Science and Mathematics 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 …

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 …

Hearing Silence: Understanding The Complexities Of Silence In Democratic Classrooms And Our Responsibility As Teachers And Teacher Educators. A Response To "Creating A Democratic Mathematics Classroom: The Interplay Of The Rights And Responsibilities Of The Learner.", Kersti Tyson, Allison Hintz, Andrea English, Diana Murdoch

Democracy and Education

This response to Priya Prasad’s and Crystal Kalinec-Craig’s article on the interplay of the Rights and Responsibilities of the Learner aims to engage with and add on to the authors’ exploration of learners overexercising or opting out of their rights. While grappling with these challenges alongside the authors, our curiosity deepened about a significant and understudied facet of democratic classrooms: silence. Through this response, we consider the multifaceted dimension of silence and how a focus on silence may help us more fully understand the tension between learners’ rights and responsibilities to self, each other, and the collective. Specifically, we engage …

Social Justice Mathematical Modeling For Teacher Preparation, Patrick L. Seegmiller

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Today's math teachers face significant social and political challenges for which they receive little preparation. Mathematics content courses can potentially provide additional preparation in this regard by providing future teachers with experiences to mathematically explore social justice issues. This provides them with opportunities to increase their awareness and sensitivity to social justice issues, develop greater empathy for their future students, and serve as examples for high quality instruction that they can emulate in their future careers. This dissertation recounts the development and revision of three social justice mathematical modeling projects, and shares evidence from student work samples of the ways …

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.

The Effects Of Teacher Professional Development And Self-Efficacy On Classroom Uses Of Information And Computer Technologies, Elif N. Gokbel

Electronic Theses and Dissertations

The uses of new technologies during mathematics instruction are essential for maintaining opportunities for students to gain better understanding of the content and become digital learners in the information age. Although scholars found technology integration is helpful in improving students’ mathematics achievement, the role of teachers’ preparedness for technology integration remains critical.

Technology professional development and self-efficacy are two major factors impacting teachers’ successful integration of instructional technologies. The purpose of this study was to provide a more in-depth look into (i) mathematics teachers technology uses during direct instruction, dialogic instruction, and assessment; (ii) the relationship between various types of …

Fragile Strength: Math Self-Efficacy Of High Achieving Girls, Tristan Tang

Education | Master's Theses

Math gender gap research shows girls’ math self-efficacy to be correlated with their interest in pursuing higher levels of math education and STEM career opportunities. Most math gender gap studies have used only quantitative approaches, thereby missing the opportunity to gain deeper perspectives directly from girls who are steadfastly facing the math gender gap. This study centered around two small focus groups of girls attending a unique secondary school where every afternoon is fully dedicated to deep engagement with higher-level mathematics. Additionally, parents of girls at the school were surveyed to provide further insight into possible sources of their daughter’s …

Review Of Towards Equity And Justice In Mathematics Education, Edited By Tonya Gau Bartell, Emily Lardner

Numeracy

Tonya Grau Bartell, editor. 2018.Toward Equity and Social Justice in Mathematics Education. (Cham, Switzerland: Springer International Publishing). 341 pp. ISBN 978-3-319-92906-4 (also available as an e-book).

Toward Equity and Social Justice in Mathematics Education is a welcome addition to ongoing conversations about what mathematics should be taught and how it should be taught at both the college and pre-college level. Although the primary audience for the volume will be math educators and researchers, readers of this journal will discover intersecting interests, concerns, and strategies.

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.

Collaboration Among Mathematicians And Mathematics Educators: Working Together To Educate Preservice Teachers, Amanda R. Mohn

USF Tampa Graduate Theses and Dissertations

Collaboration among higher education professors who are responsible for the education of preservice teachers is one potential solution to the problem of poor teacher preparation. Specifically, collaboration among mathematics educators and mathematicians can enhance preservice teacher preparation because it provides opportunities for preservice teachers to develop pedagogical content knowledge. However, collaborative efforts are challenging, and collaborators often face obstacles and tensions arise among the collaborative group members. Learning about ways the collaborators approach their collaborative efforts, the issues and tensions that arise, the hindering and supporting factors that affect the collaboration, and the potential outcomes of collaborative efforts provides information …

Tinkering With Logo In An Elementary Mathematics Methods Course, Keri Duncan Valentine

Interdisciplinary Journal of Problem-Based Learning

With an increased push to integrate coding and computational literacy in K–12 learning environments, teacher educators will need to consider ways they might support preservice teachers (PSTs). This paper details a tinkering approach used to engage PSTs in thinking computationally as they worked with geometric concepts they will be expected to teach in K–5. Experiences programming in Logo to construct authentic artifacts in the form of two-dimensional geometric graphics not only supported PSTs’ understanding of core geometric and spatial concepts, but also helped them to make connections between mathematics and computational literacy. Artifacts and discourse are discussed as they relate …

Why I Believe People Need Painting By Numbers, Jason Makansi

Numeracy

Jason Makansi.2016. Painting By Numbers: How to Sharpen Your BS Detector and Smoke Out the Experts (Tucson AZ: Layla Dog Press). 196 pp. ISBN 978-0998425900.

This piece briefly introduces my Painting By Numbers, which aims to take the core messages of the QL/QR community from academic and professional circles to the rest of the citizenry. I describe the book in the context of the critical need for the most basic numeracy tools to help consumers of news, information, and analysis—delivered through traditional and contemporary social media outlets—determine where a reported numerical result lies on the scale from utter nonsense …

Effects Of The Instruction With Mathematical Modeling On Pre-Service Mathematics Teachers’ Mathematical Modeling Performance, Gulzade Karaci Yasa, Ilhan Karatas

Australian Journal of Teacher Education

The purpose of the study was to investigate the effects of the instruction with mathematical modeling on pre-service mathematics teachers’ mathematical modeling performance. The participants were 24 pre-service elementary mathematics teachers. A mixed method approach was used to conduct the research. Each week, the participants were given two mathematical modeling problems and solved them as a group. After that, each group shared their solutions with the class so that there was an opportunity to focus on different solution methods. The data was collected via a pre and a post mathematical modeling test. SPSS package program was utilized in order to …

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 …

The Rights Of The Learner: A Framework For Promoting Equity Through Formative Assessment In Mathematics Education, Crystal A. Kalinec-Craig

Democracy and Education

An elementary mathematics teacher once argued that she and her students held four Rights of the Learner in the classroom: (1) the right to be confused; (2) the right to claim a mistake; (3) the right to speak, listen and be heard; and (4) the right to write, do, and represent only what makes sense. Written as an emerging framework to promote equity in the mathematics classroom through divergent formative assessment, the RotL assumes that students can take more explicit ownership of their learning, both in writing and in oral communication. Foregrounded in the literature, this paper discusses how the …

A Study Of Strengthening Secondary Mathematics Teachers’ Knowledge Of Statistics And Probability Via Professional Development, Lina Devaul

UNLV Theses, Dissertations, Professional Papers, and Capstones

A professional development program (PSPD) was implemented to improve in-service secondary mathematics teachers’ content knowledge, pedagogical knowledge, and self-efficacy in teaching secondary school statistics and probability. Participants generated a teaching resource website at the conclusion of the PSPD program. Participants’ content knowledge change and self-efficacy change were measured. After PSPD, three participants were selected to represent three types of change. Teachers’ classroom instructions were video-taped and analyzed to explore the enactment of PSPD components, such as activities and concepts. Interviews were conducted to assess factors that facilitated teachers’ change and the enactment of PSPD components. Preservice teachers who majored in …

Developing Teacher Competencies For Problem-Based Learning Pedagogy And For Supporting Learning In Language-Minority Students, Peter Rillero, Mari Koerner, Margarita Jimenez-Silva, Joi Merritt, Wendy J. Farr

Interdisciplinary Journal of Problem-Based Learning

Teachers need to be able to design and implement problem-based learning (PBL) experiences to help students master the content and the processes in new mathematics and science education standards. Due to the changed population of learners within schools, it is also critically important that teachers in the elementary grades have the abilities to work effectively with English language learners (ELL). This article discusses the implementation of a major initiative by our teachers college to achieve both of these goals through Problem-Based Enhanced Language Learning (PBELL), which combines PBL, enhanced opportunities for language, and ELL methods. The implementation began with a …

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

Ryan Andrew Nivens

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 …

Problem-Based Learning In K–8 Mathematics And Science Education: A Literature Review, Joi Merritt, Mi Yeon Lee, Peter Rillero, Barbara M. Kinach

Interdisciplinary Journal of Problem-Based Learning

This systematic literature review was conducted to explore the effectiveness of problem-based and project-based learning (PBL) implemented with students in early elementary to grade 8 (ages 3–14) in mathematics and science classrooms. Nine studies met the following inclusion criteria: (a) focus on PBL, (b) experimental study, (c) kindergarten to grade 8 level, and (d) focus on mathematics or science content. For these studies, we examined: the definitions of PBL used, the components of PBL explicitly identified as salient to student learning, and the effectiveness of PBL. This review found that although there is no consistent definition of PBL, PBL is …

A Situated Perspective Of Rural Elementary School Mathematics Teachers’ Planning Practices, Ashley Paige Walther

Doctoral Dissertations

Rural areas are home to approximately 20% of the population in the United States. Schools that serve rural populations are geographically isolated and lack resources when compared to urban and suburban schools. Educators who serve students in rural schools are often born and raised in the same system in which they ultimately work. Elementary teachers are typically certified as generalists. As a result, many report a lack of confidence or proficiency in mathematics. This dissertation offers an analysis of the planning practices of rural elementary school mathematics teachers in a district located in the southeastern United States. The study sought …

"Returning To The Root" Of The Problem: Improving The Social Condition Of African Americans Through Science And Mathematics Education, Vanessa R. Pitts Bannister, Julius Davis, Jomo Mutegi, Latasha Thompson, Deborah Lewis

Catalyst: A Social Justice Forum

The underachievement and underrepresentation of African Americans in STEM (Science, Technology, Engineering and Mathematics) disciplines have been well documented. Efforts to improve the STEM education of African Americans continue to focus on relationships between teaching and learning and factors such as culture, race, power, class, learning preferences, cultural styles and language. Although this body of literature is deemed valuable, it fails to help STEM teacher educators and teachers critically assess other important factors such as pedagogy and curriculum. In this article, the authors argue that both pedagogy and curriculum should be centered on the social condition of African Americans – …

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.

The Role Of Sequence In The Experience Of Mathematical Beauty, Leslie Dietiker

Journal of Humanistic Mathematics

In this article, I analyze the aesthetic dimensions of a sequence of mathematical events found in an unusual first grade lesson in order to demonstrate how sequencing may affect an individual’s experience of mathematical beauty. By approaching aesthetic as a sense or felt quality of an experience in context (Sinclair, 2001, 2011), this analysis explains how sequence can affect the way mathematical objects or actions are experienced by an individual. Thus, rather than questioning whether or in what ways a set of mathematical objects are beautiful or not, this paper addresses under what conditions is the mathematics in play beautiful. …

Exploring Quality Teaching In The Online Environment Using An Evidence-Based Approach, Elena Prieto-Rodriguez, Jennifer Gore, Kathryn Holmes

Australian Journal of Teacher Education

Online learning is increasingly ubiquitous in higher education. However, research regarding online teaching often focuses on the affordances of the online environment rather than on the quality of pedagogy. In this paper we consider how online learning could be enhanced using rich pedagogical models that are consistent with a wealth of existing knowledge on pedagogy for face-to-face settings. To do so, we apply an established framework, the Quality Teaching model, to explore pedagogy in the online environment and illustrate its potential benefits using a case study of 60 students in a tertiary mathematics teacher education program. We conclude that the …

Facilitating Changes In College Teaching Practices: Instructional Reform, Identity Conflict And Professional Community In A K-20 Partnership, Stacy Olitsky

Stacy Olitsky

In this paper, I explain variation in the adoption of student-centred teaching practices among college faculty members in a program designed to promote K-20 instructional reform. I analyze data from a qualitative study of a Math and Science Partnership in order to understand why some faculty members had undergone extensive changes to their practices whereas others had not, even though both groups had demonstrated changes in their beliefs. Findings show that when collective identities focused on reform become more salient than the role identities associated with their teaching positions, faculty members are able to persist through the loss of self-efficacy …

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

A Method For Assessing And Describing The Informal Inferential Reasoning Of Middle School Students, Joshua Michael Goss

Dissertations

Informal Inferential Reasoning (IIR) has emerged in the last decade in the study of statistics education. Developing students’ IIR ability is seen as a way of preparing students for the important topic of Formal Statistical Inference (FSI); however, research is still needed in order to investigate how students transition between informal and formal statistical reasoning. A primary difficulty is that we do not have a way of assessing and describing students’ IIR ability levels. In order to address this, an Assessment of Informal Inferential Reasoning (AIIR) was developed, along with a Structure of Observed Learning Outcomes (SOLO) taxonomy (Biggs & …

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 …