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Full-Text Articles in Education

Find, Process, And Share: An Optimal Control In The Vidale-Wolfe Marketing Model, Michael C. Barg Dec 2018

Find, Process, And Share: An Optimal Control In The Vidale-Wolfe Marketing Model, Michael C. Barg

CODEE Journal

The Vidale-Wolfe marketing model is a first-order, linear, non-homogeneous ordinary differential equation (ODE) where the forcing term is proportional to advertising expenditure. With an initial response in sales as the initial condition, the solution of the initial value problem is straightforward for a first undergraduate ODE course. The model serves as an excellent example of many relevant topics for those students whose interests lie in economics, finance, or marketing. Its inclusion in the curriculum is particularly rewarding at an institution without a physics program. The model is not new, but it was novel to us when a group of students …


Experiences Using Inquiry-Oriented Instruction In Differential Equations, Keith Nabb Nov 2018

Experiences Using Inquiry-Oriented Instruction In Differential Equations, Keith Nabb

CODEE Journal

Student-centered instruction can be a challenging endeavor for teachers and students. This article reports on the use of the Inquiry-Oriented Differential Equations (IO-DE) curriculum (Rasmussen, 2002) in an undergraduate differential equations course. Examples of student work are shared with specific reference to research in mathematics education.


Teaching Differential Equations Without Computer Graphics Solutions Is A Crime, Beverly H. West Nov 2018

Teaching Differential Equations Without Computer Graphics Solutions Is A Crime, Beverly H. West

CODEE Journal

In the early 1980s computer graphics revolutionized the teaching of ordinary differential equations (ODEs). Yet the movement to teach and learn the qualitative methods that interactive graphics affords seems to have lost momentum. There still exist college courses, even at big universities, being taught without the immense power that computer graphics has brought to differential equations. The vast majority of ODEs that arise in mathematical models are nonlinear, and linearization only approximates solutions sufficiently near an equilibrium. Introductory courses need to include nonlinear DEs. Graphs of phase plane trajectories and time series solutions allow one to see and analyze the …


Motherhood And Teaching: Radical Care, Ksenija Simic-Muller Jul 2018

Motherhood And Teaching: Radical Care, Ksenija Simic-Muller

Journal of Humanistic Mathematics

This essay is a personal reflection on how I leverage my positioning as a caregiver in my roles of a mathematician, teacher, and mother, to advance a vision for a more just and equitable society. I argue that care at home and in the classroom takes similar forms, and can be liberating instead of oppressive.


Revealing Luz: Illuminating Our Identities Through Duoethnography, Carrie Diaz Eaton, Luz Marizza Bailey Jul 2018

Revealing Luz: Illuminating Our Identities Through Duoethnography, Carrie Diaz Eaton, Luz Marizza Bailey

Journal of Humanistic Mathematics

Hispanic Americans make up 15% of the current US workforce, but they only account for 7% of the STEM Education workforce [8]. One effective way to reach this population, particularly Latinas, is by providing stories and ethnographic biographies of successful Latinas they can relate to. It is important to note that Latinas have been earning PhDs in STEM disciplines outside of the US much longer than US-born Latinas have been earning them inside. Thus we offer the story of a mathematics educator, from Peru, Dr. Luz Antonia Mendizábal Gálvez de Rodriguez, a girl who was given a chance to be …