Physical Sciences and Mathematics Commons^™

Adaptive Analytics: It’S About Time, Charles Dziuban, Colm Howlin, Patsy Moskal, Tammy Muhs, Connie Johnson, Rachel Griffin, Carissa Hamilton

Current Issues in Emerging eLearning

This article describes a cooperative research partnership among a large public university, a for-profit private institution and their common adaptive learning platform provider. The focus of this work explored adaptive analytics that uses data the investigators describe as metaphorical “digital learning dust” produced by the platform as a matter of course. The information configured itself into acquired knowledge, growth, baseline status and engagement. Two complimentary models evolved. The first, in the public university, captured end-of-course data for predicting success. The second approach, in the private university, formed the basis of a dynamic real-time data analytic algorithm. In both cases the …

Stem Education In College: An Analysis Of Stakeholders’ Recent Challenges And Potential Solutions, Santanu De, Georgina Arguello

FDLA Journal

A vast majority of academic disciplines and curricula in the college center around Science, Technology, Engineering, and Mathematics (STEM), which are critical to developing the skills necessary for a global workforce. Rapid changes in pedagogical setups, educational modes, and advances in instructional technology entail diverse challenges for key stakeholders (i.e. students, faculty, and the organizations). This paper highlights the most relevant challenges and potential solutions in STEM higher education at the college level, reported in the last decade. The holistic analysis combining the three stakeholders’ perspectives would help elucidate significant contemporary aspects impacting the fields. The goal is to further …

The Need For Interdisciplinary Collaborations, Susan Ganter, Bill Haver

Journal of Mathematics and Science: Collaborative Explorations

The challenge faced by developers of collegiate mathematics curricula is to determine—and then provide—the mathematical experiences that are true to the spirit of mathematics yet also relevant to students’ futures in other fields. The Curriculum Foundations Project (CF) of MAA/CRAFTY was designed to gather input from partner disciplines through a series of 22 two- to three-day workshops. Each workshop resulted in a report directed to the mathematics community, summarizing the workshop’s recommendations and conclusions. One message from the partner disciplines appeared again and again: introductory collegiate mathematics courses should focus on giving students an understanding of fundamental mathematical topics while …

Preparing Students For Digital Era Careers, Melissa Stange

Inquiry: The Journal of the Virginia Community Colleges

This paper will discuss why technical skills alone will not be enough for students to have successful careers in the digital age. Much of their success will hinge on critical soft skills, such as adaptability, inner strength, holistic thinking, and a collaborative spirit. Examples will be provided for inclusion with a computer science program, but in a way that is easily adaptable to other disciplines.

Three Creativity-Fostering Projects Implemented In A Statistics Class, Margaret Adams

Journal of Humanistic Mathematics

Undergraduates in an introductory statistics class at a rural Southeastern college were assigned three creativity-fostering projects: statistics vocabulary crossword puzzle, word wall, and graffiti art poster. Given math anxiety, fear of failure, and lack of enthusiasm, it seemed imperative to spark interest and involvement. Rhodes 4P’s model (1961) served as the framework for this intrinsic case study involving 62 students. Independent thinking and research, peer collaboration, and use of art supplies within this model (person, press, process and product) generated remarkable learning outcomes. Grading rubrics focused on originality, quality and statistics content. Projects were classified into three qualitative categories ranging …

Tactivities: Fostering Creativity Through Tactile Learning Activities, Angie Hodge-Zickerman, Eric Stade, Cindy S. York, Janice Rech

Journal of Humanistic Mathematics

As mathematics teachers, we hope our students will approach problems with a spirit of creativity. One way to both model and encourage this spirit – and, at the same time, to keep ourselves from getting bored – is through creative approaches to problem design. In this paper, we discuss ``TACTivities'' – mathematical activities with a tactile component – as a creative outlet for those of us who teach mathematics, and as a resource for stimulating creative thinking in our students. We use examples, such as our ``derivative fridge magnets'' TACTivity, to illustrate the main ideas. We emphasize that TACTivities can …

Going Beyond Promoting: Preparing Students To Creatively Solve Future Problems, Kristin M. Arney, Kayla K. Blyman, Jennifer D. Cepeda, Scott A. Lynch, Michael J. Prokos, Scott Warnke

Journal of Humanistic Mathematics

While we cannot know what problems the future will bring, we can be almost certain that solving them will require creativity. In this article we describe how our course, a first-year undergraduate mathematics course, supports creative problem solving. Creative problem solving cannot be learned through a single experience, so we provide our students with a blend of experiences. We discuss how the course structure enables creative problem solving through class instruction, during class activities, during out of class assessments, and during in class assessments. We believe this course structure increases student comfort with solving open-ended and ill-defined problems similar to …

Does Your Course Effectively Promote Creativity? Introducing The Mathematical Problem Solving Creativity Rubric, Kayla K. Blyman, Kristin M. Arney, Bryan Adams, Tara A. Hudson

Journal of Humanistic Mathematics

As believers in the power of blending the creative with the quantitative, we design our courses with an eye towards developing creative problem solvers. However, when it comes time to evaluate our course's success in developing creative problem solvers we come away with a plethora of qualitative evidence and yet we are left hungry for the quantitative evidence we desire as mathematicians.

In this article we describe the development of the Mathematical Problem Solving Creativity Rubric and its pilot use in a freshman-level Mathematical Modeling and Introduction to Calculus course at the United States Military Academy. We not only come …

Exploring User Interface Improvements For Software Developers Who Are Blind, Guarionex J. Salivia, Flint D. Million, Megan E. Bening

Journal of Science Education for Students with Disabilities

Software developers who are blind and interact with the computer non-visually face unique challenges with information retrieval. We explore the use of speech and Braille combined with software to provide an improved interface to aid with challenges associated with information retrieval. We motivate our design on common tasks performed by students in a software development course using a Microprocessor without Interlocked Pipeline Stages (MIPS) architecture simulation tool. We test our interface via a single-subject longitudinal study, and we measure and show improvement in both the user’s performance and the user experience.

Tactviz: A Vmd Plugin For Tactile Visualization Of Protein Structures, Olivia R. Shaw, Jodi A. Hadden-Perilla

Journal of Science Education for Students with Disabilities

Scientific disciplines spanning biology, biochemistry, and biophysics involve the study of proteins and their functions. Visualization of protein structures represents a barrier to education and research in these disciplines for students who are blind or visually impaired. Here, we present a software plugin for readily producing variable-height tactile graphics of proteins using the free biomolecular visualization software Visual Molecular Dynamics (VMD) and protein structure data that is publicly available through the Protein Data Bank. Our method also supports interactive tactile visualization of proteins with VMD on electronic refreshable tactile display devices. Employing our method in an academic laboratory has enabled …

Visualization Without Vision – How Blind And Visually Impaired Students And Researchers Engage With Molecular Structures, Croix J. Laconsay, Henry B. Wedler, Dean J. Tantillo

Journal of Science Education for Students with Disabilities

This article examines the tools and techniques currently available that enable blind and visually impaired (BVI) individuals to visualize three-dimensional objects used in learning chemistry concepts. How BVI individuals engage with and visualize molecular structure is discussed and recent tactile (or haptic) and auditory methods for visualization of various chemistry concepts are summarized. Remaining challenges for chemistry education researchers are described with the aim of highlighting the potential value of educational research in further enabling BVI students to pursue careers in science, technology, engineering, and mathematics (STEM) fields.

College Students’ Images Of Mathematicians And Mathematical Careers, Katrina Piatek-Jimenez, Miranda Nouhan, Michaela Williams

Journal of Humanistic Mathematics

In this paper we report our findings of college students’ images of mathematicians and we reflect on different methodologies used to assess this information. The study reported in this paper was conducted in two stages. During the first stage, we asked 179 college students to “draw a mathematician” and also asked them to list five characteristics and five careers for a mathematician. In the second stage of the study, we conducted four focus group interviews with a total of twelve college students. During the focus group interviews, we showed the students 16 photos of real people and asked them to …

Divergent Student Views Of Cybersecurity, Susan E. Ramlo, John B. Nicholas

Journal of Cybersecurity Education, Research and Practice

Cybersecurity is a worldwide issue and concern. Prior studies indicate that many people do not use cybersecurity best practices. Although these prior studies used large-scale surveys or interviews, this study used Q methodology [Q] because Q provides greater insight than Likert-format surveys. In fact, Q was created to scientifically study subjectivity. Within a Q study, various stages as well as philosophical, epistemological, and ontological principles represent a complete methodology. At first, Q researchers collect items that represent the broad range of communications about the topic (called the concourse). Although the items can be pictures, scents, or other means of communication, …

Using A Faculty Learning Community To Promote Interdisciplinary Course Reform, Rhonda Bishop, Victor Piercey, Mischelle Stone

Journal of Mathematics and Science: Collaborative Explorations

As part of a multi-institution, National Science Foundation (NSF) grant-funded project, Ferris State University (FSU) joins a national effort to reform mathematics curricula. Researchers from FSU developed and facilitated a faculty learning community (FLC) as one strategy to redesign the traditional approach to the quantitative reasoning skill development of students in the departments of mathematics, nursing, social work, and the College of Business. Over the course of one academic year, the FLC provided an interdisciplinary faculty connection to develop pedagogical approaches that integrated cross-curricular concepts and context from each discipline. The FLC not only produced uniquely designed, learning-centered approaches to …

Analyzing The Cognitive Demand Of Enacted Examples In Precalculus: A Comparative Case Study Of Graduate Student Instructors, Erica R. Miller

Journal of Mathematics and Science: Collaborative Explorations

The cognitive demand of mathematical tasks is an important aspect of analyzing the impact of instruction on student learning. The purpose of this study was to examine the instructional examples enacted by graduate student precalculus instructors in order to answer the following questions: What is the cognitive demand of the enacted examples? What does a high cognitive demand example look like when an instructor uses direct instruction? And how are examples drawn from the written curriculum enacted in different ways? Using both random and purposeful sampling of precalculus lessons, I conducted classroom observations as well as pre- and post-observation interviews …

Promoting Partnership, Cultivating Colleagueship: The Summit-P Project At Norfolk State University, Maila Brucal-Hallare, Shahrooz Moosavizadeh, Makarand Deo

Journal of Mathematics and Science: Collaborative Explorations

Norfolk State University (NSU) is the only public Historically Black College and University (HBCU) member institution in SUMMIT-P. At NSU, a strong collaboration between the Department of Mathematics and its partner discipline, the Department of Engineering, has been established for the Calculus I and Differential Equations classes as part of the SUMMIT-P project. In this paper, we record a brief history of this collaboration project at NSU, the various structures within the SUMMIT-P Project, the site visit that occurred in Spring 2019, and how recent activities helped guide the direction of the project at NSU.

Paradigms For Creating Activities That Integrate Mathematics And Science Topics, Janet Bowers, Kathy Williams, Antoni Luque, Devon Quick, Mary Beisiegel, Jody Sorensen, Joan Kunz, Diane Smith, Lori Kayes

Journal of Mathematics and Science: Collaborative Explorations

Research has shown that undergraduate students benefit from seeing examples of mathematics applied to real-world situations. This article describes three different paradigms for how math and discipline partner faculty worked together to create mathematical activities that illustrate applications of the topics being studied in precalculus and calculus. All three examples are discussed within the framework of PDSA cycles to describe the process by which the teams collaborated to plan, enact, study, and refine their lessons. Findings discuss both the difficulties of creating integrated activities (differences in terms and definitions between math and science faculty, different foregrounding of math versus science …

Designing A Student Exchange Program: Facilitating Interdisciplinary, Mathematics-Focused Collaboration Among College Students, Bryan D. Poole, Linden Turner, Caroline Maher-Boulis

Journal of Mathematics and Science: Collaborative Explorations

Interdisciplinary collaboration is necessary for students’ professional preparation (Laird et al., 2014; Repko, 2014) and may promote effective learning transfer of course content. Such collaborations have resulted in enhanced problem-solving skills and conceptual understanding of statistics content (Dierker et al., 2012; Everett, 2016; Hammersley et al., 2019; Woodzicka et al., 2015). As a result of ongoing collaborations between faculty members in different disciplines and at different universities, we created a “Student Exchange Program” to encourage interdisciplinary collaboration between undergraduate students in mathematics and social sciences. In the current paper, we describe past research that informed the design of this program, …

From Creative Idea To Implementation: Borrowing Practices And Problems From Social Science Disciplines, Anil Venkatesh, Erin Militzer

Journal of Mathematics and Science: Collaborative Explorations

By collaborating with partner disciplines, mathematics educators gain valuable insight into the perspectives and needs of their students. This insight can lead to improved coordination of content and methods between courses in mathematics and the partner disciplines. This curricular coordination not only invites students to apply their mathematical knowledge in their own professional contexts, but also allows students to communicate mathematical mastery in the language of their intended professions. In this paper, we discuss the challenges specific to developing a mathematics course in collaboration with partner disciplines, with particular attention to portability to a wide range of math instructors. We …

Using Site Visits To Strengthen Collaboration, Victor Piercey, Rebecca Segal, Afroditi Filippas, Tao Chen, Soloman Kone, Rosalyn Hargraves, Jack Bookman, John Hearn, Debbie Pike, Kathy Williams Phd

Journal of Mathematics and Science: Collaborative Explorations

The SUMMIT-P project is a multi-institutional endeavor to leverage interdisciplinary collaboration in order to improve the teaching of undergraduate mathematics courses in the first two years of college. One goal of this work is to establish collaborative communities among the institutions involved. As part of the project, institutions visit one another on site visits that are structured according to a common protocol. The site visits have been valuable to the project. Participating institutions report the exchange of actionable ideas and feedback; members of the grant leadership team have used the site visits to direct the overall project, and evaluators have …

Fishbowl Discussions: Promoting Collaboration Between Mathematics And Partner Disciplines, Stella K. Hofrenning, Rosalyn Hobson Hargraves, Tao Chen, Afroditi Vennie Filippas, Rhonda Fitzgerald, John Hearn, Lori J. Kayes, Joan Kunz, Rebecca Segal

Journal of Mathematics and Science: Collaborative Explorations

A National Consortium for Synergistic Undergraduate Mathematics via Multi-institutional Interdisciplinary Teaching Partnerships project (SUMMIT-P) is a collaboration of institutions focused on revising first- and second-year mathematics courses with the help of partner disciplines with prerequisite mathematics courses. This paper describes the fishbowl discussion technique used by the consortium members to encourage interdisciplinary conversation. Vignettes describing the results of conversations that occurred at several consortium member institutions are provided by the co-authors.

Curricular Change In Institutional Context: A Profile Of The Summit-P Institutions, Mary D.R. Beisiegel, Suzanne I. Dorée

Journal of Mathematics and Science: Collaborative Explorations

There is a national call to improve the mathematics curricula in the first two undergraduate years to improve student success and engagement. But curricular change happens in an institutional context: Who are the students, and what do they need to succeed? What is the climate for change? Does the department regularly revise its courses and curriculum? Is it common for different departments to collaborate on curricular change? What supports or obstacles does the department, college, or university have for changing the curriculum? Who are the institutional stakeholders, and what practices build their buy-in? In the SUMMIT-P project, nine different institutions …

Integrative And Contextual Learning In College Algebra -An Interdisciplinary Collaboration With Economics, Choon Shan Lai, Glenn Henshaw, Tao Chen, Soloman Kone

Journal of Mathematics and Science: Collaborative Explorations

Many students consider mathematics too abstract and useless for their academic and career goals. Meanwhile, instructors in quantitative disciplines such as economics find many students mathematically underprepared for their courses. The disconnect between students’ perceptions of the utility of mathematics and their life and career may have contributed to some of the under-performance in learning mathematics. Addressing this problem requires collaboration across disciplines to develop an understanding of each other’s needs, more specifically to develop an integrative platform that allows students to apply mathematical skills in interdisciplinary contexts (Ganter & Barker, 2004). We collaboratively designed and implemented an integrative platform …

Evaluating A Large-Scale Multi-Institution Project: Challenges Faced And Lessons Learned, Erica Slate Young, Bryanne Peterson, Sarah Schott, Jack Bookman

Journal of Mathematics and Science: Collaborative Explorations

SUMMIT-P consists of nine participating institutions working toward common goals but from unique perspectives. Evaluating such a large-scale project with diverse stakeholders has presented challenges. For one, evaluation on this scale necessitates a team effort rather than a single evaluator. Communication is key among the evaluators as well as among the project players at large. Participation and reliable, timely feedback from participants are perhaps the most important issues while also posing some of our greatest challenges. We present strategies we developed to counteract these challenges. In particular, we discuss the development of an assessment tracking system used to not only …

Structured Engagement For A Multi-Institutional Collaborative To Tackle Challenges And Share Best Practices, Rosalyn H. Hargraves, Stella K. Hofrenning, Janet Bowers, Mary D.R. Beisiegel, Victor Piercey, Erica Slate Young

Journal of Mathematics and Science: Collaborative Explorations

A National Consortium for Synergistic Undergraduate Mathematics via Multi-institutional Interdisciplinary Teaching Partnerships (SUMMIT-P), funded by the National Science Foundation, is a multi-institutional consortium with members from twelve institutions. The consortium adapted two protocols developed by the School Reform Initiative to: 1. provide advice on challenges or dilemmas a consortium member is facing and 2. share project successes with consortium members. The two protocols—a Modified Descriptive Consultancy protocol and a Modified Success Analysis with Reflective Questions protocol—provide a structured format for these discussions. This paper provides an in-depth description of the two protocols and how they have been used for this …

The Roles And Benefits Of Using Undergraduate Student Leaders To Support The Work Of Summit-P, Janet Bowers, Bryan D. Poole, Caroline Maher-Boulis, Ashley Schwartz, Angelica Bloomquist, Erica Slate Young

Journal of Mathematics and Science: Collaborative Explorations

The article by Poole, Turner, and Maher-Boulis (2020) describes one way in which undergraduates have been used to support the SUMMIT-P goal of investigating examples of how mathematics and statistics are applied in partner discipline courses. Two other universities in the SUMMIT-P consortium, San Diego State University and Oregon State University, also use undergraduates in different ways to support the work of integrating science applications into math classes. In this article, we compare and contrast these three uses to further highlight this somewhat untapped resource.

The Process And A Pitfall In Developing Biology And Chemistry Problems For Mathematics Courses, Mary Beisiegel, Lori Kayes, Devon Quick, Richard Nafshun, Michael Lopez, Steve Dobrioglo, Michael Dickens

Journal of Mathematics and Science: Collaborative Explorations

In this paper, we describe our process for developing applied problems from biology and chemistry for use in a differential calculus course. We describe our conversations and curricular analyses that led us to change from our initial focus on college algebra to calculus. We provide results that allowed us to see the overlaps between biology and mathematics and chemistry and mathematics and led to a specific focus on problems related to rates of change. Finally, we investigate the problems that were developed by the partner disciplines for use on recitation activities in calculus and how those problems were modified by …

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Journal of Mathematics and Science: Collaborative Explorations

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Leading Through Change: 2020, Domenick Pinto

School of Computer Science & Engineering Faculty Publications

Having served as department chair and school director for 31 years, I have witnessed a tremendous evolution in the role of chair as economic, social and student climates have changed. My session will summarize collected data from chairs of departments of various sizes and types in order to discuss and understand better our ever changing role as we see responsibilities of delegating, leading change, creative budgeting and fundraising, grant writing and managing conflict become vital to our positions.

Introducing Parallelism To First-Year Cs Majors, Barbara M. Anthony, D. Cenk Erdil, Olga Glebova, Robert Montante

School of Computer Science & Engineering Faculty Publications

We propose to strengthen the computer science (CS) curriculum by embedding parallel concepts in a required first-semester seminar taken by all incoming declared CS majors. We introduce students to parallel computing concepts through a series of unplugged activities so that students see parallel approaches as a natural form of solution to a task. We describe a pilot offering of the class and activities, with measurements and analysis of what students self-report and their performance on assessments.