Science and Mathematics Education Commons^™

Numeracy Tasks: Inspiring Transfer Between Concrete And Abstract Thinking Spaces, Taras Gula, Miroslav Lovric

Numeracy

In our paper we build a case for conceptualizing numeracy tasks as distinct from mathematical tasks (or at least as a special type of mathematical task), and for abstraction and interpretation as a set of key activities necessary for designating a numeracy task as being high-quality. We start with an attempt to tame the fuzziness of numeracy and its family members (including quantitative reasoning, quantitative literacy, mathematical literacy, and the word problem cousins) by outlining six areas of consensus gleaned from literature. These provide the foundation for a core mandate of numeracy. We then build our case for the distinctness …

Instructional Decision Making In A Gateway Quantitative Reasoning Course, Deependra Budhathoki, Gregory D. Foley, Stephen Shadik

Numeracy

Many educators and professional organizations recommend Quantitative Reasoning as the best entry-level postsecondary mathematics course for non-STEM majors. However, novice and veteran instructors who have no prior experience in teaching a QR course often express their ignorance of the content to choose for this course, the instruction to offer students, and the assessments to measure student learning. We conducted a case study to investigate the initial implementation of an entry-level university quantitative reasoning course during fall semester, 2018. The participants were the course instructor and students. We examined the instructor’s motives and actions and the students’ responses to the course. …

An Introduction To The Algebra Revolution, Art Bardige

Numeracy

Bardige, Art. 2022. The Algebra Revolution: How Spreadsheets Eliminate Algebra 1 to Transform Education; (Bookbaby) 135 pp. UNSPSC 55111505.

The Algebra Revolution: How Spreadsheets Eliminate Algebra 1 to Transform Education argues that Algebra 1 can be eliminated by teaching mathematics through spreadsheets. Such a change would eliminate the greatest roadblock to student achievement.

A Tale Of Success: Embedding Remediation And Curricular Design, Joseph P. Mccollum, William Adamczak, James R. Nolan

Numeracy

This paper reports how high failure rates in the first quantitative course that college business majors take were significantly reduced by implementing course-embedded remediation. More specifically, this paper details our process for identifying students at risk, placing them in special sections of the first quantitative course, and adding an additional hour of application of course concepts which resulted in a statistically significant increase in pass rates. The study focused on the learning environment, the attitude of the student, the utility of the material and the role of the professor for this special course. We feel this research is timely, as …

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.

National Numeracy Network Officers And Board Of Directors, Milo Schield

Numeracy

National Numeracy Network Officers and Board of Directors in the year 2020.

A Comparison Of Students’ Quantitative Reasoning Skills In Stem And Non-Stem Math Pathways, Emily Elrod, Joo Young Park

Numeracy

Quantitative Reasoning (QR) is essential for today’s students, yet most higher education institutions have not effectively addressed this issue. This study investigates students’ quantitative reasoning in STEM and Non-STEM math pathways using a non-proprietary, NSF grant-funded instrument, the Quantitative Literacy & Reasoning Assessment (QLRA). Participants were students enrolled in at least one college-level math pathway course at a large public institution in the southeastern US. The results showed a significant difference between STEM and Non-STEM students’ QLRA scores, with STEM students (n = 244, M = 27%, SD = 16.21%) scoring, on average, about 6% higher than Non-STEM students …

Development And Assessment Of A Continuing Education Unit In Quantitative Literacy For High School Stem Teachers, Craig P. Mcclure

Numeracy

Influencing the teaching of quantitative literacy at all levels of education can be difficult due to the many demands placed on educators. In a continuing education course, public high school science teachers participated in a pilot study of a program on quantitative literacy, involving defining quantitative literacy, how it is beneficial to students, examples of quantitative literacy education, and how it may be supported in the science classroom. Surveys administered before and after the unit indicate an improvement in the teachers’ understanding of quantitative literacy, and a follow-up survey indicates that the unit impacted classroom practice. Results support the conclusion …

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 …

Alignment Between Learning Objectives And Assessments In A Quantitative Literacy Course, Younggon Bae, Samuel L. Tunstall, Kathryn S. Knowles, Rebecca L. Matz

Numeracy

In this analysis, we examine how course assessment items were aligned with learning objectives in a quantitative literacy course at Michigan State University. The alignment analysis consisted of mapping assessment items to a list of operationalized learning objectives from the course. Our analysis shows how often the learning objectives are represented in assessment items, how often they are paired with other learning objectives, and how influential they are in contributing to a student’s course grade. In addition, through comparisons across four assessment types (e.g., exams and homework), we show how each learning objective was assessed differently within each assessment type. …

How Do We Change Statistical And Critical Thinking Attitudes In Young People?, Rhys C. Jones

Numeracy

A quasi-experimental design was used to measure the impacts on student attitudes in statistics, mathematics and critical thinking (16-18 years of age) on a group of students who received a 21-week-long contextualised statistics course (called the Pilot Scheme in Social Analytics), in South Wales. This paper will discuss the development and delivery stages of the course as well as the student recruitment strategies employed. This paper will also discuss the changes in attitudes observed after the course had finished. Results suggest the course did lead to changes in the students’ attitudes becoming more positive with respect to statistics, mathematics, and …

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.

Quantitative Literacy: Now More Than Ever, Gail O. Mellow

Numeracy

This editorial highlights the eloquent words of Drs. Bernard Madison and Lynn Arthur Steen who, in the inaugural issue of Numeracy, note that quantitative literacy (QL) provides “tools for survival” in a highly competitive world. I discuss how QL is desperately needed at a precarious time for our nation’s democracy and how at LaGuardia Community College, and community colleges across the nation, important and creative work is being undertaken to build students’ math skills. The pivotal role of faculty is discussed and a call is made for colleges to support faculty as they undertake the challenging work of building QL …

Numeracy Across The Curriculum In Australian Schools: Teacher Education Students’ And Practicing Teachers’ Views And Understandings Of Numeracy, Helen J. Forgasz, Gilah Leder, Jennifer Hall

Numeracy

In this article, we confront the challenges to teacher education students and practicing teachers raised by the concept of numeracy and its place in the curriculum. In the Australian Curriculum, there is an expectation that teachers at all grade levels and in all subject areas develop students' numeracy capabilities. At Monash University, a public, research-intensive university, the largest university in Australia, graduate level teacher education students are now required to complete a course entitled Numeracy for Learners and Teachers. We describe the content of this course and, from an online survey, report findings of the impact on students' understandings …

Quantitative Literacy For The Future Flourishing Of Our Students: A Guiding Aim For Mathematics Education, Samuel L. Tunstall

Numeracy

In this essay, I examine the extent to which mathematics education and education for quantitative literacy support students’ present and future flourishing, a concept that entails realizing objective goods in a life lived from the inside. This perspective requires disentangling philosophical assumptions about the aims of mathematics education, which—in the context of flourishing—I take to be a hybrid of those that have informed curricular discussions over the past two centuries. In the process, I problematize ("make strange") many of the common reasons given for students learning mathematics, including: learning it for one’s career, for one’s logical reasoning skills, or …

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. We …

Parts Of The Whole: Teaching Quantitative Reasoning In The Predator-Prey Model, Dorothy Wallace

Numeracy

The classical predator-prey equations are in nearly every differential equations text and mathematical biology text. Usually they are presented fait accompli, leaving the student to analyze them or play with a computer program. Here we show that the process of fully understanding where these equations come from and how they are derived provides numerous opportunities to teach or reinforce quantitative reasoning skills necessary to future scientists. This example is used to invoke logic, systems thinking, causal reasoning, understanding functions of one or more variables, quantities versus rates of change, proportional reasoning, unit analysis, and comparison to data.

Promoting Numeracy In An Online College Algebra Course Through Projects And Discussions, Samuel L. Tunstall, Michael J. Bossé

Numeracy

This research stems from efforts to infuse quantitative literacy (QL) in an online version of college algebra. College algebra fulfills a QL requirement at many universities, and it is a terminal course for most who take it. In light of the course’s traditional content and teaching methods, students often leave with little gained in QL. An online platform provides a unique means of engaging students in quantitative discussions and research, yet little research exists on online courses in the context of QL. The course studied included weekly news discussions as well as “messy” projects requiring data analysis. Students in online …

Faculty Viewpoints On Teaching Quantway®, Heather Howington, Thomas Hartfield, Cinnamon Hillyard

Numeracy

Quantway is a quantitative reasoning-based pathway for developmental math that has been developed as an alternative to the traditional remedial algebra sequence. To explore the experiences of faculty involved with Quantway, we interviewed eight individuals who have taught the course in the past year to survey their attitudes and opinions about students in their classes, the materials and pedagogies in use, and the collegial interaction of networked faculty. Faculty were selected with the intention of gathering a broad set of opinions resulting from differences of location, experience, and other factors. In this paper, we summarize those interviews by identifying common …

Quantitative Literacy And Co-Construction In A High School Math Course, Mark Russo

Numeracy

This article reports some of the key findings from a practitioner-action research study that analyzed the impact of co-construction on students’ quantitative literacy (QL) and attitudes towards mathematics. Co-construction is a process where students work alongside their teachers to plan units, lessons, and assessments, and this approach was chosen because of its potential to help students advocate for the specific mathematical contexts that would best develop their QL. This yearlong study took place in a public high school, with forty-five students in two different classes participating. Students formally contributed to the development of the course by completing written questionnaires and …

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 that …

Parts Of The Whole: When Variation Is The Goal, Dorothy Wallace

Numeracy

The goals of higher education are a population of extreme variability in expertise, a diffusion of specialized knowledge across disciplinary boundaries, and production of strong K-12 teachers. Promoting these three goals has implications at all granularities, from the pedagogy of an individual college professor to the incentives and policies that shape systemic change.