Education Commons^™

Elementary Teachers' Definitions And Usage Of Inquiry-Based Mathematics Instruction, Heather Nunnally

Theses and Dissertations

Current educational leaders call for students to build his or her own mathematical understanding from experiences, coupled with feedback from peers, teachers, and themselves and gain a conceptual understanding of mathematics. Researchers agree that inquiry in the elementary mathematics classroom can help increase conceptual understanding.

This case study focused on how elementary teachers define inquiry-based mathematics and implement it in their classrooms. Interviews, observations and lesson analysis were used to investigate what identities, relationships and activities look like in an elementary classroom that uses inquiry.

All of the participants felt "problem solving" and "working collaboratively" were essential for inquiry but …

How Teacher Questions Affect The Development Of A Potential Hybrid Space In A Classroom With Latina/O Students, Casandra Helen Job

Theses and Dissertations

Questions have been shown to aid in student understanding of mathematics, particularly "novel" questions (Mesa, Celis, & Lande, 2013) that do not have a predetermined answer. However, students do not always understand what is intended by questions posed by teachers, particularly those students who come from different cultural and lingual backgrounds than those dominant in the classroom discourse. This project investigated the relationship between how a mathematics teacher acknowledged students funds of knowledge in her questions and how Latina/o students responded. It shows some research based questioning techniques that allow Latina/o students greater opportunity to participate in the mathematical problem-solving …

Teacher Graphing Practices For Linear Functions In A Covariation-Based College Algebra Classroom, Konda Jo Luckau

Theses and Dissertations

Graphing is a fundamental topic in algebra that is notoriously difficult for students. Much of the past research has focused on conceptions and misconceptions. This study extends past research by looking at the mathematical practices of a practitioner, specifically one instructor of a function-based covariation-focused algebra class in the linear functions unit. Considering practices in addition to conception adds dramatically to our understanding of mathematical activity because it leads to explicit descriptions of normative purposes that are connected to particular situations or problems and also specifies how tools and symbols are coordinated to achieve these purposes. The results of this …

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 …

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 …

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 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 …

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 …

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.

What Are Some Of The Common Traits In The Thought Processes Of Undergraduate Students Capable Of Creating Proof?, Karen Malina Duff

Theses and Dissertations

Mathematical proof is an important topic in mathematics education research. Many researchers have addressed various aspects of proof. One aspect that has not been addressed is what common traits are shared by those who are successful at creating proof. This research investigates the common traits in the thought processes of undergraduate students who are considered successful by their professors at creating mathematical proof. A successful proof is defined as a proof that successfully accomplishes at least one of DeVilliers (2003) six roles of proof and demonstrates adequate mathematical content, knowledge, deduction and logical reasoning abilities. This will typically be present …

An Examination Of The Role Of Writing In Mathematics Instruction, Amy Jeppsen

Theses and Dissertations

This study uses qualitative methods to investigate the use of writing in a content course for elementary education majors in which writing was considered an important part of mathematical learning. The study differs from previous studies by investigating the role of writing in the everyday instructional activities, rather than investigating writing as a separate mathematical activity. An analysis of the instruction and class discussions that took place in this class reveals that components of writing that were addressed implicitly and explicitly in classroom instruction were developed simultaneously with conceptual understanding, suggesting a much stronger and more integral relationship between writing …