Education Commons^™

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- …

Course Portfolio For Math 309: Introduction To Mathematical Proofs - A Peer Review Of Teaching Project Benchmark Portfolio, Josh Brummer

UNL Faculty Course Portfolios

In this course portfolio, I examine dimensions of an active learning curriculum developed for a sophomore-level undergraduate course serving as an introduction to mathematical proofs. Prominent course goals include developing effective practices for communicating mathematics using formal language, learning to read, comprehend, and evaluate the validity of mathematical proofs, and practicing to write rigorous and concise mathematical proofs. I explore a new piece of collaborative annotation software called Perusall to help students read and understand mathematics together, and I analyze mastery level grading scales across exams throughout the semester. The portfolio also contains information about the structure and syllabus for …

Preservice Teachers As Document Detectives, Lorna Quinnell, Radha Iyer, Bronwyn Ewing

Australian Journal of Teacher Education

Literacy today relies on a readers’ ability to analyse text critically. This case study investigated preservice teachers’ critical analysis of media text containing visuals and representations. In particular, the analysis focused on mathematical factors that impact on readers’ interpretation of diverse visuals.

Data was gathered from the 23 preservice teachers, enrolled in the Graduate Diploma program at one Australian university. They participated in a series of mathematics learning sessions focused on the critical analysis of a selection of media items.

The paper argues that the ability to critically analyse graphs and visuals relies on mathematical knowledge and that the ability …

Course Portfolio For Math 872: Topology Ii, Alex Zupan

UNL Faculty Course Portfolios

In this course portfolio, I explore tactics for engaging a group of beginning mathematics graduate students taking the second semester of the first-year sequence in topology. Course objectives include computing algebraic invariants of topological spaces, understanding the Galois correspondence between covering spaces and fundamental groups, and using a range of invariants to distinguish spaces. My main instructional tools include a series of three "Activities" tailored to each student, a project involving computing invariants with the program SnapPy and using homology of covering spaces to distinguish 3-dimensional knots, and individual student board work during class periods. The activities served as benchmarks …

Math 314: Linear Algebra-A Peer Review Of Teaching Project Benchmark Portfolio, Xavier Pérez-Giménez

UNL Faculty Course Portfolios

My intention with this portfolio is to present my approach to teaching Math 314. This is a linear algebra course for senior-year undergraduate students in different STEM programs. The course serves as a transition from computational courses, such as calculus, to more theoretical ones, and exposes students, possibly for the first time, to abstract mathematical objects (such as general vector spaces) and simple proofs. Several lecture-based strategies are discussed and evaluated in connection with student learning outcomes. I also present samples of course materials and student work.

Course Portfolio For Math 407 Mathematics For High School Teaching: Refining Conceptual Understanding In A Mathematics Course For Pre-Service Teachers, Alexandra Seceleanu

UNL Faculty Course Portfolios

My intention in this portfolio is to present my approach to teaching an upper-level mathematics course for pre-service secondary level mathematics teachers. Several teaching strategies are discussed in the context of designing a coherent approach to this course, which emphasizes the need for conceptual reasoning above all other goals. These strategies are evaluated and assessed in connection to the learning outcomes using samples of student work from the course.

Also presented are samples of course materials that were used to lead students through an organized discussion of the relevant concepts. These materials convey some basic mathematical knowledge and therefore may …

Beyond Teacher Knowledge: Connections Between Content Knowledge, Mindset For Learning, And Teaching In Two-Year College Mathematics Faculty, Lucy Hernandez Michal

Open Access Theses & Dissertations

Addressing thousands of students entering unprepared to enroll in college freshman mathematics courses is a challenge two-year college mathematics faculty face every semester. The study addresses this challenge through a mixed methods sequential nested multi-case design to investigate what faculty need, beyond teacher knowledge, to teach mathematics effectively to students. The three-part study measured the mindset learning profile and content knowledge of a sample of mathematics faculty at a two-year college. The quantitative and qualitative data provided references to select four faculty typologies to interview and observe. Interviews reflected faculty perceptions of teaching and learning. Class observations captured images of …

“I’M Not Good At Math”: Mathematical Illiteracy And Innummeracy In The United States, G. Wesley Rogers

Electronic Theses and Dissertations

Why do we view mathematics the way we do in the United States and how have these views created an environment where we consider mathematical illiteracy and innumeracy socially and culturally acceptable when a lack of this knowledge and ability can function to enslave, exploit, restrict, and oppress. Throughout this investigation, I have explored some of the possible reasons for why we view education, mathematics, and the learning of mathematics the way we do and the impact of these views on our motivation and desire to learn mathematics. Using my over 20 years of teaching experience and the review of …

An Examination Of Accessible Hands-On Science Learning Experiences, Self-Confidence In One’S Capacity To Function In The Sciences, And Motivation And Interest In Scientific Studies And Careers., Mick D. Isaacson, Cary Supalo, Michelle Michaels, Alan Roth

Journal of Science Education for Students with Disabilities

This study examined the potential relationship of accessible hands-on science learning experiences to the development of positive beliefs concerning one’s capacity to function in the sciences and motivation to consider science as a college major and career. Findings from Likert survey items given before and after engaging in accessible hands-on science laboratories show that students who were blind or had low vision (BLV) were more likely to agree with the following items after engaging in accessible science experiences: 1) I plan on enrolling as a science major in college; 2) My educational experiences, so far, have given me the …

Creating Art Patterns With Math And Code, Boyan Kostadinov

Publications and Research

The goal of this talk is to showcase some visualization projects that we developed for a 3-day Code in R summer program, designed to inspire the creative side of our STEM students by engaging them with computational projects that we developed with the purpose of mixing calculus level math and code to create complex geometric patterns. One of the goals of this program was to attract more minority and female students into applied math and computer science majors.

The projects are designed to be implemented using the high-level, open-source and free computational environment R, a popular software in industry for …

Collaboration And Creativity In Southern Califonia: An Offering, Gizem Karaali, Ami Radunskaya

Pomona Faculty Publications and Research

WiMSoCal (Women in Math in Southern California) is a regional conference in its ninth incarnation. The conference is the result of the efforts of Professor Cymra Haskell (USC) to create a supportive local community for women mathematicians. At our first meeting in 2007, a confluence of Ami’s EDGE regional cluster and Cymra’s WISE group at USC, we socialized, got to know each other and brainstormed about what we, as a group, would like to see happen. It was clear that our younger colleagues wanted to meet as mathematicians, sharing intellectual ideas as well as anecdotes from the trenches.

The Role Of Black Colleges In The Development Of Mathematicians, Viveka Borum, Adriel Adon Hilton, Erica Walker

Journal of Research Initiatives

Historically Black colleges and universities (HBCUs) are home to almost 400,000 of the nation’s college and university population and account for nearly 25% of degrees conferred to African Americans, according to Hale (2006). They have been the launching pads for three-fourths of African Americans who hold doctorate degrees, three-fourths of Black officers in the military, and four-fifths of African American federal judges (Hale, 2006). In addition, fifty percent of African American faculty in predominantly White research universities received their bachelor’s degrees at an HBCU (Hale, 2006). These are significant percentages given the relatively small number of Black colleges and universities …

Factors For Success In Community College Online Gateway Math, Lisa Marie Borzewski

Walden Dissertations and Doctoral Studies

Researchers have found that student success rates in online classes are lower than in comparable face-to-face courses. Yet, the research is unclear as to whether student demographic and academic history variables are related to the lower success rates. At a large community college in Florida, low success rates for students in the online Intermediate Algebra course led to delays in the continuation of required coursework and graduation for many students and the factors associated with low success rates were largely unknown. The purpose of this quasi-experimental study was to examine the associations between several student variables and student success in …

Understanding The Relationships Among Students' Goal Orientations, Self-Efficacy, Anxiety, And Accelerated Academic Success In The Redesign Of Developmental Mathematics, Kelly Ann Hogan

Walden Dissertations and Doctoral Studies

The low success rates of increasing numbers of underprepared students taking developmental mathematics classes 'often minority and economically disadvantaged' are challenging community colleges across the United States. These students, who must start in the lowest levels of precollege mathematics courses, are unlikely to pass the first course and earn a credential. Using a mastery goal orientation theoretical framework, a quantitative, survey research design was used to ascertain any correlations between students' goal orientations, self-efficacy, test anxiety, and success in a new model of learning. Survey data were used to answer 3 research questions: (a) the relationship between success and students' …

Developing Primary Pre-Service Teachers' Mathematical Content Knowledge During Practicum Teaching, Sharyn L. Livy, Colleen Vale, Sandra Herbert

Australian Journal of Teacher Education

While it is recognised that a teachers’ mathematical content knowledge (MCK) is crucial for teaching, less is known about when different categories of MCK develop during teacher education. This paper reports on two primary pre-service teachers, whose MCK was investigated during their practicum experiences in first, second and fourth years of a four-year Bachelor of Education program. The results identify when and under what conditions pre-service teachers’ developed different categories of their MCK during practicum. Factors that assisted pre-service teachers to develop their MCK included program structure providing breadth and depth of experiences; sustained engagement for learning MCK; and …

Upward Bound Math-Science At Umass Boston, Terri Slater

Office of Community Partnerships Posters

Upward Bound Math-Science (UBMS) strives to increase the number of low-income and first-generation college bound students who enroll in and complete higher education programs, majoring in mathematics, the sciences, and computer science. UBMS aims to increase the number who pursues advanced study in these fields. UBMS serves students enrolled in the six academies that comprise the Lawrence High School Complex.

Transition From High School To College : The Experiences Of Girls In Rural West Virginia, Leanne Arbor Olson

Theses, Dissertations and Capstones

A degree in higher education is increasingly important in our competitive economic environment, but a 30% gap exists between high-income and low-income students attending college (Bloom, 2005; Corrigan & Hartle, 2007). Rural and urban schools contend with issues of poverty and educational resources, while suburban schools work with "ample resources and stable populations" (Truscott & Truscott, 2005, p. 245). The purpose of this study was to better understand the enabling and constraining factors of five girls from rural, West Virginia as they transitioned from high school to college. Collaborative enthographic case study allowed the five students to be involved in …

How Can We Make Our Mathematics Lessons Meaningful And Enjoyable?, Takbir Ali

Book Chapters / Conference Papers

No abstract provided.