Science and Mathematics Education Commons^™

Enriching Science And Math Through Engineering, Adrienne Redmond, Julie Thomas, Karen High, Margaret Scott, Pat Jordan, Jean Dockers

Department of Teaching, Learning, and Teacher Education: Faculty Publications

This case study reviewed the collaborative efforts of university engineers, teacher educators, and middle school teachers to advance sixth- and seventh-grade students’ learning through a series of project-based engineering activities. This two-year project enriched regular school curricula by introducing real-world applications of science and mathematics concepts that expanded opportunities for creativity and problem-solving, introduced problem-based learning, and provided after-school programming (for girls only) led by engineering students from the local university. This engineering education initiative showed significant impact on students’ (1) confidence in science and mathematics; (2) effort toward science and mathematics; (3) awareness of engineering; and (4) interest in …

The Unforgettable Experience Of A Workshop On Pythagoras Theorem, Salima Shahzad Arwani

Institute for Educational Development, Karachi

No abstract provided.

Excellent Adventures In Global Collaboration, Glenn W. "Max" Mcgee, Aracelys Rios

Publications & Research

No abstract provided.

Cebs Magazine, The College Of Education And Behavioral Sciences At Wku, Fall 2011, Sam Evans, Dean, Michelle Kahler, College Of Education And Behavioral Sciences At Wku

College of Education and Behavioral Sciences Publications

No abstract provided.

Addressing Misconceptions About Heat Transfer In Undergraduate Chemical Engineering Instruction, Katharyn E. K. Nottis, Michael J. Prince, Margot A. Vigeant

Michael J. Prince

Understanding heat, energy and temperature can be difficult. Misconceptions about heat transfer have been found to persist, even after instruction. New instructional methods are needed to address them. This pilot study examined whether researcher-developed, inquiry-based activities could increase conceptual understanding of heat transfer. Twenty-two undergraduate chemical engineering students were assessed before and after instruction with inquiry-based activities. Participants had significantly higher scores on the post-test. An examination of assessment questions revealed substantial improvement on questions closely related to activities. However, participants had difficulty applying concepts in new and related contexts. Educational implications and suggestions for future research will be discussed.

Addressing Misconceptions About Heat Transfer In Undergraduate Chemical Engineering Instruction, Katharyn E. K. Nottis, Michael J. Prince, Margot A. Vigeant

Margot Vigeant

Understanding heat, energy and temperature can be difficult. Misconceptions about heat transfer have been found to persist, even after instruction. New instructional methods are needed to address them. This pilot study examined whether researcher-developed, inquiry-based activities could increase conceptual understanding of heat transfer. Twenty-two undergraduate chemical engineering students were assessed before and after instruction with inquiry-based activities. Participants had significantly higher scores on the post-test. An examination of assessment questions revealed substantial improvement on questions closely related to activities. However, participants had difficulty applying concepts in new and related contexts. Educational implications and suggestions for future research will be discussed.

Changing Perceptions Of Science In Undergraduate Students: A Mixed Methods Case Study, Cindy S. Larson-Miller

Department of Teaching, Learning, and Teacher Education: Dissertations, Theses, and Student Research

The purpose of this bounded single-case study was to explore the understanding of the nature and process of science for undergraduate students at the University of Nebraska-Lincoln (UNL). The study investigated one professor’s methodology to explicitly teach undergraduate students about the nature and process of science, and documented their understanding and perception of science, both pre- and post-course.

Using a mixed method approach, data were collected to provide a better understanding of teaching the nature and process of science. Three main types of data were analyzed: the process of science (TPOS) assessment; survey questions, and the module curriculum.

Participating students …

Investigating The Effects Of Addition With Regrouping Strategy Instruction Among Elementary Students With Learning Disabilities, Christi Miller Carmack

UNLV Theses, Dissertations, Professional Papers, and Capstones

Many students, specifically those with learning disabilities, struggle to master foundational computation skills such as addition with regrouping. With this in mind, the purpose of this research was to examine the effects of strategy instruction that involved the use of the concrete-representational-abstract teaching sequence on the addition with regrouping computation and word problem-solving skills of students with learning disabilities. This study involved the use of a multiple probe across participants design with two replications. The participants included nine second through sixth graders who had been identified as having a learning disability and were demonstrating mathematics difficulties. There were three females …

Computational Insight With Monte Carlo Simulations, Boyan Kostadinov

Publications and Research

We introduce Monte Carlo simulations for estimating areas by playing a game of "darts". We also introduce simulations of random walks. We use compact, vectorized programming, based on the R language, for all computer simulations and visualizations, aimed at high school students. This presentation is based on the Invited, prime time lecture given at the summer camp for gifted high school students at City College of New York, July 13, 2011.

The Challenge: Magazine Of The Center For Gifted Studies (No. 27, Summer 2011), Center For Gifted Studies, Tracy Inman Editor

Gifted Studies Publications

No abstract provided.

Use Of Cognitive Artifacts In Chemistry Learning, Ilker Yengin

Department of Teaching, Learning, and Teacher Education: Dissertations, Theses, and Student Research

In everyday life, we interact with cognitive artifacts to receive and/or manipulate information so as to alter our thinking processes. CHEM/TEAC 869Q is a distance course that includes extensive explicit instruction in the use of a cognitive artifact. This study investigates issues related to the design of that online artifact. In order to understand design implications and how cognitive artifacts contribute to students’ thinking and learning, a qualitative research methodology was engaged that utilized think aloud sessions. Participants’ described constrained and structured cognitive models while using the artifact. The study also was informed by interviews and researcher's field notes. A …

Connecting Science With Engineering: Using Inquiry And Design In A Teacher Professional Development Course, Louis S. Nadelson, Patricia Pyke, Janet Callahan, Anne Hay, Joshua Pfiester, Mark A. Emmet

Curriculum, Instruction, and Foundational Studies Faculty Publications and Presentations

The engineering design process has evolved over time to be the central and effective framework that engineers use to conduct their work. Logically, K-12 STEM professional development efforts have then attempted to incorporate the design process into their work. There has been little in the STEM literature, though, of the explicit measurement of the growth in design process knowledge. Our study presents findings of significant improvements in knowledge of the design process that resulted over the course of a recent summer STEM institute and professional development program among K-5 teachers.

As more emphasis is placed on integrating STEM into the …

Developing A Climate Science Education Professional Development Program, Dan Shepardson

2011 Symposium on Data-Driven Approaches to Droughts

This presentation overviews the process and challenges of developing a climate science professional development program for teachers. Implications to drought education will be explored.

The Search For Hamilton, Eric Gossett

ACMS Conference Proceedings 2011

In July and August of 2009 my wife and I went on a four-week trip to Scotland and Ireland. We would be visiting Dublin, so I decided that we should visit the famous bridge where William Rowan Hamilton carved the equations for the quaternions. The task was not as simple as I had assumed. This paper gives some details of the search.

Thinking Philosophically About Mathematics, Robert L. Brabenec

ACMS Conference Proceedings 2011

In my early years as a teacher of mathematics, the history of mathematics was seldom mentioned in the classroom. It was viewed as an unworthy topic that would detract from the presentation of mathematics itself. This opinion has dramatically changed over the years, and the history of mathematics is now embraced and used by many mathematicians in their teaching and even research. We might choose to ask a related question. How much philosophy is necessary or helpful for a mathematics teacher to know, and to use in his or her teaching? We see a growing interest in the philosophy of …

Bringing Undergraduate Research Into The Classroom, Stephen Lovett

ACMS Conference Proceedings 2011

Mathematics graduate programs and companies that employ math majors often want to ascertain an applicant’s potential for research. However, in many undergraduate courses, assessments consist only of regular exercise sets, quizzes, and in-class tests. Without doing a senior research thesis or landing an official REUs, students do not regularly gain experience in or an appreciation for research. Courses in the humanities regularly require students to write in the discipline, progressively preparing them methodologically for “writing in the field.” This begs the question: could math departments do a little more to prepare our students to use mathematics beyond college?

In this …

Calculus Communication Circle, Judith Palagallo

ACMS Conference Proceedings 2011

Calculus Communication Circle is a network for the professional development of Advanced Placement Calculus teachers. In Northeast Ohio the Circle provides a forum where teachers meet to share ideas about mathematics and the teaching of calculus. This article describes the creation of the Circle and the progress it has made over its three year existence.

The Need For A Graphics Programming Course, Nathan Gossett

ACMS Conference Proceedings 2011

A discussion of the benefits of offering a course on programming Computer Graphics in an undergraduate Computer Science curriculum. A sample course outline is provided, as well as a discussion of ways to conduct lectures, labs and a list of suggested assignments. A discussion of “dos and don’t s will also be presented, including a list of required prerequisite courses and skills that students would need in order for the course to be a success.

Lesson’S Learned: A Journey In Computational Science, Ryan Botts, Lori Carter

ACMS Conference Proceedings 2011

Inspired by work on building a computational science program and student questions about modeling, we aim to discuss some of our experiences with computational science. We will first clarify what computational science is, why it is a legitimate science, why it is worth our students’ time and what makes it a challenging field. We will also discuss how computer scientists, mathematicians and laboratory scientists each have something different to contribute to the field.

Google And The Mathematics Of Web Search, Michael Rempe

ACMS Conference Proceedings 2011

This article examines the algorithms used by Google to rank search engine results, called PageRank.

Real Simulations And Simulated Reality, Wayne Iba

ACMS Conference Proceedings 2011

Movies such as The Matrix have stimulated popular interest in “brain in a vat” scenarios. Amidst the traditional questions of the mind, we tend to overlook an integral enabling component—the world simulation—which merits consideration in its own right. When facing the simulations in these imagined scenarios, we struggle with conceptual muddles regarding what is real and not. In this paper, I argue that simulated worlds are every bit as real as the one we inhabit. This turns out to be important when considering the possibility, as suggested by Nick Bostrom, that the world we experience as “real” is actually a …

History Of Mathematics: An Exercise In Strengths, Mary Walkins

ACMS Conference Proceedings 2011

As a leader in strengths-based education, Lee University encourages each new student, since fall of 2003, to take the Gallup StrengthsFinder to determine their top 5 signature themes (out of a possible 34). At Lee, the syllabus for the History of Mathematics course calls for students to write a paper on a mathematician. In the fall of 2009, as an added dimension, students were asked to critically think about and incorporate the strengths they believe that mathematician may have. Each student was required to compare and contrast his or her strengths with those of the mathematician. This was done with …

Pascal’S Thoughts Seen In The Light Of Scripture, Loredana Ciurariu

ACMS Conference Proceedings 2011

In this paper we study Pascal’s character via his writings. There are indications that his health might have deteriorated following the experiments he had done using mercury. He talks in his Pensées about faith, grace and purity of the heart, about the peoples and the way in which God leads them, about wisdom, dreams and hopes and that which lies in the human heart. If a statistics was done concerning the most used books and verses from the Bible in Pensées, these would be: Ecclesiastes, Proverbs, Matthew, Mark, Jeremiah, Hebrews, Romans, Luke, Isaiah, Psalms. But those which occupy a central …

The History Of The Area Between A Line And A Parabola, Gordon A. Swain

ACMS Conference Proceedings 2011

This is a review of various methods used by many mathematicians to determine the area of the segment bounded by a parabola and a line. We include descriptions of proofs from the Greek period (Archimedes), the Arabic period (ibn Qurra and ibn Sinan), and the 1600's in European (Galileo, Roberval, Fermat and Wallis, among others), in order to display the changing nature of mathematics.

Pk Mathematics, Jeremy Case

ACMS Conference Proceedings 2011

An examination of the historical development of mathematics and how mathematical history has changed by looking at mathematicians who were also PKs (Preacher’s Kids).

The Mathematics Of Cubic Sudoku, Nicholas Zoller

ACMS Conference Proceedings 2011

In the last decade the Sudoku puzzle has fixed itself in America’s puzzle consciousness. Sudoku puzzles share space with crossword puzzles and word finds in newspaper puzzle sections, and several books have been written for the Sudoku playing community. Mathematicians are among the most dedicated Sudoku players. Although some are content with simply solving puzzle after puzzle, others have used tools from combinatorics and algebra to study its important properties.

We investigate a variant of Sudoku called Cubic Sudoku, as well as Cubic Sudoku’s simpler relative, Cubic Shidoku. We successfully count the number of Cubic Shidoku puzzles in two different …

What We Can Learn From Process Theology: Integrating Faith And Mathematics, Josh Wilkerson

ACMS Conference Proceedings 2011

In the inaugural issue of The Journal of the Association of Christians in the Mathematical Sciences, James Bradley, the founding editor, suggests fourteen areas that need to be addressed by Christian mathematicians who are series about integrating their faith and their work. One of those areas is the topic of this paper. Bradly frames the question: “Some thinkers (perhaps influenced by process theology) have asserted the idea that God’s creation is not a finished work but that he creates new mathematical objects through mathematicians. Is this idea theologically sound? Is it helpful for our understanding of mathematics?” I copy …

A Bayesian Secondary Analysis In An Asthma Study, Samuel P. Wilcock, Vernon M. Chinchilli, Stephen P. Peters

ACMS Conference Proceedings 2011

A recent study published in the New England Journal of Medicine by the Asthma Clinical Research Network (ACRN) compared three different treatments for their effectiveness in treating adults with uncontrolled asthma. This paper will describe the study design and its results, then detail the beginnings of a secondary analysis using Bayesian methods to estimate the parameters of interest. The methods will be explained, and the preliminary estimates given and contextualized. The paper will conclude with a discussion of the next steps and the goals for further analysis of the data in this study.

Math History Study Abroad Program: Learning Math History In A Cultural Context, Donna Pierce

ACMS Conference Proceedings 2011

In January 2011 fifteen Whitworth University mathematics students and I, their professor, traveled through Europe to study the history of mathematics. The goal was to gain an understanding of how mathematical ideas have developed over time; how social, cultural and historical factors have influenced the development of mathematics and conversely, how mathematics contributed to society and human culture. Over a course of three weeks we traveled to three countries and over a half dozen cities, viewing the tools, papers and workbooks or these mathematicians, seeing their engineering and artistic creations, and learning from local experts as they guided us through …

Two Faith Integration Projects For Freshman Majors, Nicholas J. Willis

ACMS Conference Proceedings 2011

Two projects will be presented that integrate faith and Mathematics in a freshman Introduction to Proofs class at George Fox University. The first project asks students to look at the life of a Christian Mathematician. The focus of this project is to show students that many great mathematicians also had immense faith. The second project asks students to take a close look at their own life. How do they plan to live a life of Christian faith in their chosen profession? Both projects are designed to encourage students to look at their careers in Mathematics as a vocation.