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Numeracy

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Full-Text Articles in Science and Mathematics Education

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 Apr 2019

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 Jan 2019

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 Jan 2019

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 ...


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 Nov 2018

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 Jul 2018

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 Jul 2018

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 ...


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 Jul 2018

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 Jun 2018

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 Jan 2018

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.


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 Jan 2018

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 ...


Reducing Mathematics Anxiety, Catherine Pearn Oct 2017

Reducing Mathematics Anxiety, Catherine Pearn

Catherine Pearn

Catherine Pearn discusses how to approach maths anxiety in the classroom. The symptoms of mathematics anxiety vary from expressing a dislike of mathematics to an adult who had to exit a lecture theatre in a hurry when numbers are displayed on a screen.


Where Do Students Get Their Money From?, Rebecca Vukovic Aug 2017

Where Do Students Get Their Money From?, Rebecca Vukovic

Teacher infographics

The OECD programme for International Student Assessment (PISA) in 2015 examined 15 year old students’ financial literacy skills. This infographic compares the main sources of income for students from Australia, with the average from participating OECD countries.


Financial Literacy, Jo Earp Aug 2017

Financial Literacy, Jo Earp

Teacher infographics

An international assessment of 15-year-old students' financial literacy includes data on their experiences, attitudes and behaviours, as well as their academic performance. Here are some of the findings from Australia.


A Quantitative Reasoning Approach To Algebra Using Inquiry-Based Learning, Victor I. Piercey Jul 2017

A Quantitative Reasoning Approach To Algebra Using Inquiry-Based Learning, Victor I. Piercey

Numeracy

In this paper, I share a hybrid quantitative reasoning/algebra two-course sequence that challenges the common assumption that quantitative literacy and reasoning are less rigorous mathematics alternatives to algebra and illustrates that a quantitative reasoning framework can be used to teach traditional algebra. The presentation is made in two parts. In the first part, which is somewhat philosophical and theoretical, I explain my personal perspective of what I mean by “algebra” and “doing algebra.” I contend that algebra is a form of communication whose value is precision, which allows us to perform algebraic manipulations in the form of simplification and ...


Discovery Learning Plus Direct Instruction Equals Success: Modifying American Math Education In The Algebra Classroom, Sean P. Ferrill Mr. Jun 2017

Discovery Learning Plus Direct Instruction Equals Success: Modifying American Math Education In The Algebra Classroom, Sean P. Ferrill Mr.

Honors Projects

In light of both high American failure rates in algebra courses and the significant proportion of innumerate American students, this thesis examines a variety of effective educational methods in mathematics. Constructivism, discovery learning, traditional instruction, and the Japanese primary education system are all analyzed to incorporate effective education techniques. Based on the meta-analysis of each of these methods, a hybrid method has been constructed to adapt in the American Common Core algebra classroom.


An Investigation Of Palindromes And Their Place In Mathematics, Ryan Andrew Nivens May 2017

An Investigation Of Palindromes And Their Place In Mathematics, Ryan Andrew Nivens

Ryan Andrew Nivens

What do the Honda Civic, the Mazda 626, and the Boeing 747 have in common? What about Weird Al's song Bob, the first name of Miley Cyrus' alter ego, and the 70s sensation Abba? What do all these things have in common? They all contain palindromes. While some people recognise a palindrome when they see one, fewer realise that a palindrome is a special case of a pattern and that these patterns are all around. Palindromes frequently occur in names, both of vehicles and people, and in music.


An Exploration Of The Math Names For Numbers: An Early Childhood Mathematics Intervention, Suzanne Magargee May 2017

An Exploration Of The Math Names For Numbers: An Early Childhood Mathematics Intervention, Suzanne Magargee

Theses & Dissertations

A longitudinal study of the effects of an early childhood mathematics intervention was conducted in 2 private elementary schools in a large city in central Texas. The study included 377 participants in prekindergarten through fifth grades. Explicit non-inverted number names were taught in English and Spanish to prekindergarten and kindergarten students, with formative assessments conducted during this timeframe. Summative assessment results from standardized achievement tests were collected in grades 1 through 5 from 341 of the participants. Normal curve equivalent scores of total mathematics achievement, problem solving, and mathematics procedures were compared among groups of children with no or up ...


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 Jan 2017

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 faced ...


Providing Open-Access Know How For Directors Of Quantitative And Mathematics Support Centers, Michael Schuckers, Mary B. O'Neill, Grace Coulombe Jan 2017

Providing Open-Access Know How For Directors Of Quantitative And Mathematics Support Centers, Michael Schuckers, Mary B. O'Neill, Grace Coulombe

Numeracy

The purpose of this editorial is to introduce the quantitative literacy community to the newly published A Handbook for Directors of Quantitative and Mathematics Centers. QMaSCs (pronounced “Q-masks”) can be broadly defined as centers that have supporting students in quantitative fields of study as part of their mission. Some focus only on calculus or mathematics; others concentrate on numeracy or quantitative literacy, and some do all of that. A QMaSC may be embedded in a mathematics department, or part of a learning commons, or a stand-alone center. There are hundreds of these centers in the U.S. The new handbook ...


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 Jan 2017

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

Transition and Post-School Education and Training

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 ...


Pisa 2015 : A First Look At Australia’S Results, Sue Thomson, Lisa De Bortoli, Catherine Underwood Dec 2016

Pisa 2015 : A First Look At Australia’S Results, Sue Thomson, Lisa De Bortoli, Catherine Underwood

Lisa De Bortoli

The Programme for International Student Assessment (PISA) is an international comparative study of student achievement directed by the Organisation for Economic Co-operation and Development (OECD). PISA 2015 represents the sixth such study since PISA was first conducted in 2000. Seventy-two OECD countries or partner economies participated in PISA 2015. In Australia, PISA is managed by the Australian Council for Educational Research (ACER) and is jointly funded by the Australian Government and the state and territory governments. The goal of PISA is to measure how well 15-year-olds, who are nearing the end of their compulsory schooling in most participating educational systems ...


Pisa 2015 : A First Look At Australia’S Results, Sue Thomson, Lisa De Bortoli, Catherine Underwood Dec 2016

Pisa 2015 : A First Look At Australia’S Results, Sue Thomson, Lisa De Bortoli, Catherine Underwood

OECD Programme for International Student Assessment (PISA Australia)

The Programme for International Student Assessment (PISA) is an international comparative study of student achievement directed by the Organisation for Economic Co-operation and Development (OECD). PISA 2015 represents the sixth such study since PISA was first conducted in 2000. Seventy-two OECD countries or partner economies participated in PISA 2015. In Australia, PISA is managed by the Australian Council for Educational Research (ACER) and is jointly funded by the Australian Government and the state and territory governments. The goal of PISA is to measure how well 15-year-olds, who are nearing the end of their compulsory schooling in most participating educational systems ...


Enhancing Students’ Mathematical Aspirations And Mathematical Literacy As The Foundation For Improving Stem Learning, Merrilyn Goos Aug 2016

Enhancing Students’ Mathematical Aspirations And Mathematical Literacy As The Foundation For Improving Stem Learning, Merrilyn Goos

2009 - 2018 ACER Research Conferences

Mathematics is the foundational enabling discipline that underpins STEM and its other constituent disciplines of science, technology and engineering. Central to Australia’s mathematical vitality is universal access to high-quality mathematics education. Without this, young people are at risk of early school leaving, low participation in post-school education and training, poor employment outcomes, and social isolation (COAG, 2008; Parsons & Bynner, 2005). But Australia faces significant problems in ensuring that all young people are successfully engaged in learning mathematics at school, and in providing them with teachers who can inspire their learning. This paper explores approaches to addressing two problems that ...


Review Of Sustainable Energy -- Without The Hot Air By David Mackay (2009), Kira Hamman Jul 2016

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 energy ...


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 Jul 2016

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 ...


Words Matter: Discourse And Numeracy, Samuel L. Tunstall Jul 2016

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 QL ...


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 Jan 2016

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 charts that display data aggregated as quantiles; and ...


Pisa 2015 : A First Look At Australia’S Results Data Tables [Excel], Sue Thomson, Lisa De Bortoli, Catherine Underwood Jan 2016

Pisa 2015 : A First Look At Australia’S Results Data Tables [Excel], Sue Thomson, Lisa De Bortoli, Catherine Underwood

OECD Programme for International Student Assessment (PISA Australia)

The data tables for the report PISA 2015 : a first look at Australia's results (2016). This report provided a first look at the results from PISA 2015, and focused on the achievement results in scientific, reading and mathematical literacy.


The Impact Of Early Numeracy Intervention On Kindergarten Students, Jennifer L. Hill Oct 2015

The Impact Of Early Numeracy Intervention On Kindergarten Students, Jennifer L. Hill

EDL Sixth Year Theses

The purpose of this study was to explore the effectiveness of early numeracy intervention with kindergarten students. In order to grow a stronger understanding of how providing mathematics intervention can benefit students, the intervention was provided to kindergarten students aimed to seek answers to how providing the earliest possible intervention can positively impact the achievement gap and a child’s understanding of number. This study explored the impact early numeracy intervention had on five kindergarten students and compared their growth to those of their peers not receiving intervention to determine the positive impact providing Response to Intervention had on kindergarten ...


Session H: Pisa: Behind The Headlines And Past The Rankings, Sue Thomson, Chris Wardlaw Aug 2015

Session H: Pisa: Behind The Headlines And Past The Rankings, Sue Thomson, Chris Wardlaw

Dr Sue Thomson

Whenever the results of the Programme for International Student Assessment (PISA) are announced, media headlines are full of reports about rankings, about how many countries Australia is outperformed by and outperforms. In early rounds of PISA, Australia ranked among the top 10 countries across all three education domains assessed. However, over time Australia’s position has declined, rather than improved, and Australia no longer sits in the top 10 of any of the assessed domains. This presentation will go behind the headlines and past the rankings, to look at where Australia has declined, and look at how we can improve ...