Scholarship of Teaching and Learning Commons^™

The International Crisis In Numeracy Education, Nathan D. Grawe

Numeracy

The OECD recently released results from the 2022 administration of the Programme for International Student Assessment test. As other studies suggest, pandemic mitigation policies resulted in deep learning loss including in basic mathematics which forms the foundation of numeracy. Perhaps of greater concern, however, in many countries pandemic effects amplify declining performance that dates back a decade or more. Losses of two or more years' worth of mathematics education are not uncommon among developed countries. The editorial makes an urgent call for research that identifies practical steps to reverse these trends.

Numeracy Tasks: Inspiring Transfer Between Concrete And Abstract Thinking Spaces, Taras Gula, Miroslav Lovric

Numeracy

In our paper we build a case for conceptualizing numeracy tasks as distinct from mathematical tasks (or at least as a special type of mathematical task), and for abstraction and interpretation as a set of key activities necessary for designating a numeracy task as being high-quality. We start with an attempt to tame the fuzziness of numeracy and its family members (including quantitative reasoning, quantitative literacy, mathematical literacy, and the word problem cousins) by outlining six areas of consensus gleaned from literature. These provide the foundation for a core mandate of numeracy. We then build our case for the distinctness …

Threshold Concepts In Quantitative Reasoning, Judith Canner, Jennifer E. Clinkenbeard

Numeracy

The idea of “threshold concepts” has been used to identify discipline-based concepts that are critical to that academic area. Threshold concepts are often difficult for students to assimilate in a meaningful way but, once done, can be powerful for the learner. In general, threshold concepts are 1) transformative to learner thinking; 2) bounded by the discipline; 3) integrative with other concepts; and 4) irreversible once understood (Meyer and Land 2003). This paper presents five threshold concepts in quantitative reasoning (QR) developed by transdisciplinary faculty workgroups that may be applicable for non-mathematics disciplines as well. They are as follows: 1) QR …

Covid Learning Loss: A Call To Action, Nathan D. Grawe

Numeracy

The COVID-19 pandemic and policy responses designed to mitigate transmission have caused deep and persistent mathematics learning loss among K–12 students. While initial data might have been read optimistically as a blip that would reverse once schools returned to normal, 2023 data from the National Assessment of Educational Progress (NAEP) show that losses persist. While the NAEP does not directly measure quantitative reasoning (QR), the data present a disturbing picture for QR instruction and call for new lines of research that inform QR pedagogical response.

Teacher Candidate Self-Efficacy And Ability To Teach Literacy: A Comparison Of Residency And Traditional Teacher Preparation Models, Doreen L. Mazzye, Michelle A. Duffy, Richard L. Lamb

Journal of Global Education and Research

This comparative study explored self-efficacy and ability for scientifically-based literacy instruction between a traditional and residency model of teacher preparation. Pre-/post-survey data was collected using the Teachers’ Sense of Efficacy for Literacy Scale. Mentor teachers completed a modified version of the survey on candidates’ abilities. Data were analyzed using paired sample t-tests, independent sample t-tests, and a trend analysis. Results revealed that candidates in the Residency Model held higher levels of self-efficacy for literacy instruction than in the Traditional Model. Mentor teachers rated candidates in the Residency Model as more able to teach literacy than those in the …

Encountering American Higher Education: First-Year Academic Transition Of International Undergraduate Students In The United States, Masha Krsmanovic

Journal of Global Education and Research

This study explored how international undergraduate students perceive their academic transition into American higher education. Schlossberg’s (1984) 4S Transition Theory served as the framework for exploring what academic challenges, if any, international students experience during their first year of undergraduate studies in a new cultural and educational setting. The findings revealed that students’ academic transition into the U.S. higher education was characterized by difficulties in understanding the academic system of their new environment; overcoming educational, instructional and pedagogical differences; building social relationships with domestic students; and receiving the support necessary from the appropriate institutional services.

Talking About Statistical Significance In Numeracy, Nathan D. Grawe, Gizem Karaali

Numeracy

In recent years, much debate has surrounded the potential for audiences to be mislead by several common practices when reporting statistical significance tests. Two editors of Numeracy share the journals perspectives on these questions. As an interdisciplinary journal, we recognize and honor the genre differences represented by our authors and audience members. As a consequence, the journal is open to many practices. Still, we acknowledge the concerns raised by the American Statistical Association and others and encourage authors to write with care and clarity, however results may be represented.

Let All Voices Be Heard: Creating An Engaging And Inclusive Asynchronous Qr Classroom, Ruby A. Daniels, Kathryn Appenzeller Knowles

Numeracy

With the shift to remote teaching, many instructors used Zoom for synchronous work. However, this presented issues (fatigue, turning cameras off, inequitable technical hurdles) that motivated quantitative reasoning (QR) instructors to look for asynchronous alternatives. A common technique has been text-based online discussions, which can be difficult for students to find engaging. This mixed method study (N = 41) describes an inclusive video alternative, specifically for teaching QR and quantitative fluency skills, which was piloted in two asynchronous sections and one hybrid section of the same course. Students posted their video responses, watched their classmates’ videos, and wrote short …

Teaching Inequality In Brazil: A Study Abroad Exploration Of Race, Class, Gender, Sexuality, And Geography, Edvan P. Brito, Anthony J. Barnum

Journal of Global Education and Research

This paper presents and analyzes a case study of a five-week study abroad course called Inequality in Brazil: An exploration of race, class, gender, sexuality, and geography. The course was constructed to teach social inequality in the context of Brazil by using place-based and experiential learning within the framework of critical pedagogy (Freire, 1989). By examining inequality through the lens of culture and geography, students were empowered to become student-teachers in their explorations of race, class, gender, and sexuality as they linked theory to practice and lived experience. This paper provides an example of how study abroad can be …

Building A Social And Academic Online Bridge To Quantitatively-Rich College Coursework, Melissa Eblen-Zayas, Lin Winton

Numeracy

We describe the online summer portion of a quantitative skills bridge program focused on helping students prepare socially and academically for the transition to college. College students are increasingly asked to employ quantitative skills across the curriculum, but students arrive at college with varied preparation. Further, those with the least preparation often encounter other challenges to social belongingness and navigating their institution. In response to these needs, our institution developed a bridge program aimed at students with a broad range of interests -- not just STEM, and the program has a significant focus on community-building as well as strengthening quantitative …

"Side By Side With A Ruinous, Ever-Present Past": Trauma-Informed Teaching And The Eighteenth Century, Clarissa, And Fantomina, Kate Parker, Bryan M. Kopp, Lindsay Steiner

ABO: Interactive Journal for Women in the Arts, 1640-1830

This article explores the need for and applications of trauma-informed teaching in eighteenth-century studies, particularly around representations of sexual trauma (rape) and consent. The prevalence of trauma guarantees its presence in our classrooms, even and especially in its absences. As the field of eighteenth-century studies continues to reframe its white, Eurocentric, male-dominated past through more intentionally inclusive research and teaching methods, particularly those that explore the intersections of eighteenth-century studies and social justice approaches to education, the presence of trauma in our classrooms will become only more significant. Keeping in mind those students of marginalized identities who are most likely …

Confidence Intervals Of Covid-19 Vaccine Efficacy Rates, Frank Wang

Numeracy

This tutorial uses publicly available data from drug makers and the Food and Drug Administration to guide learners to estimate the confidence intervals of COVID-19 vaccine efficacy rates with a Bayesian framework. Under the classical approach, there is no probability associated with a parameter, and the meaning of confidence intervals can be misconstrued by inexperienced students. With Bayesian statistics, one can find the posterior probability distribution of an unknown parameter, and state the probability of vaccine efficacy rate, which makes the communication of uncertainty more flexible. We use a hypothetical example and a real baseball example to guide readers to …

Investigating Alignment In A Quantitative Literacy Course For Social Sciences Students, Vera Frith, Pam Lloyd

Numeracy

The Numeracy Centre at the University of Cape Town has taught a one-semester quantitative literacy course for social sciences students since 1999. This study aims to provide an example for how the design of such a course can be assessed for alignment with quantitative reasoning goals. We propose a framework of learning outcomes for the course and use that framework to analyse the assessments and student performance on them. We find that just under half of the overall mark for the course was devoted to the interpretation and communication of quantitative information (our “main” outcomes), and about a quarter was …

National Numeracy Network Officers And Board Of Directors, Milo Schield

Numeracy

National Numeracy Network Officers and Board of Directors in the year 2020.

Equitable Mathematics Classroom Discourse, Liza Bondurant

Journal of Practitioner Research

In this article the author shares a self-study investigation into how the quality of talk and opportunities to participate are distributed across individual students based on race and gender in her college math class. Readers will learn how to conduct a similar investigation in their classroom. A discussion of ways to use the information gathered from equitable mathematics classroom discourse investigations will follow.

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, …

A Proposed Literature-Based Syllabus For Eap Writing, Kyle Perkins, Xuan Jiang

Journal of Global Education and Research

This paper proposes a literature-based composition course for advanced Non-native English Speaking (NNES) students in an English for Academic Purpose (EAP) program and provides a rationale, a syllabus, and some suggested pedagogy for consideration. The principal reasons for choosing a literature-based format include the following: (1) extended writing about a text, or texts, should lead to reading comprehension improvement; (2) culturally responsive literature should enhance engagement; (3) reading literature, as writerly reading, will assist NNES students with developing strategies applied to reading-to-write tasks and to integrated writing skills; (4) reading for writing (RFW) will expose NNES students to a wide …

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 …

Alignment Between Learning Objectives And Assessments In A Quantitative Literacy Course, Younggon Bae, Samuel L. Tunstall, Kathryn S. Knowles, Rebecca L. Matz

Numeracy

In this analysis, we examine how course assessment items were aligned with learning objectives in a quantitative literacy course at Michigan State University. The alignment analysis consisted of mapping assessment items to a list of operationalized learning objectives from the course. Our analysis shows how often the learning objectives are represented in assessment items, how often they are paired with other learning objectives, and how influential they are in contributing to a student’s course grade. In addition, through comparisons across four assessment types (e.g., exams and homework), we show how each learning objective was assessed differently within each assessment type. …

The Ultimatum Game: An Introduction To Quantitative Literacy In A Social Justice Context, Robert G. Root

Numeracy

The Ultimatum Game is a two-person, multiple-strategy game widely used in the experimental social sciences to demonstrate the human propensity for costly punishment in response to inequitable treatment. The game serves to provide quantitative evidence for a diversity of fairness norms across cultures. The play of the game and its interpretation offer nuanced views of the nature and importance of quantitative literacy. Its use in a writing seminar connecting quantitative literacy and social justice is described.

Roots And Seeds: Finding Our Place In The Social Practice Nexus That Is Quantitative Literacy, H. L. Vacher, Nathan D. Grawe

Numeracy

The purpose of our new Roots and Seeds feature is to provide an open-access space to archive first-hand accounts of QL activities that have preceded our journal (2008). The first two contributions in the collection appeared last issue: Linda Sons on the making of what has come to be known as the 1994 Sons Report (Mathematics Association of America), and Dorothy Wallace on her path to the Quantitative Literacy Design Team for Mathematics and Democracy (2001), and the questions that bedeviled them then – and us now. In this issue, we get Rick Gillman’s account of how the committee that …

Investigating Levels Of Graphical Comprehension Using The Locus Assessments, Charlotte A. Bolch, Tim Jacobbe

Numeracy

Statistical literacy refers to two interrelated components: people’s ability to interpret and critically evaluate statistical information, and their ability to discuss or communicate their reactions to statistical information. The ability to read and interpret graphical displays is part of statistical literacy because much of the statistical information people encounter in their everyday lives are graphical displays or tables of data. The purpose of this study was to investigate college-level students’ graphical comprehension. Students’ graphical comprehension was assessed using items from the Levels of Conceptual Understanding in Statistics (LOCUS) assessments. Much can be learned about students’ graphical comprehension based on this …

Numeracy And Social Justice: A Wide, Deep, And Longstanding Intersection, Kira Hamman, Victor Piercey, Samuel L. Tunstall

Numeracy

We discuss the connection between the numeracy and social justice movements both in historical context and in its modern incarnation. The intersection between numeracy and social justice encompasses a wide variety of disciplines and quantitative topics, but within that variety there are important commonalities. We examine the importance of sound quantitative measures for understanding social issues and the necessity of interdisciplinary collaboration in this work. Particular reference is made to the papers in the first part of the Numeracy special collection on social justice, which appear in this issue.

Pilot Study Of The Influence Of Social Anxiousness On Students’ Classroom Interactions Among Chinese Undergraduates, Lili Zhang, Yu Zhang

Journal of Global Education and Research

Although most people acknowledge the importance of interactions in class, it is commonly seensome students still rarely actively participate in face-to-face interactions, especially those from a Confucian cultural background. Previous research focused on many factors to understand this phenomenon, yet social anxiousness has not been given enough attention as a possible reason. This correlational study on 93 Chinese undergraduates attempted to investigate the influences of social anxiousness on students’ interactions in class, using Interaction Anxiousness Scale (IAS) by Leary (1983), and a self-reported measure of students’ interaction in class developed by the researchers. Results indicated that both students’ social anxiousness …

The Quantitative Reasoning For College Science (Quarcs) Assessment 2: Demographic, Academic And Attitudinal Variables As Predictors Of Quantitative Ability, Katherine Follette, Sanlyn Buxner, Erin Dokter, Donald Mccarthy, Beau Vezino, Laci Brock, Edward Prather

Numeracy

In this article, we explore the ability of demographic and attitudinal variables to predict student scores on the Quantitative Reasoning for College Science (QuaRCS) Assessment. Variables measured by the assessment include: students' academic choices and plans, attitudes and perceptions regarding mathematics, self-reported effort level, and basic demographics such as age, race/ethnicity, gender and disability status. As in previously published numeracy studies, we find significant score deviations according to gender, race/ethnicity, and disability status; however, the effect size of these correlations pale in comparison to the effect size of affective/attitudinal variables on QuaRCS score. A large number of variables with …

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 …

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 …