Science and Mathematics Education Commons^™

Learning Mathematics From The Master: A Collection Of Euler-Based Primary Source Projects For Today’S Students, Part I, Janet Heine Barnett, Dominic Klyve, Kenneth M. Monks, Adam E. Parker

Euleriana

This article and its sequel will together highlight a set of nine classroom ready projects that draw on the remarkable writing of Leonhard Euler (1707–1783) as a means to help students develop an understanding of standard topics from today’s undergraduate mathematics curriculum. Part of a larger collection of primary source projects intended for use in a wide range of undergraduate mathematics courses, these projects are freely available to students and their instructors. We provide a general description of the pedagogical design underlying these projects, more detailed descriptions of the individual projects themselves, and instructions for obtaining downloadable copies for classroom …

Teaching Coding In A Virtual Environment: Overcoming Challenges, Marion S. Smith

Southwestern Business Administration Journal

Educational research suggests that teaching techniques are subject matter specific. Teaching techniques in introductory programming classes are centered around two approaches used by students in learning. One approach is where students develop a thorough understanding of what they are learning. This is referred to as “deep learning”. Other students use a “surface approach” where they perform the tasks required from them. The persona of the instructor and the choice of instructional materials used within a class determines which approach the student will adopt. Active teaching techniques fosters “deep learning”. With the need to adapt active teaching techniques to a virtual …

The Mathematics Of Gossip, Jessica Deters, Izabel P. Aguiar, Jacquie Feuerborn

CODEE Journal

How does a lie spread through a community? The purpose of this paper is two-fold: to provide an educational tool for teaching Ordinary Differential Equations (ODEs) and sensitivity analysis through a culturally relevant topic (fake news), and to examine the social justice implications of misinformation. Under the assumption that people are susceptible to, can be infected with, and recover from a lie, we model the spread of false information with the classic Susceptible-Infected-Recovered (SIR) model. We develop a system of ODEs with lie-dependent parameter values to examine the pervasiveness of a lie through a community.

The model presents the opportunity …

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.

Why Teach With Pbl? Motivational Factors Underlying Middle And High School Teachers’ Use Of Problem-Based Learning, Huei-Chen Lee, Margaret R. Blanchard

Interdisciplinary Journal of Problem-Based Learning

This quantitative study examined factors underlying middle and high school teachers’ choices about whether to use problem-based learning (PBL). Survey items measured respondents’ perceived competence, autonomy, and relatedness, and the value and costs they placed on implementing PBL. Teachers who have taught with PBL (n = 126) had significantly more formal PBL professional development, higher levels of perceived competence and value for this pedagogy, perceived more support from peers, and perceived lower costs than did the non–PBL use teachers (n = 30). Findings highlight the importance of formal PBL professional development in increasing teachers’ intention to implement PBL …

Using Active Learning Strategies In Calculus To Improve Student Learning And Influence Mathematics Department Cultural Change, Melissa A. Dagley, Michele Gill, Erin Saitta, Brian Moore, Jacquelyn Chini, Xin Li

Proceedings of the Interdisciplinary STEM Teaching and Learning Conference (2017-2019)

An interdisciplinary team of physics, education, math and chemistry faculty developed MATH-GAINS (Growing as Adaptive INstructors) creating an ecosystem where mathematics faculty persistently and sustainably apply active learning strategies in their teaching of calculus courses. As a result of implementation, MATH-GAI NS proposed to positively affect the wide-spread adaptation of active learning strategies by department faculty as well as student learning, retention and graduation of over 900 students annually. The objective of this paper is to provide details on how the project was conceived and implemented; instruments, research methodologies and active learning strategies used; and examples of faculty projects and …

Inquiry Based Learning From The Learner’S Point Of View: A Teacher Candidate’S Success Story, Caroline Johnson Caswell, Derek J. Labrie

Journal of Humanistic Mathematics

The goal of this paper is to review current research on Inquiry Based Learning (IBL) and shed some light, from a student's perspective, on the challenges and rewards of this pedagogy. The first part of the article provides an extensive review of the literature on IBL. The second part focuses on one student's experiences in an IBL classroom.

In particular, a graduate secondary mathematics student reflects upon his experiences in a college mathematics class where the instructor implemented an Inquiry Based Learning model. His experience is validated by current research on IBL educational methodology which structures the classroom environment for …