Education Commons^™

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 …

Impact Of Kinesthetic Learning On Student Knowledge Retention And Attitudes Toward Mathematics, Alyssa Lustgarten

Honors Projects

This research study examines the impact of kinesthetic learning on student knowledge retention and attitudes toward mathematics. Specifically, this study focuses on teaching mathematics to secondary students through dance. Quantitative data was collected and analyzed regarding student mathematics knowledge retention and student attitudes towards mathematics. Although student mathematics knowledge retention increased for both the control and treatment groups, student attitudes toward mathematics decreased after the intervention for the treatment group.

Effects Of Guided Project-Based Learning Activities On Students’ Attitudes Toward Statistics In An Introductory Statistics Course, Timothy Jonathan Bayer

STEMPS Theses & Dissertations

This research sought to determine if the use of a guided project-based learning instructional approach improved students’ attitudes and academic performance in a college-level introductory statistics course at a community college. It also sought to determine if the guided project-based approach improved attitudes and academic performance more than a traditional lecture-based instructional approach. The research used a quasi-experimental Pre-test, Post-test approach. The independent variable was either the use of a guided project-based learning instructional approach or the use of a traditional lecture-based instructional approach. The dependent variables were student attitudes and final course grades. Students’ attitudes were measured using the …

The Effects Of The Ride Strategy On Teaching Word Problem Solving Skills To Students With Learning Disabilities, Sandra Kay Locke

Theses and Dissertations

The purpose of the present study was to evaluate the effects of the RIDE, a mnemonic device on solving word problems for middle school students with Learning Disabilities and to examine the teacher and student satisfaction in teaching and learning using RIDE to solve word problems. Two male 8th graders participated in this study. They were both classified as having learning disabilities and were learning mathematics at a 3rd grade level. A single subject design with ABC phases was used in this study. During the baseline, the students were given a quiz with 5 word problems each day for ten …

Social Justice And Writing In A Math Classroom, Jesica Chaya

Honors Senior Capstone Projects

By intertwining new math concepts with important and relevant social issues, teachers can empower students to recognize the applicable nature of math to problems that their generation will be dealing with for years to come. In doing this, they can also change students’ perceptions of what succeeding in a math class looks like and address a rising necessity for writing across the curriculum by connecting these social justice based plans with writing assignments that encourage and reinforce vocabulary and a deep understanding of the material.

Using Relevance To Inspire Engagement In Disengaged Secondary Mathematics Students, Cherie Lynn Burkett

MSU Graduate Theses

With the advances being made in technology, our nation is in dire need of a work force degreed with mathematics and science. In the past few decades, the United States has seen a decline in the proportion of college graduates who majored in mathematics-intensive subjects. If our demand is high, why is our supply decreasing? Research suggests that traditional teaching methods using skills-based curricula make it difficult for students to take an interest in a confusing topic like mathematics in which they see no immediate relevance. I have spent a semester engaged in action research taking steps to increase student …

Academic And Peer Status In The Mathematical Life Stories Of Students, Carol Ann Wise

Theses and Dissertations

Mathematics students often define themselves by their grades, test scores, how they compare to other people, how comfortable they feel in mathematics class, and so on. These experiences are all part of a student's mathematical life story. Students assume positions with particular rights and duties for themselves and for the actors in the stories they tell. Those positions reflect certain types and levels of status. Those types and levels of status have been shown to either inhibit or open a student's access to learning mathematics. Thus, a student's status in mathematics education is an issue of equity. Mathematics educators and …

Student Evaluation Of Mathematical Explanations In Aninquiry-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 …

Secondary Mathematics Teachers’ Attitudes And Beliefs Toward Statistics: Developing An Initial Profile, Christina M. Zumbrun

Dissertations

Over the last several decades, mathematics education researchers have given increased attention to students’ and teachers’ attitudes and beliefs toward mathematics and statistics, but no work has been done that examines practicing secondary mathematics teachers’ (SMTs’) attitudes and beliefs towards statistics in light of the GAISE framework and the Common Core State Standards for Mathematics (CCSSM). This study begins to address this gap in the research by creating the Teacher Attitude and Beliefs toward Statistics Survey (TABSS), a synthesis of items taken from the Survey of Attitudes Toward Statistics (Schau, 2003), the Statistics Course Attitude Scale and newly developed items …

Recommendations For Teachers And Researchers: Supporting Female Learners Of Secondary Mathematics: A Review Of Literature, Lauren Ashley Watts

Masters Theses

This literature review is intended to collect recommendations for practices in secondary education that promote gender equity in math and science. A brief overview of the history of gender and gender equity in mathematics, science and related fields will be provided, along with an examination of current aspects of gender equity in science and math that remain to be addressed. Recommendations for practices of secondary mathematics teachers that promote gender equity will be given with reference to practice theory and situated learning.

Precalculus Students' Achievement When Learning Functions: Influences Of Opportunity To Learn And Technology From A University Of Chicago School Mathematics Project Study, Laura A. Hauser

USF Tampa Graduate Theses and Dissertations

The concept of function is one of the essential topics in the teaching and learning of secondary mathematics because of the central and unifying role it plays within secondary and college level mathematics. Organizations, such as the National Council of Teachers of Mathematics, suggest students should be able to make connections across multiple representations of mathematical functions by the time they complete high school. Despite the prominent role functions play in secondary mathematics curriculum, students continue to struggle with the complex notion of functions and especially have difficulty using the different representations that are inherent to functions (algebraic, graphical and …

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 …

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 & …

Assessing U.S. High School Mathematics Students' Dependency On Calculators For Basic Arithmetic Operations Involving Integers From Single-Digit Fact Families, John Jeremy Sneed

Open Access Theses & Dissertations

This study was designed to investigate the extent to which high school students use calculators to perform basic operations, and how well they actually perform those same operations without using calculators. The investigation involved the testing of math classes of students--male and female, mixed ethnicities--in grades nine through twelve. Students were asked to perform all four basic math operations (add, subtract, multiply, divide) involving integers based on single-digit addition and multiplication fact families with and without calculators. The testing was in two environments--timed and untimed, with students recording their completion times--in order to investigate discrepancies in students' calculator use in …

Rehearsal And Enactment For Teaching In Urban School Settings: A Qualitative Study Investigating The Connections Between A Math Methods Course And Fieldwork, Rajeev Virmani

Doctoral Dissertations

In this dissertation, I studied teacher education reform efforts aimed at improving the preparation of preservice teachers through the use of rehearsals in a math methods class. As many experts in the field of teacher education call for curricula in which preservice teachers learn from and in practice, I investigated a type of pedagogy called rehearsals within a practice-based teacher education setting that may afford preservice teachers with the initial preparation needed to become effective teachers.

In this qualitative study, I examined how three preservice teachers and math methods instructors rehearse the high leverage practice of leading a whole-class discussion. …

Insights Into The Beliefs And Practices Of Preservice Elementary Mathematics Teacher Educators: A Naturalistic Inquiry, Linda Ann Arnold

Doctoral Dissertations

The purpose of this naturalistic inquiry was to explore and analyze aspects of the reported beliefs and practices of a group of preservice elementary mathematics teacher educators. Until now, researchers have had little understanding of beliefs and practices of teachers in elementary mathematics methods classrooms, despite the fact that teacher educators’ beliefs and practices have profound effects on what happens in thousands of classrooms every day. The qualitative research in this study offered insights with the potential to inform higher educational practice in regard to the preparation of elementary mathematics teachers and mathematics teacher educators. Participants were six professors and …

Investigating The Impact Of Interactive Applets On Students’ Understanding Of Parameter Changes To Parent Functions: An Explanatory Mixed Methods Study, Robin R. Mcclaran

Theses and Dissertations--Science, Technology, Engineering, and Mathematics (STEM) Education

The technology principle in the Principles and Standards for School Mathematics (NCTM, 2000) states that technology plays an important role in how teachers teach mathematics and in how students learn mathematics. The purpose of this sequential explanatory mixed-methods study was to examine the impact of interactive applets on students’ understanding of parameter changes to parent functions. Students in the treatment classes were found to have statistically significantly higher posttest scores than students in the control classes. Although the data analysis showed a statistically significant difference between classes on procedural understanding, no statistically significant difference was found with regard to conceptual …

Teaching And Learning Algebra 1 Via An Intelligent Tutor System: Effects On Student Engagement And Achievement, Karen Kerner Lucas

Doctoral Dissertations

This study investigated the implementation and outcomes of blended learning that integrated Apangea Math, an online intelligent tutor system (ITS), with face-to-face instruction for the teaching and learning of Algebra 1. It took place in a Title I urban high school where 75 ninth grade students and their teachers enacted the blended learning program for one semester. Students from the same high school who received face-to-face instruction alone during a previous semester served as a comparison group. Flow theory was proposed as an explanation for why the ITS program was expected to increase student engagement and improve student achievement.

This …

On The Nature Of Students' Digital Mathematical Performances, Ricardo Scucuglia Rodrigues Da Silva

Electronic Thesis and Dissertation Repository

In this study I investigate the nature of digital mathematical performances (DMPs) produced by elementary school students (Grades 4-6). A DMP is a multimodal text/narrative (e.g., a video) in which one uses the performance arts to communicate mathematical ideas. I analyze twenty-two DMPs available at the Math + Science Performance Festival in 2008. Assuming a sociocultural/postmodern perspective with emphasis on multimodality, my focus is on the role of the arts and technology in shaping students’ mathematical communication and thinking. Methodologically, I employ qualitative case studies, along with video analysis. I conduct a descriptive analysis of each DMP using Boorstin’s (1990) …

A Conceptual Framework For Student Understanding Of Logarithms, Heather Rebecca Ambler Williams

Theses and Dissertations

In the past, frameworks for what it means for students to understand elementary mathematical concepts like addition have been well-researched. These frameworks are useful for identifying what students must understand to have a good grasp of the concept. Few such research-based frameworks exist for secondary mathematical topics. The intent of this study was to create such a framework for what it means for students to understand logarithms, a topic that has been under-researched up to this point. Four task-based interviews were conducted with each of four different preservice secondary mathematics teachers in order to test a preliminary framework I had …

Mathematically Gifted Students' Experiences Of Challenge With Cognitively Guided Instruction, Kim Krusen Mccomas

Graduate Theses and Dissertations

This study examined to what extent and in what ways mathematically gifted students were challenged in two elementary classrooms taught by exemplary teachers using the principles of Cognitively Guided Instruction (CGI). The two case studies included a third grade class and a fourth/fifth split grade class, with five mathematically advanced participants from each grade. A top tier and a second tier of mathematically advanced students were identified, with the top tier of five students identified as mathematically gifted. Classroom observations of CGI math lessons, interviews with students and teachers, and analysis of students' problem-solving strategies were conducted over a five …

Professionalism: What Is It And Are We Teaching For It?, Brian K Tate

Doctoral Dissertations

With rising accountability standards and the need for content specialists within education, the qualifications of mathematics teachers have become increasingly scrutinized. For over three decades, within the parameters of educational reform, the need for the professionalization of teaching has reoccurred (Carnegie Task Force, 1986). When examining the nature of teacher professionalism, no concise definition within the educational community exists (Noddings, 1992). The purpose of this study was to take characteristics defined by the medical and law fields and use them to develop a definition of professionalism within mathematics education. Once a clear set of characteristics was identified, the study then …

Understanding Teachers' Change Towards A Reform-Oriented Mathematics Classroom, Linnae Denise Williams

Theses and Dissertations

Within the current mathematics teacher population there are teachers that want to change from traditional teaching styles to become more reform-oriented (i.e. focusing on student understanding rather than procedures). Many of these teachers do not know how to begin this change. This research looks into the tools that are most valuable for teachers as they change from traditional teaching practices to include more reform-oriented teaching practices. Through this phenomenological study, six successful reform-oriented teachers were interviewed to understand what tools they found to be most valuable in their process of change. The interviews uncovered a common guiding principle that facilitates …

Selecting Effective Mathematics Interventions In The Rti Process Via Brief Experimental Analyses, Carmen Daniela Reisener

Dissertations

The treatment utility of brief experimental analyses (BEAs) for identifying effective treatments for individual students experiencing mathematics difficulties is a novel area of research; especially in a Response-to-intervention (Rtl) framework. One fourth and three sixth grade students served as participants in the current study. The effects of a variety of evidence-based mathematics computation fluency interventions were examined in a BEA format. Effective treatments identified from the BEA for each participant were alternated during an extended analysis. The results of the current investigation indicated variability within and across participants in response to a variety of evidence-based interventions. Visual analysis of the …

The Influence Of Risk Taking On Student Creation Of Mathematical Meaning: Contextual Risk Theory, Erin Nicole Houghtaling

Theses and Dissertations

The primary concerns of mathematics educators are learning and teaching mathematics. It is, therefore, natural to ask "what implications and benefits might there be if learning were perceived as a risk-taking event?" (Atkinson, 1957, p. 266). The underlying motivation of this study is to analyze the risks students take in the mathematics classroom and how risk influences student creation of meaning and development of understanding. I define risk in the mathematics classroom to be any observable act that entails uncertain outcome. The research presented here focuses on a table of four students: Andrew, Carina, Kam, and Mark as they grapple …

Uncovering Transformative Experiences: A Case Study Of The Transformations Made By One Teacher In A Mathematics Professional Development Program, Rachelle Myler Orsak

Theses and Dissertations

Effective professional development is vital for improving mathematics teaching (National Council of Teachers of Mathematics [NCTM], 2007), so studying effective professional development programs is important to the field of mathematics education. This case study presents findings on one teacher, Rebecca, and her experiences in a five-semester mathematics professional development for elementary teachers. The participants in this professional development engaged in collaborative problem solving of challenging mathematical tasks over extended periods of time. I used qualitative research methods based on grounded theory methodology (Charmaz, 2006) to analyze Rebecca's entrance and exit surveys, video data of Rebecca's individual interviews, and video data …

Mathematics Student Teaching In Japan: A Multi-Case Study, Allison Turley Shwalb

Theses and Dissertations

Nearly all research that seeks to assist in reforming mathematics student teaching in the United States has been limited in that it (1) does not consider student teaching models in non-Western cultures, and (2) has not sufficiently studied the unique context of mathematics in student teacher-cooperating teacher interactions. This multi-case study addresses these issues by analyzing the interactions between three cooperating teachers and two student teachers in the mathematics student teaching setting in Japan. Four conclusions are presented to generate a coherent picture of the principles of teaching and learning to teach that are emphasized during this Japanese student teaching …

Similar But Different: The Complexities Of Students' Mathematical Identities, Diane Skillicorn Hill

Theses and Dissertations

We, as a culture, tend to lump students into broad categories to describe their relationships with mathematics, such as ‘good at math’ or ‘hates math.’ This study focuses on five students each of whom could be considered ‘good at math,’ and shows how the beliefs that make up their mathematical identities are actually significantly different. The study examined eight beliefs that affect a student's motivation to do mathematics: confidence, anxiety, enjoyment of mathematics, skill level, usefulness of mathematics, what mathematics is, what it means to be good at mathematics, and how one learns mathematics. These five students' identities, which seemed …

How Eighth-Grade Students Estimate With Fractions, Audrey Linford Hanks

Theses and Dissertations

This study looked at what components are in student solutions to computational estimation problems involving fractions. Past computational estimation research has focused on strategies used for estimating with whole numbers and decimals while neglecting those used for fractions. An extensive literature review revealed one study specifically directed toward estimating with fractions (Hanson & Hogan, 2000) that researched adult estimation strategies and not children's strategies. Given the lack of research on estimation strategies that children use to estimate with fractions, this study used qualitative research methods to find which estimation components were in 10 eighth-grade students' solutions to estimation problems involving …

The Main Challenges That A Teacher-In-Transition Faces When Teaching A High School Geometry Class, Greg Brough Henry

Theses and Dissertations

During a semester-long action research study, the author attempted to implement a standards-based approach to teaching mathematics in a high school geometry class. Having previously taught according to a more traditional manner, there were many challenges involved as he made this transition. Some of the challenges were related to Geometry and others were related to the standards-based approach in general. The main challenges that the author encountered are identified and discussed. A plan of action for possible solutions to these challenges is then described.