Digital Commons Network^™

Improvirg Mathematical Ability In The United States, Emma Winegar

Augsburg Honors Review

The United States has a deficit in the abilities of its citizens to comprehend mathematics, as compared with similar countries. Many people experience math anxiety, and in turn hate mathematics and shy away from it at all costs. Problems with the current curriculum and teaching styles in schools limit students from being successful in mathematics. Improving mathematical ability will not only lessen anxiety, but will improve society as a whole. Mathematics is crucial to survival in modern day society. It is important that the issue of the overall low level of mathematical proficiency in the U.S. be solved. This paper …

Twelfth Grade Kuwaiti Students’ Identification Of Domain And Range In Graphical Representation Of Function And The Meaning They Ascribe To Them, Amal Alajmi

Journal of Educational and Psychological Studies

This research investigated twelfth grade students' performance in identification of domain and range of functions in a graphical representation. The study focused on four types of functions: polynomial, trigonometry, piecewise and discontinuous. The study also aimed to identify the meaning that students gave for the domain and range and how they identified them. To collect the data two instruments were used: a test and an interview. A sample of 216 students participated in the study. The results showed a low performance in identifying domain and range for functions in graphical representation. The T-test indicated a statistical difference in students’ performance …

Perceived Teaching Style And Academic Growth In An International School Setting, Jamie Elizabeth Martin

Dissertations

The presence of international schools has grown significantly around the world to accommodate a growing need for academic instruction that differs from that provided in local schools and to meet the rapid demands of globalization. As demands for international schools increase, demands for student performance are also increasing.

This quantitative correlational study seeks to determine if correlations exist between teaching style and student academic growth in mathematics within an international school setting. The study also determines if a dominant teaching style exists and if correlations between teacher grade level and teaching style can be made among international teachers who teach …

Properties Of Functionally Alexandroff Topologies And Their Lattice, Jacob Scott Menix

Masters Theses & Specialist Projects

This thesis explores functionally Alexandroff topologies and the order theory asso- ciated when considering the collection of such topologies on some set X. We present several theorems about the properties of these topologies as well as their partially ordered set.

The first chapter introduces functionally Alexandroff topologies and motivates why this work is of interest to topologists. This chapter explains the historical context of this relatively new type of topology and how this work relates to previous work in topology. Chapter 2 presents several theorems describing properties of functionally Alexandroff topologies ad presents a characterization for the functionally Alexandroff topologies …

Embodied Truths: How Dynamic Gestures And Speech Contribute To Mathematical Proof Practices, Elizabeth L. Pier, Candace Walkington, Virginia Clinton, Rebecca Boncoddo, Caroline Williams-Pierce, Martha W. Alibali, Mitchell J. Nathan

Education, Health & Behavior Studies Faculty Publications

Grounded and embodied theories of cognition suggest that both language and the body play crucial roles in grounding higher-order thought. This paper investigates how particular forms of speech and gesture function together to support abstract thought in mathematical proof construction. We use computerized text analysis software to evaluate how speech patterns support valid proof construction for two different tasks, and we use gesture analysis to investigate how dynamic gestures—those gestures that depict and transform mathematical objects—further support proof practices above and beyond speech patterns. We also evaluate the degree to which speech and gesture convey distinct information about mathematical reasoning …

The Effects Of Geogebra On Student Achievements, Critical Thinking/Problem-Solving Skills, And Engagement/Motivation In High School Mathematics, Zachary Schaver

Master's Theses & Capstone Projects

This research project explores the overall effects that GeoGebra has on students' learning in mathematics. More specifically, this research demonstrates the effects GeoGebra has on student achievement scores, students' critical thinking/problem-solving skills, and students' engagement/motivation. In this research, two groups of high school geometry students from two different years were used to determine students' achievements and understanding. Students in 2018 used traditional teaching practices while students in 2019 used GeoGebra as a means of learning mathematics. The scores were taken from teacher made assessments and reported as averages from both years. In addition, observations and a survey were used to …

Strategies To Enhance The Positive Effects Of Bilingualism, Danielle Mcmillan

School of Education and Leadership Student Capstone Projects

Supporting bilingual students is critical not only for the bilingual students but also for monolingual students. Prominent bilingualism in the classroom can translate to higher test scores, increased engagement, and long-term impacts on brain agility. This capstone project seeks to answer the question: What strategies are available to educators to enhance the positive effects of bilingualism in their students? The final result of this project is a website which includes a series of strategies focused on the four domains of language which seeks to meet the educational needs of both bilingual and mainstream students. The website includes a description of …

Content Specific Math Instruction To Improve English Language Learners' Comprehension Of Comparison Math Word Problems, Abigail Snyder

School of Education and Leadership Student Capstone Projects

The research question addressed in this project was, how can math instruction and comprehension of comparison word problems for ELL students be enhanced through content specific vocabulary on, many, more, and fewer, and combinations of these words? The research demonstrated a need for vocabulary knowledge for English Language Learners to comprehend mathematical word problems and acquire academic English. The project involved creating a ten day vocabulary unit addressing strategies for learning vocabulary found in the research. The Understanding by Design process was used in creating this project. This project utilizes the Math Expressions curriculum by Fuson (2009), utilized in the …

Comprehensible Input And Output In The Math Immersion Classroom: A Professional Development Series, Kimberly Kulhanek

School of Education and Leadership Student Capstone Projects

The one-way immersion classroom provides a unique environment for students to learn content through instruction in their non-native language. However, students in early elementary grades typically have not had enough exposure to the target language to maintain sentence-level dialogue. The professional development series designed for this project uses the concepts of growth mindset, cognitively guided instruction, comprehensible input, and comprehensible output to increase students' ability to process and explain their mathematical thinking in the target language. Both growth mindset and cognitively guided instruction have been used in classrooms for years, but there has been little research into their implementation in …

Comparing Nebraskan And Finnish Education Policy And Its Impacts On Mathematics Teaching, Elizabeth Tyler

Honors Program: Senior Projects (Public)

For two decades, Finland has been in the education spotlight as they consistently receive high international exam scores while spending less money, less time teaching, and putting students through fewer hours of school. This study aims to investigate the related policy that may help explain these seemingly paradoxical findings in the education sector. More specifically, this study examines how related policy impacts math teachers in their day to day work. This research includes an extensive literature review that explores several facets of the education system in both Nebraska and Finland in order to better understand existing policies. This background is …

Algebraic Topics In The Classroom – Gauss And Beyond, Lisa Krance

Masters Essays

No abstract provided.

Introduction Of Infinite Series In High School Level Calculus, Ericka Bella

Masters Essays

No abstract provided.

The Effectiveness Of Student-Centered Technology Use During Early Elementary Small Group Math Instruction, Brenna Lind

Master's Theses & Capstone Projects

The purpose of this action research study was to determine whether students would show more growth when using paper and pencil activities or technology during small group instruction in mathematics, specifically on the skill of telling time. Data was collected from ten second-grade students over a five-week period. The two intervention groups involved in the study met for equal amounts of time and were given the same tests for data collection purposes. The test questions were randomized pictures of clocks that required students to tell time to the nearest five minutes. One intervention group practiced the skill of telling time …

Feminist-Infused Participatory Action Research To Promote Female Students’ Self- Efficacy In Mathematics, Nicole Hreno

Theses and Dissertations

Prompted by the manifestations of decreased levels of mathematical self-efficacy among the female students in my district, the purpose of this study was to investigate the source of self-efficacy development that was most influential among our female students and engage in praxis to combat these gender inequities. Grounded in critical feminist theory, I engaged six teacher-researchers in participatory action research through qualitative methodologies. Using questionnaires to examine the worldviews of our female students, the emergent study was guided by these voices which were previously silenced. The interventions employed were a direct result of the females’ expressed mathematical experiences, leading us …

Developing Specialized Content Knowledge For Equitable Practice In Mathematics: Exploring A Constructivist Approach To Preservice Teacher Education, Jane Rector Wilkes

Theses and Dissertations

A successful teacher education program prepares preservice teachers to provide high quality mathematics education for all students. In order to effectively address the needs of diverse and historically underserved groups of students, future teachers need to have a deep understanding of both basic content knowledge and pedagogical content knowledge. The purpose of this study was to examine ways to support preservice teachers in improving procedural and conceptual content mastery, as well as the specialized content knowledge that they will need in order to feel empowered to teach their future students.

Based on the theoretical frameworks of two components of mathematical …

The Current State Of High School Female And Minority Self-Efficacy And Interest In Stem In Chatham County, Georgia, Sara Gremillion, Sarah Zingales, William Baird, Nia Hunter, Amy Durden, Sabrina Hessinger

Georgia Educational Researcher

With the growing demand for science, technology, engineering, and mathematics (STEM) jobs in the U.S., the attainment of college degrees in these areas is of paramount importance. Both federal and state governments have established initiatives to grow the number of STEM degrees earned by women and racial minorities, as these groups graduate in STEM disciplines and work in STEM fields at a lower rate than that of their majority counterparts. The factors that can deter women and underrepresented minorities from pursuing STEM careers have been identified with one of the most prominent being low self-efficacy, or a reduced belief in …

Realistic Mathematics Education Untuk Meningkatkan Kemandirian Belajar Matematika, Renika Arisinta, Abdur Rahman As’Ari, Cholis Sa’Dijah

Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan

This study aims to describe the Realistics Mathematics Education (RME) approach in increasing the independence of students' mathematics learning in the material area and around square and rectangle. This type of research was classroom action research. The subject of this study were fourth grade students of Elementary School consisting of 29 students. Learning devices in this study were Learning Implementation Plans and Group Worksheets while the instruments used in this study are observation sheets of student learning independence, teacher observation sheets, questionnaires, and interview guidelines. The results of the study showed that the RME approach that was packaged by giving …

Effects Of Differentiating Instruction Through Tiered Lessons In Special Education Secondary Mathematics, Katlyn Lewis

Theses and Dissertations

This study examined the effects of differentiating instructing through tiered lessons to see if it would improve students' success in high school special education classes. The study was done in two Algebra II secondary special education classrooms including 17 students in total. There were 5 females and 12 males, all students were juniors in high school and aged 16 or 17 years old. All of the students were classified as either specific learning disabilities, other health impaired, or multiple disabilities including anxiety and depression. The students were enrolled in resources classes for all of their major academic subjects and inclusive …

Departmentalization For Mathematics: Is It Beneficial For Teachers, Students, And Teacher Candidates?, Melinda S. Eichhorn, Courtney Lacson

Journal of Educational Research and Practice

Studies have shown that both the departmentalized and self-contained models of instruction can help students achieve strong mathematics scores on standardized tests, and school administrators must consider their teachers and students when deciding on an instructional model. However, little research has considered the effect of the instructional model on initial license teacher candidates and school–university partnerships. Drawing from a Massachusetts college’s experience with practicum placements for elementary candidates pursing a generalist license (Grades 1–6), implications for teacher preparation programs are explored as more upper elementary classrooms move to a departmentalized model for mathematics.

Data Mining And Machine Learning To Improve Northern Florida’S Foster Care System, Daniel Oldham, Nathan Foster, Mihhail Berezovski

Beyond: Undergraduate Research Journal

The purpose of this research project is to use statistical analysis, data mining, and machine learning techniques to determine identifiable factors in child welfare service records that could lead to a child entering the foster care system multiple times. This would allow us the capability of accurately predicting a case’s outcome based on these factors. We were provided with eight years of data in the form of multiple spreadsheets from Partnership for Strong Families (PSF), a child welfare services organization based in Gainesville, Florida, who is contracted by the Florida Department for Children and Families (DCF). This data contained a …

Rep Stivers Recognizes Muhammad In Statement On International Education, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.

Evaluating Functions And Their Domain And Range - 8th/9th Grade Algebra, Melanie R. Webb

Understanding by Design: Complete Collection

The goal of this algebra unit is to solidify student understanding of functions and ensure they can express domain and range for discrete and continuous functions. Students will also be expected to evaluate functions. The unit includes lesson plans for 10 class days along with many supplemental materials including activities, pre-test, data tracker, and quiz. The function unit culminates with a performance assessment (rubric included) where students create their own function machine and complete an accompanying document to show the depth of their understanding.

Calculus Remediation As An Indicator For Success On The Calculus Ap Exam, Ty Stockham

Electronic Theses, Projects, and Dissertations

This study investigates the effects of implementing a remediation program in a high school Advanced Placement Calculus AB course on student class grades and success in passing the AP Calculus AB exam.

A voluntary remediation program was designed to help students understand the key concepts and big ideas in beginning Calculus. Over a period of eight years the program was put into practice and data on student participation and achievement was collected. Students who participated in this program were given individualized recitation activities targeting their specific misunderstandings, and then given an opportunity to retest on chapter exams that they had …

An Examination Of The Role Of First-Year College-Level Mathematics In Stem Field Major Persistence At A Hispanic-Serving Institution, Jaimi Paschal, Amanda Taggart

Teacher Education and Leadership Faculty Publications

This study examined the influence of mathematics course-taking on Latina/o science, technology, engineering, and mathematics (STEM) major persistence utilizing data from first-year STEM majors at a Hispanic-Serving Institution (HSI). Findings indicated that students who passed a first-term college-level mathematics course had significantly greater odds of persisting in STEM majors than those who did not, demonstrating the importance of early mathematics support to increased STEM major persistence.

The Effectiveness Of Growth Mindset Strategies On Off-Task Time In A Special Education Mathematics Classroom, Alisa Marie Ialacci

Theses and Dissertations

The purpose of this study was to investigate the effects of growth mindset strategies on off-task time and attitude in a special education classroom. This research was done using a two-group pretest-posttest design where students with IEPs will be compared to those who do not have IEPs. Student on-task time was monitored prior to the intervention to give a pre-assessment of each student's off-task time. During the intervention, the students' behaviors were observed for signs of improvement. Growth mindset strategies were implemented during each class as needed for improving the overall mood. Overall the results showed a decrease in off-task …

Theory Of Linear Models For Estimating Regression Parameters With Applications To Two-Factor Studies With Unequal Sample Sizes, Zenan Sun

Honors Program Theses and Projects

In this thesis we explored some topics in regression analysis. In particular, we studied what linear regression is from a matrix theory perspective, and applied analysis of variance in a setting with two factors and unbalanced sample sizes. In addition, we applied Box-Cox variable transformation as a solution when the regression model violated the normality and equal variance (also called homoscedasticity) assumption. Our main goal is to use these theories to construct models and investigate questions related to lifetime earnings of people living in America by using real data. In doing so, we used the statistical software R to perform …

Finite Field Dynamics: Exploring Isomorphic Graphs And Cycles Of Length P, Catlain Mccarthy

Honors Program Theses and Projects

For this project, we explore nite eld dynamics and the various patterns of cycles of elements that emerge from the manipulation of a function and eld. Given a function f : Fp ��! Fp, we can create a directed graph with an edge from c to f(c) for all c 2 Fp. We especially consider polynomials of the form f(x) = xd + c and investigate how varying the values of d and c affect the cycles in a given nite eld, Fp. We analyze data to look for graphs that result in cycles of length p. We also identify …

Bounding The Rates Of Convergence Towards The Extreme Value Distributions, James Palmer

Honors Program Theses and Projects

Extreme value theory is a branch of probability which examines the extreme outliers of probability distributions. Three extreme value distributions arise as the limits of the maxima of sequences of random variables with certain properties. In this paper, we will first give information about these three distributions and prove that they are the only limit distributions of maxima. After that, we switch to a discussion about Stein's method. Stein's method is commonly used to prove central limit theorems. Stein's method also develops bounds on the distance between probability distributions with regards to a probability metric. There are three essential steps …

The Challenging Experiences Of The Graduate Mathematics Teaching Assistant, Zoe Cramer

Master's Theses

This study investigates the challenges that beginning graduate mathematics teaching assistants (MTAs) face and suggests possible solutions to aid in their transition to teaching. Interviews and surveys were conducted with both beginning and experienced MTAs to better understand their experiences.

Women Not Welcome: A Study Of Gender Inequality And Leadership In Stem, Stephanie Eikermann

M.A. in Leadership Studies: Capstone Project Papers

Despite societal advancements in gender equality within the workplace, the science, technology, engineering and mathematics fields continue to be male-dominated today. Not only is there a disparity between women and men in these workplaces, women have been made to feel unwelcome in the STEM industries by the masculinized culture that characterizes these companies and organizations. This masculinized culture brings negative gender ideologies about the female gender which includes stereotypes that doubt the competence and abilities of women. When this masculinized culture is threatened by the presence of women, male employees have the tendency to respond emotionally in ways that alienate …