Science and Mathematics Education Commons^™

High School Horticulture Curriculum, Margaret Maratsos

Horticulture and Crop Science

Horticulture is just one of the many topics covered in a high school agriculture curriculum, and yet, there are very few lesson plans or resources available to teachers for these classes specifically. The objectives of this project were to compile a set of lesson plans, lab plans, and tests that would emphasize interactive and investigative learning. The lesson plans were written in such a way that they reflected a certain set of standards, set down by the state of California, and were meant to serve as a bare outline of topics that would be discussed within a week’s worth of …

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.

Cognitively Guided Instruction (Cgi): Whats The Point? A Look Into Cgi And Cgi’S Potential Role In An 8th Grade Mathematics Class, Bryan C. Anderson

Mathematics Graduate Theses

This study examined the current research that exists on Cognitively Guided Instruction (CGI) and how it would look when implemented into an 8th grade mathematics classroom. Additional questions examined are if CGI would develop strong student understanding between mathematical concepts and their real world applications; if CGI techniques and questioning impact the interest level of mathematics students; and what type of extra resources would be needed by teachers to implement Cognitively Guided Instruction into their curriculum. Although much of the CGI research has been done on elementary students, by also examining key algebra practices the author was able to synthesize …

Reconciling Whales And Lobstermen, Margaret (Peg) A. Van_Patten Ms.

Wrack Lines

Right whales are highly endangered; only 300-400 are left on earth. One of the primary causes of mortality is entanglement in fishing gear. This article is about a Sea Grant project in which lobstermen willingly shared information about how and where they fish to try and help avoid harming whales.

Factors Related To Student Performance In Statistics Courses In Lebanon, Hiba Salim Naccache

Dissertations

The purpose of the present study was to identify factors that may contribute to business students in Lebanese universities having difficulty in introductory and advanced statistics courses. Two statistics courses are required for business majors at Lebanese universities. Students are not obliged to be enrolled in any math courses prior to taking statistics courses. Drawing on recent educational research, this dissertation attempted to identify the relationship between (1) students’ scores on Lebanese university math admissions tests; (2) students’ scores on a test of very basic mathematical concepts; (3) students’ scores on the survey of attitude toward statistics (SATS); (4) course …

Geriatric Content In U.S. Doctor Of Pharmacy Degree Curricula, Sherry Jimenez

Education Doctoral

This study was a quantitative, non-experimental, cross-sectional survey to examine geriatric content in U.S. Doctor of Pharmacy degree curricula. This study, guided by Avedis Donabedian’s structure process outcome (SPO) model for health care quality, examined the current state of geriatric content in Pharm. D. curricula and compared findings to a 2003 study (Dutta, Daftary, Oke, Mims, Hailemeskel, & Sansgiry, 2005). One geriatric pharmacy faculty member from each of the 124 U.S. pharmacy schools was invited to participate in a web-based survey to answer questions relating to geriatric content in their school’s curriculum. The existing, online, self-administered questionnaire consisting of demographic, …

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 …

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.

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. …

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 …

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

The Abundance And Distribution Of Gelatinous Zooplankton In The San Francisco Estuary, Amalia Borson, Lindsay Sullivan, Wim Kimmerer

STAR Program Research Presentations

Until recently, gelatinous zooplankton were not considered important components of the San Francisco Estuary (SFE) foodweb. However, anecdotal evidence, ongoing research, and a few published reports and papers suggest an increase in their abundance over the last 10 to 20 years. Of particular interests are three species of introduced hydromedusae (Blackfordia virginica, Maeotias marginata, and Moerisia lyonsi). All three inhabit the fresh to brackish regions of the estuary, including Suisun Bay, the channels of Suisun Marsh, and the western Sacramento-San Joaquin Delta, and are seasonally abundant throughout late summer and fall. As a result, they overlap …

Read, Retrieve, Connect And Use: An Intervention Strategy For Science And Scientific Literacy, Kerryane T. Monahan

Graduate Student Dissertations, Theses, Capstones, and Portfolios

American students underachieve on local, state, national, and international assessments of science. Student performance on standardized assessments has driven numerous educational reforms including No Child Left Behind and Race to the Top with a resulting increased focus on student achievement. Local districts and schools struggle with how to improve student achievement in order to meet the requirements of state and federal legislation. International and national government officials extol1 the value of science in driving the economic prosperity of a nation adding increased pressure to improve science scores in the United States. Moreover, to be effective decision-makers personally and within a …

The Inclusion Of The Nature Of Science And Its Elements In Recent Popular Science Writing For Adults And Young Adults, Feng Jiang

Graduate Theses and Dissertations

This study was conducted to examine the inclusion of nature of science (NOS) in popular science writing to determine whether it could serve supplementary resource for teaching NOS. Four groups of documents published from 2001 to 2010 were included in the analysis: Scientific American, Discover magazine, winners of the Royal Society Winton Prize for Science Books, and books listed in National Science Teacher Association's (NSTA) Outstanding Science Trade Books for Students K-12.

First, computer analysis was performed to categorize passages in the selected documents based on their inclusions of NOS. Then, follow-up human analysis was conducted to assess the frequency, …

The Relationship Between Middle Level School Science Programs And A Residential Environmental Learning Center, Ryan Mathew Walker

Graduate Theses and Dissertations

A multiple case study investigation examines the relationship between a residential environmental learning center and six schools that attend their program. Pre-experience interviews were conducted with teachers to gain understanding of how they integrate the residential experience with formal classroom instruction. On-site observations of teacher participation during the program provided insight into how they foster student learning during the experience. A student questionnaire was used to reveal students' perceptions of three areas of interest: 1) most meaningful aspects of the experience, 2) most confusing aspects of the experience and 3) topics they would like to know more about. These data …

Characterizing And Supporting Change In Algebra Students' Representational Fluency In A Cas/Paper-And-Pencil Environment, Nicole L. Fonger

Dissertations

Representational fluency (RF) includes an ability to interpret, create, move within and among, and connect tool-based representations of mathematical objects. Taken as an indicator of conceptual understanding, there is a need to better support school algebra students’ RF in learning environments that utilize both computer algebra systems (CAS) and paper-and-pencil. The purpose of this research was to: (a) characterize change in ninth-grade algebra students’ RF in solving problems involving linear equations, and (b) determine conditions of a CAS and paper-and-pencil learning environment in which those students changed their RF.

Change in RF was measured by comparing results from initial to …

Describing The Apprenticeship Of Chemists Through The Language Of Faculty Scientists, Brandy Ann Skjold

Dissertations

Attempts to bring authentic science into the K-16 classroom have led to the use of sociocultural theories of learning, particularly apprenticeship, to frame science education research. Science educators have brought apprenticeship to science classrooms and have brought students to research laboratories in order to gauge its benefits. The assumption is that these learning opportunities are representative of the actual apprenticeship of scientists. However, there have been no attempts in the literature to describe the apprenticeship of scientists using apprenticeship theory. Understanding what science apprenticeship looks like is a critical component of translating this experience into the classroom. This study sought …

Transformative Multicultural Science Curriculum: A Case Study Of Middle School Robotics, Mary Katheryn Grimes

UNLV Theses, Dissertations, Professional Papers, and Capstones

Multicultural Science has been a topic of research and discourse over the past several years. However, most of the literature concerning this topic (or paradigm) has centered on programs in tribal or Indigenous schools. Under the framework of instructional congruence, this case study explored how elementary and middle school students in a culturally diverse charter school responded to a Multicultural Science program. Furthermore, this research sought to better understand the dynamics of teaching and learning strategies used within the paradigm of Multicultural Science. The school's Robotics class, a class typically stereotyped as fitting within the misconceptions associated with the Western …

Joanne Growney's Poetry-With-Mathematics Blog -- An Appreciation, Gregory E. Coxson

Journal of Humanistic Mathematics

Now is a good time to work on the boundaries of practice and theory, of art and science. We are seeing a rising tide of interest in these boundaries. Witness the growing Bridges movement, which has been exploring the connections between mathematics and the arts. Similarly, JoAnne Growney's blog, Intersections -- Poetry with Mathematics, explores the connections between mathematics and poetry. Through this review, I aim to give readers a taste of what can be found in Intersections as a way of encouraging others, be they mathematicians, poets, or neither, to visit the blog.

A Workshop To Introduce Concepts Of Moral Math, Sarah Voss

Journal of Humanistic Mathematics

"Moral Math" refers to the study of ideas drawn from mathematics which can positively impact moral decision-making and social behavior. This essay describes a workshop designed to introduce these ideas to interested individuals of varying degrees of mathematical and theological sophistication. Created by a retired minister and former math professor, the workshop details five sets of interactive exercises culled from game theory, theoretical complexity, fuzzy logic, basic algebra, and simple arithmetic. Exercises are user-friendly, interactive, and easily related by analogy to various social issues.

Gaming Your Mathematics Course: The Theory And Practice Of Games For Learning, Kathleen H. Offenholley

Journal of Humanistic Mathematics

Learning through play is fundamental to humans and to many other animals. Game Based Learning is an interactive pedagogy that has as its foundation the tenet that games, by their very nature, increase learning through positive emotional experience. This article introduces readers to what games in mathematics classes have the potential to do, including to decrease anxiety, increase motivation, and deepen learning through immersive gaming. The article then connects this theory to practice, providing examples of both computer and non-computer games in introductory middle school, high school and college mathematics. The article analyses how these games work, and makes the …

Investigating The Status Of Early Numeracy Skills In Bilingual Dual Language Learner Latino Children Attending Head Start And The Association With Parent Demographic Characteristics, Chavely Lissette Iglesias

USF Tampa Graduate Theses and Dissertations

Research on mathematics achievement has become increasingly important with today's technological advances and demand for specialized knowledge. Though there is much literature regarding mathematics achievement in monolingual speakers, little is known regarding the mathematical abilities of Dual Language Learner (DLL) Latino children. This study examined the early numeracy skills in English and Spanish of 132 DLL Latino children attending Head Start programs in five counties across Florida. Relationships and differences among their performance in both languages were examined, along with the contribution of specific parent demographic variables to math achievement. Findings indicated that DLL Latino Head Start children's performance on …

Parts Of The Whole: The Virtue Of Books, Dorothy Wallace

Numeracy

This column argues that the majority of commercial textbooks do not serve students well. Strategies for change include clearly distinguishing the textbook requirements of different priority subjects and assembling writers who can address, in addition to content development, the cognitive level of the children as well as writing in an age-appropriate way. A discussion of the forces that produce current texts leads to the recommendation that textbooks be a focus of research and improvement rather than the byproduct of an individual’s lecture notes.

Introducing Geoscience Students To Numerical Modeling Of Volcanic Hazards: The Example Of Tephra2 On Vhub.Org, Leah M. Courtland, Charles Connor, Laura Connor, Costanza Bonadonna

Numeracy

The Tephra2 numerical model for tephra fallout from explosive volcanic eruptions is specifically designed to enable students to probe ideas in model literacy, including code validation and verification, the role of simplifying assumptions, and the concepts of uncertainty and forecasting. This numerical model is implemented on the VHub.org website, a venture in cyberinfrastructure that brings together volcanological models and educational materials. The VHub.org resource provides students with the ability to explore and execute sophisticated numerical models like Tephra2. We present a strategy for using this model to introduce university students to key concepts in the use and evaluation of Tephra2 …

Spreadsheets Across The Curriculum, 4: Evidence Of Student Learning And Attitudes About Spreadsheets In A Physical Geology Course, Heather L. Lehto, H. L. Vacher

Numeracy

Spreadsheets have been used in education for teaching math concepts for years. However, when faculty at the University of South Florida began using a new set of spreadsheet-based modules to help teach students math and geology concepts the students were not receptive. The complaint most often heard was that students spent more time learning how to use Excel than they did learning the concepts presented in the modules. We began to wonder if the learning curve for Excel was so great that it prevented our students from attaining the level of learning for the math and geology concepts that we …

Number Sense: The Underpinning Understanding For Early Quantitative Literacy, Effie Maclellan

Numeracy

The fundamental meaning of Quantitative Literacy (QL) as the application of quantitative knowledge or reasoning in new/unfamiliar contexts is problematic because how we acquire knowledge, and transfer it to new situations, is not straightforward. This article argues that in the early development of QL, there is a specific corpus of numerical knowledge which learners need to integrate into their thinking, and to which teachers should attend. The paper is a rebuttal to historically prevalent (and simplistic) views that the terrain of early numerical understanding is little more than simple counting devoid of cognitive complexity. Rather, the knowledge upon which early …

Quantitative Reasoning And Sustainability, Corrine H. Taylor

Numeracy

Quantitative Reasoning and Sustainability have much in common. Both are complex, nuanced concepts with rather long definitions that have evolved over time. Both subjects are “everybody’s business” on college campuses, and must be approached in courses across the curriculum, not merely in one course on QR or in one course on Sustainability. The growing, wider presence of both QR and Sustainability on college campuses is due to their applicability in individuals’ personal, professional, and public lives. Moreover, QR and Sustainability support and enhance each other in and out of the classroom. Sustainability is an important, authentic, relevant context for lessons …

Assessing Impulsive-Analytic Disposition: The Likelihood-To-Act Survey And Other Instruments, Kien Lim, Amy Wagler

Selected Works Temporary Series

The likelihood-to-act (LtA) survey is a 32-item instrument that measures impulsive and analytic dispositions in solving math problems. In this research report, we compare it to other instruments related to the impulsive-analytic construct such as Frederick’s Cognitive Reflection Test (CRT) and the Barratt Impulsive Scale in terms of mean scores, Cronbach alpha values, and correlation values. Both LtA-Impulsive and LtA-Analytic subscales have acceptable reliabilities of 0.79 and 0.83 respectively. The LtA-Analytic and LtA-Difference (analytic-impulsive difference) correlated well with other the Need for Cognition subscale and CRT scores. The correlations involving LtA-Impulsive subscale were unexpected and call for further investigation.

Impulsive-Analytic Disposition In Mathematical Problem Solving: A Survey And A Mathematics Test, Kien Lim, Amy Wagler

Selected Works Temporary Series

The Likelihood-to-Act (LtA) survey and a mathematics test were used in this study to assess students’ impulsive-analytic disposition in the context of mathematical problem solving. The results obtained from these two instruments were compared to those obtained using two widely-used scales: Need for Cognition (NFC) and Barratt Impulsivity Scale (BIS). The exhibited correlations of the LtA scores with the NFC, BIS, and a math test provide evidence of the criterion validity of the analytic LtA items, and suggests further revision of the impulsive LtA items to improve the overall measurement validity of the LtA scale. Students LtA scores were found …

The Hammer-And-Nail Phenomenon In Mathematics Education, Kien Lim

Selected Works Temporary Series

"For a person with a hammer, everything looks like a nail" is a proverb that can be used to highlight the phenomenon that students tend to rely on familiar ideas as opposed to taking time to think about and analyse a problem. Presented in this theoretical paper is the usefulness of the hammer-and-nail metaphor, other related theoretical constructs, pedagogical causes of student impulsive behaviours, and pedagogical suggestions for addressing them.