Education Commons^™

An Investigation Of Active Learning On Students' Understanding Of Infinite Series Convergence, Zachary Coverstone

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Many students encounter infinite series for the first time as part of their single-variable calculus coursework. As part of this initial engagement with infinite series convergence, students grapple with infinity in ways that they haven't had to before. For instance, the fact that summing infinitely many terms sometimes yields a finite value, but at other times diverges, poses significant conceptual challenges.

I recently designed and implemented a curriculum for second-semester calculus centered in doing problems to help students develop ideas surrounding infinite series convergence, rather than using direct instruction. The unit design was patterned after a workshop at the Park …

Mathematics Education As Dystopia: A Future Beyond, Peter Appelbaum, Charoula Stathopoulou, Constantinos Xenofontos

Journal of Humanistic Mathematics

We argue that scholars and practitioners of mathematics education need to find new directions through recognition of its dystopic characteristics, and embrace these characteristics as both the source of challenges and method of response. This contrasts with the generally utopic approach of most scholarship in the field. We offer critical ethnomathematics education as a model, since it has its own origins in lingering dystopic legacies. A perpetual hopelessness and disempowerment is one implicit curriculum of contemporary mathematics education, where the mathematics one learns might help to describe things, yet hardly assists in transforming the reification of power and agency in …

Collaborative Learning With A Geometry Video Game: The Role Of Elaboration And Game Design In Motivation And Learning, Ethlyn Saltzman

Dissertations, Theses, and Capstone Projects

The study examined the effects of a new game mechanic on collaborative learning and mathematical discourse when playing a digital geometry puzzle game. For this study, two new versions of the game “Noobs vs. Leets” were developed. Both versions of the game teach the concepts of complementary and supplementary angles and the angle sum theorem of triangles. It was hypothesized that the version of the game that included a game mechanic that allow players to manipulate the angles, thus creating a more open-ended task, would be more intrinsically motivating, promote elaboration of the geometric concepts, and lead to greater learning …

Hearing Silence: Understanding The Complexities Of Silence In Democratic Classrooms And Our Responsibility As Teachers And Teacher Educators. A Response To "Creating A Democratic Mathematics Classroom: The Interplay Of The Rights And Responsibilities Of The Learner.", Kersti Tyson, Allison Hintz, Andrea English, Diana Murdoch

Democracy and Education

This response to Priya Prasad’s and Crystal Kalinec-Craig’s article on the interplay of the Rights and Responsibilities of the Learner aims to engage with and add on to the authors’ exploration of learners overexercising or opting out of their rights. While grappling with these challenges alongside the authors, our curiosity deepened about a significant and understudied facet of democratic classrooms: silence. Through this response, we consider the multifaceted dimension of silence and how a focus on silence may help us more fully understand the tension between learners’ rights and responsibilities to self, each other, and the collective. Specifically, we engage …

Pre-Service Elementary School Teachers’ Perceptions Of Themselves As Learners Of Mathematics And Science, Diana L. Moss, Rachel Wilson, Danielle Divis

Journal on Empowering Teaching Excellence

Access the online Pressbooks version of this article here.

This study investigated how prospective elementary teachers view themselves as learners of mathematics and science during their last year in a teacher preparation program at an American university. Using drawing and reflections as the method for collecting data, prospective teachers were prompted to draw themselves and reflect on learning mathematics and draw themselves and reflect on learning science prior to and after their mathematics and science methods courses. Drawings (n = 147) were coded according to the presence or absence of several themes including physical objects, teachers, students, and environment. …

The Integration Of Computational Thinking In Mathematics Education: The Current State Of Practices In School, Outreach, And Public Educational Settings, Hatice Beyza Sezer

Electronic Thesis and Dissertation Repository

This study investigates the integration of computational thinking (CT) in mathematics education by examining current CT practices in school, community outreach, and public educational settings to seek insight into further affordances of CT. A qualitative content analysis through a mix of inductive and deductive approaches is used to analyze online CT resources and computational artifacts. I interpreted the data through Kafai et al.’s (2020) framings of CT and a combination of constructionism, social constructivism, and critical literacy theories of learning. This study revealed that cognitive framing of CT (acquisition) receives greater attention compared to situated framing (participation), whereas the affordances …

The Impact Of Personal And Service-Related Factors On The Perceived Academic Success Among College Students, Ronnie Davis, Geraldine Doucet, Terayana Lamb, Sonya Sneed, David Fletcher

The Journal of the Research Association of Minority Professors

In recent years, student completion of the first year and second-year college curriculum has become a significant barrier to student success and retention especially at Historically Black Colleges and Universities. Despite low pass and retention rates, many degree programs in the U.S. require at least one college-level mathematics course, and the failure in this math course has contributed disproportionately to the failure to complete the first- and second-year curriculum.

The purpose of this study was to examine the predictability of the relationship between selected personal, academic, and service-related factors and the perceived academic success in mathematics among college students. Specifically, …

Teaching Mathematics With Technology: Tpack And Effective Teaching Practices, Christopher R. Rakes, Michele L. Stites, Robert N. Ronau, Sarah B. Bush, Molly H. Fisher, Farshid Safi, Siddhi Desai, Ashley Schmidt, Janet B. Andreasen, Jon Saderholm, Lisa Amick, Margaret J. Mohr-Schroeder, Julian Viera

Science, Technology, Engineering, and Mathematics (STEM) Education Faculty Publications

This paper examines how 17 secondary mathematics teacher candidates (TCs) in four university teacher preparation programs implemented technology in their classrooms to teach for conceptual understanding in online, hybrid, and face to face classes during COVID-19. Using the Professional Development: Research, Implementation, and Evaluation (PrimeD) framework, TCs, classroom mentor teachers, field experience supervisors, and university faculty formed a Networked Improvement Community (NIC) to discuss a commonly agreed upon problem of practice and a change idea to implement in the classroom. Through Plan-Do-Study-Act cycles, participants documented their improvement efforts and refinements to the change idea and then reported back to the …

Middle School Students Generating Mathematical Problems From A Real-Life Situation, David Coffland, Ying Xie

Journal of Humanistic Mathematics

In this study, we examined the effect of different presentation formats of a realistic situation on students’ mathematical problem-posing behavior. We divided thirty-six middle school students into two groups, gave them a pretest, and then showed them a realistic, problem-posing situation in Artifact or Video format. We used Silver’s core dimensions of creativity, namely fluency, flexibility, and originality, to measure participants’ problem-posing activity. The results for the fluency measures showed that the Artifact group wrote more questions than the Video group but the same number of mathematics problems. The Video group posed problems in more mathematical domains than the Artifact …

Learning Mathematics While Black In Rural Appalachia: Black Students' Counterstories And Freedom Dreams About Mathematics Education, Sean P. Freeland

Graduate Theses, Dissertations, and Problem Reports

This dissertation aims to illuminate and uncover the experiences of Black students’ learning mathematics in rural Appalachia and specifically West Virginia. The focal theory for this study is Critical Race Theory (CRT) which centers the experience of Black students and their voices. The intersection of race, mathematics education, and the context of rural Appalachia contribute to the analysis of these experiences in specific ways. Participants for this study included six Black high school students from various communities throughout West Virginia. Through interviews and mathematical autobiographies, these students shared their experiences learning mathematics across their schooling experiences and also considering their …