Science and Mathematics Education Commons^™

Niche Specialization And Conservation Biology Of Cicindela Nevadica Lincolniana, Tierney R. Brosius

Department of Entomology: Dissertations, Theses, and Student Research

As with many organisms across the globe, Cicindela nevadica lincolniana is threatened with extinction. Understanding ecological factors that contribute to extinction vulnerability and what methods aid in the recovery of those species is essential in developing successful conservation programs. Here we examine behavioral mechanisms for niche partitioning along with improving techniques for captive rearing protocol and increasing public awareness about the conservation of this local insect. Ovipositional selectivity was examined for Cicindela nevadica lincolniana, Cicindela circumpicta, Cicindela togata, Cicindela punctulata, and Cicindela fulgida. Models reflect that these species of co-occurring tiger beetles select different ranges of salinity in which to …

Properties Of The Generalized Laplace Transform And Transport Partial Dynamic Equation On Time Scales, Chris R. Ahrendt

Department of Mathematics: Dissertations, Theses, and Student Research

In this dissertation, we first focus on the generalized Laplace transform on time scales. We prove several properties of the generalized exponential function which will allow us to explore some of the fundamental properties of the Laplace transform. We then give a description of the region in the complex plane for which the improper integral in the definition of the Laplace transform converges, and how this region is affected by the time scale in question. Conditions under which the Laplace transform of a power series can be computed term-by-term are given. We develop a formula for the Laplace transform for …

Using Prediction And Classroom Voting Via Clickers To Address Secondary School Students' Overreliance On The Representativeness Heuristic, Tami Kay Dashley

Open Access Theses & Dissertations

Students often have misconceptions in their probabilistic reasoning--one such misconception is the overuse of the representativeness heuristic, in which one determines that one event is more likely than another event based on how representative the event is of some aspect of its parent population. A research study was conducted to address high school students' overuse of the representativeness heuristic using three groups: (i) a prediction-and-voting group in which students were taught a lesson on probability with the use of prediction and classroom voting teaching methods, (ii) a prediction-only group where students were taught the lesson using only prediction, and (iii) …

Use Of Cognitive Constructs In Linear Algebra, Azucena Zamora

Open Access Theses & Dissertations

Thesis analyzed the presence of two cognitive entities-- modes of thinking and metonymies and metaphors- in the reasoning of three students enrolled in a first year matrix algebra course at a southwest university via the responses given to a set of eight questions asked during one-on-one interviews. The findings of our analysis shed light on the cognitive constructs that students employ to form their understanding of linear algebra concepts. Furthermore, our findings provide clues about the ways in which students move from one mode of thinking to another in the context of varying levels of exposure to graphical, algebraic, and …

Geometry Examples Encountered In Various Everyday Experiences, R. W. Farley

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

Reflections On What You Have Learned: A Rapporteur's Report On Virginia's "What We Have Learned Symposium", D. B. Erchick

Journal of Mathematics and Science: Collaborative Explorations

In this Rapporteur's Report on Virginia's "What We Have Learned Symposium" about a statewide Mathematics Specialist program, I discuss emergent topics resulting from presentations and discussion at the Symposium. Topics include defining Mathematics Specialists and coaches, addressing mathematics content in the program, providing ongoing support for Specialists and coaches, and supporting principals. I also provide suggestions, discuss absences in the program, and comment on cautions in revision and needs in dissemination.

Representational Competence Of Form Four Science Students On Basic Chemical Concepts., Sim Joong Hiong

Student Works (2010-2019)

The general purpose of this study was to investigate Form four science students’ representational competence on basic chemical concepts. The main aims of the study were: (i) to investigate students’ understanding of basic chemical concepts, (ii) to evaluate their understanding of chemical representations, (iii) to assess their representational competence in chemistry, and (iv) to examine the influence of selected cognitive variables on their representational competence. A total of 411 Form four science students from seven urban secondary schools in Perak participated in this study. Data was obtained from seven instruments consisting of five paper-and-pencil tests, one questionnaire and interviews. The …

The Effect Of Learning Styles Strategies On Benchmark Eighth Grade Middle School Mathematics Achievement, Jean Ferrara

Walden Dissertations and Doctoral Studies

Low standardized mathematics scores resulted in a suburban middle school not reaching adequate yearly progress (AYP) for the 2 previous years. There were many possible factors contributing to this problem, among them the design of instruction. The purpose of this study was to identify learning styles of students and implement differentiated instructional strategies that address the learners' needs. The study was based on the Silver and Hanson's theory of learning style instruction and Gardner's multiple intelligences as a model for differentiating instruction. This sequential mixed methods quasi-experimental causal comparative design study investigated the effect of classroom intervention based on learning …

A Case Study On The Integration Of Internet Technology With Mathematics And Science Content For Teachers, Pilar Gonzalez

Open Access Theses & Dissertations

This study analyzed electronic discourse in an online mathematics/science education graduate course. The intention was: a) to identify the teacher's attitudes towards using internet resources, b) to motivate teachers to integrate the use of technology and c) to study how in-service and pre-service teachers find, access, and use technology resources.

The main activities in the class were for teachers to read chapters from textbooks, post personal reflections on the chapter, search and critically assess the companion websites and read classmates' reflections. Teachers also completed Thematic Units consisting of several technology-enhanced mathematical and science integrated lesson plans.

The teachers' success was …

Intonation And Compensation Of Fretted String Instruments, Gabriele U. Varieschi, Christina M. Gower

Physics Faculty Works

We discuss theoretical and physical models that are useful for analyzing the intonation of musical instruments such as guitars and mandolins and can be used to improve the tuning on these instruments. The placement of frets on the fingerboard is designed according to mathematical rules and the assumption of an ideal string. The analysis becomes more complicated when we include the effects of deformation of the string and inharmonicity due to other string characteristics. As a consequence, perfect intonation of all the notes on the instrument cannot be achieved, but complex compensation procedures can be introduced to minimize the problem. …

Providing Real-World Experiences: The Virginia Tech Externship For Mathematics Specialists, B. Kreye, J. L. M. Wilkins

Journal of Mathematics and Science: Collaborative Explorations

We describe the structure and implementation of the yearlong Externship experience associated with the Mathematics Specialist program at Virginia Polytechnic Institute & State University (Virginia Tech). We discuss the assignments and experiences included in the Externship, the alignment of those experiences with the job description developed by the Virginia Mathematics and Science Coalition Task Force, and teacher comments on the effectiveness of their Externship experiences [1].

What Counts In The Preparation Program Of Mathematics Specialists And What Lessons Have We Learned About What Needs To Be Added?, S. S. Overcash

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

Contents

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

Title Page, Introduction

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

The Impact Of Elementary Mathematics Specialists, P. F. Campbell, N. N. Malkus

Journal of Mathematics and Science: Collaborative Explorations

Elementary Mathematics Specialists are placed in schools to construct leadership roles and to provide on-site professional development addressing mathematical content and pedagogy in order to enhance instruction and to improve student achievement. A three-year, randomized, control study found that, over time, Specialists had a significant positive impact on student achievement in Grades 3, 4, and 5. This effect on student achievement was not evident at the conclusion of the Specialist's first year of placement. It emerged as knowledgeable Specialists gained experience and as the schools' instructional and administrative staffs learned and worked together. Specialists who were highly engaged with a …

Early Algebra And Mathematics Specialists, M. K. Murray

Journal of Mathematics and Science: Collaborative Explorations

This paper discusses early algebra as it relates to the Mathematics Specialist program. Early algebra is described based on research and readings from the body of literature focused on early algebra. Reasons why early algebra should be emphasized in elementary school mathematics are discussed, followed by a description of the role elementary school Mathematics Specialists must play if schools are to begin to focus on early algebraic instruction. Finally, some suggestions are made for ways the Mathematics Specialist program might encourage more explicitly an early algebraic approach to elementary school mathematics.

Class Notes For Math 953: Algebraic Geometry, Instructor Roger Wiegand, Laura Lynch

Department of Mathematics: Class Notes and Learning Materials

Topics include: Affine schemes and sheaves, morphisms, dimension theory, projective varieties, graded rings, Artin rings

Class Notes For Math 918: Cohen Macaulay Modules, Instructor Roger Wiegand, Laura Lynch

Department of Mathematics: Class Notes and Learning Materials

Topics covered are: Cohen Macaulay modules, zero-dimensional rings, one-dimensional rings, hypersurfaces of finite Cohen-Macaulay type, complete and henselian rings, Krull-Remak-Schmidt, Canonical modules and duality, AR sequences and quivers, two-dimensional rings, ascent and descent of finite Cohen Macaulay type, bounded Cohen Macaulay type.

Class Notes For Math 921/922: Real Analysis, Instructor Mikil Foss, Laura Lynch

Department of Mathematics: Class Notes and Learning Materials

Topics include: Semicontinuity, equicontinuity, absolute continuity, metric spaces, compact spaces, Ascoli’s theorem, Stone Weierstrass theorem, Borel and Lebesque measures, measurable functions, Lebesque integration, convergence theorems, L^p spaces, general measure and integration theory, Radon-Nikodyn theorem, Fubini theorem, Lebesque-Stieltjes integration, Semicontinuity, equicontinuity, absolute continuity, metric spaces, compact spaces, Ascoli’s theorem, Stone Weierstrass theorem, Borel and Lebesque measures, measurable functions, Lebesque integration, convergence theorems, L^p spaces, general measure and integration theory, Radon-Nikodyn theorem, Fubini theorem, Lebesque-Stieltjes integration.

High School Teachers' Perspectives On Effective Approaches For Teaching Biology To Students With Special Needs, Agnieszka Kos

Walden Dissertations and Doctoral Studies

The demands of national educational reforms require high school biology teachers to provide high quality instruction to students with and without special needs. The reforms, however, do not provide teachers with adequate teaching strategies to meet the needs of all students in the same context. The purpose of this grounded theory study was to understand high school biology teachers' perspectives, practices, and challenges in relation to teaching students with special needs. This approach was used to develop a substantive model for high school biology teachers who are challenged with teaching students with and without special needs. Data were collected via …