ENGLISH

Mathematical themes in a first-year seminar

By Jennifer Lynne Bowen (editor); Mark Kozek (editor); Pamela B. Pierce (editor); (Professor of mathema

Book information

Publisher
MAA
Year
2021
ISBN
9780883852101, 0883852101
Language
english
Format
PDF
Filesize
7 MB (7353081 bytes)
Series
MAA notes
Pages
\379
Time added
2022-04-02 11:11:40

Description

The purpose of this volume is to share with undergraduate mathematics faculty ideas for teaching a mathematically-oriented first-year seminar (FYS). Our vision is that this volume, containing 36 unique FYSs taught by authors from small liberal arts colleges to large research universities, will serve as a handbook for faculty members interested in finding new topics, course structures, activities, or assignments to incorporate into any writing-intensive first-year experience course containing mathematical content or mathematical or quantitative themes. The book begins with a chapter written by the editors highlighting important things to keep in mind when teaching an FYS. The remainder of the volume is arranged by mathematical theme: Cryptography; Gambling, Game Shows, and Game Theory; Mathematical Modeling and Data; Mathematics in Politics, Equity, and Social Justice; Mathematics in Popular Culture and History; Mathematics, Art, and the Natural World; Proofs and Problem Solving; and Quantitative Literacy. In each chapter, you will find a collection of articles describing the experiences of faculty who have successfully taught mathematically-oriented FYSs related to the chapter's featured theme. Some articles focus on a mathematical theme that will hold student and faculty interest for an entire semester. Other pieces describe a specific collection of resources and activities that made for a cohesive unit on a mathematical theme. Most articles focus on a few in-class activities or writing assignments that worked well in their FYS while incorporating learning objectives, the specifics of carrying out the activities or assignments, and/or the assessment tools utilized. In many cases, authors have included entire assignments or assessment tools, either in the body or the appendix of their article. In fact, you will find the following course features described in the articles that follow: Assessment Tools; Class Activities; Course Schedule; Field Trips and Guest Lectures; Linked Course; Projects; Readings and Films; Student Helpers; and Writing Assignments. Because each author has included as many details as possible, our hope is that a reader thinks of each piece as a ``how-to" article, and feels confident adapting the ideas for their own FYS. Mathematical Themes in a First-Year Seminar Contents Quick Reference Guide Introduction Advice for First-Year Seminar Instructors Part I Cryptography 1 Developing Research, Writing, and SpeakingSkills Through a Seminar in Cryptology 2 Secrecy and Security Part II Gambling, Game Shows, and Game Theory 3 The Mathematics and Impacts of Gambling 4 Wheels and Deals:A First-Year Seminar Based on Game Shows 5 Game Theory in Popular Culture: A First-Year Writing Seminar 6 A First-Year Seminar on Decision Making 7 “I Signed Up For A First-Year Seminar, But I Got A Math Class": The Challenges of Chance Part III Mathematical Modeling and Data 8 Measuring Sustainability 9 An Interdisciplinary Course to Engage First-Year Students in Biomathematical Research 10 A First-Year Seminar Exploring the Mathematics of Sports Rankings 11 Introducing Graph Theory in a First-Year Seminar on Network Science Part IV Mathematics in Politics, Equity, and Social Justice 12 Math and Politics: An Interdisciplinary First-Year Seminar 13 Mathematopia: A Humanistic Math-Themed Freshman Seminar 14 A First-Seminar Course on the Mathematics of Equity 15 Exploring Immigration Through Statistics and Experiential Learning 16 A Civil Right: Math Anxiety to Math Literacy Part V Mathematics in Pop Culture and History 17 Mathematical Identities: Diverging from the Stereotypes 18 Mathematics and the Pursuit of Happiness 19 Math in Pop Culture: A First-Year Writing Seminar on Mathematics 20 A First-Year Seminar on STEM Breakthroughs and Controversies 21 Uncovering the Hidden Figures 22 Culture, Science, and Mathematics in the pre-Columbian Americas Part VI Mathematics, Art, and the Natural World 23 The Art of Mathematics as a First-Year Seminar 24 The Magic of Chaos 25 A First-Year Seminar on Symmetry, from a Mathematical and Interdisciplinary Point of View 26 The Mathematics of Chaos as a First-Year Seminar 27 The Intersection of Mathematics, Art, Technology, and Teaching the Value of a Liberal Education Part VII Proofs and Problem Solving 28 Math Without Math: Unraveling Riddles and Solving Problems 29 Mathematics as a Creative Art: A Seven-Week Seminar 30 A Writing-Intensive FYS Course on Recreational Mathematics 31 Technical Writing: A Mathematical Approach Part VIII Quantitative Literacy 32 Nine Out of Ten Seniors Recommend this First-Year Seminar: Statistics in the Real World 33 A First-Year Seminar on Lies, Damned Lies, and Statistics 34 Why Do We Choose to Do What We Do? Using Statistics to Investigate Our Actions 35 The Signal and the Noise: Why Numeracy Really Matters 36 My Hometown Exploration Unit in a First-Year Seminar

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