Science and Mathematics Education Commons^™

An Investigation Of Pre-Service Elementary-School Teachers' Knowledge Of Properties Of Real Numbers, Okemwa Ogega Monandi

Theses and Dissertations

Current recommendations for school mathematics include teaching algebra as a K–12 content stranding beginning in the elementary-school grades. The focus of this study was on preservice elementary mathematics teachers’ knowledge of algebra content in the intended curriculum for K–8 mathematics. In the Common Core State Standards for Mathematics (CCSSM), great emphasis is placed on numerical structure, and the usefulness of number properties in algebraic manipulation. In this study, preservice teachers’ knowledge of structural properties was explored. The purpose of this study was to investigate the knowledge that preservice elementary teachers have about number properties and whether they could apply these …

Perceptions Of The Indonesia National Curriculum In Relation To Integrated Stem Education At The High School Level, Andinisa Rahmaniar

Theses and Dissertations

High school students need 21st-century skills to be competitive in the global economy. STEM education, coupled with problem-solving, critical thinking, innovation, and written and oral communication skills are essential for high school students. In Indonesia, STEM education is not as common as in the United States; some teachers in Indonesia use STEM as a learning method, but it is not included as a major component in the Indonesian curriculum. This study aimed to analyze (a) how teachers implement STEM-based lessons, including hands-on activities and project-based learning in relation to the Indonesian National Curriculum and (b) teachers’ prior knowledge about integrating …

Does Our Relationship With Nature Influence Our Argumentation Skills About Biodiversity Conservation?, Iresha Nadeeshani Jayasinghe

Theses and Dissertations

Understanding human treatment towards nature provides insight into mitigating human induced environmental issues. This study determines whether individuals’ relationships with nature (NR), emotions experienced during evidence evaluation, and conservation concern drive evaluation of arguments made about biodiversity conservation. Although we predicted that participants with strong NR would exhibit motivated reasoning, resulting in strong argument-evaluation skills as they evaluate an anti-conservation argument, we found that participants’ emotions during evidence evaluation were more predictive of their argument-evaluation skills. Further, participants with either low or high conservation concern demonstrated better argumentation skills. These findings suggest that while fostering strong relationships with nature may …

Reconsidering Undergraduate Anatomy And Physiology Curriculum, Eric Michael Walsh

Theses and Dissertations

In the past 50 years several convergent factors have spurred unprecedented change in anatomy and physiology (A&P) instruction. An explosion of biomedical knowledge, an increased demand for students well-versed in A&P, and decreased resources for the course has provoked a vast array of research. However, most studies employ one of three strategies to enact change: testing the effectiveness of new pedagogies, exploring the utility of new technologies, or documenting learning in new contexts. By comparison, a much smaller body of research focuses on changing the A&P curriculum to improve student learning. To address this gap, the musculoskeletal curriculum for an …

Visions For Mathematics Instruction, Instructional Practices, And Common Core: Individuality In Large-Scale Reform, Kelsey A. Clarkson

Theses and Dissertations

The Common Core content standards and standards for mathematical practice (SMP) have introduced an unprecedented opportunity in U.S. history to consider the implications of a national scale standards reform effort that provides teachers the individualistic opportunity to select instructional practices aimed at achieving the standards. The content standards and SMP specifically lay out what students should be able to do by the end of each grade but do not describe how teachers should support students through instructional practices in order to achieve these goals (CCSSI, “Myths About Implementation,” para. 1). Seemingly in contradiction to the Common Core State Standards Initiative’s …

Preservice Teachers Making Sense Of Fraction Concepts And Operations In A Mathematics Education Content Course, Deksiyos Demissie Desta

Theses and Dissertations

Twenty-five first-year preservice teachers attending a university in the Midwest of the United States of America participated in a whole-class-setting study aimed at investigating their knowledge of how they made sense of fraction concepts and operations, and how the development of this knowledge was facilitated during a mathematics education content course. Classroom mathematical practices of the content course that became “taken-as-shared” overtime were documented using the three-phase data analysis framework of Stephan and Rasmussen (2002, 2008). In the first phase of the analysis, whole-class discussion of fraction concepts and operations were transcribed and noted each time preservice teachers drew conclusions. …

Investigating Pre-Service Secondary Mathematics Teachers’ Reasoning When Learning Trigonometry Using The Line Segment Approach, Lawrence Ssebaggala

Theses and Dissertations

Review of the history of trigonometry content and pedagogy indicates the necessity and importance of trigonometry in the school curriculum (e.g., van Brummelen, 2009; van Sickel, 2011). For example, understanding trigonometric functions is a requirement for understanding some other areas of science, such as Newtonian physics, architecture, surveying, and several branches of engineering. Research indicates that teachers have a narrow and inadequate understanding of trigonometry, researchers (e.g., Hertel, 2013; van Sickel, 2011; Weber, 2005) posited that learning trigonometry in a way that fosters and advances quantitative reasoning can help alleviate difficulties faced in the teaching of trigonometry. Examining participants’ reasoning …

Supporting Intermediate Teachers' Implementation Of The Ngss Through A Collaboration Based On Mutuality, Elisha Nichole Swanson

Theses and Dissertations

The Next Generation Science Standards (NGSS) are based on a wealth of research on science education and student learning and written by a range of experts from relevant fields. This study is significant and timely, given the recent release of these standards which are designed to build a scientifically literate and productive society. The potential impact on K-12 students rests on the shoulders of educational professionals in the schools. The elementary level presents a unique set of challenges for quality science instruction, implicating a need for classroom support to address limiting factors. The scope of the study is narrow; a …

Preservice Teachers’ Creation Of And Beliefs About Culturally Responsive And Critical Mathematics Tasks, And Their Beliefs About The Students For Whom Their Tasks Were Intended, Tisa Trask

Theses and Dissertations

In this study, case study methodology was used to explore secondary mathematics preservice teachers (PSTs) attempts to construct tasks for lower income, predominantly African American students at a cultural immersion site who PSTs encountered frequently and interviewed. PST beliefs about their tasks and their students were also investigated. The first research aim of this study was to investigate PSTs’ attempts to create culturally responsive mathematics tasks for themselves and for the students. PSTs incorporated students’ personal and cultural details in tasks for the students. However, they had greater difficulty integrating cultural backdrops into the primary mathematics activities of tasks they …

Changes In Teacher Thinking And Action In Response To The Next Generation Science Standards, Angela R. Bowden

Theses and Dissertations

This study examined the role of K-12 science teachers’ understandings and perceptions of the Next Generation Science Standards, implementation of the new standards in the classroom, and potential barriers to implementation as reform stakeholders had envisioned. Grounded in the relevant literature and working from the Teacher-Centered System Reform framework, this study employed a quantitative approach to data collection. The TCSR Model framed this study by linking teachers’ demographic and professional profile, teaching experience, professional development, district-level, school-level, and classroom-level contexts and illuminates the dynamic effect the factors have on teachers’ thinking and their practice. The study recognizes teachers’ knowledge and …

Learning To See The Forest For The Corn: Establishing Sense Of Place And Community In A Field-Based Ecology Course For Pre-Service Educators, Michelle Edgcomb Friday

Theses and Dissertations

In this dissertation grounded theory techniques were used to characterize pre-service educators’ experiences in a semester-long, field-based ecology course. Through participation in a citizen science project, participants formed a community of practice that extended their conceptions of themselves as ecology students and scientists. Extended field experiences in a variety of local ecosystems contributed to the development of a sense of place. Paired fieldwork with lecture aided their developing ecological literacy and their understanding of place-based pedagogy. All of these combined to support their growing understanding of their role in field-based ecology education. Lack of background in ecology and ecology pedagogy …

The Look Of Pedagogical Content Knowledge In Middle School Statistics, Dhimitraq Duni

Theses and Dissertations

In this study, I attempt to examine the nature of pedagogical content knowledge (Shulman, 1986) that teachers exhibit while observing computer-animated animations that bring up pedagogical issues in the classroom. In-service teachers were asked to view different animations and react to different prompts about the animations. Later, teachers were interviewed to prompt more discussion of pedagogical issues with the intention of clarifying their stance and their knowledge of pedagogy. The computer animations were utilized as a surrogate for classroom teaching, highlighting issues that could be otherwise overlooked during live teaching observation.

Beyond Problem-Solving: Elementary Students’ Mathematical Dispositions When Faced With The Challenge Of Unsolved Problems, Jenna R. O'Dell

Theses and Dissertations

The goal of this study was to document the characteristics of students’ dispositions towards mathematics when they engaged in the exploration of parts of unsolved problems: Graceful Tree Conjecture and Collatz Conjecture. Ten students, Grades 4 and 5, from an after-school program in the Midwest participated in the study. I focused on the cognitive, affective, and conative aspects of their mathematical dispositions as they participated in 7 problem-solving sessions and two interviews.

With regard to cognitive aspects of the students’ dispositions, I focused on the students attempts to identify and justify patterns for labeling graphs. Overall, the unsolved problems were …

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 …