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An Examination Of How One University Is Preparing Elementary And Middle Level Education Majors For Common Core Mathematics, Michelle Elizabeth Schwartze

Theses and Dissertations

In 2010 the Common Core State Standards (CCSS) for mathematics and English Language Arts were introduced into K – 12 classrooms (Common Core State Standards Initiative, 2015b). The standards for mathematics focus on having students demonstrate and explain understanding more than the standards have in the past (Burns, 2013). McCallum (2011) divides the eight Standards for Mathematical Practice into four main themes: reasoning and explaining, modeling and using tools, seeing structure and generalizing, and overarching habits of mind of a productive mathematical thinker. These four themes encompass what a mathematics classroom should look like when utilizing the CCSS for mathematics. …

Secondary Mathematics Teachers' Learning Through Practice: The Case Of Rudy, Theodore John Rupnow

Theses and Dissertations

In this study I investigated teachers’ learning through practice. Teachers learn in teacher preparation programs and in professional development, but the most personal learning occurs in practice. Teachers spend much of their time isolated from colleagues, participating in classroom communities instead of professional communities. If teacher educators want to understand the potential for learning in the space where teachers spend much of their time it is necessary to investigate the learning that is occurring in classroom practice. To pursue this end, I explored one secondary mathematics teacher’s learning in practice. I observed and video-recorded this teacher’s classroom practice for one …

An Intervention Study Aimed At Enhancing Seventh-Grade Students’ Development Of The Concept Of A Variable, Sinan Kanbir

Theses and Dissertations

Thirty-two seventh-grade students attending a public middle school in a rural district in a midwestern state of the United States of America participated in a mixed-method intervention study aimed at enhancing student understandings of the algebraic concept of a variable, especially in relation to structure and modeling. Participating students were randomly allocated to two class groups, with one class initially being taught by Mr. X and the other by Mr. Y, who had both participated in professional development sessions led by two senior mathematics educators. Mr. X initially led one of the class groups in seven sessions on algebraic structures …

Why Are Students Doing Research? Examining The Motivation Of Students Involved In Undergraduate Research Programs, Andrew Layne Mcdevitt

Theses and Dissertations

Use of self-determination theory (SDT) within the science classroom focuses primarily on ways to integrate intrinsic motivation into students' identity. Experiential learning plays a large role in promoting learning by shaping students' interests, identity, and intrinsic aspirations. This phenomenological research study sought to understand how experiential learning experiences helped influence career aspirations of graduate students within ecological disciplines. By determining how their experiences met three basic psychological needs outlined by SDT (competence, autonomy, and relatedness), we were able to examine which regulators drove motivation.

In the qualitative pilot study, participants developed a genuine enjoyment and appreciation for their discipline as …

The Assessment Of Scientific Reasoning Skills Of High School Science Students: A Standardized Assessment Instrument, Shane Hanson

Theses and Dissertations

The main goal of science education has been achieving scientific literacy. However, this has been no easy task considering that scientific literacy has many definitions that involve a plethora of activities. This means that assessing the topic becomes quite challenging, especially if this is done with some sort of overarching instrument. Fortunately, Shamos (1995) has characterized the many dimensions of scientific literacy into three levels. These dimensions can then be assessed individually, making the task of assessment less overwhelming. The highest level, true scientific literacy contains dimensions that are discussed in this study, which already have individual assessments. Wenning's Nature …

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 …

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 …

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 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 …

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 …

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 …