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Science and Mathematics Education Commons™
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Articles 31 - 60 of 121
Full-Text Articles in Science and Mathematics Education
Roots And Seeds: Finding Our Place In The Social Practice Nexus That Is Quantitative Literacy, H. L. Vacher, Nathan D. Grawe
Roots And Seeds: Finding Our Place In The Social Practice Nexus That Is Quantitative Literacy, H. L. Vacher, Nathan D. Grawe
Numeracy
The purpose of our new Roots and Seeds feature is to provide an open-access space to archive first-hand accounts of QL activities that have preceded our journal (2008). The first two contributions in the collection appeared last issue: Linda Sons on the making of what has come to be known as the 1994 Sons Report (Mathematics Association of America), and Dorothy Wallace on her path to the Quantitative Literacy Design Team for Mathematics and Democracy (2001), and the questions that bedeviled them then – and us now. In this issue, we get Rick Gillman’s account of how the committee that …
Regression To The Mean, Dominic Klyve
Regression To The Mean, Dominic Klyve
Statistics and Probability
No abstract provided.
Solving Equations And Completing The Square: From The Roots Of Algebra, Danny Otero
Solving Equations And Completing The Square: From The Roots Of Algebra, Danny Otero
Pre-calculus and Trigonometry
No abstract provided.
Study Of Healthcare-Associated Infections And Multi-Drug Resistance In Brooklyn: An Integrative Approach, Liana Tsenova, Urmi Ghosh-Dastidar, Arnavaz Taraporevala, Pamela Brown, Aionga Pereira-Edwards
Study Of Healthcare-Associated Infections And Multi-Drug Resistance In Brooklyn: An Integrative Approach, Liana Tsenova, Urmi Ghosh-Dastidar, Arnavaz Taraporevala, Pamela Brown, Aionga Pereira-Edwards
Publications and Research
One SENCER ideal is to connect science education and civic engagement by student learning through complex, unresolved public issues. Using this approach, we established a collaborative interdisciplinary project involving faculty and undergraduate students at NYC College of Technology. Over several semesters, students conducted literature search and discovered the complex factors contributing to the occurrence and transmission of healthcare-associated infections (HAIs). Using microbiology data from 15 hospitals in Brooklyn, NY, they applied statistical analyses, studied the antibiotic resistance, and developed a campaign to bring more awareness of this problem. The results of the project highlight the importance of immediate action in …
Open Textbook Project [Poster], Sue Ann Gardner
Open Textbook Project [Poster], Sue Ann Gardner
University of Nebraska-Lincoln Libraries: Conference Presentations and Speeches
Details of a porject undertaken to collaboratively write and produce an open access parasitology textbook for undergraduate and graduate students. The book will be published by Zea Books at the University of Nebraska-Lincoln in 2020 and be available in English and Spanish both online and print-on-demand through lulu.com.
Co-Executive Editors: Scott L. Gardner and Sue Ann Gardner, University of Nebraska-Lincoln. Publisher: Paul Royster/Zea Books, University of Nebraska-Lincoln. Spanish Translator: Yoanna Esquivel Greenwood, University of Nebraska-Lincoln. Project Coordinator: Sue Ann Gardner.
Project website: Concepts in Animal Parasitology.
Developing Numeracy And Problem-Solving Skills By Overcoming Learning Bottlenecks, Anita Lee-Post
Developing Numeracy And Problem-Solving Skills By Overcoming Learning Bottlenecks, Anita Lee-Post
Marketing & Supply Chain Faculty Publications
Purpose The purpose of this paper is to present an educational approach to elevating problem-solving and numeracy competencies of business undergraduates to meet workplace demand. The approach is grounded in the theory of constraints following the Decoding the Discipline model. The authors investigated a cognitive bottleneck involving problem modeling and an affective bottleneck concerning low self-efficacy of numeracy and designed specific interventions to address both bottlenecks simultaneously. The authors implemented the proposed approach in an introductory level analytics course in business operations.
Design/methodology/approachThe authors use an empirical study to evaluate the effectiveness of the proposed approach in addressing deficiency in …
Using Reflection To Facilitate Writing Knowledge Transfer In Upper-Level Materials Science Courses, Jennifer C. Mallette, Harold Ackler
Using Reflection To Facilitate Writing Knowledge Transfer In Upper-Level Materials Science Courses, Jennifer C. Mallette, Harold Ackler
English Literature Faculty Publications and Presentations
When students enter upper-level engineering courses, they may bring with them unclear or inconsistent approaches to writing in engineering. Influenced by their past experiences with writing, students encountering engineering genres such as reports and proposals may struggle to write successfully. They may struggle in part because of the messiness inherent in writing knowledge transfer: a student who successfully completed freshman composition may still be unable to transfer skills, habits of mind, and approaches to writing from that setting to engineering because the rhetorical situations look drastically different. Yancey, Robertson, and Taczak define transfer as a “dynamic rather than a static …
A Multi-Institutional Analysis Of Instructional Beliefs And Practices In Gateway Courses To The Sciences, Joseph J. Ferrare
A Multi-Institutional Analysis Of Instructional Beliefs And Practices In Gateway Courses To The Sciences, Joseph J. Ferrare
Educational Policy Studies and Evaluation Faculty Publications
This paper builds on previous studies of instructional practice in science, technology, engineering, and mathematics courses by reporting findings from a study of the relationship between instructors’ beliefs about teaching and learning and their observed classroom practices. Data collection took place across six institutions of higher education and included in-depth interviews with 71 instructors and more than 140 hours of classroom observations using the Teaching Dimensions Observation Protocol. Thematic coding of interviews identified 31 distinct beliefs that instructors held about the ways students best learn introductory concepts and skills in these courses. Cluster analysis of the observation data suggested that …
Closing Banquet Eulogies, Russell Howell, C. Ray Rosentrater
Closing Banquet Eulogies, Russell Howell, C. Ray Rosentrater
ACMS Conference Proceedings 2019
A tribute to David Lay; A tribute to John Roe
From Perfect Shuffles To Landau's Function, Brian D. Beasley
From Perfect Shuffles To Landau's Function, Brian D. Beasley
ACMS Conference Proceedings 2019
If we view a given shuffle of a deck of cards as a permutation, then repeatedly applying this same shuffle will eventually return the deck to its original order. In general, how many steps will that take? What happens in the case of so-called perfect shuffles? What type of shuffle will require the greatest number of applications before restoring the original deck? This talk will address those questions and provide a brief history of the work of Edmund Landau on the maximal order of a permutation in the symmetric group on n objects. It will also note some recent progress …
Developing Mathematicians: The Benefits Of Weaving Spiritual And Disciplinary Discipleship, Patrick Eggleton
Developing Mathematicians: The Benefits Of Weaving Spiritual And Disciplinary Discipleship, Patrick Eggleton
ACMS Conference Proceedings 2019
Part of the goal of discipleship at the Christian university is for faith development to seep into the hearts of the students. Similarly, the goal of the development of future mathematicians is for the mathematical proficiencies, the practices like problem solving and analytical reasoning that permeate each of the courses, to seep into the hearts of our majors. This presentation shares how the weaving of our spiritual and disciplinary discipleship efforts benefits the faith development of our students while also helping them to think like a mathematician.
The Applicability Of Mathematics And The Naturalist Die, Ricardo J. Cordero-Soto
The Applicability Of Mathematics And The Naturalist Die, Ricardo J. Cordero-Soto
ACMS Conference Proceedings 2019
Philosopher and Christian apologist William Lane Craig has proposed a valid deductive argument for God’s existence that is rooted in the applicability of mathematics to the physical universe. This argument was presented by Craig during a debate with philosopher and atheist Alex Rosenberg. During the debate, Rosenberg presented a rebuttal to the soundness of this argument by appealing to chance as an explanation to the applicability of mathematics to the physical universe. In this talk, the presenter will discuss how the naturalist die is unable to produce “chance application” of mathematics while defending the soundness of the argument in light …
Analyzing The Impact Of Active Learning In General Education Mathematics Courses, Amanda Harsy, Marie Meyer, Michael Smith, Brittany Stephenson
Analyzing The Impact Of Active Learning In General Education Mathematics Courses, Amanda Harsy, Marie Meyer, Michael Smith, Brittany Stephenson
ACMS Conference Proceedings 2019
This talk shares the preliminary results of a study that explores the general perceptions and attitudes of students in general education mathematics courses taught using primarily active learning- based methods (like group work, projects, and discovery learning), and compares them with those enrolled in a general education mathematics course taught in a more traditional and lecture-based method. We present an analysis of survey data collected throughout the semester, which explores the disposition and mindset of students, their mathematical confidence and anxiety, and perceptions of pedagogical methods used for the teaching of mathematics. We also explored how these perceptions and dispositions …
Faith, Mathematics, And Science: The Priority Of Scripture In The Pursuit And Acquisition Of Truth, Bob Mallison
Faith, Mathematics, And Science: The Priority Of Scripture In The Pursuit And Acquisition Of Truth, Bob Mallison
ACMS Conference Proceedings 2019
This research will examine some approaches for identifying truth as well as some issues involved in recognizing reliable sources of information. We will proceed from a decidedly Christian perspective including the conviction that God created an orderly universe (and that studying nature provides valuable information about Him) and that His Word, the Bible, even more clearly expresses in- formation about Him. We will discuss some of the essential tools used by mathematicians and scientists for the discovery of truth – namely, models. We will examine some valuable models from history, and briefly discuss that as additional scientific information became available, …
Lagrange's Interpolation, Chinese Remainder, And Linear Equations, Jesús Jiménez
Lagrange's Interpolation, Chinese Remainder, And Linear Equations, Jesús Jiménez
ACMS Conference Proceedings 2019
Consider a finite set of points {(x1, y1), (x2, y2), . . . , (xk , yk )} in R2. The Lagrange’s interpolation problem is to find a polynomial p(x) of degree k − 1 satisfying p(xi) = yi for 1 ≤ i ≤ k. We will recall the solution to Lagrange’s interpolation problems as an instance of the Chinese Remainder Theorem. Next, we will show that a similar approach can be used to construct solutions to a system of linear equations.
Factors That Motivate Students To Learn Mathematics, Dave Klanderman, Sarah Klanderman, Benjamin Gliesmann, Josh Wilkerson, Patrick Eggleton
Factors That Motivate Students To Learn Mathematics, Dave Klanderman, Sarah Klanderman, Benjamin Gliesmann, Josh Wilkerson, Patrick Eggleton
ACMS Conference Proceedings 2019
What motivates some students to want to learn mathematics while others do not share similar motivation? Are these factors intrinsic, extrinsic, or a combination of both? To answer these questions, we adapted a survey originally developed by Tapia (1996) and later shortened by Lim and Chapman (2015). We administered the survey in multiple middle schools, a high school, and multiple colleges and universities. We obtained over 100 completed surveys for each of these educational levels. This presentation offers an analysis of these data, including descriptive statistics and confidence intervals for each educational level. For the college and university sample, we …
Marin Mersenne: Minim Monk And Messenger; Monotheism, Mathematics, And Music, Karl-Dieter Crisman
Marin Mersenne: Minim Monk And Messenger; Monotheism, Mathematics, And Music, Karl-Dieter Crisman
ACMS Conference Proceedings 2019
If you have taught a number theory course or even watched the mathematical news, you know that occasionally a new (and enormous) “Mersenne prime” is discovered. Those who have introduced students to the prehistory of calculus may know of a certain Marin Mersenne as the interlocutor who drew Fermat and Descartes (and others) out to discuss their methods of tangents (and more). But who was Mersenne, and what did he actually do? This presentation will give an overview of his times, his role in the history of science, and his own writings. We’ll especially look into why a monk from …
Addressing Challenges In Creating Math Presentations, David Schweitzer
Addressing Challenges In Creating Math Presentations, David Schweitzer
ACMS Conference Proceedings 2019
When it comes to composing presentation slides with extensive mathematical content, each of the slide creation platforms has at least one significant drawback. Whether it is Beamer and its steep learning curve, PowerPoint and its relative inefficiency with math, Google Slides and its complete lack of math capabilities, or some other platform, no one tool single-handedly offers an ideal solution. Additionally, if users desire creative flexibility, such as the ability to easily change fonts or colors, the platforms’ respective limitations can become even more pronounced. In a project that has been well suited for undergraduate research, the presenter and his …
Is Mathematical Truth Time Dependent? Comments From A Paper By Judith Grabiner, Richard Stout
Is Mathematical Truth Time Dependent? Comments From A Paper By Judith Grabiner, Richard Stout
ACMS Conference Proceedings 2019
Judith Grabiner, a renowned historian of mathematics, has written many papers related to signifi- cant changes in the content and nature of analysis, from the 17th through the 19th century. In her paper “Is Mathematical Truth Time Dependent?” Professor Grabiner gives several reasons for the changing nature and requirements in rigor that occurred over this period of two hundred years. In this talk I will briefly summarize her conclusions, particularly in light of how they might influence a Christian perspective on mathematics.
Numerical Range Of Toeplitz Matrices Over Finite Fields, Derek Thompson, Maddison Guillaume Baker, Amish Mishra
Numerical Range Of Toeplitz Matrices Over Finite Fields, Derek Thompson, Maddison Guillaume Baker, Amish Mishra
ACMS Conference Proceedings 2019
We characterize the kth numerical range of all n×n Toeplitz matrices with a constant main diagonal and another single, non-zero diagonal, where the matrices are over the field Zp[i], with p a prime congruent to 3 mod 4. We find that, for k ∈ Z∗, the kth numerical range is always equal to Zp[i] with the exception of the scaled identity. We also use similar techniques to discover a general connection between the 0th numerical range and the kth numerical range. Lastly, we conclude with a conjecture regarding the general numerical range of all triangular Toeplitz matrices.
Charles Babbage And Mathematical Aspects Of The Miraculous, Courtney K. Taylor
Charles Babbage And Mathematical Aspects Of The Miraculous, Courtney K. Taylor
ACMS Conference Proceedings 2019
Charles Babbage is widely known as the father of the computer, but he is lesser known for his contributions to natural theology and apologetics. In 1837 Babbage wrote the Ninth Bridgewater Treatise in response to a series of writings concerning faith and science that had been commissioned by the Royal Society. Among the remarkable features of the Ninth Bridgewater are mathematical analogies concerning the miraculous. We will explore these ideas, which range from the difference engine to a family of fourth degree curves, illustrating that for Babbage, miracles are not exceptions to natural law, but rather instances of a larger …
Replacing Remedial Mathematics With Corequisites In General Education Mathematics Courses, Alana Unfried
Replacing Remedial Mathematics With Corequisites In General Education Mathematics Courses, Alana Unfried
ACMS Conference Proceedings 2019
Many colleges and universities offer courses, such as Remedial Mathematics or Elementary Algebra, that underprepared students must complete before they can take a college-level mathematics course. However, nationally there is a push to replace remedial mathematics courses with corequisite courses instead. This design allows students to enter directly into their general education mathematics course instead of first overcoming the barrier of a remedial course. Corequisite mathematics courses were implemented across the 23-campus California State University system during the 2018-19 academic year. I will discuss the design and implementation of a corequisite structure at California State University, Monterey Bay, in particular …
Maximum Elements Of Ordered Sets And Anselm's Ontological Argument, Doug Ward
Maximum Elements Of Ordered Sets And Anselm's Ontological Argument, Doug Ward
ACMS Conference Proceedings 2019
I will present a simple theorem concerning maximal elements of a set T endowed with an ordering “>” that is antisymmetric, i.e., if A and B are elements of T , we cannot have both A > B and B > A. A special case of this theorem is a simple version of the ontological argument, one of the classical proofs for the existence of God.
Models, Values, And Disasters, Michael H. Veatch
Models, Values, And Disasters, Michael H. Veatch
ACMS Conference Proceedings 2019
Decision-support models have values embedded in them and are subjective to varying degrees. Philosophical and ethical perspectives on operations research models are used to describe this subjectivity. Approaches to model building are then suggested that take into account subjectivity and values. For the decisions to reflect the right values, the model must align with the decision-maker’s values. I argue that it is appropriate and important for Christians applying mathematical models to be keenly aware of decision-maker’s values and seek to reflect them in the model. Disaster response planning is presented as an example where incorporating values is challenging. The responding …
Computer Science: Creating In A Fallen World, Russell Tuck
Computer Science: Creating In A Fallen World, Russell Tuck
ACMS Conference Proceedings 2019
When God created people in his image, he gave us the gift of sub-creation. One of the great joys of Computer Science is exercising that gift to create tools : software and computer systems that serve people and solve problems. Like all God’s gifts, he charges us to exercise the gift of sub-creation wisely and for good. While there are many obvious implications and challenges, being good stewardship of users’ time and reducing discrimination are particularly relevant and perhaps less obvious examples. Although computer scientists exercise the gift of sub-creation, we do so as fallen people in a fallen world. …
Overcoming Stereotypes Through A Liberal Arts Math Course, Jessica Hamm
Overcoming Stereotypes Through A Liberal Arts Math Course, Jessica Hamm
ACMS Conference Proceedings 2019
"I'm just not a math person.” We’ve heard this comment countless times from our students. It is a mentality that both paralyzes and strangely comforts them. In this talk I will describe how I use my liberal arts Joy of Mathematics course to help students address and overcome stereotypes. In particular, I will discuss a specific assignment as well as share some student comments and perspectives on how this course helped change their viewpoint on more than just math.
Teaching Mathematics At An African University -- My Experience, Kathleen Lewis
Teaching Mathematics At An African University -- My Experience, Kathleen Lewis
ACMS Conference Proceedings 2019
For eight years (2010-2018), I was the head of the math department at The University of The Gambia, a small, new (started in 1999) university in a very small, mostly Muslim, West African country that most Americans have never heard of. During that time, a number of other Americans and Europeans came to teach for shorter periods of time. I will talk about what this experience was like for us, both the good and the bad. I will describe the possibilities for others to spend either a sabbatical or an extended period of time at such a university and suggest …
A Unifying Project For A Tex/Cas Course, Andrew Simoson
A Unifying Project For A Tex/Cas Course, Andrew Simoson
ACMS Conference Proceedings 2019
We describe a CAS and TEX usage course for mathematics majors. As a unifying project, each student selects two primes p and q with pq < 100, explores mathematical pq ideas, and generates associated graphs, figures, tables for a final TEX paper. We summarize several pq explorations: stu- dents render page pq from Schwartz’s picture book about primes, You Can Count on Monsters, via Mathematica and TEX’s picture environment; students generate fractal images of pq; and students discover the primes of the ring Z r√pql.
Thinking Beautifully About Mathematics: A View Of Mathematics As The Science Of Measurable Orders, James M. Turner
Thinking Beautifully About Mathematics: A View Of Mathematics As The Science Of Measurable Orders, James M. Turner
ACMS Conference Proceedings 2019
At Calvin College, First Year Students are required to take a section of our Discovering the Christian Mind course during our January term. For the past 3 years, I have taught a section of this course titled Thinking Beautiful ly about Mathematics. In it, I explored, with the students, various areas of mathematics, as well as how mathematicians have explored them, while addressing such questions as “Is mathematics invented or discovered?” and “Why is mathematics unreasonably effective?” Ultimately, we look to identify ways and characterizations for how beauty displays itself in mathematics and how and it what ways beauty is …
Introduction (2019), Association Of Christians In The Mathematical Sciences
Introduction (2019), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2019
No abstract provided.