Undergraduate

The complex interplay between examples and proving: Where are we and where should we head?

Our work suggests re-conceptualization of research concerning students’ over reliance on example-based reasoning, moving from a view of such reasoning as a stumbling block to quickly overcome toward a view of such reasoning as a necessary and critical foundation in learning to prove. We have extended prior research and have developed a comprehensive analytic framework (CAPS: Criteria-Affordances-Purposes-Strategies) for characterizing and making sense of the roles and uses of examples in proving-related activities of secondary school students, undergraduate students, and mathematicians.
Author/Presenter: 
Orit Zaslavsky
Eric Knuth
Lead Organization(s): 
Year: 
2018
Short Description: 

Our work suggests re-conceptualization of research concerning students’ over reliance on example-based reasoning, moving from a view of such reasoning as a stumbling block to quickly overcome toward a view of such reasoning as a necessary and critical foundation in learning to prove.

The Use of Theory in Research on Broadening Participation in PreK–12 STEM Education: Information and guidance for prospective DRK–12 grantees

This paper seeks to provide a resource for prospective DRK–12 grantees by identifying some of the theories that current and recent DRK–12 grantees are using in their research on broadening participation.

Author/Presenter: 
Arthur Powell
Natalie Nielsen
Malcolm Butler
Cory Buxton
Odis Johnson, Jr.
Leanne Ketterlin-Geller
Jennifer Stiles
Catherine McCulloch
Year: 
2018
Short Description: 

This paper seeks to provide a resource for prospective DRK-12 awardees by identifying some of the theories that current and recent DRK-12 awardees are using in their research on broadening participation.

Dissemination Toolkit: Policy Outreach

Policy icon

Why Communicate with Legislators and Their Staff?

Funding for the National Science Foundation (NSF) is contingent on legislative support. Because of this, it is important for NSF awardees to communicate with legislators about the value and importance of their projects. This is especially true for legislators who sit on committees relevant to STEM education.

Author/Presenter: 
CADRE
Year: 
2019
Short Description: 

Funding for the National Science Foundation (NSF) is contingent on legislative support. Because of this, it is important for NSF awardees to communicate with legislators about the value and importance of their projects.

Resource Type: 
Tool

Tips for Building Professional Networks

This tip sheet is one of a series developed for early career STEM education researchers. It offers tips for building professional networks.

Author/Presenter: 
CADRE
Year: 
2017
Short Description: 

This tool is designed for early career STEM education researchers to offer tips for building professional networks. The advice largely comes from National Science Foundation-funded awardees and early career researchers and developers who have graciously shared information
about their own networking experiences.

Tips for Writing for Publication

This tip sheet is one of a series developed for early career STEM education researchers. It offers tips for writing for publication.

Author/Presenter: 
CADRE
Year: 
2017
Short Description: 

This tool is designed for early career STEM education researchers to offer tips for writing for publication. The advice largely comes from National Science Foundation-funded awardees who have graciously shared information about their own writing and publishing experiences.

Tips for Pursuing Non-Academic Careers

This tip sheet is one of a series developed for early career STEM education researchers. It offers tips for pursuing non-academic careers.

Author/Presenter: 
CADRE
Year: 
2017
Short Description: 

This tool is designed for early career STEM education researchers to offer tips for pursuing careers outside of academia. The advice largely
comes from National Science Foundation-funded awardees who have graciously shared information about their own career pathways, work experiences, and perspectives.

Tips for Pursuing Academic Careers

This tip sheet is one of a series developed for early career STEM education researchers. It offers tips for pursuing academic careers.

Author/Presenter: 
CADRE
Year: 
2017
Short Description: 

This tool is designed for early career STEM education researchers to offer tips for pursuing careers in academia. The advice largely comes from National Science Foundation-funded awardees who have graciously shared information about their own career pathways, work experiences, and perspectives.

Tips for Developing NSF Proposals

This tip sheet is one of a series developed for early career STEM education researchers. It offers tips for writing NSF proposals. 
Author/Presenter: 
CADRE
Year: 
2017
Short Description: 

This tool is designed for early career STEM education researchers to offer tips for writing grant proposals. The advice largely comes from National Science Foundation-funded awardees who have graciously shared information about their own proposal writing experiences. Their perspectives are a good complement to the official NSF guidelines.

An Exploratory Analysis of Pre-service Middle School Teachers’ Mathematical Arguments

Zambak, V. S., & Magiera, M. T. (2015). An Exploratory Analysis of Pre-service Middle School Teachers’ Mathematical Arguments. In T. 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. 428, East Lansing, MI: Michigan State University.

Author/Presenter: 
Vecihi S. Zambak
Marta T. Magiera
Lead Organization(s): 
Year: 
2015
Short Description: 

Calls for increased focus on mathematical argumentation in school mathematics are critical for teacher educators charged with preparing prospective K-8 teachers (PST) to foster mathematical argumentation in their future classrooms. This is because research suggests that middle school years are crucial for students to gain proficiency in creating and critiquing mathematical arguments. Supporting PSTs’ strong understanding of what it means to do mathematics necessitates that teacher preparation programs place an emphasis on mathematical and pedagogical preparation that facilitates PSTs’ strong understanding of mathematical argumentation and proving in school mathematics.

Analysis of Pre-service Teachers’ Generalization and Justification Strategies in Solutions to Figural Pattern-generalization Tasks

We analyzed 37 PSTs’ written solutions to four figural pattern generalization tasks, video recordings of class discussions, and audio-recordings of problem-based interviews during which the PSTs were asked to solve one pattern generalization task, to answer the following research questions: (1) What relationships and structural aspects of a figural pattern do PSTs build upon to formulate pattern generalization? (2) How do they utilize uncovered relationships and structural aspects of a figural pattern to justify their general rules? 

Author/Presenter: 
Meghan Sebranek
Marta T. Magiera
Lead Organization(s): 
Year: 
2016
Short Description: 

We analyzed 37 PSTs’ written solutions to four figural pattern generalization tasks, video recordings of class discussions, and audio-recordings of problem-based interviews during which the PSTs were asked to solve one pattern generalization task, to answer the following research questions: (1) What relationships and structural aspects of a figural pattern do PSTs build upon to formulate pattern generalization? (2) How do they utilize uncovered relationships and structural aspects of a figural pattern to justify their general rules?

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