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Science and Mathematics Education

Mathematics education

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Secondary Math Teachers’ Responses To Errors In The Classroom, Richie Vicinanza Mar 2024

Secondary Math Teachers’ Responses To Errors In The Classroom, Richie Vicinanza

Honors College Theses

This study was conducted in an effort to find out how modern-day secondary math teachers respond to errors in their classrooms and the reasonings behind their responses. To fulfill the purpose of this study, various methods of research were used to gather information. Methods included looking into the scholarly sources surrounding the topic as well as a primary-conducted study in the field. Participants of this study were high school math teachers. The participants engaged in two semi-structured interviews (an initial and a debrief) as well as an observation that was conducted during one of their classes. Through the initial interview, …


Figured Worlds Of Women Mathematics Education Scholars, Lili Zhou, Jill Newton, Brooke Max, Hyunyi Jung, Lindsay M. Keazer, Bimi Kumari Sapkota, Ricki L. Geller-Mckee Oct 2023

Figured Worlds Of Women Mathematics Education Scholars, Lili Zhou, Jill Newton, Brooke Max, Hyunyi Jung, Lindsay M. Keazer, Bimi Kumari Sapkota, Ricki L. Geller-Mckee

Education Faculty Publications

Drawing on the concept of figured worlds (Holland et al., 1998), this project focuses on addressing, responding to, and understanding the self within the figured world of the mathematics education community. Specifically, we examine a group of women with diverse backgrounds in terms of race, class, and cultural contexts, who are engaged in various roles as mathematics education scholars, including teachers, teacher educators, and researchers. Using a dialogical self approach, we facilitate both internal and external discourses, exploring personal histories, narratives, and the development of evolving identities. Our findings reveal that culture and social positions, such as gender, class, and …


Learning To Teach Prospective Elementary Teachers: A Narrative Inquiry Of A Newer Mathematics Content Instructor, Kelsey Quaisley May 2023

Learning To Teach Prospective Elementary Teachers: A Narrative Inquiry Of A Newer Mathematics Content Instructor, Kelsey Quaisley

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

Learning to teach mathematics content courses designed for prospective elementary teachers (PTs) is challenging. Mathematics content instructors must be prepared to not only teach mathematics content, but engage PTs in understanding children’s mathematical thinking strategies, learning trajectories, and misconceptions (Carpenter et al., 1996; Carpenter & Moser, 1982; I et al., 2020). When considering how instructors might best be prepared and supported, however, one must recognize that there is significant variation in the backgrounds and expertise of mathematics content instructors (Masingila et al., 2012; Yow et al., 2016) and little is known about the preparation, knowledge, and experiences of mathematics content …


Classroom Social Support: A Multiple Phenomenological Case Study Of Mathematics Graduate Teaching Assistants’ Decision Making In The Classroom, Brittany Johnson Apr 2023

Classroom Social Support: A Multiple Phenomenological Case Study Of Mathematics Graduate Teaching Assistants’ Decision Making In The Classroom, Brittany Johnson

Department of Mathematics: Dissertations, Theses, and Student Research

Research suggests that support offered by an instructor can have a significant impact on the student experience, both in terms of classroom performance and affective well-being. Research also suggests that there are different types of support that instructors can offer (e.g., emotional support, instrumental support, informational support, and appraisal support). Although such research suggests that students perceive and are affected by these different types of support in different ways, there does not appear to be research surrounding the decision-making process behind instructors offering the support or the extent to which social support is a priority for them in the classroom. …


Pre-Service Elementary Teachers' Framing Of Mathematical Discussions After Problem-Solving Through Mursion™ Simulation, Sezai Kocabas, Melva Grant, Signe Kastberg, Hanan Alyami Jan 2023

Pre-Service Elementary Teachers' Framing Of Mathematical Discussions After Problem-Solving Through Mursion™ Simulation, Sezai Kocabas, Melva Grant, Signe Kastberg, Hanan Alyami

Teaching & Learning Faculty Publications

Research on pre-service teachers' discussion practices has focused on decompositions of practice into subskills, while acknowledging the importance of the role of context, identity, and relationships between interactive moves. We focused on 66 elementary preservice teachers' (PSTs') framing-launching moves in discussions after problem-solving in a MursionTM custom simulation. PSTs used five moves: gathering information about student processes, focusing on problem features, task and non-task oriented social interactions, and partner talk. Empirical findings of PSTs' intentions and tacit actions coupled with study findings of the diversity in PSTs' framing moves, highlight the complexity of teacher decision making involved in discussion subsills …


Teaching Mathematics With Technology: Tpack And Effective Teaching Practices, Christopher R. Rakes, Michele L. Stites, Robert N. Ronau, Sarah B. Bush, Molly H. Fisher, Farshid Safi, Siddhi Desai, Ashley Schmidt, Janet B. Andreasen, Jon Saderholm, Lisa Amick, Margaret J. Mohr-Schroeder, Julian Viera Feb 2022

Teaching Mathematics With Technology: Tpack And Effective Teaching Practices, Christopher R. Rakes, Michele L. Stites, Robert N. Ronau, Sarah B. Bush, Molly H. Fisher, Farshid Safi, Siddhi Desai, Ashley Schmidt, Janet B. Andreasen, Jon Saderholm, Lisa Amick, Margaret J. Mohr-Schroeder, Julian Viera

Science, Technology, Engineering, and Mathematics (STEM) Education Faculty Publications

This paper examines how 17 secondary mathematics teacher candidates (TCs) in four university teacher preparation programs implemented technology in their classrooms to teach for conceptual understanding in online, hybrid, and face to face classes during COVID-19. Using the Professional Development: Research, Implementation, and Evaluation (PrimeD) framework, TCs, classroom mentor teachers, field experience supervisors, and university faculty formed a Networked Improvement Community (NIC) to discuss a commonly agreed upon problem of practice and a change idea to implement in the classroom. Through Plan-Do-Study-Act cycles, participants documented their improvement efforts and refinements to the change idea and then reported back to the …


Timss 2019 Australia. Volume Ii: School And Classroom Contexts For Learning, Sue Thomson, Nicole Wernert, Sarah Buckley, Sima Rodrigues, Elizabeth O'Grady, Marina Schmid May 2021

Timss 2019 Australia. Volume Ii: School And Classroom Contexts For Learning, Sue Thomson, Nicole Wernert, Sarah Buckley, Sima Rodrigues, Elizabeth O'Grady, Marina Schmid

TIMSS 2019

This is the second of two reports that look at the results of TIMSS 2019 and Australia’s performance. Volume I focuses specifically on the achievement results, detailing Australia’s results within the international context, and presents results for the Australian jurisdictions, and for the different demographic groups within Australia, including male and female students. This report, Volume II, presents the results from the contextual questionnaires, and examines the contexts in which learning and achievement occur, including home, school, and classroom contexts, as well as student attitudes. Each chapter focuses on different indicators that cover the school community, the school learning environment, …


Creating A Culturally Relevant Statistics Assignment On Z-Scores, Grace Pai Jan 2021

Creating A Culturally Relevant Statistics Assignment On Z-Scores, Grace Pai

Publications and Research

Culturally relevant teaching or pedagogy has become increasingly popular both in practice and in research, but there are still few curricular resources for instructors to use, particularly for a college-level mathematics course. Departing from the question “relevant to whom,” this article illustrates how to design a statistics assignment on z-scores that is culturally relevant to students based on their prior experiences. Ultimately, the author shares design principles—which includes the importance of considering student trauma—that can be transferable to any statistics or quantitative analysis/reasoning class.


Mathematics Anxiety: Supplementary Materials, Sarah Buckley Oct 2020

Mathematics Anxiety: Supplementary Materials, Sarah Buckley

Student learning processes

This publication contains two professional development activities for teachers which focus on mathematics anxiety. One is a team-based activity and the other is an activity for individuals. The activities encourage both mathematics teachers and non-mathematics teachers to reflect on their current practice, their attitudes towards mathematics, their ideas about teaching mathematics and the mathematical beliefs of students.


Mathematics Anxiety, Sarah Buckley Oct 2020

Mathematics Anxiety, Sarah Buckley

Student learning processes

This Mathematics Monograph is focussed on helping teachers and school leaders gain a better understanding of: How mathematics anxiety negatively impacts learning and teaching; the symptoms, causes and companions of mathematics anxiety; the difference between reducing mathematics anxiety directly and indirectly; and strategies that can identify and address mathematics anxiety in students and teachers. The Monograph is intended to present information for reflecting and planning how mathematics anxiety can be reduced and regulated in classrooms and in the school community.


Critical Connections Between Numeracy And Mathematics: Supplementary Materials, Dave Tout Oct 2020

Critical Connections Between Numeracy And Mathematics: Supplementary Materials, Dave Tout

Student learning processes

This publication contains three professional development activities targeted at teachers of mathematics. The activities for both groups and individuals focus on the challenge of word problems in maths and connecting maths to the real world. Also included are references, materials and resources related to the issue of the connections between numeracy and mathematics.


Critical Connections Between Numeracy And Mathematics, Dave Tout Oct 2020

Critical Connections Between Numeracy And Mathematics, Dave Tout

Student learning processes

Increasingly research is showing that life and work in the 21st century is requiring higher levels of mathematics and numeracy of its citizens. Numeracy and mathematics are intrinsically connected and BOTH are needed in our ever changing, globalised and technological world. This paper looks at the implications of this for the skills we want our students to develop and leave school with, and how we can better address these in our teaching and learning.


Patterns, An Approach To Learning Algebra And Developing Mathematical Thinking In Primary School In Honduras, Johana Elizabeth Thomas Zapata, Alejandra Cáceres Jul 2020

Patterns, An Approach To Learning Algebra And Developing Mathematical Thinking In Primary School In Honduras, Johana Elizabeth Thomas Zapata, Alejandra Cáceres

English Language Institute

No abstract provided.


Secondary Mathematics Teachers' And Students' Approaches To Engagement And Motivation For Mathematics Learning In The Classroom, Leenah Bouzid Mar 2020

Secondary Mathematics Teachers' And Students' Approaches To Engagement And Motivation For Mathematics Learning In The Classroom, Leenah Bouzid

Honors Theses

Engagement and motivation in a mathematics classroom is an issue that educators and researchers continually examine and analyze to understand and develop ways to maintain or increase. The main goal of this thesis research project is to gain insight and understand what engagement and motivation means in a mathematics classroom by examining secondary mathematics teachers and students. The literature from researchers and educators describe components that contribute to engagement and motivation such as mathematical disposition, which is the attitudes and beliefs towards the subject and learning the subject, self-efficacy, which is about the student’s belief in one’s own capabilities, intrinsic …


The Gentle Man Who Taught Infinity, Sheshagiri K.M. Rao Jan 2020

The Gentle Man Who Taught Infinity, Sheshagiri K.M. Rao

Teacher India

Sheshagiri KM Rao describes the non-conventional teaching methods of his high school mathematics teacher Channa who helped students to discover the beauty in mathematics.


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 Jan 2019

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

Faculty Publications

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.


Mathematics Teacher Educators' Exploring Self-Based Methodologies, Elizabeth Elizabeth, Signe E. Kastberg, Dana Cox, Jennifer Ward, Olive Chapman, Melva R. Grant Jan 2019

Mathematics Teacher Educators' Exploring Self-Based Methodologies, Elizabeth Elizabeth, Signe E. Kastberg, Dana Cox, Jennifer Ward, Olive Chapman, Melva R. Grant

Teaching & Learning Faculty Publications

Historically underused methodologies in mathematics teacher education such as narrative inquiry, self-study, and autoethnography (i.e., self-based methodologies) are becoming a more frequent choice of mathematics teacher educators (MTEs). This has opened new challenges for MTEs as they try to disseminate their findings in mathematics education journals. Building from our working group at PME-NA 2018, we respond to the need for creating spaces (communities) where MTEs can feel supported in their study design, implementation, representation of findings, and publication using self-based methodologies. This year, we shift our focus from discussion to mentoring and scholarship on self-based methodologies. We invite MTEs with …


Between Paralysis And Empowerment: Action In Mathematics For Social Justice Work, Lidia Gonzalez Nov 2018

Between Paralysis And Empowerment: Action In Mathematics For Social Justice Work, Lidia Gonzalez

Publications and Research

In this article, I focus on my experiences teaching a seminar in critical pedagogy and the math for social justice (MfSJ) work that grew from of my students’ reflections as to how they might promote change towards justice. The course was designed to acquaint students with the research literature in critical pedagogy as we explored the social, political, cultural, and economic realities around our system of public education. Yet there came a point where students questioned the value of such exploration as they genuinely considered what to do next. I, too, struggled both to support the students I was working …


Examining Ec-6 Pre-Service Teachers' Perceptions Of Self-Efficacy In Teaching Mathematics, Tonya D. Jeffery, Lisa D. Hobson, Sarah J. Conoyer, Karen E. Miller, Lesley F. Leach Aug 2018

Examining Ec-6 Pre-Service Teachers' Perceptions Of Self-Efficacy In Teaching Mathematics, Tonya D. Jeffery, Lisa D. Hobson, Sarah J. Conoyer, Karen E. Miller, Lesley F. Leach

Faculty Publications

Mathematics teacher quality has become a major focus in national education reform efforts. In addition, there is an increasing interest in the effectiveness of teacher preparation programs and the undergraduate preparation of elementary mathematics teachers. Empirical evidence suggests that teacher attitudes, behaviors and values, or dispositions, towards teaching have a significant impact on student outcomes. The purpose of this study is to survey juniors and seniors in an undergraduate teacher preparation program to gauge their perceptions of self-efficacy and comfort with teaching mathematics. The results have implications for, and reaffirm concerns about the undergraduate preparation of elementary mathematics teachers.


“Indefensible, Illogical, And Unsupported”; Countering Deficit Mythologies About The Potential Of Students With Learning Disabilities In Mathematics, Rachel Lambert May 2018

“Indefensible, Illogical, And Unsupported”; Countering Deficit Mythologies About The Potential Of Students With Learning Disabilities In Mathematics, Rachel Lambert

Education Faculty Articles and Research

This paper describes two myths that circulate widely about the potential of students with Learning Disabilities to learn mathematics: (1) that students with Learning Disabilities cannot benefit from inquiry-based instruction in mathematics, and only from explicit instruction; and (2) that students with Learning Disabilities cannot construct their own mathematical strategies and do not benefit from engaging with multiple strategies. In this paper, I will describe how these myths have developed, and identify research that counters these myths. I argue that these myths are the unintended consequences of deficit constructions of students with Learning Disabilities in educational research. Using neurodiversity to …


How Readability Factors Are Differentially Associated With Performance For Students Of Different Backgrounds When Solving Mathematics Word Problems, Candace Walkington, Virginia Clinton, Pooja Shivraj Apr 2018

How Readability Factors Are Differentially Associated With Performance For Students Of Different Backgrounds When Solving Mathematics Word Problems, Candace Walkington, Virginia Clinton, Pooja Shivraj

Educational Foundations and Research Faculty Publications

The link between reading and mathematics achievement is well known, and an important question is whether readability factors in mathematics problems are differentially impacting student groups. Using 20 years of data from the National Assessment of Educational Progress and the Trends in International Mathematics and Science Study, we examine how readability factors – such as length, word difficulty, and pronouns – interact with student background characteristics – such as race/ethnicity, mathematics achievement, and socioeconomic status. Textual features that make problems more difficult to process appear to differentially negatively impact struggling students, while features that make language easier to process appear …


Seeing Mathematics Through Different Eyes: An Equitable Approach To Use With Prospective Teachers, Christa Jackson, Cynthia E. Taylor, Kelley Buchheister Jan 2018

Seeing Mathematics Through Different Eyes: An Equitable Approach To Use With Prospective Teachers, Christa Jackson, Cynthia E. Taylor, Kelley Buchheister

Department of Child, Youth, and Family Studies: Faculty Publications

Teacher educators need to prepare prospective teachers by encouraging them to critically examine their current beliefs about the teaching and learning of mathematics while also providing opportunities for prospective teachers to develop an equity-centered orientation. Attending to these practices in teacher preparation programs may help prospective teachers observe actions that occur in classrooms and determine effective strategies that provide the opportunity to enhance all students’ access to high-quality mathematics instruction. As mathematics teacher educators, we must recognize what prospective teachers attend to as they direct their attention to various classroom events and how they relate the events to broader principles …


Assessing Journal Quality In Mathematics Education, Samuel Otten, Ryan Andrew Nivens Jul 2017

Assessing Journal Quality In Mathematics Education, Samuel Otten, Ryan Andrew Nivens

ETSU Faculty Works

Excerpt: In this study, we triangulate the rankings in Table 1 with other measures of journal quality offered through database algorithms.


English Language Learners In The Mathematics Classroom, Julia Mccormick May 2017

English Language Learners In The Mathematics Classroom, Julia Mccormick

Senior Honors Projects

Mathematics is often considered a universal language. Most of us have heard this statement from a math teacher at some point throughout our academic careers. However, for students moving to the United States from another country with minimal fluency in English, this is clearly not the case. They may walk into math class, a subject area in which they may have excelled in their native country, and see the words “polynomial”, “coefficient”, and “differentiate” on the board. Regardless of their experiences in their native language, there are disconnects and cultural differences between languages and skills emphasized that prevents mathematics from …


Walking The Walk: Authentic Science And Mathematics Research Conducted By Preservice And Inservice Teachers, Cherie Mccollough, Tonya D. Jeffery, Kim Moore Apr 2017

Walking The Walk: Authentic Science And Mathematics Research Conducted By Preservice And Inservice Teachers, Cherie Mccollough, Tonya D. Jeffery, Kim Moore

Faculty Publications

No abstract provided.


Assessing Journal Quality In Mathematics Education, Ryan Andrew Nivens, Samuel Otten Feb 2017

Assessing Journal Quality In Mathematics Education, Ryan Andrew Nivens, Samuel Otten

ETSU Faculty Works

No abstract provided.


What’S Brewing? A Statistics Education Discovery Project, Marla A. Sole, Sharon L. Weinberg Jan 2017

What’S Brewing? A Statistics Education Discovery Project, Marla A. Sole, Sharon L. Weinberg

Publications and Research

We believe that students learn best, are actively engaged, and are genuinely interested when working on real-world problems. This can be done by giving students the opportunity to work collaboratively on projects that investigate authentic, familiar problems. This article shares one such project that was used in an introductory statistics course. We describe the steps taken to investigate why customers are charged more for iced coffee than hot coffee, which included collecting data and using descriptive and inferential statistical analysis. Interspersed throughout the article, we describe strategies that can help teachers implement the project and scaffold material to assist students …


Math Is More Than Numbers: Beginning Bilingual Teachers’ Mathematics Teaching Practices And Their Opportunities To Learn, Cathery Yeh Jan 2017

Math Is More Than Numbers: Beginning Bilingual Teachers’ Mathematics Teaching Practices And Their Opportunities To Learn, Cathery Yeh

Education Faculty Articles and Research

In this article, the author provides results from a 3-year, longitudinal study that examined two novice bilingual teachers’ mathematics teaching practices and their professional opportunities to learn to teach. Primary data sources included videotaped mathematics lessons, teacher interviews, and field notes of their teacher preparation methods courses. Findings revealed that the teachers were oriented toward differing views of learning that shaped how they organized students’ learning of language and mathematics during classroom instruction. While both teachers used similar teaching strategies to support students’ development of mathematics specific literacies, there were variances in how the learners were positioned within the classroom …


Toys Redesigned: The Intersection Of Industrial Technology And Service-Learning Principles, Jill Stefaniak, Petros Katsioloudis, Basim Matrood Jan 2017

Toys Redesigned: The Intersection Of Industrial Technology And Service-Learning Principles, Jill Stefaniak, Petros Katsioloudis, Basim Matrood

STEMPS Faculty Publications

To provide students with a situated learning experience that encouraged them to develop creative design solutions, the authors created a service-learning activity that required industrial technology students to apply design principles and procedures to design and develop toys to be given to pediatric patients at a local children's hospital. The following are excerpts from student reflections addressing the technological skills used and key takeaways from the project: * "I was able to use my mechanical skills in this project by knowing how to operate the drill press and by cutting all the pieces that were needed and assembling them." * …


Conceptualizations Of Students With And Without Disabilities As Mathematical Problem Solvers In Educational Research; A Critical Review, Rachel Lambert, Paulo Tan Jan 2017

Conceptualizations Of Students With And Without Disabilities As Mathematical Problem Solvers In Educational Research; A Critical Review, Rachel Lambert, Paulo Tan

Education Faculty Articles and Research

Students with disabilities are often framed as “the problem” and have limited opportunities to engage in standards based mathematics leading to persistent underachievement. In this paper, we investigate a research divide between mathematics educational research for students with and without disabilities, a divide with significant differences in the theoretical orientations and research methodologies used to understand learners. Based on an analysis of 149 mathematics educational research articles published between 2013 and 2015, we found significant differences between articles focused on learners with and without disabilities. For those with disabilities, mathematical problem solving was understood primarily from behavioral and information processing …