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Math Department 2021-2022 Newsletter, Mathematics Department

Mathematics Newsletter

Welcome to our annual Mathematics Department Newsletter. As we are slowly coming out of the pandemic, we were able to resume many of our normal events.

Rural Stem Teachers: An Oasis In The Desert, Ryan G. Zonnefeld, Valorie L. Zonnefeld

Faculty Work Comprehensive List

Teacher preparation programs for STEM education should prepare teachers for all settings, including rural schools. Students across geographic locales show equal interest in STEM fields, but rural students often lack access to highly qualified STEM teachers. UNESCO (2014) notes that the disparity in education between rural and urban schools is a concern of many countries. In the United States, the National Center for Educational Statistics confirms that twenty percent of students are educated in rural schools and the STEM teachers in these schools are often the only STEM expert. These teachers become backbone teachers that set the foundation and direction …

An Investigation Of Mathematics Self-Efficacy, The Sources Of Mathematics Self-Efficacy, And Mathematics Achievement Among Primary School Students In Trinidad And Tobago, Ronald Sinanan

Dissertations

Purpose of the Study

This dissertation addressed two problems in the literature. Firstly, while many study findings have highlighted the critical role of self-efficacy in students' achievement, additional research was needed about the four hypothesized sources that influence the improvement of students' mathematics self-efficacy. Many studies on self-efficacy sources were conducted with measures not closely tied to social cognitive theory and have not demonstrated sufficient reliability. Using the Sources of Mathematics SelfEfficacy Scale, Usher and Pajares (2009) addressed this problem. They suggested several recommendations for future research (Usher & Pajares, 2008b, 2009), including exploring the validity of their scale in …

Determining The Difficulty And Discrimination Parameters Of A Mathematics Performance-Based Assessment, Abraham Gyamfi, Douglas G. Wren

Educational Leadership & Workforce Development Faculty Publications

Performance-based assessment (PBA) is different from traditional testing methods in that PBA presents real-life problems for students to solve by integrating critical thinking with their content knowledge and skills. Implementing PBA regularly in mathematics classes is associated with improved student achievement and motivation to learn; however, there are concerns about the general lack of psychometric data to support the use of performance assessments. To address such concerns, this study applied item response theory to estimate the difficulty and discrimination indices of items that comprised a newly developed mathematics PBA. Data were collected by administering the PBA to 750 senior high …

Mathematical Connections Established In The Teaching Of Functions, Vesife Hatisaru

Research outputs 2022 to 2026

This study explores the types of mathematical connections established in the classroom in the teaching of functions. An extended model for mathematical connections (different representations (DR), procedural (PC), if-then (I-T), part-whole connections (PWC), feature/property (F/P), analogies, and instruction-oriented connections (IOC)) is used as the analytical framework. The context for the study is classroom observations of two secondary mathematics teachers teaching functions to Grade 9 students. The strength of teachers’ mathematical knowledge for teaching (MKT) the concept of function is different: one has stronger MKT, while the other has weaker MKT. A total of 485 connections are identified in a sample …

Students' Mathematical Reasoning Ability In Solving Post-Covid-19 Pisa Model Math Problems, Linda Linda, Ira Asyura

Jurnal Riset Pendidikan Matematika

This study aims to describe the reasoning abilities of high school students in Pandeglang Regency, Indonesia in solving post-Covid-19 PISA model math problems. The subjects of this study were 80 students of two state senior high schools in Pandeglang Regency, Indonesia. The data collection used a written test consisting of four description questions in the form of PISA model math questions (levels 2, 3, 4, and 5), and were through interviews and documentation. The data analysis followed the steps of data reduction, data presentation, and conclusion drawing. The results show that the reasoning abilities of Pandeglang Regency high school students …

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 …

Participatory Action Research: Undergraduate Researchers Engaging Secondary Students In Social Justice Mathematics, Isabelle Miller, Alexis Grimes, Camryn Adkison

The Journal of Purdue Undergraduate Research

No abstract provided.

Game Based Intervention To Develop Early Childhood Mathematical Understanding And Decrease Gaps Related To Socioeconomic Status, Lydia Flynn

Boise State University Theses and Dissertations

Early mathematical understanding is important for later success in mathematics. Game based interventions can be a successful means by which to help young students to improve their mathematical understandings. The purpose of this study is to examine whether a math game that was to be played at home improved the mathematical understanding of kindergarten students. Kindergarten students, from rural Idaho, were assigned to a group that played math games (n = 15) or a control group that did not (n = 13). The intervention group was given a simple math game and instructed to play 20 times in a …

Examining The Use Of Culturally Relevant Pedagogy In Undergraduate Mathematics Learning Modules With Students Of Color, Thomas A. Mgonja

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

In mathematics, Students of Color have persistently performed lower than their White counterparts, thus creating a need to explore instructional methods that could reduce performance disparities. This study investigated culturally relevant pedagogy (CRP) to understand how it might support students’ mathematics learning in undergraduate mathematics learning modules. The overarching research question focused on how CRP in undergraduate mathematics Learning Modules supported students’ mathematics learning. There were also two main questions that focused on participants’ evaluations of the CRP modules and how those evaluations were reported based on subgroups (Students of Color and White). The researcher employed a sequential explanatory mixed-methods …

Contributions To The Teaching And Learning Of Fluid Mechanics, Ashwin Vaidya

Department of Mathematics Faculty Scholarship and Creative Works

This issue showcases a compilation of papers on fluid mechanics (FM) education, covering different sub topics of the subject. The success of the first volume [1] prompted us to consider another follow-up special issue on the topic, which has also been very successful in garnering an impressive variety of submissions.

As a classical branch of science, the beauty and complexity of fluid dynamics cannot be overemphasized. This is an extremely well-studied subject which has now become a significant component of several major scientific disciplines ranging from aerospace engineering, astrophysics, atmospheric science (including climate modeling), biological and biomedical science …

A Systematic Review Of The Quality Of Reporting In Mathematics Meta-Analyses For Students With Or At Risk Of Disabilities Coding Protocol, Gena Nelson

Early and Special Education Faculty Publications and Presentations

The purpose of this document is to provide readers with the coding protocol that authors used to code 22 meta-analyses focused on mathematics interventions for students with or at-risk of disabilities. The purpose of the systematic review was to evaluate reporting quality in meta-analyses focused on mathematics interventions for students with or at risk of disabilities. To identify meta-analyses for inclusion, we considered peer-reviewed literature published between 2000 and 2020; we searched five education-focused electronic databases, scanned the table of contents of six special education journals, reviewed the curriculum vitae of researchers who frequently publish meta-analyses in mathematics and special …

Formative Assessment And Technology In The Mathematics Classroom, Albert Humes

Master's Theses & Capstone Projects

This literature review investigates the use of formative assessment and technology in the classroom. There has been research to show that mathematics proficiency has dropped recently in the United States and researchers are looking to identify new strategies for student growth. Utilizing formative assessments, as well as targeted, immediate feedback for students, can help to improve student learning. As educational technology becomes more prevalent, more studies and research are focused around its effectiveness toward student achievement. The research found that formative assessment strategies, coupled with new technologies, can positively impact student achievement.

Developing An Inquiry-Based Laboratory Project For Chem 142l Course At Bsu, Manuel Pina

Honors Program Theses and Projects

In addition to content knowledge, critical and independent thinking, scientific reasoning, and problem-solving skills are essential in preparing next generation of successful workforce. Since one of the biggest advantages of STEM disciplines is a “must-have” hands-on laboratory experience, it is intuitive to exploit this learning space to reinforce afore-mentioned skills. In this context, project-based (PBL) or inquiry-based (IBL) laboratory experiences are rapidly becoming mainstream pedagogical choice for many STEM instructors across United States.^[1-4] PBL, and IBL are learning experiences that offer students an opportunity to experience realistic scientific process of discovery through carefully designed inquiry-driven and/or open-ended investigative laboratory …

The Effects That A Flipped Classroom Has On Engagement And Academic Performance For High School Mathematics Students, Jordan Geraets

Dissertations, Theses, and Projects

Flipped classrooms continue to spark educator’s attention and curiosity as an alternative to the traditional teaching and engagement in a classroom, especially during the time of a global pandemic. New, innovative technology has allowed for educators to be able to evolve their classrooms into new learning environments. Research into how flipped classrooms can impact mathematics classrooms and how students engage and perform differently than in a traditional mathematics classroom was expanded on in this study to determine what benefits there could be for students and how effective the teaching model can be in a class where students often struggle. As …

An Exploration Of Manipulatives In Math Education, Jade Monte

Honors Program Theses and Projects

Pre-existing literature has shown that the education system needs to re-evaluate mathematical teaching practices in a manner that can boost students’ confidence in mathematics. Thus, the research is to investigate the use of manipulatives in reducing students’ anxiety by increasing their learning experience and engagement in mathematics. Furthermore, the purpose of this thesis is to explain the interconnectedness of math manipulatives, student engagement, and problem-solving. An in-depth literature review is conducted, which contains definitions, important benefits and methodologies of manipulatives, as well as the teacher’s role regarding these three terms. When manipulatives, student engagement, and problem-solving are in harmony, students …

Stem Education In The Early Childhood Classroom, Julia Biagiotti

Honors Program Theses and Projects

This qualitative study focuses on the type of STEM education students are getting at the early childhood level (PK-2). Based on gaps found in literature, an interview protocol was created and six participants with various careers in the field of STEM education were interviewed. The research was concentrated on trying to determine what components of STEM education make it successful in the early childhood classroom. All of the interview responses were analyzed and coded and determined the results found below. A few integral parts of a successful STEM education seem to be curiosity, asking questions and a hands-on component, but …

Qualitative Analysis Of Corequisite Instruction In A Quantitative Reasoning Course, Zachary Beamer

Inquiry: The Journal of the Virginia Community Colleges

In corequisite models of instruction, marginally prepared students are placed directly into college-level coursework, taught with a paired support course. Initial research suggests that such models yield significant improvements in the number of students passing credit-level mathematics when compared to previous models of prerequisite remediation. The present study employs qualitative methods to investigate methods of instruction at one community colleges to understand how instructors identify and respond to student needs. It concludes with recommendations for practice and highlights advantages of small format corequisite classes taught by the same instructor.

Middle School Students' Reported Self-Regulation Strategies In Completing Online Mathematics Homework, Pepper Erlinger

Boise State University Theses and Dissertations

The purpose of this qualitative descriptive case study is to benefit our understanding of the potential of online homework as it relates to developing and supporting students’ self-regulated learning (SRL). This descriptive case study explores the use of self-regulated learning (SRL) strategies reported by students in the context of completing online mathematics homework (OHW). Eighth-grade students (10 total) from a traditional middle school were interviewed using a validated data collection instrument, the Self-Regulated Learning Interview Schedule or SRLIS (Zimmerman & Martinez-Pons, 1986, 1988). Students’ open-ended responses were interpreted using a framework of self-regulation theory and coded using 14 self-regulation strategies …

At The Top Of The Chart: A Composite Counterstory Of Black Students’ Mathematical Success, Joslyn N. Richardson

Dissertations

Mathematics as a discipline has ignored the experiences of African American students, making it difficult for them to develop strong mathematical identities and racial identities in relation to math. Black children and their academic achievements are often framed negatively, and underachievement and failure are often emphasized over their brilliance and resilience. This qualitative study adds to the limited body of knowledge by examining student perspectives and socialization factors that contribute to positive math identity and achievement in middle school students. Using a Critical Race Theory framework, data was collected through semi-structured interviews and math autobiographies that were structured around the …

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 …

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.

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) …

Increase Enrollment Of Underrepresented Students In Advanced Mathematics Classes: A School Improvement Plan, Sarah Dougherty

Master's Theses & Capstone Projects

Providing minority students with the opportunity to engage in advanced mathematics courses affords them access to more engaging learning opportunities, increased motivational beliefs towards mathematics, and potentially higher future earnings dependent on the career they pursue. Examining the present enrollment statistics in math courses at the research site, the need to transform the enrollment in advanced math courses to represent the school population demographics is revealed. In response, a school improvement plan was developed using research-based initiatives. This plan includes teaching a mixture of advanced and non-advanced math courses, teachers advising non-AP and non-IB students to enroll in advanced math …

Lessons Learned From Creating Videos For Online Video-Based Instructional Modules In Mathematics Teacher Education, Patrick R. Lowenthal, Laurie O. Cavey

Educational Technology Faculty Publications and Presentations

Video can be a powerful tool, with a long history of use in teacher education. Despite the increased popularity of using video in teacher education over the years, questions remain about effective ways to create and use video in online video-based instructional modules. Given this, in this paper we describe some lessons learned creating videos for online video-based instructional modules for secondary mathematics teacher candidates, as a part of a National Science Foundation (NSF) IUSE program (Award No. 1726543) funded project. We specifically focus on how we recorded interviews with middle and high school students, and iteratively developed the online …

Math Department 2020-2021 Newsletter, Mathematics Department

Mathematics Newsletter

This was an unusual year for our department as the coronavirus pandemic continued. However, we made the best of the situation and did as many activities as we could -- In the Fall, we inaugurated our new math major with three tracks: the traditional track, actuarial science track, and data science track -- Faculty changes -- Graduating seniors -- Pi Mu Epsilon Induction Ceremony and Awards Night -- Alumni Page -- Faculty spotlight -- Noyce grant -- Alumni night -- Coming attractions.

The Effect Of Coding Classes On Mathematics Achievement Of Preschool Students, Ebru Hacer Erbilgin

Walden Dissertations and Doctoral Studies

The problem that inspired this study is that Turkish students’ mathematics rankings on global exams such as The Program for the International Students Assessment (PISA) and Trends in International Mathematics and Science Study (TIMMS) had been below the average for many years, a problem that may have rooted in children’s early experiences with mathematics. The purpose of this quantitative pretest posttest quasi-experimental control group study was to determine the effect of computer-programming classes with Code Studio on mathematics scores of preschool students. Siemens’s connectivism theory for the digital age formed the foundation for this research. A single research question regarding …

Mathematics Methods For Early Childhood, Janet Stramel

All Open Educational Resources

This book is for the early childhood pre-service teachers, which includes the period from infancy until eight years of age. Mathematics skills must be taught in early childhood and children should be provided a foundation to succeed in elementary school and beyond.

Mathematics Methods for Early Childhood was designed to help early childhood teacher candidates develop an understanding of why lessons in early childhood should focus on mathematics in order to help children be successful. Young children are naturally curious, and the best time to begin mathematics is at a time while the young child's brain is rapidly developing. Mathematics …

Teacher Understanding Of Instructional Strategies In Elementary Mathematics, Erica Boatwright Glover

Walden Dissertations and Doctoral Studies

Synergizing Elementary School (pseudonym) consistently experiences low state-required mathematics test scores in grades 3 and 4 below district and state proficiency rates in mathematics. The purpose of this qualitative case study was to investigate what instructional practices used by Grade 3 and Grade 4 teachers are, aligned or not aligned, with research-based planning, standards-based instruction, attention to conditions of learning, and professional responsibilities of teachers to support students’ achievement in mathematics. This study's conceptual framework was grounded in Robert Marzano's model of teaching effectiveness called the focus teacher evaluation model. Data for this case study were gathered from semi-structured interviews …

Factors Impacting Students’ Perceptions Of Mathematics, Amber Souza

Honors Program Theses and Projects

I want to be able to present math in a positive light to all of my future students, regardless of race, gender, and math background. However, for teachers as a whole to be able to take this important step, they must first develop a deeper understanding of why math is a sore spot for many students.