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Numeracy

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Articles 31 - 60 of 75

Full-Text Articles in Science and Mathematics Education

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

2009 - 2018 ACER Research Conferences

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 ...


Review Of Case Studies For Quantitative Reasoning: A Casebook Of Media Articles By Bernard L. Madison, Stuart Boersma, Caren L. Diefenderfer, And Shannon W. Dingman, Samuel L. Tunstall Jul 2015

Review Of Case Studies For Quantitative Reasoning: A Casebook Of Media Articles By Bernard L. Madison, Stuart Boersma, Caren L. Diefenderfer, And Shannon W. Dingman, Samuel L. Tunstall

Numeracy

Bernard L. Madison, Stuart Boersma, Caren L. Diefenderfer, and Shannon W. Dingman. Case Studies for Quantitative Reasoning: A Casebook of Media Articles (Pearson Learning Solutions, 2012). 215 pp. ISBN 9781256512875.

Concisely organized and timely to a tee, Case Studies for Quantitative Reasoning contains a wealth of articles and exercises to promote higher-order thinking in any course where quantitative literacy is a goal. The text is a self-contained package complete with just enough mathematics to ensure that all students can join in. It contains a total of twenty-four case studies, each of which highlights how numbers appear in day-to-day media. The ...


Parts Of The Whole: Moderating Competition In The World Of Ideas, Dorothy Wallace Jan 2015

Parts Of The Whole: Moderating Competition In The World Of Ideas, Dorothy Wallace

Numeracy

In both biological and mathematical dynamical systems, competition may be moderated by the presence of a top predator of both competing species. Applying this principle in memetics sheds light on why some strategies are more likely than others to promote quantitative literacy in various kinds of institutions.


Assessing Numeracy In The Upper Elementary And Middle School Years, Carol Ann Gittens Jan 2015

Assessing Numeracy In The Upper Elementary And Middle School Years, Carol Ann Gittens

Numeracy

Numeracy is the ability or tendency to reason critically about quantitative information. The preponderance of published research on numeracy examines this construct among either pre-K or early elementary samples, students with developmental challenges, or is focused on post-secondary and adult cohorts. The numeracy skills of upper-elementary and middle school students is less documented and understood, most notably because of the lack of valid instruments that are developmentally appropriate for the age range. A numeracy scale for use among upper-elementary and middle school students is introduced in this paper. Scale validation was performed using a gender-balanced, racially / ethnically diverse sample of ...


The Word Problem Factor: Assessing The Ability Of Utah High School Career And Technical Education Students To Do The Math Involved In Formulating And Calculating Energy Cost Factors, Kristen Bentley Dec 2014

The Word Problem Factor: Assessing The Ability Of Utah High School Career And Technical Education Students To Do The Math Involved In Formulating And Calculating Energy Cost Factors, Kristen Bentley

All Theses and Dissertations

Much research has been done showing the difficulty people have with word problems. This has been shown to be true for many types of word problems and for different demographics. Questions have remained unanswered regarding the reasons for this difficulty. It has been unclear if the word problems were hard because the people had forgotten or had not yet learned how to do the math calculations involved or for some other reason. This study deals with high school students who are currently in a high school level math class. They were given an assessment involving word problems and number-only problems ...


Using Competencies To Explain Mathematical Item Demand: A Work In Progress, Ross Turner, Werner Blum, Morgens Niss Aug 2014

Using Competencies To Explain Mathematical Item Demand: A Work In Progress, Ross Turner, Werner Blum, Morgens Niss

Ross Turner

This chapter describes theoretical and practical issues associated with the development and use of a rating scheme for the purpose of analysing mathematical problems—specifically, to assess the extent to which solving those problems calls for the activation of a particular set of mathematical competencies. The competencies targeted through the scheme are based on the mathematical competencies that have underpinned each of the PISA Mathematics Frameworks. The scheme consists of operational definitions of the six competencies (labelled as communication; devising strategies; mathematisation; representation; using symbols, operations and formal language; and reasoning and argument), descriptions of four levels of activation of ...


Buried Or Not? What’S Happened To Numeracy?, David Tout Aug 2014

Buried Or Not? What’S Happened To Numeracy?, David Tout

David (Dave) Tout

International surveys reveal a worrying decline in adult numeracy development. Dave Tout makes the case for a renewed focus.


Parts Of The Whole: Strategies For The Spread Of Quantitative Literacy: What Models Can Tell Us, Dorothy Wallace Jul 2014

Parts Of The Whole: Strategies For The Spread Of Quantitative Literacy: What Models Can Tell Us, Dorothy Wallace

Numeracy

Two conceptual frameworks, one from graph theory and one from dynamical systems, have been offered as explanations for complex phenomena in biology and also as possible models for the spread of ideas. The two models are based on different assumptions and thus predict quite different outcomes for the fate of either biological species or ideas. We argue that, depending on the culture in which they exist, one can identify which model is more likely to reflect the survival of two competing ideas. Based on this argument we suggest how two strategies for embedding and normalizing quantitative literacy in a given ...


History Of Numeracy Education And Training For Print Journalists In England, Steven Harrison Jul 2014

History Of Numeracy Education And Training For Print Journalists In England, Steven Harrison

Numeracy

If the history of journalism education has been a footnote to accounts of the profession’s development, then the history of numeracy training for journalists must be considered a footnote to a footnote. Despite the universally acknowledged centrality of numbers to a clear understanding of the world, many journalism students and entrants are proudly number-phobic; it is even suggested that an aversion to maths is a key reason why some choose journalism as a career. This study traces the development of numeracy education for journalists in England. It is only with the incipient professionalisation of journalism from the mid-19th century ...


Reducing Mathematics Anxiety, Catherine Pearn Jul 2014

Reducing Mathematics Anxiety, Catherine Pearn

Teacher articles

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.


A Teacher's Guide To Pisa Mathematical Literacy, Sue Thomson, Kylie Hillman, Lisa De Bortoli May 2014

A Teacher's Guide To Pisa Mathematical Literacy, Sue Thomson, Kylie Hillman, Lisa De Bortoli

Lisa De Bortoli

This report focuses on mathematical literacy and is one of a series of three reports on Australian students' performance in PISA. The report provides an overview of the PISA mathematics framework and Australia's results in the PISA 2003 international assessment. Also included are mathematics items released for public viewing after the PISA 2003 assessment and examples of responses, marking guides and comparisons of results with other countries. The context behind achievement, e.g. attitudes, engagement and learning strategies, is also presented.


Does It All Add Up? What’S The Story With Mathematical Literacy And Numeracy? Where To Next?, Ross Turner, Dave Tout Apr 2014

Does It All Add Up? What’S The Story With Mathematical Literacy And Numeracy? Where To Next?, Ross Turner, Dave Tout

David (Dave) Tout

This presentation focuses on the mathematical components of the results from PISA and PIAAC. Do the two assessments of mathematical skills assess similar or related skills or are they assessing different skills and abilities? What do the two surveys show regarding the mathematical abilities of young people and adults across Australia?  What can young people and adults do in maths? What can’t they do? What insights do PISA and PIAAC provide about the teaching and learning of mathematics? What are the implications for both policy and practice in schools and vocational, adult and workplace education? What are the challenges ...


Does It All Add Up? What’S The Story With Mathematical Literacy And Numeracy? Where To Next?, Ross Turner, Dave Tout Apr 2014

Does It All Add Up? What’S The Story With Mathematical Literacy And Numeracy? Where To Next?, Ross Turner, Dave Tout

Ross Turner

This presentation focuses on the mathematical components of the results from PISA and PIAAC. Do the two assessments of mathematical skills assess similar or related skills or are they assessing different skills and abilities? What do the two surveys show regarding the mathematical abilities of young people and adults across Australia?  What can young people and adults do in maths? What can’t they do? What insights do PISA and PIAAC provide about the teaching and learning of mathematics? What are the implications for both policy and practice in schools and vocational, adult and workplace education? What are the challenges ...


Parts Of The Whole: Only Connect, Dorothy Wallace Jan 2014

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.


Learning And Fearing Mathematics, Sarah Buckley, Kate Reid Oct 2013

Learning And Fearing Mathematics, Sarah Buckley, Kate Reid

Dr Sarah Buckley

Findings from psychology and neuroscience can help educators to better understand the processes underlying children’s learning of, and feelings towards, mathematics. Sarah Buckley and Kate Reid explain.


Influences On Children’S Numeracy Skills, John Ainley Oct 2013

Influences On Children’S Numeracy Skills, John Ainley

Dr John Ainley

John Ainley reports on an analysis of the impact of background characteristics on young children's numeracy skills.


A Teacher's Guide To Pisa Mathematical Literacy, Sue Thomson, Kylie Hillman, Lisa De Bortoli Sep 2013

A Teacher's Guide To Pisa Mathematical Literacy, Sue Thomson, Kylie Hillman, Lisa De Bortoli

Kylie Hillman

This report focuses on mathematical literacy and is one of a series of three reports on Australian students' performance in PISA. The report provides an overview of the PISA mathematics framework and Australia's results in the PISA 2003 international assessment. Also included are mathematics items released for public viewing after the PISA 2003 assessment and examples of responses, marking guides and comparisons of results with other countries. The context behind achievement, e.g. attitudes, engagement and learning strategies, is also presented.


A Teacher's Guide To Pisa Mathematical Literacy, Sue Thomson, Kylie Hillman, Lisa De Bortoli Aug 2013

A Teacher's Guide To Pisa Mathematical Literacy, Sue Thomson, Kylie Hillman, Lisa De Bortoli

OECD Programme for International Student Assessment (PISA Australia)

This report focuses on mathematical literacy and is one of a series of three reports on Australian students' performance in PISA. The report provides an overview of the PISA mathematics framework and Australia's results in the PISA 2003 international assessment. Also included are mathematics items released for public viewing after the PISA 2003 assessment and examples of responses, marking guides and comparisons of results with other countries. The context behind achievement, e.g. attitudes, engagement and learning strategies, is also presented.


Parts Of The Whole: The Educational Sieve, Dorothy Wallace Jul 2013

Parts Of The Whole: The Educational Sieve, Dorothy Wallace

Numeracy

This essay argues that the structure of course prerequisites affects retention of students in a course of study. The same argument suggests that the structure of degree requirements, including quantitative reasoning courses, affects retention in college. In particular, the same set of courses required in a rigid sequence will cause more students to exit the program early than if the same courses were offered in a flexible order.


Designing Rich Numeracy Tasks, Merrilyn Goos, Vincent Geiger, Shelley Dole Jan 2013

Designing Rich Numeracy Tasks, Merrilyn Goos, Vincent Geiger, Shelley Dole

Faculty of Education and Arts Publications

In Australia, numeracy is regarded as a general capability to be developed across the whole school curriculum, not just mathematics. This paper draws on a research study that aimed to help teachers in ten schools design numeracy tasks and implement investigative numeracy pedagogies across the middle school (Grades 6-9) curriculum. Teachers were introduced to a rich model of numeracy that gives attention to real-life contexts, application of mathematical knowledge, use of representational, physical, and digital tools, and positive dispositions towards mathematics. These elements are grounded in a critical orientation to the use of mathematics. The paper identifies ways in which ...


An Investigation Of Palindromes And Their Place In Mathematics, Ryan Andrew Nivens Jan 2013

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

ETSU Faculty Works

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.


Parts Of The Whole: The Virtue Of Books, Dorothy Wallace Jul 2012

Parts Of The Whole: The Virtue Of Books, Dorothy Wallace

Numeracy

This column argues that the majority of commercial textbooks do not serve students well. Strategies for change include clearly distinguishing the textbook requirements of different priority subjects and assembling writers who can address, in addition to content development, the cognitive level of the children as well as writing in an age-appropriate way. A discussion of the forces that produce current texts leads to the recommendation that textbooks be a focus of research and improvement rather than the byproduct of an individual’s lecture notes.


Exploring Mathematical Competencies, Ross Turner Jan 2012

Exploring Mathematical Competencies, Ross Turner

Ross Turner

The author describes a set of competencies that are fundamental to the development of ‘mathematical literacy’, or a person’s ability to apply their mathematical knowledge to practical situations.


Quantitative Literacy Interventions At University Of Cape Town: Effects Of Separation From Academic Disciplines, Vera Frith Jan 2012

Quantitative Literacy Interventions At University Of Cape Town: Effects Of Separation From Academic Disciplines, Vera Frith

Numeracy

The aim of the Numeracy Centre at the University of Cape Town is to develop students’ quantitative literacy (QL) in a manner consistent with their programmes of study and intended roles in the community. Our theoretical perspective on the nature of QL is in line with that of the New Literacies Studies and sees academic QL as practices in different academic disciplinary contexts. This means that for us the ideal curriculum structure for developing QL would fully integrate it into the teaching of the disciplines. This is in practice not achievable in most cases, especially since many students do not ...


Numeracy, Financial Literacy, And Financial Decision-Making, Annamaria Lusardi Jan 2012

Numeracy, Financial Literacy, And Financial Decision-Making, Annamaria Lusardi

Numeracy

Financial decisions, be they related to asset building or debt management, require the capacity to do calculations, including some complex ones. But how numerate are individuals, in particular when it comes to calculations related to financial decisions? Studies and surveys implemented in both the United States and in other countries that are described in this paper show the level of numeracy among the population to be very low. Moreover, lack of numeracy is not only widespread but is particularly severe among some demographic groups, such as women, the elderly, and those with low educational attainment. This has potential consequences for ...


Disenfractioned: How A Blind Spot For Fractions May Be A Hindrance To Democracy, Matthew Salomone Dec 2011

Disenfractioned: How A Blind Spot For Fractions May Be A Hindrance To Democracy, Matthew Salomone

Bridgewater Review

No abstract provided.


Teaching Mathematics: Using Research-Informed Strategies, Peter Sullivan Aug 2011

Teaching Mathematics: Using Research-Informed Strategies, Peter Sullivan

Australian Education Review

AER 59 reviews research into aspects of mathematics teaching, focusing on issues relevant to Australian mathematics teachers, to those who support them, and also to those who make policy decisions about mathematics teaching. It was motivated by and draws on the proceedings of the well-attended and highly successful ACER Research Conference Teaching mathematics? Make it count: What research tells us about effective mathematics teaching and learning, held in Melbourne in August 2010.

Section 2 describes the goals of teaching mathematics and argues that a practical orientation should be the focus of mathematics teaching in the compulsory years, and outlines the ...


Quantitative Literacy At Michigan State University, 2: Connection To Financial Literacy, Dennis Gilliland, Vince Melfi, Alla Sikorskii, Edward Corcoran, Eleanor Melfi Jul 2011

Quantitative Literacy At Michigan State University, 2: Connection To Financial Literacy, Dennis Gilliland, Vince Melfi, Alla Sikorskii, Edward Corcoran, Eleanor Melfi

Numeracy

The lack of capability of making financial decisions has been recently described for the adult United States population. A concerted effort to increase awareness of this crisis, to improve education in quantitative and financial literacy, and to simplify financial decision-making processes is critical to the solution. This paper describes a study that was undertaken to explore the relationship between quantitative literacy and financial literacy for entering college freshmen. In summer 2010, incoming freshmen to Michigan State University were assessed. Well-tested financial literacy items and validated quantitative literacy assessment instruments were administered to 531 subjects. Logistic regression models were used to ...


Quantitative Literacy At Michigan State University, 1: Development And Initial Evaluation Of The Assessment, Alla Sikorskii, Vince Melfi, Dennis Gilliland, Jennifer Kaplan, Suzie Ahn Jul 2011

Quantitative Literacy At Michigan State University, 1: Development And Initial Evaluation Of The Assessment, Alla Sikorskii, Vince Melfi, Dennis Gilliland, Jennifer Kaplan, Suzie Ahn

Numeracy

Development, psychometric testing, and the results of the administration of a quantitative literacy (QL) assessment to undergraduate students are described. Three forms were developed covering a wide range of skills, contexts, and quantitative information presentation formats. Following item generation and revision based on preliminary testing and cognitive interviewing, a total of 3,701 consented undergraduate students at Michigan State University completed one of the three forms. Two of the forms contained 14 multiple-choice items, and one form contained 17 multiple-choice items. All forms were completed by students in less than 30 minutes. Evidence of validity and reliability were obtained for ...


Calculus, Biology And Medicine: A Case Study In Quantitative Literacy For Science Students, Kim Rheinlander, Dorothy Wallace Jan 2011

Calculus, Biology And Medicine: A Case Study In Quantitative Literacy For Science Students, Kim Rheinlander, Dorothy Wallace

Numeracy

This paper describes a course designed to enhance the numeracy of biology and pre-medical students. The course introduces students with the background of one semester of calculus to systems of nonlinear ordinary differential equations as they appear in the mathematical biology literature. Evaluation of the course showed increased enjoyment and confidence in doing mathematics, and an increased appreciation of the utility of mathematics to science. Students who complete this course are better able to read the research literature in mathematical biology and carry out research problems of their own.