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Articles 1 - 10 of 10
Full-Text Articles in Education
Parts Of The Whole: Teaching Quantitative Reasoning In An Exponential Decay Model, Dorothy Wallace
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.
Review Of Sustainable Energy -- Without The Hot Air By David Mackay (2009), Kira Hamman
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
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
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
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
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
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 …
Parts Of The Whole: Teaching Quantitative Reasoning In The Predator-Prey Model, Dorothy Wallace
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
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 …
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
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 …