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Science and Mathematics Education

Portland State University

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Full-Text Articles in Education

Instructors At A Crossroad: Perceptions Of Collaboration And Support Intersect With Intentions To Implement A Cure, Justin Berl Sep 2023

Instructors At A Crossroad: Perceptions Of Collaboration And Support Intersect With Intentions To Implement A Cure, Justin Berl

Dissertations and Theses

An ongoing crisis of student drop-off from undergraduate science, technology, engineering and mathematics (STEM) education has led to a sustained call over the last 15+ years for the increased implementation of updated practices in undergraduate STEM education. Though over the past few decades many researchers have developed and analyzed the efficacy of various evidence-based teaching practices (EBTPs) designed to improve the state of undergraduate STEM education throughout the country, the rate at which these EBTPs are implemented in undergraduate STEM classrooms remains low.

In order to better understand the specific factors that affect individual instructors' efforts to implement EBTPs, we …


In Their Words: Prospective Teachers' Experiences As A Context For Investigating Their Views Of Authority In A Mathematics Classroom, Brenda Lynn Rosencrans Jul 2023

In Their Words: Prospective Teachers' Experiences As A Context For Investigating Their Views Of Authority In A Mathematics Classroom, Brenda Lynn Rosencrans

Dissertations and Theses

Mathematics teacher educators enact inquiry-based preparatory courses with the underlying expectation that their students (prospective teachers) will take ownership (authority) of their mathematical learning through sharing their ideas and collaboratively discussing the reasonableness of their shared ideas. Yet, prospective teacher' expectations are often not yet in alignment with those of mathematics teacher educators, instead they enter these courses expecting their instructors to provide clear examples and directions for how to solve mathematics problems. This project investigates this dynamic through an authority lens, seeking to understand and characterize different views of authority prospective teachers hold and the impact these views have …


The Developmental Experiences Of Exemplary Statistics Teachers, Douglas Whitaker Jun 2023

The Developmental Experiences Of Exemplary Statistics Teachers, Douglas Whitaker

Northwest Journal of Teacher Education

There has been a trend of increased statistical expectations for students and calls for increased statistical preparation for their teachers in recent years, but preparation has not yet reached recommended levels. A similar preparation gap existed at the inception of the Advanced Placement Statistics program, and this study examines a group of statistics teachers identified as exemplary by experts in the field to determine what challenges they faced and how they overcame them. Semi-structured interviews using a Communities of Practice framework (Wenger, 1998) were conducted. The challenges and responses to those challenges are identified, and these have implications for supporting …


Identifying Advantages To Teaching Linear Regression In A Modeling And Simulation Introductory Statistics Curriculum, Kit Harris Clement Jun 2023

Identifying Advantages To Teaching Linear Regression In A Modeling And Simulation Introductory Statistics Curriculum, Kit Harris Clement

Dissertations and Theses

Statistical association is a key facet of statistical literacy: claims based on relationships between variables or ideas rooted in data are found everywhere in media and discourse. A key development in introductory statistics curricula is the use of simulation-based inference, which has shown positive outcomes for students, especially in regards to statistical literacy and conceptual understanding. In this dissertation project, I investigate students from the Change Agents for the Teaching and Learning of STatistics (CATALST) curriculum in activities I designed for learning statistical association and linear regression. First, I analyzed the informal line fitting strategies of CATALST students. Findings suggest …


Does Instructional Autonomy Matter? Exploring Job Satisfaction For Math And Non-Math Teachers In Low, Middle, And High Ses Schools, Hannah Sean Ellefritz Aug 2022

Does Instructional Autonomy Matter? Exploring Job Satisfaction For Math And Non-Math Teachers In Low, Middle, And High Ses Schools, Hannah Sean Ellefritz

Dissertations and Theses

Throughout the 2000s, standards-based education policies decreased the autonomy of public schools across the U.S., deprofessionalizing educators and limiting their participation in the development of curriculum and instructional policy. Many education scholars argue that, rather than professionals with specialized skills and knowledge, standards-based reforms position teachers as technicians, accountable for measurable output in accordance with externally imposed standards. This literature suggests that such education policies may have implications for teachers’ job satisfaction, especially those working in schools or subject fields that are particularly susceptible to standardized curriculum and accountability procedures. Using nationally representative data from the Teaching and Learning International …


The Process Of Establishing A Blooming Chemistry Tool For Use In Undergraduate Chemistry Education And Research, Emryse Geye Jul 2022

The Process Of Establishing A Blooming Chemistry Tool For Use In Undergraduate Chemistry Education And Research, Emryse Geye

Dissertations and Theses

While it is still common in college chemistry to assess student learning and skill with summative assessments, the CER community does not currently have a simple tool to determine and communicate whether an assessment is actually aligned with the outcomes of interest. In particular, as so-called evidence-based teaching practices and active learning strategies gain a foothold in college chemistry classrooms, the ability to communicate whether those (often labor-, cost-, and time-intensive) interventions are not only aligned with course outcomes, but also provide measurable benefit to students becomes more imperative. While college chemistry has made some strides in the area of …


Analyzing Classroom Discourse To Investigate Structuring Equitable Mathematical Talk In Small Groups And Whole-Class Discussions, Brittney Marie Ellis Jul 2022

Analyzing Classroom Discourse To Investigate Structuring Equitable Mathematical Talk In Small Groups And Whole-Class Discussions, Brittney Marie Ellis

Dissertations and Theses

Shifting classroom discourse to be more student-centered has become an integral part of reform-oriented instructional practices. At the same time, shifting discourse can open up opportunities for inequity to occur in the immediate learning environment as both the quantity and quality of mathematical talk changes. In this project, I examined complexities involved in such settings by using discourse analysis methods to explore the positioning of students relative to mathematics content and each other's mathematical ideas. First, I analyzed the ways teachers' discourse during group work enactments related to established equitable teaching practices. Findings from this study suggest communicating group tasks …


Addressing The Body Mass Index Using A Teaching Math For Social Justice Lens, Riley J. Wolfe Jun 2022

Addressing The Body Mass Index Using A Teaching Math For Social Justice Lens, Riley J. Wolfe

University Honors Theses

Teaching Math for Social Justice (TMSJ) lessons are designed to explain math in social justice contexts. TMSJ leads to better engagement with math content by providing relevant contexts. Because the field is so new, there are math topics not yet covered and areas of social justice that also have gone unaddressed by TMSJ. One of these topics is the problem of weight discrimination. This paper will explain how Body Mass Index (BMI) can be used as a jumping off point to introduce the issue of weight discrimination. Then, a detailed lesson plan is provided which connects the historical origin of …


Investigating Active Learning Through The Lens Of Student Engagement, Nicole Naibert May 2022

Investigating Active Learning Through The Lens Of Student Engagement, Nicole Naibert

Dissertations and Theses

Incorporating active learning into a course has been generally found to lead to improved student learning outcomes; however, not all students benefit from these environments to the same extent. Although active learning environments provide the opportunity for students to interact and engage with the material, whether a student decides to do so is completely up to them. Therefore, the goal of this dissertation was to begin exploring active learning environments through the lens of student engagement and relevant associated variables (i.e., self-efficacy and student perceptions). This was completed through three separate but related projects.

Project I focused on investigating flipped …


Equity & Social Justice In Mathematics Education With Eva Thanheiser, Eva Thanheiser Apr 2022

Equity & Social Justice In Mathematics Education With Eva Thanheiser, Eva Thanheiser

PDXPLORES Podcast

Professor Eva Thanheiser's research lies at the intersections of mathematics education, social justice, and critical theory. In her work, she collaborates with teachers, students, parents, and community members to develop and implement anti-bias mathematics education that allows students to connect mathematics to their worlds. In this episode of PDXPLORES, Thanheiser discusses this work and its impact on mathematics education.

Click on the "Download" button to access the audio transcript.


“A Tale Of Two Classrooms”: Designing Culturally-Relevant Hip Hop Curriculum To Support Stem Identity Of Underrepresented Students, Jessica Mcclain, Rebecca Colina Neri Ph.D Mar 2022

“A Tale Of Two Classrooms”: Designing Culturally-Relevant Hip Hop Curriculum To Support Stem Identity Of Underrepresented Students, Jessica Mcclain, Rebecca Colina Neri Ph.D

Northwest Journal of Teacher Education

This article explores how educators can contribute to the development of STEM identity in historically marginalized groups by using critical frameworks and pedagogies like Funds of Knowledge and Critical Hip-Hop Pedagogy as a curricular tool to counter traditional teaching practices. The authors amplify the importance of cultural spaces that support educators in examining aspects of power, access, and cultural awareness in STEM classrooms to increase student participation and acquisition of STEM knowledge. This article provides a guided activity named “A tale of two citiez” as an example of how educators can act towards (re)conceptualizing and (re)imagining STEM classrooms.


A Multiplicity Of Journeys: Stem Education Ecosystems As Sources Of Cultural Sustenance, Christopher Louis Beauprey Cardiel Aug 2021

A Multiplicity Of Journeys: Stem Education Ecosystems As Sources Of Cultural Sustenance, Christopher Louis Beauprey Cardiel

Dissertations and Theses

In this document, I outline the context and significance of a research problem faced by both formal and informal science, technology, engineering, and math (STEM) educators in the Portland metro area--specifically, the need for greater understanding of the individual and cultural motivations, needs, and agentic behavior of learners, as well as the ways in which these factors intersect with learners' experiences of cultural sustenance within their holistic STEM education ecosystems. I base the significance of this problem on the racial and gender inequities evident in the STEM fields and the social and cultural dynamics that discourage members of these groups …


Experiences Of Undergraduates And Graduate Teaching Assistants In Biology Course-Based Undergraduate Research Experiences, Emma Crystal Goodwin Aug 2021

Experiences Of Undergraduates And Graduate Teaching Assistants In Biology Course-Based Undergraduate Research Experiences, Emma Crystal Goodwin

Dissertations and Theses

Evidence of positive student outcomes from course-based undergraduate research experiences (CUREs) has sparked implementation of CUREs in introductory biology laboratory courses, as one approach to boosting student engagement in research. In a CURE, students collaborate with other students and instructors on a research project, where they conduct novel scientific research that has relevance to a local or scientific community. However, previous research rarely considers that graduate teaching assistants (GTAs) often teach introductory labs. The classroom role of GTAs expands in a CURE--they no longer need to simply teach a lab class, but also to serve as research mentors. GTAs, who …


Problematizing Perceptions Of Stem Potential: Differences By Cognitive Disability Status In High School And Postsecondary Educational Outcomes, Dara Shifrer, Daniel Mackin Freeman Mar 2021

Problematizing Perceptions Of Stem Potential: Differences By Cognitive Disability Status In High School And Postsecondary Educational Outcomes, Dara Shifrer, Daniel Mackin Freeman

Sociology Faculty Publications and Presentations

The STEM (science, technology, engineering, and mathematics) potential of youth with cognitive disabilities is often dismissed through problematic perceptions of STEM ability as natural and of youth with cognitive disabilities as unable. National data on more than 15,000 adolescents from the High School Longitudinal Study of 2009 first suggest that, among youth with disabilities, youth with medicated attention-deficit/hyperactivity disorder (ADHD) have the highest levels of STEM achievement, and youth with learning or intellectual disabilities typically have the lowest. Undergraduates with medicated ADHD or autism appear to be more likely to major in STEM than youth without cognitive disabilities, and youth …


From Ideas To Items: A Primer On The Development Of Ordered Multiple-Choice Items For Investigating The Progression Of Learning In Higher Education Stem, Katherine Lazenby, Morgan E. Balabanoff, Nicole M. Becker, Alena Moon, Jack Barbera Jan 2021

From Ideas To Items: A Primer On The Development Of Ordered Multiple-Choice Items For Investigating The Progression Of Learning In Higher Education Stem, Katherine Lazenby, Morgan E. Balabanoff, Nicole M. Becker, Alena Moon, Jack Barbera

Chemistry Faculty Publications and Presentations

Identifying effective methods of assessment and developing robust assessments are key areas of research in chemistry education. This research is needed to evaluate instructional innovations and curricular reform. In this primer, we advocate for the use of a type of assessment, ordered multiple-choice (OMC), across postsecondary chemistry. OMC assessments are grounded in a developmental perspective, which treats students’ knowledge as developing in sophistication over time. This is in contrast to a dichotomous perspective, which asserts that students’ knowledge is either aligned or misaligned with scientifically accepted knowledge. By drawing on a developmental perspective, OMC assessments offer insights into student understanding …


Is Kinesiology A Bridge To Stem Engagement? Sport Science Labs In High School, Judy A. Schultz, Robert W. Danielson, Robert D. Catena, Christopher P. Connolly, Kasee Hildenbrand Dec 2020

Is Kinesiology A Bridge To Stem Engagement? Sport Science Labs In High School, Judy A. Schultz, Robert W. Danielson, Robert D. Catena, Christopher P. Connolly, Kasee Hildenbrand

Northwest Journal of Teacher Education

Improving STEM education in schools is important to prepare students for the increasing number of STEM related jobs. As a STEM discipline, kinesiology, which includes the study of sport, exercise, movement and well-being, may be an effective link between science concepts and students’ everyday lives and thus may stimulate science engagement. Our university’s kinesiology programs developed a set of sport related kinesiology labs which were presented by faculty and students during one semester in local high school Freshmen and Senior science classes. Survey data included information about STEM engagement, scientific inquiry, and knowledge of kinesiology as a STEM field. Findings …


Clarity On Cronbach’S Alpha Use, Jack Barbera, Nicole Naibert, Regis Komperda, Thomas C. Pentecost Dec 2020

Clarity On Cronbach’S Alpha Use, Jack Barbera, Nicole Naibert, Regis Komperda, Thomas C. Pentecost

Chemistry Faculty Publications and Presentations

The Cronbach’s alpha (α) statistic is regularly reported in science education studies. However, recent reviews have noted that it is not well-understood. Therefore, this commentary provides additional clarity regarding the language used when describing and interpreting alpha and other estimates of reliability.


Relativity Lite: A Pictorial Translation Of Einstein’S Theories Of Motion And Gravity, Jack C. Straton Aug 2020

Relativity Lite: A Pictorial Translation Of Einstein’S Theories Of Motion And Gravity, Jack C. Straton

PDXOpen: Open Educational Resources

Relativity Lite is designed for the General Astronomy sequence (PH 361-2U, SCI 315-6U) whose primary book glosses over Special Relativity and General Relativity while trying to explain the Cosmology that is based on those subjects. Relativity Lite translates the mathematical equations conventional relativity texts rely upon into pictures that are readily understood and contain within them the mathematical essentials. This book provides the comprehensive coverage needed to understand, in sufficient depth, these three linked areas of our reality.

Readers seeking this knowledge on their own, and those in other courses for nonscientists, may also find it helpful.

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Multicourse Comparative Study Of The Core Aspects For Flipped Learning: Investigating In-Class Structure And Student Use Of Video Resources, Nicole Naibert, Emryse Geye, Michael M. Phillips, Jack Barbera Aug 2020

Multicourse Comparative Study Of The Core Aspects For Flipped Learning: Investigating In-Class Structure And Student Use Of Video Resources, Nicole Naibert, Emryse Geye, Michael M. Phillips, Jack Barbera

Chemistry Faculty Publications and Presentations

Since 2013, the number of publications on flipped learning within chemistry have steadily increased. However, most of these studies focus on flipped course reforms within individual institutions, while the outcomes of any learning environment are dependent on how the environment is structured and the degree to which students interact with its elements. In this study, we apply a coordinated set of assessment practices to investigate similarities among flipped chemistry courses at five institutions in the United States. All courses in the study followed the two basic tenets of flipped learning: (1) foundational information was delivered through preclass materials (PCMs), and …


Lectures On Mathematical Computing With Python, Jay Gopalakrishnan Jul 2020

Lectures On Mathematical Computing With Python, Jay Gopalakrishnan

PDXOpen: Open Educational Resources

This open resource is a collection of class activities for use in undergraduate courses aimed at teaching mathematical computing, and computational thinking in general, using the python programming language. It was developed for a second-year course (MTH 271) revamped for a new undergraduate program in data science at Portland State University. The activities are designed to guide students' use of python modules effectively for scientific computation, data analysis, and visualization.

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Guided Reinvention As A Context For Investigating Students' Thinking About Mathematical Language And For Supporting Students In Gaining Fluency, Kristen Vroom Jul 2020

Guided Reinvention As A Context For Investigating Students' Thinking About Mathematical Language And For Supporting Students In Gaining Fluency, Kristen Vroom

Dissertations and Theses

Fluency with mathematical language is important for students' engagement in many disciplinary practices such as defining, conjecturing, and proving; yet, there is growing evidence that mathematical language is challenging for undergraduate students. This dissertation study draws on two design experiments with pairs of students who were supported to encode their mathematical meanings with more formal language. I aimed to investigate the teaching and learning of mathematical language, and particularly the language in statements with multiple quantifiers, by engaging students in this type of activity. In the first paper, I investigated the complex ways in which the students in my study …


Short- And Long-Term Impacts Of A Deliberative Pedagogy In Introductory Biology And Chemistry Courses, Liz Rain-Griffith Jul 2020

Short- And Long-Term Impacts Of A Deliberative Pedagogy In Introductory Biology And Chemistry Courses, Liz Rain-Griffith

Dissertations and Theses

There have been multiple national calls for curricular reform in college-level science, technology, engineering, and mathematics (STEM), including a need to instill democratic skills in students. Democratic skill building can be embedded in STEM classrooms through intentional "deliberative pedagogies" which include skills in: communication, collaboration, and application. We developed and implemented a deliberative pedagogy, Deliberative Democracy (DD), across introductory majors and non-majors biology courses and a majors chemistry course. In two separate studies, I took a longitudinal, qualitative research approach to understand introductory biology and chemistry students' experiences and perceptions of DD. For the first study, I tracked a cohort …


Climate Toolkit: A Resource Manual For Science And Action - Version 2.0, Frank Granshaw Jul 2020

Climate Toolkit: A Resource Manual For Science And Action - Version 2.0, Frank Granshaw

PDXOpen: Open Educational Resources

The Climate Toolkit is a resource manual designed to help the reader navigate the complex and perplexing issue of climate change by providing tools and strategies to explore the underlying science. As such it contains a collection of activities that make use of readily available on-line resources developed by research groups and public agencies. These include web-based climate models, climate data archives, interactive atlases, policy papers, and “solution” catalogs. Unlike a standard textbook, it is designed to help readers do their own climate research and devise their own perspective rather than providing them with a script to assimilate and repeat. …


Undergraduate Biology Education Research Gordon Research Conference: A Meeting Report, Erin L. Dolan, Michelle Borrero, Kristine Callis-Duehl, Miranda M. Chen Musgrove, Joelyn De Lima, Isi Ero-Tolliver, Laci M. Gerhart, Emma Goodwin, Lindsey R. Hamilton, Meredith A. Henry, Jose Herrera, Bethany Huot, Stacey Kiser, Melissa E. Ko, Marcy E. Kravec, Mark Lee, Lisa B. Limeri, Melanie E. Peffer, Debra Pires, Juan S. Ramirez Lugo, Starlette M. Sharp, Nicole A. Suarez Jul 2020

Undergraduate Biology Education Research Gordon Research Conference: A Meeting Report, Erin L. Dolan, Michelle Borrero, Kristine Callis-Duehl, Miranda M. Chen Musgrove, Joelyn De Lima, Isi Ero-Tolliver, Laci M. Gerhart, Emma Goodwin, Lindsey R. Hamilton, Meredith A. Henry, Jose Herrera, Bethany Huot, Stacey Kiser, Melissa E. Ko, Marcy E. Kravec, Mark Lee, Lisa B. Limeri, Melanie E. Peffer, Debra Pires, Juan S. Ramirez Lugo, Starlette M. Sharp, Nicole A. Suarez

Biology Faculty Publications and Presentations

The 2019 Undergraduate Biology Education Research Gordon Research Conference (UBER GRC), titled “Achieving Widespread Improvement in Undergraduate Education,” brought together a diverse group of researchers and practitioners working to identify, promote, and understand widespread adoption of evidence-based teaching, learning, and success strategies in undergraduate biology. Graduate students and postdocs had the additional opportunity to present and discuss research during a Gordon Research Seminar (GRS) that preceded the GRC. This report provides a broad overview of the UBER GRC and GRS and highlights major themes that cut across invited talks, poster presentations, and informal discussions. Such themes include the importance of …


Theater Over Textbooks: How A Neuroscience Outreach Group Utilizing Art In S.T.E.M. Provides Cost-Effective Strategies In Tackling The United States Education Gap, Camden Grant Howard, William Griesar Jul 2020

Theater Over Textbooks: How A Neuroscience Outreach Group Utilizing Art In S.T.E.M. Provides Cost-Effective Strategies In Tackling The United States Education Gap, Camden Grant Howard, William Griesar

University Honors Theses

The purpose of this thesis was to summarize the relevant research for the evaluation of a S.T.E.A.M.-based, grassroots, neuroscience outreach group called 'NW Noggin'. This paper discusses the benefits and skills of S.T.E.M. in learning, the benefits and skills of S.T.E.A.M. in learning, educational disparities within the United States, educational outreach groups how they are currently assessed as well as more innovative arts-based and inquiry-based alternative assessments of student knowledge. This paper then focuses on the nonprofit NW Noggin to discuss their goals and activities and possible options for program assessment. This thesis also discusses how they fulfill their civic …


Investigation Of Evidence For The Internal Structure Of A Modified Science Motivation Questionnaire Ii (Msmq Ii): A Failed Attempt To Improve Instrument Functioning Across Course, Subject, And Wording Variants, Regis Komperda, Kathryn Hosbein, Michael M. Phillips, Jack Barbera Jul 2020

Investigation Of Evidence For The Internal Structure Of A Modified Science Motivation Questionnaire Ii (Msmq Ii): A Failed Attempt To Improve Instrument Functioning Across Course, Subject, And Wording Variants, Regis Komperda, Kathryn Hosbein, Michael M. Phillips, Jack Barbera

Chemistry Faculty Publications and Presentations

The Science Motivation Questionnaire II (SMQ II) was developed to measure aspects of student motivation in college-level science courses. Items on the SMQ II are structured such that the word ‘science’ can be replaced with any discipline title (e.g., chemistry) to produce a discipline-specific measure of student motivation. Since its original development as the Science Motivation Questionnaire and subsequent refinement, the SMQ II and its discipline-specific variants have been used in a number of science education studies. However, many studies have failed to produce acceptable validity evidence for their data based on the proposed internal structure of the …


Mathematical Silences, Matthew Nathan Petersen Jun 2020

Mathematical Silences, Matthew Nathan Petersen

Dissertations and Theses

Previous studies have shown that mathematicians employ lengthy silences in their collaborations, contrary to the norms that govern every-day collaborations. Such results shows the relevance of an investigation of silence in mathematical collaboration. This dissertation builds off these results in a series of three papers. The first paper describes a methodology that can be employed in the investigation of silence in mathematical collaboration. The second paper analyses silence in the mathematical collaboration of students in junior-level introductory proof classes. It identifies two forms of mathematical activity, reading and ruminating, that students regularly engage in, and which violate the norms of …


From Theory To Practice: Interdisciplinary Science In Undergraduate Education, Brie Tripp Jun 2020

From Theory To Practice: Interdisciplinary Science In Undergraduate Education, Brie Tripp

Dissertations and Theses

Science has undergone a major transformation in the 20th and 21st centuries with new fields emerging at the intersection of disciplines, such as bioethics, bioinformatics, and chemical ecology. Yet, opportunities to engage with interdisciplinary science, and the skills needed to work in these fields, are largely absent from undergraduate biology classrooms. As a consequence, students are potentially deprived of opportunities to think interdisciplinarily and engage with real-world issues that often necessitate interdisciplinary efforts. To be informed citizens in society and forward-thinking scientists in the workforce, undergraduate students will undoubtedly benefit from exposure to these interdisciplinary science experiences.

Given these considerations, …


Work-In-Progress: Implementing Sophomore Cornerstone Courses In Electrical And Computer Engineering, Branimir Pejcinovic, Melinda Holtzman, Phillip Wong Jun 2020

Work-In-Progress: Implementing Sophomore Cornerstone Courses In Electrical And Computer Engineering, Branimir Pejcinovic, Melinda Holtzman, Phillip Wong

Electrical and Computer Engineering Faculty Publications and Presentations

Many engineering programs have significant project-based courses in the freshman and senior years. The project component in our freshman year-long sequence evolves from minimally structured projects, like designing and building Rube-Goldberg contraptions, to more complex microcontroller-based projects where formal tools for teamwork and project management are introduced. However, we do not yet enforce strict adherence to procedures and processes in the freshman year. This is unlike the senior capstone, where the expectation is that students will not only be familiar with these methods but will use them effectively throughout their projects. This presents an obvious problem: what happens in the …


Identifying A Starting Point For The Guided Reinvention Of The Classification Of Chemically Important Symmetry Groups, Anna Marie Bergman May 2020

Identifying A Starting Point For The Guided Reinvention Of The Classification Of Chemically Important Symmetry Groups, Anna Marie Bergman

Dissertations and Theses

The study of abstract algebra is both required for most mathematics majors and notoriously difficult. Much of the mathematics education literature on investigating student thinking in abstract algebra highlights student struggles with understanding even the most fundamental concepts. The abstract nature of the content of the course has been credited as one of the contributors to student difficulties. While there have been various instructional innovations designed to support students in better understanding abstract algebra, and group theory in particular, they have not specifically focused on the issue of the abstract nature of the content. My dissertation study aimed to develop …