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Full-Text Articles in Education
Differential Equations For A Changing World:How To Engage Students In Learning And Applying Differential Equations, Biyong Luo
CODEE Journal
In this article, I share my decade-long experience teaching an intensive five-week summer Differential Equation course covering complex topics and tips for creating an interactive and supportive learning environment to optimize student engagement. This article provides my detailed approach to planning and teaching an asynchronous course with rigor and flexibility for each student. An interactive teaching approach and variety of learning activities will augment students’ mathematical fluency and appreciation of the importance of differential equations in modeling a wide variety of real-world situations with special attention to ways differential equations can be relevant to creating public policy.
Introducing Systems Via Laplace Transforms, Ollie Nanyes
Introducing Systems Via Laplace Transforms, Ollie Nanyes
CODEE Journal
The purpose of this note is to show how to move from Laplace Transforms to a brief introduction to two dimensional systems of linear differential equations with only basic matrix algebra.
Towards Pedagogy Supporting Ethics In Modelling, Marie Oldfield
Towards Pedagogy Supporting Ethics In Modelling, Marie Oldfield
Journal of Humanistic Mathematics
Education for concepts such as ethics and societal responsibility that are critical in building robust and applicable mathematical and statistical models do currently exist in isolation but have not been incorporated into the mainstream curricula at the school or university level. This is partially due to the split between fields (such as mathematics, statistics, and computer science) in an educational setting but also the speed with which education is able to keep up with industry and its requirements. I argue that principles and frameworks of socially responsible modelling should begin at school level and that this would mean that ethics …
Music In Steam: Beyond Notes, Hao Huang
Music In Steam: Beyond Notes, Hao Huang
The STEAM Journal
Given current debates about STEAM, it would be well to remember that more than five centuries before STEM was conceived, the original Renaissance man, Leonardo da Vinci, wrote in one of his notebooks that "To develop a complete mind, study the science of art, study the art of science. Learn how to see. Realize that everything connects to everything else." (Spong 2006) A discussion of the effectiveness of teaching music and its accompanying technology in conjunction with math and the science education follows. .Given the recent shift from in-classroom teaching to online instruction compelled by the Covid 19 pandemic, an …
Design For Steam: Creating Participatory Art With Purpose, Nick Kamienski, Nicole M. Radziwill
Design For Steam: Creating Participatory Art With Purpose, Nick Kamienski, Nicole M. Radziwill
The STEAM Journal
Innovation is simultaneously reflected in the variety and diversity of art. Over the past century, art forms have progressed along a continuum from static to dynamic, and then to interactive and participatory. The therapeutic value of creating and engaging in all of these art forms has also been identified. Furthermore, educators have recognized the profound value of art and design within the context of scientific and technical learning, and STEAM (science, technology, engineering, art, and math) has emerged as an educational philosophy with a strong base of support. This paper defines and articulates participatory elements of STEAM projects, and provides …
What Do We Mean By Mathematical Proof?, Todd Cadwalladerolsker
What Do We Mean By Mathematical Proof?, Todd Cadwalladerolsker
Journal of Humanistic Mathematics
Mathematical proof lies at the foundations of mathematics, but there are several notions of what mathematical proof is, or might be. In fact, the idea of mathematical proof continues to evolve. In this article, I review the body of literature that argues that there are at least two widely held meanings of proof, and that the standards of proof are negotiated and agreed upon by the members of mathematical communities. The formal view of proof is contrasted with the view of proofs as arguments intended to convince a reader. These views are examined in the context of the various roles …