Digital Commons Network^™

An Evaluation Using Universal Design For Learning, Lilah Nye

Honors Projects

This research was conducted to evaluate the prevalence of an Educational framework known as the Universal Design for Learning (UDL) in a set of lesson plans published by a nationally recognized organization. The intention of this focus was to push major professional organizations in mathematics education to produce inclusive resources for all students. UDL is an opportunity to increase accessibility of curriculum for students by reducing barriers to learning that play a role in educational inequity, and generally the goal of UDL is that lessons are made accessible preemptively to benefit all students rather than for individual students as the …

Connecting Music To The Mathematics Classroom, Nicholas Parr

Honors Projects

This project investigates the importance of integrating music into mathematics classrooms K-12. By outlining the numerous connections between mathematics and music, and applying those to pedagogy, the project provides interdisciplinary overlaps that may be unknown to current teachers. Evidence supports the conclusion that mathematical abilities improve after musical infusion, yet the presence of this intervention is lacking in grades 7-12. Therefore, both mathematical and musical intelligence suffer as a result of the separation of electives and core classes. This project contains eight original mathematics content standards, which would coincide with the Ohio Learning Standards for Mathematics, as well as a …

Reflecting On Movement In The Math Classroom, Zoey Berger

Honors Projects

The purpose of this paper is to determine how reflection on movement effects the learning and connections made by students in the math classroom. Kinesthetic Movement is a learning style that is oftentimes forgotten about and left out of classroom instruction. It can help increase motivation, build deeper connections, and create a more positive disposition towards math for students. Research was conducted in four, eighth grade, pre-algebra classes, with some classes being given the opportunity to reflect more than others. Test scores, journal responses, and interest surveys done by the students are used to show inconclusive results that reflection on …

The Theatre Of Math: The Stage As A Tool For Abstract Math Education, Blaine Hudak

Honors Projects

So often in the education of Mathematics does instruction solely consist of the lecture. While this can be an effective method of communicating the ideas of math, it leaves much to be desired in gathering the interest and intrigue of those who have not dedicated their lives to the study of the subject. Theatre, by contrast, is a tool that has been used in the past as means of teaching complicated and difficult to understand moral and emotional subjects. While Theatre and Mathematics have been used in combination many times in the past, it is most often done in the …

Investigating Correlations Among A Growth-Mindset Intervention, Students’ Math Anxiety, And Students’ Math Self-Efficacy, Anna Grace Chamberlain

Honors Projects

This paper details the methodology, data, and conclusions of a research study investigating the correlations among a growth-mindset intervention, math anxiety, and math self-efficacy. The study found that teaching students about mindset through an intervention approach did not make a significant difference in students’ math anxiety or math self-efficacy. Teacher-centered factors are discussed as having a greater impact on students’ math anxiety and math self-efficacy.

The Importance Of Implementing Literacy Strategies In A Mathematics Classroom, Lauren Tecca, Joanna Weaver, John Chen

Honors Projects

The purpose of this ACTION research study is to explore the influence of literacy on mathematical proficiency levels. The correlation will use the data to formulate some strategies for the classroom in order to increase confidence in both subject areas.

Open-Ended Problems: How Much Time Is Enough Time?, Kaitlyn Solymosi

Honors Projects

The purpose of this action research is to observe and analyze students’ responses to open-ended questions, examine student engagement in assessment, and to gauge a reasonable timetable of how long students are predicted to work through them. A great amount of research has been conducted regarding the benefits and impact of open-ended problems in K-12 classrooms, but very little research has focused on the proper amount of time that should be allotted for them. This action research aims to establish a general rule for determining the proper amount of time allotted for open-ended problems. Implications for mathematics teachers will be …

An Exploratory Analysis Of The Bgsu Learning Commons Student Usage Data, Emily Eskuri

Honors Projects

The purpose of this study was to explore past student usage data in individualized tutoring sessions from the Learning Commons from two academic years. The Bowling Green State University (BGSU) Learning Commons is a learning assistance center that offers various services, such as individualized tutoring, math assistance, writing assistance, study hours, and academic coaching. There have been limited research studies into how big data and analytics can have an impact in higher education, especially research utilizing predictive analytics.

This project applied analytics to individualized tutoring data in the Learning Commons to create a better understanding of why those trends happen …

Metacognition In A Mathematics Classroom, Paige Murta

Honors Projects

The purpose of this action research study is to explore the connections between students’ ability to engage in metacognitive methods, their understanding of mathematical content, and their mathematical performance. By having a group of students engage in a lesson about metacognition and a mathematical modeling problem then comparing their test scores to that of a control group a correlation can be found to analyze the effects of metacognition methods in a mathematics classroom.

Mathematics In A Social Justice World: A Statistical Reasoning Unit Investigating Modern-Day School Segregation, Zoe Alberts

Honors Projects

It is no secret that our daily lives are full of mathematical concepts and skills. Taking it one step further, many social justice issues are rooted in mathematical research and data. This idea should be the center of the mathematics classroom. According to Crystal Watson, a math teacher from Cincinnati City Schools District, we need to incorporate these social issues into the classroom because the “lack of opportunity to explore, learn, and master mathematical concepts keep out students, families, and communities oppressed (Watson, 2020)”. This is a fully functional, ready to use, digital mini unit over 7th grade statistical reasoning …

Correcting Student Motivation In A Mathematics Classroom, Joshua Mcpheron

Honors Projects

The intentions of this action research study are to analyze the motivational components of students in a classroom and test which forms of encouragement will create the most motivation. Utilizing the Motivational Systems Theory of Martin E. Ford, students will be measured quantitatively and qualitatively for their classroom motivation and which component of the theory causes them to lack it. The results will reveal how each type of student responds to different teaching styles, and how they will be motivated as a result.

The Effect Of Mozart’S Music On Test Anxiety, Emma Blevins

Honors Projects

Test anxiety is a multitude of negative responses to evaluation, which can have an adverse effect on student performance on examinations and student health. Research has found that listening to slow or classical music can help reduce student test anxiety by improving spatial-temporal reasoning, improving student focus, and reducing the physiological effects of anxiety. In my classroom, listening to Mozart’s music was shown to have a positive effect on students’ emotional well-being. However, the students in my classroom did not have a significant change in performance on mathematics exams when listening to Mozart’s music.

The Impact Of Frayer Models In A Mathematics Classroom, Makenna Geise

Honors Projects

The purpose of this action research study was to explore the impact that Frayer Models have on students’ attitudes towards mathematics. I conducted a two-week unit on transformations, where students were introduced to a classroom focused on academic language, supplementing their learning with Frayer Models for homework and in-class assessments. I assessed their attitudes towards mathematics before and after the use of the Frayer Models, where I analyzed the effect that the Frayer Models had on the students and their use of academic language. It was evident that most of the students’ found the focus on academic language beneficial to …

Music And Its Application In The Classroom, Christian Mcknight

Honors Projects

The purpose of this action research project is to determine if background music can be used to improve student test scores using the Mozart Effect. The participants were twenty-eight juniors and seniors from two Algebra II classes at Sylvania Southview High School. Each student in the study was given a control quiz, taken with no background music, followed by the experimental quiz, taken with classical music, specifically Mozart’s “Sonata for Two Pianos in D, K. 448”, playing in the background. The mean average of the students’ first quiz was 2.7% higher than the mean average of the second quiz taken …

Non-Naturalism And Naturalism In Mathematics, Morality, And Epistemology, Nicholas Distefano

Honors Projects

No abstract provided.

The Pope's Rhinoceros And Quantum Mechanics, Michael Gulas

Honors Projects

In this project, I unravel various mathematical milestones and relate them to the human experience. I show and explain the solution to the Tautochrone, a popular variation on the Brachistochrone, which details a major battle between Leibniz and Newton for the title of inventor of Calculus. One way to solve the Tautochrone is using Laplace Transforms; in this project I expound on common functions that get transformed and how those can be used to solve the Tautochrone. I then connect the solution of the Tautochrone to clock making. From this understanding of clocks, I examine mankind’s understanding of time and …

Student Attitudes On Cooperative Learning And Individual Learning In My Mathematics, Jessica Thompson

Honors Projects

The main purpose of this research is to see which learning style, individual or cooperative, is better for student attitudes in my classroom when implemented correctly. When students work within cooperative learning groups, research has found that they have more positive attitudes as well as higher performance levels. However, the students in my classroom did not have a significant change in attitude when in cooperative learning groups versus learning individually.

Student-Created Test Sheets, Samuel Laderach

Honors Projects

Assessment plays a necessary role in the high school mathematics classroom, and testing is a major part of assessment. Students often struggle with mathematics tests and examinations due to math and test anxiety, a lack of student learning, and insufficient and inefficient student preparation. Practice tests, teacher-created review sheets, and student-created test sheets are ways in which teachers can help increase student performance, while ridding these detrimental factors. Student-created test sheets appear to be the most efficient strategy, and this research study examines the effects of their use in a high school mathematics classroom.

Preservice Teacher Development Through Math Camp Involvement, Kelly Largent

Honors Projects

This research study investigated the role that involvement in Math Camp had on the development of preservice math teachers at Bowling Green State University. The research question was, In what ways do preservice teachers perceive their development through math camp involvement and how do they plan to use this development in their future classrooms? Since 2013, there have been 134 BGSU preservice teachers that have participated in Math Camp. All of these individuals were solicited to participate in the research study. Fifteen responded to the solicitation and participated in the study. Each participant completed a brief survey as well as …

Eighth-Grade Students' Use And Justification Of Multiple Represenations, Maria Nielsen

Honors Projects

The purpose of this study is to explore students’ use of multiple representations in the classroom and their reasoning for representation choice. The participants of this study were 22 eighth-grade students. All students took a short pretest consisting of three items. The items addressed mathematics content covered during regular instruction. Students were asked to answer each question using different representations. Usual instruction included frequent probing and encouragement of students' representation use while problem solving. Students were asked to explain their reasoning when problem solving and share their representations with others. Following the unit of instruction, students completed a posttest composed …

Examining Implementations Of Blended Learning In A K-12 Mathematics Classroom, Kelsey Waynick

Honors Projects

In this research project, I investigated the effects on eighth grade students’ performances and perceptions throughout a blended learning experience by implementing a combination of face-to-face and online instructional strategies in an Algebra classroom. This blended experience was segmented into two units – a face-to-face unit and a blended unit – to allow for comparison within the participant group of high-achieving mathematics students. Edmodo, an online educational platform, was utilized to provide students with access to online resources at home during the blended unit. Students completed a series of three identical tests to quantitatively measure learning growth at designated checkpoints …

Student Perspective And Frequency Of Mathematical Textbook Use, Lance Kruse

Honors Projects

The purpose of this action research study was to explore students’ perspective and use of their mathematical textbook as a resource to learn mathematics. Participants were 18 students who attended an eighth grade mathematics class for 45 minutes each day in a suburban school setting. An initial survey was provided to participants to gauge perspective about current use of textbook as a resource and was then followed up with a focus group interview of six participants. Specifically designed instruction was aimed at creating a reader-centered learning environment by instructing participants about key components of the textbook and encouraging proper reading …

Fostoria Intermediate Elementary School Family Math Night, Chelsea Nye

Honors Projects

This is a Family Math Night that was planned and held at Fostoria Intermediate Elementary School in Fostoria, Ohio. It includes the Research Questions, Literature Review, Proposed Activity, Methodology, and Expected Results as well as the Annotated Bibliography and Timeline for Completion from my research and planning. Following the Proposal are 20 mathematical activity or game lesson plans and direction sheets that were planned for the Family Math Night. There are 5 different mathematical activities or games for each grade level 3-6, each meeting a different domain in the Common Core State Standards. At the end there is two general …

Action Research: Reflective Journaling Within Middle Grades Mathematics Classroom, Larissa Van Der Molen

Honors Projects

Reflective journaling within a middle grades mathematics classroom offers great potential as a practice for both educators and students. This paper examines the previous work that has been completed while also exploring the effectiveness of the practice in a fifth grade math classroom. The research shows that while implementing reflective journaling in a math classroom is time consuming, the benefits of opening lines of communication between pupil and teacher and improving the student learning experience outweigh the negatives. This study focuses on a fifth grade math class composed of 26 students who wrote daily in their journals. The data discussed …

Convexity Properties Of The Diestel-Leader Group Γ_3(2), Peter J. Davids

Honors Projects

The Diestel-Leader groups are a family of groups first introduced in 2001 by Diestel and Leader in [7]. In this paper, we demonstrate that the Diestel-Leader group Γ₃(2) is not almost convex with respect to a particular generating set S. Almost convexity is a geometric property that has been shown by Cannon [3] to guarantee a solvable word problem (that is, in any almost convex group there is a finite-step algorithm to determine if two strings of generators, or “words”, represent the same group element). Our proof relies on the word length formula given by Stein and Taback …

The Effectiveness Of The Flipped Classroom, Raymond Szparagowski

Honors Projects

This research study explores the “flipped” or “inverted” classroom and its effects on student learning. The flipped classroom is a form of education in which students learn new content during out-of-class-time instead of the traditional review exercises that are normally given, which opens up class time for activities, problem solving, and other forms of instruction. During this study, a flipped classroom was implemented in a high school mathematics course. Data was collected from student grades, a pre and post survey, a class interview/discussion, and my personal notes from teaching. My results indicate that some potential benefits of the flipped classroom …