Digital Commons Network^™

Probing For Bias: Comparing Populations Using Item Response Curves, Paul J. Walter, Edward Nuhfer, Crisel Suarez

Numeracy

We introduce an approach for making a quantitative comparison of the item response curves (IRCs) of any two populations on a multiple-choice test instrument. In this study, we employ simulated and actual data. We apply our approach to a dataset of 12,187 participants on the 25-item Science Literacy Concept Inventory (SLCI), which includes ample demographic data of the participants. Prior comparisons of the IRCs of different populations addressed only two populations and were made by visual inspection. Our approach allows for quickly comparing the IRCs for many pairs of populations to identify those items where substantial differences exist. For each …

Financial Literacy And French Behaviour On The Stock Market, Luc Arrondel

Numeracy

This article looks back over the different dimensions of financial literacy: theoretical, methodological, empirical and political. The theoretical foundations of the notion of financial literacy are presented with reference to recent contributions by psychological or behavioural economics: “household finance” refers to the concept of financial literacy based on the empirical dead-ends of standard saver theory. This raises the fundamental question as to how to measure and evaluate financial literacy. Here, we are especially interested in the empirical robustness of a standard measure of financial literacy based on three straightforward questions (interest calculations, notion of inflation and risk diversification). Is this …

Parts Of The Whole: The Last Column: Freire's Pedagogy Of Liberation, Dorothy Wallace

Numeracy

The educational theory of Paolo Freire is briefly summarized for instructors of quantitative reasoning, with a focus on what it means to give students “agency.” Some examples are given of how to implement his basic ideas.

From R0 To The Herd: A Review Of The Rules Of Contagion, By Adam Kucharski, Nathan D. Grawe

Numeracy

Adam Kucharski. 2020. The Rules of Contagion: Why Things Spread--and Why They Stop; (London: Profile Books, Ltd.). Hardback ISBN 978-17-88-16019-3. E-book ISBN 978-17-82-83430-4.

Kucharski's well-timed Rules of Contagion provides an introduction to the mathematical and epidemiological principles behind contagious phenomenon. While the author's primary expertise stems from work on biological epidemics, the book points to examples from a wide range of fields including finance, psychology, computer science, and criminology. As such, selections of the book could be used by faculty in a wide range of classes to show how our recent experience with a viral epidemic might add to …

Hey Guys, Women Count! A Review Of Invisible Women: Data Bias In A World Designed For Men By Caroline Criado Perez, Cinnamon Hillyard

Numeracy

Criado-Perez, Caroline. 2019. Invisible Women: Data Bias in a World Designed for Men. (New York: Abrams Press). 304 pp. ISBN: 978-1784706289

The author provides a plethora of examples and data to illustrate how women have been miscounted in many areas including daily life, the work place, design of spaces and technologies, health care, and public systems. Invisible Women provides cited data that could be examined in multiple data literacy courses. This text reminds readers that gender equity still needs attention. The author’s extensive bibliography and examples also provide a basis for exploring data gaps of other invisible populations.

Review Of Numeracy As Social Practice: Global And Local Perspectives, Edited By Keiko Yasukawa, Alan Rogers, Kara Jackson And Brian Street., Helen M. Oughton

Numeracy

Yasukawa, K., Rogers, A., Jackson, K. and Street, B. (Eds) (2018) Numeracy as Social Practice: Global and Local Perspectives, Oxford: Routledge. ISBN 978-1-138-28445-6.

This edited collection of chapters, part of Routledge’s Rethinking Development series, examines the uses of numeracy in a wide variety of contexts in countries around the world, and the educational approaches which reflect – or in many cases, fail to reflect – those real-life numeracy activities. Educators and researchers with a commitment to social justice and global development will find this book a valuable resource for building a broader vision of what numeracy means.

Factors In The Probability Of Covid-19 Transmission In University Classrooms, Charles Connor

Numeracy

University students and faculty members need an effective strategy to evaluate and reduce the probability that an individual will become infected with COVID-19 as a result of classroom interactions. Models are developed here that consider the probability an individual will become infected as a function of: prevalence of the disease in the university community, number of students in class, number of class meetings, and transmission rate in the classroom given the presence of an infected individual. Absolute probabilities that an individual will become infected in a classroom environment cannot be calculated because some of these factors have unknown values. Nevertheless, …

Measuring Numeracy: Validity And The Programme For The International Assessment Of Adult Competencies (Piaac), Samuel L. Tunstall

Numeracy

A tension raised in recent scholarship is that between numeracy as a social practice and numeracy as a functional skill set. Such frameworks for conceptualizing numeracy pose a challenge to assessment because what individuals do with numeracy is not the same as what individuals can do (or express) in an assessment setting. This study builds on work related to numeracy assessment through a validity examination of a portion of a well-known assessment: the OECD’s Programme for the International Assessment of Adult Competencies (PIAAC). In following a path set out by standards for assessment, I ask: What does the PIAAC numeracy …

Quantitative Literacy: A Tool For Survival, Gizem Karaali

Numeracy

In the context of a global pandemic, the need for quantitative literacy has become more urgent. QL and QL-adjacent habits of mind, such as awareness of the limitations of data and modeling, are vital tools of survival that can help people understand today's fast-changing world and make decisions about next actions, in particular in relation to the ongoing protests supporting the #BlackLivesMatter movement. QL does not provide a final answer to most human questions, but it can be an invaluable guide for each individual decision maker.

Covid-19 And Numeracy: How About Them Numbers?, Joel Best

Numeracy

Quantitative efforts to understand the emergence of the COVID-19 pandemic need to be viewed through the lens of social construction. I begin by comparing the efforts to quantitatively measure the plague in London in 1665. Then I develop five propositions for studying the social construction of statistics: (1) facts are social constructions; (2) measuring involves making decisions, (3) counting is not straightforward; (4) all comparisons involve choices; and (5) social patterns shape numbers. After examining how these propositions affect what we know about COVID-19, I consider their implications for moving beyond mathematics when approaching numeracy.

A Comparison Of Students’ Quantitative Reasoning Skills In Stem And Non-Stem Math Pathways, Emily Elrod, Joo Young Park

Numeracy

Quantitative Reasoning (QR) is essential for today’s students, yet most higher education institutions have not effectively addressed this issue. This study investigates students’ quantitative reasoning in STEM and Non-STEM math pathways using a non-proprietary, NSF grant-funded instrument, the Quantitative Literacy & Reasoning Assessment (QLRA). Participants were students enrolled in at least one college-level math pathway course at a large public institution in the southeastern US. The results showed a significant difference between STEM and Non-STEM students’ QLRA scores, with STEM students (n = 244, M = 27%, SD = 16.21%) scoring, on average, about 6% higher than Non-STEM students …

The Covid-19 Pandemic And The Power Of Numbers, Jessica Ancker

Numeracy

The COVID-19 pandemic has produced a deluge of news coverage of quantitative concepts. In this viewpoint, we provide examples of effective and poor quantitative communication by the professional news media as well as social media communicators. Effective examples include a number of online animations and engaging interactive simulations. Examples of poor quantitative communication include the widespread reporting of raw numbers rather than rates, failing to address uncertainty, not providing sufficient context for numbers, and not discussing the implications of false negative and false positive diagnostic test results. Educators can draw from this body of news to develop compelling quantitative literacy …

Development And Assessment Of A Continuing Education Unit In Quantitative Literacy For High School Stem Teachers, Craig P. Mcclure

Numeracy

Influencing the teaching of quantitative literacy at all levels of education can be difficult due to the many demands placed on educators. In a continuing education course, public high school science teachers participated in a pilot study of a program on quantitative literacy, involving defining quantitative literacy, how it is beneficial to students, examples of quantitative literacy education, and how it may be supported in the science classroom. Surveys administered before and after the unit indicate an improvement in the teachers’ understanding of quantitative literacy, and a follow-up survey indicates that the unit impacted classroom practice. Results support the conclusion …

Parts Of The Whole: The Having Of Wonderful Ideas: Eleanor Duckworth Introduces Us To Piaget, Dorothy Wallace

Numeracy

The small book of essays by Eleanor Duckworth has been a staple of teacher education for decades, serving as a bridge between Piaget’s observations of infants and the needs of the classroom. As her examples tend to be of young children, we consider more general ideas in the context of older grades and higher education. Several of her insights are discussed with an eye to application in the field of quantitative education, highlighting the need to integrate issues of pedagogy with those of content.

Art, Artfulness, Or Artifice?: A Review Of The Art Of Statistics: How To Learn From Data, By David Spiegelhalter, Jason Makansi

Numeracy

David Spiegelhalter. 2019. The Art of Statistics: How to Learn From Data. (London: The Penguin Group). 444 pp. ISBN 978-1541618510

The author successfully eases the reader away from the rigor of statistical methods and calculations and into the realm of statistical thinking. Despite an engaging style and attention-grabbing examples, the reader of The Art of Statistics will need more than a casual grounding in statistics to get what Spiegelhalter, I believe, intends from his book. It should be viewed as a companion to a more rigorous textbook on statistical methods but not necessarily a book that makes statistics any …

Dubious Data And Difficult Conversations: Review Of No Bs (Bad Stats): Black People Need People Who Believe In Black People Enough Not To Believe Every Bad Thing They Hear About Black People, By Ivory A. Toldson., Joel Best

Numeracy

Ivory A. Toldson. 2019. No BS (Bad Stats): Black People Need People Who Believe in Black People Enough Not to Believe Every Bad Thing They Hear about Black People; (Boston, Brill). Paperback ISBN 978-90-04-39702-6. E-book ISBN 978-90-04-39704-0.

Ivory A. Toldson is a professor of Counseling Psychology at Howard University and the current editor-in-chief of the Journal of Negro Education (founded in 1932), and offers an unapologetic critique of how statistical malpractice has misrepresented the situation of Blacks in the United States. Readers of Numeracy should find his examples and analysis both interesting and thought-provoking.

Introducing The Art Of Statistics: How To Learn From Data, David Spiegelhalter

Numeracy

Spiegelhalter, David. 2019. The Art of Statistics: How to Learn from Data (New York, NY: Basic Books) 448 pp. ISBN 978-1541618510.

This short piece introduces readers to The Art of Statistics: How to Learn from Data, a new book by David Spiegelhalter. In this age of data, classic statistical courses can appear of limited relevance due to their focus on probability-based methodology. The book takes a modern approach to introducing the essential concepts of statistical science, avoiding mathematics and structured around real problems that data can help solve, many based on the author's own experience.

The Author’S Reflections On No B.S. (Bad Stats): Black People Need People Who Believe In Black People Enough Not To Believe Every Bad Thing They Hear About Black People, Ivory A. Toldson

Numeracy

Toldson, Ivory. A. 2019. No BS (Bad Stats): Black People Need People Who Believe in Black People Enough Not to Believe Every Bad Thing They Hear About Black People (Boston, MA: Brill-Sense) 194 pp. ISBN 978-9004397026.

This essay provides an introduction to No BS (Bad Stats): Black People Need People Who Believe in Black People Enough Not to Believe Every Bad Thing They Hear About Black People. In the essay, the author discusses how cynical views about the educational potential of Black children motivated him to write a book that challenges negative statistics. The essay also outlines the harmful …

Planting Seeds Of Numeracy: Supporting Quantitative Literacy In Young Children, Jennifer Ward, Victoria J. Damjanovic

Numeracy

This paper aims to present how quantitative literacy was made a focus in a preschool classroom of three- and four-year-old children. With a focus on examining two areas of quantitative literacy, number knowledge and counting (Jordan, Kaplan, and Locuniak 2007) we seek to explore how educators, within an early childhood setting, used a project approach (Katz, Chard, and Kogan, 2014) and inquiry-based practices to build and extend upon the emerging competencies of the children. Utilizing narrative inquiry (Clandinin & Connelly, 2000), we draw from planning meeting notes, lesson plans, and lesson artifacts to construct a story that chronicles the journey …

Avoiding Over-Diagnosis: Exploring The Role Of Gender In Changes Over Time In Statistics Anxiety And Attitudes, Kelly Rhea Macarthur

Numeracy

The importance of quantitative literacy for creating and maintaining a democratic and just society is unequivocal, but undergraduate students often do not acquire these important skills. One barrier to teaching quantitative literacy skills is students’ anxiety. The empirical evidence of the extent of the problem, however, does not seem to match anecdotal accounts of instructors who may be “diagnosing” statistics anxiety as universal among students and across different sources of anxiety. The purpose of this study is to identify the specific aspects of statistics anxiety that present barriers to student success by employing the Statistics Anxiety Rating Scale (STARS) to …

Effects Of Quantitative Literacy On Healthcare Decision-Making: An Aural Context, Robert G. Root, Sonia Bhala

Numeracy

We propose a relationship between sensory modality, numerical formatting, and performance on a survey simulating healthcare decision-making. We examine the current literature on aural health literacy, and specifically aural literacy coupled with health numeracy. We then create a survey instrument called the Bhala test for this purpose and demonstrate that it is moderately internally consistent and provides results that correlate with the NUMi assessment, a widely accepted measure of health numeracy. The quantitative information provided in the Bhala test has two treatments, percentage and natural frequency formats, in an effort to determine which format is easier for subjects to use …

The Past, Present And Future Of Q-Step – A Programme Creating A Step-Change In Quantitative Social Science Skills, Steve Grundy

Numeracy

This article provides an outline of the conception and implementation to date of Q-Step, a national programme to make high-level quantitative skills an essential element of teaching and learning in social sciences across the UK. Q-Step has supported the development and delivery of specialist undergraduate programmes (including new courses, work placements, and pathways to postgraduate study) in order to increase the number of quantitatively trained social scientists in the UK. There are 17 UK universities currently participating in the programme which has been funded by the Nuffield Foundation, the Economic and Social Research Council (ESRC), and the former Higher Education …

Know Your Rights As An Author In Open Access Publications, Leetta M. Schmidt, Jason Boczar, Carol Ann Davis

Numeracy

How do you, as an author, take control of your own intellectual property? What criteria should you keep in mind when evaluating a journal for the submission of your work? This editorial discusses the answers to these questions, with an emphasis on an open access environment where a publication’s quality might be harder to define. It also offers tips for negotiating your rights, as an author, over your intellectual property. Numeracy authors publish under a Creative Commons license, so we will explain what that means and why Numeracy’s newly-added Publication Ethics & Malpractice Statement is important.

Are We At A Watershed Moment For The Quantitative Literacy Movement?: Review Of Shifting Context, Stable Core: Advancing Quantitative Literacy In Higher Education, By Luke Tunstall, Gizem Karaali, And Victor Piercey, Eds., Maura Mast

Numeracy

Luke Tunstall, Gizem Karaali, and Victor Piercey, eds. 2019. Shifting Concepts, Stable Core: Advancing Quantitative Literacy in Higher Education. Math Notes 88. (Mathematics Association of America, MAA Press). Print ISBN 978-0-88385-198-2. Electronic ISBN 978-1-61444-324-7.

The thematic approach of the edited MAA Notes volume Shifting Contexts, Stable Core: Advancing Quantitative Literacy in Higher Education is that the “construct” of quantitative literacy is now fairly stable, but the contexts in which quantitative literacy is taught (and practiced) continue to change. Several chapters give the reader much to consider regarding what constitutes the foundation of this stable core and, relatedly, how quantitative …

Parts Of The Whole: Logical Categories Of Learning: Why Teaching Qr Is Hard, Dorothy Wallace

Numeracy

This column introduces the reader to an essay by anthropologist Gregory Bateson on the nature of learning. In that essay, he stratifies the learning process into categories based on what aspect of the student’s understanding is required to change in order to accomplish a given learning task. A discussion of the first three categories is followed here by examples from quantitative reasoning tasks and a further example from the ongoing discussion in the community of what numeracy entails. Bateson’s classification of learning into “logical categories” sheds light on what the goals of numeracy ask of both student and teacher, as …

Review Of Factfulness: Ten Reasons We're Wrong About The World—And Why Things Are Better Than You Think, By Hans Rosling, Anna Rosling Rönnlund, And Ola Rosling., Richard L. Goerwitz Iii

Numeracy

Hans Rosling, Anna Rosling Rönnlund, and Ola Rosling. 2018. Factfulness: Ten Reasons We're Wrong About the World—and Why Things Are Better Than You Think. (New York, NY: Flatiron Books). 352 pp. ISBN 978-1250107817. Also available in audio and e-book formats.

Rosling et al.’s Factfulness is built around a thirteen-question public-health, environment, and population survey that nobody scores well on, not even people who should know better (for example, academics, politicians, diplomats, and business leaders): We all utterly fail to appreciate key ways in which the earth is steadily becoming a better place for people to live. Despite its title, and …

Graphicacy For Numeracy: Review Of Fundamentals Of Data Visualization: A Primer On Making Informative And Compelling Figures By Claus O. Wilke (2019), Christy M. Bebeau

Numeracy

Wilke, Claus O. 2019. Fundamentals of Data Visualization: A Primer on Making Informative and Compelling Figures. (Sebastopol, CA: O’Reilly Media, Inc.). 390 pp. ISBN 978-1-492-03108-6. First edition. First release: 03-15-2019.

Claus O. Wilke has authored an excellent reference about producing and understanding static figures, figures used online, in print, and for presentations. His book is neither a statistics nor programming text, but familiarity with basic statistical concepts is helpful. Written in three parts, the book presents both the math and artistic design aspects of telling a story through figures. Wilke makes extensive use of examples, labels them good, bad, …

Taking Multiple Regression Analysis To Task: A Review Of Mindware: Tools For Smart Thinking, By Richard Nisbett (2015), Jason Makansi

Numeracy

Richard Nisbett. 2015. Mindware: Tools for Smart Thinking.(New York, NY: Farrar, Strauss, and Giroux). 336 pp. ISBN: 9780374536244

Nisbett, a psychologist, may not achieve his stated goal of teaching readers to “effortlessly” extend their common sense when it comes to quantitative analysis applied to everyday issues, but his critique of multiple regression analysis (MRA) in the middle chapters of Mindware is worth attention from, and contemplation by, the QL/QR and Numeracy community. While in at least one other source, Nisbett’s critique has been called a “crusade” against MRA, what he really advocates is that it not be used as …

Decisions, Decisions: Review Of Mindware: Tools For Smart Thinking By Richard E. Nisbett, Anne Kelly

Numeracy

Richard Nisbett. 2015. Mindware: Tools for Smart Thinking. (New York, NY: Farrar, Strauss, and Giroux). 336 pp. ISBN: 9780374536244.

Social psychologist Richard E. Nisbett provides help in identifying and overcoming faulty cognitive strategies and replacing them with more accurate heuristics. To do so, Nisbett draws from statistics, correlation, experiments, differences in Western and Eastern thought, and, especially, social influence.

The Numbers We Need: Review Of Shifting Contexts, Stable Core: Advancing Quantitative Literacy In Higher Education, Edited By Luke Tunstall, Gizem Karaali, And Victor Piercey (2019), John Macinnes

Numeracy

Luke Tunstall, Gizem Karaali, and Victor Piercey, eds. 2019. Shifting Contexts, Stable Core: Advancing Quantitative Literacy in Higher Education. Math Notes 88. (Mathematics Association of America, MAA Press). Print ISBN 978-0-88385-198-2. Electronic ISBN 978-1-61444-324-7.

Mine is a rather UK-centric view. The ability to understand numbers is increasingly vital for citizenship in a world where almost every argument, no matter how bogus, comes with numbers attached. Maths and stats, however, are too important to leave to the mathematicians and statisticians alone. There are as many varieties of application as there are disciplines and interests. Maths faculty are not there to …