Physical Sciences and Mathematics Commons^™

Improving Student Knowledge Transfer Between Mathematics And Engineering Courses Through Structured Cross-Disciplinary Collaboration: A Summit-P Initiative, Laura Ellwein Fix, Afroditi Filippas, Maila Brucal-Hallare, Rebecca Segal

Journal of Mathematics and Science: Collaborative Explorations

Student learning across STEM disciplines has been shown to increase with greater integration of applications in mathematics courses. One challenge of this effort is that identical constructs are often presented differently in the partner disciplines than in the mathematics courses. This leads to student confusion and an inability to transfer critical knowledge in their disciplinary courses, even for students who have mastered the mathematical paradigms. An interdisciplinary team at VCU consisting of mathematics and engineering faculty has worked to improve the knowledge transfer required for the integration of applications in the Differential Equations curriculum. This work is part of the …

Interdisciplinary Collaboration To Develop Meaningful Mathematical Experiences, Susan Ganter, Bill Haver

Journal of Mathematics and Science: Collaborative Explorations

This issue of the Journal of Mathematics and Science: Collaborative Explorations (JMSCE) is the second special volume highlighting the impact of the consortium for Synergistic Undergraduate Mathematics via Multi-institutional Interdisciplinary Teaching Partnerships (SUMMIT-P). The development and goals of SUMMIT-P were outlined in the preface of the first special issue of JMSCE devoted to this project (Ganter & Haver, 2020). Full participation from partner discipline faculty is key to the success of redeveloping introductory mathematics courses in a way that incorporates the contextual needs of the other disciplines. As such, SUMMIT-P’s first task was to find ways to best engage colleagues …

Statistics For Nursing And Allied Health At Saint Louis University In The Spirit Of Summit-P, Kimberly S. Druschel, Mike May, Elizabeth Gockel Blessing

Journal of Mathematics and Science: Collaborative Explorations

This paper describes the renewal of a consumer-based elementary statistics course to benefit students in the nursing and allied health disciplines. While the goal of the course transformation was initially to update the pedagogy of the course and ensure students are able to make connections between the course material and their majors, that goal expanded to include the needs and objectives of the client disciplines. This expanded goal was accomplished by incorporating insights gained from a SUMMIT-P business school collaboration and was based on the Curriculum Foundations project recommendations. The paper addresses course projects, instructor development, faculty roles, and interactions …

Full Issue

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

Toward A Student-Ready Cybersecurity Program: Findings From A Survey Of Stem-Students, Lora Pitman, Brian K. Payne, Tancy Vandecar-Burdin, Lenora Thorbjornsen

Journal of Cybersecurity Education, Research and Practice

As the number of available cybersecurity jobs continues to grow, colleges strive to offer to their cybersecurity students an environment which will make them sufficiently prepared to enter the workforce after graduation. This paper explores the academic and professional needs of STEM-students in various higher education institutions across Virginia and how cybersecurity programs can cater to these needs. It also seeks to propose an evidence-based approach for improving the existing cybersecurity programs so that they can become more inclusive and student-ready. A survey of 251 college students in four higher-education institutions in Virginia showed that while there are common patterns …

The Impact Of A Gencyber Camp On In-Service Teachers’ Tpack, Kevin M. Thomas, Jessica Ivy, Kristin Cook, Robert R. Kelley

Journal of Cybersecurity Education, Research and Practice

The purpose of this study was to examine the impact of a GenCyber camp curriculum on teachers’ technology, pedagogy, and content knowledge (TPACK). The camp was designed to engage participants in developing the knowledge and skills to incorporate GenCyber Cybersecurity First Principles and GenCyber Cybersecurity Concepts (GenCyber, 2019) into their curriculums. Participants (37 middle and high school teachers from a variety of disciplines) attended one of two weeklong camps held at a Midwestern liberal arts university. Using the TPACK Self-Reflection and TPACK Self-Assessment Surveys, pre- and post-camp data were collected from participants. Findings indicate that participants demonstrated an increase in …

A Composite Textual Phenomenological Approach To Cures Versus Traditional Laboratory Experiences, Amie S. Sommers, Dana Richter-Egger, Christine E. Cutucache

The Qualitative Report

Here we present unique perspectives from undergraduate students (n=3) in STEM who have taken both a traditional laboratory iteration and a Course-based Undergraduate Research Experience (CURE) iteration of the same introductory chemistry course. CUREs can be effective models for integrating research in courses and fostering student learning gains. Via phenomenological interviews, we asked students to describe the differences in their perspectives, feelings, and experiences between a traditional lab guided by a lab manual and a CURE. We found that (i.) critical thinking/problem solving, (ii.) group work/collaboration, (iii.) student-led research questions and activities, and (iv.) time management are the top four …

Using Covid-19 Vaccine Efficacy Data To Teach One-Sample Hypothesis Testing, Frank Wang

Numeracy

In late November 2020, there was a flurry of media coverage of two companies’ claims of 95% efficacy rates of newly developed COVID-19 vaccines, but information about the confidence interval was not reported. This paper presents a way of teaching the concept of hypothesis testing and the construction of confidence intervals using numbers announced by the drug makers Pfizer and Moderna publicized by the media. Instead of a two-sample test or more complicated statistical models, we use the elementary one-proportion z-test to analyze the data. The method is designed to be accessible for students who have only taken a …

Full Issue

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

Instructor Perspectives: Transitioning From Face-To-Face To An Online Or Hybrid Graduate Level Mathematics Education Course, Heather Nunnally, Toni P. Sorrell, Kristina C. Anthony

Journal of Mathematics and Science: Collaborative Explorations

In this paper, the authors reflect on their transitions from teaching a face-to-face mathematics education course for teachers to teaching using an online or hybrid model. As three veteran educators at two different universities, we share lessons learned in constructing and implementing an online or hybrid learning environment. For us, learning to be flexible in how students completed assignments was important. Although we faced many challenges, we looked at the experience through a novice learner’s lens, and recognized that each of us grew from teaching these classes. We found that the instructors’ experiences in working with mathematics specialist candidates in …

Mathematical Representations In A Synchronous Online Mathematics Specialist Preparation Program, Theresa Wills, Deborah Crawford, Kate Roscioli, Shruti Sanghavi

Journal of Mathematics and Science: Collaborative Explorations

Universities are implementing more online courses (Yamagata-Lynch, 2014). However, instructors may feel a sense of trepidation in transitioning a mathematics class to a synchronous online platform because they do not want to compromise quality pedagogy (Herrington et al., 2001) for the convenience of an online environment (Wills, 2021). Some courses have successfully transitioned to a synchronous online environment while maintaining rich discussion and student collaboration (Baker & Hjalmarson, 2019); however, mathematics content courses include the additional challenge of incorporating problem solving with multiple representations. This paper focuses on how mathematical representations emerge in a synchronous online course for mathematics specialists.

Team Teaching For Discourse: Perspectives Of Instructors And A Student In An Online Probability And Statistics Course For Preparing Mathematics Specialists, V. Rani Satyam, Kristina C. Anthony, Madhumita Basu, Monica Swoyer

Journal of Mathematics and Science: Collaborative Explorations

Team teaching is a form of collaborative work where teachers plan lessons and/or teach together. We discuss the strengths of discourse in the planning stage for an intensive, team-taught, three-week probability and statistics course for mathematics specialists as a way to create and sustain a sense of community and show multiple perspectives in an online course. We delve into two cases of lessons––one about stem-and-leaf plots and another on averages––to describe the interactions of and reflections from three online instructors and a preparing mathematics specialist across the phases of planning, enactment, and the resulting student learning. The conversations about our …

Equity And Access: Empowering Change Agents, Kateri Thunder, Nely Ara-Is, Ashley Carter, Francisca Fowler, April Hawkins, Holly Tate

Journal of Mathematics and Science: Collaborative Explorations

All learners must have access and opportunity to engage meaningfully in the highest levels of mathematics. Mathematics specialists are uniquely situated to contribute to the creation of access and equity for all learners by addressing three target areas with their mathematics teachers and administrators. In order to catalyze change, mathematics specialists need to be prepared to target three obstacles to access and equity: beliefs and expectations, curriculum and instruction, and intervention. This preparation can take place through leadership courses intentionally created to explore the role of change agent and provide practice in negotiating the role.

The Role Of A Mathematics Content-Focused Coaching Project In Preparing Mathematics Specialist Candidates To Coach, Toni P. Sorrell, Jamey Lovin

Journal of Mathematics and Science: Collaborative Explorations

The purpose of this paper is to reflect upon the mathematics content-focused coaching (MCFC) process from the perspective of coaches in their work with teachers, specifically, the effective strategies and techniques used by the mathematics coaches as they work with teachers and focus on mathematics and student learning. We discuss the MCFC project, assigned in many mathematics specialist preparation program leadership classes, in detail. Then we discuss the reflection the participants submitted in a course in which this project was assigned at two different universities and the ways in which these submissions can be used as a reflective activity and …

Online Education: Transferring Personal Experiences To Professional Development, Tracy J. Proffitt, Erica R. Miller, Elicia M. Fleshman

Journal of Mathematics and Science: Collaborative Explorations

In this paper, we discuss how one candidate’s experience as she participated an online mathematics specialist program bolstered her confidence and ability to provide online professional development for her teachers. We include personal accounts by the mathematics specialist program instructors, the mathematics specialist candidate, and an elementary school teacher to illustrate how the experience of completing online graduate courses led to the candidate providing online learning opportunities for teachers. In particular, we highlight the importance of building relationships and using high-quality mathematical tasks in both the online preparation program and the online professional development. This case study provides evidence that …

Virtual Mentorship Of Teacher Leaders: The Ripple Effect, Joan Kernan, Joy Denoon, Eric Roberts, Tammy Sanford

Journal of Mathematics and Science: Collaborative Explorations

Abstract

In this paper, the authors reflect on the first completely online mathematics specialist preparation and mentoring program. Candidates across Virginia successfully completed this program and are now serving as teacher leaders, interventionists, department leaders, instructional coaches, mentors, and program specialists. They are impacting mathematics instruction across the state at all levels. As two mathematics specialists serving as mentors and two candidates, we share our thoughts and ideas as we continue to learn from our mentorship process. The goal is to provide continuous professional development as candidates share problems, successes, research, and best practices to improve mathematics teaching and learning. …

Providing Job Embedded Professional Learning For Mathematics Specialists, Ian T. Shenk, Vickie L. Inge, Candace J. Standley, Allison C. Depiro

Journal of Mathematics and Science: Collaborative Explorations

We know that if professional learning opportunities are to be meaningful and create long-lasting and systemic change, they must be ongoing and job-embedded. One of the most beneficial aspects of having mathematics specialists in schools is that they can provide job-embedded professional learning directly to teachers. Perhaps due to the strong impact mathematics specialists have on teaching and learning, we may overlook the need to provide professional learning to support the growth of mathematics specialists themselves. Just as we provide coaching to teachers to affect their professional growth, we must identify similar opportunities to affect the growth of mathematics specialists. …

A Relationship Built To Impact Instruction: Developing And Sustaining Productive Partnerships Between Mathematics Specialists And Principals, Nathan D. Potter, Hannah Adera Rooney, Melody Locher, Debra Kinsey

Journal of Mathematics and Science: Collaborative Explorations

How does the mathematics specialist provide a profound and lasting impact on instruction? We believe that a productive partnership between the principal and specialist, which we will call the principal-specialist relationship, is at the crux of the matter. When the principal-specialist relationship is built upon a foundation of a shared vision, clear roles, communication, and trust, both the teachers and students in the school benefit. We will explore the impact of the principal-specialist relationship on teacher success during the era of distance learning as necessitated by the COVID-19 pandemic. In order to explore how these ideas come alive in the …

An Examination Of Middle School Students’ Attitudes Toward Science, Michelle L. Schpakow, Jillian L. Wendt, Kelly Paynter

Journal of Mathematics and Science: Collaborative Explorations

For more than 40 years, researchers have been studying the persistent underrepresentation of women in science. Today, the gender gap has narrowed in some, but not all, disciplines of science. To better understand the impetus of this continuing problem, the attitudes of middle school students toward science were examined using a causal-comparative design based on biological sex across four attitude constructs: attitudes toward school science, desire to become a scientist, value of science to society, and perceptions of scientists. A sample of 450 sixth-, seventh-, and eighth-grade science students located in suburban, central New Jersey responded to Likert-type items on …

A Case Of Misalignment Of Reasoning, Affect, And Performance In The Transition-To-Proof, V. Rani Satyam

Journal of Mathematics and Science: Collaborative Explorations

Learning how to prove is known to be difficult for undergraduate students. Understanding students’ growth in the multiple arenas that make up proving is crucial for supporting them. Across four interviews over a semester, I examine one student who showed growth in his reasoning but whose proofs were still incorrect, yet he showed high levels of positive affect including confidence throughout. Investigating this single-subject case serves as an example of the interplay between development and performance. The question of whether we can say this student is a better prover than before––fundamentally, how to weigh reasoning versus affect versus performance––motivates the …

Online Versus In-Person Mathematics Instruction: A Comparison Of Two Instructional Models, Chelsea J. Fisher, Catherine Henney, Patrick Marcolini, Allison Yoder

Journal of Mathematics and Science: Collaborative Explorations

Our paper explores the differences between online and traditional, in-person teaching and learning modalities, looking specifically at courses preparing teachers to be mathematics teacher leaders. In the context of current research on the teaching and learning of mathematics in an online setting, we share our own experiences. We describe the preparation for and teaching of online mathematics, focusing on establishing norms and the use of technology. The changing teaching and learning opportunities of the 21st century require discussion of these vital issues. We include stories of interactions between candidates and teachers and among groups of candidates in mathematics courses, detailing …

Learning To Anticipate In An Online Class: Perspectives Of An Instructor And A Mathematics Specialist Candidate, Kristina C. Anthony, Melody O'Quinn

Journal of Mathematics and Science: Collaborative Explorations

This paper will highlight two perspectives, a course instructor and a mathematics specialist candidate working together in an online course, on the practice of anticipating how a learner will approach a task or assignment. The candidate shares her experiences in developing an understanding of what it means to anticipate student responses and implement mathematical practice in the classroom. She also shares how learning to anticipate has impacted her teaching. The instructor reflects on her experiences (or lack thereof) in anticipating how students would engage in the online environment. From the instructor and the candidate perspectives, learning to anticipate helped to …

Developing Equity-Centered Leadership Knowledge And Skills Via Lesson Study In An Online Mathematics Specialist Program, Courtney K. Baker, Spencer Jamieson, Adrienne Paul, Scarlett Kibler, Alyson Eaglen, Tammy Kraft

Journal of Mathematics and Science: Collaborative Explorations

This paper highlights how coursework within a synchronous online mathematics specialist program enhanced candidates’ leadership knowledge and provided structures that addressed issues of equity and access. A focus on one online assignment grounded in Lesson Study played a pivotal role in developing equity-centered leadership and instructional practices. Program instructors and recent alumni illuminate how designing, implementing, and reflecting on the Lesson Study experience served as a cornerstone for advancing their mathematics instruction in the following ways: (a) as instructors designing an online leadership course, (b) as learners within an online environment, and (c) as educators within their K–8 school settings. …

Mathematics Teacher Leadership Preparation, Mentorship, And Service: Communities Of Practice Through Online Modalities, Courtney K. Baker, Aimee J. Ellington, William Haver

Journal of Mathematics and Science: Collaborative Explorations

This article is a preface to a special issue of the Journal of Mathematics and Science: Collaborative Explorations which features articles that describe (a) online components of mathematics specialist preparation and mentoring programs, (b) the mentoring and support of teachers preparing to serve as mathematics teacher leaders, and (c) the subsequent service of mathematics specialists in leadership roles. This preface describes the context within which the described online activities took place, provides a common glossary of terms that will be used consistently across all the articles, and briefly introduces each of the fourteen papers that constitute the special issue.

Transitioning A Mathematics Specialist Preparation Program Into An Interactive Online Program: Insights From The Developer And Candidate Perspectives, Aimee J. Ellington, Allison Yoder

Journal of Mathematics and Science: Collaborative Explorations

This paper will describe how the Virginia Commonwealth University mathematics specialist preparation program transitioned from a face-to-face format to a fully online format. We will describe the technology and instructional methods that are used for course meetings, activities, and assignments. We will describe the development and implementation of a mathematics activity from instructors designing the activity, participants completing the activity, and instructors providing feedback on the activity. One mathematics activity will be shared that demonstrates the process of the program model that includes independent work, small group work, and in-class discussions. We will describe one participant’s experience as she developed …

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 …

The International Conference On Creative Mathematical Sciences Communication: Online Event (Cmsc'20) And Cmsc'21, Frances Rosamond

Journal of Humanistic Mathematics

You are warmly invited to register now for the 5th International Conference on Creative Mathematical Sciences Communication (CMSC’21) which will be held at Adam Mickiewicz University in Poznań, Poland, 2–6 July, 2021.

The International Conference on Creative Mathematical Sciences Communication (CMSC) is a unique gathering of computer scientists and mathematicians, teachers, musicians, dancers, dramatists, game designers, educators and communicators of all sorts.

Due to the pandemic, the in-person event scheduled for 2020 has been post- poned and a short CMSC Online Event was organized as a “teaser” or trailer in order to feel the spirit of the full 5th CMSC …

A Study Of Problem Posing As A Means To Help Mathematics Teachers Foster Creativity, Deborah Moore-Russo, Amanda A. Simmons, Michael J.D. Tulino

Journal of Humanistic Mathematics

Research suggests that mathematical creativity often results from extended periods of mathematical activity and reflection based on the use of deep and flexible content knowledge [14, 15]. This implies that instruction can influence creativity. However, for teaching to foster creativity in mathematics, there should be purposefully designed instructional tasks. It is doubtful that routine, mechanical exercises would foster creativity. Moreover, mathematical creativity may neither be explicitly promoted, nor fully appreciated, by students when a learning space involves only problem solving, even if the problems are challenging and engaging. For students to get an authentic sense of mathematics and to develop …

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 …