Education Commons^™

Acer’S Mathematics Anxiety And Engagement Strategy (Maes): A Framework, Sarah Buckley, Kate Reid, Catherine Pearn, Shani Sniedze

Student learning processes

The Mathematics Anxiety and Engagement Strategy (MAES) was established by the Australian Council for Educational Research (ACER) in 2018 in response to declining mathematics achievement and participation among Australian students. Findings from the 2022 cycle of the Programme for International Student Assessment (PISA) show that 15-year-old students in Australia had significantly lower levels of mathematical literacy than students in 2003 (De Bortoli et al, 2023). The 2022 results also showed that male students outperformed female students and only 30 percent of students from more disadvantaged backgrounds achieved the National Proficient Standard in mathematics compared to 72 percent of students from …

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.

Teacher Resources On Numeracy, Anannya Chakraborty

Teacher India

Teachers have to persistently orient mathematics teaching towards building a strong foundation and improving achievements of students. This article provides a list of short topical online readings on teaching and learning mathematics published by ACER.

Mathematics Anxiety: Supplementary Materials, Sarah Buckley

Student learning processes

This publication contains two professional development activities for teachers which focus on mathematics anxiety. One is a team-based activity and the other is an activity for individuals. The activities encourage both mathematics teachers and non-mathematics teachers to reflect on their current practice, their attitudes towards mathematics, their ideas about teaching mathematics and the mathematical beliefs of students.

Mathematics Anxiety, Sarah Buckley

Student learning processes

This Mathematics Monograph is focussed on helping teachers and school leaders gain a better understanding of: How mathematics anxiety negatively impacts learning and teaching; the symptoms, causes and companions of mathematics anxiety; the difference between reducing mathematics anxiety directly and indirectly; and strategies that can identify and address mathematics anxiety in students and teachers. The Monograph is intended to present information for reflecting and planning how mathematics anxiety can be reduced and regulated in classrooms and in the school community.

Critical Connections Between Numeracy And Mathematics: Supplementary Materials, Dave Tout

Student learning processes

This publication contains three professional development activities targeted at teachers of mathematics. The activities for both groups and individuals focus on the challenge of word problems in maths and connecting maths to the real world. Also included are references, materials and resources related to the issue of the connections between numeracy and mathematics.

Critical Connections Between Numeracy And Mathematics, Dave Tout

Student learning processes

Increasingly research is showing that life and work in the 21st century is requiring higher levels of mathematics and numeracy of its citizens. Numeracy and mathematics are intrinsically connected and BOTH are needed in our ever changing, globalised and technological world. This paper looks at the implications of this for the skills we want our students to develop and leave school with, and how we can better address these in our teaching and learning.

Piaac Numeracy Task Complexity Schema: Factors That Impact On Item Difficulty, Dave Tout, Iddo Gal, Mieke Van Groenestijn, Myrna Manly, Mary Jane Schmitt

Transition and Post-School Education and Training

This paper describes some lessons learned from international adult numeracy assessments that can help in understanding the challenges that people, including both adults and school students, have when solving numeracy tasks and their levels of performance on functional mathematical problems. The paper presents a theoretical schema of five factors that predict, separately and in interaction, the complexity or level of difficulty of mathematically-related assessment tasks, including tasks that incorporate texts and require literacy or reading skills, which are very common in adults' lives. The model was originally developed as part of the development of the Adult Literacy and LifeSkills survey …

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 Early Grade Mathematics Assessment: Assessing Children’S Acquisition Of Basic Numeracy Skills In Developing Countries, Australian Council For Educational Research

Assessment GEMS

The Early Grade Mathematics Assessment (EGMA) is a one-on-one oral assessment designed to measure a student’s foundation skills in numeracy and mathematics in the early grades. The instrument was first developed by the Research Triangle Institute (RTI) International through funding provided by the United States Agency for International Development (USAID). The EGMA has been designed to use as a country-level diagnostic tool to determine how students in a country are performing overall compared to its stated curriculum; and for program evaluation to examine the effectiveness of specific curricula, interventions, or teacher training programs

Investigating The Manifestations Of Bias In Professional Noticing Of Mathematical Thinking Among Preservice Teachers, Jonathan Thomas, Taylor Marzilli, Brittney Sawyer, Cindy Jong, Edna O. Schack, Molly H. Fisher

Science, Technology, Engineering, and Mathematics (STEM) Education Faculty Publications

This study examines potential bias with respect to perceived gender and ethnicity in preservice teachers’ professional noticing of children’s mathematical thinking. The goal of the study was to explore how, and to what extent bias emerges within pre-service teachers’ professional noticing of children of differing perceived races and genders. Our findings suggest that bias tends to emerge in the interpreting phase of professional noticing; however, such emergence did not appear to vary in conjunction with the perceived ethnicity and gender of the student. Further, our findings suggest that the inclusion of visual imagery (i.e. photos) influence the manifestation of bias …

Scottish National Assessments: National Report For Academic Year 2018 To 2019, Australian Council For Educational Research (Acer)

Assessment and Reporting

No abstract provided.

Predicting Third-Grade Mathematics Achievement: A Longitudinal Investigation Of The Role Of Early Numeracy Skills, Allyson J. Kiss, Gena Nelson, Theodore J. Christ

Early and Special Education Faculty Publications and Presentations

Despite the vast research on the early predictors of mathematics achievement, little research has investigated the predictors of various domains of mathematics (e.g., geometry, statistics). The purpose of the present study was to examine the predictive relationship between first-grade early numeracy and computation skills and third-grade mathematics achievement as measured by a state test. Further, we explored the relations between these measures for students who were Below Proficient and Proficient. Findings suggest that proficiency level matters when examining the relation between mathematics skills. Also, there are different patterns of significant predictors depending on the domain of later mathematics achievement and …

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 …

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 …

Developing Numeracy And Problem-Solving Skills By Overcoming Learning Bottlenecks, Anita Lee-Post

Marketing & Supply Chain Faculty Publications

Purpose The purpose of this paper is to present an educational approach to elevating problem-solving and numeracy competencies of business undergraduates to meet workplace demand. The approach is grounded in the theory of constraints following the Decoding the Discipline model. The authors investigated a cognitive bottleneck involving problem modeling and an affective bottleneck concerning low self-efficacy of numeracy and designed specific interventions to address both bottlenecks simultaneously. The authors implemented the proposed approach in an introductory level analytics course in business operations.

Design/methodology/approachThe authors use an empirical study to evaluate the effectiveness of the proposed approach in addressing deficiency in …

Review Of The Piaac Numeracy Assessment Framework: Final Report, Dave Tout, Diana Coben, Vince Geiger, Lynda Ginsburg, Kees Hoogland, Terry Maguire, Sue Thomson, Ross Turner

Ross Turner

The Programme for the International Assessment of Adult Competencies (PIAAC) is an international assessment of the proficiency of adults (aged 16-65 years) in key information processing skills (reading, numeracy and Problem Solving in Technology-Rich Environments). The PIAAC Survey of Adult Skills has revealed that a considerable number of adults in OECD countries possess only limited literacy and numeracy skills. The OECD is currently reviewing the content of the frameworks and cognitive assessment instruments for the 2nd cycle of PIAAC ready for delivery in 2021-22. This report is the result of a review of the numeracy construct and assessment in PIAAC. …

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 …

Scottish National Assessments: National Report For Academic Year 2017 To 2018, Australian Council For Educational Research (Acer)

Assessment and Reporting

This report has been developed to provide a summary of outcomes at a national level on the newly established system of national standardised assessments, which has since been termed ‘Scottish National Standardised Assessments’ (SNSA) in the 2017 to 2018 academic year, the first year of the programme. A central aim of SNSA is also to provide information on the outcomes of Scottish children and young people in literacy and numeracy over time. The assessments have been available for use in publicly funded schools in Scotland since August 2017. They are administered to children and young people in Primary 1, Primary …

Review Of The Piaac Numeracy Assessment Framework: Final Report, Dave Tout, Diana Coben, Vince Geiger, Lynda Ginsburg, Kees Hoogland, Terry Maguire, Sue Thomson, Ross Turner

David (Dave) Tout

The Programme for the International Assessment of Adult Competencies (PIAAC) is an international assessment of the proficiency of adults (aged 16-65 years) in key information processing skills (reading, numeracy and Problem Solving in Technology-Rich Environments). The PIAAC Survey of Adult Skills has revealed that a considerable number of adults in OECD countries possess only limited literacy and numeracy skills. The OECD is currently reviewing the content of the frameworks and cognitive assessment instruments for the 2nd cycle of PIAAC ready for delivery in 2021-22. This report is the result of a review of the numeracy construct and assessment in PIAAC. …

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 …

Class 3 Proficiency In Afghanistan 2015-16 : Outcomes Of A Learning Assessment Of Mathematical And Reading Literacy, Danielle Anzai, Pam Munro-Smith, Sally Robertson, Maurice Walker, Alexander Daraganov

Monitoring Trends in Educational Growth (MTEG)

This report presents the results of an assessment of mathematical and reading literacy of Class 3 students in 15 provinces in Afghanistan. The data were collected between late 2015 and mid-2016. The report also describes the growth in mathematical and reading literacy between Class 3 and Class 6. The Class 6 data were collected from the 2013 assessment in 13 provinces in Afghanistan.

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.

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.