Science and Mathematics Education Commons^™

Freedom Through Inquiry, Francis Su

All HMC Faculty Publications and Research

I delivered this speech at the Inquiry‐Based Learning Forum & 19th Annual Legacy of R.L. Moore Conference on August 4, 2016. It is partly an homage to an influential teacher, partly an excuse to articulate what makes some styles of teaching so effective, and partly an excuse to talk about difficult issues facing our nation and our classrooms today.

Infographic: Stem And Gender, Jo Earp

Teacher infographics

A recent report from the Australian Council for Educational Research explored gender differences in relation to STEM participation, achievement and engagement. Here are some of the results.

Conventionalizing And Axiomatizing In A Community College Mathematics Bridge Course, Mark Alan Yannotta

Dissertations and Theses

This dissertation consists of three related papers. The first paper, Rethinking mathematics bridge courses--An inquiry model for community colleges, introduces the activities of conventionalizing and axiomatizing from a practitioner perspective. In the paper, I offer a curricular model that includes both inquiry and traditional instruction for two-year college students interested in mathematics. In particular, I provide both examples and rationales of tasks from the research-based Teaching Abstract Algebra for Understanding (TAAFU) curriculum, which anchors the inquiry-oriented version of the mathematics bridge course.

The second paper, the role of past experience in creating a shared representation system for a mathematical operation: …

First-Year Students: Investigating The Impact Of Participating In A Mathematics Learning Community, Lindsay Barrie

Theses and Dissertations

The purpose of this study was to investigate how participating in a mathematics learning community can impact a first-year students’ experience in college. The total population in the Math Learning Community (MLC) was 40, 36 of these members participated in a survey and five volunteered to participate in an interview. The survey collected demographic information and responses to statements regarding the students’ transition to college, their connectedness to Rowan, their peer interaction, faculty interaction, and their overall satisfaction at Rowan. The interview questions asked about their most and least satisfying aspects of participating in the MLC and what recommendations they …

The Educational Journeys Of First-Generation College Women In Stem: A Grounded Theory Study, Susan Geier

Open Access Dissertations

The purpose of this study was to ascertain the various factors that influenced these first-generation college women as they chose a college and selected a STEM major and subsequently persisted to upper level (junior/senior) status. Twenty-five first-generation college women in STEM majors who attended a research-intensive university in the Midwest were interviewed. Approaching this study using constructivist grounded theory provided the opportunity for deeper insights by examining data at a conceptual level while preserving the voices of the women in this study. The women faced numerous challenges on their journeys, yet they persisted. As the women in this study selected …

Using Ibl In A History Of Mathematics Course: A Skeptic’S Success, Michael E. Matthews, Angela M. Hodge

Journal of Humanistic Mathematics

A college professor, who is highly skeptical of change, but sensing a need for teaching in a more inspiring and engaging way, implements an inquiry-based learning (IBL) approach to teaching the history of mathematics. The first author (Matthews) worked with an experienced IBL colleague mentor (Hodge) on the course. Some student data was collected to document the effects of the class on the students. The approach taken for the course is described in detail including how the students of the course learned about and used IBL in key peer-to-peer teaching about historical mathematics (with a primary focus on the mathemat- …

Becoming A Scientist: Using First-Year Undergraduate Science Courses To Promote Identification With Science Disciplines, Chloe Ruff, Brett D. Jones

Education Faculty Publications

In this qualitative study, we examined how two professors (a physicist and biochemist) of first year college students perceived their students’ development of identification in biochemistry or physics and how they actively supported this development. The professors described students who entered college with different levels of domain identification and different expectations for their college science experience depending upon whether they were in a biochemistry or physics major. Although neither professor was familiar with research related to the concept of domain identification, their beliefs about their students’ identification and academic support strategies generally aligned with the Osborne and Jones (2011) model …

Parts Of The Whole: Teaching Quantitative Reasoning In An Exponential Decay Model, Dorothy Wallace

Numeracy

The simple calculus example of exponential decay can be an excellent vehicle for teaching quantitative reasoning in calculus or differential equations. Insect maturation provides a rich context for thinking about the meaning of the rate constant for exponential decay, which is derived in the context of a system at equilibrium but is generally measured using a single cohort of individuals.

Review Of Sustainable Energy -- Without The Hot Air By David Mackay (2009), Kira Hamman

Numeracy

David MacKay. Sustainable Energy: Without the hot air. (Cambridge, England: UIT Cambridge Ltd., 2009). 384 pp. ISBN 978-0954452933 (also available as a free e-book).

Physicist David MacKay transforms what has historically been a debate fraught with skepticism and hysteria into an informed conversation. He does this by providing clear, accurate quantitative information on energy production and consumption in a form that allows comparison and invites thoughtful analysis. By recalibrating power into kilowatt-hours per day per person, he makes the numbers meaningful on an individual level. He then meticulously estimates the productive capacity of various renewable energy sources, explores alternative …

Attitudes Toward Statistics Studies Among Students With Learning Disabilities, Orly Lipka, Itay Hess

Numeracy

This study aims to examine the effectiveness of a support course to change attitudes toward statistics studies of post-secondary students who were diagnosed with learning disabilities (LD) and/or Attention Deficit Hyperactivity Disorder (ADHD). The participants were 22 students in a support course that was provided over a single academic term on a weekly basis. The design of the study was according to 'Pre-Post' comparison. The effects on attitudes toward statistics were examined quantitatively and qualitatively to provide a comprehensive methodology for the research purposes. Results suggest that the weekly support course model that was taught simultaneously to the on-line course …

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 …

Why Be So Critical? Nineteenth Century Mathematics And The Origins Of Analysis, Janet Heine Barnett

Analysis

No abstract provided.

Henri Lebesgue And The Development Of The Integral Concept, Janet Heine Barnett

Analysis

No abstract provided.

The Failure Of The Euclidean Parallel Postulate And Distance In Hyperbolic Geometry, Jerry Lodder

Geometry

No abstract provided.

Richard Dedekind And The Creation Of An Ideal: Early Developments In Ring Theory, Janet Heine Barnett

Abstract Algebra

No abstract provided.

The Explorations Program: Benefits Of Single-Session, Research- Focused Classes For Students And Postdoctoral Instructors, Jeremy L. Hsu, Anna M. Wrona, Sarah E. Brownell, Waheeda Khalfan

Biology, Chemistry, and Environmental Sciences Faculty Articles and Research

We present an update to Explorations, a program at Stanford University that allows undergraduates in an introductory biology course to explore specialized topics in the biological sciences while providing graduate students and postdoctoral scholars the unique opportunity to develop and teach single-session, research-focused classes. We provide an assessment of eight iterations of the program, using program attendance, student and instructor evaluations, senior exit surveys, course grades, and completion of undergraduate honors theses to assess the impact of our program on students and instructors. Students rated their experiences highly, and most reported that the program had a positive impact on their …

Should Students Assessed As Needing Remedial Mathematics Take College-Level Quantitative Courses Instead? A Randomized Controlled Trial, Alexandra W. Logue, Mari Watanabe-Rose, Daniel Douglas

Publications and Research

This data set is for Should Students Assessed as Needing Remedial Mathematics Take College-Level Quantitative Courses Instead? A Randomized Controlled Trial (Logue, Watanabe-Rose, & Douglas, 2016).

Females In Automotive Careers: Career Decision-Making Influences And Experiences During University Preparation And Beyond, Russell A. Leonard Jr.

Dissertations

Today, women fill nearly 50% of the jobs in the U.S. economy (U.S. Dept. of Labor, 2014). While women are making progress in many careers once considered male only, they are still underrepresented in the male-dominated Science, Technology, Engineering, and Math (STEM) careers, filling only 25% of available STEM jobs (Beede et al., 2011). The problem is not a lack of interest in STEM subjects, but a “leaky pipeline” that develops early in adolescence. By the eighth grade, half as many girls are interested in STEM careers as boys (National Science Foundation [NSF], 2007). Even after graduation from college, women …

Gaiseing Into The New Guidelines, Robert Carver, Megan Mocko, Jeffrey Witmer, Beverly Wood

Publications

The first GAISE College Report came out in 2005. Over the past ten years our discipline has changed in many ways, including but not limited to what type of data is easily available, the technology that we use, as well as how we teach students. In this presentation we will briefly start with how the new GAISE 2016 guidelines and goals have changed, including the two new emphases of statistical thinking: giving students experience with multivariable thinking and with the investigative process. So how do you start to implement these new ideas? In this presentation, we will demonstrate an activity …

Strategies For Teaching Developmental Mathematics Students At The College Level, Natalie Lynn Kautz

Theses and Dissertations

The purpose of this investigation was to identify strategies used by effective instructors of developmental mathematics, and to discover the perceptions developmental mathematics students have about these strategies. While there are research projects focusing solely on developmental mathematics achievement, this study fills a need by incorporating views of teaching effectiveness from multiple viewpoints.

In this research project, college-level instructors of developmental mathematics students were recorded on video before, during, and after the teaching of an algebraic concept. Students were given a pre-lesson survey and post-lesson survey to see if there were gains in their learning. Students completed a survey about …

Beyond Behavior, Craig C. Laupheimer

Scholarship and Engagement in Education

Teaching to engage students with Attention Deficit Hyperactivity Disorder (ADHD) can inspire the whole classroom and make teaching and learning engaging and exciting. Although teachers and students alike face a challenging educational landscape, much can be done to empower students with special needs. Teaching with the whole classroom in mind with an emphasis on hands on, explorative and inspirational learning experiences to accommodate for these students strengthens and causes student engagement and agency. This article highlights the challenges and potential breakthroughs possible for classroom instruction specifically where the ADHD student is concerned and looks towards teaching mindfulness and empowerment as …

Inadequacy Of Benin's And Senegal's Education Systems To Local And Global Job Markets: Pathways Forward; Inputs Of The Indian And Chinese Education Systems., Kpedetin Mignanwande

Sustainability and Social Justice

This paper explores the historical legacy that shapes the current higher education system in most sub-Sahara African countries. It further analyzes various specificities in terms of production of graduates in many sub-Sahara African higher educational schools, as well as the rate, process, and conditions of employment of newly graduated students. Inspired by the comparative advantage offered by the Indian education system in Information, Communication and Technology (ICT), and the Chinese education system in terms of Technical Skills and Work Readiness, the paper suggests an educational pathway that selects, orients and empowers students in these science related areas. It strongly emphasizes …

Evaluating College Biology Laboratory Accommodations For Students With Blindness And Visual Impairments, Barbara Rae Heard

All Theses And Dissertations

Studies show that active participation in science laboratory activities promotes student learning. However, students with blindness and visual impairments (BVI) often confront obstacles to active participation in the required activities of the college biology laboratory. Legislation requires institutions of higher education to provide accommodations for students with disabilities, yet the institutions must also maintain the academic integrity of their courses and programs. While college biology instructors provide specific accommodations, such as tactile models and audible devices, to enable active participation by students with BVI, they do so without research-supported guidelines for best practices. This mixed methods study sought to evaluate …

The Effects Of Dynamic Graphing Utilities On Student Attitudes And Conceptual Understanding In College Algebra, Ryan Vail Thomas

Graduate Theses and Dissertations

The goal of this study is to explore and characterize the effects of using a dynamic graphing utility (DGU) on conceptual understanding and attitudes toward mathematics, measured by the responses of college algebra students to an attitude survey and concepts assessment. Two sections of college algebra taught by the primary researcher are included in the study, with one group using the dynamic graphing utility Desmos (www.desmos.com), and the other using the TI-84 (or equivalent) graphing calculator as a control. The Precalculus Concept Assessment (Carlson, Oehrtman, & Engelke, 2010) was used to measure aspects of students’ conceptual understanding of course material, …

Facilitating Conceptual Learning In Quantitative Chemistry, Sarah R. Johnson

Electronic Theses and Dissertations

Traditional chemistry laboratory courses have a manual consisting of “step-by-step” experiments; instructions are given to complete experiments, requiring minimal information/concepts processing to be successful. This experience leaves students unprepared for the real-world, where critical thinking skills are needed to conduct research. This study focused on building analytical techniques, conceptual knowledge, and critical thinking skills used to solve research problems. A new quantitative chemistry laboratory manual was developed to transition students from traditional to inquiry-based experiments, requiring analytical method development. Data showed students having less difficulty using the new manual (0.8281 average difficulty) on method development exam questions and experiments, compared …

Multivariate Thinking In An Intro Stats Course – Is It Possible?, Beverly Wood

Publications

Many of our students have an intuitive sense that there is more to the story than univariate or bivariate data can tell us. We can acknowledge and encourage that habit of digging deeper by demonstrating some ways to look at additional variables. Simpson’s paradox and side-by-side scatter plots are ways to provide a glimpse of more complex analysis that are accessible to students in an introductory course with or without strong quantitative skills.

Put Away Your Phone And Learn! How Technology Engages Or Disengages Students And… When It Is Good That Your Students Are Confused, Douglas K. Duncan

Discipline-Based Education Research Group Speaker Series

Some technology increases student learning, some decreases it. I will show evidence of both and discuss what makes the difference. Approximately 70% of college students now text during class, and no faculty member we studied saw even as much as half of the texting that occurred. Is there any viable way to stop this? What should instructors do about the use of laptops in class?

The second part of the talk will address the uses of confusion, presenting interesting data showing the type of confusion that leads to increased student learning. Part of the discussion will be how demos – …

Successful Female Students In Undergraduate Computer Science And Computer Engineering: Motivation, Self-Regulation, And Qualitative Characteristics, Melissa Patterson Hazley

College of Education and Human Sciences: Dissertations, Theses, and Student Research

Computer Science (CS) and Computer Engineering (CE) fields typically have not been successful at recruiting or retaining women students. Research indicates several reasons for this shortage but mainly from three perspectives: social issues, exposure/prior knowledge and curriculum issues in K-12 settings. This mixed-methods research addresses a gap in the literature by investigating the motivation and self-regulation behaviors of successful female students who are studying computer science and computer engineering. The findings in phase one of this study indicated that learning and performance approach goals predicted adaptive strategic self-regulation behaviors including strategy use, knowledge building and engagement. Learning avoidance goals predicted …

Implementation Of Flipped Classrooms In A Non-Major Biology Course, Leah Good

Scholars Week

With major calls for reform in STEM education from professional organizations (e.g. AAAS, NIH, NSF), studies have found that faculty in higher education can improve student learning by changing their teaching from teacher-centered to student-centered. Change in teaching practice can be difficult, however, especially without significant training. One method of introducing student-centered teaching practices into the classroom is through the use of a flipped classroom model, where students engage in learner-centered activities within the classroom and receive passively-transmitted information outside the classroom. The focus of my study was two-fold, (a) to determine if the flipped classroom method affects student learning …

Concepts About Sedimentology And Stratigraphy In Undergraduate Geoscience Courses, Bailey Z. Kreager

Department of Earth and Atmospheric Sciences: Dissertations, Theses, and Student Research

This two-part study examines sedimentologic and stratigraphic concepts in undergraduate geoscience courses. The first part seeks to identify the various types of interactive engagement strategies used in undergraduate science courses, how they are used and in what fields. It also looks at areas in which the geosciences have excelled in interactive engagement strategies. Published studies describing interactive engagement strategies in college-level courses were collected and coded, which identified six emergent types of interactive engagement strategies: (1) Polling, (2) Full-Class Discussion and Activities, (3) In-Class Group Work, (4) Out-Of-Class Group Work, (5) Online Work, and (6) Other types. Interactive engagement strategies …