Science and Mathematics Education Commons^™

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 …

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 …

The Ultimatum Game: An Introduction To Quantitative Literacy In A Social Justice Context, Robert G. Root

Numeracy

The Ultimatum Game is a two-person, multiple-strategy game widely used in the experimental social sciences to demonstrate the human propensity for costly punishment in response to inequitable treatment. The game serves to provide quantitative evidence for a diversity of fairness norms across cultures. The play of the game and its interpretation offer nuanced views of the nature and importance of quantitative literacy. Its use in a writing seminar connecting quantitative literacy and social justice is described.

Embedded Remediation Is Not Necessarily A Pathway For Equitable Access To Quantitative Literacy And College Algebra: Results From A Pilot Study, Rebecca L. Matz, Samuel L. Tunstall

Numeracy

Courses in developmental and introductory mathematics are changing. Because nearly all students need mathematics coursework to graduate from a postsecondary institution, yet institutions consistently struggle to ensure that students of all demographics succeed in credit-bearing mathematics courses, student success in such courses may be viewed as an issue of social justice. In particular, there is a need for institutions to provide pathways through college-level mathematics courses that meet the needs of students with a wide array of incoming mathematical knowledge and skills. In light of questions about pedagogy, pass rates, and effects on degree completion time, some institutions have moved …

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 …

A Systematic Review Of Studies On Educational Robotics, Saira Anwar, Nicholas Alexander Bascou, Muhsin Menekse, Asefeh Kardgar

Journal of Pre-College Engineering Education Research (J-PEER)

There has been a steady increase in the number of studies investigating educational robotics and its impact on academic and social skills of young learners. Educational robots are used both in and out of school environments to enhance K–12 students’ interest, engagement, and academic achievement in various fields of STEM education. Some prior studies show evidence for the general benefits of educational robotics as being effective in providing impactful learning experiences. However, there appears to be a need to determine the specific benefits which have been achieved through robotics implementation in K–12 formal and informal learning settings. In this study, …

Testing The Psychometric Properties Of The Modeling Self-Efficacy Scale, Anu Sharma, Stephen J. Pape, Jonathan Templin

Journal of Educational Research and Practice

The Modeling Self-Efficacy Scale was developed to measure middle and high school students’ confidence in understanding and solving modeling tasks. The scale was administered to 225 eighth- and ninth-grade students. Participants read modeling tasks adapted from Programme for International Student Assessment’s 2003 problem-solving assessment and rated their confidence on a 100-point self-efficacy scale. Confirmatory factor analysis indicated that modeling self-efficacy is a unidimensional construct, best elicited by a repeated-measures-style survey design in which participants responded to the same self-efficacy items across multiple modeling problems. The omega reliability coefficient for the scale was .88. The findings suggest that the Modeling Self-Efficacy …

Using Forensics To Introduce Ir Spectroscopy & Molecular Modeling, Joseph T. Golab

Faculty Publications & Research

A student activity is reported that analyzes “medical evidence” with experimental and computational methods. The lesson demonstrates benefits of solving practical problems with integrated tools.

Solving Equations And Completing The Square: From The Roots Of Algebra, Danny Otero

Pre-calculus and Trigonometry

No abstract provided.

Regression To The Mean, Dominic Klyve

Statistics and Probability

No abstract provided.

Meeting The Vision Of The Ngss: Critical Factors Of Effective Science Teaching (Poster), Elizabeth B. Lewis, Lyrica L. Lucas, Amy Tankersley, Elizabeth Hasseler, Brandon Helding

Department of Teaching, Learning, and Teacher Education: Presentations

With new national science education standards, we must understand how to prepare science teachers capable of advancing reform initiatives. In a 3-year longitudinal study we adopted a multi-method approach to investigate beginning science teachers’ instructional practices. We analyzed transcripts, observed science lessons, and documented weeks of lessons. Using this large dataset we posed research questions about the use of NGSS scientific practices in teachers’ science lessons (Project #1) and classroom diversity as it relates to teachers’ use of inquiry (Project #2). In order to expand our coding capability of science teaching data for use in our structural equation modelling efforts …

Computational Thinking Framework, Julian Fraillon, John Ainley, Wolfram Schulz, Daniel Duckworth, Tim Friedman

ICT - Digital Literacy

This computational thinking framework was developed to inform the 2018 International Computer and Information Literacy Study which included computational thinking as an international option. This chapter reviews definitions of computational thinking, the structure of the ICILS 2018 computational thinking construct and the framework including two strands of Conceptualizing problems, and Operationalizing solutions. Aspects of the framework are: knowing about and understanding digital systems; formulating and analyzing problems; collecting and representing relevant data; planning and evaluating solutions; and developing algorithms, programs and interfaces.

Stem Stories, July 2019, Brooke Wiese

STEM Stories

Program Spotlight - Aldo Leopold Distinguished Lecture Series

Nuclear Engineering At The Air Force Institute Of Technology: A Unique Graduate School Experience For A Unique Set Of Students, Michael B. Shattan

Faculty Publications

In August 2018, the Air University Commander formed a task force to review the Air Force’s Science, Technology, Engineering, and Mathematics (STEM) graduate education programs that are delivered and administered through the Air Force Institute of Technology (AFIT). The study was rooted in strategies to support the 2018 National Defense Strategy, and provided the necessary technologically equipped personnel for the 21st century. The study was commonly referred to as “reimagining AFIT”. Several themes emerged from the study, which include reaching a broader community of Airmen through alternate educational modes (e.g. distance learning, short course etc.), forming strategic educational and research …

Study Of Healthcare-Associated Infections And Multi-Drug Resistance In Brooklyn: An Integrative Approach, Liana Tsenova, Urmi Ghosh-Dastidar, Arnavaz Taraporevala, Pamela Brown, Aionga Pereira-Edwards

Publications and Research

One SENCER ideal is to connect science education and civic engagement by student learning through complex, unresolved public issues. Using this approach, we established a collaborative interdisciplinary project involving faculty and undergraduate students at NYC College of Technology. Over several semesters, students conducted literature search and discovered the complex factors contributing to the occurrence and transmission of healthcare-associated infections (HAIs). Using microbiology data from 15 hospitals in Brooklyn, NY, they applied statistical analyses, studied the antibiotic resistance, and developed a campaign to bring more awareness of this problem. The results of the project highlight the importance of immediate action in …

Comparing Nebraskan And Finnish Education Policy And Its Impacts On Mathematics Teaching, Elizabeth Tyler

Honors Program: Senior Projects (Public)

For two decades, Finland has been in the education spotlight as they consistently receive high international exam scores while spending less money, less time teaching, and putting students through fewer hours of school. This study aims to investigate the related policy that may help explain these seemingly paradoxical findings in the education sector. More specifically, this study examines how related policy impacts math teachers in their day to day work. This research includes an extensive literature review that explores several facets of the education system in both Nebraska and Finland in order to better understand existing policies. This background is …

Eece 351 Teaching Science In The Elementary School, Line A. Saint-Hilaire

Open Educational Resources

No abstract provided.