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No abstract provided.

Work Integrated Learning In Stem In Australian Universities: Final Report: Submitted To The Office Of The Chief Scientist, Daniel Edwards, Kate Perkins, Jacob Pearce, Jennifer Hong

Higher education research

The Australian Council for Educational Research (ACER) undertook this study for the Office of the Chief Scientist (OCS). It explores the practice and application of Work Integrated Learning (WIL) in STEM, with a particular focus on natural and physical sciences, information technology, and agriculture departments in Australian universities. The project involved a detailed ‘stocktake’ of WIL in practice in these disciplines, with collection of information by interview, survey instruments, consultation with stakeholders and literature reviews. Every university in Australia was visited as part of this project, with interviews and consultation sessions gathering insight from more than 120 academics and support …

Some Problems In Differential And Subdifferential Calculus Of Matrices., Priyanka Grover Dr.

Doctoral Theses

A central problem in many subjects like matrix analysis, perturbation theory, numerical analysis and physics is to study the effect of small changes in a matrix A on a function f(A). Among much studied functions on the space of matrices are trace, determinant, permanent, eigenvalues, norms. These are real or complex valued functions. In addition, there are some interesting functions that are matrix valued. For example, the (matrix) absolute value, tensor power, antisymmetric tensor power, symmetric tensor power.When a function is differentiable, one of the ways to study the above problem is by using the derivative of f at A, …

Some Studies On Selected Stream Ciphers Analysis Fault Attack & Related Results., Subhadeep Banik Dr.

Doctoral Theses

Stream Ciphers are important Symmetric Cryptological primitives, built for the purpose of providing secure message encryption. As no formal security proofs exist, our confidence in these algorithms is largely based on the fact that intense cryptanalysis has been carried out over several years without revealing any weakness. This thesis makes some independent contributions to the cryptanalysis of a selection of stream ciphers.In this thesis, we take a closer look at two stream ciphers viz. RC4+ designed by Maitra et al. at Indocrypt 2008 and GGHN designed by Gong et al. at CISC 2005. Both these ciphers were designed as viable …

Klein Makes Math Fun, Named Presidential Teacher, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.

1-Relaxed Edge-Sum Labeling Game, Hang Do, Timothy Singer, Brent Moran

Linfield University Student Symposium: A Celebration of Scholarship and Creative Achievement

We introduce a new graph labeling and derive a game on graphs called the 1-relaxed modular edge-sum labeling game. Given a graph G and a natural number n, we define a labeling by assigning to each edge a number from {1,..., n} and assign a corresponding label for each vertex u by the sum of the labels of the edges incident to u, computing this sum modulo n. Similar to the chromatic number, we define L(G) for a graph G as the smallest n such that G has a proper labeling. We provide bounds for L(G) for various …

Asymptotic Behavior Of Traveling Wave Solutions To Reaction-Diffusion Equations, Malley M. Nason

Linfield University Student Symposium: A Celebration of Scholarship and Creative Achievement

We will discuss travelling wave solutions to reaction-diffusion equations of the form:

u_t=u_xx+ u^p (1-u^q)

which can be used as a mathematical model for various biological phenomena, as well as to model problems in combustion theory. We identify conditions on the wave speed so that travelling wave solutions exist for the case p ≥1 and q ≥1. Moreover, we estimate the rate of decay of the travelling wave solutions. When p > 1 and q ≥1, this estimate requires center manifold theory because the typical linear methods fail to work. Through the mathematical analysis …

Searching For A Lost Plane, Yichen You, Yu Yan

Linfield University Student Symposium: A Celebration of Scholarship and Creative Achievement

Malaysia plane MH370 disappeared en route from Kuala Lumpur to Beijing on 8, March 2014. Besides considering the factors such as air piracy, weather, electromagnetic wave, and kinds of bugs of the airplane, in order to find the wreckage efficiently the growing concern is to confirm a limited area where the airplane probably fell, and then to find an optimum way to find the plane. It’s essential to build such a model involving both of the two layers mentioned above that can cover all the searching area by using the most efficient way.

The first layer is to confirm the …

The Skatepark Mathematics Extravaganza, William Robertson

Selected Works Temporary Series

In the fall of 2014, a series of live demonstrations and field-based activities were lead by a team of educators and top action sports athletes who performed at local high schools. These events, entitled the “Skatepark Mathematics Extravaganza”, were done in order to engage high school students in focused explorations of mathematics set in a real world setting that is relevant to youth culture, namely skateboarding and bicycle motocross (BMX). These activities incorporated mathematics for the students to do after the demonstration in meetings with classes in which the Action Science Stunt Team performed maneuvers on ramps at the high …

The Skatepark Mathematics Extravaganza, William Robertson

Departmental Papers (TE)

In the fall of 2014, a series of live demonstrations and field-based activities were lead by a team of educators and top action sports athletes who performed at local high schools. These events, entitled the “Skatepark Mathematics Extravaganza”, were done in order to engage high school students in focused explorations of mathematics set in a real world setting that is relevant to youth culture, namely skateboarding and bicycle motocross (BMX).  These activities incorporated mathematics for the students to do after the demonstration in meetings with classes in which the Action Science Stunt Team performed maneuvers on ramps at the high …

Preparing English Learners For Academic Language Demands Of Mainstream Mathematics, Tracie Lynn Cavalli

School of Education and Leadership Student Capstone Theses and Dissertations

Secondary English language teachers and content mathematics teachers are called upon to develop the language and mathematics skills of students. English learners need learning methods in place that will aid in learning both sets of skills. This research outlines methods to incorporate language usage into mathematics instruction through incorporating direct vocabulary instruction, problem solving procedures and oral presentations. The research was conducted in a sheltered mathematics classroom over the course of two weeks. Data was collected from pre-­‐ test and post-­‐test scores, students presented problems after following a set of problem solving procedures, and a completing a written assessment where …

Concerns Of Elementary School Leaders And Teachers When Implementing A Common Core Aligned Mathematics Program, Leela J. George

Dissertations - ALL

The purpose of this study is twofold: first, the research is an investigation of the concerns of school leaders and teachers when implementing a Common Core Learning Standards-aligned elementary mathematics curriculum in an age of accountability and reform; second, this research aims to identify the interventions that school leaders employ in response to the concerns of teachers.

This is a mixed methods study using the Concerns-Based Adoption Model (CBAM). Specifically, the Stages of Concern Questionnaire (SoCQ) and the Change Facilitator Stages of Concern Questionnaire (CFSoCQ) were administered three times during the initial year of implementation of a new mathematics program …

How Can Inquiry-Based Instruction Be Implemented In A Secondary Mathematics Classroom?, Jennifer Colley Smith

School of Education and Leadership Student Capstone Theses and Dissertations

The research question addressed in this project was, how can inquiry-based instruction be implemented in a secondary mathematics classroom? The motivating factors for this capstone were the inability for students to retain information and the challenges that students often face due to lack of investment in secondary mathematics classrooms. This capstone documents the creation of tools that support teachers in implementing and using inquiry-based methods in a secondary mathematics classroom, rooted in mitigating the challenges that may arise as an inquiry-based structure is introduced. The author supports the creation and implementation of each tool through research literature, documenting purpose and …

Interventions To Improve Student Achievement In Mathematics For Middle School Students With Autism, Sherria L. Burney

Specialist in Education Degree (Ed.S.) Theses

The purpose of this study was to evaluate the effects of using Concrete-Representational-Abstract (CRA) teaching sequence and explicit instruction to improve student achievement in mathematics in middle school aged students with autism and moderate intellectual disabilities. The effects of the CRA teaching sequence and explicit instruction were examined using a Multiple Baseline Design. Although the results in the curriculum-based measurements were inconsistent, all participants showed an increase in the pre-test and post-test scores.

Unit Interval Orders Of Open And Closed Intervals, Alan Shuchat, Randy Shull, Ann N. Trenk

Faculty Research and Scholarship

A poset P=(V,≺) is a unit OC interval order if there exists a representation that assigns an open or closed real interval I(x) of unit length to each x ∈ P so that x ≺ y in P precisely when each point of I(x) is less than each point in I(y). In this paper we give a forbidden poset characterization of the class of unit OC interval orders and an efficient algorithm for recognizing the class. The algorithm takes a poset P as input and either produces a representation or returns a forbidden poset induced in P.

Culturally Responsive Curriculum: Third Grade Dual Language Immersion Fraction Unit, Katherine Elizabeth Jacques

School of Education and Leadership Student Capstone Theses and Dissertations

While there is a growing body of research about best practice teaching in the dual language immersion setting as well as how to structure culturally responsive instruction, there is far less research that connects the dual language immersion model with culturally responsive mathematics instruction. This capstone primarily seeks to demonstrate how cooperative learning strategies, culturally responsive instructional techniques and the response to intervention and curriculum-based measurement model can be used to develop a math fractions unit for third-grade bilingual students in the dual language immersion setting. This study describes the components of dual language immersion, establishes the existence of racial …

Examining Implementations Of Blended Learning In A K-12 Mathematics Classroom, Kelsey Waynick

Honors Projects

In this research project, I investigated the effects on eighth grade students’ performances and perceptions throughout a blended learning experience by implementing a combination of face-to-face and online instructional strategies in an Algebra classroom. This blended experience was segmented into two units – a face-to-face unit and a blended unit – to allow for comparison within the participant group of high-achieving mathematics students. Edmodo, an online educational platform, was utilized to provide students with access to online resources at home during the blended unit. Students completed a series of three identical tests to quantitatively measure learning growth at designated checkpoints …

Book Review: How To Bake Pi: An Edible Exploration Of The Mathematics Of Mathematics, Darren B. Glass

Math Faculty Publications

If you think about it, mathematics is really just one big analogy. For one example, the very concept of the number three is an drawing an analogy between a pile with three rocks, a collection of three books, and a plate with three carrots on it. For another, the idea of a group is drawing an analogy between adding real numbers, multiplying matrices, and many other mathematical structures. So much of what we do as mathematicians involves abstracting concrete things, and what is abstraction other than a big analogy? [excerpt]

The Effects Of Problem-Based Learning On Mathematics Achievement Of Elementary Students Across Time, Brittany Marie Crowley

Masters Theses & Specialist Projects

The present study specifically evaluated the long-term effects of problem-based learning (PBL) instruction on the mathematics achievement of students who demonstrated higher ability in the subject area than their comparable peers. Subjects included 65 students from six south-central Kentucky elementary schools who participated in Project Gifted Education in Math and Science (Project GEMS), a grant partially funded through the Jacob K. Javits Gifted and Talented Students Education Program. The students were assigned to one of three conditions – PBL-Plus, PBL, or Control – based upon school of attendance. The participants were then administered baseline testing in the fall of the …

The Implications Of Self-Driving Cars On Insurance, Amanda Lobello

Honors Projects in Mathematics

Self-driving cars, also known as autonomous vehicles, are being researched and tested by automakers, technology industry leaders, and other institutions. Lawmakers and politicians are discussing the legislation that will affect the fate of such technology. Primary benefits include safety, mobility, free time, less traffic, and green effects. However, there are also obstacles to the implementation of self-driving vehicles including consumer acceptance, legal liability, and cost. With the potential shift in responsibility from driver to automaker, rating factors for insurance may change, weighing more heavily on the model of the car as a factor. The fate of auto insurance is in …

Identifying Factors Common Among Students Who Do Not Fit The Typical Mathematics Self-Efficacy And Achievement Correlation, Jodi H. Mantilla

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

A student’s self-efficacy, or their belief in their ability to perform a specific behavior, has been shown to have a positive correlation with their academic achievement. In other words, if their self-efficacy is high, their academic achievement is high. If self-efficacy is low, likewise their achievement is low. Research has shown that this correlation is especially true when looking at the self-efficacy and academic achievement in a specific subject, such as mathematics. However, in a typical classroom, teachers experience students who have very high self-efficacy in their mathematics abilities yet perform mathematics tasks at a low level. They may also …

An Exploratory Study Of Attributes, Affordances, Abilities, And Distance In Children's Use Of Mathematics Virtual Manipulative Ipad Apps, Stephen I. Tucker

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

This exploratory qualitative study investigated the presence of and relationships among constructs that contribute to children's interactions with educational technology, leading to the development of the modification of attributes, affordances, abilities, and distance (MAAAD) for Learning framework. For this study, each of 10 fifth-grade children participated in one individual video-recorded semistructured interview session, during which they interacted with two mathematics virtual manipulative iPad apps and responded to follow-up questions. Video recordings and observation field notes were analyzed for evidence of attributes, affordance-ability relationships, distance, and relationships among these constructs.

Constant comparative data analysis using memoing and eclectic coding provided evidence …

Counting On R-Fibonacci Numbers, Arthur Benjamin, Curtis Heberle

All HMC Faculty Publications and Research

We prove the r-Fibonacci identities of Howard and Cooper using a combinatorial tiling approach.

Student Perspective And Frequency Of Mathematical Textbook Use, Lance Kruse

Honors Projects

The purpose of this action research study was to explore students’ perspective and use of their mathematical textbook as a resource to learn mathematics. Participants were 18 students who attended an eighth grade mathematics class for 45 minutes each day in a suburban school setting. An initial survey was provided to participants to gauge perspective about current use of textbook as a resource and was then followed up with a focus group interview of six participants. Specifically designed instruction was aimed at creating a reader-centered learning environment by instructing participants about key components of the textbook and encouraging proper reading …

Uno Stem Annual Report 2015, Uno Stem Leadership Team

Student Learning

The following document is a brief Annual Report for the STEM Priority at UNO as of May 1, 2015. The document builds upon past strategic planning discussions, meetings,and conversations and aligns with the UNO STEM Strategic Plan, as first published in the Fall of 2013. It is important to note that the annual report is essentially a“work in progress” and will be continually refined during the next year and updated as initiatives progress. It is also a “springboard” for a continued and strategic review of our local STEM statistics and the professional literature on STEM learning, and it serves as …

Common Core Math And Critical Reasoning, Lorna M. Hayman

Dissertations, Masters Theses, Capstones, and Culminating Projects

This teacher research action study compared the performance of students in mathematical critical reasoning for selected strands of math under the new Common Core Math Standards with their performance under the old California State Standards. Student scores from in-class tests and quizzes were comparatively analyzed over the duration of a year in one sixth grade classroom in Northern California. Findings from this study indicated a minimal increase in the critical reasoning skills of the students under the Common Core Standards when compared to the California State Standards. The results of the study imply that there is a need for longitudinal …

The Power Of Improvisational Teaching, Elizabeth Graue, Kristin Whyte, Anne E. Karabon

Teacher Education Faculty Publications

In this study we examine how improvisation can facilitate understanding how teachers respond to children's multiple resources, interests, experiences, and skills in early childhood programs. Improvisation is conceptualized as a responsive, partnered activity through which teachers and children generate meaning and knowledge together. In our analysis we show improvisation is taken up differently in two classrooms and how it variably provides opportunities for learning. Two cases from a professional development program designed to support culturally and developmentally appropriate early mathematics are used to demonstrate the possibilities improvisation creates in era of increasing standardization of curriculum.

The Relationship Between Students’ Applied Mathematics Skills And Students’ Attitudes Towards Mathematics, Taylor Andrew Kilman

Dissertations

Mathematics is a subject with which many students struggle. It has been noted that students’ attitudes towards mathematics can often affect their performance in related courses. The goal of this research is to explore the relationship between students’ basic applied mathematics skill and students’ attitudes towards mathematics. That is, do students, as they learn how to use mathematics in the real world, tend to develop a more favorable outlook towards mathematics? Or, on the other hand, do the attitudes towards mathematics of students remain unaffected as their ability to use mathematics in the real world increases? The current research seeks …

Teaching Algebra: A Comparison Of Scottish And American Perspectives, Brittany Munro

Undergraduate Honors Theses

A variety of factors influence what teaching strategies an educator uses. I analyze survey responses from algebra teachers in Scotland and Appalachia America to discover how a teacher's perception of these factors, particularly their view of mathematics itself, determines the pedagogical strategies employed in the classroom.

Teacher Perceptions Of Leadership And Student Growth In Reading And Mathematics In Northeast Tennessee, Kyle Anderson Loudermilk

Electronic Theses and Dissertations

The purpose of this quantitative correlational study was to determine whether there is a significant relationship between teacher perceptions of administrator leadership focus and student growth in reading and mathematics for elementary and middle schools in nine school systems located in northeast Tennessee during the 2012-2013 academic year. Specifically, this study was an analysis of the leadership focuses of trust and respect, collaboration, shared leadership, data use and analysis. All data were collected through public online databases. Teacher perceptions of administrator leadership focus were gathered from the Tennessee Teaching, Empowering, Leading, and Learning (TELL) Survey and data on student growth …