Physical Sciences and Mathematics Commons^™

Obstacles In Learning Algorithm Run-Time Complexity Analysis, Bailey Licht

Theses/Capstones/Creative Projects

Algorithm run-time complexity analysis is an important topic in data structures and algorithms courses, but it is also a topic that many students struggle with. Commonly cited difficulties include the necessary mathematical background knowledge, the abstract nature of the topic, and the presentation style of the material. Analyzing the subject of algorithm analysis using multiple learning theories shows that course materials often leave out key steps in the learning process and neglect certain learning styles. Students can be more successful at learning algorithm run-time complexity analysis if these missing stages and learning styles are addressed.

Evaluation Of The Utility Of Informative Priors In Bayesian Structural Equation Modeling With Small Samples, Hao Ma

Education Policy and Leadership Theses and Dissertations

The estimation of parameters in structural equation modeling (SEM) has been primarily based on the maximum likelihood estimator (MLE) and relies on large sample asymptotic theory. Consequently, the results of the SEM analyses with small samples may not be as satisfactory as expected. In contrast, informative priors typically do not require a large sample, and they may be helpful for improving the quality of estimates in the SEM models with small samples. However, the role of informative priors in the Bayesian SEM has not been thoroughly studied to date. Given the limited body of evidence, specifying effective informative priors remains …

Geo-Spatial Mapping As A Catalyst For Creative And Engaged Design In Engineering Education, Jessie Zarazaga

Multidisciplinary Studies Theses and Dissertations

Exploiting the technology of geo-spatial mapping student designers can develop deep understandings of the rich and layered data of a spatial context, a situational understanding essential to responsible civic design. However the actions inherent in the construction of spatial data armatures can simultaneously be harnessed as creative strategies, in which mapping processes become the context for generative spatial play. The ambition of this study is to propose efficient pedagogic structures to help prepare civil and environmental student engineers to be not only strong participants, but leaders, in the design of the built environment. The interpretation of site data, mapped as …

Master's Project: Maple: A Sap To Syrup Guide, A Manual For Career And Technical Centers Of Vermont, Lynn Michelle Wolfe

Rubenstein School Masters Project Publications

Maple syrup production is a very important aspect of Vermont life and history. Every year in the early spring, people of all ages find their way to the woods to tap trees, collect sap, and participate in the great tradition of producing maple syrup. Maple syrup production is an essential industry from a historical, cultural, agricultural, and economic perspective. As the industry continues to grow, it creates potential employment opportunities for people of all ages, including recent high school graduates.

Through a collaboration between Vermont high school agriculture/natural resources instructors, the UVM Extension Maple Specialist, Shelburne Farms, and the UVM …

Launch-Explore-Summarize In High School Calculus, Nate Mattis

Honors Theses

Current research on high school calculus instruction indicates that students often possess a procedural knowledge of differentiation and integration as opposed to a conceptual knowledge (Orton, 1983; Ferrini-Mundy & Graham, 1994). Given the prominence of traditional lecture and textbook-based calculus classes in the United States, students are not always given the opportunity to expand their conceptual knowledge of essential calculus concepts. This project introduces calculus students to a more active and communal method of teaching: Launch-Explore-Summarize (LES) (CMP, n.d.). This methodology places students at the center of their learning and emphasizes inquiry-based thinking during a class. Specifically, two LES lessons …

Family-Friendly Science: Increasing Family Engagement In Stem Education, Alison Bixler

Honors Projects

Family engagement is vital to a child’s success in his or her academic career. Current research has focused more specifically on the relationship between parent engagement in science, technology, engineering and math (STEM) education and a student’s success in his or her STEM education. This paper is a summary of present research pertaining to this topic, as well as a summary of the results of a field-based study the author and faculty mentors completed to learn more about methods for engaging families in STEM education, particularly in the area of science. Present research indicates that a successful method for engaging …

Teaching Presence And Intellectual Climate In A Structured Online Learning Environment, Janice Marie Orcutt

CCE Theses and Dissertations

Teaching presence and its implications for the intellectual climate of an online classroom cannot be fully understood unless explored from the perspective of the instructors who experience it. Framed in the theoretical perspective of the Community of Inquiry (CoI) model, this collective case study investigated the actions, intentions and perceptions of instructors with the intent of developing an in-depth understanding of the phenomenon of teaching presence as it was established in a structured online learning environment.

The experiences of selected successful instructors in this specific online context were explored to gain insight on how pedagogical choices influenced the establishment of …

Use Of Student Created Video Podcasts To Promote Foreign Language Grammar Acquisition In Middle School, Sergio Parra

CCE Theses and Dissertations

The use of video podcasts in education has emerged as a phenomenon that has gained a considerable amount of attention over the last few years. Although video podcasting is becoming a well-established technology in higher education, new multimedia instructional strategies such as student-created video podcasts in grades K-12 are under-researched.

The study investigated the effects of video podcasts created by students to promote foreign language grammar acquisition at the middle school level and find how students described such experience. The current investigation was conducted by using the explanatory sequential design, which is a mixed methods research design that occurs in …

Using Mathematical Research Methods To Solve A Problem In Music Theory Instruction, Specifically, The Teaching Of Secondary Dominant Chords, Angela Ulrich

Williams Honors College, Honors Research Projects

The mathematical method for research is used to find a solution to a problem in music theory: understanding and identifying secondary dominant chords. By reviewing and assessing the teaching methods of university professors and theory textbooks, and comparing those findings with student reviews, a new method for teaching the concept is developed. The proposed system incorporates aural, visual, and kinetic exercises to serve every learner. The literature review and sample unit plan are followed by a possible procedure for testing the effectiveness of the new method.

An Extensible Technology Framework For Cyber Security Education, Frank Jordan Sheen

Theses and Dissertations

Cyber security education has evolved over the last decade to include new methods of teaching and technology to prepare students. Instructors in this field of study often deal with a subject matter that has rigid principles, but changing ways of applying those principles. This makes maintaining courses difficult. This case study explored the kind of teaching methods, technology, and means used to explain these concepts. This study shows that generally, cyber security courses require more time to keep up to date. It also evaluates one effort, the NxSecLab, on how it attempted to relieve the administrative issues in teaching these …

Building Cloud-Based Information Systems Lab Architecture: Deriving Design Principles That Facilitate The Effective Construction And Evaluation Of A Cloud-Based Lab Environment, Thomas J. Trevethan

CCE Theses and Dissertations

The problem explored in this dissertation report was that at the time of this study, there were no design principles or methodologies based on design science research (DSR) available to use for artifact construction, implementation, and effective evaluation of cloud-based networking lab environments that can be used to foster hands-on technology skills in students. Primarily based on Hevner’s 7 guidelines of DSR, Peffer’s design science research methodology (DSRM), and Gregor’s IS design theory, this study forms the groundwork for the development of procedures and specifications derived from DSR literature to facilitate the construction, implementation, and evaluation of a comprehensive cloud-based …

Helping Children With Autism Learn With Mathematics Software, Michelle Hansen

CCE Theses and Dissertations

Autism spectrum disorders (ASDs) are conditions where a person may exhibit developmental disabilities, significant social, communication and behavioral challenges, and process information differently than people without ASD. The Federal Government guidelines mandate inclusion of all students into the public school facilities. All school age children in the United States are afforded the same opportunities for public education.

The goal of this investigation was to evaluate the effectiveness of Computer-Aided Instruction (CAI) as a treatment for teaching mathematics to a group of autistic pupils in an elementary school environment. The public later elementary school is located in Kalamazoo, Michigan and had …

Calculator Usage In Secondary Level Classrooms: The Ongoing Debate, Nicole Plummer

Honors College Theses

With technology becoming more prevalent every day, it is imperative that students gain enough experience with different technological tools in order to be successful in the “real-world”. This thesis will discuss the debate and overall support for an increased usage of calculators as tools in the secondary level classroom. When the idea of calculators in the classroom first came to life, many educators were very apprehensive and quite hesitant of this change. Unfortunately, more than 40 years later, there is still hesitation for their usage; and rightfully so. While there are plenty of advantages of calculator use in the classroom, …

Prelude - An Augmented Reality Ios Application For Music Education, Kristen Brown

Honors Projects

Augmented reality (AR) is a technology which serves to enhance the real world environment through the addition of relevant digital content, and has many potential applications within a variety of different fields, including, but not limited to, fields such as marketing, entertainment, medicine, and education. The purpose of this project is to develop an iOS augmented reality application for music educators that will serve as a tool in teaching students to recognize specific music notes and symbols.