Science and Mathematics Education Commons^™

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 …

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 …

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 …

Analyzing The Influence Of Mathematics Intervention Teacher Actions On Students' Mathematics Identities: An Examination Of Bipoc Student Perceptions And Past Learning Experiences., Sydni P. Morris

Electronic Theses and Dissertations

This dissertation examines mathematics education's past and present state in the United States, emphasizing mathematics intervention instruction. This dissertation includes a complex and critical analysis of intervention practices and historical and structural inequities based on race present in these interventions and mathematics education. In combination, it examines the construct of mathematics identities, their role in student success with mathematics, and trends surrounding mathematics education and its impact on populations of students of color. Using Critical Race Theory as an underlying framework and Critical Counter-Narrative as a methodology, it argues a need for marginalized student voices to be present in the …

Impacting African American Student Achievement In The Middle School Stem Classroom By Teaching Mathematics Through Arts Integration And Design Thinking, Robert Lippert, Tjuannia R. Seals

Dissertations

Middle school is a transitional period in which many students experience content-specific teachers, travel between classrooms, and explore extracurricular activity options for the first time. Historically, African American middle school students have not fared well in Science, Technology, Engineering, and Mathematics (STEM) on standardized assessments, performing significantly below their Caucasian counterparts in mathematics and science. From the beginning of their academic careers, a lack of access to quality teachers, excessive use of direct instruction strategies, and a lack of resources in their school communities, contribute to their overall apathy towards the subject matter and factor into their underperformance. As a …

The Perceived Impact Of Project-Based Learning (Pbl) On Middle School Students’ Science, Technology, Engineering, And Mathematics (Stem) Identity And Engagement, Jonathan Olivera

Theses and Dissertations

Despite multiple calls to action, the United States educational system is not producing enough viable contributors in the areas of science, technology, engineering, and mathematics (STEM). These fields continue to grow, and the STEM workforce continues to expand. However, the pool of citizens prepared to enter these professions is not keeping up with the demand. Part of this issue can be attributed to a diminishing interest in STEM by students, particularly during their identity forming adolescent years. Active learning strategies have proven successful in preventing this decline with project-based learning (PBL) being one of the most successful active learning strategies. …

Charter School, Kindergarten–6, Homeschool Parents’ Perceptions, Experiences, And Strategies For Mathematics Instruction, Wendy How Fayard

Walden Dissertations and Doctoral Studies

The research problem for this study was the lack of understanding regarding parents’ perceptions of and experiences with mathematics and instructional strategies for kindergarten through sixth-grade (K–6) students in a charter school, homeschool setting. Dewey’s theory of experience and education was the conceptual framework for the study. In this basic qualitative study, charter school homeschool parents’ perceptions about providing mathematic instruction for K–6 students, experiences with instructing K–6 students in mathematics, and choices and adjustments concerning mathematics teaching strategies were examined. Twelve participants took part in semistructured interviews on the Zoom platform. Their interview responses were analyzed qualitatively using coding …

The Impact Of A K-8 Stem Program On Grades And Student Choice Of Stem And Advanced Mathematics And Science Coursework In High School, Astrid Rodrigues

Dissertations

The demands of today’s workforce call for schools to prepare their students to have problem-solving skills and be critical thinkers and collaborative colleagues. Science, Technology, Engineering, and Mathematics (STEM) learning has been known to cultivate, excite, and promote critical thinking and problem-solving skills in students from an early age.

This study explored the high school course selection of students who had participated in a compulsory Kindergarten to 8^th grade (K-8) STEM program, called Project Lead the Way (PLTW), while in middle school. Specifically, the study compared the number of STEM and advanced mathematics and science courses that students who …

Mindfulness & Mindset: The Winning Combination? The Exploration Of The Unstuck Method® On Developmental Math Students: A Mixed Methods Study, Edite Birnbaum, Edith L. Birnbaum

Graduate Theses & Dissertations

Many students enter colleges having to take non-credit-bearing courses, and many do not pass these courses due to numerous factors, including anxiety and stress, especially in mathematics. Current literature shows how mindfulness-based interventions (Bamber, & Schneider, 2016; Dvořáková et al., 2017; Hidman, 2013; Miller et al. 2019; Regehr et al., 2013) and a growth mindset (Blackwell et al., 2007; Boaler et al., 2018; May, 2009) have a positive effect on student stress, anxiety, and academic success. This mixed-method study focused on the unSTUCK strategy’s impact, a mindfulness-inspired tool, on foundation math students. The unSTUCK strategy is a mindfulness-inspired program. The …

Instructional Strategies And Rigor: Private School Administrator And Teacher Perspectives On Improving Minnesota’S College Mathematic Readiness, Nichelle Guillaume

Education Doctorate Dissertations

Instructional Strategies and Rigor: Private School Administrator and Teacher Perspectives on Improving Minnesota’s College Mathematic Readiness (May 2021)

This qualitative study explored private high school administrator and teacher perspectives on instructional strategies and rigor to improve Minnesota’s college mathematic readiness. Data collection sources for the study included individual interviews, focus groups, and document review. The study produced four emergent themes from the data collected in the individual interviews and focus groups: (a) Importance of Productive Struggle in Mathematic Instruction; (b) Necessary Balance of Mathematical Conceptual Understanding with Skill Acquisition; (c) Connection of Continuous Assessment to Mathematic Content Mastery and (d) …

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 …

The Effects Of Project Lead The Way Launch Curriculum On Elementary Girls’ Perception And Career Interests In Science, Technology, Engineering, And Mathematics, Mina Blazy

Electronic Theses, Projects, and Dissertations

The United States has examined the quality of science, technology, engineering and mathematics (STEM) education since before the turn of the century. STEM educators are still having the conversation around why more women are not joining STEM pathways. Girls and boys as early as birth are curious about the world; through their own lens they learn about gravity from dropping spaghetti on the floor or seeing a small insect on the wall. As children get older they are influenced by the perceptions of their parents and peers.

This study looked at the perception and career interests of girls in STEM …

College Student Changing Attitudes And Beliefs About The Nature Of And Teaching Of Mathematics And Science, Stephen R. Skinner

Graduate Theses and Dissertations

With an estimated 17.3 million STEM jobs in the US, there exists a need for a STEMready workforce that is science literate with positive attitudes and beliefs toward the learning and teaching of mathematics and science (Graf, Fry, & Funk, 2018). However, the US has seen a steady decline in the number of high school students interested in STEM-related fields with only 16% of interested students with proven proficiency in mathematics and science and are ready to enroll in college STEM programs (ACT, 2017; Osborne & Dillon, 2008; Stake & Mares, 2001). With the decline in student interest, the US …

Observations Of A Multi-Component Intervention For Elementary Students With Emotional Behavioral Disorder After Self-Efficacy Coaching, Anna Kristen Bensinger

Graduate Theses and Dissertations

Students with Emotional and Behavioral Disorders (EBD) experience more negative student outcomes compared to other special education disability categories, specifically, higher dropout rates, less access to higher education and incarceration. Mathematically, 73% of students with EBD achieve below the 50th percentile on standardized tests (Wagner, Kutash, Duchnowski, Epstein, & Sumi, 2005). This study focused on the exploration of a multi-component mathematics and behavior intervention targeting student self-efficacy for productive learning behaviors in the general education mathematics classroom setting for elementary students with EBD. Participants for this study were students from two 4th grade classrooms, who have been identified with co-occurring …

Examining Predictor Measures For Students' Testing In The International Baccalaureate Diploma Programme, Shannon Siebe

Ed.D. Dissertations

The purpose of this study was to explore the relationships between both student achievement and growth in 9th and 10th grade English and math courses and achievement on International Baccalaureate English and math exams. The researcher examined student end-of-course exam scores, student growth values, and International Baccalaureate English and math exam scores from an International Baccalaureate World School across 4 graduating cohorts, including 305 students. The researcher concluded that while 9th grade math end-of-course exam achievement does not significantly predict International Baccalaureate math exam scores, student growth in 9th grade math does. The researcher also concluded that Advanced Placement Language …

The Relationship Between Students' Act Math Subscores And High School Math Course Completion In Tennessee, Jacob Carver

Ed.D. Dissertations

In 2009, President Barack Obama and legislators passed the American Recovery and Reinvestment Act (ARRA), which financed the Race to the Top Fund. To receive funding from the Race to the Top, Tennessee educators and legislators implemented the Tennessee Diploma Project in 2009. The Tennessee Diploma Project increased graduation requirements for students in terms of coursework and assessments. Tennessee educators and legislators anticipated the increased graduation requirements would increase students’ achievement and ACT scores (college readiness skills). In mathematics, the graduation requirement increased from three high school math courses to four high school math courses: Algebra I, Geometry, Algebra II, …

The Effect Of Comprehensive Instructional Program On Grades 3-8 Student Achievement, Marcia Shortt

Ed.D. Dissertations

Student achievement and the state Standards of Learning testing was a critical criterion for success for school districts, administrators, and teachers. The researcher in this study investigated the efficacy of the Comprehensive Instructional Program in improving student achievement in reading and mathematics and whether school configuration impacted student achievement. The population consisted of all students in District A in Virginia who took achievement tests in reading and math in 2012-2018. The researcher determined there was a significant difference in reading and math scores between pre‑implementation and post-implementation in grades 3-8 as measured by the Virginia Standards of Learning testing program …

Descriptions Of Differentiated Instruction In Mathematics In A Title 1 School District, Sheril Bulley-Simpson

Walden Dissertations and Doctoral Studies

In an urban Title 1 school district, the average number of Grade 3-5 students who scored proficient or advanced on the state standardized assessment was 37.3% below Grade 3-5 students countywide and 19.4% below Grade 3-5 students statewide. Low mathematics scores may indicate a gap in practice that affects student achievement. The purpose of this descriptive case study was to examine teachers' descriptions of instructional strategies implemented to mediate instruction for students who struggle in mathematics. This study was based on the conceptual framework of Tomlinson's differentiated instruction (DI), a means of accommodating the varied ways that students learn. The …

Improving Mathematical Skill: The Perceptions Of Rural Minnesota Mathematics Educators, Michael Haskins

All Graduate Theses, Dissertations, and Other Capstone Projects

This qualitative phenomenological study is focused on the perceptions of mathematics educators on how to improve mathematical skill in high school students. The main purpose was to describe, recognize, and interpret the lived experience that have allowed educators to achieve the best results for their students. The population for the current study was mathematics educators that were located in a rural Southwest Minnesota city with medium population. These educators were either college educators or middle and high school teachers. The measures that were used to select the participants for the study were that they must hold at least a bachelor's …

Making Sense Of School Reform: A Case Study Of Mathematics And Science Teachers' Sensemaking With One District's Differentiation And Detracking Initiatives, Katelyn Daplyn Skinner

Theses and Dissertations

The purpose of this case study was to examine how individual science and mathematics teachers within a particular high school made sense of a district differentiation effort. A focus on teachers' perceptions and interpretations of this effort was targeted through the theoretical framework of sensemaking. Two of the teachers were present for an initial detracking reform effort, which enabled the researcher to examine their sensemaking of both initiatives.

There were clear differences in the sense that teachers made of the differentiation initiative. Additionally, there were multiple factors that impacted teacher sensemaking; the district initiative was not one of these factors. …

The Influence Of Multiple Representations On Secondary Students' Understanding Of Trigononetric Functions, Mayra Lizeth Ortiz Galarza

Open Access Theses & Dissertations

Trigonometry is a critical subject in mathematics that both high school and undergraduate students need to learn in order to be prepared for advanced mathematics. Despite the importance of trigonometry in the mathematics curriculum, little is known about best practices for teaching trigonometric functions and what difficulties students face when learning the topic. Using a Grounded Theory approach, this Dissertation presents the results of a design study (or teaching experiment) whose purpose was to examine the process by which students constructed the concept of trigonometric functions through multiple representations and how students developed meta-representational competence. The design study involved two …

The Effects Of Integrating Lego Robotics Into A Mathematics Curriculum To Promote The Development Of Proportional Reasoning, Shelli L. Casler-Failing

Legacy Theses & Dissertations (2009 - 2024)

This mixed methods, action research case study sought to investigate the effects of incorporating LEGO robotics into a seventh grade mathematics curriculum focused on the development of proportional reasoning through the lens of Social Constructivist Theory. Quantitative data was collected via pre- and post-tests from the mathematics class of six students. Qualitative data was collected from each of the students as they worked in groups of two to complete purposefully designed investigations, activities, from whole class discussions, and student artifacts. In addition, four students were purposefully chosen to participate as embedded case studies. The quantitative analysis showed development of proportional …

Towards A Unified Theory Of Engineering Education, Oscar Humberto Salcedo

Open Access Theses & Dissertations

STEM education is an interdisciplinary approach to learning where rigorous academic concepts are coupled with real-world lessons and activities as students apply science, technology, engineering, and mathematics in contexts that make connections between school, community, work, and the global enterprise enabling STEM literacy (Tsupros, Kohler and Hallinen, 2009). The purpose of the Dissertation is to develop a unified theory of engineering education based on philosophies of mathematics, science, technology & engineering, and engineering education. Using purposive sampling methods, the Thesis constructs "representative" philosophy statements from the STEM fields based on the criteria of Constructivism, Progressivism, and/or Pragmatism. These statements are …

“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 …

Examining The Influence Of Number Line Fraction Task Characteristics On Student Work, Sharlee Hatch

Boise State University Theses and Dissertations

Research supports the claim that classrooms with teachers who respond to student thinking in the mathematics classroom will see greater student gains and student success (Lamon, 1996; Sleep & Boerst, 2012). The topic of fractions is both difficult to teach and learn, but has important implications on future success in mathematics and in life. This study set out to explore the ways in which student work is influenced by characteristics of number line fraction tasks. By examining task type, number line structure, and number choice this study shares the way these task characteristics influenced student strategies. The relationship between task …

Eighth Grade Mathematics Intervention: Improving Student Self-Esteem And Content Knowledge Of Targeted Mathematic Skills, Stephanie Hart

Dissertations, Masters Theses, Capstones, and Culminating Projects

By eighth grade some students believe they are “not good” and never will be successful at mathematics. Discouraged by poor grades, negative feedback from teachers or demoralized by repeated academic failure, these students disengage from their mathematics classwork. In some cases, mathematics intervention classes are a last chance to get them back on track to qualify for Algebra I in 9^th grade. The purpose of this study is to identify strategies to reengage students by increasing their academic content knowledge in mathematics and boosting their self-esteem and sense of belonging in the school setting. The review of the literature …

Guiding Sixth Grade Language Development In Mathematical Content Acquisition Through Student Centered Siop Instruction, Leah Callister

Dissertations, Masters Theses, Capstones, and Culminating Projects

Mathematics is considered a universal language for students. However, now common core standards require students to explain their conceptual understanding through words, numbers, and verbal explanations. Student proficiency in the universal language is impeded when they do not speak the primary language. It is difficult for the teacher to teach both the academic language and mathematical concepts, when the vocabulary is not accessible to all students. Conversely it is difficult for students to follow the pacing of the class while having to translate and gain a conceptual understanding of the subject. The purpose of this study is to increase student …

A Review Of Secondary Mathematics Textbooks On Families Of Functions, Emily Nyszczy

Williams Honors College, Honors Research Projects

In 2008, twelve commonly used textbooks were studied for their use of technology and content across 5 families of functions: polynomial, rational, exponential, logarithmic, and trigonometric. Since 2008, the Common Core State Standards have been released and many textbook companies have used this as an opportunity to change their textbook content. This study reevaluates new high school algebra and precalculus textbooks across many of the same criterion studied in 2008. Some topics such as increasing and decreasing functions significantly increased their presence in the mathematics textbooks while topics such as sketching graphs has decreased. The reason for this shift in …

Strengthening Elementary Students' Understanding Of Factors, Jordan R. Frotz

Undergraduate Theses, Professional Papers, and Capstone Artifacts

Research on pre-service elementary school teachers’ understanding of the multiplicative structure of the natural numbers demonstrates an under-utilization of unique prime factorization in the identification of a number’s factors. For example, Zazkis and Campbell (1996b) found that a majority of teacher candidates employed trial division to analyze factor-candidates of a number, even when both were presented in prime-factored-form. Recent studies (i.e. Roscoe & Feldman, 2015) have shown that teachers’ understanding of factor can be strengthened by engaging in a sequence of instructional tasks that explore the relationship between a number’s prime factorization and its factors. This study seeks to extend …

Building Depth Of Understanding Of The Concept Of Number Sense And Algebra In Students Grades 7 And 8, Catherine Janes

Dissertations, Masters Theses, Capstones, and Culminating Projects

Mathematics instruction offers both challenges and rewards to students. Teachers tend to focus on transmission of knowledge. Student creativity and problem-solving skills are not typically activated with common teaching practices. When students are engaged in mathematics they are recognizing patterns, making connections on their own, coming up with creative solutions, and discussing mathematical ideas with peers and adults. The purpose of this study was to identify, employ, and evaluate strategies that engage students in these practices and assist them in developing a deep understanding of mathematics concepts such as number sense and algebra.

The review of the literature began with …