Science and Mathematics Education Commons^™

The Importance Of Surprise In Mathematical Beauty, V. Rani Satyam

Journal of Humanistic Mathematics

Mathematicians, mathematics education researchers, and philosophers have written about mathematical beauty and many of the qualities commonly associated with it, such as simplicity, brevity, enlightenment, etc. One key theme that underlies many of these qualities is surprise or the unexpected. In this article, I discuss the integral role surprise plays in mathematical beauty. Through examples, I argue that simplicity alone is oftentimes not enough for a piece of mathematics to be considered beautiful, but rather it is unexpected simplicity that we seek. I propose, moreover, that surprise is necessary for enlightenment. The paper also reports results from an activity designed …

The Role Of Sequence In The Experience Of Mathematical Beauty, Leslie Dietiker

Journal of Humanistic Mathematics

In this article, I analyze the aesthetic dimensions of a sequence of mathematical events found in an unusual first grade lesson in order to demonstrate how sequencing may affect an individual’s experience of mathematical beauty. By approaching aesthetic as a sense or felt quality of an experience in context (Sinclair, 2001, 2011), this analysis explains how sequence can affect the way mathematical objects or actions are experienced by an individual. Thus, rather than questioning whether or in what ways a set of mathematical objects are beautiful or not, this paper addresses under what conditions is the mathematics in play beautiful. …

Surprise And The Aesthetic Experience Of University Students: A Design Experiment, Ofer Marmur, Boris Koichu

Journal of Humanistic Mathematics

Little is known about instructional means by which the aesthetic experience of mathematics can be enhanced for undergraduate learners. This paper presents and discusses an iterative lesson design process towards creating an opportunity for students to appreciate the beauty of an unexpected solution to a challenging calculus problem. The lesson design draws on insights from both mathematics education research on aesthetics and research on aesthetic appreciation in music. The data were collected over the course of five lessons with different groups of calculus students in which the intended problem was presented in two different ways. In addition, stimulated-recall interviews were …

The Stem Pipeline: Recruiting And Retaining African American Female Engineers, Delores Rice

Journal of Research Initiatives

The purpose of the study was to examine the career experiences of African American female engineers and explore their challenges and support systems during their career development. This qualitative study utilized a life history approach and was designed using basic interpretive inquiry. There were nine African American female participants in the study who currently worked in an engineering field within an engineering industry. Using an ecological model to ground the study, the findings were categorized as macrosystem (environment) or microsystem (individual) factors. The highlight of this manuscript includes a focus on implications, which offer insight into recruiting and retaining African …

Reversing The Tide In Science, Engineering, Technology And Mathematics (Stem): Academically Gifted African American Students In Historically Black Colleges & Universities, Delores Rice, Fred Bonner, Chance Lewis, Mary Alfred, Felecia M. Nave, Sherri Frizell

Journal of Research Initiatives

What started off as a national concern has escalated to the point of crisis (Bonner, Alfred, Lewis, Nave & Frizell, 2009; Chubin & Malcolm, 2008; Hrabowski, Summers & Hrabowski, 2006). The current state of affairs regarding African American participation in STEM disciplines has become one of the thorniest issues of contemporary focus. This article highlights data collected for a NSF Education Research grant. The focus of this HBCU-UP project was to uncover factors contributing to the success of academically gifted (high-achieving) African American students enrolled in engineering programs at the 12 ABET accredited four-year institutions in the U.S. Specifically, this …

Journal Rankings And Representation In Mathematics Education, Samuel Otten, Ryan Andrew Nivens

ETSU Faculty Works

Excerpt: Publish or perish has long been the mantra academics live by. For decades, this referred to a list of publications on a researcher’s Curriculum Vitae.

Fostering An Inclusive Stem Workforce, Cary A. Supalo Dr.

Journal of Science Education for Students with Disabilities

The following keynote address was delivered by Dr. Cary A. Supalo at the 2015 Training Workforce and Development and diversity conference which is one of the divisions that is part of NIH’s general medical sciences. This conference was attended by over 500 program directors from all of the T32 sponsored projects in 2015. This presentation discussed the importance of a full inclusive STEM workforce that includes persons with disabilities

Stem Stories, January 2016, #3, Daniel Vorwerk

STEM Stories

Program Spotlight - Panther Plot

Stem Stories, January 2016, #2, Mir Ashfaquzzaman

STEM Stories

Alumni Profile - Paul Rael

Keeley Probes As A Tool For Uncovering Student Ideas: How Do Teachers Use Formative Assessment Probes To Plan And Adapt Instruction?, Kalin Tobler

Dissertations and Theses

Formative assessment probes, known as Keeley probes, are one tool teachers use to reveal students' scientific misconceptions, so that they can move them closer to conceptual understanding. The purpose of this research was to document how four elementary school teachers used formative assessment probes to plan and adapt instruction to improve student learning. Specifically:

• How did teachers choose appropriate probes? What learning goals did teachers hope to address by using the probe??
• What instructional sequences did teachers envision when planning to use a probe?
• What did teachers notice when analyzing student data from a probe?
• How did teachers use the …

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.

Open Access!: Review Of Online Statistics: An Interactive Multimedia Course Of Study By David Lane, Samuel L. Tunstall

Numeracy

David M. Lane (project leader). Online Statistics Education: An Interactive Multimedia Course of Study (http://onlinestatbook.com/)
Also: David M. Lane (primary author and editor), with David Scott, Mikki Hebl, Rudy Guerra, Dan Osherson, and Heidi Zimmer. Introduction to Statistics. Online edition (http://onlinestatbook.com/Online_Statistics_Education.pdf), 694 pp.

It is rare that students receive high-quality textbooks for free, but David Lane's Online Statistics: An Interactive Multimedia Course of Study permits precisely that. This review gives an overview of the many features in Lane's online textbook, including the Java Applets, the textbook itself, and the resources available for instructors. A discussion …

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 …

6.0.B Discussion Historical Idea Of Heat As Substance, Christopher F. Bauer

Day 06 Feb 10 Gas properties and laws. Historical ideas about heat.

WELCOME to WINDOWS on the INQUIRY CLASSROOM!

You have landed on a piece of a National Science Foundation Project (DUE 1245730) directed by Professor Chris Bauer, Chemistry Department, University of New Hampshire. This is one part of a completely documented inquiry-based university science course called “Fire & Ice” which explores the nature of heat and temperature. There are multiple video perspectives and commentary from instructors and students, and documents of all course materials (agenda, instructions, student work). It’s too complicated to explain here. Take a look at the user orientation document at this link.

6.0.C.1 Hands-On Phase Properties Of Gases, Christopher F. Bauer

Day 06 Feb 10 Gas properties and laws. Historical ideas about heat.

WELCOME to WINDOWS on the INQUIRY CLASSROOM!

You have landed on a piece of a National Science Foundation Project (DUE 1245730) directed by Professor Chris Bauer, Chemistry Department, University of New Hampshire. This is one part of a completely documented inquiry-based university science course called “Fire & Ice” which explores the nature of heat and temperature. There are multiple video perspectives and commentary from instructors and students, and documents of all course materials (agenda, instructions, student work). It’s too complicated to explain here. Take a look at the user orientation document at this link.

6.0.A Daily Outline, Christopher F. Bauer

Day 06 Feb 10 Gas properties and laws. Historical ideas about heat.

WELCOME to WINDOWS on the INQUIRY CLASSROOM!

You have landed on a piece of a National Science Foundation Project (DUE 1245730) directed by Professor Chris Bauer, Chemistry Department, University of New Hampshire. This is one part of a completely documented inquiry-based university science course called “Fire & Ice” which explores the nature of heat and temperature. There are multiple video perspectives and commentary from instructors and students, and documents of all course materials (agenda, instructions, student work). It’s too complicated to explain here. Take a look at the user orientation document at this link.

6.0.C.2 Hands-On Phet Phase Properties, Christopher F. Bauer

Day 06 Feb 10 Gas properties and laws. Historical ideas about heat.

WELCOME to WINDOWS on the INQUIRY CLASSROOM!

You have landed on a piece of a National Science Foundation Project (DUE 1245730) directed by Professor Chris Bauer, Chemistry Department, University of New Hampshire. This is one part of a completely documented inquiry-based university science course called “Fire & Ice” which explores the nature of heat and temperature. There are multiple video perspectives and commentary from instructors and students, and documents of all course materials (agenda, instructions, student work). It’s too complicated to explain here. Take a look at the user orientation document at this link.

The Authentic Voice Of Gifted And Talented Black Males Regarding Their Motivation To Engage In Stem (Science, Technology, Engineering And Mathematics), Adrienne Coleman

Publications & Research

This study explored the factors motivating gifted and talented Black males to engage in science, technology, engineering and mathematics (STEM). The specific problem addressed was the lack of motivation among Black males to engage in STEM education and STEM careers. The purpose of this study was to examine the factors motivating Black males engaged in STEM in an effort to inform administrators, educators, and programs seeking to increase Black males in STEM. Qualitative methodology was used to conduct focus groups with 20 gifted and talented Black males who currently attend the Illinois Mathematics and Science Academy (IMSA), as well as …

Preservice Teachers’ Perceptions Of Mathematics Through Drawings, Adam Akerson

Faculty Publications

Research indicates that mathematics anxiety is particularly high in pre-service teachers (Bekdemir, 2010; Gresham, 2007; Hembree, 1990). These future teachers will soon be entering classrooms of their own, responsible for teaching mathematics to young children, who need strong teachers. A 2013 report from The National Assessment of Educational Progress (NAEP), found that 42% fourth-graders performed at or above the proficient level in math (NCES, 2013. The purpose of this study was to examine elementary pre-service teacher candidates (PSTCs) perceptions of mathematics, through drawings. Drawings were analyzed before and after a semester-long field experience in a constructivist mathematics environment. The participants …

Impact Of Collaborative Teaching On K-12 Mathematics And Science Learning, Tonya D. Jeffery, Cherie A. Mccollough, Kim Moore

Faculty Publications

A national effort is underway to transform teacher education program practices and produce effective and highly qualified teachers for 21st century classrooms. This effort prescribes providing preservice teachers (PSTs) with authentic field-based experiences that connects what is taught in teacher preparation programs with what they do in the K-12 classroom. Bridging the gap between theory and practice requires that teacher education programs collaborate with schools districts, redesigning teacher training to better serve prospective teachers and their students (NCATE, 2010). This paper describes a mixed-methods study examining the impact of a STEM site-based professional development program (TEX) on the math and …