J. M., & Tsai, C. L. (2017). Effects of an online formative peer-tutoring approach on students’ learning behaviors, performance and cognitive load in mathematics. Interactive Learning Environments, 25(2), 203–219.

    Article  Google Scholar 

  • Clements, D. H. (2007). Curriculum research: toward a framework for “research-based curricula.” Journal for Research in Mathematics Education, 38(1), 35–70.

    Google Scholar 

  • Dani, A., & Nasser, R. (2016). Use of intelligent tutor in post-secondary mathematics education in the United Arab Emirates. Turkish Online Journal of Educational Technology, 15(4), 152–162.

    Google Scholar 

  • Drijvers, P., Doorman, M., Boon, P., Reed, H., & Gravemeijer, K. (2010). The teacher and the tool: instrumental orchestrations in the technology-rich mathematics classroom. Educational Studies in Mathematics, 75(2), 213–234.

    Article  Google Scholar 

  • Edson, A. J., Phillips, E., Slanger-Grant, Y., & Stewart, J. (2019). The arc of learning framework: an ergonomic resource for design and enactment of problem-based curriculum. International Journal of Educational Research, 93(1), 118–135.

    Article  Google Scholar 

  • Faber, J., Luyten, H., & Visscher, A. (2017). The effects of a digital formative assessment tool on mathematics achievement on student motivation: results of a randomized experiment. Computers & Education, 106, 83–96.

    Article  Google Scholar 

  • Ferguson, R., Brasher, A., Clow, D., Cooper, A., Hillaire, G., Mittelmeijer, J., Rienties, B., & Ullmann, T. (2016). Research evidence on the use of learning analytics: implications for education policy. Joint Research Centre Science for Policy Report.

  • Fosnot, C. T., & Jacobs, W. (2010). Young mathematicians at work: constructing algebra. Heinemann.

    Google Scholar 

  • Fraivillig, J. (2001). Strategies for advancing children’s mathematical thinking. Teaching Children Mathematics, 8(8), 454–459.

    Article  Google Scholar 

  • Gal, K., Livny, A., Prusak, N., Schwarz, B. B., Segal, A., & Swidan, O. (2018). Orchestrating the emergence of conceptual learning: a case study in a geometry class. International Journal of Computer-Supported Collaborative Learning, 13(2), 189–211.

    Article  Google Scholar 

  • Hiebert, J., & Grouws, D. A. (2007). The effects of classroom mathematics teaching on students’ learning. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 371–404). National Council of Teachers of Mathematics.

    Google Scholar 

  • Hufferd-Ackles, K., Fuson, K. C., & Sherin, M. G. (2004). Describing levels and components of a math-talk learning community. Journal for Research in Mathematics Education, 35(2), 81–116.

    Article  Google Scholar 

  • Jackson, K. J., Shahan, E. C., Gibbons, L. K., & Cobb, P. A. (2012). Launching complex tasks. Mathematics Teaching in the Middle School, 18(1), 24–29.

    Article  Google Scholar 

  • Kickmeier-Rust, M. D., Hillemann, E.-C., & Albert, D. (2014). Gamification and smart feedback. International Journal of Game-Based Learning, 4(3), 35–46.

    Article  Google Scholar 

  • Kim, D., Yoon, M., Jo, I. H., & Branch, R. M. (2018). Learning analytics to support self-regulated learning in asynchronous online courses: a case study at a women’s university in South Korea. Computers and Education, 127, 233–251.

    Article  Google Scholar 

  • Lappan, G., Fey, J. T., Fitzgerald, W. M., Friel, S. N., & Phillips, E. D. (2004). Getting to know connected mathematics: an implementation guide. Pearson Prentice Hall.

    Google Scholar 

  • Lappan, G., Phillips, E. D., Fey, J. T., & Friel, S. N. (2014). Connected Mathematics3. Boston: Pearson.

    Google Scholar 

  • Leatham, K. R., Peterson, B. E., Stockero, S. L., & Van Zoest, L. R. (2015). Conceptualising mathematically significant pedagogical opportunities to build on student thinking. Journal for Research in Mathematics Education, 46(1), 88–124.

    Article  Google Scholar 

  • Leshota, M., & Adler, J. (2018). Disaggregating a mathematics teacher’s pedagogical design capacity. In L. Fan, L. Trouche, C. Qi, S. Rezat, & J. Visnovska (Eds.), Research on mathematics textbooks and teachers’ resources (pp. 89–117). ICME-13 Monographs. Springer.

  • Michaels, S., O’Connor, C., & Resnick, L. (2008). Reasoned participation: accountable talk in the classroom and in civic life. Studies in Philosophy and Education, 27(4), 283–297.

    Article  Google Scholar 

  • Miyazaki, M., Fujita, T., & Jones, K. (2015). Flow-chart proofs with open problems as scaffolds for learning about geometrical proof. ZDM Mathematics Education, 47(7), 1211–1224.

    Article  Google Scholar 

  • Ramli, I. S. M., Maat, S. M., & Khalid, F. (2019). Learning analytics in mathematics: a systematic review. International Journal of Academic Research in Progressive Education and Development, 8(4), 436–449.

    Article  Google Scholar 

  • Remillard, J. T. (2005). Examining key concepts in research on teachers’ use of mathematics curricula. Review of Educational Research, 75(2), 211–246.

    Article  Google Scholar 

  • Remillard, J. T., & Heck, D. J. (2014). Conceptualizing the curriculum enactment process in mathematics education. ZDM: an International Journal for Mathematics Education, 46(5), 705–718.

    Article  Google Scholar 

  • Rezat, S., Visnovska, J., Trouche, L., Qi, C., & Fan, L. (2018). Present research on mathematics textbooks and teachers’ resources in ICME-13: conclusion and perspectives. In L. Fan, L. Trouche, C. Qi, S. Rezat, & J. Visnovska (Eds.), Research on mathematics textbooks and teachers’ resources: advances and issues (pp. 343–358). Springer.

    Chapter  Google Scholar 

  • Roth McDuffie, A., Choppin, J., Drake, C., & Davis, J. (2018). Middle school mathematics teachers’ noticing of components in mathematics curriculum materials. International Journal of Educational Research, 92, 173–187.

    Article  Google Scholar 

  • Schukajlow, S., Kolter, J., & Blum, W. (2015). Scaffolding mathematical modelling with a solution plan. ZDM Mathematics Education, 47(7), 1241–1254.

    Article  Google Scholar 

  • Silver, E. A., & Smith, M. (1996). Building discourse communities in mathematics classrooms: a worthwhile but challenging journey. In P. C. Elliott & M. J. Kenney (Eds.), Communication in mathematics: K-12 and beyond (pp. 20–28). National Council of Teachers of Mathematics.

    Google Scholar 

  • Smith, M. S., & Stein, M. K. (2011). Five practices for orchestrating productive mathematics discussion. Reston: NCTM.

    Google Scholar 

  • Stein, M. K., Grover, B. W., & Henningsen, M. (1996). Building student capacity for mathematical thinking and reasoning: an analysis of mathematical tasks used in reform classrooms. American Educational Research Journal, 33(2), 455–488.

    Article  Google Scholar 

  • Stein, M.K., Smith, M.S., Henningsen, M.A., & Silver, E.A. (2000). Implementing standards-based mathematics instruction: A casebook for professional development. New York: Teachers College Press.

    Google Scholar 

  • Sztajn, P., Confrey, J., Wilson, P. H., & Edgington, C. (2012). Learning trajectory based instruction: toward a theory of teaching. Educational Researcher, 41(5), 147–156.

    Article  Google Scholar 

  • Verbert, K., Govaerts, S., Duval, E., Santos, J.L., Van Assche, F., Parra, G., et al. (2014). Learning dashboards: An overview and future research opportunities. Personal and Ubiquitous Computing, 18, 1499–1514.

    Google Scholar 

  • Wirkala, C., & Kuhn, D. (2011). Problem-based learning in K-12 education: is it effective and how does it achieve its effects? American Educational Research Journal, 48(5), 1157–1186.

    Article  Google Scholar 

  • Wise, A., Yuting, Z., & Hausknecht, S. (2014). Learning analytics for online discussions: embedded and extracted approaches. Journal of Learning Analytics, 1(2), 48–71.

    Article  Google Scholar 

  • Xing, W., Wadholdm, R., Petakovic, E., & Goggins, S. (2015). Group learning assessment: developing a theory-informed analytics. Educational Technology and Society, 18(2), 110–128.

    Google Scholar 

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Funding

Division of Research on Learning in Formal and Informal Settings (Grant no. DRL-1660926, DRL- 1620934, and DRL-1620874).

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Correspondence to Alden J. Edson.

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Edson, A.J., Phillips, E.D. Connecting a teacher dashboard to a student digital collaborative environment: supporting teacher enactment of problem-based mathematics curriculum. ZDM Mathematics Education 53, 1285–1298 (2021). https://doi.org/10.1007/s11858-021-01310-w

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