Education 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.

College Students’ Numeracy Events In Discussing Public Issues, Samuel L. Tunstall

Numeracy

An important consideration in the design and development of numeracy-focused coursework is ensuring that one meets students where they are with respect to both their mathematics background and their existing numeracy practices in relation to public issues. The latter consideration is especially important, given that students already think about such issues in their daily lives, long before we use them as a means for motivating quantitative exploration in the classroom. In this article, I report on a qualitative study of eight college students’ numeracy events—that is, events mediated in some way by quantification–when reasoning in focus groups with three distinct …

What Can We Learn From The Different Understandings Of Mathematical Literacy?, Svein Arne Sikko

Numeracy

Mathematical literacy, quantitative literacy, numeracy, matheracy, disciplinary literacy, and content-area literacy are among a plethora of terms used to link mathematics and literacy. In addition to this abundance of terms, the content of the terms is not precise, and in some cases the terms are used interchangeably. I delve into this landscape and dissect the meaning of each of them. From such an analysis of mathematical literacy, numeracy, and quantitative literacy, we learn about the importance of quantitative practices and elementary mathematics in society, including both how mathematics is necessary for everyday life but also how it can be used …

Covid-19: A Developing Crisis For Quantitative Reasoning, Nathan D. Grawe

Numeracy

Assessment data show substantial learning losses resulting from pandemic-era teaching and learning. While all learning domains have been affected, mathematics performance shows particularly large losses among elementary and secondary school students. Advocates for quantitative reasoning in high schools and colleges should anticipate weaker levels of basic numeracy among entering cohorts for a decade to come. As a consequence, the urgency to reform curricula and student support has never been greater.

Lessons From The Pandemic, Nathan D. Grawe

Numeracy

The COVID-19 pandemic highlights the importance of quantitative literacy--for policy makers and the public at large. While all aspects of numeracy have been shown relevant to the past year, our need for broader statistical literacy appear particularly pressing. Pandemic experiences may motivate greater interest in developing numeracy skills.

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 …

Simplified But Not The Same: Tracing Numeracy Events Through Manually Simplified Newsela Articles, Ellen C. Agnello

Numeracy

New York-based education startup Newsela has quickly gained popularity with K-12 educators in the six years since its launch. Its website boasts that it serves 90% of schools in the United States including the 1.5 million teachers they employ and their 20 million students. But what makes it so popular? Teachers are drawn to its Common Core-aligned informational texts which facilitate content-area connections while exposing students to important current events. Likely the most appealing aspect of the platform is its compatibility with differentiation, as it makes available five iterations of each article at varying levels of complexity or Lexile which …

Using An Online Numeracy Practice Test To Support Education Students For The Numeracy Component Of The Lantite, Thuan Thai, Kate Hartup, Adelle Colbourn, Amanda Yeung

Australian Journal of Teacher Education

In Australia, teacher education students must pass the Literacy and Numeracy Test for Initial Teacher Education (LANTITE) to meet accreditation requirements. Although this has been mandated since 2016, there are currently few resources available for students to use in preparation for the test. To help students prepare for the numeracy component of the LANTITE, we developed an online Numeracy Practice Test (NPT) through the institution’s learning management system. This study assessed the learning analytics from the NPT between students who subsequently passed the numeracy component of the LANTITE with those that failed. Our results show that students who passed performed …

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 …

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 …

Scottish National Assessments Inform Next Steps For Learning

International Developments

ACER works with the Scottish Government, in partnership with Twig and SCHOLAR, to develop and deliver assessments of literacy and numeracy learning progress. Since 2017, more than a million assessments have been completed by children and young people throughout Scotland.

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 …

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 …

Introducing Maa Notes #88: Shifting Contexts, Stable Core: Advancing Quantitative Literacy In Higher Education, Samuel L. Tunstall, Gizem Karaali, Victor Piercey

Numeracy

Tunstall, Samuel, Gizem Karaali, and Victor Piercey, eds. 2019. Shifting Contexts, Stable Core: Advancing Quantitative Literacy in Higher Education (Washington, DC: Mathematical Association of America) 258 pp. ISBN 978-1614443247.

This brief essay introduces readers to Shifting Contexts, Stable Core: Advancing Quantitative Literacy in Higher Education, a new edited volume published by the Mathematical Association of America. We begin by describing the story behind the volume, and then outline its four major parts: "A Bird’s Eye View," "Curriculum for Quantitative Literacy," "Quantitative Literacy in an Institutional Context," and "Perspectives from the Quantitative Literacy Community." We end with an excerpt from …

Crossing The Final Frontier: Exploring The Numeracy Demands Of Texts Read In English Language Arts, Ellen C. Agnello, Kevin M. Agnello

Numeracy

Incited by the National Assessment of Educational Progress’ 2009 Reading Framework and the Common Core State Standards, recent shifts in national education goals have urged English language arts teachers to make curriculum adjustments. One such adjustment is to shift their focus from fiction, which has traditionally dominated the curriculum, to nonfiction. Doing so has the potential to increase students’ exposure to informational texts which often employ numeric modes to represent quantitative data, thus necessitating numeracy knowledge. This article presents a study of 60 nonfiction texts taught in secondary ELA classrooms. Through analysis of these texts, it addresses the questions: Which …

Paired Measures Of Competence And Confidence Illuminate Impacts Of Privilege On College Students, Rachel M. Watson, Edward Nuhfer, Kali Nicholas Moon, Steven Fleisher, Paul Walter, Karl Wirth, Christopher Cogan, Ami Wangeline, Eric Gaze

Numeracy

We seek to understand how the experiences of groups that differ in gender, ethnicity, and sexual orientation produce college-level educational performances that differ from the experiences of the dominant majority group. We employ two datasets: a National Database of 24,701 participants and a Paired-Measures Database with 3,323 participants. Both datasets provide demographic information, socioeconomic conditions of status as first-generation student, English as a first language, and interest in majoring in science, and competency scores on understanding science as a way of knowing obtained from the Science Literacy Concept Inventory. The Paired-Measures Database includes additional self-assessed competence ratings that enabled quantifying …

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 …

Learning About Numeracy: The Impact Of A Compulsory Unit On Pre-Service Teachers' Understandings And Beliefs, Helen J. Forgasz, Jennifer Hall

Australian Journal of Teacher Education

: In 2015, a new Master of Teaching coursework unit, Numeracy for Learners and Teachers, was introduced at Monash University in Melbourne, Australia. The drivers for the establishment of the unit were the Australian Institute for Teaching and School Leadership numeracy standards for graduate teachers and the inclusion of numeracy as a general capability in the Australian Curriculum. In this article, we describe the content and organisation of the unit. An evaluation was conducted with students in each of the years 2015-2017. Data included pre- and post-unit surveys and interviews. Findings indicated that students had fairly good numeracy skills on …

Australia’S Literacy And Numeracy Test For Initial Teacher Education Students: Trends In Numeracy For Low- And High-Achieving Students, Jennifer Hall, Simone Zmood

Australian Journal of Teacher Education

The numeracy capabilities of pre-service teachers are a recent focus in the Australian educational system. In this article, we discuss findings from an analysis of data from the Literacy and Numeracy Test for Initial Teacher Education Students (LANTITE), which is administered by the Australian Council for Educational Research. In our analysis, we considered numeracy test data from 20 students from one Australian university: those who achieved the 10 highest and the 10 lowest overall numeracy scores in 2016 at this university on their first attempt of the test. We found that these groups clearly have particular characteristics that were linked …

Three Formative Questions In The Quantitative Literacy Movement, Dorothy Wallace

Numeracy

In this essay we remember early discussions attempting to answer three questions that played a formative role in our understanding of and approach to numeracy, quantitative literacy, and quantitative reasoning: (1) What is numeracy? (2) Should the QL movement promote any specific kind of pedagogy? (3) What organizational structure will best support QL?

As the QL movement has progressed, these three questions continue to be difficult to answer. As a result, they have been useful formative guides for institutions and organizations seeking to improve the quantitative reasoning of students. Now that the quantitative literacy movement has a firmer standing in …

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.

On "Icky" Data, The Political Classroom, And Towards Equity And Social Justice In Mathematics Education: A Conversation With Tonya Bartell, Samuel L. Tunstall, Oyemolade Osibodu, Tonya Gau Bartell

Numeracy

Tonya G. Bartell, ed. 2018. Towards Equity and Social Justice in Mathematics Education (Switzerland: Springer International Publishing) 341 pp. ISBN 978-3319929064.

This brief interview with Tonya Bartell introduces Towards Equity and Social Justice in Mathematics Education to the Numeracy audience. The interviewers also discuss with Tonya connections between quantitative literacy and mathematics for social justice, particularly in the context of US K-12 schooling. Tonya shares her perspective on topics ranging from the placement of quantitative literacy in K-12 mathematics education and how one might get started in incorporating a social justice lens into their teaching to paradigms for research …

Calculus Of The Impossible: Review Of The Improbability Principle (2014) By David Hand And The Logic Of Miracles (2018) By Lásló Mérő, Samuel L. Tunstall

Numeracy

David J. Hand. 2014. The Improbability Principle: Why Coincidences, Miracles, and Rare Events Happen Every Day (New York, NY: Scientific American/Farrar, Straus and Giroux) 288 pp. ISBN: 978-0374175344.

Lásló Mérő. 2018. The Logic of Miracles: Making Sense of Rare, Really Rare, and Impossibly Rare Events (New Haven, CT: Yale University Press) 288 pp. ISBN: 978-0300224153.

David Hand and Lásló Mérő both grapple with the occurrence of seemingly impossible events in these two popular science books. In this comparative review, I describe the two books, and explain why I prefer Hand's treatment of the impossible.

Six Propositions Of A Social Theory Of Numeracy: Interpreting An Influential Theory Of Literacy, Jeffrey Craig, Lynette Guzmán

Numeracy

We share our experiences comprehending social theory as it applies to numeracy scholarship. We build on existing arguments that social theory—explicitly acknowledging the presence and influence of histories, power, and purposes—offers something important to scholars who study and discuss numeracy. In this article, we translate the six propositions of one particular social theory of literacy into propositions about numeracy, then we explore the meaning of each proposition, its connections to existing scholarship, and its implications. This article emerges from two literature reviews: one on social theories (especially their application to and development in literacy) and one on numeracy. We bring …

Improving Literacy And Numeracy In The Pacific, Elizabeth Cassity

International Developments

ACER is collaborating with member nations of the Pacific Community to address the common education challenges they face. Elizabeth Cassity reports.

International Developments (No.8) 2018

International Developments

In this issue of International Developments we investigate a synthesis of research evidence that identifies the impact of interventions that offer high value in meeting education’s greatest challenges in development contexts. We explore how ACER’s school assessments are playing a part in supporting improvements in teaching and learning, and we examine the benefits of a program to collect evidence of education quality for governments, schools, communities and students in the Pacific region. This issue of International Developments also looks at ACER’s work with partners across South Asia to ensure inclusive and quality education for all, the development of a ‘road …

Parts Of The Whole: Hands On Statistics, Dorothy Wallace

Numeracy

In this column we describe a hands-on data collection lab for an introductory statistics course. The exercise elicits issues of normality, sampling, and sample mean comparisons. Based on volcanology models of tephra dispersion, this lab leads students to question the accuracy of some assumptions made in the model, particularly regarding the normality of the dispersal of tephra of identical size in a given atmospheric layer.