Education Commons^™

Plotting For Change: Utilizing Computer-Based Scaffolding Through Desmos To Influence High School Students’ Performance And Attitudes Toward Mathematics, Jennifer Underwood Farmer

Theses and Dissertations

The purpose of this action research was to understand the impact of computer-based instructional scaffolding in Desmos on Math 3 high school students’ performance and attitudes toward mathematics. The demand for societal mathematics literacy has increased significantly over the last decade and continues to grow. To achieve this literacy, students must reason, augment, communicate, model, and problem-solve with technology applications; development of these skills requires engagement and support through technology-rich learning opportunities.

Currently, Math 3 students are not performing at the proficient level on state exams and are displaying negative attitudes towards mathematics. Student attitudes and performance in technology enhanced …

Learning Through Discourse: Impacting Fractional Understanding Through Virtual Discourse, Laurie A. Gentry-Goodale

Theses and Dissertations

There is a strong need for fifth-grade students to become proficient in mathematical problem-solving using fractional computations because it will have a lasting impact on student achievement. Traditionally, mathematics is taught inside a brick-and-mortar classroom, grounded in rote memorization of facts, rules, and formulas. In recent years, more elementary students have enrolled fully in online learning environments, which emphasize on students becoming problem-solvers, specifically in fractional computation. The NCTM strongly encourages using mathematical discourse as an instructional method but employing mathematical discourse, but its applicability to online math learning is not well understood. This study addressed students' problem-solving skills, mathematical …

Designing An Educational Robotics Curriculum To Teach Mathematical Concepts While Fostering A Growth Mindset: A Self-Study, Lauren Harter

Electronic Theses and Dissertations

This study explores the development and implementation of a five-day curriculum designed to enhance students' understanding of algebraic concepts through the integration of educational robotics and growth mindset principles. The study is structured around three research questions that investigate influences on decision-making in curriculum design, the alignment of teaching intents with practices, and the impact of self-study on integrating algebra, robotics, and growth mindset principles. Findings reveal themes focused on the importance of research and collaboration, using the Understanding by Design (UbD) framework, intentional curriculum creation, starting somewhere, personal growth and self-reflection, and experiencing and embodying constructivism in action. The …

Success In Secondary Mathematics Courses, Victoria Klaas

Culminating Experience Projects

According to research, many students struggle to successfully complete required secondary mathematics courses. Not only are these courses require for students to graduate, the courses prepare students to use mathematics in their everyday lives. The demand for careers in the mathematics field continues to grow. Students will continue to miss out on careers in this field if they do not successfully complete their secondary mathematics courses. This project outlines some of the factors affecting student mathematical success and provides an Algebra II unit plan. The unit plan provides guiding lesson plans and other needed materials for teachers to help improve …

The Integration Of Mathematical Concepts In Physics Curriculum, Paige Poindexter

Culminating Experience Projects

Research has shown that students are struggling to grasp mathematical concepts and skills, which carries over to other subjects, such as science. As the need for an improved STEM education approach continues to grow, the use of integration to guide curriculum development has proven to be effective. This project dives into the available research surrounding the overlap of subjects taught in a secondary setting, focusing on the techniques proven to improve student academic success. This project addresses the need to draw clear connections between mathematics and physics courses, with the goal of improving student scores in both areas. The result …

Using Group Work In Mathematics To Introduce Social Justice Concepts: Curriculum To Help Students Learn About Each Other Through Mathematics, Wyatt Ehlke

School of Education and Leadership Student Capstone Projects

This curriculum addresses the research question: What are the best practices for engaging with social justice topics and goals in a modern, constructivism-based mathematics course? The paper documents the reasons why the author chose to approach this question, then consists of a literature review into the topics of constructivism, social justice, and group work. The paper then includes a plan for the construction of curriculum for a precalculus class and ends with a reflection on the curriculum itself. The project consists of a unit planner alongside five lessons, each of which has problems and activities that address this question in …

Comparing Online And Traditional Assessment Practices In Middle School Mathematics, Maxwell Krueger, Kathy Enger

Dissertations, Theses, and Projects

As a result of the COVID-19 pandemic, teachers across the world have been forced to explore different modalities of assessment, many of them virtual. Now that many of the most restricting policies for schools due to pandemic have been lifted, the use of these virtual assessments remain. Due to the recent nature of their use though means that not many studies have looked into the implications of these assessments on students let alone middle school students. This study aims to help fill in some of the gaps in this research. In this study, students will take one of two assessments …

Conceptual Understanding Of Linear Relationships Across Various Mathematics Courses, Melissa Manley

Theses and Dissertations

This cross-sectional study investigated the conceptual understanding of linear relationships for 195 students enrolled in a single school in a large, urban district across five mathematics courses: Grade 7 Math (n = 24), Grade 8 Math (n = 52), Geometry (n = 43), Algebra 1 (n = 31), and Algebra 2 (n = 45). The following questions guided this study: (1) What differences exist in students’ conceptual understanding of linear relationships across mathematics courses? (2) What are common strengths and weaknesses in students’ conceptual understanding of linear relationships?

An assessment was created to assess three constructs of conceptual understanding of …

The Elephant In The Classroom: Understanding Teachers’ Implicit Biases In Grading Student Work In A Mathematics Classroom, Tina Marie Medina

Electronic Theses and Dissertations

This study focused on automaticity or the choices we make without conscious thought. Specifically, the study examined how math teachers improved their understanding of the practice and evolution of culturally responsive teaching by analyzing the lived experiences and metacognition of practicing middle school teachers as they assess student work in mathematics. The potential impact of implicit stereotypes, instructor expectations, assessment design, cultural considerations, and other variables on the grading process was investigated. The purpose of this case study was to uncover teachers’ implicit biases as it relates to grading student work in a middle school math class.

This qualitative study …

Implementing A Multi-Tiered System Of Supports, Hayley Vander Wal

Master of Education Program Theses

This action research project examined the implementation of a multi-tiered system of supports in a math classroom at a private, Christian suburban school in central Iowa. The researcher utilized the four essential indicators of MTSS to support a small group of four students who were the participants in her study. The intervention targeted the seventh grade math skills of simplifying expressions and solving equations using various methods. Analysis of the triangulated data showed growth in each of the students at varied amounts. Findings of the study suggest that students need consistent, protected Tier 2 intervention to make the most significant …

How Relational Instruction And Caring Learning Environments Relate To Mathematics Self-Concept: A Multilevel Investigation Of The High School Longitudinal Study Of Data, Sandra J. Miles

All Graduate Theses and Dissertations, Fall 2023 to Present

The purpose of this research is to look for ways mathematics teachers can increase their students' mathematics self-concept (i.e., achievement, confidence, and interest). Many students avoid taking upper-level mathematics classes or pursuing careers in science, technology, engineering, or mathematics (STEM). However, the need for STEM professionals in the workforce will increase in future years and there is a projected shortage of students who will be trained to fill the demand. This research proposes that mathematics teachers can actively work to improve their students' self-concept by providing a caring and emotionally supportive learning environment as well as providing instruction that builds …

An Expansive Framing Intervention And Its Influence On Nursing Students' Perceptions Of Value For Mathematics, Kimberly Evagelatos Beck

All Graduate Theses and Dissertations, Fall 2023 to Present

Nurses regularly use mathematics on the job, yet they often do not view their work as mathematical. This may indicate a lack of transfer from the nursing school mathematics context to nursing practice. Further, nursing students often perceive very little usefulness and relevance for learning mathematics beyond simple calculations. Expansive Framing (EF) is a theory and instructional technique that has been shown to foster transfer by establishing intercontextuality, or connections made between disparate contexts. This research explored whether creating intercontextuality created through broad framing also improved perceptions of mathematics value and transferability, and how intercontextuality functioned as the driver of …

Returning To School After A Pandemic And The Lived Experiences Of Rural High School Mathematics Teachers On Student Success, Joshua Saúl Silva

Dissertations

Purpose: The purpose of this qualitative phenomenological methodology investigation was to examine and describe rural mathematics teachers’ lived experiences on the effects of the COVID-19 global pandemic on freshman students returning to school after being online for 2 years through the lens of Bandura’s theory of self-efficacy and serves as part of a thematic dissertation with each researcher focusing on different educators in the K-12 school system.

Methodology: Through qualitative methodology utilizing one-on-one interviews of nine rural high school freshman mathematics teachers with 5 or more years of experience before, during, and after the COVID-19 global pandemic, data was analyzed …

Parents' Experiences At A Mathematics Workshop Focused On K-2 Content, Abigail W. Wilkerson

Honors College Theses

Parents’ beliefs towards math have been shown to impact their children’s academic achievement in the subject (Elliott & Bachman, 2018; Maloney et al., 2015). With the constant changing of math standards, the math taught in today’s schools may be different from the way parents were taught math. This change can lead to feelings of discomfort or nervousness when the subject is brought up. A parent workshop geared towards helping parents better understand the way math content is being taught can help them to feel more comfortable with math and more prepared to help their children. To help combat this issue, …

Elementary Educators’ Beliefs And Practices Regarding Explicit Math Vocabulary And Language Instruction, Katherine Lee Berlin

School of Education and Leadership Student Capstone Theses and Dissertations

For the last couple decades, math achievement scores in the United States have remained stagnant or declined. Teachers are searching for ways to improve these scores. Much work has been done on number sense and math talks. But, are these the only tools to consider? What if the very language used to express mathematical knowledge is a key factor in how students gain their learning and ultimately express their thinking? Research has emerged that draws a relationship between explicit math vocabulary instruction and math achievement. While this is well documented, the practice is not commonly seen. Thus, I asked, “What …

The Influence Of The Student-Teacher Relationship On The Mathematics Confidence Of Students, Mary Tracey Plante

School of Education and Leadership Student Capstone Theses and Dissertations

The student-teacher relationship impacts student confidence and achievement. Many factors such as race, gender, language learning, and special education were researched as they influence this relationship. This research focused on using a correlational case study to determine how the student-teacher relationship influences the mathematics confidence of students when social-emotional supports and learning are implemented. Data collection methods involved using a Likert scale and interviews with the teacher. For the students, data collection was a Likert scale, number sense assessment, interviews, and anecdotal notes. The participants were a kindergarten teacher and 18 of her students from a diverse, midwestern suburban school …

Math Educators, Positive Student Mindsets, And Math Centers, Riki Baker

School of Education and Leadership Student Capstone Projects

It is a math educator’s job to help each student develop academic, emotional, behavioral, and social skills in a supportive and rigorous instructional environment. Reinforcing a growth mindset is the pinnacle of successful teaching and learning. However, there are always experiences that deter students from feeling like they can become successful in an area or multiple areas. Instructional time can become feared and mindsets can become fixed. It could even potentially become a lifelong source of trauma. Math is perhaps one of the most notorious content areas that induce feelings of fear, failure, and perpetual condemnation. Teaching strategies play an …

Social-Emotional Learning Skills Embedded Within Math And Reading During The Primary Years, Cassandra Sutherland

School of Education and Leadership Student Capstone Projects

The research question asked in this capstone project was: How can social-emotional learning skills be taught within academic lessons to promote academic progress in primary years? Just like it is necessary to teach reading and math concepts; students need to be explicitly taught social-emotional learning skills. Students should feel a sense of belonging, feel successful and treat others with respect. All of these skills should lead to encountering academic success. This capstone project explores research about the importance of teaching social skills during primary years. The project portion of this capstone is a supplemental curricular resource that includes math and …

Combining The Concrete Representational Abstract Framework And Video Modeling To Increase Basic Addition Skills Among First Grade Students, Sara Ebner

Theses and Dissertations--Educational, School, and Counseling Psychology

Proficiency in mathematics is fundamental for academic success and is linked to numerous skills that are essential for success in the real-world. Despite its importance, many students struggle with math, leading to nationwide declines in math proficiency. This decline highlights the need for effective interventions that are accessible, able to be individualized, and feasible for implementation across settings. In the present study, a single case multiple probe across participants design was used to assess the efficacy of a concrete-representational-abstract (CRA) framework with video modeling intervention on the basic addition problem-solving accuracy of three first-grade students. Results show that participants’ accuracy …

Does Path Matter?: A Quantitative Study Examining Mathematics Course-Taking Patterns And Degree Or Transfer Attainment, Jacqueline Kraus

Dissertations of Practice

DOES PATH MATTER: A QUANTITATIVE STUDY EXAMINING MATHEMATICS COURSE-TAKING PATTERNS AND DEGREE OR TRANSFER ATTAINMENT

Abstract

This quantitative study, guided by Bean and Metzner’s (1985) student attrition model, examined whether mathematics course-taking pattern is associated with a students’ chances of attaining degree or transfer at a community college. Six years of student data from a midwestern community college was used. Descriptive statistics of student course-taking patterns highlighted that more full-time and college level students enrolled in mathematics immediately while part-time and developmental level students delayed their enrollment in mathematics coursework. Contradicting assumptions at the midwestern community college under study, it …

Asynchronous Class For Algebra I Preparation, Hunter Garretson

Williams Honors College, Honors Research Projects

Algebra I is the first high school mathematics class students take making it an important building block in the student’s growing mathematical foundation. Mitigating any losses in knowledge over the summer by using educational review tools has been proven helpful in previous studies. Every student comes from a different background, socioeconomic class, ethnicity, culture, etc., allowing each student to have a different summer experience. A meta-analysis looking into the concern of Summer Learning Loss (SLL) found that while some of its sample size would make summer knowledge gains, more than half of the sample size was projected to suffer from …

A Quantitative Study On The Relationship Between Corequisite Support Courses And College Algebra Success, Kathleen Almy

Dissertations of Practice

Corequisite support courses have been used as an intervention in higher education to improve gateway college math course completion and reduce the time necessary to do so. While a substantial amount of research on the effectiveness of corequisite support exists, it has largely focused on non-STEM courses. This study was designed to further investigate the effectiveness of corequisite support courses but in the context of STEM courses like College Algebra. Specifically, the study explored the role of taking a corequisite version of College Algebra, with and without the consideration of a student’s initial placement, on both the probability of passing …

Defining Success For An Introductory Mathematics Non-Stem Pathway Course, Clark D. Metz

Graduate Theses, Dissertations, and Problem Reports

The enduring debate surrounding college algebra, traditionally a gateway for STEM pathways, underscores the necessity for curricular evolution in response to the rising popularity of non-STEM majors. This dissertation explores the success of an applied college algebra course designed for non-STEM students. The study aimed to determine whether this alternative course could meet diverse student needs while promoting academic achievement and fostering positive attitudes towards mathematics. Findings revealed through a novel approach of a difference-in-differences analysis that students enrolled in the applied college algebra course exhibited higher pass rates due to the introduction of the new course. The lower failure …

Investigating Prodigy Math Program To Improve Students' Success In Mathematics, Justin A. Bledsaw

Masters Theses

This study investigates whether Prodigy improves student achievement in mathematics; whether Prodigy improves, specifically, math achievement of special education students, students of different ethnicities, and students of different genders. Further, the study wanted to explore student perceptions of Prodigy. The study was conducted in two fifth grade classrooms with a total of 31 participants. Two mathematics units were utilized to compare; one on multiplying whole numbers and the other on dividing whole numbers. In addition, participants completed a survey and a focus group interview to find out participant perceptions of Prodigy. Results reveal that the whole group scored higher in …

Social Justice Mathematics: Classroom Practices That Give Students Rigor While Building Agency, Emily Marquise

Masters Theses

The purpose of this study is to examine the impact of a social justice approach to mathematics instruction. While many students have math aversion, students in low socioeconomic communities exhibit this to a higher degree putting them at a disadvantage as they progress through their educational career. More than 3.4 million K-12 students in the United States come from families that earn less than the median income yet achieve scores in the top percentile (Wyner et al., 2007). This raises the question of why so many students in low-socioeconomic settings are not given rigorous content that will keep them competitive …

Student Thinking Driving Collaboration And Teacher Knowledge, Rachel Cheney

Theses and Dissertations

The study in this paper examined how teachers engaged in their structured Professional Learning Community (PLC) time in a manner that focused their work on student mathematical thinking. The participants included two third-grade teachers and two fourth-grade teachers engaged in an alternative PLC process during their collaboration time. Interviews were conducted and focused on how the teachers thought about student thinking as the driving force of their collaboration. The teachers found their PLC time was more focused, student thinking led the discussions and lessons, they were more responsive to student needs, and their own mathematical understanding increased. The teachers also …

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 …

Transforming Mathematics Education With Creativity, Natalie M. Zielinski

Culminating Experience Projects

Mathematics achievement in elementary and middle school students has decreased across the United States since 2019. Research has shown that moving away from traditional lecture-style teaching and implementing creative and application based learning can result in higher academic achievement and engagement. By utilizing challenging curricular tasks, Project Based Learning, and arts integration, students can be presented with more authentic and engaging academic content to deepen mathematical understanding and success. This project explores the benefits and effects of integrating creative teaching strategies into the mathematics classroom as an equitable teaching approach. Through the use of non-scripted curricular tasks, Project Based Learning, …

Perceptions Of Educators On Motivational Strategies Influencing Middle School Students In Mathematics Courses, Amy Rigsby

Electronic Theses and Dissertations

This qualitative study examined educators' perceptions of motivational strategies influencing and motivating middle school students to comprehend and perform in mathematics courses. This study used interview data from 15 participants with 2 to 30 years of teaching experience. Educators may utilize this information in multiple settings within the classroom to influence and motivate students in mathematics courses.

Data collection strategies included one-on-one semi-structured middle school educator interviews. Analysis of data occurred in three phases: (a) categorization of data under the five organizational factors, (b) building the explanation in narrative form, and (c) re-examination of the data. The analysis of the …

Creating First Grade Math Learning Materials In The Chinese Immersion Learning Environment, Huishu Jia

School of Education and Leadership Student Capstone Projects

Math is everywhere in people’s daily lives. It is also a universal subject taught everywhere. Research has demonstrated that math education includes many different components, the most essential mathematical skill for younger learners is to establish their number sense. Students’ math fluency will increase and will develop their math automaticity once they have strong number sense. According to studies, the Mandarin Chinese language helps students effectively master basic mathematical skills due to the uniqueness of the language, such as the pronunciation of each Chinese character, the “base ten” number system, etc. The project involved creating a pacing chart that aligns …