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Mathematics

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Articles 391 - 420 of 1338

Full-Text Articles in Science and Mathematics Education

A Pre-Calculus Controversy: Infinitesimals And Why They Matter, Karl-Dieter Crisman Jun 2017

A Pre-Calculus Controversy: Infinitesimals And Why They Matter, Karl-Dieter Crisman

ACMS Conference Proceedings 2017

In teaching calculus, it is not uncommon to mention the controversy over the role of infinitesimals with Newton's and Leibniz' calculus, including Berkeley's objections. In a history of mathematics course, it is a required topic! But rancor over infinitesimals and their role in mathematics predates calculus- so much so that a popular new book is dedicated to this topic. In this talk, I will discuss not just the relevant controversies between Cavalieri and the Je

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The Resolved And Unresolved Conjectures Of R.D. Carmichael, Brian D. Beasley Jun 2017

The Resolved And Unresolved Conjectures Of R.D. Carmichael, Brian D. Beasley

ACMS Conference Proceedings 2017

Even before heading to Princeton University to work on his doctoral degree, Robert Daniel Carmichael started influencing the path of number theory in the 20th century. From his study of Euler's totient function to his discovery of the first absolute pseudoprime, he set the stage for years of productive research. This talk will present a brief overview of Carmichael's life, including his breadth of mathematical interests and his service on behalf of the Mathematical Association of America. It will focus mainly on his two most famous conjectures- which one has been settled, and which one remains open to this day?

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"Big Idea" Reflection Assignments For Learning And Valuing Mathematics, Jeremy Case, Mark Colgan Jun 2017

"Big Idea" Reflection Assignments For Learning And Valuing Mathematics, Jeremy Case, Mark Colgan

ACMS Conference Proceedings 2017

While participating in a Faculty Learning Community, we explored the "big questions" we wanted our students to take away from our mathematics courses. We called these questions the Big Ideas of the course and developed a Big Ideas Reflection Assignment, which we continue to assign at the end of each of our courses. Students are able to demonstrate understanding and application of their learning as well as their values and appreciation of mathematics. The assignment encourages students to move beyond a focus on technique and symbolic manipulations towards a broader and more holistic approach, including making connections between their learning …

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Mentoring As A Statistical Educator In A Christian College, L. Marlin Eby Jun 2017

Mentoring As A Statistical Educator In A Christian College, L. Marlin Eby

ACMS Conference Proceedings 2017

In this paper, I present principles based on more than thirty years of intentional mentoring as a statistical educator in a Christian college. I believe this mentoring has been enhanced due to the setting- a Christian college, and the discipline - statistics. I discuss distinctives of the Christian college setting that positively impact mentoring in any discipline with respect to the mentor, the mentee, and the pervading campus atmosphere. I focus on mentoring as a statistical educator by specifically considering the following: attracting students to the discipline of statistics, preparing students for careers using statistics, and preparing students for graduate …

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The Daily Question: Building Student Trust And Interest In Undergraduate Introductory Probability And Statistics Courses, Matthew A. Hawks Jun 2017

The Daily Question: Building Student Trust And Interest In Undergraduate Introductory Probability And Statistics Courses, Matthew A. Hawks

ACMS Conference Proceedings 2017

Introducing probability or statistics to disinterested undergraduate students is challenging. Adding faith in such a classroom at a secular institution only increases the complexity. We share an unobtrusive way to build trust with students, creating a medium to both naturally share your faith and have your students look forward to attending each class. The context is the United States Naval Academy, a four-year undergraduate institution with an emphasis on leader development. In addition to a calculus sequence, Humanities majors enroll in Probability with Naval Applications or Introductory Statistics. These sophomores or juniors are split between those who have no intention …

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The Topology Of Harry Potter: Exploring Higher Dimensions In Young Adult Fantasy Literature, Sarah Klanderman, Alexa Schut, Dave Klanderman, William Boerman-Cornell Jun 2017

The Topology Of Harry Potter: Exploring Higher Dimensions In Young Adult Fantasy Literature, Sarah Klanderman, Alexa Schut, Dave Klanderman, William Boerman-Cornell

ACMS Conference Proceedings 2017

As one of the most beloved series in children’s literature today, the Harry Potter books excite students of all ages with the adventures of living in a magical world. Magical objects (e.g., bottom-less handbags, the Knight Bus, time turners, and moving portraits) can inspire generalizations to mathematical concepts that would be relevant in an undergraduate geometry or topology course. Intuitive explanations for some of the magical objects connect to abstract mathematical ideas. We
offer a typology with a total of five categories, including Three Dimensions in Two Dimensions, Higher Dimensions in Three Dimensions, Two and Three Dimensional Movement, Higher Dimensional …

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Start A Math Teacher Circle: Connect K-12 Teachers With Engaging, Approachable, And Meaningful Mahtematical Problems, Thomas Clark, Mike Janssen, Amanda Harsy, Dave Klanderman, Mandi Maxwell, Sharon Robbert Jun 2017

Start A Math Teacher Circle: Connect K-12 Teachers With Engaging, Approachable, And Meaningful Mahtematical Problems, Thomas Clark, Mike Janssen, Amanda Harsy, Dave Klanderman, Mandi Maxwell, Sharon Robbert

ACMS Conference Proceedings 2017

Many K-12 math teachers are not ready to teach from a conceptual and inquiry-oriented per

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Ten Mathematicians Who Recognized God's Hand In Their Work (Part 2), Dale Mcintyre Jun 2017

Ten Mathematicians Who Recognized God's Hand In Their Work (Part 2), Dale Mcintyre

ACMS Conference Proceedings 2017

Scottish philosopher David Hume (1711-1776) once observed that "Whoever is moved by faith to assent to [the Christian religion], is conscious of a continued miracle in his own person, which subverts all the principles of his understanding, and gives him a determination to believe what is most contrary to custom and experience." Evidently Hume's cynical pronouncement did not apply to Descartes, Newton, Riemann, and other profound thinkers who believed God had commissioned and equipped them to glorify Him in their pursuit of truth through mathematics - And based on their extraordinary achievements the principles of their understanding do not appear …

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Math Department Newsletter, 2016-2017, Mathematics Department Jun 2017

Math Department Newsletter, 2016-2017, Mathematics Department

Mathematics Newsletter

No abstract provided.

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Introduction (2017), Association Of Christians In The Mathematical Sciences Jun 2017

Introduction (2017), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2017

No abstract provided.

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Paper Abstracts (2017), Association Of Christians In The Mathematical Sciences Jun 2017

Paper Abstracts (2017), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2017

No abstract provided.

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Conference Schedule (2017), Association Of Christians In The Mathematical Sciences May 2017

Conference Schedule (2017), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2017

No abstract provided.

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Table Of Contents (2017), Association Of Christians In The Mathematical Sciences May 2017

Table Of Contents (2017), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2017

No abstract provided.

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Association Of Christians In The Mathematical Sciences Proceedings 2017, Association Of Christians In The Mathematical Sciences May 2017

Association Of Christians In The Mathematical Sciences Proceedings 2017, Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2017

The conference proceedings of the Association of Christians in the Mathematical Sciences biannual conference, May 31-June 2, 2017 at Charleson Southern University.

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English Language Learners In The Mathematics Classroom, Julia Mccormick May 2017

English Language Learners In The Mathematics Classroom, Julia Mccormick

Senior Honors Projects

Mathematics is often considered a universal language. Most of us have heard this statement from a math teacher at some point throughout our academic careers. However, for students moving to the United States from another country with minimal fluency in English, this is clearly not the case. They may walk into math class, a subject area in which they may have excelled in their native country, and see the words “polynomial”, “coefficient”, and “differentiate” on the board. Regardless of their experiences in their native language, there are disconnects and cultural differences between languages and skills emphasized that prevents mathematics from …

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Roman Domination In Complementary Prisms, Alawi I. Alhashim May 2017

Roman Domination In Complementary Prisms, Alawi I. Alhashim

Electronic Theses and Dissertations

The complementary prism GG of a graph G is formed from the disjoint union of G and its complement G by adding the edges of a perfect match- ing between the corresponding vertices of G and G. A Roman dominating function on a graph G = (V,E) is a labeling f : V(G) → {0,1,2} such that every vertex with label 0 is adjacent to a vertex with label 2. The Roman domination number γR(G) of G is the minimum f(V ) = Σv∈V f(v) over all such functions of G. We study the Roman domination number of complementary prisms. …

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Student-Created Test Sheets, Samuel Laderach Apr 2017

Student-Created Test Sheets, Samuel Laderach

Honors Projects

Assessment plays a necessary role in the high school mathematics classroom, and testing is a major part of assessment. Students often struggle with mathematics tests and examinations due to math and test anxiety, a lack of student learning, and insufficient and inefficient student preparation. Practice tests, teacher-created review sheets, and student-created test sheets are ways in which teachers can help increase student performance, while ridding these detrimental factors. Student-created test sheets appear to be the most efficient strategy, and this research study examines the effects of their use in a high school mathematics classroom.

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"Returning To The Root" Of The Problem: Improving The Social Condition Of African Americans Through Science And Mathematics Education, Vanessa R. Pitts Bannister, Julius Davis, Jomo Mutegi, Latasha Thompson, Deborah Lewis Apr 2017

"Returning To The Root" Of The Problem: Improving The Social Condition Of African Americans Through Science And Mathematics Education, Vanessa R. Pitts Bannister, Julius Davis, Jomo Mutegi, Latasha Thompson, Deborah Lewis

Catalyst: A Social Justice Forum

The underachievement and underrepresentation of African Americans in STEM (Science, Technology, Engineering and Mathematics) disciplines have been well documented. Efforts to improve the STEM education of African Americans continue to focus on relationships between teaching and learning and factors such as culture, race, power, class, learning preferences, cultural styles and language. Although this body of literature is deemed valuable, it fails to help STEM teacher educators and teachers critically assess other important factors such as pedagogy and curriculum. In this article, the authors argue that both pedagogy and curriculum should be centered on the social condition of African Americans – …

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Pythagorean Approximations For Lego: Merging Educational Robot Construction With Programming And Data Analysis, Ronald I. Greenberg Apr 2017

Pythagorean Approximations For Lego: Merging Educational Robot Construction With Programming And Data Analysis, Ronald I. Greenberg

Computer Science: Faculty Publications and Other Works

Abstract. This paper can be used in two ways. It can provide reference information for incorporating diagonal elements (for bracing or gear meshing) in educational robots built from standard LEGO kits. Alternatively, it can be used as the basis for an assignment for high school or college students to recreate this information; in the process, students will exercise skills in both computer programming and data analysis. Using the paper in the second way can be an excellent integrative experience to add to an existing course; for example, the Exploring Computer Science high school curriculum concludes with the units “Introduction to …

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A Study Of Perceptions Of Math Mindset, Math Anxiety, And View Of Math By Young Adults, Tami L. Hocker Apr 2017

A Study Of Perceptions Of Math Mindset, Math Anxiety, And View Of Math By Young Adults, Tami L. Hocker

Doctor of Education (Ed.D)

This study’s purpose was to determine whether instruction in growth math mindset led to change in perceptions of 18-22-year-old at-risk students in math mindset, math anxiety, and view of math. The experimental curriculum was created by the researcher with the guidance of experts in mathematics and education and focused on the impact of brain growth and learning supported by positive math mindset. Young adult public charter high school at-risk students were surveyed before and after completion of the experimental intervention to measure their perceptions in the domains of Math Mindset, Math Anxiety, and View of Math. The results revealed significant …

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Polygons, Pillars And Pavilions: Discovering Connections Between Geometry And Architecture, Sean Patrick Madden Mar 2017

Polygons, Pillars And Pavilions: Discovering Connections Between Geometry And Architecture, Sean Patrick Madden

Journal of Catholic Education

Crowning the second semester of geometry, taught within a Catholic middle school, the author's students explored connections between the geometry of regular polygons and architecture of local buildings. They went on to explore how these principles apply famous buildings around the world such as the monuments of Washington, D.C. and the elliptical piazza of Saint Peter's Basilica at Vatican City within Rome, Italy.

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3d Printing For Mathematics Education, Cecile M. Piret Mar 2017

3d Printing For Mathematics Education, Cecile M. Piret

TechTalks

3D printing is particularly well-suited for teaching concepts of mathematics. We (Drs. Piret and Ellis) have started using 3D printers in a calculus 3 classroom. Our goals are to analyze the impact of the printers on students' understanding and motivation towards calculus, and to further incorporate this new technology in our teaching of mathematics. In this talk, we will show a few examples of projects that were presented to the students in our classes, and we will try to motivate you to also use the printers in your classrooms.

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16, Dan Mcquillan Feb 2017

16, Dan Mcquillan

Journal of Humanistic Mathematics

This 15 word poem suggests that the reader count the words of the poem. Since every line has half as many words as the previous line, and since the poem urges the reader to keep counting forever, one imagines a total of 16 words.

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The Battle Against Malaria: A Teachable Moment, Randy K. Schwartz Feb 2017

The Battle Against Malaria: A Teachable Moment, Randy K. Schwartz

Journal of Humanistic Mathematics

Malaria has been humanity’s worst public health problem throughout recorded history. Mathematical methods are needed to understand which factors are relevant to the disease and to develop counter-measures against it. This article and the accompanying exercises provide examples of those methods for use in lower- or upper-level courses dealing with probability, statistics, or population modeling. These can be used to illustrate such concepts as correlation, causation, conditional probability, and independence. The article explains how the apparent link between sickle cell trait and resistance to malaria was first verified in Uganda using the chi-squared probability distribution. It goes on to explain …

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Mathematics For Human Flourishing, Francis Su Jan 2017

Mathematics For Human Flourishing, Francis Su

All HMC Faculty Publications and Research

Why does the practice of mathematics often fall short of our ideals and hopes? How can the deeply human themes that drive us to do mathematics be channeled to build a more beautiful and just world in which all can truly flourish?

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The Mean Value Theorem, Dave Ruch Jan 2017

The Mean Value Theorem, Dave Ruch

Analysis

No abstract provided.

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Introduction To The Special Issue On Teaching Inquiry (Part I): Illuminating Inquiry, Brian P. Katz, Elizabeth Thoren Jan 2017

Introduction To The Special Issue On Teaching Inquiry (Part I): Illuminating Inquiry, Brian P. Katz, Elizabeth Thoren

Mathematics: Faculty Scholarship & Creative Works

We provide an introduction to the special issue on Teaching Inquiry, through its motivation and themes. We focus here on Part I: Illuminating Inquiry.

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Introduction To The Special Issue On Teaching Inquiry (Part Ii): Implementing Inquiry, Brian P. Katz, Elizabeth Thoren Jan 2017

Introduction To The Special Issue On Teaching Inquiry (Part Ii): Implementing Inquiry, Brian P. Katz, Elizabeth Thoren

Mathematics: Faculty Scholarship & Creative Works

We provide an introduction to the special issue on Teaching Inquiry, through its motivation and themes, focusing here on Part II: Implementing Inquiry.

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2017-2018 Graduate Handbook For The Master Of Arts In Educational Mathematics, Otterbein Office Of Graduate Programs Jan 2017

2017-2018 Graduate Handbook For The Master Of Arts In Educational Mathematics, Otterbein Office Of Graduate Programs

Graduate School

Graduate Handbook on the MAEM Program at Otterbein University.

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Investigating Difference Equations, Dave Ruch Jan 2017

Investigating Difference Equations, Dave Ruch

Discrete Mathematics

No abstract provided.

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