Science and Mathematics Education Commons^™

What I Taught My Stem Instructor About Teaching: What A Deaf Student Hears That Others Cannot, Annemarie Ross, Randy K. Yerrick

Journal of Science Education for Students with Disabilities

Overall, science teaching at the university level has remained in a relatively static state. There is much research and debate among university faculty regarding the most effective methods of teaching science. But it remains largely rhetoric. The traditional lecture model in STEM higher education is limping along in its march toward inclusion and equity. The NGSS and Common Core reform efforts do little to help university science teachers to change their orientation from largely lecture-driven practice with laboratory supplements. While it is impossible to address all diverse student groups, the need for accommodations tend to be overlooked. As a Deaf …

Inquiry-Based Experiments For Large-Scale Introduction To Pcr And Eestriction Enzyme Digests, Kelly E. Johanson, Terry J. Watt

Faculty and Staff Publications

Polymerase chain reaction and restriction endonuclease digest are important techniques that should be included in all Biochemistry and Molecular Biology laboratory curriculums. These techniques are frequently taught at an advanced level, requiring many hours of student and faculty time. Here we present two inquiry-based experiments that are designed for introductory laboratory courses and combine both techniques. In both approaches, students must determine the identity of an unknown DNA sequence, either a gene sequence or a primer sequence, based on a combination of PCR product size and restriction digest pattern. The experimental design is flexible, and can be adapted based on …

Astr 103: Descriptive Astronomy Syllabus, Michael Sibbernsen

Department of Physics and Astronomy: Syllabi

Syllabus for ASTR 103 Descriptive Astronomy for Fall 2015 semester.

Astr 224: Astronomy And Astrophysics Laboratory, Zachary Smith

Department of Physics and Astronomy: Syllabi

Syllabus for ASTR 224 Astronomy and Astrophysics Laboratory for Fall 2015.

Phys 151: Elements Of Physics, Sy-Hwang Liou

Department of Physics and Astronomy: Syllabi

Syllabus for PHYS 151: Elementary Physics syllabus for Fall 2015 semester.

Astr 204: Introduction To Astronomy And Astrophysics, Shawn Langan

Department of Physics and Astronomy: Syllabi

Syllabus for ASTR 204 Introduction to Astronomy and Astrophysics for Fall 2015 semester.

Astr 113: Life In The Universe Syllabus, Edward Schmidt

Department of Physics and Astronomy: Syllabi

Syllabus for ASTR 113 Life in the Universe for Fall 2015 semester.

Phys 141: Elementary General Physics, Orhan Yenen

Department of Physics and Astronomy: Syllabi

Syllabus for PHYS 141: Elementary General Physics I for Fall 2015 semester.

Integrating Computational Creativity Exercises Into Classes, Leen-Kiat Soh, Duane F. Shell

Discipline-Based Education Research Group Speaker Series

Introduction | Creative Thinking, Computational Thinking

Exercises | Overall Design & Examples

Results | Brief Overview

Logistics | Tips, Support & Feedback

Aim to improve the learning of computational thinking by blending it with creative thinking Creative thinking? • Patterned in a way that tends to lead to creative results • Not limited to the arts • An integral component of human intelligence that can be practiced, encouraged and developed within any context

CREATIVITY THINKING Epstein’s Generativity Theory breaks creative thinking down to four core competencies • Capturing novelty • Challenging established thinking and behavior patterns • Broadening one’s knowledge …

Medulla: A 2d Sidescrolling Platformer Game That Teaches Basic Brain Structure And Function, Joey R. Fanfarelli, Stephanie Vie

Faculty Scholarship and Creative Works

This article explores the design and instructional effectiveness of Medulla, an educational game meant to teach brain structure and function to undergraduate psychology students. Developed in the retro-style platformer genre, Medulla uses two-dimensional gameplay with pixel-based graphics to engage students in learning content related to the brain, information which is often pre-requisite to more rigorous psychological study. A pretest posttest design was used in an experiment assessing Medulla’s ability to teach psychology content. Results indicated content knowledge was significantly higher on the posttest than the pretest, with a large effect size. Medulla appears to be an effective learning tool. These …

The Design And Validation Of A Group Theory Concept Inventory, Kathleen Mary Melhuish

Dissertations and Theses

Within undergraduate mathematics education, there are few validated instruments designed for large-scale usage. The Group Concept Inventory (GCI) was created as an instrument to evaluate student conceptions related to introductory group theory topics. The inventory was created in three phases: domain analysis, question creation, and field-testing. The domain analysis phase included using an expert consensus protocol to arrive at the topics to be assessed, analyzing curriculum, and reviewing literature. From this analysis, items were created, evaluated, and field-tested. First, 383 students answered open-ended versions of the question set. The questions were converted to multiple-choice format from these responses and disseminated …

Guidelines For Good Mathematical Writing, Francis Su

All HMC Faculty Publications and Research

Communicating mathematics well is an important part of doing mathematics. Many of us know from writing papers or giving talks that communicating effectively not only serves our audience but also clarifies and structures our own thinking. There is an art and elegance to good writing that every writer should strive for. And writing, as a work of art, can bring a person great personal satisfaction.

Within the MAA, we value exposition and mathematical communication. In this column, I’m sharing the advice I give my students to help them write well. There are more extensive treatments (e.g., see Paul Halmos’s How …

Assessing The Validity And Reliability Of Dichotomous Test Results Using Item Response Theory On A Group Of First Year Engineering Students, Edmund Nevin, Avril Behan, Gavin Duffy, Stephanie Farrell, Rachel Harding, Robert Howard, Aaron Mac Raighne, Brian Bowe

Conference papers

Traditional measurement instruments employed to assess the performance of student’s studying on STEM (Science, Technology, Engineering and Mathematics) related programmes typically involve classification based on final scores. The validity and reliability of these instruments and test forms are important considerations when assessing whether a student understands content and if not, where and in what way they are struggling. The aim of this study is to examine, validate and analyse the test results of first-year engineering student’s at an Institute of Higher Learning in Ireland who took the Purdue Spatial Visualisation Test of Rotation (PSVT:R). Results obtained were analysed using the …

Enhancing Freshman Engineering Instruction With In-Class Interaction Systems And E-Books, Branimir Pejcinovic, Phillip K. Wong

Electrical and Computer Engineering Faculty Publications and Presentations

Electrical engineering students in our department take a year-long series of courses which introduces electrical engineering as a discipline and provides good grounding in engineering problem solving and programing. We have recently attempted to make the second course in the sequence more engaging by applying active learning techniques, including assigned reading and exercises prior to lectures, in-class exercises using a classroom interaction system, and programming exercises during lectures. Our results are mixed: while we think that students have learned more than if we had not used these techniques, we have not completely won over our students. While using an e-book …

Development And Uses Of Iterative Systematic Literature Reviews In Electrical Engineering Education, Branimir Pejcinovic

Electrical and Computer Engineering Faculty Publications and Presentations

It is expected that most, if not all, graduate students will posses skills necessary for doing literature reviews. It is less clear how to teach these skills most effectively especially to students who are area novices and unfamiliar with review process. Systematic literature reviews offer a solid instructional framework which can be implemented across curriculum and offer an opportunity to teach course material differently so that student learn not just the literature review technique itself but also some segment of the course material. Our pilot study investigated issues related to practical implementation of systematic literature reviews in two classes, with …

Stem Education Research: Useful Ideas For College Instructors Using Ballooning, Stacy A. Wenzel

2017 Academic High Altitude Conference

Stratospheric ballooning is a tool of enormous promise to help STEM college faculty foster highly engaged learning of science for a wide range of students at a wide range of institutions. High altitude ballooning offers a platform for investigating science and engineering across many fields. Ballooning has been used in courses and experiences for not just undergraduate science majors, but also all undergraduates—including future teachers who, in turn, are the key to improving K-12 science education. Technological advances are lowering the cost of and expertise levels required to make launches and analyze data.

Ballooning offers a context within which faculty …

To The Mathematical Beach, Francis Su

All HMC Faculty Publications and Research

What context am I missing that hinders my connection with my students? How often do I take the time to get to know their backgrounds? What are the primary experiences that shaped them, and do those present obstacles or opportunities for learning? And in what ways does the mathematical beach say “open to all” but still feel restricted?

These questions appear unrelated to mathematics, but if we ignore their effects, some of our students will not flourish.

Work Integrated Learning In Stem In Australian Universities: Final Report: Submitted To The Office Of The Chief Scientist, Daniel Edwards, Kate Perkins, Jacob Pearce, Jennifer Hong

Higher education research

The Australian Council for Educational Research (ACER) undertook this study for the Office of the Chief Scientist (OCS). It explores the practice and application of Work Integrated Learning (WIL) in STEM, with a particular focus on natural and physical sciences, information technology, and agriculture departments in Australian universities. The project involved a detailed ‘stocktake’ of WIL in practice in these disciplines, with collection of information by interview, survey instruments, consultation with stakeholders and literature reviews. Every university in Australia was visited as part of this project, with interviews and consultation sessions gathering insight from more than 120 academics and support …

Designing For Mistrust, Eric Gossett

ACMS Conference Proceedings 2015

The 2014 ACM North Central Region programming contest contained a problem about a group of v bandits who want to use multiple locks to seal their treasure and distribute keys in such a way that no group of less than m bandits can open all the locks. The problem asks for an algorithm that will determine the number of locks needed for any set of parameters (v, m). I will present an analytic solution that produces a minimum number of locks, a recurrence relation solution, and a constructive algorithm that can print out a table showing the …

The Mathematics Of Evolution, Steven R. Lay

ACMS Conference Proceedings 2015

Like many universities, Lee University has a non-major’s course for liberal arts students. The course typically includes a potpourri of topics: logical thinking, scientific notation, linear functions, estimation, and probability. At Lee, we have found a way to conclude the course that applies these varied topics to an issue designed to engage student interest and promote critical thinking. We have developed a series of three lessons on “The Mathematics of Evolution.” The first lesson is on radiometric dating. The second lesson is on the origin and progression of life. And the third lesson deals with the nature of the DNA …

A Triune Philosophy Of Mathematics, Dusty Wilson

ACMS Conference Proceedings 2015

What is mathematics and is it discovered or invented? The Humanist, Platonist, and Foundationalist each provide answers. But are the options within the philosophy of mathematics so limited? Rather than viewing and describing mathematics in a mutually exclusive manner, each of these approaches includes components of truth from a greater triune philosophy of mathematics. This talk will introduce this inclusive triune paradigm through which to explore fundamental questions about mathematics.

Software Engineering I: Teaching Challenges, Paul C. Grabow

ACMS Conference Proceedings 2015

The term software engineering can be traced to the late 1960s in response to large-scale, software development problems. Since then it has evolved as a discipline, both within industry and the academy. There have been distinct educational successes: “Standard practice” has matured (and found its way into more textbooks),the ACM and IEEE Computer Society have published curriculum guidelines, computer science programs commonly offer at least one software engineering course, and software engineering degrees (undergraduate or graduate) are more common. However, software engineering still presents a challenge. The term itself has become contorted by companies (and society in general); software has …

Mystery Of The Infinite: Developing A Mathematically Based Summer Scholars Program, Christopher Micklewright

ACMS Conference Proceedings 2015

For the past two years, the Templeton Honors College, at Eastern University, has been conducting a Summer Scholars Program for high school students. The program, which has offered courses in a variety of topics, brings students to campus for an intensive residential program, coupled with pre-program and post-program work, for which students can earn college credit. In summer 2014, I helped to develop a mathematically based course, to include rigorous study of discrete mathematics, as well as a variety of lectures and extracurricular activities integrating faith and philosophy with mathematics. In this presentation, I will give an overview of the …

The Best Religious Calendar, Andrew Simoson

ACMS Conference Proceedings 2015

Many religions have deep roots in the rhythms of the moon. And ever since at least the fifth century BC man has known that the moon repeats itself every n = 19 years. Is this integer valuen the best of all choices?Easter follows such a calendar. We briefly show that 19 is second best. And then we run time backwards, and give a rationale as to why a certain species of cicada has a life cycle of 17 years. The answer involves the moon, the Farey series, and Kepler’s laws of motion.

Math, God And Politics—A Fight Over Geometry In 19th Century Italy, Donna Pierce

ACMS Conference Proceedings 2015

In 1839 a polemic, reminiscent of the Renaissance public challenges over mathematical problems, was issued by the leader of the synthetic school of geometry, Vincent Flauti, to the analytical school, headed by Fortunato Padula. Three geometric problems were proposed, all carefully chosen to guarantee a victory for the synthetic school. The judges were from the Royal Academy of Sciences, men also favorable to the synthetic method. Why then did the analytics take up this challenge, and who were the real victors? This was not just a fight over the ‘correct’ way to do geometry, it was a fight over politics, …

Experiencing A Paradigm Shift: Teaching Statistics Through Simulation-Based Inference, Dave Klanderman, Mandi Maxwell, Nathan Tintle

ACMS Conference Proceedings 2015

For decades, statistics has been taught as an application of formulas, making use of normal and other distributions, and relying heavily on algebraic skills of students, in short, emphasizing mathematical thinking. More recently, several textbook author teams have published statistics books that place an increased emphasis on simulation and randomization methods, and a corresponding decreased emphasis on the algebraic manipulation in formulas (e.g., Lock et al., 2012; Tintle et al., 2015) as a way to encourage better statistical thinking.This session describes simulation-based inference curricula more fully, reports on the necessary steps towards implementation of such an approach, and provides both …

On Random Numbers And God’S Nature, James Bradley

ACMS Conference Proceedings 2015

I start with mathematical Platonism, an ancient stream of thought that views numbers as transcending physical reality. I join this to recent insights into mathematical randomness from theoretical computer science. Joining these streams – one ancient, one recent – yields the surprising conclusion that randomness, defined in a particular way, is part of the nature of God. I then explore some of the implications of this conclusion for our understanding of the doctrine of God’s infinitude.

Parables To A Mathematician, Melvin Royer

ACMS Conference Proceedings 2015

Jesus frequently used parables in His ministry, usually short narratives illustrating the outcomes of people’s choices. In John 3:12 and Matthew 13:10-15, He explained that one reason was to be sure that people who genuinely wanted to understand His message would be able to do so. Since most of His audience was familiar with an agrarian economy, Jesus spoke extensively of wheat, fish, trees, wine, debt, tenants, lamps, etc. Many people have speculated on parables Jesus might have used had He lived in a different society. This non-scholarly (but hopefully thought-provoking) talk will propose parables targeted toward groups of mathematicians …

God: One, Daniel Kiteck

ACMS Conference Proceedings 2015

I see the most mathematically significant verse as Deut. 6:4 where God says He is ONE. (And I don’t believe that it is an accident that the greatest commandment to love God with all we are immediately follows.) What is the concept of “one” in relationship to God? Is God dependent on the concept of “one?” What if “one” is ultimately always a comparison going back to God? God is also commonly viewed as infinite. How is this connected to our understanding of the mathematical continuum? Could this help us see how God is foundational both to discrete and continuous …

The Math Olympian, By Richard Hoshino. A Review, Moriah Magcalas, Kyle Spyksma

ACMS Conference Proceedings 2015

This presentation will be a review of the novel The Math Olympian written by ACMS member Richard Hoshino.