Education Commons^™

Parts Of The Whole: Teaching Quantitative Reasoning In An Exponential Decay Model, Dorothy Wallace

Numeracy

The simple calculus example of exponential decay can be an excellent vehicle for teaching quantitative reasoning in calculus or differential equations. Insect maturation provides a rich context for thinking about the meaning of the rate constant for exponential decay, which is derived in the context of a system at equilibrium but is generally measured using a single cohort of individuals.

The Problems Of Contemporariness And Voice: Review Of Literacy & Mathematics: A Contemporary Approach To Quantitative Literacy By Jay P. Abramson And Matthew A. Isom (2005), Gizem Karaali

Numeracy

Jay P. Abramson and Matthew A. Isom. Literacy & Mathematics: A Contemporary Approach to Quantitative Literacy. (Dubuque IA: Kendell Hunt Publishing Co., 2005). 297 pp. ISBN 0-7575-2165-7.

The book under review covers the traditional content of a typical mathematical literacy text. After a brief overview of the book contents, the review then focuses on two specific challenges that QL textbooks have to meet: the timeliness of the contexts used and the subjective author voice that inevitably colors any contextualized discussion. Both issues noticeably arise in the text reviewed. Nonetheless instructors may find it a helpful resource.

Review Of Sustainable Energy -- Without The Hot Air By David Mackay (2009), Kira Hamman

Numeracy

David MacKay. Sustainable Energy: Without the hot air. (Cambridge, England: UIT Cambridge Ltd., 2009). 384 pp. ISBN 978-0954452933 (also available as a free e-book).

Physicist David MacKay transforms what has historically been a debate fraught with skepticism and hysteria into an informed conversation. He does this by providing clear, accurate quantitative information on energy production and consumption in a form that allows comparison and invites thoughtful analysis. By recalibrating power into kilowatt-hours per day per person, he makes the numbers meaningful on an individual level. He then meticulously estimates the productive capacity of various renewable energy sources, explores alternative …

On A Desert Island With Unit Sticks, Continued Fractions And Lagrange, Victor J. Ricchezza, H. L. Vacher

Numeracy

GLY 4866, Computational Geology, provides an opportunity, welcomed by our faculty, to teach quantitative literacy to geology majors at USF. The course continues to evolve although the second author has been teaching it for some 20 years. This paper describes our experiences with a new lab activity that we are developing on the core issue of measurement and units. The activity is inspired by a passage in the 2008 publication of lectures that Joseph Louis Lagrange delivered at the Ecole Normale in 1795. The activity envisions that young scientists are faced with the need to determine the dimensions of a …

Attitudes Toward Statistics Studies Among Students With Learning Disabilities, Orly Lipka, Itay Hess

Numeracy

This study aims to examine the effectiveness of a support course to change attitudes toward statistics studies of post-secondary students who were diagnosed with learning disabilities (LD) and/or Attention Deficit Hyperactivity Disorder (ADHD). The participants were 22 students in a support course that was provided over a single academic term on a weekly basis. The design of the study was according to 'Pre-Post' comparison. The effects on attitudes toward statistics were examined quantitatively and qualitatively to provide a comprehensive methodology for the research purposes. Results suggest that the weekly support course model that was taught simultaneously to the on-line course …

Quantitative Literacy At Michigan State University, 3: Designing General Education Mathematics Courses, Samuel L. Tunstall, Vincent Melfi, Jeffrey Craig, Richard Edwards, Andrew Krause, Bronlyn Wassink, Victor Piercey

Numeracy

In this paper, we describe the process at Michigan State University whereby we have created two courses, Math 101 and 102, designed to foster numeracy and alleviate mathematics anxiety. The courses--which are not sequential--provide a means of satisfying the University's general education requirement without taking college algebra or calculus, among other options. They are context-driven and broken into modules such as "The World and Its People" and "Health and Risk." They have been highly successful thus far, with students providing positive feedback on their interest in the material and the utility they see of it in their daily lives. We …

Words Matter: Discourse And Numeracy, Samuel L. Tunstall

Numeracy

Here I discuss elements of critical discourse analysis (CDA) and their importance in relation to quantitative literacy (QL). Through an overview of theory, synthesis of research, and examples, I argue that the discursive nature of textbooks has a nontrivial impact on students' mathematical dispositions - an important component of QL. In particular, texts are a means of disseminating the culture of mathematics, one which has a tendency to paint mathematics as esoteric and male-dominated. Such a characterization has profound implications for the numeracy community, one of which is that we cannot assume that changes in curriculum are sufficient for effecting …

Rethinking The Numerate Citizen: Quantitative Literacy And Public Issues, Ander W. Erickson

Numeracy

Does a citizen need to possess quantitative literacy in order to make responsible decisions on behalf of the public good? If so, how much is enough? This paper presents an analysis of the quantitative claims made on behalf of ballot measures in order to better delineate the role of quantitative literacy for the citizen. I argue that this role is surprisingly limited due to the contextualized nature of quantitative claims that are encountered outside of a school setting. Instead, rational dependence, or the reasoned dependence on the knowledge of others, is proposed as an educational goal that can supplement quantitative …

Grassroots Numeracy, H. L. Vacher

Numeracy

The readers and authors of papers in Numeracy compose a multidisciplinary grassroots interest group that is defining and illustrating the meaning, content, and scope of quantitative literacy (QL) and how it intersects with educational goals and practice. The 161 Numeracy papers that have been produced by this QL community were downloaded 42, 085 times in a total of 178 countries, including all 34 OECD countries, during 2015 and the first quarter of 2016. A scatterplot of normalized downloads per month vs. normalized total downloads for the eight years of Numeracy’s life allows identification of the 24 “most popular” of …

Parts Of The Whole: Teaching Quantitative Reasoning In The Predator-Prey Model, Dorothy Wallace

Numeracy

The classical predator-prey equations are in nearly every differential equations text and mathematical biology text. Usually they are presented fait accompli, leaving the student to analyze them or play with a computer program. Here we show that the process of fully understanding where these equations come from and how they are derived provides numerous opportunities to teach or reinforce quantitative reasoning skills necessary to future scientists. This example is used to invoke logic, systems thinking, causal reasoning, understanding functions of one or more variables, quantities versus rates of change, proportional reasoning, unit analysis, and comparison to data.

Open Access!: Review Of Online Statistics: An Interactive Multimedia Course Of Study By David Lane, Samuel L. Tunstall

Numeracy

David M. Lane (project leader). Online Statistics Education: An Interactive Multimedia Course of Study (http://onlinestatbook.com/)
Also: David M. Lane (primary author and editor), with David Scott, Mikki Hebl, Rudy Guerra, Dan Osherson, and Heidi Zimmer. Introduction to Statistics. Online edition (http://onlinestatbook.com/Online_Statistics_Education.pdf), 694 pp.

It is rare that students receive high-quality textbooks for free, but David Lane's Online Statistics: An Interactive Multimedia Course of Study permits precisely that. This review gives an overview of the many features in Lane's online textbook, including the Java Applets, the textbook itself, and the resources available for instructors. A discussion …

Using Think-Aloud Protocols To Uncover Misconceptions And Improve Developmental Math Instruction: An Exploratory Study, Charles Secolsky, Thomas P. Judd, Eric Magaram, Stephen H. Levy, Bruce Kossar, George Reese

Numeracy

Deficiencies in education continue to escalate around the world. The focus on outcomes assessment has narrowed instructional research and curriculum evaluation to standardized testing in certain subject areas. A prototype for a quantitative literacy assessment instrument was developed with the goal of diagnosing student misconceptions of basic mathematics content and changing instructional practices to undo the misconceptions by applying cognitive psychological theory. Two hundred thirty-eight basic math high school students and 209 remedial community college students in New Jersey and New York were administered the instrument, which had been based on coded data from think-aloud protocols. The instrument asked students …

Random Number Simulations Reveal How Random Noise Affects The Measurements And Graphical Portrayals Of Self-Assessed Competency, Edward Nuhfer, Christopher Cogan, Steven Fleisher, Eric Gaze, Karl Wirth

Numeracy

Self-assessment measures of competency are blends of an authentic self-assessment signal that researchers seek to measure and random disorder or "noise" that accompanies that signal. In this study, we use random number simulations to explore how random noise affects critical aspects of self-assessment investigations: reliability, correlation, critical sample size, and the graphical representations of self-assessment data. We show that graphical conventions common in the self-assessment literature introduce artifacts that invite misinterpretation. Troublesome conventions include: (y minus x) vs. (x) scatterplots; (y minus x) vs. (x) column graphs aggregated as quantiles; line …

Investigating Proportional Reasoning In A University Quantitative Literacy Course, Vera Frith, Pam Lloyd

Numeracy

The ability to reason with proportions is known to take a long time to develop and to be difficult to learn. We regard proportional reasoning (the ability to reason about quantities in relative terms) as a threshold concept for academic quantitative literacy. Our study of the teaching and learning of proportional reasoning in a university quantitative literacy course for law students consisted of iterative action research, in which we introduced various teaching interventions and analysed students’ written responses to assessment questions requiring students to explain their reasoning in situations that call for proportional reasoning. For this analysis we used a …

What's In A Name? A Critical Review Of Definitions Of Quantitative Literacy, Numeracy, And Quantitative Reasoning, Gizem Karaali, Edwin H. Villafane Hernandez, Jeremy A. Taylor

Numeracy

This article aims to bring together various threads in the eclectic literature that make up the scholarship around the theme of Quantitative Literacy. In investigating the meanings of terms like "quantitative literacy," "quantitative reasoning," and "numeracy," we seek common ground, common themes, common goals and aspirations of a community of practitioners. A decade ago, these terms were relatively new in the public sphere; today policy makers and accrediting agencies are routinely inserting them into general education conversations. Having good, representative, and perhaps even compact and easily digestible definitions of these terms might come in handy in public relations contexts as …