Science and Mathematics Education Commons^™

Hilbert–Samuel And Hilbert–Kunz Functions Of Zero-Dimensional Ideals, Lori A. Mcdonnell

Department of Mathematics: Dissertations, Theses, and Student Research

The Hilbert-Samuel function measures the length of powers of a zero-dimensional ideal in a local ring. Samuel showed that over a local ring these lengths agree with a polynomial, called the Hilbert-Samuel polynomial, for sufficiently large powers of the ideal. We examine the coefficients of this polynomial in the case the ideal is generated by a system of parameters, focusing much of our attention on the second Hilbert coefficient. We also consider the Hilbert-Kunz function, which measures the length of Frobenius powers of an ideal in a ring of positive characteristic. In particular, we examine a conjecture of Watanabe and …

Global Well-Posedness For A Nonlinear Wave Equation With P-Laplacian Damping, Zahava Wilstein

Department of Mathematics: Dissertations, Theses, and Student Research

This dissertation deals with the global well-posedness of the nonlinear wave equation
u_tt − Δu − Δ_pu_t = f (u) in Ω × (0,T),
{u(0), u_t(0)} = {u₀,u₁} ∈ H¹₀ (Ω) × L ² (Ω),
u = 0 on Γ × (0, T ),
in a bounded domain Ω ⊂ ℜ ⁿ with Dirichlét boundary conditions. The nonlinearities f (u) acts as a strong source, which is allowed to …

On Morrey Spaces In The Calculus Of Variations, Kyle Fey

Department of Mathematics: Dissertations, Theses, and Student Research

We prove some global Morrey regularity results for almost minimizers of functionals of the form u → ∫_Ω f(x, u, ∇u)dx. This regularity is valid up to the boundary, provided the boundary data are sufficiently regular. The main assumption on f is that for each x and u, the function f(x, u, ·) behaves asymptotically like the function h(|·|)^α(x), where h is an N-function.

Following this, we provide a characterization of the class of Young measures that can be generated by a sequence …

On A Family Of Generalized Wiener Spaces And Applications, Ian Pierce

Department of Mathematics: Dissertations, Theses, and Student Research

We investigate the structure and properties of a variety of generalized Wiener spaces. Our main focus is on Wiener-type measures on spaces of continuous functions; our generalizations include an extension to multiple parameters, and a method of adjusting the distribution and covariance structure of the measure on the underlying function space.

In the second chapter, we consider single-parameter function spaces and extend a fundamental integration formula of Paley, Wiener, and Zygmund for an important class of functionals on this space. In the third chapter, we discuss measures on very general function spaces and introduce the specific example of a generalized …

Science Teaching Efficacy Beliefs Of 5th And 8th Grade Science Teachers, Susan Melony Hanson

Dissertations

The purpose of this study was to determine which, if any, variables had a significant relationship to personal science teaching efficacy beliefs and outcome expectancies. The independent variables tested were number of undergraduate science methods courses taken, level of teacher education, number of years as a classroom teacher, number of years as a science teacher, teacher beliefs regarding instructional strategies in science, and teacher beliefs regarding student engagement in the science classroom. Through surveys completed by 5th and 8th grade science teachers, the researcher analyzed data via multiple regressions to determine significance. Results of the data analysis showed the greatest …

Measurement Of Life Skill Acquisition Of The Idaho First Lego® League State Tournament Participants Ages 9-14, Kristina Lee Luckey

Boise State University Theses and Dissertations

Youth development programs provide opportunities for children to learn and apply the life skills they are likely to utilize later in life. Therefore, it is critical that steps are taken to evaluate their effectiveness. The direct purpose of this study was to measure life skill outcomes of participants ages 9-14 of the Idaho FIRST LEGO® League program state tournament participants. This mixed method pre-experimental design study incorporated quantitative measurements using a paired samples test and qualitative measures utilizing a single-category design focus group methodology for triangulation purposes. This study contributes to the literature by providing empirical evidence of the formation …

Learning Middle School Mathematics Through Student Designed And Constructed Video Games, Camille M. Mccue

UNLV Theses, Dissertations, Professional Papers, and Capstones

Mathematics achievement is an area in which American precollege students are faltering. Emerging research suggests that making mathematics instruction relevant and applicable in the lives of youth may impact math achievement, especially when it capitalizes on high-interest technologies such as video games.

Employing a quasi-experimental and descriptive approach, this study examined the mathematics (i.e., numbers and operations, algebra, geometry, measurement, and probability) that middle school students employed during their design and construction of video games. First, it examined the mathematics content learned by 19 sixth and seventh graders during their analysis, synthesis, and programming of three video game projects over …

Investigating The Effects Of A Combined Problem-Solving Strategy For Students With Learning Difficulties In Mathematics, Dustin B. Mancl

UNLV Theses, Dissertations, Professional Papers, and Capstones

Many students, specifically those with learning difficulties in mathematics, struggle when presented with word problems to solve. With this in mind, the purpose of this research was to examine the effects of the READER Strategyon word problem performance of students with mathematics disabilities and students who are at-risk to fail in mathematics. There were two parts to this research. Part One was implemented using a single-subject design (i.e., multiple-probe across participants) and Part Two was implemented using a group design (i.e., 2 x 4 factorial design). The single-subject design included three participants identified as having mathematics disabilities. There were two …

Bilingualism And Math Cognition, Michelle M. Guillaume

UNLV Theses, Dissertations, Professional Papers, and Capstones

Within cognitive psychology, the fields of bilingualism and math cognition have been investigated relatively separately from one another. Although there has been a substantial amount of research conducted in both areas, few studies have examined mathematical processes as they relate to bilinguals. A couple of the traditional effects found in the math cognition literature, the problem size and associative confusion effects, have been studied with bilinguals; however, bilingual categorization was not carefully controlled for in those studies. There have also been mathematical models applied to bilingual samples; one such model is the encoding-complex model, which has been extended to Chinese-English …

Using Graphs To Represent Physical Phenomena In A Fourth Grade Classroom, Mehmet Fatih Dulger

UNLV Theses, Dissertations, Professional Papers, and Capstones

This study examined to what extent inquiry-based instruction supported with real-time graphing technology improves fourth grader's ability to interpret graphs as representations of physical science concepts such as motion and temperature. This study also examined whether there is any difference between inquiry-based instruction supported with real-time graphing software and inquiry-based instruction supported with traditional laboratory equipment in terms of improving fourth graders' ability to interpret motion and temperature graphs. Results of this study showed that there is a significant advantage in using real-time graphing technology to support fourth graders' ability to read and interpret graphs.

Packings And Realizations Of Degree Sequences With Specified Substructures, Tyler Seacrest

Department of Mathematics: Dissertations, Theses, and Student Research

This dissertation focuses on the intersection of two classical and fundamental areas in graph theory:  graph packing and degree sequences.  The question of packing degree sequences lies naturally in this intersection, asking when degree sequences have edge-disjoint realizations on the same vertex set.  The most significant result in this area is Kundu's k-Factor Theorem, which characterizes when a degree sequence packs with a constant sequence.  We prove a series of results in this spirit, and we particularly search for realizations of degree sequences with edge-disjoint 1-factors.  

Perhaps the most fundamental result in degree sequence theory is the Erdos-Gallai Theorem, characterizing …

Extremal Trees And Reconstruction, Andrew Ray

Department of Mathematics: Dissertations, Theses, and Student Research

Problems in two areas of graph theory will be considered.

First, I will consider extremal problems for trees. In these questions we examine the trees that maximize or minimize various invariants. For instance the number of independent sets, the number of matchings, the number of subtrees, the sum of pairwise distances, the spectral radius, and the number of homomorphisms to a fixed graph. I have two general approaches to these problems. To find the extremal trees in the collection of trees on n vertices with a fixed degree bound I use the certificate method. The certificate is a branch invariant, …

Annihilators Of Local Cohomology Modules, Laura Lynch

Department of Mathematics: Dissertations, Theses, and Student Research

In many important theorems in the homological theory of commutative local rings, an essential ingredient in the proof is to consider the annihilators of local cohomology modules. We examine these annihilators at various cohomological degrees, in particular at the cohomological dimension and at the height or the grade of the defining ideal. We also investigate the dimension of these annihilators at various degrees and we refine our results by specializing to particular types of rings, for example, Cohen Macaulay rings, unique factorization domains, and rings of small dimension.

Adviser: Thomas Marley

Intelligent Design And Its Place In The Classroom, Victor Trinh, Mekdelawit Mezgebu

Festival of Communities: UG Symposium (Posters)

Creationism, is the dominant belief held by the public. Evolution, on the other hand, is the competing theory of the mechanisms of creation. The recent dispute among the scientific and political field that has furthermore complicated the question of intelligent design being integrated into the curriculum of public schools is addressed here. We attempt to give both sides of the argument, along with analyzing the components of each theory. Intelligent design advocates are for the idea of accommodating what they have coined “intelligent design” into the classrooms of American schools. The opponents of intelligent design (evolution supporters); however, claim that …

Should Intelligent Design Be Taught Alongside Evolution In Public Schools?, Chelsea Opdendyk, Christina James

Festival of Communities: UG Symposium (Posters)

Evolution being the creation of life through a scientific method and ID being the creation of life through a religious point of view. The overall proposing question to be discussed throughout this project is whether or not ID should be taught in schools alongside Evolution within science classes. The first phase of this project involves research of the positive teachings of ID within the school system and how it can be beneficial to students. The second part of this project involves the negative aspects of educating students the proposed theory of ID. The final phase revolves around the favored conclusion …

Making Connections Between Science And Equity: A Motivation To Teach Science In Elementary Grades, Grinell Smith, Colette Rabin

Faculty Publications

Teacher quality is among the strongest correlates of student outcomes. However, only about a quarter of the nation’s elementary teachers consider themselves qualified to teach science. In this descriptive and exploratory study, we investigated whether helping pre-service teacher candidates explore connections between science and issues of equity, particularly around sustainability issues, could help them see the importance of teaching science to their students more often. Qualitative and quantitative data were collected from 59 students enrolled in revised science methods courses at a large public university. Our findings suggest that positioning science instruction thusly was perceived as a strong motivator to …

Bridging Professional Development And Context: Integrating Mathematics And Academic Language In A District Facing Takeover, Patricia Swanson, David Whitenack

Faculty Publications

This quasi-experimental, multi-phase study uses mixed methods to evaluate a professional development initiative focused on integrating mathematics and academic language. The context is a highly diverse urban district facing state takeover. The professional development focused on the understanding of key mathematics concepts and developing content-specific academic language. It linked explicitly to district-adopted texts and prescribed lesson formats. Teachers perceived the strategies to be feasible and beneficial to student learning, and had high rates of implementation. Nonetheless, pacing guides pressuring teachers to quickly cover content pose challenges for continued implementation. Implications for (1) professional development focusing on integrating subject-matter content and …

Section Abstracts: Education

Virginia Journal of Science

Abstracts of the Education Section for the 89th Annual Meeting of the Virginia Academy of Science, May 25-27, 2011, University of Richmond, Richmond VA.

Preparing Tomorrow’S Fire Professionals: Integration Of Education, Training, And Experience Through Science-Management Partnerships, Gail Wells

Joint Fire Science Program Digests

In this issue of Fire Science Digest, we explore the career and preparation challenges faced by forest and rangeland fire professionals, both new and seasoned. As the job description grows more complex, a well-rounded background in current and emerging areas of fi re science and fi re management becomes critical. Today’s top professionals are approaching retirement, and tomorrow’s fi re professionals need to be adequately prepared to succeed them.

Counting Cailloux, Multiplying Mambos: An Analysis Of Mathematics Education In Cameroonian Primary Schools, Rachel Elzinga

Independent Study Project (ISP) Collection

This paper summarizes the results of a four-week study of mathematics education in Cameroonian primary schools. In order to fully understand the topic, the research included not only mathematics curriculum, but also methods of instruction, the system for teacher preparation, and an evaluation of community perceptions. Data collection integrated participant observations in two francophone primary schools in Dschang, interviews with primary school teachers, interviews with ministry of education officials, and survey data from teachers and community members in Yaoundé, Ngaoundéré and Dschang. Overall, three conclusions were drawn from the data collected. First, that mathematics is perceived as important by the …