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Physical Sciences and Mathematics Commons

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Full-Text Articles in Physical Sciences and Mathematics

Model Selection Through Cross-Validation For Supervised Learning Tasks With Manifold Data, Derek Brown Jan 2024

Model Selection Through Cross-Validation For Supervised Learning Tasks With Manifold Data, Derek Brown

The Journal of Purdue Undergraduate Research

No abstract provided.


Participatory Action Research: Undergraduate Researchers Engaging Secondary Students In Social Justice Mathematics, Isabelle Miller, Alexis Grimes, Camryn Adkison Oct 2021

Participatory Action Research: Undergraduate Researchers Engaging Secondary Students In Social Justice Mathematics, Isabelle Miller, Alexis Grimes, Camryn Adkison

The Journal of Purdue Undergraduate Research

No abstract provided.


Across The Atlantic: Service-Learning In Spain And Morocco, Lauren Ward Oct 2019

Across The Atlantic: Service-Learning In Spain And Morocco, Lauren Ward

Purdue Journal of Service-Learning and International Engagement

Purdue provides many activities in service-learning each year, and though they are varied experiences, many of the same lessons can be learned. I had the opportunity to participate in two service-learning study abroad trips while at Purdue- the first to Spain and Morocco, and the second to Haiti. While on these trips, I was involved in projects that seemed very different. In Morocco, my group taught high school students about the history of mathematics during the Islamic Golden Age and how mathematics is utilized in Purdue research. In Haiti, I worked with my teammates to teach water sanitation and storage …


Mathematical Description And Mechanistic Reasoning: A Pathway Toward Stem Integration, Paul J. Weinberg Jul 2017

Mathematical Description And Mechanistic Reasoning: A Pathway Toward Stem Integration, Paul J. Weinberg

Journal of Pre-College Engineering Education Research (J-PEER)

Because reasoning about mechanism is critical to disciplined inquiry in science, technology, engineering, and mathematics (STEM) domains, this study focuses on ways to support the development of this form of reasoning. This study attends to how mechanistic reasoning is constituted through mathematical description. This study draws upon Smith’s (2007) characterization of mathematical description of scientific phenomena as ‘‘bootstrapping,’’ where negotiating the relationship between target phenomena and represented relations is fundamental to learning. In addition, the development of mathematical representation presents a viable pathway towards STEM integration. In this study, participants responded to an assessment of mechanistic reasoning while cognitive interviews …


The Scientific Theories Of Michael Faraday And James Clerk Maxwell, Shannon P. Israelsen Sep 2014

The Scientific Theories Of Michael Faraday And James Clerk Maxwell, Shannon P. Israelsen

The Purdue Historian

This paper explores the role of mathematical formalism in physics theories through an analysis of the work of physicists Michael Faraday and James Clerk Maxwell in the field of electromagnetism. After a brief description of the educational backgrounds of each scientist, their views on the nature of physics theory and its relationship to mathematics are contrasted. Faraday sought a mathematics-free theory to describe the results of his experiments, producing a family of concepts that became the roots of electromagnetic field theory. Maxwell built upon these concepts, giving them robust mathematical expression and incorporating them into one unified theoretical picture. An …