Science and Mathematics Education Commons^™

The Signaling Problem: Using Exploding Dots To Solve An Accessible Mystery In An Elementary-Aged Math Circle, Rodi Steinig

Journal of Math Circles

Many people want to facilitate Math Circles for younger students but don’t know how. This article provides a model for how to create an engaging Math Circle for students aged 8-10 to explore different number bases and gives a detailed narrative to guide prospective instructors through the class. The narrative follows a group of eight students spending six weeks joyfully discovering underlying mathematical structure without being told what to do.

Exploding Dots At The Msu-Billings Math Circle, Tien Chih

Journal of Math Circles

Global Math Week is an annual event started by Dr. James Tanton and the Global Math Project, connecting students around the world with the mathematics of Exploding Dots. Exploding Dots is a reconceptualization of the mechanics of arithmetic, which allows for a visually intuitive and accessible representation of a variety of mathematical topics ranging from different base representations to the arithmetic of polynomials and series. In this manuscript, we describe the first implementation of Exploding Dots at the MSU-Billings Math Circle. The actual itemized agenda of the session is described, followed by highlights of the session and observations by the …

Commentary From The Field: Elimu Haina Mwisho “Education Has No Limits”, Erick Mathew

Journal of Math Circles

Commentary From the Field: ELIMU HAINA MWISHO “Education has no Limits”

A Message From The Global Math Project Team, James Tanton

Journal of Math Circles

A Message From the Global Math Project Team

Editorial Introduction To The Journal Of Math Circles, Emilie Hancock, Brandy Wiegers

Journal of Math Circles

Editorial Introduction to the Journal of Math Circles.

Mathematics Out Of Nothing: Talking About Powerful Mathematical Ideas With Children, Matthew Oldridge

Journal of Humanistic Mathematics

Parents and educators have powerful opportunities to introduce children to big mathematical ideas, when those ideas become necessary. Children are capable and curious. They don’t need to be sheltered from big mathematical ideas. Bring out mathematical ideas when kids are ready, or when they are needed. This article describes one such instance, when I helped my six-year-old son move beyond zero in the negative direction when subtracting.

Mathematics Students As Artists: Broadening The Mathematics Curriculum, Marshall Gordon

Journal of Humanistic Mathematics

Mathematics has often been referred to as an art. For some it is “the purest of the arts”, where the mathematicians’ art is “asking simple and elegant questions about our imaginary creations, and crafting satisfying and beautiful explanations”. Yet with classroom time given primarily to “covering the curriculum”, testing, and practicing problem-solving procedures, students’ opportunities to appreciate the aesthetic dimension of mathematics are often limited. To promote a responsive environment in an effort to enable students to become artists of their own mathematics experience, I consider in this paper two facets of the mathematics classroom. Content-wise I make the argument …

Telling Women's Stories: A Resource For College Mathematics Instructors, Sarah Mayes-Tang

Journal of Humanistic Mathematics

Stereotypes about mathematicians that conflict with ``traditionally feminine" identities are widely held by people from middle-school-age onwards, and can influence their participation in mathematics and related fields. Simply being exposed to women in mathematics is not enough to change students' perceptions of mathematicians, and may even decrease girls' interest in mathematics. This paper proposes a storytelling strategy to help change students' perceptions of mathematicians. It includes several activities for intentionally incorporating women's stories into the post-secondary classroom and a list of resources for finding existing powerful stories. The diverse stories of women mathematicians, including details of their personal lives and …

Students With Visual Impairments' Access And Participation In The Science Curriculum: Views Of Teachers Of Students With Visual Impairments, Karen E. Koehler, Tiffany A. Wild

Journal of Science Education for Students with Disabilities

Science is a core curricular area of instruction for all students and the federal mandates of the Individuals with Disabilities Education Act (2004) and No Child Left Behind (2001) require that students with disabilities are educated in the least restrictive environment and have access to general education science content, based upon rigorous standards. While, most students with visual impairments are educated in the general science classroom, few studies have been done to determine whether appropriate accommodations and modifications are being made in those classrooms to meet the specialized needs of these students. A 35 question survey instrument was disseminated to …

Using A Noticing Framework In A Mathematics Methods Course, Diana Moss, Lisa Poling

Journal on Empowering Teaching Excellence

A noticing framework was introduced to prospective teachers (PTs) as a tool to use for analyzing student work. The purpose of this study was to determine the impact of PTs’ use of a noticing framework for: 1) interpreting students’ mathematical thinking; and 2) reflecting on and discussing future implications for teaching. The study also sought to determine where PTs needed, if any, further support in engaging in the process of noticing. Using a coding schema that reflected three levels of understanding (periphery, transitional, and accomplished), a frequency table was constructed that allowed PTs’ use and understanding of a noticing framework …

Smoller And King: California Should Have Its Own Solar Decathlon, Fred Smoller, Richard King

Political Science Faculty Articles and Research

"While the Federal Government has pulled back on the reins, California is vigorously going green. California’s legislature has passed ambitious climate change legislation while governors of both parties have made tackling climate change a priority. Last month, the City of Los Angeles released its own ambitious Green New Deal.

To increase its impact, the California competition could be expanded to include a sustainability exposition which would include professional development and consumer workshops, as well as K-12 education events. Sustainability vendors would display and explain their products, services and new technologies. As many as 100,000 visitors per day could visit the …

Improvirg Mathematical Ability In The United States, Emma Winegar

Augsburg Honors Review

The United States has a deficit in the abilities of its citizens to comprehend mathematics, as compared with similar countries. Many people experience math anxiety, and in turn hate mathematics and shy away from it at all costs. Problems with the current curriculum and teaching styles in schools limit students from being successful in mathematics. Improving mathematical ability will not only lessen anxiety, but will improve society as a whole. Mathematics is crucial to survival in modern day society. It is important that the issue of the overall low level of mathematical proficiency in the U.S. be solved. This paper …

Securing The Human: Broadening Diversity In Cybersecurity, Mohammad Azhar, Sajal Bhatia, Greg Gagne, Chadi Kari, Joseph Maguire, Xenia Montrouidou, Liviana Tudor, David Vosen, Timothy T. Yuen

School of Computer Science & Engineering Faculty Publications

Recent global demand for cybersecurity professionals is promising, with the U.S. job growth rate at 28%, three times the national average [1]. Lacking qualified applicants, many organizations struggle to fill open positions [2]. In a global survey, 2,300 security managers reported that 59% of their security positions were unfilled, although 82% anticipated cyberattacks to their systems [3]. At the same time, the cybersecurity field is broadening, not only in technical concepts but also in human factors, business processes, and international law. The field has not become culturally diversified, however. Professionals hired in 2018 included only 24.9% women, 12.3% African Americans, …

Use Of Pope Engagement Index To Measure Cognitive Load Of Physical Modeling Activities In Organic Chemistry, Jenifer Calvert

Master of Science in Chemical Sciences Theses

Understanding how students learn and process information is critical to developing physical modeling activities that facilitate student learning by decreasing cognitive load in the working memory. Optimizing cognitive load during physical modeling activities in organic chemistry is the key to effective and efficient learning. Using EEG (electroencephalogram) and eye tracking technologies, researchers measured and recorded the cognitive processing of participants while they completed a chiral physical modeling activity. Analysis of the data using the Engagement Index developed by Pope et al provided information necessary to develop curriculum that does not undermine student learning due to excessive cognitive load.

Mathematics Experiences Of Students Who Are Blind Or Visually Impaired, Michaela Patricia Stone

LSU Doctoral Dissertations

Historically, researchers studying mathematics education for students with visual impairment (SVI) have faced several challenges. Quantitative researchers are limited by small sample sizes and the need to adapt traditional research instruments for accessibility by SVI. Qualitative research, most often conducted by sighted researchers and relying on the perspectives of sighted educators, suffers from the absence of the voices of the SVI being studied. Overwhelmingly, research on the mathematics education of SVI is explicitly grounded in deficit models of disability, falsely conflating the physical condition of impairment with the social act of disablement. Only in the past decade have critical disability …

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 …