Teacher Education and Professional Development Commons^™

Techniques For Inclusive College Mathematics Classrooms, Christopher Anderson Davis, Josh Hiller, Anil Venkatesh

Journal of Mathematics and Science: Collaborative Explorations

Creating a welcoming and inclusive mathematics classroom is an important responsibility for all college mathematics faculty. But where do we begin? In this paper we present several techniques based on White’s (2024) building inclusive classrooms strategies framework, which the authors have found to be successful in making their own classrooms more inclusive. The techniques include the inclusion of contemporary diverse voices, exploring the history of applications of mathematical concepts, elevating the diverse intellectual history of mathematics, bringing diverse guest speakers into the classroom, and mentoring students as they engage in doing research. For each strategy we provide narrative comments based …

Exploring Recruitment And Retention Of Mathematics Teachers In Southwest And South-Central Virginia, Anthony Dove

Journal of Mathematics and Science: Collaborative Explorations

This study examines the recruitment and retention of secondary mathematics teachers in rural southwest and south-central Virginia public schools from the perspectives of school principals. Guided by three research questions focused on retention, recruitment, and opportunities for improvement, the study employed a constant comparative analysis of semi-structured interviews conducted with principals from 10 rural middle and high schools. Findings indicate that many schools have historically benefited from long-term teacher retention reinforced by strong community ties and supportive school environments. However, anticipated retirements, salary competition within the region, and increasing challenges in recruitment are beginning to place strains on schools. Principals …

Full Issue

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

Collaborative Leadership For Research Investigating Stem Teacher Preparation Across Many Institutions, Dana P. Franz, Keith Hubbard, Devon Brenner

Journal of Mathematics and Science: Collaborative Explorations

This paper describes the creation of a collaborative research team investigating the impacts of education preparation on the recruitment and retention of science and mathematics teacher candidates in rural settings. Our collaborative research includes a core leadership team across 3 institutions and with collaboration across 14 total universities. We discuss the process from the inception through year two of this program, including the structure of leadership, communication techniques with the large group, and efforts to translate this research into scalable action. Using a framework for transdisciplinary research (Hall et al., 2012), we describe the processes and challenges that we encountered …

Full Issue

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

Two Decades Of Supporting Excellence In Stem Through Programs That Work: A History Of High-Quality Stem Programming In The Commonwealth Of Virginia, Bill Haver, Deborah Neely-Fisher

Journal of Mathematics and Science: Collaborative Explorations

The Virginia Mathematics and Science Coalition annually recognizes effective science, technology, engineering, and mathematics (STEM) programs. The leaders of these Programs That Work receive recognition and others gain ideas to incorporate into their STEM programs. Programs That Work was initiated in March 2000 as a part of a statewide conference designed to better understand effective strategies to increase the success of women, minorities and members of other groups who had been underrepresented in STEM. Programs That Work has since expanded to include effective STEM programming for all students and teachers at all levels by recognizing school systems, colleges and universities …

Seven Properties Of Highly Effective Problems, Thomas Ales, Kevin Peterson, Constantine Roussos

Journal of Mathematics and Science: Collaborative Explorations

In an effort to provide more critical thinking opportunities in their courses, instructors are embracing the power of problem- and project-based learning (PBL). In this paper we address the importance of problem quality when utilizing PBL. We list seven important properties that a high-quality problem should have. We conclude with an example of a problem that possesses all seven properties.

Introducing Flexible Assessment Into A Computer Networks Course: A Case Study, Joe Meehean

Journal of Mathematics and Science: Collaborative Explorations

With overall positive results and limited drawbacks, I have adapted modern pedagogical techniques to address a common difficulty encountered when teaching a computer networks course. Due to the tiered nature of the skills taught in the course, students often fail unnecessarily. Using mastery learning, competency-based education, and specifications grading as a foundation, I have developed a course that allows students with varied skills and abilities to pass. The heart of this approach is the flexible assessment of programming assignments which eliminates due dates and allows students to have their work graded and regraded without penalty. Flexible assessment also defines an …

Full Issue

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

A Tale Of Four Departments: Interdisciplinary Faculty Learning Communities Informing Mathematics Education, Bryan D. Poole, Caroline Maher-Boulis, John Hearn, Jason Robinson, Patricia Mcclung, Amanda Jones

Journal of Mathematics and Science: Collaborative Explorations

As a result of the Curriculum Foundations Project and the SUMMIT-P consortium, faculty from four different departments at Lee University created a Faculty Learning Community (FLC) with the goal of improving students’ attitudes toward undergraduate mathematics courses, including students’ perception of the utility of mathematics in their lives and the feelings of anxiety that they experience in these courses. The interdisciplinary collaborations resulted in introducing novel activities and manipulatives in various mathematics courses (Introduction to Statistics, Concepts of Mathematics I and II, and Algebra for Calculus). This paper first describes the efforts of creating the inter-departmental FLC. Second, it discusses …

Using An Interdisciplinary Case Study To Incorporate Quantitative Reasoning In Social Work, Nursing, And Mathematics, Elizabeth Post, Mischelle Stone, Lauren Cavner Williams, Mary Beaudry

Journal of Mathematics and Science: Collaborative Explorations

Through the national consortium, SUMMIT-P, Ferris State University faculty collaborated to develop and scaffold mathematics and quantitative reasoning across disciplines to reduce math anxiety. Participants in this collaborative group included faculty from social work, nursing, and mathematics who developed a case study on a Hurricane Katrina scenario that necessitated calculating the need for emergency shelter, water, food, and medicine, and as a response to the potential for a Malaria outbreak. This particular case study allowed faculty to use the lens of social justice to teach mathematical concepts and provided an avenue for nursing and social work students to engage in …

Just In Time Mathematics Review For Accounting Students, Anneke Bart, Michael May S.J., Debbie Pike

Journal of Mathematics and Science: Collaborative Explorations

This paper describes the Just-in-Time Review developed for an undergraduate accounting course. The review materials cover five topics in algebra. Students take an online assessment, and online materials are made available to help students catch up in those areas where some review is recommended. This paper is a case study of the development and implementation of the Just-in-Time Review for an accounting course at Saint Louis University.

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 …

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 …

Leveraging Interdisciplinary Expertise In Developing An Alternative Mathematics Pathway, Beverly Wood, Debra T. Bourdeau

Journal of Mathematics and Science: Collaborative Explorations

How many instructors does it take for amazing course design? Or perhaps we should begin with “A mathematician, humanist, communication expert and statistician walk into a bar.” This unlikely team has co-developed a pair of courses, Learning to Reason I: Art and Quotient and Learning to Reason II: Commerce and Flux, that deeply investigate quantitative reasoning from multiple perspectives. Blending elements of rhetoric, logic, and history with mathematical computation, representation, and application breaks through the perceived barriers between the unyielding, obstinate world of mathematics and the ambiguous, equivocal world of the humanities. Developing the courses as an interdisciplinary team of …

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.

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. …

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 …

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 …

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. …

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 …

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.

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 …

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. …

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 …

Connected At A Distance: Experiences And Efforts Within A Synchronous, Online Mathematics Specialist Program, Laura E. Bitto, Pamela E. Johnson, Beth Terry

Journal of Mathematics and Science: Collaborative Explorations

Online learning offers flexibility and convenience to students regardless of their proximity to a traditional campus. However, online programs can also feel isolating. Beth, a mathematics specialist candidate, completed a graduate program while living 7000 miles and seven time zones away from her instructor and peers. Through intentional planning by instructors, Beth found community by making personal connections, celebrating life experiences, and sharing a passion for mathematics education with her peers. Furthermore, Beth felt empowered to take academic risks and expose professional vulnerabilities in the learning community. The instructors within the program valued learning as a social construct and therefore …