Science and Mathematics Education Commons^™

Student Evaluation Of Mathematical Explanations In An Inquiry-Based Mathematics Classroom, Ashley Burgess Hulet

Theses and Dissertations

Students do not always evaluate explanations based on the mathematics despite their teacher's effort to be the guide-on-the-side and delegate evaluation to the students. This case study examined how the use of three features of the Discourse—authority, sociomathematical norms, and classroom mathematical practices—impacted students' evaluation and contributed to students' failure to evaluate. By studying three pre-service elementary school students' evaluation methods, it was found that the students applied different types of each of the features of the Discourse and employed them at different times. The way that the features of the Discourse were used contributed to some of the difficulties …

Problems Faced By Reform Oriented Novice Mathematics Teachers Utilizing A Traditional Curriculum, Tyler Joseph Winiecke

Theses and Dissertations

Task-based instruction has been a promising method of instruction advocated by mathematics education researchers over the past twenty years. However traditional curricula constitute a majority of the curricula utilized in the United States. The purpose of this study is to identify the problems reform oriented novice teachers face when utilizing a traditional curriculum to plan task-based lessons. In order to identify these problems three novice teachers' interactions with curricula were observed and characterized using the frameworks of past researchers. Through analysis of teachers' textbook interaction practices it was found that teachers struggled to plan task-based lessons due to issues encountered …

Examining The Effects Of College Algebra On Students' Mathematical Dispositions, Kevin Lee Watson

Theses and Dissertations

As Mathematics Educators, we want to help our students not only develop a deep, conceptual understanding of mathematical concepts and processes, but also a positive disposition towards mathematics. Despite the importance of helping students develop a positive mathematical disposition, little research has been conducted examining how students' dispositions develop as they progress through their mathematical studies. In particular, the effects of college algebra on students' mathematical dispositions is not well understood. To examine the influence of college algebra on students' dispositions, students using two different college algebra curriculums were studied at Brigham Young University. Using a mathematical disposition survey, student …

Developing & Describing The Use & Learning Of Conceptual Models For Integer Addition And Subtraction Of Grade 5 Students, Nicole Marie Wessman-Enzinger

Theses and Dissertations

This dissertation reports the results of a teaching experiment, which explored student thinking about integer addition and subtraction. Through the lens of commognitive theory (Sfard, 2008), interpreting negative integers as secondary intuitions (Fischbein, 1987), and employing teaching experiment methodology (Steffe & Thompson, 2000), this study was a first step in developing more robust descriptions of students' conceptual models for integer addition and subtraction. I investigated: (a) the conceptual models that students exhibited, (b) the various ways that students utilized conceptual models while learning about the addition and subtraction of integers, and (c), the ways that students' conceptions evolved over the …

English Learners' Participation In Mathematical Discourse, Lindsay Marie Merrill

Theses and Dissertations

Due to the increasing diversity of mathematics classrooms today, teachers need guidance on how to support English Learners (ELs) in mathematics classes in a way that situates language learning within mathematical activity. Unfortunately, neither mathematics education research nor EL education research is sure how to navigate the complexity of teaching ELs mathematics while supporting both their language development and their mathematical development through their participation in mathematical activity. This study examined ELs' participation in mathematical Discourse, investigating both the mathematical purposes ELs accomplished by using multiple symbol systems, and the way ELs used non-English language (NEL) symbol systems to support …

Testing A Model Of The Relationship Of Demographic, Affective, And Fitness Variables To Academic Achievement Among Non-Science Majors At An Independent University, Andrew Martin Dutra

Theses and Dissertations

The purpose of this study was to determine the relationship of specific attributes of college students to their academic achievement at an independent university in central Florida. Academic achievement was measured as the numeric score on the final exam in a survey-of-science course (EDS 1032) required for nonscience majors. Attribute sets included personological, affective, and fitness variables. A hypothesized diagram of the direct and indirect effects among these attributes relative to academic achievement was developed and tested using data collected Spring 2014 from 168 students in four sections of EDS 1032 at Florida Institute of Technology. Multiple regression results revealed …

Effects Of Peer Instruction On State College Student Achievement In An Introductory Biology Unit In Genetics, Holly Nicole Mcknight

Theses and Dissertations

The purpose of this study was to examine the effects of Peer Instruction (PI) in a state college biology classroom. Students discussed biological concepts in the area of genetics among their peers during class time. Conceptual questions were delivered to the student in the form of ConcepTests, conceptual questions designed to uncover students’ misconceptions in the material. Students first answered a question projected from the computer to an overhead screen on their own. Depending on the percentage of students that answered correctly, students then discussed their answers with their peers (PI). These discussions allowed students to uncover their misunderstandings in …

Preservice Secondary Mathematics Teachers' Knowledge Of Generalization And Justification On Geometric-Numerical Patterning Tasks, James Vincent Kirwan

Theses and Dissertations

Generalization is essential to mathematical thinking (Kaput, 1999), and justification is its inseparable twin (Lannin, 2005). If students will be expected to generalize and justify, then it is important to develop an understanding of teachers' thinking about these concepts. This study examined secondary preservice teachers understanding of generalization, justification, and the interaction between these concepts.

Data were collected from three quadratic geometric-numerical patterning tasks administered during a single interview. Data reduction (Miles & Huberman, 1994) and constant comparative (Glaser & Straus, 1967) methodology was used to analyze written transcripts of the interviews.

The results of this analysis indicated that participants …

Parents And The Common Core State Standards For Mathematics, Rebecca Anne Roberts

Theses and Dissertations

As the majority of the nation has adopted Common Core State Standards for Mathematics (CCSSM), studying parents' resistance to these standards becomes vital in improving parental involvement and support of school mathematics reforms. Using Schoenfeld's (2011) model for decision making as a framework, an online survey and six interviews were conducted. The results of the survey showed that parents' resources related to student experiences and the mathematical methods students are performing are affecting their resistance toward CCSSM. The survey results also showed that parents' orientations related to the difficulty of the standards and politics affects their resistance toward CCSSM. The …

Interdisciplinary Connections Between Science & Theatre, Jessica N. Dotson

Theses and Dissertations

Abstract

INTERDISCIPLINARY CONNECTIONS BETWEEN SCIENCE & THEATRE

Jessica Nicole Dotson

A thesis submitted in partial fulfillment of the requirements for the degree of Master of Fine Arts at Virginia Commonwealth University.

Virginia Commonwealth University, 2015.

Major Director: Dr. Noreen C. Barnes, Director of Graduate Studies, Associate Professor of Theatre

In the 1990s, astronomer Peter Usher was searching for new ways to teach his introductory astronomy class at Pennsylvania State University. He began to engage his students by searching for astronomical connections from other disciplines. His focus was turned to the arts, especially the works of William Shakespeare. Usher found, while …

The Word Problem Factor: Assessing The Ability Of Utah High School Career And Technical Education Students To Do The Math Involved In Formulating And Calculating Energy Cost Factors, Kristen Bentley

Theses and Dissertations

Much research has been done showing the difficulty people have with word problems. This has been shown to be true for many types of word problems and for different demographics. Questions have remained unanswered regarding the reasons for this difficulty. It has been unclear if the word problems were hard because the people had forgotten or had not yet learned how to do the math calculations involved or for some other reason. This study deals with high school students who are currently in a high school level math class. They were given an assessment involving word problems and number-only problems. …

Language Use In Mathematics Textbooks Written In English And Spanish, Kailie Ann Bertoch

Theses and Dissertations

Research has suggested that although mathematics is a universal language, the notation, algorithms, and language in which it is taught varies from country to country. The literature has addressed the challenges associated with understanding the language of mathematics in English. Variable is a topic of mathematics where the literature has documented students' difficulty understanding the language of mathematics. Part of that difficulty is attributed to the fact that mathematics and English each have their own register and at times the differences in these registers conflict. This study examined the introduction and use of variable in the middle school textbooks of …

The Effect Of Students' Mathematical Beliefs On Knowledge Transfer, Kristen Adams

Theses and Dissertations

Students learn many different concepts throughout their mathematical careers. In order to be successful in mathematics, students should be able to transfer these mathematical concepts learned in one situation and apply them to a new situation. There are many factors that might affect how students transfer knowledge; however research has focused mostly upon cognitive factors, even though affective factors might also exhibit a strong influence. This study examined how students' mathematical beliefs, specifically beliefs about mathematics education and self-efficacy, affect the transfer process. Data were collected from three middle school students. These data were collected through in-class observations, students' written …

A Qualitative Study Of Florida Tech Graduate Teaching Assistants’ Response To Coaching, Video Playback, And Coaching Paired With Video Playback With Regard To Their Concerns, Self-Reflections, And Practice Of Teaching, Angela Marie Fennell

Theses and Dissertations

Florida Tech’s campus-wide GTA professional development training, the GTA Seminar, has no clear theory on which it was designed, employs only measures of satisfaction and open-ended feedback, and performs limited follow-up on GTAs. Further, two pilot studies I conducted indicate that GTAs’ concerns may not be fully addressed by this seminar. This is notable because the GTA Seminar is often the only means of professional development available to more than half of the GTAs on campus. The purpose of my study was to investigate 13 GTAs’ teaching concerns, self-reflections, and practice when implementing three professional development sequences during their assignments …

Mathematical Telling In The Context Of Teacher Interventions With Collaborative Groups, Brandon Kyle Singleton

Theses and Dissertations

Teacher telling is underrepresented in the mathematics education reform literature and deserves additional scrutiny. This case study examined a skilled teacher's telling practices during a university mathematics content course for pre-service elementary teachers. I identified telling practices through discourse analysis, attending to the presence of mathematics and the contribution of new structure or ideas from the teacher. The teacher utilized seven unique types of mathematical telling while supporting collaborative group work on tasks. The study identified subtle telling, implicit telling, and explicit telling. The results suggest that mathematical telling is an integral part of the teacher's role in inquiry-based instruction …

Investigating Children's Intuitive And Analytical Thinking About Path Length As A Developmental Phenomenon, Cheryl Lynn Eames

Theses and Dissertations

Children's conceptions of length measurement has been the focus of research that has built on the work of Piaget and his colleagues to produce developmental accounts for the acquisition of conceptual and procedural knowledge. Prior research focused on children's developing conceptions of length measurement for straight or rectilinear paths; however, little is known about how these conceptions grow beyond the elementary grades. The present study increased the scope of this research beyond elementary grades to include middle and secondary level students, exploring the development of students' intuitive and analytical thinking for determining the length of a curved path across a …

An Investigation Of How Preservice Teachers Design Mathematical Tasks, Elizabeth Karen Zwahlen

Theses and Dissertations

The tasks with which students engage in their mathematics courses determine, for a large part, what students learn. Therefore, it is essential that teachers are able to design tasks that are worthwhile for developing mathematical understanding. Since practicing teachers seldom incorporate worthwhile mathematical tasks in their lessons, we would expect that they did not become proficient at designing worthwhile tasks while in their teacher education programs. This thesis describes a study that investigated what preservice secondary teachers attend to as they attempt to design worthwhile mathematical tasks. Three participants were selected from a course at a large private university where …

An Examination Of Teachers' Perceptions And Implementation Of Learning Trajectory Based Professional Development, Megan Hope Wickstrom

Theses and Dissertations

The aims of this study were to investigate how teachers incorporated learning trajectory based research into practice, specifically how they made sense of students' thinking in relation to classroom instruction. To conduct this study, I used an ethno-methodological approach (Garfinkel, 1967) across several months, with three fourth-grade teachers in a diverse, high needs school. Each of the teachers participated in professional development on using learning trajectories (Sarama & Clements, 2009) as a tool to formatively assess individual student's thinking as a means to inform classroom instruction. During the study, the teachers were asked to conduct clinical interviews with students in …

Comparing Two Different Student Teaching Structures By Analyzing Conversations Between Student Teachers And Their Cooperating Teachers, Niccole Suzette Franc

Theses and Dissertations

Research has shown that preservice teachers participating in traditional student teaching programs tend to focus on classroom management, with very little focus on student mathematical thinking. The student teaching program at BYU has been redesigned in the hopes of shifting the focus of student teachers away from classroom management toward student mathematical thinking. This study compared conversations between student teachers and cooperating teachers before and after the redesign of the program to work towards determining the effectiveness of the refocusing of the new student teaching program. The study found that STs and CTs in the different student teaching structures were …

Beliefs And Instructional Practices Of Four Community College Remedial Mathematics Instructors, Robin Marie Wucherer

Theses and Dissertations

BELIEFS AND INSTRUCTIONAL PRACTICES OF FOUR COMMUNITY COLLEGE REMEDIAL MATHEMATICS INSTRUCTORS

Robin M. Wucherer

285 Pages August 2011

In an extension of research linking teachers' beliefs about mathematics and their instructional practices at the Prek-12 level, the present study examined and documented both the beliefs and instructional practices of four community college instructors who teach remedial mathematics. Data was collected through survey, observations, interviews, and classroom artifacts. The results of the survey, the Modified Standards Based Belief Instrument (MSBI), showed one-third of 39 community college mathematics instructors had beliefs about mathematics and the teaching and learning of mathematics that …

The Effects Of An Undergraduate Algebra Course On Prospective Middle School Teachers' Understanding Of Functions, Especially Quadratic Functions, Jonathan Taniola Duarte

Theses and Dissertations

Although current reform movements have stressed the importance of developing prospective middle school mathematics teachers' subject matter knowledge and understandings, there is a dearth of research studies with regard to prospective middle school teachers' confidence and knowledge with respect to quadratic functions. This study was intended to fill this void. It generated information on prospective teachers' knowledge of quadratic functions as well as of their confidence to answer questions involving quadratic equations and multiple representations of functions.

The study employed a multiple-perspectives design, with data being collected from different vantage points - documents, pre- and post-teaching tests, artifacts, interviews, classroom …

Exploring The Mathematical Knowledge For Teaching Of Japanese Teachers, Ratu Jared R. T. Bukarau

Theses and Dissertations

In the past two decades there has been an increased effort to understand the depth to which mathematics teachers must know their subject to teach it effectively. Researchers have termed this type of knowledge mathematical knowledge for teaching (MKT). Even though recent studies have focused on MKT, the current literature on the subject indicates that this area remains underdeveloped. In an attempt to further refine our conception of MKT this study looked at MKT in Japan. In this thesis I explored and categorized the MKT of three experienced Japanese cooperating teachers (CTs) by looking at the content of their conversations …

Examining Middle School Students' Statistical Thinking While Working In A Technological Environment, Melissa Arnold Scranton

Theses and Dissertations

Examining Middle School Students' Statistical Thinking

While Working in a Technological Environment

Melissa Arnold Scranton

The purpose of this study was to gain a better understanding of how students think in a technological environment. This was accomplished by exploring the differences in the thinking of students while they worked in a technological environment and comparing this to their work in a paper and pencil environment. The software program TinkerPlots: Dynamic Data Exploration (Konold & Miller, 2005), a construction tool that middle school students use for data analysis was the technological environment. In both environments, types of critical, creative, and statistical …

Types Of Questions That Comprise A Teacher's Questioning Discourse In A Conceptually-Oriented Classroom, Keilani Stolk

Theses and Dissertations

This study examines teacher questioning with the purpose of identifying what types of mathematical questions are being modeled by the teacher. Teacher questioning is important because it is the major source of mathematical questioning discourse from which students can learn and copy. Teacher mathematical questioning discourse in a conceptually-oriented classroom is important to study because it is helpful to promote student understanding and may be useful for students to adopt in their own mathematical questioning discourse. This study focuses on the types of questions that comprise the mathematical questioning discourse of a university teacher in a conceptually-oriented mathematics classroom for …

Student Understanding Of Limit And Continuity At A Point: A Look Into Four Potentially Problematic Conceptions, Miriam Lynne Amatangelo

Theses and Dissertations

Mathematics students and teachers are familiar with the difficulty of learning and teaching concepts of continuity and limits. Research has expanded our knowledge of how students think about these concepts, including different conceptions and metaphors students use to reason about continuity and limits at a point. From the literature I have identified four potentially problematic conceptions (PPCs) students may use when reasoning about limit and continuity at a point. Questionnaires were administered to 861 BYU students in various mathematics courses to determine how prevalent and persistent the PPCs are among the students in each course. Interviews were conducted with nine …

Teaching Algebra Through Functional Programming:An Analysis Of The Bootstrap Curriculum, Robert Lee

Theses and Dissertations

Bootstrap is a computer-programming curriculum that teaches students to program video games using Racket, a functional programming language based on algebraic syntax. This study investigated the relationship between learning to program video games from a Bootstrap course and the resulting effect on students' understanding of algebra. Courses in three different schools, lasting about six weeks each, were studied. Control and treatment groups were given a pre and post algebra assessment. A qualitative component consisting of observations and interviews was also used to further triangulate findings. Statistical analysis revealed that students who completed the Bootstrap course gained a significantly better understanding …

Professional Development As A Community Of Practice And Its Associated Influence On The Induction Of A Beginning Mathematics Teacher, Savannah O. Steele

Theses and Dissertations

This qualitative study analyzes a professional development course and its associated influence on the induction of a beginning mathematics teacher from a sociocultural perspective. Specifically, it examines whether a specific high school mathematics professional development course formed a community of practice through the elements of mutual engagement, joint enterprise, and shared repertoire. A community of practice is an inherently sociocultural framework. The results show how each element was present in the professional development, indicating that a community of practice had formed. Using those three elements of community of practice, the study further analyzes the induction of one first-year teacher, Sarah, …

Identifying Most Significant Predictors Of Low Mathematics Achievement In African American Male Middle School Students, Kelley Adams

Theses and Dissertations

Research has shown that African American males have been singled out due to the fact most local and national data of academic achievement finds the group to underachieve significantly (Garibaldi, 2007). The purpose of this study is to examine variables which significantly predict lower levels of math achievement in regards to African American males. This study also examines variables that predict low math achievement for African American males to determine the most significant of the predictors. This quantitative case study includes sixth, seventh, and eighth grade African American male subjects from a middle school in the Southeast. Socioeconomic status, attendance, …

Mathematics Teacher Time Allocation, Ashley Martin Jones

Theses and Dissertations

This study was conducted in order to determine how mathematics teachers allocate their time in the classroom and the factors that influence teacher priorities in that time allocation. Research has indicated that math teachers may choose not to do certain activities in their classroom because of the amount of time that they take, but other underlying reasons may exist. In order to study this idea, six math teachers were interviewed on their current time allocation and rationale for that allocation, and the results from these interviews were used to create a survey that was sent to 581 math teachers in …

Learning Within A Computer-Assisted Instructional Environment: Effects On Multiplication Math Fact Mastery And Self-Efficacy In Elementary-Age Students, Loraine Jones Hanson

Theses and Dissertations

The primary purpose of this study was to evaluate the effect of basic multiplication mastery (0-12) and self-efficacy outcomes for elementary age students attempting to master multiplication facts in a Computer-Assisted Instructional (CAI) environment. Timez Attack (TA), a modern Internet based 3-D multiplication video game, was the computer program used in this study. Four third- and four fourth-grade classes of students at a public charter school received either 12 20-minute Teacher-Led Instructional (TLI), or TA multiplication practice sessions. Pre- and post Math Attitude Survey (MAS), timed multiplication tests, observations, and informal interviews were used to assess and compare TA and …