Education Commons^™

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.

Using Generalizability And Rasch Measurement Theory To Ensure Rigorous Measurement In An International Development Education Evaluation, Louise Bahry

Doctoral Dissertations

Between the United States and Great Britain, over 30 billion USD was spent in 2018 on international aid, over a billion of which is dedicated to education programs alone. Recently, there has been increased attention on the rigorous evaluation of aid-funded programs, moving beyond counting outputs to the measurement of educational impact. The current study uses two methodological approaches (Generalizability (Brennan, 1992, 2001) and Rasch Measurement Theory (Andrich, 1978; Rasch, 1980; Wright & Masters, 1982) to analyze data from math and literacy assessments, and self-report surveys used in an international evaluation of an educational initiative in the Democratic Republic of …

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.

Citizen-Led Assessments: A Model For Evidence-Based Advocacy And Action To Improve Learning, Suman Bhattacharjea, Sehar Saeed, Rajib Timalsina, Syeed Ahamed

Assessment and Reporting

Designed as household-based assessments, citizen-led assessments (CLAs) are implemented by local organizations who assess children in their homes, thus reaching the most marginalized children, families, and communities, often in remote areas. CLAs add an essential piece of information for truly monitoring progress and help realistically represent the learning levels of all children – at national, regional, and global levels. By using simple tools and easy-to-understand reports, CLAs engage parents and community members in discussions about learning and help foster understanding of the importance of ensuring quality education through civil action. In this publication, members from organizations conducting CLAs in India, …

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 …

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 …

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 …

Viewpoints: Should Teaching Students Who Fail A Literacy And Numeracy Test Be Barred From Teaching?, Lynn D. Sheridan, Nan Bahr

Faculty of Social Sciences - Papers (Archive)

Starting this month, teaching students who fail or haven't yet taken the Literacy and Numeracy Test for Initial Teacher Education (LANTITE) will not be able to teach in Victorian schools. Previously, around one in 20 teachers who had failed the test or hadn't taken it yet received provisional registration. Prospective students who took the test late in 2018 received their results on January 11.

Principals’ Experiences Leading Strategic Planning In High-Performing Primary Schools In Trinidad And Tobago, Adesh Reitoo Ramlal

Walden Dissertations and Doctoral Studies

In the education system in Trinidad and Tobago, only 60% of students are achieving mastery in literacy and numeracy as documented by national tests. The purpose of this basic qualitative study was to explore principals’ experiences leading strategic planning designed to increase achievement in literacy and numeracy in 8 high-performing primary schools in Trinidad and Tobago. Fullan’s change process theory provided the framework for the study. Data were collected from interviews with 8 principals. Data analysis included coding, categorizing, and identifying themes. Findings indicated that principals plan, implement, and monitor the facilitation of change processes through in-depth strategies in teaching …

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.

Models As Weapons: Review Of Weapons Of Math Destruction: How Big Data Increases Inequality And Threatens Democracy By Cathy O’Neil (2016), Samuel L. Tunstall

Numeracy

Cathy O’Neil. 2016. Weapons of Math Destruction: How Big Data Increases Inequality and Threatens Democracy (New York, NY: Crown) 272 pp. ISBN 978-0553418811.

Accessible to a wide readership, Cathy O’Neil’s Weapons of Math Destruction: How Big Data Increases Inequality and Threatens Democracy provides a lucid yet alarming account of the extensive reach of mathematical models in influencing all of our lives. With a particular eye towards social justice, O’Neil not only warns modelers to be cognizant of the effects of their work on real people—especially vulnerable groups who have less power to fight back—but also encourages laypersons to take initiative …

Connecting Numbers With Emotion: Review Of Numbers And Nerves: Information, Emotion, And Meaning In A World Of Data By Scott Slovic And Paul Slovic (2015), Samuel L. Tunstall

Numeracy

Scott Slovic and Paul Slovic (Eds.). Numbers and Nerves: Information, Emotion, and Meaning in a World of Data (Corvallis, OR: Oregon State University Press, 2015). 272 pp. ISBN 978-0-87071-776-5.

It is common to view quantitative literacy as reasoning with respect to numbers. In Numbers and Nerves, the contributors to the volume make clear that we should attend not only to how students consciously reason with numbers, but also how our innate biases influence our actions when faced with numbers. Beginning with the concepts of psychic numbing, and then psuedoinefficacy, the contributors to the volume examine how our behaviors when …

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 …

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 …

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 …

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 …

The Southern And Eastern Africa Consortium For Monitoring Educational Quality (Superseded Version), Australian Council For Educational Research

Assessment GEMS

The Southern and Eastern Africa Consortium for Monitoring Educational Quality (SACMEQ) carries out large-scale cross-national research studies in member countries in the Southern and Eastern Africa region. It aims to assess the conditions of schooling and performance levels of learners and teachers in the areas of literacy and numeracy. SACMEQ has completed three cross-national educational research projects so far at five- to six-year intervals (SACMEQ I, 1995-1999, SACMEQ II, 1998-2004 and SACMEQ III, 2005-2010). It is currently implementing the fourth project.

Uwezo: Monitoring Children’S Competencies In East Africa, Acer

Assessment GEMS

Uwezo, meaning ‘capability’ in Kiswahili, is an initiative in which the competencies of schoolaged children in Kenya, Tanzania and Uganda are measured to obtain information that encourages changes in educational policy and practice. Uwezo began as a four-year initiative (2009–2013) and it is envisaged that it will run for at least another five-year period (Uwezo, 2011). Uwezo’s goal is to contribute to the improvement of the quality of education. Annual household surveys are implemented to assess the basic literacy and numeracy competencies of school age children across Kenya, Tanzania, and Uganda. Uwezo believes that this information will raise public awareness …

The Annual Status Of Education Report Survey: Monitoring Learning Levels Of Children In Rural India, Australian Council For Educational Research (Acer)

Assessment GEMS

The Annual Status of Education Report (ASER) survey is a household-based survey of school-aged children in all rural districts in India. It is the only annual survey that yields data on children’s basic learning levels in this country. It evolved out of the work of a non-governmental organisation called Pratham. The ASER survey aims to obtain reliable, district-level estimates of the status of rural children’s school enrolment and skills in reading and arithmetic, and to measure the change in these estimates over time.

Parts Of The Whole: Only Connect, Dorothy Wallace

Numeracy

This is the first of several columns that will focus on the mechanisms by which new ideas become accepted by a culture, offering some familiar examples, deriving basic principles from these examples, and applying them to the problem of promoting quantitative literacy in an educational system. In this essay we describe how new concepts become embedded in a culture through their connections to existing ideas, and use this principle to suggest strategies of discourse about numeracy that promote it among various constituencies in the culture.

School Psychologists' Early Numeracy Training And Practices, Jia Liu-Trofimovsky

Legacy Theses & Dissertations (2009 - 2024)

An emergent area of research pertains to early numeracy, or number sense. Early numeracy plays a significant role in the development of mathematics skills, and researchers have recognized its importance for overall academic achievement. This study surveyed practicing school psychologists to investigate current early numeracy training and practices. A nationwide sample of 279 school psychologists completed a Web-based survey modeled after the available early numeracy research. The majority of individuals reported receiving at least one professional development training for academic concerns per year. A larger number of participants had training for reading and early literacy compared to early numeracy. Related …

Pre-School Experience And Literacy And Numeracy Development At The End Of Key Stage 1, Louise Quinn, Edward Melhuish, Karen Hanna, Iram Siraj-Blatchford, Pam Sammons, Brenda Taggart, Aidan Doyle

Faculty of Social Sciences - Papers (Archive)

This longitudinal study assesses the attainment and development of children followed from the age of 3 until the end of Key Stage 1 (age 8). Over 700 children were recruited to the study during 1998 and 1999 from 80 pre-school centres in Northern Ireland. Both qualitative and quantitative methods are used to explore the effects of pre-school experience on children's cognitive attainment and social/behavioural development at entry to school and any continuing effects on such outcomes up to 8 years of age. In addition to the effects of pre-school experience, the study investigates the contribution to children's development of individual …

Pre-School Experience And Literacy And Numeracy Development At The End Of Year 2 Of Primary School, Edward Melhuish, Louise Quinn, Karen Hanna, Kathy Sylva, Iram Siraj-Blatchford, Pam Sammons, Brenda Taggart

Faculty of Social Sciences - Papers (Archive)

This longitudinal study assesses the attainment and development of children followed from the age of 3 until the end of Key Stage 1 (age 8). Over 700 children were recruited to the study during 1998 and 1999 from 80 pre-school centres in Northern Ireland. Both qualitative and quantitative methods are used to explore the effects of pre-school experience on children's cognitive attainment and social/behavioural development at entry to school and any continuing effects on such outcomes up to 8 years of age. In addition to the effects of pre-school experience, the study investigates the contribution to children's development of individual …

Beyond The Middle: A Report About Literacy And Numeracy Development Of Target Group Students In The Middle Years Of Schooling, Allan Luke, John Elkins, Katie Weir, Ray Land, Victoria Carrington, Shelley Dole, Donna Pendergast, Cushla Kapitzke, Christa Van Kraayenoord, Karen Moni, Alistair Mcintosh, Diane Mayer, Mark Bahr, Lisa Hunter, Rod Chadbourne, Tom Bean, Donna Alverman, Lisa Stevens

Mark Bahr

The Report, Beyond the Middle: A Report about Literacy and Numeracy Development of a Target Group Students in the Middle Years of Schooling, provides a useful national coverage of approaches assisting the literacy and numeracy development of Australian students in Years 5 to 10.

The work was undertaken by a research team headed by Professor Allan Luke and Professor John Elkins from the School of Education, University of Queensland and is a study of the efficacy of middle years programmes in all States and Territories for improving teaching and learning, and student outcomes in literacy and numeracy.

The project involved …