Education Commons^™

The Breathing Of The Bays, Jamie Vaudrey, Margaret (Peg) A. Van_Patten (Editor)

Wrack Lines

Bays in Long Island Sound and beyond have natural rhythms like breathing. Stress can impact the health of these natural ecosystems. While Long Island Sound has been examined for the extent of hypoxia in the summer, small embayments have not been examined carefully. In this article, two researchers investigate the oxygen, or lack of, in small bays of Long Island Sound.

Testing The Salinity Tolerance Levels Of Similar Invasive Species Found In The San Francisco Bay, Julia M. Smith, C. Sarah Cohen, Elizabeth Sheets

STAR Program Research Presentations

Testing the salinity tolerance levels of similar invasive species found in the San Francisco Bay

Julia Smith^1,2, Elizabeth Sheets², and C. Sarah Cohen²

¹Department of Teacher Education, California State University, Sacramento ²Department of Biology and Romberg Tiburon Center, San Francisco State University

Three non-indigenous colonial ascidian species, Botrylloides violaceus, Botrylloides diegensis, and Botryllus schlosseri, have become well established in San Francisco Bay. Two species, B. violaceous and B. schlosseri, are globally distributed, and understanding the salinity ranges and tolerances of these successful invaders in their introduced habitats is important for …

Prime Ideals In Two-Dimensional Noetherian Domains And Fiber Products And Connected Sums, Ela Celikbas

Department of Mathematics: Dissertations, Theses, and Student Research

This thesis concerns three topics in commutative algebra:

1) The projective line over the integers (Chapter 2),

2) Prime ideals in two-dimensional quotients of mixed power series-polynomial rings (Chapter 3),

3) Fiber products and connected sums of local rings (Chapter 4),

In the first chapter we introduce basic terminology used in this thesis for all three topics.

In the second chapter we consider the partially ordered set (poset) of prime ideals of the projective line Proj(Z[h,k]) over the integers Z, and we interpret this poset as Spec(Z[x]) U Spec(Z[1/x]) with an appropriate identification. …

Boundary Value Problems For Discrete Fractional Equations, Khulud Alyousef

Department of Mathematics: Dissertations, Theses, and Student Research

In this dissertation we are interested in proving the existence of solutions for various fractional boundary value problems. Our technique will be to apply certain fixed point theorems. Also comparison theorems for fractional boundary problems and a so-called Liapunov inequality will be given.

An Analysis Of Nonlocal Boundary Value Problems Of Fractional And Integer Order, Christopher Steven Goodrich

Department of Mathematics: Dissertations, Theses, and Student Research

In this work we provide an analysis of both fractional- and integer-order boundary value problems, certain of which contain explicit nonlocal terms. In the discrete fractional case we consider several different types of boundary value problems including the well-known right-focal problem. Attendant to our analysis of discrete fractional boundary value problems, we also provide an analysis of the continuity properties of solutions to discrete fractional initial value problems. Finally, we conclude by providing new techniques for analyzing integer-order nonlocal boundary value problems.

Adviser: Lynn Erbe and Allan Peterson

Commutative Rings Graded By Abelian Groups, Brian P. Johnson

Department of Mathematics: Dissertations, Theses, and Student Research

Rings graded by Z and Z^d play a central role in algebraic geometry and commutative algebra, and the purpose of this thesis is to consider rings graded by any abelian group. A commutative ring is graded by an abelian group if the ring has a direct sum decomposition by additive subgroups of the ring indexed over the group, with the additional condition that multiplication in the ring is compatible with the group operation. In this thesis, we develop a theory of graded rings by defining analogues of familiar properties---such as chain conditions, dimension, and Cohen-Macaulayness. We then study the …

The Challenge: Magazine For The Center For Gifted Studies (No. 29, Summer 2012), Center For Gifted Studies, Tracy Inman Editor

Gifted Studies Publications

No abstract provided.

Academic Excellence In Action: A Case Study Of Effective Instructional Methodologies Of Middle Grades Math Teachers, Nancy Hutchison

Doctoral Dissertations and Projects

The purpose of this case study was to analyze highly effective math teachers in a middle school in Tennessee and describe the methodologies utilized in their middle grades classrooms. This case study was an instrumental single case study within a bounded system. Effective math teachers employ certain methodologies consistently in their classrooms that can be utilized by other teachers to help students achieve academic success. Tennessee's First to the Top Act (2010) requires using teacher effect data to comprise 35% of teachers' retention/dismissal evaluation scores and requires a concentrated focus on seventh grade mathematics instruction. Questionnaires, interviews with math teachers …

Polynomial Calculus: Rethinking The Role Of Calculus In High Schools, William Crombie, Melva R. Grant

Teaching & Learning Faculty Publications

Access to advanced study in mathematics, in general, and to Calculus, in particular, depends in part on the conceptual architecture of these knowledge domains, and in this paper we outline an alternative architecture. Our general strategy is to separate advanced concepts from the particular advanced techniques used in their definition and exposition. This alternative architecture, thus, affords access to advanced concepts from an elementary standpoint to a larger group of learners than is presently accomplished. In the case of the Calculus we develop the beginning concepts of the Differential and Integral Calculus using only concepts and skills found in secondary …

The Effect Of Differentiated Instruction On Standardized Assessment Performance Of Students In The Middle School Mathematics Classroom, Kimberly Gail Williams

Doctoral Dissertations and Projects

Changing demographics, student diversity, and increased accountability have compelled educators to challenge the uniform constraints of traditional instruction and create an environment focused on individual achievement. Differentiated instruction empowers teachers to target multiple learning styles through varied themes, adapted content delivery, and assessment options. This quantitative quasi-experimental research study examined the effects of differentiated instruction on seventh grade student performance on standardized mathematics assessments using a repeated-measures design. Two independent research trials, controlling for initial group differences with 2011 Texas Assessment of Knowledge and Skills (TAKS) scores, provided inconclusive assessment results. Significant differences between students who received differentiated instruction compared …

Comparing The Success And Experiences Of Developmental Algebra I Students, Christy Lowery-Carter

Doctoral Dissertations and Projects

Students enrolled during the spring 2011 and summer 2011 semesters taking developmental Algebra I were invited to participate in a study. Students were required to complete a researcher-made pretest prior to instruction, complete the course over the semester, and complete an identical posttest at the end of the course. The online students voluntarily completed a researcher-made survey. An ANCOVA analysis, using the pretest scores as a covariate, showed a significant difference between the online and seated students, as the online students scored significantly higher. The survey showed online students tended to utilize the captured lectures, with a larger percentage of …

The Weak Discrepancy And Linear Extension Diameter Of Grids And Other Posets, Katherine Victoria Johnson

Department of Mathematics: Dissertations, Theses, and Student Research

A linear extension of a partially ordered set is simply a total ordering of the poset that is consistent with the original ordering. The linear extension diameter is a measure of how different two linear extensions could be, that is, the number of pairs of elements that are ordered differently by the two extensions. In this dissertation, we calculate the linear extension diameter of grids. This also gives us a nice characterization of the linear extensions that are the farthest from each other, and allows us to conclude that grids are diametrally reversing.

A linear extension of a poset might …

Modeling And Mathematical Analysis Of Plant Models In Ecology, Eric A. Eager

Department of Mathematics: Dissertations, Theses, and Student Research

Population dynamics tries to explain in a simple mechanistic way the variations of the size and structure of biological populations. In this dissertation we use mathematical modeling and analysis to study the various aspects of the dynamics of plant populations and their seed banks.

In Chapter 2 we investigate the impact of structural model uncertainty by considering different nonlinear recruitment functions in an integral projection model for Cirsium canescens. We show that, while having identical equilibrium populations, these two models can elicit drastically different transient dynamics. We then derive a formula for the sensitivity of the equilibrium population to …

A Novel Approach In Teaching Stem Subjects Through Cross-Departmental Collaboration In Capstone Courses, Iem Heng, Andy S. Zhang, Farrukh Zia

Publications and Research

In today’s higher education, use of state of the art technology in the classroom and laboratory plays a vital role in hands-on cross-disciplinary activities and demonstration for students to learn the interconnection of STEM (Science, Technology, Engineering and Mathematics) concepts. To implement these activities, the capstone courses present an ideal opportunity for cross-departmental collaboration. The hands-on robotic design project is introduced in the capstone courses to teach interconnected STEM concepts. This type of project, which has proven very effective in engaging students, is used in many areas of technical courses as hands-on activities and demonstration and, in addition, lab work. …

Utilizing Project-Based Multidisciplinary Design Activities To Enhance Stem Education, Andy S. Zhang, Farrukh Zia, Iem Heng, Sidi Berri

Publications and Research

This paper discusses the use of project-based interdisciplinary design activities to enhance the STEM education in City Tech’s School of Technology and Design. STEM education has been a key in producing qualified individuals to work in today’s fast paced, highly competitive companies. Unfortunately, the supply of qualified workforce has been reduced due to the steady drop of enrollment of college and high school students in STEM related fields for the past twenty years. To tackle the dwindling enrollment of STEM students and low quality of STEM graduates, in a report submitted to Congress in 2007, the National Science Board suggested …

Examining The Mediation Of Power In A Collaborative Community: Engaging In Informal Science As Authentic Practice, Anton Puvirajah, Geeta Verma, Horace Webb

Education Publications

Focusing on the interplay of context and language, this study examined a group of high school students and their mentors’ use of language during a robotics competition. This informal setting allowed us to gain insights into the mediation and manifestation of power within the group. Using critical discourse analysis of competition transcripts and interviews we found that both students and mentors felt a sense of ownership and community leading to symmetry in power amongst them. The shift in power led to greater student ownership and agency and created a space for authentic and meaningful science learning. The context of the …

Enhancing Content Knowledge Of In-Service Science Teachers Through Model And Modeling, Naheed Perveen, Sadia Muzzafar Bhutta

Institute for Educational Development, Karachi

The guiding question for this paper is; how does model and modeling enable student-teachers to develop a conceptual understanding of the cell as a structural and functional unit of living things? A teaching unit ‘The Cell’ was designed in view that models are a major teaching and learning tool for developing scientific thinking, whereas modeling means a process of forming representation. The teaching and learning strategies reported here encapsulated four modeling phases. Firstly, student-teachers modeled historical development of cell through a time line and role play and discussed the evolutionary and tentative nature of science. Secondly, the candy factory analogy …

Hexapod Herald - Vol. 24, No. 3, June 2012

Hexapod Herald and Other Entomology Department Newsletters

Contents: Welcome -- Meeting News -- Congratulations -- Publications -- Faculty News -- Grants -- Meet an Off-Campus Student -- Student News -- Travel -- Calendar of Events -- Entomology is 125

A Study Of The Relationship Between Caregiver Education Level, Time Spent On School Actvities, And Mathematics Achievement, Ebony Allen

Doctoral Dissertations and Projects

This study examined the relationship between caregiver education level and time spent with a caregiver on school activities with regard to how Georgia Middle School students (N = 465) achieved on the mathematics section of the yearly Criterion Referenced Competency Test (CRCT) in Georgia. Caregiver education level and time spent with the caregiver on school activities was also examined to determine if a cumulative effect between the two factors could be found in relation to mathematics achievement on the CRCT. A causal comparative design was used and the data was analyzed using the 2009 version 16 of SPSS. A generalized …

Bar Graphs & Baselines: Student Perceptions Of Distortions In Real World Graphs, Robert K. Janes Iii

Honors Scholar Theses

It is important for every educated member of our society to be able to read, comprehend, and interpret graphs. To that end, the National Council of Teachers of Mathematics (NCTM) and the Common Core State Standards have endorsed a kindergarten through eighth-grade mathematics curriculum that is rich in data analysis and graphical literacy skills. These skills are important, as graphs in the public sphere may include certain features that can cause misperceptions of the data. Such features may be intentional or unintentional and can include non-zero baselines, representing data with extra dimensions, stretching and shrinking graphics, not displaying outliers, and …

Getting To The "Why": Teacher Practices That Support Mathematically Sound Student Justifications, Briana Hennessy

Honors Scholar Theses

Though the mathematical and education communities both value justification and argumentation in the middle grades classroom, teachers have historically found these practices difficult to support. This article discusses teaching practices that are associated with high levels of mathematically acceptable argumentation by students. Data were collected on seven committed teachers who explored justification and then implemented the same justification task over two years. Thus, the data reflected fourteen different implementations of the same task, allowing us to compare lessons directly. The findings describe how teachers’ Focusing Students’ Mathematics and Providing Scaffolding Questions are consistently associated with high levels of justification, while …

Kindergarten Mathematics: An Observational Study Of Learning Centers In Diverse School Settings, Juliana Macswan

Honors Scholar Theses

This qualitative research study investigated how centers were used in kindergarten math classes and students’ mathematical engagement and authority within centers in five classes field-testing the Project M²: Mentoring Young Mathematicians measurement and geometry units. Data were collected from three observations in each of the five classes as well as observations from trained professional development staff working on the field-test and teacher exit interviews. Results indicated that in four of the five classes two-thirds of the centers related to the unit objectives and students spent over 90% of time in unit related centers. There were a variety of …

College Of Engineering Senior Design Competition Spring 2018, University Of Nevada, Las Vegas

Fred and Harriet Cox Senior Design Competition Projects

Part of every UNLV engineering student’s academic experience, the senior design project stimulates engineering innovation and entrepreneurship. Each student in their senior year chooses, plans, designs, and prototypes a product in this required element of the curriculum. A capstone to the student’s educational career, the senior design project encourages the student to use everything learned in the engineering program to create a practical, real world solution to an engineering challenge. The senior design competition helps focus the senior students in increasing the quality and potential for commercial application for their design projects. Judges from local industry evaluate the projects on …

Learning To Do Well Through Making Errors, Kurtis Malecha

Practicum

Looking back to the beginning of the semester, I do not fully understand what exactly I would be doing for an hour every Thursday afternoon. The guidelines Dr. Miller-Pomije provided me were simply that – guidelines. What I did during these recitation sessions for General Chemistry I students was up to me. Through these sessions, I learned more effective teaching strategies, ways to foster students’ learning, and approaches that simply did not work. As a result, I now feel better prepared for graduate school teaching experiences.

Learning To Teach Mathematics With Reasoning And Sense Making, Amy L. Nebesniak

College of Education and Human Sciences: Dissertations, Theses, and Student Research

This study uses teacher research to examine teacher learning in the context of instructional coaching. The author, a mathematics instructional coach, engaged in an intense three-week coaching relationship with a high school Algebra teacher. A detailed description of the teaching and learning of quadratics that took place during this research provide information about what and how a teacher learns to teach mathematics with reasoning and sense making. Mapping the terrain of quadratics deepened the teacher’s understanding of the mathematical content and encouraged him to adapt his textbook in order to build mathematical reasoning. Through the coaching process, the teacher also …

Semipermeable Membranes, Diffusion, And Osmosis Inquiry: Effective Modeling In A High School Classroom, Amar Patel

Mahurin Honors College Capstone Experience/Thesis Projects

A novel approach is taken in teaching the core chemical and biological concepts of mass transport properties, specifically diffusion and osmosis, in an investigation-rich unit of instruction spanning fifteen days. The unit is based on the highly successful 5-E, inquiry based approach known as project-based instruction which emphasizes the use of laboratories and interactive discussions. The entire unit will center on a grand challenge which the students will provide a media-based solution for by encompassing the concepts taught in the unit. When introducing these topics in the high school classroom, the instructor must be able to help students understand the …

Teachers And Hand-Held Graphing Technology: An Examination Of Concerns, Edward Helton

Doctoral Dissertations and Projects

The purpose of this nonexperimental causal-comparative study was to examine the concerns of teachers in reference to the graphing calculator, as measured by the Stages of Concern Questionnaire (SoCQ) and compare the results to a combination of levels of concerns between groups. The study participants were high school teachers of mathematics in Northwest Georgia and Southeast Tennessee (n = 128). This study utilized a two-way multivariate analysis of variance (MANOVA) to determine the effect of two independent variables, formal training and experience teaching with a graphing calculator, on seven dependent variables, teachers' Stages of Concern (stages 0-6). Also, a one-way …

Roger Williams Park Edible Forest Garden, Mark S. Scialla

Senior Honors Projects

An edible forest garden is a low-maintenance system that uses edible native and regionally-adapted plants arranged in beneficial relationships to meet human, wildlife and ecosystem needs. The forest garden in Roger Williams Park will transform underutilized urban land into a highly productive parcel producing market-viable fruits, nuts, vegetables, medicine and fiber. Forest gardens mimic natural forest systems in architecture and complexity. The design follows ecological principles to create a system that promotes biodiversity and enhances the surrounding ecosystem. This project also demonstrates the potential to grow food and create land-based livelihoods in the city.

Located on the edge of a …

Mathematics Anxiety In Ninth-Grade Pre-Algebra, Jacquelyn D. Tretter

Masters Theses & Specialist Projects

In this qualitative action research study, five lower-achieving freshman prealgebra students in a rural high school were interviewed about mathematics anxiety. The subjects ranged in age from 13 to 15 years and included three boys and two girls, of which one was Hispanic, one was African-American, and three were Caucasian. These students had tested below the fourth-grade level in mathematics during their eighth-grade year and were placed in special pre-algebra classes, which met for 30 additional minutes each day and progressed with more depth, but at a slower pace.

The researcher employed personal interviews to answer the research question: How …

Effective Science Teaching In A High Poverty Middle School, Georgette Meyer

Doctoral Dissertations and Projects

This qualitative case study described the characteristics of science teachers in a high poverty urban middle school whose 2010 scores on South Carolina's Palmetto Assessment of State Standards (PASS) ranked second in the state. Data was obtained through classroom observations, open-ended interviews, school documents, and photographs taken inside the school from ten participants, who were seven science teachers, a science coach, and two administrators. Findings revealed a school culture that pursued warm and caring relationships with students while communicating high expectations for achievement, strong central leadership who communicated their vision and continuously checked for its implementation through informal conversations, frequent …