MAA Pavilion Events at MAA MathFest 2015

Attending MAA MathFest this August?
Stop by the MAA Pavilion in the exhibit hall
and check out these events and book deals.

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Apple iPad mini Raffle

Complete and return the MAA Centennial Sudoku found in your registration bag for a chance to win an Apple iPad mini. The puzzle must be turned in by 7 p.m. on Wednesday, August 5.

Student Discount

Show us your student ID and receive 10% off book purchases.

(cannot be combined with any other discount)

MAA Bucks

Check your registration bag for your MAA Bucks. Use it towards your book purchases of $50 or more. (cannot be combined with any other discount)

3 Books. 3 Days.

Thursday at 2 p.m.: $4 | Friday at 3:30 p.m.: $5 | Saturday at 10:30 a.m.: $6

I, Mathematician Release Party

Thursday at 3 p.m.

Join us for wine and cheese and meet some of the book's contributors.

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MAA Press Launch

Friday at 2 p.m.

You are invited to our launch party. Join us for a cake celebration and browse our new titles.

New Textbook: An Invitation to Real Analysis

An Invitation to Real Analysis
by Luis F. Moreno
List: $75.00
MAA Member: $60.00

An Invitation to Real Analysis is written both as a stepping stone to higher calculus and analysis courses, and as foundation for deeper reasoning in applied mathematics. This book also provides a broader foundation in real analysis than is typical for future teachers of secondary mathematics. In connection with this, within the chapters, students are pointed to numerous articles from The College Mathematics Journal and The American Mathematical Monthly. These articles are inviting in their level of exposition and their wide-ranging content.

Axioms are presented with an emphasis on the distinguishing characteristics that new ones bring, culminating with the axioms that define the reals. Set theory is another theme found in this book, beginning with what students are familiar with from basic calculus. This theme runs underneath the rigorous development of functions, sequences, and series, and then ends with a chapter on transfinite cardinal numbers and with chapters on basic point-set topology.

Differentiation and integration are developed with the standard level of rigor, but always with the goal of forming a firm foundation for the student who desires to pursue deeper study. A historical theme interweaves throughout the book, with many quotes and accounts of interest to all readers.

Over 600 exercises and dozens of figures help the learning process. Several topics (continued fractions, for example), are included in the appendices as enrichment material. An annotated bibliography is included.

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Interested in an examination copy? Learn more here.

Now in Print! The Heart of Calculus

The Heart of Calculus: Explorations and Applications
Philip M. Anselone and John W. Lee
List Price: $60.00 | MAA Member Price: $48.00

This book contains enrichment material for courses in first and second year calculus, differential equations, modeling, and introductory real analysis. It targets talented students who seek a deeper understanding of calculus and its applications. The book can be used in honors courses, undergraduate seminars, independent study, capstone courses taking a fresh look at calculus, and summer enrichment programs. The book develops topics from novel and/or unifying perspectives. Hence, it is also a valuable resource for graduate teaching assistants developing their academic and pedagogical skills and for seasoned veterans who appreciate fresh perspectives.

The explorations, problems, and projects in the book impart a deeper understanding of and facility with the mathematical reasoning that lies at the heart of calculus and conveys something of its beauty and depth. A high level of rigor is maintained. However, with few exceptions, proofs depend only on tools from calculus and earlier. Analytical arguments are carefully structured to avoid epsilons and deltas. Geometric and/or physical reasoning motivates challenging analytical discussions. Consequently, the presentation is friendly and accessible to students at various levels of mathematical maturity. Logical reasoning skills at the level of proof in Euclidean geometry suffice for a productive use of the book.

There are 16 chapters in the book, divided about equally between pure and applied mathematics. The first three chapters are on fundamentals of differential calculus and the last three are on the monumental discoveries of Newton and Kepler on celestial motion and gravitation. The intervening chapters present significant topics in pure and applied mathematics chosen for their intrinsic interest, historical influence, and continuing importance. There is great flexibility in the choice of which chapters to cover and the order of coverage because chapters are essentially independent of each other.

Order Today

MAA Books Beat: New Calculus Textbook

by Steve Kennedy, MAA Senior Acquisitions Editor

What do you do at your school with a first–year student who scored a four or five in AP calculus in high school? There is, at least at Carleton, an awkward articulation between the coverage of the AP AB syllabus and our first-year calculus sequence.

For the first several weeks of our Calculus II class we are covering material that is, at least partially, in an AP calculus class: methods of integration; applications of the integral, including arc length and surface area; some elementary differential equations. But students who take Calculus I at Carleton haven’t seen any of this. It makes for a strange dynamic in the classroom: For some students everything is new and confusing; for others (the AP students) large parts are review. The former feel at a disadvantage, the latter a little bored.

We don’t really want to have two strands through our calculus sequence, one for students with AP experience and another for students who take all their calculus at Carleton. Several years ago we took the AP-experienced students and gave them a half-term course in modeling while the non-AP students took our standard Calculus II material. Then the two groups came together for the second half of the term to study sequences and series together. This turned out to be logistically difficult (and confusing to folks in other departments of the college), and we abandoned the experiment after a few years.

MAA Books Store: Buy 1 Get One 1/2 Off

Buy I, Mathematician and get 50% off* A Mathematician Comes of Age.

Hurry! This deal ends Tuesday, March 31.

I, Mathematician
Peter Casazza, Steven G. Krantz and Randi D. Ruden, Editors
List: $50.00 MAA Member: $40.00

Mathematicians have pondered the psychology of the members of our tribe probably since mathematics was invented, but for certain since Hadamard's The Psychology of Invention in the Mathematical Field. The editors asked two dozen prominent mathematicians (and one spouse thereof) to ruminate on what makes us different. The answers they got are thoughtful, interesting and thought-provoking.

A Mathematician Comes of Age
Steven G. Krantz
List: $60.00 MAA Member: $48.00

The book provides background, data, and analysis for understanding the concept of mathematical maturity. It turns the idea of mathematical maturity from a topic for coffee-room conversation to a topic for analysis and serious consideration.

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*Discount is off the list price. No code needed. To receive the discount, both items must be placed in your cart. Offer expires March 31, 2015 at midnight.

New MAA Textbook: Modeling Approach in Biology

by Steve Kennedy

When biology was primarily a descriptive science, biologists had little need of mathematical services (and our science). But a revolution has occurred—more precisely, is occurring—in biology, and the discipline is becoming increasingly mathematical and computational. In 2003, a report (Bio2010) from the National Academy of Sciences (NAS) set a goal of having biology undergraduates be quantitatively literate by 2010:

It is essential that biology undergraduates become quantitatively literate, studying the mathematical concepts of change, modeling, equilibria and stability, structure of a system, interactions among components, data and measurement, visualization, and algorithms. Every student should acquire the ability to analyze issues in these contexts in some depth, using analytical methods (e.g., pencil and paper) and appropriate computational tools. An appropriate course of study would include aspects of probability, statistics, discrete models, linear algebra, calculus and differential equations, modeling and programming.

Five years past 2010, the goal hasn't been met fully. The current state of affairs is well described in the draft CUPM Curriculum Guide. That report, besides enumerating biological and mathematical core competencies for biomathematics study, strongly urges foundational courses in modeling and data analysis as the beginning steps of such study.

And that brings me, finally, to my point. MAA Books has just released a book perfectly suited for that foundational modeling course, Jim Cornette and Ralph Ackerman’s Calculus for the life Sciences: A Modeling Approach. If you teach a life sciences calculus course, you may already be aware of the existence of this book, as draft versions have been on the Internet for several years. Reading this terrific and innovative book, you realize that it could have been written in reaction to the first sentence of the NAS report—it addresses, in a deep and significant way, every single mathematical concept listed in the quote above.

Chapter 1 is a primer on modeling in the biological realm, and biological modeling is the theme and frame for the entire book. The authors build models of bacterial growth, light penetration through a column of water, and dynamics of a colony of mold in the first few pages. In each case there is actual data that needs fitting. In the case of the mold colony, that data is a set of photographs of the colony growing on a ruled sheet of graph paper, and the students need to make their own approximations. Fundamental questions about the nature of mathematical modeling—trying to approximate a real-world phenomenon with an equation—are all laid out for the students to wrestle with.

Students intending to major in the life sciences now outnumber engineering and physical science majors in college and university Calculus I courses. Cornette and Ackerman’s textbook takes into account the needs of that plurality. And it does so not just by including examples and problems with a biological flavor—the authors have reimagined the entire year-long calculus course with the needs of biology students as the organizing principle. Thus, to mention just one example among many, your students using this book could get a substantial dose of discrete and continuous dynamical systems theory in their year of calculus study.

Cornette and Ackerman have produced a beautifully written introduction to the uses of mathematics in the life sciences. The exposition is crystalline, the problems are overwhelmingly from biology and interesting and rich, and the emphasis on modeling is invigorating. This book should become the standard text for this course. Please take special note of the student-friendly price—$35 for an ebook.

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This article was written for MAA FOCUS as part of MAA Books Beat. It appears in the February/March 2015 issue.

Joel Haack Reviews How Euler Did Even More

Joel Haack reviewed How Euler Did Even More by C. Edward Sandifer as part of MAA Reviews.

C. Edward Sandifer’s How Euler Did Even More is the second collection of his monthly columns from MAA Online, “How Euler Did It.” The first collection, also titled How Euler Did It, appeared in 2007 as part of the five-volume set published by the MAA in recognition of the tercentenary of Euler’s birth. It contained Sandifer’s columns from November 2003 through February 2007. This second collection contains his columns from March 2007 through February 2010, with the addition of two guest columns by Rob Bradley and one by Dominic Klyve. (Bradley assisted Sandifer with the details of the publication of this collection.)

There are several ways to read this book. First, one may choose simply to open it at random to read Sandifer’s discussion of how Euler attacked and thought about certain problems. Sandifer places Euler’s work into context of the mathematics of his time, then describes what Euler did and how he did it and why it mattered, keeping in mind the advice of John Fauvel that Sandifer references in How Euler Did It: “Content, Context and Significance.” An alternative would be to read the columns for particular topics that Euler considered; the columns are organized into sections on geometry, number theory, combinatorics, analysis, applied mathematics, and Euleriana. This last section includes two columns reflecting on Euler as teacher, two on light-hearted topics (Euler and the hollow earth and Euler and pirates), and one discussing of Euler’s fallibility.

Read the full review here.

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Joel Haack is Professor of Mathematics at the University of Northern Iowa.

2015 Beckenbach Book Prize Winner

The Beckenbach Book Prize, established in 1986, is the successor to the MAA Book Prize established in 1982. It is named for the late Edwin Beckenbach, a long-time leader in the publications program of the Association and a well-known professor of mathematics at the University of California at Los Angeles. The Prize of $2,500 is intended to recognize the author(s) of a distinguished, innovative book published by the MAA and to encourage the writing of such books. The award is not given on a regularly scheduled basis. To be considered for the Beckenbach Prize a book must have been published during the five years preceding the Award.

The 2015 Beckenbach Book Prize winner is:

Lobachevski Illuminated

By Seth Braver

PDF Price: $28.00

Print-on-Demand Price: $47.50

Mathematicians of all stripes know that the non-Euclidean revolution was a game-changer in 19^th  century mathematics. But relatively few mathematicians are acquainted with the little book that heralded this revolution: Nikolai Lobachevski’s Theory of Parallels (in German, 1840).

Seth Braver has come to our rescue. In Lobachevski Illuminated, he gives us a translation of the text, accompanies each of its 37 propositions with an extensive commentary, and places these ideas in their proper historical context. As a result, Braver has done nothing less than give new life to an old masterpiece.

The reader of Lobachevski Illuminated will encounter a host of provocative questions, will delve deeply into the history of geometry, and will gain a thorough appreciation of the genius of Nikolai Lobachevski.

New Calculus Textbooks from the MAA

Looking for a new calculus textbook? Check out these two just published by the MAA.

Calculus for the Life Sciences: A Modeling Approach
James L. Cornette and Ralph A. Ackerman

Available only as an ebook. PDF price: $35.00

Freshman and sophomore life sciences students respond well to the modeling approach to calculus, difference equations, and differential equations presented in this book. Examples of population dynamics, pharmacokinetics, and biologically relevant physical processes are introduced in Chapter 1, and these and other life sciences topics are developed throughout the text.

The ultimate goal of calculus for many life sciences students primarily involves modeling living systems with difference and differential equations. Understanding the concepts of derivative and integral is crucial, but the ability to compute a large array of derivatives and integrals is of secondary importance.

Students should have studied algebra, geometry and trigonometry, but may be life sciences students because they have not enjoyed their previous mathematics courses. This text can help them understand the relevance and importance of mathematics to their world. It is not a simplistic approach, however, and indeed is written with the belief that the mathematical depth of a course in calculus for the life sciences should be comparable to that of the traditional course for physics and engineering students.

College Calculus: A One-Term Course for Students with Previous Calculus Experience
Michael E. Boardman and Roger B. Nelsen

List price: $60.00 | MAA Member: $48.00

This textbook is for students who have successfully experienced an introductory calculus course in high school. College Calculus begins with a brief review of some of the content of the high school calculus course, and proceeds to give students a thorough grounding in the remaining topics in single variable calculus, including integration techniques, applications of the definite integral, separable and linear differential equations, hyperbolic functions, parametric equations and polar coordinates, L’Hôpital’s rule and improper integrals, continuous probability models, and infinite series. Each chapter concludes with several “Explorations,” extended discovery investigations to supplement that chapter’s material.

The text is ideal as the basis of a course focused on the needs of prospective majors in the STEM disciplines (science, technology, engineering, and mathematics). A one-term course based on this text provides students with a solid foundation in single variable calculus and prepares them for the next course in college level mathematics, be it multivariable calculus, linear algebra, a course in discrete mathematics, statistics, etc.

After JMM Book Sale: 25% off Books, 10% off eBooks

Thank you for attending the Joint Mathematics Meetings in San Antonio, TX!

To show are appreciation, we are extending the meeting discount on MAA books. Enter the code JMM15SAL during checkout at the MAA Store to receive 25% off your book purchases. Hurry! This sale ends January 21.

Prefer an ebook? Visit the MAA eBooks Store and enter the code 1328851592 during checkout for 10% off  your order. Valid until January 31.

MAA Pavilion Events at JMM

In San Antonio, TX, for the Joint Mathematics Meetings? Don't forget to stop the MAA Pavilion (booths #816-837) in the exhibit hall and check out these book deals and events:

Grand Opening Reception
Saturday, January 10
12:15–5:30 p.m.

Stop by during the Grand Opening and join us for a light snack.

Euler Special

Back again! Pick up all five volumes of our Special Collector's Edition of the Euler Tercentenary Collection for only $40 (retail $129.75).

Barely Battered Books

Browse our Barely Battered Books section and pick up a gently used MAA book for only $8.00.

Calling all MAA Authors!

Don't forget to stop by and pick up your MAA Author Ribbon.

JMM 2015: Teaching Calculus with a Tablet

Attending the Joint Mathematics Meetings in San Antonio, TX, this year? Join us for this MAA Special Session!

Teaching Calculus with a Tablet

Gwyneth Whieldon, Hood College

Integrating technology into the classroom has been a hot topic over the past decade but best practices in the use of tablets, phones, and laptops for mathematics education are still being developed. In this workshop, participants will have a chance to demo the MAA electronic textbook Calculus: Modeling and Application and see how a textbook designed specifically to be read and interacted with on a tablet can be integrated into their own classrooms. We will introduce several apps to supplement an electronic textbook (and, more generally, for use in a technology-based calculus course) and suggest techniques for introducing students to a calculus sequence very different from any math classes they have taken before.

Monday, January 12

3:00-4:15pm

Room 213B

Convention Center

Stop by the MAA Pavilion in the exhibit hall for more information.

MAA Books Beat: Knowing vs. Measuring: Doing the Scholarship

Written by Steve Kennedy, MAA Acquisitions Editor, Knowing vs. Measuring: Doing the Scholarship appears in the December 2014/January 2015 issue of MAA FOCUS.

Last winter I participated in the tenure review of a junior colleague, watched with interest as Miguel Cabrera defeated Mike Trout in a close American League Most Valuable Player contest, and read a draft version of Curtis Bennett’s and Jackie Dewar’s Doingthe Scholarship of Teaching and Learning in Mathematics. It could just have been the temporal proximity of these experiences that led me to see analogies between them, but I think there are real connections.

Measuring

First, and most frivolously, the baseball: There is a huge, fascinating, and contentious debate going on in baseball these days that we might characterize as traditionalists versus statheads. Even if you are not a baseball fan, you might know about this from the movie and book Moneyball.

Baseball players have traditionally been measured by their batting averages, home runs, and runs batted in. All of these are easy to count, have obvious meaning, and have value that is clear to even the most casual baseball fan. All are limited as a measure of what they ostensibly represent: the player’s contribution to his team winning the game.

For example, batting average is a rough proxy for the frequency at which a batter gets on base, but it does not count walks, or reaching base on an error; it values a single and a triple identically; and it ignores certain outs that achieve other (good) outcomes, such as advancing another baserunner.

None of these three stats cited even tries to measure baserunning skill, or the ability to reach base by walk or error, or defensive prowess.

A number of more advanced statistical measures of a baseball player’s performance are in use today. WAR, Wins Above Replacement, is one such. It attempts to measure the total (batting, defensive, baserunning) contribution of a player to his team’s success.

In 2012 Mike Trout, the young centerfielder for the Los Angeles Angels, posted a WAR score that was among the two dozen highest in modern baseball history. That is out of tens of thousands of individual seasons.

In the same season, Miguel Cabrera led the league in all three of the traditional statistics: batting average, home runs, and runs batted in. This is, in baseball lingo, called winning the Triple Crown. It had happened only 15 times previously in baseball history and not since 1967. Cabrera had a batting season among the best of all time, but he is a slow runner and not a very good fielder.

WAR (and other advanced statistical metrics that include baserunning and defense) rated Trout’s season as very strongly more valuable than Cabrera’s. The debate over the MVP award was widely portrayed as a battle between crusty, tradition-bound baseball old-timers against basement-dwelling, smart-aleck nerds.

Essentially the same thing happened in 2013. Cabrera dominated the old-fashioned offensive categories; Trout lead the league in WAR, again by a wide margin.

New: How Euler Did Even More

How Euler Did Even More

By C. Edward Sandifer
Spectrum Series

"Read Euler, read Euler, he is master of us all," LaPlace exhorted us. And it is true, Euler writes with unerring grace and ease. He is exceptionally clear thinking and clear speaking. It is a joy and a pleasure to follow him. It is especially so with Ed Sandifer as your guide. Sandifer has been studying Euler for decades and is one of the world's leading experts on his work. This volume is the second collection of Sandifer's "How Euler Did It" columns. Each is a jewel of historical and mathematical exposition. The sum total of years of work and study of the most prolific mathematician of history, this volume will leave you marveling at Euler's clever inventiveness and Sandifer's wonderful ability to explicate and put it all in context.

Pick up your copy today at the MAA Store!

Prefer an ebook? Visit the MAA eBooks Store.

MAA Cyber Monday Sale: 35% off Books, 15% off eBooks

Treat Yourself to a New MAA Book

For one day only, receive 35% off MAA books! Visit the MAA Store and enter the code CYBMON14 during checkout.

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Prefer an ebook? Visit the MAA eBooks Store and enter the code 356839621 to receive 15% off your ebooks purchase.

Hurry! Sales end at Midnight PST.

New: Doing the Scholarship of Teaching and Learning in Mathematics

Doing the Scholarship of Teaching and Learning in Mathematics

Jacqueline M. Dewar and Curtis D. Bennett, Editors

The Scholarship of Teaching and Learning (SoTL) movement encourages faculty to view teaching “problems” as invitations to conduct scholarly investigations. In this growing field of inquiry faculty bring their disciplinary knowledge and teaching experience to bear on questions of teaching and learning. They systematically gather evidence to develop and support their conclusions. The results are to be peer reviewed and made public for others to build on.

This Notes volume is written expressly for collegiate mathematics faculty who want to know more about conducting scholarly investigations into their teaching and their students’ learning. Conceived and edited by two mathematics faculty, the volume serves as a how-to guide for doing SoTL in mathematics.

The four chapters in Part I provide background on this form of scholarship and specific instructions for undertaking a SoTL investigation in mathematics. Part II contains fifteen examples of SoTL projects in mathematics from fourteen different institutions, both public and private, spanning the spectrum of higher educational institutions from community colleges to research universities. These chapters “reveal the process of doing SoTL” by illustrating many of the concepts, issues, methods and procedures discussed in Part I. An Editors’ Commentary opens each contributed chapter to highlight one or more aspects of the process of doing SoTL revealed within. Toward the end of each chapter the contributing authors describe the benefits that accrued to them and their careers from participating in SoTL.

The final chapter in the volume, the Epilogue, represents a synthesis by the editors of the contributing authors’ perceptions of the value of SoTL. This volume has two goals: to assist mathematics faculty interested in undertaking a scholarly study of their teaching practice and to promote a greater understanding of this work and its value to the mathematics community.

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Purchase your copy today at the MAA eBooks Store.

MAA Books Beat: Stories at the Heart of Teaching

Written by Steve Kennedy, MAA Acquisitions Editor, Stories at the Heart of Teaching appears in the October/November 2014 issue of MAA FOCUS.


Steve Willoughby taught mathematics for 59 years at every level from elementary school to graduate school. He is a keen and perceptive observer and a witty and talented storyteller. And, man, after 59 years does he have some stories to tell in Textbooks, Testing, Training: How We Discourage Thinking. 

From a fourth-grade book on a page titled “Divided By 6”:

Twelve turkeys. Six turkeys in each cage. How many cages?

There was a picture on the page with the right number of cages so that exactly six turkeys could be, and were, placed into each with no leftover turkeys. The teachers’ guide directed that any student who wrote the answer without writing “12 ÷ 6 = 2” was to be marked wrong. Fortunately, because of the title at the top of the page and four years of intensive schooling, no child would have an urge to read the problem. There are two numbers. One is 6. Certainly 12 must be divided by 6 and the problem is solved to the satisfaction of all concerned without a single thought passing through the head of anyone involved or of any child making the heinous error of counting the cages depicted.

Did the authors really suppose that if somebody wanted to know how many cages there were, he would count the turkeys, count how many are in each cage, and, upon discovering the unlikely fact that the same number were in each cage, would divide the first number by the second?

Tom Sinclair Reviews Textbooks, Testing, Training: How We Discourage Thinking

Tom Sinclair reviewed Textbook, Testing, Training: How we Discourage Thinking by Stephen S. Willoughby as part of MAA Reviews.

"This short book recounts many specific true stories from my fifty-nine years of teaching that I believe cast some light on what is wrong with American education and perhaps some clues as to what might improve it." (p. 1)

This is an incisive yet readable critique of the American education system. Willoughby writes from the perspective of six decades of experience. He knows that the best way to persuade someone is to tell them a story. The author illustrates his points with anecdotes from his own experience and those of his colleagues.

Two things surprised me about this book. First, Willoughby's writing captures the teaching experience to perfection. I often found myself nodding with familiarity as I read. The second surprise is the humor. Willoughby writes with a dry, ironic sensibility that remains warm and inviting. Even when describing his frustrations he never descends into cynicism.

Willoughby breaks down the problem with our education system into three broad categories. Doing education right is a complex problem with a complex solution. He presents ways that we teachers can be part of that solution.

Read the full review here.

New: Knots and Borromean Rings, Rep-Tiles, and Eight Queens

Knots and Borromean Rings, Rep-Tiles, and Eight Queens

Martin Gardner

Martin Gardner's fifteen volumes about Mathematical Games are The Canon – timeless classics that are always worth reading and rereading. —Don Knuth

I recommend you approach this book on a Sunday afternoon with paper and pen a few biscuits for brain-power and a good hour to spare for puzzling. It is worth it. —Charlotte Mulcare, +plus Magazine

The hangman’s paradox, cat’s cradle, gambling, peg solitaire, pi and e—all these and more are back in Martin Gardner’s inimitable style, with updates on new developments and discoveries. Read about how knots and molecules are related; take a trip into the fourth dimension; try out new dissections of stars, crosses, and polygons; and challenge yourself with new twists on classic games.

This volume includes updates by Martin Gardner, Peter Renz, Greg Frederickson, and Erica Flapan. New illustrations have been included and replace some of the older illustrations. The references have been updated.

Purchase your copy today for only $16.99.

MAA Top Selling Books

Check out this year's top 15 bestsellers.
1. 101 Careers in Mathematics, 3rd Ed Andrew Sterrett, Editor	2. Math through the Ages William Berlinghoff and Fernando Gouvêa	3. Game Theory and Strategy Philip D. Straffin, Jr.
4. Mathematical Interest Theory Leslie Jane Federer Vaaler & James Daniel	5. New Horizons in Geometry Tom M. Apostol and Mamikon A. Mnatsakanian	6. Learning Modern Algebra Al Cuoco and Joseph Rotman
7. Number Theory through Inquiry David C. Marshall, Edward Odell, & Michael Starbird	8. Geometry Revisited H.S.M. Coxeter & S.L. Greitzer	9. Exploring Advanced Euclidean Geometry with GeoGebra Gerard Venema
10. First Steps for Math Olympians J. Douglas Faires	11. Mathematics for Secondary School Teachers Elizabeth George Bremigan, Ralph Bremigan, and John Lorch	12. Beyond the Quadratic Formula Ron Irving
13. Combinatorics: A Guided Tour David R. Mazur	14. Ordinary Differential Equations: From Calculus to Dynamical Systems Virginia W. Noonburg	15. Functions, Data, and Models Sheldon P. Gordon and Florence S. Gordon