Higher Education Commons^™

The Evolution Of College Algebra: Competencies And Themes Of A Quantitative Reasoning Course At The University Of Kentucky, Scott Taylor

Dissertations

For many institutions, especially community colleges, college algebra has been the default mathematics or quantitative reasoning requirement. However, the topics that have been taught in college algebra, teaching methods, and the goals of a quantitative reasoning requirement have changed and vary over time and among different institutions. Because of history, policy, and political influences, this study sought to explore commonalities and disparities of college algebra as it has evolved through the University of Kentucky. The three central research questions were What have been the common topics or themes of the competencies and topics covered in CA over the years at …

Student Global Mobility: An Analysis Of International Stem Student Brain Drain, Margaret E. Gesing

Educational Leadership & Workforce Development Theses & Dissertations

This study seeks to understand global mobility patterns of international graduate STEM students studying in the United States. Using data from the NSF Graduate Students in Science Survey (GSSS), this study investigates the political, economic, and social factors affecting students' intent to stay or go, identifying differences based on students' country of origin within World Bank defined categories of gross national income (GNI) per capita. Descriptive statistics identified factors affecting students' intent to stay or go. Chi-square analysis, and analysis of variance (ANOVA) identified differences between factors based on students' intent to stay or go, and identified differences based on …

Enhancing The Teaching And Learning Of Biometeorology In Higher Education, David R. Perkins Iv, Jennifer Vanos, Christopher Fuhrmann, Michael Allen, David Knight, Cameron C. Lee, Angela Lees, Andrew Leung, Rebekah Lucas, Hamed Mehdipor

Political Science & Geography Faculty Publications

Information about the annual meeting organized by the organizations the International Society of Biometeorology (ISB) and the Students and New Professionals (SNP) held in Norfolk, Virginia from July 28 to August 1, 2016 is presented. The event was organized to improve the teaching methods of teachers and learning of students on high education biometeorology and the presentations, practical sessions and group discussions participated by attendees.

Enhancing And Evaluating Scientific Argumentation In The Inquiry-Oriented College Chemistry Classroom, Annabel D'Souza

Dissertations, Theses, and Capstone Projects

The research presented in chapters 2, 3, and 4 in this dissertation uses a sociocultural and sociohistorical lens, particularly around power, authority of knowledge and identity formation, to investigate the complexity of engaging in, supporting, and evaluating high-quality argumentation within a college biochemistry inquiry-oriented classroom.

Argumentation skills are essential to college and career (National Research Council, 2010) and for a democratic citizenry. It is central to science teaching and learning (Osborne et al., 2004a) and can deepen content knowledge (Jiménez-Aleixandre et al., 2000; Jiménez-Aleixandre & Pereiro-Munhoz, 2002). When students have opportunities to make claims and support it with evidence and …

A Direct Tex-To-Braille Transcribing Method, Andreas Papasalouros, Antonis Tsolomitis

Journal of Science Education for Students with Disabilities

The TeX/LaTeX typesetting system is the most wide-spread system for creating documents in Mathematics and Science. However, no reliable tool exists to this day for automatically transcribing documents from the above formats into Braille/Nemeth code. Thus, visually impaired students of related fields do not have access to the bulk of study material available in LaTeX format. We have developed a tool, named latex2nemeth, for directly transcribing LaTeX documents to Nemeth Braille, thus facilitating the access of blind students to Science. In order to support the extensive set of Mathematics symbols covered by TeX, we propose some new symbols based on …

How Do Former Undergraduate Mentors Evaluate Their Mentoring Experience 3-Years Post-Mentoring: A Phenomenological Study, Kari L. Nelson, Christine E. Cutucache

The Qualitative Report

This phenomenological study involves a unique, longitudinal assessment of the lived experiences of former undergraduate mentors (n=7) in light of their current experiences (i.e., career or advanced schooling). The objective of a phenomenological study is to engage in in-depth probing of a representative number of participants. Specifically, we followed up with graduates of the Nebraska STEM 4U (NE STEM 4U) intervention 3 years post-program, with the overall goal of describing the mentors’ experiences using the lens of their current experiences. This type of longitudinal perspective of mentoring is greatly lacking in the current literature. At the time of the interviews, …

Numeracy Across The Curriculum In Australian Schools: Teacher Education Students’ And Practicing Teachers’ Views And Understandings Of Numeracy, Helen J. Forgasz, Gilah Leder, Jennifer Hall

Numeracy

In this article, we confront the challenges to teacher education students and practicing teachers raised by the concept of numeracy and its place in the curriculum. In the Australian Curriculum, there is an expectation that teachers at all grade levels and in all subject areas develop students' numeracy capabilities. At Monash University, a public, research-intensive university, the largest university in Australia, graduate level teacher education students are now required to complete a course entitled Numeracy for Learners and Teachers. We describe the content of this course and, from an online survey, report findings of the impact on students' understandings …

Rigorous Debates Over Debatable Rigor: Monster Functions In Introductory Analysis, Janet Heine Barnett

Analysis

No abstract provided.

The Derivatives Of The Sine And Cosine Functions, Dominic Klyve

Calculus

No abstract provided.

Solving A System Of Linear Equations Using Ancient Chinese Methods, Mary Flagg

Linear Algebra

No abstract provided.

The Definite Integrals Of Cauchy And Riemann, Dave Ruch

Analysis

Rigorous attempts to define the definite integral began in earnest in the early 1800's. One of the pioneers in this development was A. L. Cauchy (1789-1857). In this project, students will read from his 1823 study of the definite integral for continuous functions . Then students will read from Bernard Riemann's 1854 paper, in which he developed a more general concept of the definite integral that could be applied to functions with infinite discontinuities.

The Closure Operation As The Foundation Of Topology, Nicholas A. Scoville

Topology

No abstract provided.

A Compact Introduction To A Generalized Extreme Value Theorem, Nicholas A. Scoville

Topology

In a short paper published just one year prior to his thesis, Maurice Frechet gives a simple generalization one what we might today call the Extreme value theorem. This generalization is a simple matter of coming up with ``the right" definitions in order to make this work. In this mini PSP, we work through Frechet's entire 1.5 page paper to give an extreme value theorem in more general topological spaces, ones which, to use Frechet's newly coined term, are compact.

Primes, Divisibility, And Factoring, Dominic Klyve

Number Theory

No abstract provided.

Babylonian Numeration, Dominic Klyve

Number Theory

No abstract provided.

Gaussian Integers And Dedekind's Creation Of An Ideal: A Number Theory Project, Janet Heine Barnett

Number Theory

No abstract provided.

Construction Of The Figurate Numbers, Jerry Lodder

Number Theory

No abstract provided.

Pascal's Triangle And Mathematical Induction, Jerry Lodder

Number Theory

No abstract provided.

Generating Pythagorean Triples: The Methods Of Pythagoras And Of Plato Via Gnomons, Janet Heine Barnett

Number Theory

No abstract provided.

How Question Types Reveal Student Thinking: An Experimental Comparison Of Multiple-True-False And Free-Response Formats, Joanna K. Hubbard, Macy A. Potts, Brian A. Couch

School of Biological Sciences: Faculty Publications

Assessments represent an important component of undergraduate courses because they affect how students interact with course content and gauge student achievement of course objectives. To make decisions on assessment design, instructors must understand the affordances and limitations of available question formats. Here, we use a crossover experimental design to identify differences in how multiple-true-false (MTF) and free-response (FR) exam questions reveal student thinking regarding specific conceptions. We report that correct response rates correlate across the two formats but that a higher percentage of students provide correct responses for MTF questions. We find that MTF questions reveal a high prevalence of …

Undergraduate Engineers And Teachers: Can Students Be Both?, Malinda S. Zarske, Maia L. Vadeen, Janet Y. Tsai, Jacquelyn F. Sullivan, Denise W. Carlson

Journal of Pre-College Engineering Education Research (J-PEER)

Today’s college-aged students are graduating into a world that relies on multidisciplinary talents to succeed. Engineering college majors are more likely to find jobs after college that are outside of STEM (science, technology, engineering, and mathematics) fields, including jobs in healthcare, management, and social services. A survey of engineering undergraduate students at the University of Colorado Boulder in November 2012 indicated a desire by students to simultaneously pursue secondary teacher licensure alongside their engineering degrees: 25 percent ‘‘agreed’’ or ‘‘strongly agreed’’ that they ‘‘would be interested in earning grades 7–12 science or math teaching licenses while [they] earn [their] engineering …

Immigrant Parental Involvement In Student Academics, Charles Tebben

Empowering Research for Educators

Abstract

This study is meant to focus discussions about the importance of the involvement of immigrant parents in respect to student academics. In this study I intend to make evident a relationship between parental involvement and student academics, after which I will draw in a conclusion of the resources utilized by my community at the elementary and middle schools. I’m conducting my research study starting at elementary school and running through middle school. I’m eliminating the high school period because of their unique parental involvement complexities which share little constraints and outcomes with the lower levels. To build my study, …

Growth Mindset In The Classroom, Luther L. Kiger

Empowering Research for Educators

This article discusses how Mindset can effect a students educational and social life.

The Language Of Learning In Family And Consumer Sciences: English Language Learners In Career Technical Education, Kali S. Lenhoff

Empowering Research for Educators

Family and Consumer Sciences (FCS) content and English as a Second Language (ESL) strategies can be organically incorporated to create a successful education for an English Language Learner (ELL). The first objective of this research project is to discover how prepared Family and Consumer Sciences teachers feel to work with English Language Learners in the classroom. The second objective is to identify practical and effective methods and strategies that are useful for Family and Consumer Sciences teachers instructing English Language Learners. The rationale for this project is that by identifying the challenges faced by English Language Learners in education, teachers …

Emphasis On Test Scores In Education, Lindsay Olson

Empowering Research for Educators

This article discusses how too much emphasis on standardized testing can affect student learning as well as teaching in the classroom. It includes a personal interview with a high school teacher as well as an article from the Washington Post regarding a study that was completed involving testing students.

Finding Meaning In Calculus (And Life), Doug Phillippy

ACMS Conference Proceedings 2017

A 2015 publication of the Mathematical Association of America (Insights and Recommendations from the MAA National Study of College Calculus) noted that "students taking college calculus exhibited a reduction in positive attitude toward mathematics, which can affect their career aspira

Cultivating Mathematical Affections Through Engagement In Service-Learning, Josh Wilkerson

ACMS Conference Proceedings 2017

Why should students value mathematics? While extensive research exists on developing the cognitive ability of students, very little research has examined how to cultivate the affections of students for mathematics. The phrase "mathematical affections" is a play on the affective domain of learning as well as on the general notion of care towards something. Mathematical affections are more than a respect for the utility of the subject; the term is much broader and includes aesthetic features as well as habits of mind and attitude. This paper will analyze the findings from a research project exploring the impact of service

Reading Journals: Preview Assignments That Promote Student Engagement, Productive Struggle, And Ultimate Success In Undergraduate Mathematics Courses, Sarah Nelson

ACMS Conference Proceedings 2017

We spend lots of time searching for the best textbook for students. We want our students to have a reliable and useful resource to reference, as needed. We even ask them to read over certain material before classes. Often, however, we fail to guide our students in how to read the text productively. Incorporating reading journals into your classes is an excellent way to simultaneously develop your students' ability to read mathematical text and capitalize on what the students already have to offer. In this presentation, we will look at how reading journals motivate students in a variety of mathematics …

Blended Courses Across The Curriculum: What Works And What Does Not, Ryan Botts, Lori Carter, Catherine Crockett

ACMS Conference Proceedings 2017

Recent hype around online and blended courses touts the benefits of immediate student feedback, flexible pace, adaptive learning, and better utility of classroom space. Here we aim to summarize the results of a 3-year pilot study using blended courses across the quantitative science curriculum (Mathematics, Statistics and Computer Science), in both upper and lower division, major and GE courses. We present findings on student attitudes towards this format, most helpful course components, time on task, progress on learning outcomes and faculty perspectives. This summary can be used to inform best practices in hybrid design, implementation and faculty expectations in the …

Variations On The Calculus Sequence, Christopher Micklewright

ACMS Conference Proceedings 2017

Many institutions have embraced a standard format for the Calculus sequence, comprising three four-credit courses covering a fairly consistent set of topics. While there is much to recommend this approach, it still leaves some fantastic concepts rushed or untouched, and it can be argued that it demands too much of students with weaker backgrounds. As such, some schools have experimented with variations on the standard format. In this talk, I will present the model that my institution currently uses, exploring the strengths and weaknesses of our particular approach. I will also suggest ideas, developed in conversation with other ACMS members …