251. Algorithms, spreadsheets and functions: exploring middle graders’ functional reasoning during a STEM entrepreneurial pitch competition.
- Author
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Belcher, Michael, Confrey, Jere, and Krupa, Erin
- Subjects
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RESEARCH questions , *MIDDLE schools , *DECISION making , *RESEARCH methodology , *BUSINESS students - Abstract
This paper reports on a five-day study exploring six middle school students’ developing understanding of algorithms and functions during the
Building Algorithms challenge, an entrepreneurial Design & Pitch Challenge in STEM. Students proposed businesses and built automated spreadsheet algorithms to inform users’ decision making by assigning ratings to objects (e.g. videos, music, racetracks) based on their preferences. Part of a larger NSF study of students’ participation in entrepreneurial experiences with mathematical connections, the study used a design-based research methodology. Qualitative data (video of teams working, team interviews, and daily work samples) were analysed to answer the research question:How do students demonstrate functional reasoning as they build entrepreneurial solutions to the Building Algorithms challenge? Three themes emerged that describe how the challenge and its entrepreneurial framing enhanced students’ engagement with key processes of function building, including: (1) identifying personally meaningful functional relationships; (2) defining and operationalising authentic variables and function rules; and (3) making sense of writing, testing, and refining function rules. This study contributes to the field’s understanding of functions, demonstrating how entrepreneurship and a math-focused design challenge can elicit and enhance specific and targeted middle grades mathematics content. [ABSTRACT FROM AUTHOR]- Published
- 2024
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