Designing to transform: High school students’ reasoning with geometric transformations in an authentic real-world project

Publications
As educators pursue more authentic and relevant approaches to mathematics instruction, it is essential to understand how students reason mathematically in innovative learning environments. This study examines students’ reasoning with geometric transformations during a summer camp, in which they used dynamic geometry environments (DGEs) to design transforming, multi-functional products. Student artifacts were analyzed using two frameworks on reasoning in transformational geometry. taxonomy of transformational reasoning. Findings show that students’ reasoning was closely tied to their product
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Algorithms, spreadsheets and functions: exploring middle graders’ functional reasoning during a STEM entrepreneurial pitch competition

Publications
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
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Amplifying Mathematics Learning Through Teacher Discourse Moves: Investigating Teachers' Personal Practical Knowledge Within an Entrepreneurial Design Projects

Publications
This study investigates how teachers facilitate small-group mathematical discourse during Design & Pitch (D&P) Challenges in STEM, an experiential framework combining entrepreneurial, project-based, and design-based learning. By examining teacher interactions, we explore how educators draw on their personal practical knowledge to support student thinking and navigate the unpredictable nature of student-generated ideas in these innovative learning environments. This exploratory study investigates how teachers drew on their personal practical knowledge during group check-ins, leveraging teacher
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Transforming Preschoolers’ Spatial Orientation: Leveraging New Technologies for Learning in Early Childhood Classrooms and at Home

Poster

The development of spatial orientation (SO) is a strong predictor of math skills and later school success and academic achievement. Thus, fostering SO skills before children enter formal schooling provides them with a sound foundation for later mathematical learning. Our project is titled Transforming Preschoolers' Spatial Orientation: Leveraging New Technologies for Learning in Early Childhood Classrooms and at Home.

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Digital Mathematics Storytelling - Chao

Poster

Digital Storytelling with children in urban emergent communities, this project aims to create protocols that children can use to document, share, and showcase the rich mathematical knowledge that exists in their own families and communities.

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Peering a Generation into the Future: NSF's Young Scholars Program (YSP) and the nation’s STEM workforce

Poster

This project is a multiyear study of the impact of an enrichment program that the US National Science Foundation (NSF) managed in the 1990s. The Young Scholars Program (YSP) involved around 18,000 7th–12th grade students and 600 separate grants between 1989 and 1996. The purpose of YSP was to introduce high-achieving middle and secondary school students to science, technology, engineering, and mathematics (STEM) fields to encourage their entry into those fields and thus increase the size and quality of the nation’s STEM workforce.

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