Elizabeth A. Burroughs

Using physical simulations to motivate the use of differential equations in models of disease spread

Elizabeth G. Arnold, Elizabeth A. Burroughs, Owen S. Burroughs, Mary Alice Carlson

The SIR model is a differential equations based model of the spread of an infectious disease that compartmentalises individuals in a population into one of three states: those who are susceptible to a disease (S), those who are infected and can transmit …

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Using physical simulations to motivate the use of differential equations in models of disease spread

Elizabeth G. Arnold, Elizabeth A. Burroughs, Owen S. Burroughs, Mary Alice Carlson

This is an Accepted Manuscript of an article published by Taylor & Francis in International Journal of Mathematical Education in Science and Technology on 2023-09-04, available online: https://www.tandfonline.com/10.1080/0020739X.2023.2244494. Deposited by shareyourpaper.org and openaccessbutton.org. We've taken reasonable steps to ensure this content doesn't …

Encountering ideas about teaching and learning mathematics in undergraduate mathematics courses

Elizabeth A. Burroughs, Elizabeth G. Arnold, James A. Mendoza Álvarez, Andrew Kercher et autres

Abstract We study the ideas about teaching and learning mathematics that undergraduate students generate when they encounter tasks designed to embed approximations of teaching practice in mathematics courses taken by a general population of students. These tasks attend to the dual goals …

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Mathematical Modeling as a Tool for Empowerment

Elizabeth G. Arnold, Elizabeth A. Burroughs, Mary Alice Carlson, Elizabeth W. Fulton et autres

Ear to the Ground features voices from several corners of the mathematics education world.

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Fostering Empathy in Mathematics through Mathematical Modeling

Elizabeth A. Burroughs, Mary Alice Carlson

Modeling, a cyclic process by which mathematicians develop and use mathematical tools to represent, understand, and solve problems, provides learning opportunities for school students. Mathematical modeling situates mathematical problem solving squarely in the middle of everyday experiences. Modeling engenders the habits and …

Including School Mathematics Teaching Applications in an Undergraduate Abstract Algebra Course

James A. Mendoza Álvarez, Andrew Kercher, Kyle Turner, Elizabeth G. Arnold et autres

We describe the design and implementation of lessons in undergraduate abstract algebra that integrate applications to teaching high school mathematics. Each lesson consists of a pre-activity, class activity, homework set, assessment questions and detailed instructor notes. The included applications intend to bridge …

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Including School Mathematics Teaching Applications in an Undergraduate Discrete Mathematics Course

Elizabeth W. Fulton, Elizabeth G. Arnold, Elizabeth A. Burroughs, James A. Mendoza Álvarez et autres

This paper introduces lessons designed to incorporate applications to teaching high school mathematics in an undergraduate Discrete Mathematics course. Because many prospective high school teachers do not take courses that are specifically designed for teachers, providing materials aimed at teacher preparation that …

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Applications of Teaching Secondary Mathematics in Undergraduate Mathematics Courses

Elizabeth G. Arnold, Elizabeth A. Burroughs, Elizabeth W. Fulton, James A. Mendoza Álvarez

Robust preparation of future secondary mathematics teachers requires attention to the acquisition of mathematical knowledge for teaching. Many future teachers learn mathematics content primarily through mathematics major courses that are taught by mathematicians who do not specialize in teacher preparation. How can …

Applications of Teaching Secondary Mathematics in Undergraduate\n Mathematics Courses

Elizabeth G. Arnold, Elizabeth A. Burroughs, Elizabeth W. Fulton, James A. Mendoza Álvarez

Robust preparation of future secondary mathematics teachers requires\nattention to the acquisition of mathematical knowledge for teaching. Many\nfuture teachers learn mathematics content primarily through mathematics major\ncourses that are taught by mathematicians who do not specialize in teacher\npreparation. How can mathematics education researchers assist …

Insights Regarding the Professional Development of Teachers of Young Learners of Mathematical Modeling

Elizabeth A. Burroughs

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The design of tasks that address applications to teaching secondary mathematics for use in undergraduate mathematics courses

James A. Mendoza Álvarez, Elizabeth G. Arnold, Elizabeth A. Burroughs, Elizabeth W. Fulton et autres

This paper describes theoretical design principles emerging from the development of tasks for standard undergraduate mathematics courses that address applications to teaching secondary mathematics. While researchers recognize that mathematical knowledge for teaching is a form of applied mathematics, applications to teaching remain …

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A Clash Between Knowledge and Practice: A Case Study of TPACK inThree Pre-service Secondary Mathematics Teachers

Rejoice Akapame, Elizabeth A. Burroughs, Elizabeth G. Arnold

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