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Designing dynamic feedback to help second graders understand equivalence: Centering students’ perspectives

Published: 19 June 2023 Publication History

Abstract

Understanding mathematical equivalence is foundational for developing early algebraic thinking. Despite its importance, many young students struggle with the concept and use incorrect strategies when solving equivalence problems. Immediate, computer-based feedback may help students learn correct strategies. However, designing effective feedback for math equivalence is challenging. In this work-in-progress paper, we discuss usability studies and child-centered design with young students. Our goal is to better understand how students make sense of different kinds of feedback, what kinds of formats they prefer, and what actions they take after receiving the feedback. By centering young students’ perspectives in the design process, we can avoid blind spots created by our adult researcher perspectives and increase the likelihood of student engagement and knowledge gains. We describe the extended iterative process required to help students develop a formal understanding of math equivalence by creating usable and effective computer-based feedback.

References

[1]
Martha W Alibali and Susan GoldinMeadow. 1993. Gesture-speech mismatch and mechanisms of learning: What the hands reveal about a child’ s state of mind. Cognitive psychology 25, 4 (1993), 468–523.
[2]
Martha W Alibali, Eric J Knuth, Shanta Hattikudur, Nicole M McNeil, and Ana C Stephens. 2007. A longitudinal examination of middle school students’ understanding of the equal sign and equivalent equations. Mathematical Thinking and learning 9, 3 (2007), 221–247.
[3]
Kevin Bushweller. 2022. What the Massive Shift to 1-to-1 Computing Means for Schools, in Charts. Retrieved March 15, 2023 from https://www.edweek.org/technology/what-the-massive-shift-to-1-to-1-computing-means-for-schools-in-charts/2022/05
[4]
Jodi L Davenport, Yvonne S Kao, Kristen N Johannes, Caroline Byrd Hornburg, and Nicole M McNeil. 2022. Improving children’s understanding of mathematical equivalence: An efficacy study. Journal of Research on Educational Effectiveness (2022), 1–28.
[5]
Wadi Eghterafi, Mary C Tucker, Icy Zhang, and Ji Yun Son. 2022. Effect of Feedback with Video-Based Peer Modeling on Learning and Self-Efficacy.Online Learning 26, 2 (2022), 1–21.
[6]
Karen Falkner, Linda Levi, and Thomas Carpenter. 1999. Early Childhood Corner: Children’s Understanding of Equality: A Foundation for Algebra. Teaching children mathematics 6, 4 (1999), 232–236.
[7]
Emily R Fyfe and Bethany Rittle-Johnson. 2016. Feedback both helps and hinders learning: The causal role of prior knowledge.Journal of Educational Psychology 108, 1 (2016), 82.
[8]
Emily R Fyfe, Bethany Rittle-Johnson, and Marci S DeCaro. 2012. The effects of feedback during exploratory mathematics problem solving: Prior knowledge matters.Journal of educational psychology 104, 4 (2012), 1094.
[9]
Vincent Hoogerheide, Sofie MM Loyens, and Tamara van Gog. 2014. Effects of creating video-based modeling examples on learning and transfer. Learning and Instruction 33 (2014), 108–119.
[10]
Caroline Byrd Hornburg. 2017. Optimizing Problem Format to Facilitate Children’s Understanding of Math Equivalence. Ph. D. Dissertation. University of Notre Dame.
[11]
Caroline Byrd Hornburg, Brianna L Devlin, and Nicole M McNeil. 2022. Earlier understanding of mathematical equivalence in elementary school predicts greater algebra readiness in middle school.Journal of Educational Psychology 114, 3 (2022), 540.
[12]
James J Kaput. 1998. Representations, inscriptions, descriptions and learning: A kaleidoscope of windows. Journal of Mathematical behavior 17, 2 (1998), 265–281.
[13]
Nicole M McNeil. 2007. U-shaped development in math: 7-year-olds outperform 9-year-olds on equivalence problems.Developmental Psychology 43, 3 (2007), 687.
[14]
Nicole M McNeil and Martha W Alibali. 2004. You’ll see what you mean: Students encode equations based on their knowledge of arithmetic. Cognitive science 28, 3 (2004), 451–466.
[15]
Nicole M McNeil and Martha W Alibali. 2005. Why won’t you change your mind? Knowledge of operational patterns hinders learning and performance on equations. Child development 76, 4 (2005), 883–899.
[16]
Nicole M McNeil, Caroline Byrd Hornburg, Heather Brletic-Shipley, and Julia M Matthews. 2019. Improving children’s understanding of mathematical equivalence via an intervention that goes beyond nontraditional arithmetic practice.Journal of Educational Psychology 111, 6 (2019), 1023.
[17]
National Assessment of Educational Progress (NAEP). 2022. The Nation’s Report Card.Retrieved March 15, 2023 from https://nces.ed.gov/nationsreportcard/
[18]
Michelle Perry, R Breckinridge Church, and Susan Goldin-Meadow. 1988. Transitional knowledge in the acquisition of concepts. Cognitive Development 3, 4 (1988), 359–400.
[19]
Bethany Rittle-Johnson and Martha Wagner Alibali. 1999. Conceptual and procedural knowledge of mathematics: Does one lead to the other?Journal of educational psychology 91, 1 (1999), 175.

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    cover image ACM Conferences
    IDC '23: Proceedings of the 22nd Annual ACM Interaction Design and Children Conference
    June 2023
    824 pages
    ISBN:9798400701313
    DOI:10.1145/3585088
    Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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    New York, NY, United States

    Publication History

    Published: 19 June 2023

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    Author Tags

    1. Child-centered design
    2. Feedback
    3. Mathematics education
    4. Usability studies

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    IDC '23
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    IDC '23: Interaction Design and Children
    June 19 - 23, 2023
    IL, Chicago, USA

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    Overall Acceptance Rate 172 of 578 submissions, 30%

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    IDC '25
    Interaction Design and Children
    June 23 - 26, 2025
    Reykjavik , Iceland

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