Science and Mathematics Education Commons^™

The Relationship Between Teaching Approaches And Student Science Achievement For Four Racial Groups In Us Eighth Grade Classes, Su Gao

UNLV Theses, Dissertations, Professional Papers, and Capstones

Lower science achievement and substantial racial performance gaps persist among students in the US. In the current reform of science teaching, inquiry-based science teaching is assumed effective in improving all student science learning in both scientific content and process and reducing learning gaps across racial groups. Conversely, traditional didactic science teaching is believed to be the most popular and has contributed to lower science achievement and the racial gap. These two assumptions, although central to science teaching reforms, cannot be empirically sustained in the existing literature on science teaching. Framed through the theoretical perspectives of inquiry-based instruction and culturally relevant …

Mathematical Content Knowledge For Teaching Elementary Mathematics: A Focus On Whole-Number Concepts And Operations, Eva Thanheiser, Ian Whitacre, George J. Roy

Mathematics and Statistics Faculty Publications and Presentations

This report represents part of a recent effort to summarize the state of knowledge of prospective elementary teachers' (PTs') mathematics content knowledge and the development thereof. Extensive reviews of the research literature were conducted by a recent PME-NA Working Group across various content areas. This report focuses on whole number and operations. Research in this area is scarce. What we do know from the literature is that PTs' knowledge of whole number and operations is insufficient and in need of improvement. PTs reason about whole numbers and operations in ways that are tied to the standard algorithms. At the same …

The Experiences Of Women In Post Graduate Physics And Astronomy Programs: The Roles Of Support, Career Goals, And Gendered Experiences, Ramón S. Barthelemy

Dissertations

In physics and astronomy the low representation of women is obvious at every stage of the educational pathway from undergraduate students to full professors. These low numbers perpetuate themselves by failing to create new mentors to foster the next generation of women. Women and men also have different experiences as they traverse into physics and astronomy careers. Women often experience chilly climates, discrimination, and challenges coordinating the demands of young families with their careers. In the literature exploring this topic, little focus is put on the experiences of women graduate students in physics and no focus is put on women …

Evaluating The Use Of The Math Reasoning Inventory For Improvement In Fraction Instruction, Kathy Huffman Boyer

Dissertations

In an attempt to close the mathematic achievement gap between students from the United States and students from other countries, a new national set of standards, the Common Core State Standards for Mathematics, was developed and adopted by the state of Michigan in 2010. These standards emphasize mathematical reasoning and application, rather than the previous emphasis on performing calculations. Unfortunately, teachers generally have had little training in how to assess students’ mathematical reasoning, how to teach mathematical reasoning, or how to provide remediation to those students who show need. The purpose of this study was to see if use of …

Instructional Change In Academic Departments: An Analysis From The Perspective Of Two Environment-Focused Change Strategies, Kathleen M. Quardokus

Dissertations

Numerous reports demand changes in college and university teaching practices. This is especially true for science, technology, engineering and mathematics (STEM) disciplines. STEM stakeholders are concerned about student retention within STEM majors, as well as the lack of sufficient graduates with the knowledge to advance these fields. A common conclusion of these reports is that teaching practices must change. Although these calls for change have occurred for decades, STEM fields have yet to experience widespread change. Thus, there is a need for more effective change strategies. Recently, researchers have suggested that effective change strategies should focus on changing the environments …

Eliciting Elementary School Students’ Informal Inferential Reasoning Through Storytelling, Dustin Owen Smith

Dissertations

One growing area of research on statistical learning is Informal Inferential Reasoning (IIR). Makar and Rubin (2009) describe IIR as having three components: making and evaluating inferential claims, supporting claims explicitly with data, and attending to the inherent uncertainty present in statistical inference-making. This dissertation study was built around developing a method for providing opportunities for elementary school students (Grades K, 2, and 4) to engage with IIR within the context of stories and storytelling through a method called Storytelling-Questioning. After interacting with and discussing two separate stories, it was found that students of each grade level were able to …

Gravity & Einstein: Assessing The Rubber Sheet Analogy In Undergraduate Conceptual Physics, Tiffany Rae Watkins

Boise State University Theses and Dissertations

The rubber sheet analogy for Einstein’s General Relativity model of gravity is a popular way to visualize the effect mass has on the curvature of spacetime. My single group, quasi-experimental study with repeated measures was designed to assess the effectiveness of the rubber sheet analogy in teaching gravitational fields. I developed instructional materials, including a hands-on lab, to engage university students in thinking about gravity using the rubber sheet analogy. Previous research on students’ ideas about gravity informed the development of the pre/post-test. My work is an important first step in establishing a standard assessment on gravity.

Approximately 97 students …

The Effects Of Combining Looping, Cognitively Guided Instruction, And Ethnicity: How They Can Collectively Improve Academic Achievement, Matthew Brandon Wilson

Graduate Theses and Dissertations

The purpose of this quantitative study is to gain an understanding of the powerful instructional potential of combining the practice of looping, Cognitively Guided Instruction (CGI) professional development strategies, and the impact these practices have in addition to ethnicity in elementary education. The study focused on research questions pertaining to student's Measure of Academic Progress (MAP) scores and the implementation of looping, CGI strategies, and how ethnicity impacted student achievement.

This study emphasizes two types of statistical tests to determine how significant CGI and looping practices impacted growth in mathematics on the MAP test for different ethnic groups. A Chi-Square …

Prospective Elementary Mathematics Teacher Content Knowledge: What Do We Know, What Do We Not Know, And Where Do We Go?, Eva Thanheiser, Christine Browning, Alden Edson, Jane-Jane Lo, Ian Whitacre, Dana Olanoff, Crystal Morton

Mathematics and Statistics Faculty Publications and Presentations

The authors reviewed 112 research studies from 1978 to 2012 on prospective elementary teachers' content knowledge in five content areas: whole numbers and operations, fractions, decimals, geometry and measurement, and algebra. Looking across these studies, this final paper identifies the trends and common themes in terms of the counts and types of studies and commonalities among findings. Analyses of the counts show that the number of articles published each year focusing on prospective teacher (PT) content knowledge is increasing. Most articles across the content areas show that PTs tend to rely on procedures rather than concepts. However, the focus of …

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 …

Impact Of Mathematics Computer-Assisted Instruction On English Language Learner Achievement, Christie Jacquelyn Jay

Graduate Theses and Dissertations

This quasi-experimental study examined the effect of supplemental mathematics computer-assisted instructional programs on the achievement of students in grades three and four over a two year period. This study evaluates the computer-assisted instruction (CAI) supplemental interventions through the lens of the sheltered instruction approach to teaching English Language Learner (ELL) students. The students who took part in the intervention attended nine elementary schools in one Arkansas district in the 2011-2012 and 2012-2013 school years. Data from Measures of Academic Progress (MAP) assessments were analyzed using a factorial ANOVA with pretest and two posttests over the course of two school years. …

Supporting Representation-Rich Problem-Solving In High School Physics, Lyrica L. Lucas

Department of Teaching, Learning, and Teacher Education: Theses and Other Student Research

The literature on physics education research (PER) promotes the use of multiple representations (such as pictures, diagrams, written explanations, and mathematical expressions) to enhance the problem-solving ability of students through instruction. The purpose of this study was to explore the use of a scaffolding strategy that involved the use of multiple representation tasks in problem-solving in a modeling physics class in high school. Another class with similar background was selected as a comparison group. In 12 in-depth problem-solving interviews of students drawn from the two classes, I investigated in detail how the students responded to the multiple representations tasks and …

Weaving Experimental Skills Throughout The Introductory Laboratory, John Zwart

Faculty Work Comprehensive List

The laboratory portion of an introductory course sequence can be used to meet a wide variety of goals ranging from illustrating phenomena studied in class, to building intuition about how the physical world works, to confronting the unexpected. Helping students develop experimental skills is a crucial goal that needs to be addressed in lab, especially in light of the fact that most introductory textbooks do not specifically address this topic. Important skills that students should learn in lab include how to analyze data, how to communicate results and the art of designing an experiment. This presentation will discuss how we …

A Women In Mathematics, Computer Science, And Physics Course, Jim Crumley, Kristen Nairn, Lynn Ziegler, Pamela L. Bacon, Yu Zhang

MapCores Faculty Publications

Increasing women's participation is a concern in disciplines beyond
physics. As part of our Mathematics, Physics, Computer Science
Research Scholars (MapCores) program, we teach a women in science
class covering these three areas. Our course is a special version of
our college's first year seminar, which is a course designed to
prepare our students to read, write, and speak at a college-level. We
structure our FYS to promote academic confidence and interest in our
disciplines for the women in MapCores. It covers not only contributions
that women have made and barriers that women face in these
disciplines, but also research …

The Magnetopause: Bringing Space Physics Into A Junior Lab, Jim Crumley, Ari Palczewski,, Stephen Kaster

MapCores Faculty Publications

Undergraduate students often have minimal exposure to many subfields
of physics which are active areas of research. Space physics
is an area that is particularly difficult to expose students to since
it builds off of another area that most undergraduates see little of,
plasma physics. The magnetopause is convenient entry point
into space physics, since it can be modeled as a pressure balance, which is
a concept familiar from introductory physics. We use the Earth's
magnetopause as the basis for a lab for junior physics majors. In
the lab students analyze results from a NASA MHD simulation and
data from …

The Discipline Of History And The “Modern Consensus In The Historiography Of Mathematics”, Michael N. Fried

Journal of Humanistic Mathematics

Teachers and students of mathematics often view history of mathematics as just mathematics as they know it, but in another form. This view is based on a misunderstanding of the nature of history of mathematics and the kind of knowledge it attempts to acquire. Unfortunately, it can also lead to a deep sense of disappointment with the history of mathematics itself, and, ultimately, a misunderstanding of the historical nature of mathematics. This kind of misunderstanding and the disappointment following from it--both raised to the level of resentment--run through the paper "A Critique of the Modern Consensus in the Historiography of …

How Do They Know It Is A Parallelogram? Analysing Geometric Discourse At Van Hiele Level 3, Sasha Wang, Margaret Kinzel

Mathematics Faculty Publications and Presentations

In this article, we introduce Sfard's discursive framework and use it to investigate prospective teachers' geometric discourse in the context of quadrilaterals. In particular, we focus on describing and analysing two participants' use of mathematical words and substantiation routines related to parallelograms and their properties at van Hiele level 3 thinking. Our findings suggest that a single van Hiele level of thinking encompasses a range of complexity of reasoning and differences in discourse and thus a deeper investigation of students' mathematical thinking within assigned van Hiele levels is warranted.

Mathematical Tasks And The Student, David Clarke, Heidi Strømskag, Heather Lynn Johnson, Angelika Bikner-Ahsbahs, Kimberly Gardner

Faculty Articles

Mathematics Education has at its core a conception of the mathematical performances that represent the aspirations of the mathematics classroom and curriculum. These performances are constituted through teacher and student participation in the activities stimulated by mathematical tasks selected by the teacher for the realization of an instructional purpose. In this nexus of activity, intention, interpretation and consequence, the mathematical task occupies a central place. This Research Forum provides an opportunity to explore and reflect upon the role that mathematical tasks play in the achievement of the goals of the international mathematics education community. Further, consistent with current curricular and …

Parts Of The Whole: Strategies For The Spread Of Quantitative Literacy: What Models Can Tell Us, Dorothy Wallace

Numeracy

Two conceptual frameworks, one from graph theory and one from dynamical systems, have been offered as explanations for complex phenomena in biology and also as possible models for the spread of ideas. The two models are based on different assumptions and thus predict quite different outcomes for the fate of either biological species or ideas. We argue that, depending on the culture in which they exist, one can identify which model is more likely to reflect the survival of two competing ideas. Based on this argument we suggest how two strategies for embedding and normalizing quantitative literacy in a given …

Quantitative Reasoning Learning Progression: The Matrix, Robert L. Mayes, Jennifer Forrester, Jennifer Schuttlefield Christus, Franziska Peterson, Rachel Walker

Numeracy

The NSF Pathways Project studied the development of environmental literacy in students from grades six through high school. Learning progressions for environmental literacy were developed to explicate the trajectory of learning. The Pathways QR research team supported this effort by studying the role of quantitative reasoning (QR) as a support or barrier to developing environmental literacy. An iterative research methodology was employed which included targeted student interviews to establish QR learning progression progress variables and elements comprising those progress variables, development of a QR learning progression framework, and closed-form QR assessments to verify the progression. In this paper the focus …