Science and Mathematics Education Commons^™

Conventionalizing And Axiomatizing In A Community College Mathematics Bridge Course, Mark Alan Yannotta

Dissertations and Theses

This dissertation consists of three related papers. The first paper, Rethinking mathematics bridge courses--An inquiry model for community colleges, introduces the activities of conventionalizing and axiomatizing from a practitioner perspective. In the paper, I offer a curricular model that includes both inquiry and traditional instruction for two-year college students interested in mathematics. In particular, I provide both examples and rationales of tasks from the research-based Teaching Abstract Algebra for Understanding (TAAFU) curriculum, which anchors the inquiry-oriented version of the mathematics bridge course.

The second paper, the role of past experience in creating a shared representation system for a mathematical operation: …

Mathematics Without Calculations – It’S A Beautiful Thing!, Jason J. Molitierno

Mathematics Faculty Publications

All students should have the opportunity to do mathematics in a meaningful way for the sheer fun of it. Such experiences, if well designed, improve students’ effective thinking skills, increase their appreciation of the beauty and utility of mathematics, and prepare them to be mathematically-literate members of society. This session invites talks on how we can engage the liberal arts student through courses specifically designed for them. We welcome presentations on innovative course design, pedagogy, projects, or activities, as well as talks on tools used to assess such courses. Presentations should include a research basis for the design or pedagogical …

Comparing Math Fluency And Automaticity Using Explicit Timing With Students With Disabilities, Andrew Ehala

Theses and Dissertations

The purpose of this study was to determine the mathematical fluency performance of a group of students with various learning disabilities in an eighth grade classroom by implementing and intervention intensification program that incorporates an explicit timing model. Students demonstrated a wide range of progression with their mathematical fluency with all students showing progress from the start of the study to the conclusion. Analysis of the data determined that students fluency levels increased at a faster rate when provided with a consistent intensive regime of math computational facts. Implications for teaching students with disabilities mathematical fluency are discussed.

First-Year Students: Investigating The Impact Of Participating In A Mathematics Learning Community, Lindsay Barrie

Theses and Dissertations

The purpose of this study was to investigate how participating in a mathematics learning community can impact a first-year students’ experience in college. The total population in the Math Learning Community (MLC) was 40, 36 of these members participated in a survey and five volunteered to participate in an interview. The survey collected demographic information and responses to statements regarding the students’ transition to college, their connectedness to Rowan, their peer interaction, faculty interaction, and their overall satisfaction at Rowan. The interview questions asked about their most and least satisfying aspects of participating in the MLC and what recommendations they …

Research Mathematicians & Mathematics Educators: Collaborations For Change, Greg Oates, Wes Maciejewski

Faculty Research, Scholarly, and Creative Activity

No abstract provided.

Episodic Future Thinking In Mathematical Situations, Wes Maciejewski, Reece Roberts, Donna Rose Addis

Faculty Research, Scholarly, and Creative Activity

Episodic future thinking is a process of mentally projecting one's self into a future event, allowing the event to be experienced before it actually occurs (Atance & O'Neill, 2001). The current study explores the possibility that students engage in episodic future thinking while solving mathematical tasks. Participating students were given mathematical situations and verbalized thoughts that emerged as they planned resolutions to the situations. All participants exhibited episodic future thinking and we present a categorization of these thoughts. Given extant results on the positive influence episodic future thinking has on general problem-solving ability, we propose that a similar influence might …

Session F : Are Australian Mathematical Foundations Solid Enough For The 21st Century?, Ross Turner, Dave Tout

David (Dave) Tout

This presentation will look at some key messages from the Australian results of both the Programme for International Student Assessment (PISA) and the Programme for the International Assessment of Adult Competencies (PIAAC). PISA assesses the mathematical literacy of 15-year-old students around Australia, whilst PIAAC assesses the numeracy proficiency of adults aged 15–74. What do the two surveys assess and are they telling a similar story? How solid are Australia’s mathematical foundations and what do they say about teaching and learning? How do Australia’s results compare internationally with those leading the field? What are some of the research outcomes and implications …

Session F : Are Australian Mathematical Foundations Solid Enough For The 21st Century?, Ross Turner, Dave Tout

Ross Turner

This presentation will look at some key messages from the Australian results of both the Programme for International Student Assessment (PISA) and the Programme for the International Assessment of Adult Competencies (PIAAC). PISA assesses the mathematical literacy of 15-year-old students around Australia, whilst PIAAC assesses the numeracy proficiency of adults aged 15–74. What do the two surveys assess and are they telling a similar story? How solid are Australia’s mathematical foundations and what do they say about teaching and learning? How do Australia’s results compare internationally with those leading the field? What are some of the research outcomes and implications …

Definition Of A Method For The Formulation Of Problems To Be Solved With High Performance Computing, Ramya Peruri

Master of Science in Computer Science Theses

Computational power made available by current technology has been continuously increasing, however today’s problems are larger and more complex and demand even more computational power. Interest in computational problems has also been increasing and is an important research area in computer science. These complex problems are solved with computational models that use an underlying mathematical model and are solved using computer resources, simulation, and are run with High Performance Computing. For such computations, parallel computing has been employed to achieve high performance. This thesis identifies families of problems that can best be solved using modelling and implementation techniques of parallel …

Students' Reasoning With Haptic Technologies: A Qualitative Study In The Electromagnetism Domain, Sadhana Balachandran

Open Access Theses

With abundant applications in the medical training and entertainment industry, haptic technology is slowly making its way into the realm of science education, particularly in conveying abstract and non-visible concepts. Electric field is one such abstract concept. Past studies have shown that learning concepts such as electric fields in a traditional classroom can be quite challenging since students have a hard time visualizing the phenomena and applying its effects to reason. Furthermore, these concepts are the building blocks for more complex concepts such as matter and molecular interactions. Visuo-haptic devices provide a great platform to enable students to visualize and …

Automating Stem Learning By Engaging In Artful-Inspired Play, Katie E. Roth

Open Access Theses

A full range of experimental methodologies split between two distinct yet related projects was performed in an effort to define ways to automate STEM learning in artful-inspired play. Both projects aim to offer impactful learning experiences through artful-inspired activities meant to automate STEM (science, technology, engineering, mathematics) learning in children that are both scientifically and non-scientifically inclined. By participating in play that is both fun and engaging, learning is a byproduct of the activity which acts to automatically embed STEM knowledge and experiences within the user. Bridging the gap between STEM and artistic tendencies has the potential to provide a …

Effects Of Soil Erosion Barriers On Percent Cover And Sediment Size, Michael Perez

STAR Program Research Presentations

Ranching began on Santa Rosa Island in the 1840’s, introducing nonnative megafauna that put selective grazing pressures on endemic species. Dense groves of island oak (Q. tomentella) are aid in sediment deposition and retention. A current restoration effort, involved installing soil erosion barriers, known as wattles, to prevent sediment from being lost upslope and recruit plant growth whose root systems could further stabilize the slope. This experiment was designed to compare percent cover of vegetation growth in areas with and without soil erosion barriers. This was done using the line intercept method (n=42) on three meter transects, measuring …

Relationship Between Mathematical And Radiation Science Scores To Graduation Success With Southwest Virginia Community College Radiography, Donna Corns

OTS Master's Level Projects & Papers

A well trained radiographer is necessary in hospital settings, clinics and physician’s offices. It is necessary for radiologic technologists to have mathematical skills, to possess knowledge of radiation science, to graduate from an accredited radiology program and to pass the national registry certification examination given by the American Registry of Radiologic Technologists. When looking at the attributes necessary for these individuals, a problem was determined. The problem of this study was to see if there is a correlation between grades of radiography students in mathematics and radiation science as predictors of program completion. To guide this study the following hypothesis …

The Educational Journeys Of First-Generation College Women In Stem: A Grounded Theory Study, Susan Geier

Open Access Dissertations

The purpose of this study was to ascertain the various factors that influenced these first-generation college women as they chose a college and selected a STEM major and subsequently persisted to upper level (junior/senior) status. Twenty-five first-generation college women in STEM majors who attended a research-intensive university in the Midwest were interviewed. Approaching this study using constructivist grounded theory provided the opportunity for deeper insights by examining data at a conceptual level while preserving the voices of the women in this study. The women faced numerous challenges on their journeys, yet they persisted. As the women in this study selected …

A Phenomenographic Study Of The Ability To Address Complex Socio-Technical Systems Via Variation Theory, John A. Mendoza Garcia

Open Access Dissertations

Sometimes engineers fail when addressing the inherent complexity of socio-technical systems because they lack the ability to address the complexity of socio-technical systems. Teaching undergraduate engineering students how to address complex socio-technical systems, has been an educational endeavor at different levels ranging from kindergarten to post-graduate education. The literature presents different pedagogical strategies and content to reach this goal. However, there are no existing empirically-based assessments guided by a learning theory. This may be because at the same time explanations of how the skill is developed are scarce.

My study bridges this gap, and I propose a developmental path for …

Calculus Students' Reasoning About Slope And Derivative As Rates Of Change, Jennifer G. Tyne

Electronic Theses and Dissertations

Students’ low success rates in college calculus courses are a factor that leads to high attrition rates from science, technology, engineering and mathematics (STEM) degree programs. To help reach our nation’s goal of one million additional STEM majors in the next decade, we must address the conceptual difficulties of our students. Studies have shown that students have difficulty with the concepts of slope and derivative, especially in cases when students are asked to utilize these concepts in real-life contexts.

For this study, written surveys were collected from 69 differential (first semester) calculus students. Follow-up clinical interviews were performed on 13 …

Technological Literacy Programs In Elementary School, Natalie Soroka Emery

OTS Master's Level Projects & Papers

Technology and engineering design education is offered as an elective in most secondary school curriculums, however a primary school curriculum is not common. The Standards for Technological Literacy (ITEEA, 2007), which focus on technological literacy and engineering design, are not typically included in primary education.

The objectives of this study are to determine if teachers and administrators think technology and engineering education provide new opportunities for elementary students, how they feel about technology and engineering education, and what obstacles exist for successful implementation. A literature review provided the background on federal, state, and local technology initiatives that exist for Virginia …

Using Teacher Perceptions To Predict Fifth Grade Science And Mathematics Scores In North Carolina, Jason Federico

Doctoral Dissertations and Projects

The purpose of this study was to analyze teachers’ perceptions of their working conditions and to what extent the perceptions impacted 5th grade students’ achievement in the areas of mathematics and science in North Carolina. The 2014 student achievement data in the areas of 5th grade End-of-Grade (EOG) scores in mathematics and science were obtained from one randomly selected school in each of the 115 school districts in North Carolina. The perceptions of teachers’ working conditions were extracted from the 2014 teacher working conditions survey results from each of the same randomly selected 115 schools. This correlation study used a …

Math Emporium Model: Preparing Developmental Students For College Algebra, Stephanie Patton Williams

Dissertations

This study examined the effectiveness of the Emporium Model in reducing math anxiety and in preparing developmental math students at a community college to be successful in College Algebra. The study involved 59 students enrolled in Intermediate Algebra at a community college and compared those in the Emporium class format to those in the Traditional class format. Participants completed a pre-post math anxiety rating scale questionnaire and a pre-post algebra readiness test to address the research questions of the study. Two mixed model ANOVAs were done and the findings showed that there was a significant difference in math anxiety level …

A Statistically Significant Determination From Pretest To Posttest In Knowledge Of Electrophoresis Concepts, Parker Megehee Nelson

Dissertations

The statistical significance from pretest to posttest of 109 high students constructing an electrophoresis chamber or not was explored. The students tested were from six intact biology classrooms. Three classes were treatment groups and three were control groups. The three biology teachers each taught a control and treatment group classroom. Except for building the electrophoresis chamber, students in both groups received identical instruction and testing. Pre- and posttest data was examined by means of a content valid test constructed by the researcher and biology teachers. In order to examine the statistical significance from pretest to posttest in knowledge of electrophoresis …