Education Commons^™

Analyzing The Impact Of An Informal Mathematics Teaching Experience On Preservice Teacher Mathematics Teaching Self-Efficacy, Kayla Fruth

Honors Projects

A teacher’s sense of efficacy is their belief in their capability to successfully accomplish a specific task. Teachers with a high sense of efficacy exert more effort, persistence, and commitment to teaching, which leads to higher student achievement and attitudes. The purpose of this study is to determine how participation in an informal mathematics teaching experience impacts preservice teachers’ sense of mathematics teaching self-efficacy. This research was conducted at one informal mathematics teaching experience, during which, all participants completed pre-surveys and post-surveys rating their mathematics teaching self-efficacy using the MTEBI. Later, some participants were interviewed to gain insight into their …

Examining The Change In Preservice Mathematics Teachers’ Conceptions And Effectiveness Of Social Justice Content, Gregory A. Downing, Brittney L. Black

Journal of Research Initiatives

This study examined preservice teachers' perceptions of teaching mathematics using social justice topics to make mathematics accessible to all students. Situated at a large, public, predominantly White institution in the southeast United States, where preservice teachers are not required to take a course on teaching diverse populations, participants were asked to respond to questions surrounding their experience with a mathematical social justice activity adapted from Gutstein and Peterson (2005). Using a mixed methods approach in analyzing data from pre-and post-surveys, researchers could compare preservice mathematics teachers' initial views of teaching mathematics for social justice after participating in an intervention/activity on …

In Their Words: Prospective Teachers' Experiences As A Context For Investigating Their Views Of Authority In A Mathematics Classroom, Brenda Lynn Rosencrans

Dissertations and Theses

Mathematics teacher educators enact inquiry-based preparatory courses with the underlying expectation that their students (prospective teachers) will take ownership (authority) of their mathematical learning through sharing their ideas and collaboratively discussing the reasonableness of their shared ideas. Yet, prospective teacher' expectations are often not yet in alignment with those of mathematics teacher educators, instead they enter these courses expecting their instructors to provide clear examples and directions for how to solve mathematics problems. This project investigates this dynamic through an authority lens, seeking to understand and characterize different views of authority prospective teachers hold and the impact these views have …

Connecting Confidence To College Mathematics And High School Ability Tracks, Kaleb Wourms

Honors Projects

Ability tracking within mathematics education is commonplace in American high schools. Some feel that students’ ability tracks act as a predictor for their success in university mathematics. Research has shown that many factors, such as socioeconomic status and more, have substantial effects on student success. The purpose of this study was to further investigate variables related to success in university mathematics. Confidence in mathematics is one factor in student performance that is particularly under-researched. This research investigated the relationship between ability tracking in high school mathematics, student confidence level, and performance in university mathematics. Data was gathered via a survey. …

Investigating Boredom Within The Context Of Sixth-Grade Mathematics Classes, Tammy S. Judkins

Graduate Research Theses & Dissertations

This dissertation examined how the perception of the achievement-emotion of boredom impacted the academic agency of sixth-grade mathematics students. The study for this dissertation was completed during the Covid 19 pandemic. Through an explanatory sequential mixed methods study, sixth-grade mathematics student volunteers from a Midwest middle school responded to survey items on achievement-emotions as well as shared their perspectives about their perception of boredom in three mathematics settings: classroom, studying and/or independent learning, and testing. Eleven of the 69 sixth-grade mathematic students participated in three rounds of data collection: the AEQ-M Survey, homogenous focus group discussions, and individual interviews. A …

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.

Community Roles For Supporting Emerging Education Researchers, Christopher A. F. Hass, Emilie Hancock, Samantha Wilson, Shams El-Adawy, Eleanor C. Sayre

Mathematics Faculty Scholarship

DBER attracts many faculty from other STEM disciplines, and these faculty have little or no specific training in DBER. DBER requires a mastery of quantitative, qualitative, and/or mixed methodologies, and also a nuanced understanding of breadth of topic, research questions, and theoretical frameworks. This interdisciplinarity is particularly challenging for emerging DBER researchers who often switch into DBER with only discipline specific content and research training. As part of a large study about how STEM faculty become involved with DBER, we interviewed a number of emerging DBER faculty about their pathways into DBER. We conducted a thematic analysis of these interviews …

Creating A Democratic Mathematics Classroom: The Interplay Of The Rights And Responsibilities Of The Learner, Priya V. Prasad, Crystal Kalinec-Craig

Democracy and Education

One way in which democratic classrooms can reflect a democracy is by guaranteeing students some inalienable rights; Kalinec-Craig (2017) outlined Olga Torres’s Rights of the Learner (Torres’s RotL) in mathematics classrooms. However, democracies rely not only on citizens’ rights, but on their willingness to take up certain responsibilities as well. We extend this idea to mathematics classrooms to explore the consequences of the interplay of learners’ rights and responsibilities, in the context of the preparation of elementary mathematics teachers. In addition, we explore ways in which learners may overexercise their rights of the learner or opt out of exercising them …

Mathematics Education: Good, Bad, & Ugly, Katie L. Johnson

Department of Teaching, Learning, and Teacher Education: Dissertations, Theses, and Student Research

A thought experiment centering around K-12 mathematics education, and the possible changes that may come about due to the use of technology and social learning.

Interdisciplinary Thinking: Financial Literacy Crosses Disciplinary Boundaries, Marla A. Sole

Publications and Research

Financial literacy is ideally suited to be integrated into mathematics courses and taught in an interdisciplinary manner. Students learn best and are motivated when tackling real-world meaningful questions. This article shares how elementary mathematics was applied to better understand the debate about raising the minimum wage and the United States National Debt. To serve as a guide for other teachers who wish to incorporate financial literacy into their mathematics courses and take an interdisciplinary approach, this article suggests readings, data sets, and pedagogical practices. Students were engaged and enthusiastic to work on problems that challenged their thinking about financial issues.

Understanding Pre-Service Elementary Mathematics Teacher Learning In An Early Lesson Study Experience, Christopher Dennis Nazelli

Wayne State University Dissertations

As the most important in-school factor in student learning, elementary school teachers must be able to offer all students the quality mathematical learning experiences that they deserve; and the opportunities to learn that pre-service teachers (PSTs) encounter during their preparation programs impact their ability to do so. Content courses are crucial components of the mathematical education of elementary teachers and can be sites for the early development of Mathematical Knowledge for Teaching (MKT) (Ball, Thames, & Phelps, 2008). These courses, often taken early in their preparation programs, can provide PSTs opportunities to create a new vision of mathematics, build new …

The Differences Between College Readiness And The Type Of Algebra 1 Course Taken By Male And Female Students Attending A Private School In Southwestern Virginia, Christina M. Perdue

Doctoral Dissertations and Projects

Algebra 1 is a foundational course for all higher mathematics. Research suggests taking rigorous math courses earlier in a student’s education increases college readiness which leads to a greater economic impact to the community. The purpose of this quantitative causal-comparative study was to determine if there is a difference between male and female students’ college readiness as measured by the mathematics test scores of the PSAT/NMSQT of students who have taken an Algebra 1 course, designated as either Honors or Non-Honors section, who attend a private high school. Having early indications of college readiness allows students more time to develop …

Dominant And Critical Mathematics: A Multi-Case Study Examining Mathematics Teachers’ Equitable Teaching Practices, Laura Zamudio

FIU Electronic Theses and Dissertations

In the field of mathematics education, it is common for studies to use test scores to examine racial and socio-economic achievement gaps. The results of such studies have influenced mathematics teachers to address issues of equitable access and achievement as part of closing existing gaps (Gutiérrez & Ezekiel Dixon-Román, 2011). However, closing achievement gaps does not mean that equity has been addressed if marginalized students continue to express a cultural disconnect from the field of mathematics (Lubienski & Gutiérrez, 2008).

This qualitative multi-case study seeks to attend to these issues by exploring the understandings of equity and equitable teaching practices …

The Effect Of Using Technology On Students’ Understanding In Calculus And College Algebra, Razieh Shahriari

Graduate Theses and Dissertations

This mixed qualitative and quantitative methods study addressed the effect of technology on college algebra and survey of calculus students’ understanding. This research study was conducted in fall 2016 on eight college algebra classes with a total of 315 students, and in summer 2017, on two survey of calculus classes with a total of 40 students at the University of Arkansas.

Several sources were used to collect data. A pre- and post- student attitude survey was administered during the first and last week of the semester for both college algebra and survey of calculus courses. Students’ scores and paper work …

Mathematics Teacher Developers’ Views Of A Demonstration Class, Ginger Rhodes, Allyson Hallman-Thrasher, Kyle T. Schultz

Education Faculty Articles

This article examines the professional vision of mathematics teacher developers during a professional development experience that featured observations of a content course for elementary teachers. The researchers examined whether these mathematics teacher developers viewed the demonstration class as an analysis class, a site for reflection and analysis, or a model class, an example of teaching to be emulated. Results indicated participants could hold either view and, in some cases, both. Each view provided opportunities for professional growth, but particular aspects of the experience promoted an analysis class view.

We Would If We Could: Examining Culturally Responsive Teaching Self-Efficacy In A Middle School Mathematics Methods Course, Jamaal R. Young, Jemimah L. Young, Brandon L. Fox, Earl R. Levingston Jr., Alana Tholen

Northwest Journal of Teacher Education

Despite mounting evidence of the pedagogical importance of culturally responsive teaching, many teachers do not implement culturally responsive practices in their classrooms. The purpose of this study was to investigate pre-service mathematics teachers’ culturally responsive teaching and outcome expectancy in order to inform teacher preparation in mathematics methods courses. Participants completed the Culturally Responsive Teaching Self-efficacy Scale (CRTSE) and the Culturally Response Teaching Outcome Expectancy (CRTOE) Scale. Results suggest that middle school mathematics teachers were only moderately efficacious in their ability to implement culturally responsive teaching practices, despite strong beliefs in the instructional utility of culturally responsive teaching practices.

Examining General Educators' Instructional Practices Teaching Mathematics To K-8 Students With Disabilities, Kendra Michelle Cumberland

Walden Dissertations and Doctoral Studies

A disparity in the mathematics performance between students with disabilities (SWDs) and students without disabilities in K-8 grades in international schools may lead to a lack of opportunities for SWDs to take advanced mathematics classes and enter mathematics-related college programs and careers. This problem may be increased if K-8 teachers of SWDs do not use social-constructivist-based practices needed for effective mathematics teaching. The purpose of this bounded qualitative exploratory case study was to explore the constructivist-based practices teachers applied in the mathematics K-8 classrooms for SWDs. Vygotsky's social-constructivism theory was used to guide this study. The research question addressed which …

A Case Study: Number Apps In Preschool, Amy Beth Adkins

UNLV Theses, Dissertations, Professional Papers, and Capstones

iPads are increasingly present in education. This research explores their role developing fundamental mathematics concepts. It investigates preschoolers’ interactions with mathematics apps, and affordances and constraints accessed. It was conducted over fourteen weeks; students played mathematics apps for thirty minutes a week. The qualitative case study design included participants who varied in mathematics and technological skill. Data was collected through assessments, interviews, questionnaires, videotapes, and artifacts. Results determined that students access constraints or affordances based on ability level. Findings indicate iPads are beneficial tools for preschool classrooms. Preschoolers showed an increase in math ability when using iPads.

Exploring Teachers' Self-Efficacy About Technology Use In Learning Design And Student Performance In Mathematics: A Qualitative Study About Math Anxiety, Sandra B. Vorensky

Theses and Dissertations

The purpose of this study was to explore teachers' perceived self-efficacy about mathematics and using educational technology and its influence on lessening students' math anxiety in the classroom. Building upon previous research by Sun and Pyzdrowski (2009), this study examined teachers' beliefs about mathematics and their own ability to use online educational mathematics resources to lessen students' math anxiety, increase self-efficacy and encourage academic achievement. A qualitative research design was used in this study. Data was collected sequentially from teacher observations during math instruction, surveys, and semi-structured interviews with third and fourth grade teachers. Results support previous self-efficacy research about …

Investigating Secondary Students Beliefs About Mathematical Problem-Solving, Mark Prendergast, Cormac Breen, Aibhin Bray, Fiona Faulkner, Brian Carroll, Dominic Quinn

Articles

Many studies over the past thirty years have highlighted the important role of students’ beliefs for successful problem solving in mathematics. Given the recent emphasis afforded to problem solving on the reformed Irish secondary school mathematics curriculum, the main aim of this study was to identify Irish students’ (n = 975) beliefs about the field. A quantitative measure of these beliefs was attained through the use of the Indiana Mathematical Belief Scale, an existing thirty item (five scale) self-report questionnaire. A statistical analysis of the data revealed that students who were further through their secondary education had a stronger belief …

Connecting The Arcs Motivational Model To Game Design For Mathematics Learning, Mario J. Toussaint, Victoria Brown

Transformations

Students’ performance in mathematics at all levels of education have not markedly improved for the past few decades. Stakeholders at tertiary institutions have been attempting to remedy this situation by implementing various types of intervention programs designed to increase students’ success in mathematics courses. Technology has been the primary method adopted by many educators to foster student engagement in mathematics. This paper describes an intervention program that uses the ARCS model to develop a serious game intended to increase students’ motivation and engagement in a mathematics course.

The Impact Of Tracking Students In Mathematics On Middle School Student Achievement Outcomes, David P. Glasner

ETD Archive

The purpose of this study was to explore whether and how tracking structures in mathematics courses at the middle school level relate to differences in achievement between white and black students. This study used propensity score matching to compare the achievement outcomes of students enrolled in advanced mathematics classes, with students of comparable ability and background enrolled in grade-level math classes. The study sample was comprised of 1,510 students. Results from the study show that enrollment in an advanced-math course was associated with statistically significant improvement in math achievement for average-ability students. In addition, study results show that increases in …

Using Data Mining To Model Student Achievement On The 4th Grade Timss 2015 Mathematics Assessment: A Five Nation Sudy, Annette M. Siemssen

Open Access Theses & Dissertations

Data mining has been successfully used by financial and retail companies since the mid-1960's to create predictive models and reveal unexpected relationships. However, it remains underutilized as a tool in educational research. Large-scale standardized assessment programs such as the Trends in International Mathematics and Science Study (TIMSS) provide vast amounts of data with the potential for providing new insights in education. Five nations, the Republic of Korea, the United States, Germany, Kuwait, and Kazakhstan were selected based on General Response Style theory to represent a spectrum of cultural backgrounds, from acquiescent to midpoint to individualistic (Hastedt, D. & van de …

Are English Teachers The First Math Teachers? A Comparison Of English And Mathematics Syntax, Elliott Ostler, Jill Bruckner

Journal of Curriculum, Teaching, Learning and Leadership in Education

Abstract: The narrative presented hereafter will demonstrate the similarities of syntactic systems in formal written English and in generalized systems of standard computational algebra. The argument is made that algebraic systems can be taught using generalizations from written English syntax. This argument will be characterized in three parts: 1) describing the development of axiomatic systems in mathematics, 2) demonstrating the similar structure of the foundational elements used in English and mathematics, and 3) illustrating how mathematical process may be characterized by providing practical examples from written English.

A Path Analysis Exploration Of Teacher’S Effect, Self-Efficacy, Demographic Factors, And Attitudes Toward Mathematics Among College Students Attending S Minority Serving Institution In Face-To-Face And Hybrid Mathematics Courses, Nelson De La Rosa

FIU Electronic Theses and Dissertations

Graduation rates in colleges and universities have not kept up with the increase in enrollment. Lack of mathematics competence is a factor that impairs students from completing higher education studies. This problem is even more pervasive in minority groups. The existing body of research on mathematics education have not favored emerging minority populations in terms of addressing their needs for academic program completion across mode of instruction.

The study analyzed the relationship between type of instruction and the factors underlying students’ attitudes toward mathematics. Further, this study examined the effect of factors underlying the constructs of teacher’s effect and self-efficacy …

A Direct Tex-To-Braille Transcribing Method, Andreas Papasalouros, Antonis Tsolomitis

Journal of Science Education for Students with Disabilities

The TeX/LaTeX typesetting system is the most wide-spread system for creating documents in Mathematics and Science. However, no reliable tool exists to this day for automatically transcribing documents from the above formats into Braille/Nemeth code. Thus, visually impaired students of related fields do not have access to the bulk of study material available in LaTeX format. We have developed a tool, named latex2nemeth, for directly transcribing LaTeX documents to Nemeth Braille, thus facilitating the access of blind students to Science. In order to support the extensive set of Mathematics symbols covered by TeX, we propose some new symbols based on …

Supporting Black And Brown Females’ Stem Identity Construction Through Mathematics Teacher Noticing: A Mixed Methods Study, Carolyn Gardner

Doctoral Dissertations

The current study explores the nature of the relationship between a teacher’s experiences and her pedagogical practices that are oriented to support female students of color identity construction in relation to science, technology, engineering and mathematics (STEM) studies and careers. The narratives and class observations of the female mathematics teacher of color who is a STEM career changer were used to identify ways in which the teacher’s lived experiences supported her mathematics teacher noticing and influenced her adaptive teaching practices. Student surveys and individual student focal interviews were analyzed to assess the students’ perceptions of the teacher’s support and their …

Using “Tapestries” To Document The Collective Mathematical Thinking Of Small Groups, Alayne Armstrong

The Qualitative Report

A challenge in mathematics education research has been to document the complex nature of collective mathematical learning. This paper describes a method of data analysis that offers a visual representation of collective discourse during mathematical tasks. Using data extracts from a study of small groups in a middle years classroom, I color code collective utterances to create a “tapestry,” a type of transcript that offers researchers the ability to move between individual and collective planes of focus during analysis. The nature of collective thinking is revealed by tapestries, including how utterances bump against each other, the role of utterances evolves …

Readin', Writin', An' 'Rithmetic: Literacy Strategies In High School Mathematics, Angela Margaret Principato

Wayne State University Dissertations

Stagnant growth on national standardized tests in mathematics and reading and a focus on disciplinary literacy in the Common Core State Standards in ELA, history/social studies, science, and technical subjects has prompted a resurgence in utilizing literacy strategies in the content areas in high school. While literacy standards in mathematics are not explicitly identified in the Common Core State Standards, there may be a place for the use of literacy strategies in high school mathematics. This study explored the relationships between students’ mathematics and reading achievement scores at a small, suburban high school and the implementation of a school wide …

Teacher Challenges In Implementing Cognitively Demanding Tasks In The Mathematics And Science Classrooms, Angelica Monarrez Monarrez

Open Access Theses & Dissertations

This mixed methods study examines secondary school mathematics and science teachersâ?? understanding of cognitive demand and the challenges in implementing tasks at different levels of cognitive demand. The conceptual framework for this study is grounded on the conception of cognitive demand proposed by Stein, Smith, Henningsen, and Silver (2000), which includes the following levels: memorization (level 1), procedures without connections (level 2), procedures with connections (level 3), and doing mathematics and science (level 4). The study attempts to address the following research questions: 1) To what extent are secondary mathematics and science teachers able to recognize, solve and construct tasks …