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Full-Text Articles in Education

Understanding Student Perspectives On Higher-Level Mathematics Courses At A Higher Level Institution On The U.S.–Mexico Border, Diego Rivera May 2024

Understanding Student Perspectives On Higher-Level Mathematics Courses At A Higher Level Institution On The U.S.–Mexico Border, Diego Rivera

ANTH 4306/6306 Anthropology of Borders

This project explores students' perspectives on mathematics courses at a higher-level institution along the U.S.–Mexico border. Traditional mathematics instruction is often delivered from an objective standpoint, but this study investigates how students perceive courses like college algebra and calculus when taught using a practical approach that incorporates their cultural background and personal knowledge. The study involves interviews with three students from the University of Texas Rio Grande Valley (UTRGV), majoring in Statistics, Biomedical Science, and Engineering. The paper includes detailed descriptions of the students and their responses, concluding with insights derived from the interviews.


Seven Properties Of Highly Effective Problems, Thomas Ales, Kevin Peterson, Constantine Roussos Jan 2024

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.


Positioning Undergraduate Learning Assistants In Instruction: A Case Study Of The La Role In Active Learning Mathematics Classrooms At The University Of Nebraska-Lincoln, Rachel Funk Aug 2023

Positioning Undergraduate Learning Assistants In Instruction: A Case Study Of The La Role In Active Learning Mathematics Classrooms At The University Of Nebraska-Lincoln, Rachel Funk

Department of Mathematics: Dissertations, Theses, and Student Research

Research suggests learning assistant (LA) programs can be a change lever to support the institutionalization of active learning in postsecondary education. Some research suggests LAs offer unique benefits for STEM courses, independent from other change levers, but more research needs to be done to understand how LAs support active learning classrooms, specifically in mathematics. Research on mathematics instruction and the use of reform resources suggests that the successful implementation of reforms is impacted by perceptions individuals hold about that resource, such as the LA role. Yet, there is little research about the LA role in mathematics, particularly where the instructor …


Developing Better Instructors Using The Principles To Actions Professional Learning Toolkit, Abigail Pyle, Patrick Eggleton May 2023

Developing Better Instructors Using The Principles To Actions Professional Learning Toolkit, Abigail Pyle, Patrick Eggleton

Lux et Fides: A Journal for Undergraduate Christian Scholars

This research report documents how a group of mathematics teacher educators collaborated to use the Principles to Actions (NCTM, 2014) (PtA) Professional Learning Toolkit in their classes, the tools they used to measure development in the future teachers, and the findings from the study. In keeping with other studies, using “effective mathematics teaching practices” as defined by Principles to Actions brought about changes in the beliefs of preservice elementary mathematics teachers toward best practices for teaching mathematics. There is hope that the benefits of seeing those instructional practices used by elementary classroom teachers through the PtA Toolkit videos …


Using Game Theory To Model Tripolar Deterrence And Escalation Dynamics, Grace Farson Mar 2023

Using Game Theory To Model Tripolar Deterrence And Escalation Dynamics, Grace Farson

Honors Theses

The study investigated how game theory can been utilized to model multipolar escalation dynamics between Russia, China, and the United States. In addition, the study focused on analyzing various parameters that affected potential conflict outcomes to further new deterrence thought in a tripolar environment.

A preliminary game theoretic model was created to model and analyze escalation dynamics. The model was built upon framework presented by Zagare and Kilgour in their work ‘Perfect Deterrence’. The model is based on assumptions and rules set prior to game play. The model was then analyzed based upon these assumptions using a form of mathematical …


Approach To Problem Solving And Use Of Intuition By Engineering Technology Students, Meher R. Taleyarkhan, Anne M. Lucietto, Natalie L. F. Hobson, Therese M. Azevedo Mar 2023

Approach To Problem Solving And Use Of Intuition By Engineering Technology Students, Meher R. Taleyarkhan, Anne M. Lucietto, Natalie L. F. Hobson, Therese M. Azevedo

Journal of Global Education and Research

Engineering technology students often forgo a methodical approach of solving or answering questions on assignments or exams in favor of an intuition-based approach, emphasizing educated guessing (Broberg et al., 2008). Faculty observations have noted these student solutions often provide explanations, usually sans calculations, to support answers the students believe to be reasonable when in reality deviated from the correct answer. An extensive study was developed to assess several distinctions between student intuition and use of cognition in problem solving, as related to a generalized student population. The study was comprised of a survey and interview. The survey utilized two instruments, …


Utilizing Markov Chains To Estimate Allele Progression Through Generations, Ronit Gandhi Jan 2023

Utilizing Markov Chains To Estimate Allele Progression Through Generations, Ronit Gandhi

Honors Theses

All populations display patterns in allele frequencies over time. Some alleles cease to exist, while some grow to become the norm. These frequencies can shift or stay constant based on the conditions the population lives in. If in Hardy-Weinberg equilibrium, the allele frequencies stay constant. Most populations, however, have bias from environmental factors, sexual preferences, other organisms, etc. We propose a stochastic Markov chain model to study allele progression across generations. In such a model, the allele frequencies in the next generation depend only on the frequencies in the current one.

We use this model to track a recessive allele …


Mathematical Analysis Of An Sir Disease Model With Non-Constant Transmission Rate, Emma Bollinger, Tayler Valdez, Swarup Ghosh, Sunil Giri Apr 2022

Mathematical Analysis Of An Sir Disease Model With Non-Constant Transmission Rate, Emma Bollinger, Tayler Valdez, Swarup Ghosh, Sunil Giri

Student Research

  • Epidemiology: A branch of medicine that studies causes, transmission, and control methods of diseases at the population level.
  • Mathematical epidemiology deals with creating a model for a disease through the study of incidence and distribution of the disease throughout a population.
  • Here, we have examined the behavior of a measles-like disease[2] that is characterized by a non-constant transmission rate.


Exploration Of Piccirillo's Trick On Low Crossing Number Knots, Gabriel Adams Mar 2022

Exploration Of Piccirillo's Trick On Low Crossing Number Knots, Gabriel Adams

Honors Theses

Piccirillo recently discovered a process that can be applied to an unknotting number one knot to convert it into a different knot called a Piccirillo dual. Piccirillo duals have been shown to have the same n-trace and the same sliceness. However, exploration and knowledge of this process is limited. We were able to generate the Piccirillo duals for several low-crossing number knots. We offer the foundation for and explain how to follow the Piccirillo process and generate Piccirillo duals. This talk assumes little knowledge of knot theory and concisely gives newcomers a clear introduction to get started working with Piccirillo …


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 Jan 2022

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 Jan 2022

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 …


The Effects Of Stem And Non-Stem Mathematics Corequisite Courses On Student Success At Public Institutions In West Virginia, Vanessa S. Keadle Jan 2022

The Effects Of Stem And Non-Stem Mathematics Corequisite Courses On Student Success At Public Institutions In West Virginia, Vanessa S. Keadle

Theses, Dissertations and Capstones

This study explored the differences in student success outcomes between students enrolled in non-STEM and STEM corequisite mathematics courses at 18 postsecondary institutions across five academic years in West Virginia, using de-identified student data. The researcher analyzed this extant data to determine if student characteristics were predictors of success, as defined as passing the mathematics corequisite course, retention to the next semester, and earning a GPA of 2.0 or higher. The researcher also conducted analyses to understand if the differences in those outcomes between STEM and non-STEM courses were significant. This study identified statistically significant gaps in success for students …


Investigating Discussion Forum Impact On Students’ Social Justice Beliefs In Online Undergraduate Mathematics Courses: A Mixed Methods Study, Ashlee Lynn Akin Matney Jan 2022

Investigating Discussion Forum Impact On Students’ Social Justice Beliefs In Online Undergraduate Mathematics Courses: A Mixed Methods Study, Ashlee Lynn Akin Matney

Theses and Dissertations--Education Sciences

While teaching math for social justice and equity has become a heavily researched topic in recent decades with Jo Boaler (2008, 2015, 2016), Rochelle Gutiérrez (2009, 2013), and Eric (Rico) Gutstein (2003, 2006, 2007, 2013) emerging as recent leaders in the charge, the focus has consistently remained on traditional classroom teaching (e.g. Boaler, 2008; Gutiérrez, 2009; Gutstein, 2003). This convergent design mixed methods study investigated the impact of teaching math for social justice in the online learning environment, specifically, the impact of discussion forums on students’ social justice beliefs in fully online undergraduate math courses.

Quantitatively, 56 students completed pre- …


The Effects Of Embedded Orientation On Online Developmental Mathematics Students' Performance In Community College: A Causal-Comparative Study, William Randal Swenson Nov 2021

The Effects Of Embedded Orientation On Online Developmental Mathematics Students' Performance In Community College: A Causal-Comparative Study, William Randal Swenson

Doctoral Dissertations and Projects

Students in developmental mathematics courses exhibit poor pass rates. This problem is exaggerated for traditionally aged online community college learners, who frequently demonstrate few self-regulatory skills. Self-regulated learners are intrinsically motivated, plan for success, monitor their progress, and reflect on their learning. These learners are significantly more likely to pass and eventually graduate. Self-regulatory skills can be taught through direct instruction and reflection over a protracted learning experience. This form of instruction was attempted using an embedded orientation in online developmental mathematics courses at a community college. Embedded orientations provide consistent training, opportunities for socialization, and increased instructor-to-learner interaction within …


Qualitative Analysis Of Corequisite Instruction In A Quantitative Reasoning Course, Zachary Beamer May 2021

Qualitative Analysis Of Corequisite Instruction In A Quantitative Reasoning Course, Zachary Beamer

Inquiry: The Journal of the Virginia Community Colleges

In corequisite models of instruction, marginally prepared students are placed directly into college-level coursework, taught with a paired support course. Initial research suggests that such models yield significant improvements in the number of students passing credit-level mathematics when compared to previous models of prerequisite remediation. The present study employs qualitative methods to investigate methods of instruction at one community colleges to understand how instructors identify and respond to student needs. It concludes with recommendations for practice and highlights advantages of small format corequisite classes taught by the same instructor.


Mindfulness & Mindset: The Winning Combination? The Exploration Of The Unstuck Method® On Developmental Math Students: A Mixed Methods Study, Edite Birnbaum, Edith L. Birnbaum Apr 2021

Mindfulness & Mindset: The Winning Combination? The Exploration Of The Unstuck Method® On Developmental Math Students: A Mixed Methods Study, Edite Birnbaum, Edith L. Birnbaum

Graduate Theses & Dissertations

Many students enter colleges having to take non-credit-bearing courses, and many do not pass these courses due to numerous factors, including anxiety and stress, especially in mathematics. Current literature shows how mindfulness-based interventions (Bamber, & Schneider, 2016; Dvořáková et al., 2017; Hidman, 2013; Miller et al. 2019; Regehr et al., 2013) and a growth mindset (Blackwell et al., 2007; Boaler et al., 2018; May, 2009) have a positive effect on student stress, anxiety, and academic success. This mixed-method study focused on the unSTUCK strategy’s impact, a mindfulness-inspired tool, on foundation math students. The unSTUCK strategy is a mindfulness-inspired program. The …


A Mathematical Model Of Pancreatic Cancer Growth And Response To Treatment, Allison Cruikshank Apr 2021

A Mathematical Model Of Pancreatic Cancer Growth And Response To Treatment, Allison Cruikshank

Honors Theses

Pancreatic cancer is one of the leading causes of death due to cancer in the United States. Analyzing the effects of radiation is extremely valuable in determining when a patient is allowed surgical resection, which is, presently, the only potentially curative treatment for pancreatic cancer. This study examines pancreatic tumor growth and shrinkage to predict tumor response and change of resectability for pancreatic cancer patients undergoing radiation therapy. This is done using ordinary differential equations as a mathematical model. Mathematical models have increasingly been applied to various biological systems/processes to analyze the principles involved. In our project, a population dynamical …


Ladies' Lunch Connects Those Involved In Stem, Lydia Marcus Mar 2021

Ladies' Lunch Connects Those Involved In Stem, Lydia Marcus

The Voice

No abstract provided.


Understanding The Latinx Student Experience In A First-Year, Non-Remedial, Terminal College Math Course: A Convergent Mixed Methods Study, Ross Morgan Jan 2021

Understanding The Latinx Student Experience In A First-Year, Non-Remedial, Terminal College Math Course: A Convergent Mixed Methods Study, Ross Morgan

Electronic Theses and Dissertations

Working with Latinx students, a semester long study was conducted in the Spring of 2021 to better understand student’s perception of Culturally Responsive Teaching Practices (CRTP) at Mountain State University (MSU). The course sections selected are a part of a larger first year, non-remedial, terminal mathematics courses designed to provide students with smaller teacher to student ratios as well as opportunities to earn credit towards graduation. Instructors in two of the sections received special training around CRTP, while instructors in the other two sections did not receive this training. Findings demonstrate that simple adjustments to instructional practices had a statistically …


Vemi Lab 2021, Virtual Environments And Multimodal Interaction Laboratory Jan 2021

Vemi Lab 2021, Virtual Environments And Multimodal Interaction Laboratory

General University of Maine Publications

The Virtual Environments and Multimodal Interaction (VEMI) Lab embodies an inclusive, collaborative, and multi-disciplinary approach to hands-on research and education. By bringing together students and faculty from more than a dozen majors and disciplines, VEMI is uniquely positioned to advance computing and STEM initiatives both here at the university as well as in broader communities throughout Maine and nationwide.


A Phenomenological Study Of The Lived Experiences Of African American Women In Undergraduate Stem Degree Programs, Vernon H. Smith Jan 2021

A Phenomenological Study Of The Lived Experiences Of African American Women In Undergraduate Stem Degree Programs, Vernon H. Smith

Theses and Dissertations

This applied dissertation was designed to provide a better understanding of the lived experiences of African American women in STEM undergraduate degree programs at a 4-year degree granting institution in the southernmost part of central Virginia. The central problem is that there is disparity between the number of African American women with STEM degrees and that of other races in the STEM job market. The existing literature has gaps in the research of African American women’s perception of undergraduate STEM programs. Further, the researcher posits there is a lack of consideration for diversity that is detrimental to the United States; …


Finding Community And Overcoming Barriers: Experiences Of Queer And Transgender Postsecondary Students In Mathematics And Other Stem Fields, Elizabeth Kersey, Matthew Voigt Oct 2020

Finding Community And Overcoming Barriers: Experiences Of Queer And Transgender Postsecondary Students In Mathematics And Other Stem Fields, Elizabeth Kersey, Matthew Voigt

Publications

Although there is little research on the experiences of queer and/or transgender postsecondary students in science, technology, engineering, and mathematics (STEM) fields, we can infer from current literature that these subjects may be less welcoming than the humanities and social sciences. We conducted two studies to investigate this possibility: (1) a narrative inquiry study with postsecondary transgender students and (2) a grounded theory narrative study with undergraduate queer students. Transgender students who had transitioned indicated that they were subjected to lower expectations when presenting as female, but transgender women experienced this change as positive, since their treatment by others was …


Tactivities: Fostering Creativity Through Tactile Learning Activities, Angie Hodge-Zickerman, Eric Stade, Cindy S. York, Janice Rech Jul 2020

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 …


Learning To Fail? Student Experiences In Remedial Mathematics In Community Colleges, Margaret P. Fay Jun 2020

Learning To Fail? Student Experiences In Remedial Mathematics In Community Colleges, Margaret P. Fay

Dissertations, Theses, and Capstone Projects

Referral to remedial coursework in mathematics is a significant barrier to degree attainment for community college students, which in turn has serious consequences for their employment and earning prospects. Students are placed into remediation when they are deemed unprepared to engage in college-level coursework, most often based on a score on a placement test. Nationally, 59% of community college students are placed into remedial math courses. Of these, only 49% complete remediation and gain access to college-level coursework. Because a college-level math course is often a degree requirement, many students who fail to complete remedial math courses are forced to …


College Student Changing Attitudes And Beliefs About The Nature Of And Teaching Of Mathematics And Science, Stephen R. Skinner May 2020

College Student Changing Attitudes And Beliefs About The Nature Of And Teaching Of Mathematics And Science, Stephen R. Skinner

Graduate Theses and Dissertations

With an estimated 17.3 million STEM jobs in the US, there exists a need for a STEMready workforce that is science literate with positive attitudes and beliefs toward the learning and teaching of mathematics and science (Graf, Fry, & Funk, 2018). However, the US has seen a steady decline in the number of high school students interested in STEM-related fields with only 16% of interested students with proven proficiency in mathematics and science and are ready to enroll in college STEM programs (ACT, 2017; Osborne & Dillon, 2008; Stake & Mares, 2001). With the decline in student interest, the US …


College Of Liberal Arts And Sciences_Mt 101 & Wgs 101_Covid-19 Response, Kevin Roberge Apr 2020

College Of Liberal Arts And Sciences_Mt 101 & Wgs 101_Covid-19 Response, Kevin Roberge

College of Liberal Arts and Sciences

Email from Kevin Roberge, Adjunct Mathematics Faculty, University of Maine to the Provost Office regarding how he had incorporated the COVID-19 pandemic into his courses MAT 101 and WGS 101.


Mat 116 Introduction To Calculus - Course Material, Ayesha Maliwal Bundy Apr 2020

Mat 116 Introduction To Calculus - Course Material, Ayesha Maliwal Bundy

Teaching, Learning & Research Documents

Updated addendum to MAT 116 (Introduction to Calculus) syllabus, updated course timeline (both before and after the storms since many students lost power) and a contingency plan for their course team.


Mat 127 (Calculus Ii) - Course Syllabus, David Bradley Mar 2020

Mat 127 (Calculus Ii) - Course Syllabus, David Bradley

Teaching, Learning & Research Documents

Updated syllabus of MAT 127 (Calculus II) class. The update reflects the change in course format necessitated by the mandated transition to off-campus online instruction.


Mat 426 Real Analysis Ii - Course Syllabus, David Bradley Mar 2020

Mat 426 Real Analysis Ii - Course Syllabus, David Bradley

Teaching, Learning & Research Documents

Updated syllabus of MAT 426 (Introduction to Real Analysis II) class. The update reflects the change in course format necessitated by the mandated transition to off-campus online instruction.


Math 3100: Communication And Proof - Assessment, Shawn Mcmurran, Min-Lin Lo, Corrine Johnson, Laura Wallace Jan 2020

Math 3100: Communication And Proof - Assessment, Shawn Mcmurran, Min-Lin Lo, Corrine Johnson, Laura Wallace

Q2S Enhancing Pedagogy

As a group, we hope through this FLC project to develop a course that promotes departmental SLOs, as well as University learning outcomes for a writing-intensive course. We focused on our new foundational course (MATH 3100 Mathematical Thinking: Communication and Proof). This course, designated as a writing-intensive course, introduces students to disciplinary ways of thinking and communicating in mathematics with emphasis on the construction of valid mathematical arguments, critiques of arguments, and structure of professional mathematical writing including typesetting. We would like to develop a library of useful materials that faculty members can adapt in their classrooms in order to …