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Secondary mathematics preservice teachers’ perceptions of program (in)coherence

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Abstract

Teacher educators globally have argued that developing coherent programs can combat the fragmentation that often characterizes teacher education and better support teacher learning. Yet, there is little research on coherence in mathematics teacher education, especially from the perspectives of preservice teachers. To that end, in this article, we report how 13 secondary mathematics preservice teachers (PSTs) from one teacher education program perceived their program as coherent, specifically attending to the ideas and practices PSTs engaged with and the settings in which they engaged with those ideas/practices. Based on participatory diagramming interviews and network analysis, we found that PSTs experienced two main sources of incoherence. First, although PSTs had opportunities to learn about equity from multiple settings, they did not perceive that equity and other aspects of mathematics instruction together were coherently organized. Second, PSTs reported learning about two opposing instructional approaches—direct instruction and inquiry-based instruction. PSTs reported that opportunities to learn about inquiry-based instruction were primarily isolated to courses taught by the mathematics education program and were contradicted by learning and experiencing direct instruction in their special education courses, mathematics courses, and field and student teaching experiences. Findings highlight a need to attend to issues of equity, as well as connections among university coursework and between coursework and field. Based on our findings, we conclude with implications for how teacher education programs might respond to and engage with incoherence to support PST learning.

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Acknowledgements

The research reported in this article has been supported by a grant from the University of Missouri Graduate School. Many thanks to the preservice teachers who participated in the study. The second author would also like to thank his STaR 2011 research interest group for inspiration, and some of the artists who sound tracked his work on this manuscript: SAULT (Nine), Darkside (Spiral), and Low (Hey What). A previous draft of this paper was presented at the 2022 meeting of the American Educational Research Association (San Diego, CA).

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Appendix

Appendix

Interview Protocol

Introductory Question

  1. 1.

    First, I’d like to ask you to share about your current status in the teacher education program. What is your major, year, and are you currently taking classes or student teaching?

    1. a.

      (If taking classes) What classes are you currently taking?

    2. b.

      (If student teaching) Where are you student teaching and what class(es)?

Vision of high-quality mathematics instruction

  1. 2.

    If you were asked to observe a teacher’s math classroom for one or more lessons, what would you look for to decide whether the math instruction is high quality?

    1. a.

      Why do you think ___ is important?

    2. b.

      What are some of the things you would expect to find the teacher actually doing in the classroom for instruction to be of high quality?

    3. c.

      Is there anything else you would look for? If so, what? Why?

    4. d.

      Have you talked about this in any of your courses or field experiences?

Ideas and Settings

  1. 3.

    Tell me some things about teaching you’ve talked about, and where you’ve talked about it. This could be from your coursework, instructors, peers, and field placements. I will be taking some notes on our shared Slides.

    1. a.

      (For any words/ideas that are not defined) Can you tell me what that means? Have you heard others using that term or was it specific to [source]?

    2. b.

      How is this related to your role as a math teacher?

    3. c.

      Have you had opportunities to apply these practices in the field? Have you had opportunities to discuss/connect this to other courses or field experiences?

  1. 4.

    Is there anything else about teaching you’ve talked about? Where did you talk about that?

Participatory Diagramming

  1. 5.

    For the remainder of the interview, I’m going to ask you to share your screen of our shared Slides. From what we’ve talked about, can you draw me a representation of how you see it related or connected, or not connected? The list I wrote based on what you talked about might be helpful. Feel free to add anything else that you think of.

    1. a.

      You can use pink ovals for ideas/concepts and yellow ovals for places.

    2. b.

      If you see things you’ve talked about as related, you can connect them. If you don’t see them as related, don’t connect them.

    3. c.

      You can use different lines for different types of relationships.

  2. 6.

    Can you walk me through your diagram?

  3. 7.

    (For connections) You connected these things together. Can you tell me more about that?

    1. a.

      Did all these courses talk about this idea/practice in similar ways, or differently?

  4. 8.

    (For misalignments/contradictions) You described ____. Can you tell me more about that?

    1. a.

      How do you see them as different or similar?

  5. 9.

    (For those lacking connections) You described ____. Can you tell me more about that?

    1. a.

      Why do you see this as not connected to the rest?

  6. 10.

    You’ve talked about these experiences and these courses, but not these other courses or field experiences. (Share list- note the sources PST have not talked about.) Can you talk to me about what you learned there?

    1. a.

      How do you see what you’ve learned as fitting or not fitting in this diagram?

Closing Question

  1. 11.

    Is there anything that I have not asked that would help me better understand your experiences here as a preservice teacher?

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Nguyen, P., Munter, C. Secondary mathematics preservice teachers’ perceptions of program (in)coherence. J Math Teacher Educ (2023). https://doi.org/10.1007/s10857-023-09575-6

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