Education Commons^™

Analyzing Classroom Discourse To Investigate Structuring Equitable Mathematical Talk In Small Groups And Whole-Class Discussions, Brittney Marie Ellis

Dissertations and Theses

Shifting classroom discourse to be more student-centered has become an integral part of reform-oriented instructional practices. At the same time, shifting discourse can open up opportunities for inequity to occur in the immediate learning environment as both the quantity and quality of mathematical talk changes. In this project, I examined complexities involved in such settings by using discourse analysis methods to explore the positioning of students relative to mathematics content and each other's mathematical ideas. First, I analyzed the ways teachers' discourse during group work enactments related to established equitable teaching practices. Findings from this study suggest communicating group tasks …

Early Implementation Of A Standards-Based Mathematics Curriculum: Understanding Teacher Perspectives And Concerns, Karen Ann Prigodich

Dissertations and Theses

Standards-based mathematics curricula are intended to shape teachers' classroom instruction in alignment with the content and practices of the Common Core State Standards for Mathematics. Instructional leaders facilitating teachers' implementation of these curricula frequently offer a variety of resources and structures to support effective curriculum use, but teachers themselves do not always find these supports to be helpful. Because teachers' concerns vary, understanding teachers' own perspectives is an important starting place for aligning support with teachers' needs. This case study explored the concerns of teachers from three U.S. school districts during their first year of implementing Bridges in Mathematics, …

Supporting Novice Mathematics Teacher Educators Teaching Elementary Mathematics Content Courses For The First Time, Siobahn Suppa, Joseph Dinapoli, Eva Thanheiser, Jennifer M. Tobias, Sheunghyun Yeo

Mathematics and Statistics Faculty Publications and Presentations

In order to be effectively prepared by a teacher education program, prospective elementary teachers (PTs) need to experience high quality mathematics instruction in their mathematics content courses. The instructors of these courses typically consist of individuals (mathematicians and mathematics educators) with ranging experiences, from tenured faculty members to first-year assistant professors or graduate students. This paper explores how to support novice mathematics teacher educators (MTEs) who are teaching elementary content coursework for PTs for the first time. We detail and describe how to implement three systems for supporting novice MTEs: working with a mentor, being provided with educative curriculum materials, …

A Study Of Early Career Teachers' Practices Related To Language And Language Diversity During Mathematics Instruction, Erin Turner, Amy Roth Mcduffie, Amanda Sugimoto, Julia Aguirre, Tonya Gau Bartell, Corey Drake, Mary Foote, Kathleen Stoehr, Angela Witters

Curriculum and Instruction Faculty Publications and Presentations

The role of language in mathematics teaching and learning is increasingly highlighted by standards and reform movements in the US. However, little is known about teachers’, and especially early career teachers’ (ECTs) practices and understandings related to language in mathematics instruction. This multiple case study explored the language-related understandings and practices of six ECTs in diverse elementary classrooms. Using iterative cycles of analysis, we found that all ECTs regularly attended to students’ mathematical vocabulary use and development. Yet, there was variability in ECTs’ focus on how to teach mathematical vocabulary, expectations for students’ precise use of mathematical terminology, and the …

Connecting Teachers’ Buy-Into Professional Development With Classroom Habits And Practices, Joshua B. Fagan, Kathleen Mary Melhuish, Eva Thanheiser, Brenda Rosencrans, Layla Guyot, Jodi I. Fasteen

Mathematics and Statistics Faculty Publications and Presentations

While professional development (PD) provides an opportunity for teachers to cultivate skills that are consistent with best practices in the field, it is their buy-into the PD that ultimately determines the effectiveness of the PD. We examined how teacher buy-in affected the classroom habits and practice of four elementary teachers who took part in a district wide PD. Using baseline and first-year implementation video recordings, in conjunction with frameworks for discourse analysis, cognitive demand, and tools built specifically to measure PD implementation, we found that varying combinations of teachers' beliefs served as a mitigating factor for PD implementation.

Increasing Student Cognitive Engagement In The Math Classroom Through Sustained Professional Development, Eva Thanheiser, Brenda Rosencrans, Kathleen Mary Melhuish, Joshua B. Fagan, Layla Guyot

Mathematics and Statistics Faculty Publications and Presentations

We share the case of one teacher engaged in professional development (PD) designed to improve collective argumentation. We present an analysis of two lessons in her classroom, one before and one after her engagement with the professional development. Findings show that the classrooms differ across both teacher support for collective argumentation (requesting ideas and elaboration vs. requesting/acts and methods), and student contributions Oustifications vs. procedures and facts) .

An Investigation Into Intermediate Grades Teachers' Noticing Of The Mathematical Quality Of Instruction, Krista Lynn Strand

Dissertations and Theses

The Mathematical Quality of Instruction (MQI) is an important feature of a classroom mathematics lesson. Before teachers can strengthen the MQI of their own lessons, however, teachers must first be able to notice MQI-related features of instruction. The purpose of this dissertation is to investigate intermediate grades teachers’ MQI-related noticing as they go through a ten-week research-based MQI professional development (PD) program. Specifically, this dissertation is guided by two research questions: (1) How do individual teachers’ noticing of MQI-related features of instruction shift as they go through an MQI-focused professional development program? and (2) How do teachers approach the task …

Measuring Fidelity Of Implementation In A Large-Scale Professional Development Efficacy Study, Kathleen Mary Melhuish, Eva Thanheiser, Brenda Rosencrans

Mathematics and Statistics Faculty Publications and Presentations

Fidelity of implementation is the essential link between professional development (PD) experiences and changes in outcomes. Yet, as a field we have few measures available to directly look at implementation. In this poster, we present our preliminary work measuring teachers’ implementation of a research-based PD.

Teacher Noticing Of Justification: Attending To The Complexity Of Mathematical Content And Practice, Kathleen Mary Melhuish, Eva Thanheiser, Jodi I. Fasteen, Julie Fredericks

Mathematics and Statistics Faculty Publications and Presentations

In this report, we will consider in-service elementary school teachers' noticing of the mathematical practice: justification. This study is part of a larger project evaluating the efficacy of a three year professional development built around attending to student thinking and promoting mathematical habits of justifying, generalizing and making sense. Noticing just¢cation is a complex task requiring attention to both the (1) mathematical content and strategies and (2) the nature of the argument provided by a student. We have found that teachers' struggle to attend to both aspects simultaneously and offer a framework for considering teacher noticing of mathematical practices.

The Language Of Professional Development Leaders, Andrew Riffel, Kathleen Mary Melhuish, Eva Thanheiser

Mathematics and Statistics Faculty Publications and Presentations

Leaders in professional development (PD) initiatives (such as facilitators, principals, coaches) hold a great deal of power in their language, carrying the ability to manage meaning and frame experiences. Rather than working from interview data, this report addresses a gap in leadership research by examining the words used by leaders in their on-the-job interactions. We present an initial framework for capturing leadership language qualities at the macro level (framing the PD’s purpose) and micro level (rhetorical crafting in terms of metaphor usage, pronoun choice, and other language selections). Our data come from a larger project evaluating the efficacy of a …

Mathematical Content Knowledge For Teaching Elementary Mathematics: A Focus On Whole-Number Concepts And Operations, Eva Thanheiser, Ian Whitacre, George J. Roy

Mathematics and Statistics Faculty Publications and Presentations

This report represents part of a recent effort to summarize the state of knowledge of prospective elementary teachers' (PTs') mathematics content knowledge and the development thereof. Extensive reviews of the research literature were conducted by a recent PME-NA Working Group across various content areas. This report focuses on whole number and operations. Research in this area is scarce. What we do know from the literature is that PTs' knowledge of whole number and operations is insufficient and in need of improvement. PTs reason about whole numbers and operations in ways that are tied to the standard algorithms. At the same …

Prospective Elementary Mathematics Teacher Content Knowledge: What Do We Know, What Do We Not Know, And Where Do We Go?, Eva Thanheiser, Christine Browning, Alden Edson, Jane-Jane Lo, Ian Whitacre, Dana Olanoff, Crystal Morton

Mathematics and Statistics Faculty Publications and Presentations

The authors reviewed 112 research studies from 1978 to 2012 on prospective elementary teachers' content knowledge in five content areas: whole numbers and operations, fractions, decimals, geometry and measurement, and algebra. Looking across these studies, this final paper identifies the trends and common themes in terms of the counts and types of studies and commonalities among findings. Analyses of the counts show that the number of articles published each year focusing on prospective teacher (PT) content knowledge is increasing. Most articles across the content areas show that PTs tend to rely on procedures rather than concepts. However, the focus of …

Prospective Elementary Mathematics Teacher Content Knowledge: An Introduction, Christine Browning, Eva Thanheiser, Alden Edson, Patrick M. Kimani, Dana Olanoff, Jennifer M. Tobias, Ian Whitacre

Mathematics and Statistics Faculty Publications and Presentations

This Special Issue on the mathematical content knowledge of prospective elementary teachers (PTs) provides summaries of the extant peer-­‐reviewed research literature from 1978 to 2012 on PTs’ content knowledge across several mathematical topics, specifically whole number and operations, fractions, decimals, geometry and measurement, and algebra. Each topic-­‐specific summary of the literature is presented in a self-­‐contained paper, written by a subgroup of a larger Working Group that has collaborated across several years, resulting in this Special Issue sharing the final work. The authors hope this summative look at prospective teacher content knowledge will be of interest to the mathematics education …

Elementary Teacher Candidates' Images Of Mathematics, Diverse Students, And Teaching: An Exploratory Study With Implications For Culturally Responsive Mathematics Education, Bernd Richard Ferner

Dissertations and Theses

Children from many culturally diverse backgrounds do not achieve in mathematics at the same rates as their counterparts from the dominant White, European-American culture (Gay, 2010). This so-called achievement gap is an artifact of an educational system that continues to fail to provide equal learning opportunities to culturally diverse children (Ladson-Billings, 2006; Nieto & Bode, 2011). Teachers who employ culturally responsive teaching (Gay, 2010) may help to close this opportunity gap and hence, the achievement gap. This study investigated, "How do elementary teacher candidates perceive teaching mathematics in a multicultural environment"; Using a critical constructivism research paradigm, this qualitative instrumental …

The Influence Of Virtual Manipulatives On Second Grader's Acquisition Of Place Value Concepts, Kay Jolicoeur

Electronic Theses and Dissertations

The purpose of this study was to examine my own practice of teaching place value and the influence virtual manipulatives had, in addition to physical manipulatives, on place value understanding of my second grade students. I wanted to see how adding a base-ten computer applet might better meet the needs of all learners while also meeting the needs of today’s technological classroom. Through this study, I found that both physical and virtual manipulatives helped students acquire place value concepts. I found that virtual manipulatives had features that engaged students in a way that increased their mathematical language, increased students’ ability …

The Role Of Cognitive And Metacognitive Reading Comprehension Strategies In The Reading And Interpretation Of Mathematical Word Problem Texts Reading Clinicians' Perceptions Of Domain Relevance And Elementary Students' Cognitive Strategy Use, Taylar Brooke Clements

Electronic Theses and Dissertations

The intent of this concurrent mixed method study was to examine teacher perceptions and student applications of cognitive reading comprehension strategy use as applied to the reading and interpretation of a mathematics word problem. Teachers’ perceptions of the relevance and application of cognitive reading comprehension strategies to mathematics contexts were investigated through survey methods. Additionally, students’ cognitive strategy use was explored by eliciting verbalization of cognition using think aloud protocol and clinical interview probes with purposively selected first through sixth-grade students. An experimental component of this study involved the random assignment of teachers to a professional development book study focused …

The Effects Of A Ratio-Based Teaching Sequence On Performance In Fraction Equivalency For Students With Mathematics Disabilities, Jessica H. Hunt

Electronic Theses and Dissertations

This study examined the effects of a ratio-based supplemental teaching sequence on third grade students‘ equivalent fraction performance as measured by a curriculum-based measure and a standardized test. Participants included students identified as being learning disabled in mathematics (MLD), struggling (SS), or typically achieving (TA). Nineteen students were assigned to the experimental group and 19 additional students formed the control group. The difference between the two groups was that the experimental group received the ratio-based teaching sequence. Both groups continued to receive textbook based instruction in fraction equivalency concepts in their regular mathematics classroom. Qualitative interviews were employed to further …

Developing Mathematical Content Knowledge For Teaching Elementary School Mathematics, Eva Thanheiser, Christine Browning, Meg Moss, Tad Watanabe, Gina Garza-Kling

Mathematics and Statistics Faculty Publications and Presentations

In this paper the authors present three design principles they use to develop preservice teachers' mathematical content knowledge for teaching in their mathematics content and/or methods courses: (1) building on currently held conceptions, (2) modeling teaching for understanding, (3) focusing on connections between content knowledge and other types of knowledge. The authors share results of individual research projects and teaching approaches focusing on helping preservice elementary teachers develop such knowledge. Specific examples from different content areas (whole number, fractions, angle, and area) are discussed.

Investigating Further Preservice Teachers’ Conceptions Of Multidigit Whole Numbers: Refining A Framework, Eva Thanheiser

Mathematics and Statistics Faculty Publications and Presentations

This study was designed to investigate preservice elementary school teachers’ (PSTs’) responses to written standard place-value-operation tasks (addition and subtraction). Previous research established that PSTs can often perform but not explain algorithms and provided a four-category framework for PSTs’ conceptions, two correct and two incorrect. Previous findings are replicated for PSTs toward the end of their college careers, and two conceptions are further analyzed to yield three categories of incorrect views of regrouped digits: (a) consistently as 1 value (all as 1 or all as 10), (b) consistently within but not across contexts (i.e., all as 10 in addition but …

Mathematics, Technology, And Gender: Closing Gender Differences With A High School Web Site, Steven Lee Holifield

Theses Digitization Project

This project focuses on using technology to help motivate young females to make use of a high school web site to lesson anxieties and increase interest in mathematics and the use of technology. Additionally, it acts as a model to create an educational web site that brings about better communication within a community.

Integrating Internet Technology To Support Fraction Instruction In The Elementary Classroon, Melonie Ann Jacksin

Theses Digitization Project

No abstract provided.

Math Moments: A Parents' Multimedia Guide For Tutoring K-3 Students, Zola Jones Signs

Theses Digitization Project

No abstract provided.

Mathematics Curriculum Implementation For The Sixth Grade, Steven Anthony Knap

Theses Digitization Project

No abstract provided.

Assisting The Learning Disabled Through The Use Of Math Manipulatives, Joan Horton Mcbryde

Theses Digitization Project

No abstract provided.

Manipulative Materials In Mathematics Instruction: Addressing Teacher Reluctance, Virginia Mae Johnson

Theses Digitization Project

No abstract provided.

Administrative Strategies In Developing A Real-Life Skills Mathematics Unit, Dorian A. Jones

Theses Digitization Project

Average students -- 6th, 7th, 8th grades (middle schools) -- Manipulatives and authentic materials -- Administrative responsibilities.

A Study Of The Efficacy Of Logo Programming On The Achievement Of Fifth Grade Students, Linda Stathis

Theses Digitization Project

No abstract provided.

A Teacher's Manual Of Manipulatives For The Fourth Grade, Richard F. Martin

Theses Digitization Project

No abstract provided.

Construction And Implementation Of An Individualized Math Program For Sixth Graders, Lynda Sylvia Hatch

Dissertations and Theses

The sixth grade teachers at Mooberry School in Hillsboro, Oregon were not pleased with the way they were teaching math. The students, grouped by ability, had a poor self-concept about math and felt "locked into" one class.

During the summer of 1973, these teachers considered ways to change their math instruction. Reading was done to determine the most promising practice in math education in the United States. A successful approach to learning appeared to be individualized instruction, as is discussed in this paper. Many different individualized programs were studied, grouped into eleven general categories, and described in detail. The Mooberry …

Subtraction - - Whole Numbers When The Minuend Contains Fewer Units Than The Subtrahend, Naida Ruth Pino

All Master's Theses

The purpose of the study was to answer the question: Which method or methods of teaching subtraction are being used in the elementary school today? An attempt also was made to answer the question: Why?