Physical Sciences and Mathematics Commons^™

Parts Of The Whole: Observing The State Of The System, Dorothy Wallace

Numeracy

This column draws on the approach of statistician J. Edwards Deming to analyze sources and consequences of variation in an education system. Educational systems are not immune from the effects of poor statistical control, which makes it difficult for teachers to teach effectively and for managers such as principals to improve on school performance. It is also argued that the need for statistical control in these areas is in tension, if not outright conflict, with our goals for educating students.

Two Popular Books For Quantitative Literacy: What The Numbers Say, And The Numbers Game, Robert G. Root

Numeracy

Niederman, Derrick, and Boyum, David. What the Numbers Say: A Field Guide to Mastering Our Numerical World. (New York: Broadway Books/Random House, 2003). 288 pp. Hardcover, ISBN 978-0-7679-0998-3. Paperback, 978-0-7679-0999-0. Available as an eBook.

Blastland, Michael, and Dilnot, Andrew. The Numbers Game: The Commonsense Guide to Understanding Numbers in the News, in Politics and in Life. (New York: Gotham Books/Penguin, 2009). 192 pp. Hardcover, ISBN 978-1-5924-0423-0. Paperback, ISBN 978-1-5924-0485-8. Available as an eBook.

Popular books on quantitative literacy need to be easy to read, reasonably comprehensive in scope, and include examples that are thought-provoking and memorable. In contrast …

Numeracy: Open-Access Publishing To Reduce The Cost Of Scholarly Journals, Todd A. Chavez

Numeracy

Each fiscal year, as academic librarians throughout the United States prepare materials budgets, a national “groan” ensues. Regardless of their format (i.e. print or digital), serial subscription costs are escalating, in the process impacting the role of the library in advancing scholarly communication . This paper examines some of the economic issues concerning open-access (OA) journal publishing. The importance of quantitative literacy is suggested for librarians and academics seeking a better understanding of alternatives to traditional journal subscription models and to anyone considering ventures into OA publishing. Quantitative literacy is essential for managing alternatives to the rising cost of scholarly …

College Algebra In Context: A Project Incorporating Social Issues, Michael T. Catalano

Numeracy

This paper discusses the development of an innovative college algebra text designed for use in a data-driven, activity-oriented college algebra course, incorporating realistic problem situations emphasizing social and economic issues, including hunger and poverty, energy, and the environment. The course incorporates quantitative literacy themes, is informed by existing college algebra texts within the college algebra reform movement, and implements a collaborative pedagogical approach intended to provide future K-12 teachers an alternative model for the teaching of mathematics. The paper contains a short history of the project development phase, supported by an NSF grant (DUE #0442979), as well as the perceived …

An Activity Promoting The Practice Of Quantitative Literacy For Pre– And In–Service Teachers Of Mathematics And Science, Timothy L. Sorey, Teri Willard, Duane Sholz

Numeracy

The purpose of this article is to describe a hands-on, laboratory activity that provided pre-service teachers in mathematics and science methods courses, and also some in-service mathematics teachers, with the opportunity to exercise quantitative literacy (QL) skills. The focus of the activity is electrical resistance, more particularly the resistance (in ohms) that is painted on small resistors by the use of color-coded bands, one of which is a band for % error. The activity consists of four parts. In the first, student teams familiarize themselves with the code, measure the ohmage of resistors for which the codes are visible, and …

Are Statistics Labs Worth The Effort?--Comparison Of Introductory Statistics Courses Using Different Teaching Methods, Jose H. Guardiola, Nadina Duran-Hutchings, Hassan Elsalloukh

Numeracy

This paper compares the academic performance of students in three similar elementary statistics courses taught by the same instructor, but with the lab component differing among the three. One course is traditionally taught without a lab component; the second with a lab component using scenarios and an extensive use of technology, but without explicit coordination between lab and lecture; and the third using a lab component with an extensive use of technology that carefully coordinates the lab with the lecture. Extensive use of technology means, in this context, using Minitab software in the lab section, doing homework and quizzes using …

Envisioning A Quantitative Studies Center: A Liberal Arts Perspective, Gizem Karaali, Philip I. Choi, Sara Owsley Sood, Eric B. Grosfils

Numeracy

Several academic institutions are searching for ways to help students develop their quantitative reasoning abilities and become more adept at higher-level tasks that involve quantitative skills. In this note we study the particular way Pomona College has framed this issue within its own context and what it plans to do about it. To this end we describe our efforts as members of a campus-wide committee that was assigned the duty of investigating the feasibility of founding a quantitative studies center on our campus. These efforts involved analysis of data collected through a faculty questionnaire, discipline-specific input obtained from each departmental …

A Rubric For Assessing Quantitative Reasoning In Written Arguments, Nathan D. Grawe, Neil S. Lutsky, Christopher J. Tassava

Numeracy

This paper introduces a rubric for assessing QR in student papers and analyzes the inter-rater reliability of the instrument based on a reading session involving 11 participants. Despite the disciplinary diversity of the group (which included a faculty member from the arts and literature, two staff members, and representatives from five natural and social science departments), the rubric produced reliable measures of QR use and proficiency in a sample of student papers. Readers agreed on the relevance and extent of QR in 75.0 and 81.9 percent of cases respectively (corresponding to Cohen’s κ= 0.611 and 0.693). A four-category measure of …

Confessions Of A Weak Tie, Joel Best

Numeracy

No abstract provided.

Five Thousand Downloads, H L Vacher

Numeracy

No abstract provided.

Detection Of Psilocybin Mushroom Analogs In Chocolate: Incorporating Current Events Into The Undergraduate Teaching Laboratory, Brandon Huskins, Christopher Dockery

Faculty and Research Publications

In this experiment, tryptamine is used as a psilocin analog and is dispersed onto a Fisher brand cellulose laboratory sponge to simulate dehydrated mushrooms. The resulting “mushroom” material is ground, molded into chocolate, and presented to student groups for real-world and applied analyses. Students isolate the tryptamine from the chocolate using their knowledge of drug chemistry, solubility, pH, extractions, etc. Qualitative analysis is conducted by comparison to standards (Thin Layer Chromatography or Gas Chromatography) and quantitative analysis is conducted by Gas Chromatography using the method of internal standards.

Indirect Gravimetric Determination Of Waters Of Hydration, Marina C. Koether

Faculty and Research Publications

An alternate gravimetric experiment is described that can be employed in the general chemistry or the quantitative analysis laboratory course. The procedure takes less time than conventional methods and introduces students to waters of hydration and indirect determinations.

College Of Engineering Senior Design Competition Fall 2009, University Of Nevada, Las Vegas

Fred and Harriet Cox Senior Design Competition Projects

Each student in his or her senior year chooses, plans, designs, and prototypes a product in this required element of the curriculum. 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.

A highlight of the year-long senior design project is the senior design competition. This competition, which usually takes place the week before finals each semester, helps focus the senior students on increasing the quality and potential for commercial application for their design projects.

Judges from local industry evaluate the projects on innovation, commercial …

Exploring Some Inattended Affective Factors In Performing Nonroutine Mathematical Tasks, John Douglas Butler

Master's Theses, Dissertations, Graduate Research and Major Papers Overview

Describes students' attempts to solve nonroutine math problems and explores possible correlates of their performance, focusing on inattended (i.e., intentionally avoided) dimensions underrepresented in the literature, including attitudes, interests, values, aesthetics, metacognition, and representation. Analyzes objective and subjective data gathered from a sample of 9th-grade students at a high school in Rhode Island. Finds strong evidence of students' math-aesthetics in problem solving.

Automation In Cs1 With The Factoring Problem Generator, Joshua B. Parker

Master's Theses

As the field of computer science continues to grow, the number of students enrolled in related programs will grow as well. Though one-on-one tutoring is one of the more effective means of teaching, computer science instructors will have less and less time to devote to individual students. To address this growing concern, many tools that automate parts of an instructor’s job have been proposed. These tools can assist instructors in presenting concepts and grading student work, and they can help students learn to program more effectively. A growing group of intelligent tutoring systems attempts to tie all of this functionality …

Interagency Outdoor Education Programming: Quarterly Progress Report: Period Ending November 30, 2009, Margaret N. Rees

Reports (PLI Education)

Highlights of the university’s focused efforts during the past three months include the following:

• Evaluation results from the NEEI Certification program were presented at the North American Association for Environmental Education (NAAEE) National Conference on October 9, 2009.
• The Story of Gill graphic novel has been printed; a media release/bookstore signing is in the planning stages.
• A total of 60 people participated in Families in Nature events at Red Rock Canyon National Conservation Area and Winchester Cultural Center.
• Registration has opened for the Our Places Tell Stories Conference, February 24 -27, 2010.
• Forever Earth was scheduled for 33 days and …

Integrating Upper Level Content With Introductory Material For Better Learning, With An Example From Mineralogy, Charles W. Carrigan, Priscilla Field Skalac

Faculty Scholarship – Geology

At the start of upper-level courses, many students have difficulty with advanced material that requires a base knowledge of essential concepts in geology and supporting disciplines, along with critical thinking skills. Students have difficulty in 1) recalling introductory course material and connecting it to deeper content, and 2) integrating concepts from supporting courses. We advocate incorporating a broadening concept review into upper level courses. Emphasis is on mastery of introductory material needed to acquire advanced concepts that follow.

Iowa Academy Of Science: The New Bulletin, V05n3, Autumn 2009, Iowa Academy Of Science

New Bulletin

Inside This Issue:

--Message from the Executive Director

--Lois Hattery Tiffany

--Norman Borlaug

--Iowa Science Teaching Section Fall Conference

--2009 IAS Speaker Series at the Saylorville Visitor Center

--Announcements, Events & Deadlines

--IAS Corporate Memberships

--New REAP Plates Coming Soon

--GLOBE Database

--Membership Update

Sixth Grade Lesson Plan: Heat Moves, Getaway Special Team 2009

Education and Outreach

No abstract provided.

Fifth Grade Lesson Plan: Solid, Liquid, And Gas, Getaway Special Team 2009

Education and Outreach

No abstract provided.

Education In The Environment: A Strategy For Continued Interagency Outdoor Education Programming: Quarterly Progress Report: Period Ending August 31, 2009, Environmental Education Strategy For Nevada

Reports (PLI Education)

Highlights of the university’s focused efforts during the past three months include the following:

• Evaluation results from the NEEI Certification program will be presented at the North American Association for Environmental Education National Conference on October 9-10, 2009.
• A grant was received from the Nevada Community Foundation for the printing of The Story of Gill graphic novel.
• A total of 75 people participated in Families in Nature events at the Spring Mountains and Lake Mead National Recreation Areas.
• A third Nevada Environmental Education & Interpretation Certification program was held August 12-18, 2009 for twelve participants.
• A third Our Places Tell …

A Computational Study Of The Effects Of Temperature Variation On Turtle Egg Development, Sex Determination, And Population Dynamics, Amy L. Parrott

Department of Mathematics: Dissertations, Theses, and Student Research

Climate change and its effects on ecosystems is a major concern. For certain animal species, especially those that exhibit what is known as temperature-dependent sex determination (TSD), temperature variations pose a possibly serious threat (Valenzuela and Lance, 2004). In these species, temperature, and not chromosomes, determines the sex of the animal (Valenzuela and Lance, 2004). It is conceivable therefore, that if the temperature changes to favor only one sex, then dire consequences for their populations could occur. In this dissertation, we examine possible effects that climate change may have upon Painted Turtles (Chrysemys picta), a species with TSD. We investigate …

Fan Cohomology And Equivariant Chow Rings Of Toric Varieties, Mu-Wan Huang

Department of Mathematics: Dissertations, Theses, and Student Research

Toric varieties are varieties equipped with a torus action and constructed from cones and fans. In the joint work with Suanne Au and Mark E. Walker, we prove that the equivariant K-theory of an affine toric variety constructed from a cone can be identified with a group ring determined by the cone. When a toric variety X(Δ) is smooth, we interpret equivariant K-groups as presheaves on the associated fan space Δ. Relating the sheaf cohomology groups to equivariant K-groups via a spectral sequence, we provide another proof of a theorem of Vezzosi and Vistoli: equivariant K …

Modeling And Analysis Of Biological Populations, Joan Lubben

Department of Mathematics: Dissertations, Theses, and Student Research

Asymptotic and transient dynamics are both important when considering the future population trajectory of a species. Asymptotic dynamics are often used to determine whether the long-term trend results in a stable, declining or increasing population and even provide possible directions for management actions. Transient dynamics are important for estimating invasion speed of non-indigenous species, population establishment after releasing biocontrol agents, or population management after a disturbance like fire. We briefly describe here the results in this thesis.

(1) We consider asymptotic dynamics using discrete time linear population models of the form n(t + 1) = An(t) where …

Constructed Response Answers In A Multiple-Choice Universe, Carl W. David

Chemistry Education Materials

A scheme is introduced which allows computer readable multiple choice forms used in traditional examinations to be employed for constructed response items.

Iowa Academy Of Science: The New Bulletin, V05n2, Summer 2009, Iowa Academy Of Science

New Bulletin

Inside This Issue:

--Message from the Executive Director

--IJAS Students Speak with NASA Scientists

--Geological Society of Iowa Field Trips

--Announcements, Events & Deadlines

--2009 IJAS Annual Meeting Winners

--2009 IAS Speaker Series at the Saylorville Visitor Center

--Remembering Dr. Thomas Huston Macbride

--Iowa Science Teaching Section Fall Conference

--Project WET

Fan Cohomology And Its Application To Equivariant K-Theory Of Toric Varieties, Suanne Au

Department of Mathematics: Dissertations, Theses, and Student Research

Mu-Wan Huang, Mark Walker and I established an explicit formula for the equivariant K-groups of affine toric varieties. We also recovered a result due to Vezzosi and Vistoli, which expresses the equivariant K-groups of a smooth toric variety in terms of the K-groups of its maximal open affine toric subvarieties. This dissertation investigates the situation when the toric variety X is neither affine nor smooth. In many cases, we compute the Čech cohomology groups of the presheaf K_q^T on X endowed with a topology. Using these calculations and Walker's Localization Theorem for equivariant K-theory, we give explicit formulas …

Parts Of The Whole: Approaching Education As A System, Dorothy Wallace

Numeracy

An educational system is a highly coupled complex system of inputs, outputs, sensors and actuators. Using an engineering perspective, this column begins the process of naming and categorizing parts of the system. It then focuses on teachers as one part of a large system, and analyzes the forces that influence how teachers work, and that draw or repel individuals to a teaching career. The growing shortage of qualified teachers can be explained by properties of the system as a whole that determine the context in which teachers do their job.

Review Of Super Crunchers By Ian Ayers, Eric Gaze

Numeracy

Ayers, I. Super Crunchers: Why Thinking-by-Numbers Is the New Way to be Smart. (Bantam Dell Publishing Group, 2007). 272 pp. Hard cover $25 ISBN 978-0-553-80540-6.

Super Crunchers tells the story of how analyzing data is changing the ways in which decisions are made. We in the National Numeracy Network make a case for the importance of quantitative literacy by referring to how much quantitative information is now available to each of us: “a world awash in numbers.” Ian Ayres zeroes in on the people who are making a living crunching all of these data. From the seemingly innocuous (how …

Review Of Stat-Spotting: A Field Guide To Identifying Dubious Data By Joel Best, Joe Swingle

Numeracy

Best, Joel. Stat-Spotting: A Field Guide to Identifying Dubious Data. (Berkeley: University of California Press, 2008) 144 pp. $19.95. ISBN 1-978-0-520-25746-7.

Stat-Spotting is a practical, do-it-yourself manual for detecting questionable claims reported in the media. Using examples drawn mostly from mass media sources, Stat-Spotting provides readers with a number of useful tips for identifying potentially problematic statistics. The author’s skillful analyses and explanations presented in clear and concise prose make Stat-Spotting an ideal guide for anyone who reads a newspaper, watches television, or surfs the Web. In short, everyone.