Education Commons^™

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 …

Sustaining At Scale: District Mathematics Specialists’ Adaptations To A Teacher Leadership Preparation Program, Michael Jarry-Shore, Victoria Delaney, Hilda Borko

Curriculum, Instruction, and Foundational Studies Faculty Publications and Presentations

A common approach to scaling up a professional development program is for the researchers who designed the program to prepare teacher leaders to facilitate it at their schools. When researchers eventually leave, however, teacher leaders may receive less support. To ensure that teacher leaders continue receiving support, researchers can prepare district mathematics specialists to assume responsibility for preparing the teacher leaders. Little is known, however, about district mathematics specialists’ role in sustaining, and potentially adapting, professional development programs. We examined district mathematics specialists’ facilitation of an adaptive teacher leadership preparation program. Program sessions were originally facilitated by researchers then by …

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 Innovation Learned From The 2022 Amte Conference: Prepare Future Mathematics Educators, Yi-Jung Lee

TFSC Publications and Presentations

The role of mathematics has transformed from gatekeeper to launchpad in K-12 schools and been considered as a critical factor in career readiness in a diverse society (CDE, 2022). Therefore, teacher education programs must adopt effective teaching approaches with cultural awareness while preparing future mathematics teachers. I shared a revised teaching design framework (Rhodes, 2021) along with the Culturally Responsive Mathematical Modeling perspectives to help educators integrate a) productive disposition, b) the instructional design with modeling tasks, and c) equity-minded practice into their teaching preparation and practices.

Beyond Traditional Teacher Preparation: Value-Add Experiences For Preservice Secondary Mathematics Teachers, Paula Jakopovic, Kelly Gomez Johnson

Teacher Education Faculty Publications

The current pool of highly qualified secondary mathematics teachers is woefully inadequate to address the needs of schools across the United States and other countries internationally. In STEM (Science, Technology, Engineering, Mathematics) areas, providing quality instruction in a changing world requires continuous change and innovation as programs prepare and train teachers. University teacher preparation programs wrestle with ways to provide wider professional experiences (WPE) within social learning environments called communities of practice (CoP). This qualitative study examines a university-led undergraduate scholarship program, aimed at recruiting, training, and retaining highly qualified secondary preservice mathematics teacher candidates. With increased exposure to mathematics …

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.

Mentoring Future Mathematics Teachers: Lessons Learned From Four Mentoring Partnerships, Angie Hodge, Janice Rech, Michael Matthews, Kelly Gomez Johnson, Paula Jakopovic

Teacher Education Faculty Publications

Mentoring is an important aspect of mathematics teacher education, and in particular, pre-service teacher education. Faculty at a large Midwestern university developed and refined a mentoring program designed to help pre-service secondary mathematics teachers, called Scholars, become future leaders in mathematics education. This paper describes how faculty mentors leveraged challenges in the mentoring program’s early stages based on their reflections and initial mentee outcomes to create a more effective mentoring program. Recommendations based on research and practice are provided for other university programs interested in mentoring future mathematics teachers.

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 …

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.

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 …

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.

Dewey, Freire, And Foucault And An Ever-Evolving Philosophy Of (Mathematics) Education, David W. Stinson

Middle and Secondary Education Faculty Publications

In this essay, the author provides a working definition of philosophy from a cultural point of view, and argues the need for mathematics educators to develop their philosophy of mathematics teaching and learning or, to speak more broadly, their philosophy of education. He then historically situates three scholars—John Dewey, Paulo Freire, and Michel Foucault—who have been instrumental in the formulation of his philosophy of education. Next, he shares how the philosophies of these three scholars provide different languages to critique three aspects of education. He concludes with brief discussions on the process of his ever-evolving philosophy of mathematics teaching and …

How Affordances And Constraints Of Physical And Virtual Manipulatives Support The Development Of Procedural Fluency And Algorithmic Thinking In Mathematics, Jennifer Such, Patricia S. Moyer-Packenham

Teacher Education and Leadership Faculty Publications

The purpose of this study was to examine how the affordances and constraints of physical and virtual manipulatives influence the development of students’ algorithmic thinking when learning algebra and rational number concepts. Thirty-six third-grade students participated in two weeks of instruction using physical and virtual manipulatives as instructional tools. The primary design of the study was a teaching experiment in which quantitative and qualitative data were collected to provide a holistic examination. Pre- and post-test items were used in the quantitative analysis following a within-subjects crossover repeated measures design. Students’ written work, a user survey, student interviews, field notes, and …

Changing The Culture: Developing Creative Problem Solvers, Eric L. Mann

Faculty Presentations

Mathematics embraces creativity and beauty yet often our children are immersed in classroom activities where these attributes are hidden by an overemphasis on algorithms, computational speed and known answers that can be found in the back of the book or with a quick Google search. This learning environment creates a false perception of what it means to be “good at math.” From the research we know than many of our elementary school teachers have negative attitudes towards mathematics; an attitude students pick up and adopt which may foster the development of the reluctant, impatient problem solvers we find in our …

What Is Equity? Ways Of Seeing, Christa Jackson, Cynthia Taylor, Kelley Buchheister

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

Prospective teachers must be prepared for their role in providing equitable access for learning high quality mathematics. Therefore, it is imperative that mathematics teacher educators provide opportunities to develop an equity-centered orientation in teacher preparation courses. In this study, we begin to address this issue by identifying what prospective teachers attend to in a classroom vignette of an African American male student who is above grade level in mathematics and exhibits disruptive behavior during instruction. The results of the study indicate that while participants are beginning to attend to cultural influences, most responses are focused on classroom management strategies

Turning Policy Into Practice: A Case Study Examining The Interplay Between Policy, Research, And Program Design In Teacher Education, Ryan Andrew Nivens, Catherine Paolucci

ETSU Faculty Works

Excerpt:This presentation will consider the interplay between policy, international research and the design and development of a new mathematics teacher education program in the Republic of Ireland.

Supporting Student Justification In Middle School Mathematics Classrooms: Teachers' Work To Create A Context For Justificaiton, Megan Staples

CRME Publications

Justification is an important disciplinary and learning practice. Despite a growing knowledge base regarding how teachers orchestrate mathematical discussions, few analyses have considered the orchestration of specific disciplinary practices such as justification. Using classroom video data from the JAGUAR project, we analyze two instantiations of extensive student justification in seventh-grade classrooms and document each teacher’s pedagogical approach that supported students’ engagement in this practice. We argue that, although there was overlap in their pedagogical repertoires, the teachers created a context for student justification in two unique ways. We document the similarities and differences in their approaches, including the nature of …

Implementing Common Core State Standards For Mathematics Through Lesson Study, John Thomas Hall

Honors Program Projects

The Common Core State Standards for Mathematics (CCSSM) represent the beginning of a new era in American education. For the first time, a majority of states are sharing expectations for student knowledge in mathematics. While standards cannot change education, the means by which these standards are implemented contribute to the mathematical achievement of students. For instance, the CCSSM incorporate separate content and practice standards for students. Content standards are familiar to most educators, but the expectation of developing mathematical skills highlighted in the practice standards will require changes to lesson preparation and teaching.

In an effort to provide pre-service and …

A Primer For Mathematical Modeling, Marla A. Sole

Publications and Research

With the implementation of the National Council of Teachers of Mathematics recommendations and the adoption of the Common Core State Standards for Mathematics, modeling has moved to the forefront of K-12 education. Modeling activities not only reinforce purposeful problem-solving skills, they also connect the mathematics students learn in school with the mathematics they will use outside of school. Instructors have found mathematical modeling difficult to teach. To successfully incorporate modeling activities I believe that curricular changes should be accompanied by professional development for curriculum developers, classroom teachers, and higher education professionals. This article serves as an introduction to modeling by …

It Takes A Village: Investigating The Critical Role Clinical Faculty Play In Mathematics Teacher Education, Damon L. Bahr

Faculty Publications

The dispositions of preservice elementary education teachers toward reform-oriented mathematics education were surveyed before and after an extended pre-student teaching practicum. During the practicum, university and school-based personnel served a "clinical faculty" as they supported the preservice teachers' practicum experiences. The preservice teachers' perceptions of the clinical faculty's dispositions were also surveyed. Relationships between changes in the dispositions of the preservice teachers and their perceptions of the clinical faculty were discovered thus highlighting the important influence clinical faculty wield as mathematics teacher educators.

Family-School Partnerships: Promoting Family Participation In K-3 Teacher Professional Development, Carolyn P. Edwards, Heidi Fleharty

Department of Psychology: Faculty Publications

Sixty-three teachers in a K-3 mathematics specialist certificate program conducted family projects in order to improve their skills in partnering with families around mathematics. Past studies have indicated that family involvement in children's education has many positive influences on academic achievement; however, parents' discomfort with math, and teachers' discomfort of working with parents, may be obstacles. The purpose of the present study was to examine two years of teachers' mathematical family projects and describe the types of projects chosen, the risks and benefits of these projects, and the quality of the parent-child interaction. It was found that the teachers implemented …

Teaching Undergraduates How To Analyze, Ryan Andrew Nivens, Rosalind Raymond Gann

ETSU Faculty Works

Analysis is typically the first of the higher functions listed in taxonomies of higher order thinking. Academics consider these upper categories extremely worthwhile, but they are hard to teach and we are apt to ignore them. Today higher education is being criticized for “dumbing down” curriculum or lowering standards. To rectify this, many policies at the state or national level are requiring higher education institutions to change. In K‐12 education, Race to the Top and Common Core requirements are placing new demands on K‐12 teacher preparation, which include evaluation of the analysis skills of pre‐service teachers. But professors do not …

Teaching Mathematics For Social Justice: Conversations With Educators – A Symposium, David W. Stinson, Anita A. Wager

Middle-Secondary Education and Instructional Technology Faculty Publications

Using Marilyn Frankenstein’s germinal 1983 article “Critical Mathematics Education: An Application of Paulo Freire’s Epistemology” and Ole Skovsmose’s 1985 germinal article “Mathematics Education Versus Critical Education” as credible “start points”, critical mathematics or more broadly, social justice mathematics, is marking three decades of empowering yet uncertain possibilities. Nonetheless, there are two recurring questions: What is it? and What does it “look like”? Drawing on the collective stories (and wisdom) of critical mathematics educators, this symposium aims to offer some open, non-definitive answers to these two questions.

Conversations About Privilege And Oppression In Mathematics Education, David W. Stinson, Joi A. Spencer

Middle-Secondary Education and Instructional Technology Faculty Publications

In this editorial, the authors frame the purpose and outline the contents of the JUME special issue “Privilege and Oppression in the Mathematics Preparation of Teacher Educators” (the title of a 3-day conference held in Battle Creek, Michigan). As part of the “thoughtful action” called for throughout the conference, the intention of the special issue is to invite all mathematics educators (and others) into conversations about systems of privilege and oppression.

Teaching Mathematics For Social Justice: Reflections On A Community Of Practice For Urban High School Mathematics Teacher, Lidia Gonzalez

Publications and Research

In this article, the author reports on a study that explored, in part, the developing identities of seven New York City public high school mathematics teachers as teachers of mathematics and agents of change. Meeting regularly as a community of practice, the teachers and author/researcher discussed issues of teaching mathematics for social justice; explored activities and lessons around social justice; and created a unit of study that attempted to meet high school level mathematics standards, while addressing a social justice issue affecting the lives of urban students. The author reports on the mathematics teachers, growing awareness of and concerns about …

Teachers Reflecting Differently: Deconstructing The Discursive Teacher/Student Binary, David W. Stinson, Ginny C. Powell

Middle-Secondary Education and Instructional Technology Faculty Publications

This session explores the ways that practicing teachers came to reflect differently regarding the discursive teacher/student binary during a graduate-level course entitled “Mathematics Education within the Postmodern.” Using Dewey’s concept of reflective thinking, as well as Foucault’s discourse and Derrida’s deconstruction, we show how the course provided new suggestions for the students as they continued their journey of becoming teachers. Through interweaving comments written by the students with concepts borrowed from postmodern philosophers and theorists, we illustrate how the teachers began to understand that teachers and students might indeed be described differently in the postmodern.

Becoming Critical Mathematics Pedagogues: A Journey, David W. Stinson, Carla R. Bidwell, Ginny C. Powell, Mary M. Thurman

Middle-Secondary Education and Instructional Technology Faculty Publications

This session will report the findings of a study that explored the beginning transformations in the pedagogical philosophies and practices of three mathematics teachers (middle, high school, and 2-year college) who completed a graduate-level mathematics education course that focused on critical theory and teaching for social justice, and how these transformations are compatible (or not) with reform mathematics education as suggested by the National Council of Teachers of Mathematics (NCTM), and in turn, the new Georgia Performance Standards (GPS). The study employed Freirian participatory research methodology; in fact, the participants were not only coresearchers, but also co-authors of the study. …

Critical Mathematics Pedagogy: Transforming Teachers’ Practices, David W. Stinson, Carla R. Bidwell, Christopher C. Jett, Ginny C. Powell, Mary M. Thurman

Middle-Secondary Education and Instructional Technology Faculty Publications

This study reports the effects of a graduate-level mathematics education course that focused on critical theory and teaching for social justice on the pedagogical philosophies and practices of three mathematics teachers (middle, high school, and 2-year college). The study employed Freirian participatory research methodology; in fact, the participants were not only co-researchers, but also co-authors of the study. Data collection included reflective essays, journals, and “storytelling”; data analysis was a combination of textual analysis and autoethnography. The findings report that the teachers believed that the course provided not only a new language but also a legitimization to transform their pedagogical …

What Is Mathematics?: Teachers Exploring The Philosophy Of Mathematics, Kimberly White-Fredette, David W. Stinson

Middle-Secondary Education and Instructional Technology Faculty Publications

No abstract provided.

Gaining Options: A Mathematics Program For Potentially Talented At-Risk Adolescent Girls, Pamela Trotman Reid, Sally K. Roberts

Teacher Education Faculty Publications

In response to indicators that a decline in interest in mathematics occurs among girls—particularly those from low-income and minority groups—during middle school, the GO-GIRL (Gaining Options: Girls Investigate Real Life) program was designed to help potentially talented at-risk girls. The program aimed to build mathematical confidence, skills, and conceptual understanding by integrating mathematics and social science research in a single-sex, technology-rich environment supported by university student mentors. The program targeted seventh-grade urban girls from public and private schools. Participants met over the course of ten Saturdays to learn research methods, computer skills, mathematics, and descriptive statistics. Quantitative data from the …