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Welcome to the 29th Anja S. Greer Conference on Mathematics, Science and Technology being held June 23 - June 28, 2013 at Phillips Exeter Academy. If this is your first time to the campus, get to know the campus by visiting our interactive map. You can find your dorm by using the buiding filters. (Your conference welcome letter let you know what dorm you have been assigned.)

Using the daily schedule below, you can select your course period, featured speakers and meals that you will be attending by clicking on the "star". Each Conference within a Conference (CWIC) session is listed. You can attend as many CWIC sessions as time allows. Just check the sessions you are interested in attending. Your individual schedule will be created. You can print it or push it to a mobile device.

We look forward to meeting you this upcoming weekend.

Using the daily schedule below, you can select your course period, featured speakers and meals that you will be attending by clicking on the "star". Each Conference within a Conference (CWIC) session is listed. You can attend as many CWIC sessions as time allows. Just check the sessions you are interested in attending. Your individual schedule will be created. You can print it or push it to a mobile device.

We look forward to meeting you this upcoming weekend.

Help for Beginning Users of TI - 84 calculators

**Leaders**
## Ken Collins

This drop-in session will provide a brief introduction to some of the features of TI calculators. There will be calculators available for loan.

Charlotte Latin School, Charlotte, NC

Ken has a B.S. in physics and M.S. in math from BPI/NYU and a Ph.D. from Purdue University. He has taught for forty seven years in middle school through graduate school. His focus is on effective use of technology in teaching and learning mathematics. He teaches calculus, precalculus, and algebra II with extensive use of calculator technology. Ken gives five to ten workshops each year at regional and national conferences of NCTM, ACA, and T^3. He... Read More →

Sunday June 23, 2013 10:00am - 12:00pm

The Forum

The Forum

Help for Beginning Users of TI-Nspire

**Leaders**
## Ken Collins

This drop-in session will provide some introductory instruction on how to use several features of the TI-Nspire device. There will be Nspire devices for loan.

Charlotte Latin School, Charlotte, NC

Ken has a B.S. in physics and M.S. in math from BPI/NYU and a Ph.D. from Purdue University. He has taught for forty seven years in middle school through graduate school. His focus is on effective use of technology in teaching and learning mathematics. He teaches calculus, precalculus, and algebra II with extensive use of calculator technology. Ken gives five to ten workshops each year at regional and national conferences of NCTM, ACA, and T^3. He... Read More →

Campus Tour

**Director**
## Tom Seidenberg

If you're with us for the first time, we will show you around campus. Join us for this optional tour.

MA, Phillips Exeter Academy

I've taught 41 years - 15 in public, 26 in private. I helped write the mathematics curriculum at Phillips Exeter Academy. I am the director of the Anja S. Greer Mathematics &Technology Conference at Exeter (www.exeter.edu/mst), and I do workshops for schools on curriculum and student-centered learning. | I enjoy reading, riding bicycles, and spending time with my standard poodle, Sydney.

Orientation Meeting (Required)

**Director**
## Tom Seidenberg

Tom Seidenberg, Conference Director, hosts a 1 hour orientation meeting. All attendees should plan to attend this session.

MA, Phillips Exeter Academy

I've taught 41 years - 15 in public, 26 in private. I helped write the mathematics curriculum at Phillips Exeter Academy. I am the director of the Anja S. Greer Mathematics &Technology Conference at Exeter (www.exeter.edu/mst), and I do workshops for schools on curriculum and student-centered learning. | I enjoy reading, riding bicycles, and spending time with my standard poodle, Sydney.

Period 1 Course Introduction (select if your week-long course runs in Period 1)

This introductory course will provide a 50 minute overview of your week long (period 1) course. Come meet your leader and fellow course participants as you explore the contents of your course.

Sunday June 23, 2013 2:30pm - 3:20pm

Phelps Science Center

Phelps Science Center

Period 2 Course Introduction (select if your week-long course runs in Period 2)

This introductory course will provide a 50 minute overview of your week long (period 2) course. Come meet your leader and fellow course participants as you explore the contents of your course.

Sunday June 23, 2013 3:30pm - 4:20pm

Phelps Science Center

Phelps Science Center

Period 3 Course Introduction (select if your week-long course runs in Period 3)

This introductory course will provide a 50 minute overview of your week long (period 3) course. Come meet your leader and fellow course participants as you explore the contents of your course.

Sunday June 23, 2013 4:30pm - 5:20pm

Phelps Science Center

Phelps Science Center

Featured Speaker Presentation: Heron, Newton, Euler and Barney
Heron's formula, giving the area of a triangle in terms of the lengths of its sides, is one of the great, peculiar results of plane geometry. It is thus to be expected that, over the years, there have been multiple demonstrations of this remarkable formula. Here, I consider four such proofs. Heron's original was a clever if convoluted exercise in Euclidean geometry. Centuries later, Isaac Newton gave a demonstration whose heavy lifting was done by algebra rather than geometry. Leonhard Euler's proof was geometric and exhibited his characteristic flair. Then in 1990 Barney Oliver, a former recipient of the National Medal of Science, shared with me an elegant trigonometric argument where the symmetry of the formula was mirrored by the symmetry of the proof itself. The first two of these – Heron's and Newton's – I'll mention only briefly. The second pair – Euler's and Barney's – I'll prove in detail. Taken together, these should remind us why the history of our discipline is such a fine source for wonderful mathematics.

Evening at "The Grill"
Join us at "The Grill" for an evening of socializing with fellow attendees. Beer and wine will be available for sale. Unwind after a long day of learning!

Period 1 Course (select if the course you are registered for runs in the 1st period)

Attend the Period 1 course for which you are registered.

Monday June 24, 2013 8:00am - 10:00am

Phelps Science Center

Phelps Science Center

Margin of Error: How Do They Do That?

In this session participants will carry out a simulation that will show how polling organizations (like Gallup or the New York Times) are able to determine the margin of error when they estimate a proportion like "the percentage of Americans who favor background checks for gun purchases." This session is designed for teachers who DO NOT KNOW Statistics.

Monday June 24, 2013 8:15am - 9:00am

The Forum

The Forum

The Geometry of Mobius Transformations

**Leaders**
## Jeff Ibbotson

A simple non-Euclidean geometry is explored via the use of Complex Numbers. A pre-calculus exercise with complex numbers show us a beautiful picture of stereographic projection of the Riemann Sphere. This short talk explains the math behind the Youtube video "Mobius Tranformations Revealed".

MA, Phillips Exeter Academy

Jeff has been teaching mathematics at private schools since 1995. Prior to that, he taught at a local four-year college. His fields of expertise involve functional analysis, geometry and logic. He has been working on a history of mathematics text for high school use for several years and has taught history of mathematics at Exeter for the past 5 years. He holds the Smith Teaching Chair in Mathematics at Exeter and has been involved with writing... Read More →

Is f increasing at x=3?

**Leaders**
## Doug Kuhlmann

Many folks assert that functions cannot increase "at a point". However, we calculus teachers continue to ask a variation of the question, "Is f increasing at 3?" without talking about what we mean. How can we assert that a function cannot increase at a point and then ask our students that very question. For some examples of calculus teachers asking such questions, see the 2013 Free Response questions which can be found at AP Central. This year questions AB/BC 12 and AB 2d asked if a function was increasing or decreasing at a point. I will posit a definition of "increasing at a point"and explore its ramifications.

Doug has been teaching in secondary boarding schools for 38 years, the last 29 at Philips Academy. He received his B.S. in math from St. Louis U. in 1968, and his Ph.D. from Northwestern in 1978. He enjoys learning and teaching mathematics and is particularly interested in using GeoGebra in precalculus and calculus courses in high school. An active participant on the AP Calculus listserv, he has studied at Cambridge University during his first... Read More →

Monday June 24, 2013 9:15am - 10:00am

The Forum

The Forum

Repeating decimals, magic squares and conic sections
We will begin by using technology to examine the period of the decimal expansion of fractions of the form 1/n, where n is a positive integer. We will establish some rules that can be used to predict the period without having to convert the fraction to decimal form. Our analysis will lead to a natural connection between certain fractions of the form 1/n and magic squares. We will end our exploration with a seemingly bizarre and stunning appearance of an ellipse and a hyperbola created from certain fractions.

Electric Vehicle Mathematics

**Leaders**
## Philip Rash

With rising gas prices and growing environmental concerns, electric vehicles (EVs) and plug-in hybrids are gaining popularity in the U.S. In this talk we'll look at some simple mathematics related to operation of electric vehicles. How does the Prius manage multiple motive power sources? What is an "MPG"? How can we assess how much and how efficiently an EV uses energy? We'll try to answer these and other questions, using mathematics ranging from simple ratios to integral calculus.

North Carolina School of Science and Mathematics, Durham, NC

Philip is in his twelfth year as a member of the NCSSM Mathematics faculty. A NC native, he earned Bachelor and Masters degrees in western NC, and has high school and university teaching experience prior to NCSSM. At NCSSM Philip teaches Precalculus, Calculus, Statistics, and some post-calculus elective courses. He's also very involved with math contests, including co-chairing the NC State Math Contest committee of the NC Council of Teachers of... Read More →

Using Videos to Capture Data

**Leaders**
## Maria Hernandez

We can use data collected from videos to help our students explore and make sense of important mathematical topics, including parametric equations, trigonometric functions and related rates problems. In this session, I will demonstrate how to capture the data using LoggerPro and share resources including the movie files and data in various formats.

Mathematics Instructor, The North Carolina School of Science and Mathematics, Durham, NC

I have taught math for over 25 years and have focused my teacher development efforts on incorporating real-world modeling problems and the effective use of technology in the classroom . I have recently taught Complex Systems, Precalculus, Calculus and Multivariable at NCSSM. I am also involved in a math mentoring program for 8th grade girls and try to support Hispanic students through the NC Hispanic Youth Education Summit.

Monday June 24, 2013 10:30am - 11:15am

The Forum

The Forum

Period 2 Course (select if the course you are registered for runs in the 2nd period)

Attend the Period 2 course that you have been placed in.

Monday June 24, 2013 10:30am - 12:30pm

Phelps Science Center

Phelps Science Center

Fibonacci Galore

**Leaders** *PM*
## Philip Mallinson

I will present some of Jim Tantonâ's beautiful geometric realizations of some very surprising trigonometric identities involving Fibonacci numbers.

Retired

Philip started his math teaching career in 1970 at a tiny private school, now defunct, in Vermont. From there he went to the University of Washington in Seattle to earn a license to teach mathematics. He was an instructor briefly at the University of Washington and then taught at a private school in Seattle until 1994. At this point Tom Seidenberg lured him to Exeter where he has been ever since. He has been active with the geometry team of the... Read More →

Parabolic Art with Desmos

**Leaders**
## Mary Bourassa

This hands-on session will feature an activity designed for students to demonstrate a solid understanding of transformations of quadratic functions while being creative. Using Desmos, the fantastic and free, on-line graphing software, you will create your own artwork using only parabolas. Bring along your laptop or tablet and see what you can create!

West Carleton Secondary School, Ottawa, Ontario, Canada

Mary currently teaches mathematics at West Carleton Secondary School in rural Ottawa, Canada. She is a strong advocate of the appropriate use of technology in the classroom. She has presented workshops across Canada, the US and Australia. She has also been involved in authoring high school mathematics textbooks and is a past director and Vice-President of the Ontario Association for Mathematics Education. Winner of several awards from NCTM and... Read More →

Monday June 24, 2013 11:30am - 12:15pm

The Forum

The Forum

Period 3 Course (select if the course you are registered for runs in the 3rd period)

Attend the Period 3 course which you are registered for.

Monday June 24, 2013 1:30pm - Sunday June 23, 2013 3:30pm

Phelps Science Center

Phelps Science Center

Flatland-The Movie

**Leaders**
## Jonathan Choate

Edwin A. Abbot's geometry classic Flatland has been made into a movie that can be shown in any geometry classroom. It is well done and contains a lot of nice mathematics. Tom Banchoff's classic video, "Slicing The Hypercub", will also be shown.

Groton School, Groton, MA

Jonathan has taught mathematics at Groton School since 1966. He is the co-author of The Dynamics Toolkit, four books covering topics in fractal geometry and chaos theory. He has served on both NCTM's Algebra and Discrete Mathematics Task Forces. His column, Geometer's Corner, is a regular feature in COMAP's Consortium newsletter, and he has created a web site dedicated to the teaching of three-dimensional geometry which can be found at... Read More →

Monday June 24, 2013 1:45pm - 2:30pm

The Forum

The Forum

Mathematics and Fair Voting

**Leaders**
## Ken Collins

Voting issues have become a hot topic. What are some techniques that are used to "unfairly" affect the outcome? In a multicandidate race, how can we use mathematics to help election outcomes reflect the "will of the people"?

Charlotte Latin School, Charlotte, NC

Ken has a B.S. in physics and M.S. in math from BPI/NYU and a Ph.D. from Purdue University. He has taught for forty seven years in middle school through graduate school. His focus is on effective use of technology in teaching and learning mathematics. He teaches calculus, precalculus, and algebra II with extensive use of calculator technology. Ken gives five to ten workshops each year at regional and national conferences of NCTM, ACA, and T^3. He... Read More →

The Box Problem

**Leaders**
## Dan Butler

Remember trying to create a box of maximum volume from a single sheet of paper? Come and see some twists on this problem that really makes it exciting.

Mathematics Teacher, Mounds View High School, Arden Hills, MN

Dan has taught mathematics for twenty-seven years; 9 years in middle school and 18 years in high school. In addition, he teaches an enriched and accelerated course for middle school students at the University of Minnesota. He has been involved in professional development workshops for the past 20 years, including ten years as a teacher leader in the Woodrow Wilson Fellowship Foundation and 19 years as an instructor in the Anja S. Greer... Read More →

Why pi is wrong. Celebrate tau day on June 28.

**Leaders**
## Doug Kuhlmann

A few mathematicians are realizing that pi is wrong. Not incorrect, mind you, but the real constant should not be the circumference of a circle divided by the diameter but the circumference divided by the radius. This is tau. Hear how I introduced the unit circle in trig class using tau and discover the advantages.

Doug has been teaching in secondary boarding schools for 38 years, the last 29 at Philips Academy. He received his B.S. in math from St. Louis U. in 1968, and his Ph.D. from Northwestern in 1978. He enjoys learning and teaching mathematics and is particularly interested in using GeoGebra in precalculus and calculus courses in high school. An active participant on the AP Calculus listserv, he has studied at Cambridge University during his first... Read More →

Monday June 24, 2013 2:45pm - 3:30pm

The Forum

The Forum

Folded Quadratics: The Poor Person's Fermat's last Theorem?

**Leaders**
## Ira Nirenberg

First of all, you're folding the quadratic algebraically, not geometrically. If that's not enough to whet your appetite, then you are clearly not the kid who stood in a corner at a school dance. But come anyway, you could probably use the rest after all that dancing. The talk is divided into two parts: Part 1: A concrete, very specific example, of what we're doing and what will get (some) kids saying: NO WAY! Part 2: We generalize the concrete example in order to see why it works. To which everyone says: No way. You won't find this anywhere else!

Benjamin Franklin High School, New Orleans, LA (retired)

Ira worked for Shell Oil as a geophysicist for six years prior to entering the teaching field. From 1985 to 2005 he taught at Benjamin Franklin High School in New Orleans, LA. 2006-2007 academic year was spent at University of Chicago Laboratory Schools and Lusher High School in 2009. Ira has taught AP Physics C & B, Astronomy, and first through fourth year mathematics. He has also taught in Hong Kong and in Australia. He has written two books... Read More →

The Gini Index for Income Inequity

**Leaders**
## Kevin Bartkovich

When the "Occupy" movement talks about income inequity in the US, what are they referring to? This session looks at the Gini Index, a commonly used index for income inequity (or inequity of the distribution of any resource) in a society. The derivation of the Gini Index uses simple concepts from data analysis and integral calculus & the area of a region bounded by a curve.

MA, Phillips Exeter Academy

Kevin was a teacher for 17 years at the N.C. School of Science & Math, where he was part of a department that developed curricular materials for contemporary secondary school math and wrote textbooks for precalculus and calculus. He then embarked upon a 10-year adventure in Uganda where he and his wife J.D. established Christ School - Bundibugyo, a boarding secondary school located in a remote village near the border with Congo. Kevin and... Read More →

Monday June 24, 2013 3:45pm - 4:30pm

The Forum

The Forum

Using an Online Collaboration App in Problem-Based Learning: An iPad Pilot

**Leaders**
## Carmel Schettino

Come hear about my experience this past year using an online collaborative multimedia app called Voicethread in which I had students discuss their problem-solving attempts and successes. For 10 weeks my geometry class has iPads and we found different ways to communicate our problem-solving techniques to enhance the discussion in our problem-based curriculum into the homework hours thus making the most of their out-of-class time as well. Student evaluations of the program, pros and cons of the outcomes and other apps that were used will be discussed as well.

Deerfield Academy, Deerfield, MA

With Problem-Based Learning as her specialization, Carmel obtained a Ph.D. in Math Education while teaching at the secondary level for many years. She is passionate about helping teachers grapple with the pedagogical and curricular questions that rise when PBL is brought into the math classroom. Other areas of expertise include gender, discourse, technological implications and PBL's relationship to the Common Core. Carmel has consulted for a... Read More →

Monday June 24, 2013 3:45pm - 4:30pm

Mayer Auditorium

Mayer Auditorium

Exeter Math in your Classroom

**Leaders**
## Diana Davis

Many teachers attending the conference love Exeter's problem-based math curriculum, but have questions like: How do I use it in a class of 30 / with students of differing ability / in a middle school / with my state's standardized curriculum / despite irate parents, etc. This will be a discussion where those who have used the curriculum will share their experiences and strategies.

There is only one person at the math conference this year who has been on "both sides of the Harkness table" for the Exeter math curriculum -- this lady! Diana graduated from PEA in 2003 and has worked at the math conference since 2004. She has taught math at Exeter as a teaching intern, and in the summer school. She loves to explain things, especially by drawing pictures. As a leader this year, she is teaching a course on the Exeter math... Read More →

Monday June 24, 2013 4:45pm - 5:30pm

Mayer Auditorium

Mayer Auditorium

Starting a Research Program for your Students

**Leaders**
## Dan Teague

Do you have students interested in a research project in mathematics, but feel uncomfortable with your ability to support their work? Join a group of high school teachers from across the US working together to create research opportunities for their top students. This session will present several research problems and discuss implementation issues.

Instructor of Mathematics, NC School of Science and Mathematics

Instructor of Mathematics, NCSSM

The iPad as a Dynamic Math Learning and Teaching Tool

**Leaders**
## Nils Ahbel

FluidMath is an iPad app that recognizes mathematics you write with your finger or stylus. Write an equation like y-3=2(x+1) and with a flick of the wrist you have a graph and table. FluidMath recognizes and graphs inequalities, systems of equations, implicitly defined functions, relations (like conic sections), polar functions, and discrete functions (like the Fibonacci Sequence). FluidMath incorporates a full CAS (Computer Algebra System) so it evaluates expressions and solves equations. You have to see it to believe it!

Deefield Academy

Nils studied Mechanical Engineering and then earned his MBA from the University of Chicago in 1984, with a concentration in Microeconomics. Following graduate school he worked in Germany as a project engineer for five years and then, searching for his passion he returned to the US to give prep school life a try. Already in his second year of teaching he was chosen to be an author for the University of Chicago School Mathematics Project, working... Read More →

Monday June 24, 2013 4:45pm - 5:30pm

The Forum

The Forum

Featured Speaker Presentation: Are we seeing the end of school, as we know it?
If ever there was a time to question the value of formal education, as we have traditionally called it, then surely that time has come. We are facing a critical time when we have to decide how much we want to hang onto the institution of school that we have traditionally known, and how much to let go of. Now is the time for us to determine what alternatives might not just be superficially appealing, but importantly they must be sustainable and impactful, and even more critically, to what extent any genuinely transformative shift might only be possible through disruption from external sources.

Period 1 Course (select if the course you are registered for runs in the 1st period)

Attend the Period 1 course for which you are registered.

Tuesday June 25, 2013 8:00am - 10:00am

Phelps Science Center

Phelps Science Center

Enhancing Calculus and Pre-Calculus with Geometer's Sketchpad 5
Geometer's Sketchpad is a powerful cross platform software that can be utilized to allow students to visualize important concepts in calculus and pre-calculus. There will be a brief discussion of some of the useful techniques for using Sketchpad, and a demonstration of how it can be used with related rates, extreme value, graphing, applications of integration and important pre-calculus topics. A CD of completed sketches will be given to anyone in attendance.

Miles per Gallon vs. Gallons per Mile

**Leaders**
## Kevin Bartkovich

Which measure is more helpful in determining fuel efficiency and savings in carbon emissions? What illusions are created by the MPG rating? And how do they come up with those overall MPG averages for vehicles? Why is there a move afoot to require car manufacturers to post on the new car sticker a measure such as gallons per thousand miles? These and other questions will be investigated in this session which uses mathematics accessible at the first and second year algebra level.

MA, Phillips Exeter Academy

Kevin was a teacher for 17 years at the N.C. School of Science & Math, where he was part of a department that developed curricular materials for contemporary secondary school math and wrote textbooks for precalculus and calculus. He then embarked upon a 10-year adventure in Uganda where he and his wife J.D. established Christ School - Bundibugyo, a boarding secondary school located in a remote village near the border with Congo. Kevin and... Read More →

Tuesday June 25, 2013 8:15am - 9:00am

The Forum

The Forum

Exploring the Harmonic Mean

**Leaders**
## Ira Nirenberg

We often overlook the Harmonic Mean paying more attention to the arithmetic mean and the geometric mean. Let me show why I think it deserves better!

Benjamin Franklin High School, New Orleans, LA (retired)

Ira worked for Shell Oil as a geophysicist for six years prior to entering the teaching field. From 1985 to 2005 he taught at Benjamin Franklin High School in New Orleans, LA. 2006-2007 academic year was spent at University of Chicago Laboratory Schools and Lusher High School in 2009. Ira has taught AP Physics C & B, Astronomy, and first through fourth year mathematics. He has also taught in Hong Kong and in Australia. He has written two books... Read More →

Tuesday June 25, 2013 9:15am - 10:00am

The Forum

The Forum

Benjamin Franklin High School, New Orleans, LA (retired)

Ira worked for Shell Oil as a geophysicist for six years prior to entering the teaching field. From 1985 to 2005 he taught at Benjamin Franklin High School in New Orleans, LA. 2006-2007 academic year was spent at University of Chicago Laboratory Schools and Lusher High School in 2009. Ira has taught AP Physics C & B, Astronomy, and first through fourth year mathematics. He has also taught in Hong Kong and in Australia. He has written two books... Read More →

Tuesday June 25, 2013 9:15am - 10:00am

The Forum

The Forum

My Favorite iPad Apps for Math -- Investigation, Instruction, Presentation

**Leaders**
## Tom Reardon

See how to use the iPad as an investigation tool for students using over 100 free pre-created activities. How students can use it as a graphing calculator and teachers use it as a demonstration device. Apps to wirelessly project your iPad screen and how to control your computer desktop with your iPad. And PEZ!

Mathematics Instructor, Fitch High School / Youngstown State University

I like to integrate problem solving, rich tasks, excellent questioning techniques, standards, and appropriate technologies. Technologies that I use include iPads and math apps, SMART Boards, and TI technologies. | I am currently working on some interactive activities that help students to better understand Transformational Geometry.

Learning Styles in the Math Classroom

**Leaders**
## Nils Ahbel

We know that everyone has a different learning style such as left brain, right brain, auditory, visual, and kinesthetic. To connect more effectively with all of our students we need to be able to teach in all of these modes. Many teachers teach in different modes, but presenting ideas to students becomes so much more powerful when the teacher choses the mode more deliberately based on the student's learning style. But... how do we recognize the learning style of an individual student? How can we present material more effectively by addressing each of these modalities? What is the result when a teacher is not aware of his/her own learning style? Drawing from his experience in the classroom, Nils will share his answers to these questions. He will also "teach"mini-lessons with the same content, addressing drastically different modalities of learning.

Deefield Academy

Nils studied Mechanical Engineering and then earned his MBA from the University of Chicago in 1984, with a concentration in Microeconomics. Following graduate school he worked in Germany as a project engineer for five years and then, searching for his passion he returned to the US to give prep school life a try. Already in his second year of teaching he was chosen to be an author for the University of Chicago School Mathematics Project, working... Read More →

Whatâ€™s an English Teacher doing in a Math Classroom?

**Leaders**
## Ray Williams

This session provides a concrete example of how both English and mathematics can achieve quality learning using and integrated approach in the analysis of what initially appears to be an “English Only” resource.

Ray has been a teacher of mathematics and science for the past 40 years and is currently the Head of Mathematics at St Mark's Anglican Community School in Perth, Western Australia. St Mark's mathematics classrooms all have TI-Nspire Navigator Wireless Networks and wireless data projection of PC Tablets. As well as presenting at international and national conferences, Ray has presented workshops to teachers and parents in Learning Technologies and... Read More →

Tuesday June 25, 2013 10:30am - 11:15am

The Forum

The Forum

Period 2 Course (select if the course you are registered for runs in the 2nd period)

Attend the Period 2 course that you have been placed in.

Tuesday June 25, 2013 10:30am - 12:30pm

Phelps Science Center

Phelps Science Center

Flatland2: Sphereland-The Movie

**Leaders**
## Jonathan Choate

Flatland2 is a follow up to the movie Flatland and continues the story line developed in the first movie.Like the first movie the animation is terrific and does a good job of introducing the idea of a higher dimension.

Groton School, Groton, MA

Jonathan has taught mathematics at Groton School since 1966. He is the co-author of The Dynamics Toolkit, four books covering topics in fractal geometry and chaos theory. He has served on both NCTM's Algebra and Discrete Mathematics Task Forces. His column, Geometer's Corner, is a regular feature in COMAP's Consortium newsletter, and he has created a web site dedicated to the teaching of three-dimensional geometry which can be found at... Read More →

Tuesday June 25, 2013 11:30am - 12:15pm

The Forum

The Forum

Scaffolding and PBL: Making the Most of Problems for Your Students

**Leaders**
## Carmel Schettino

In what ways do students need support in a PBL curriculum? Whether project or problem-based, some students think they require the structure of direct instruction no matter what you say. Convince them otherwise by providing the right scaffolding "behind-the-scenes." Research shows that being exposed to problems that engage students at the right level allow them to advance in their knowledge securely. See examples of problems that allow for that advance and that don't and come hear of other ways in which you can provide for added structure that students can give for themselves.

Deerfield Academy, Deerfield, MA

With Problem-Based Learning as her specialization, Carmel obtained a Ph.D. in Math Education while teaching at the secondary level for many years. She is passionate about helping teachers grapple with the pedagogical and curricular questions that rise when PBL is brought into the math classroom. Other areas of expertise include gender, discourse, technological implications and PBL's relationship to the Common Core. Carmel has consulted for a... Read More →

Period 3 Course (select if the course you are registered for runs in the 3rd period)

Attend the Period 3 course which you are registered for.

Tuesday June 25, 2013 1:30pm - 3:30pm

Phelps Science Center

Phelps Science Center

Enhancing Calculus and Pre-Calculus with Geometer's Sketchpad 5
Geometer's Sketchpad is a powerful cross platform software that can be utilized to allow students to visualize important concepts in calculus and pre-calculus. There will be a brief discussion of some of the useful techniques for using Sketchpad, and a demonstration of how it can be used with related rates, extreme value, graphing, applications of integration and important pre-calculus topics. A CD of completed sketches will be given to anyone in attendance.

Tuesday June 25, 2013 1:45pm - 2:30pm

The Forum

The Forum

Has Math Got Your Goat

**Leaders**
## Dan Butler

Billy is out for a little snack and farmer Dan doesn't want him eating everything in sight. Help farmer Dan find Billy's grazing area for barns of different shapes. This is truly a K through beyond high school type of problem!

Mathematics Teacher, Mounds View High School, Arden Hills, MN

Dan has taught mathematics for twenty-seven years; 9 years in middle school and 18 years in high school. In addition, he teaches an enriched and accelerated course for middle school students at the University of Minnesota. He has been involved in professional development workshops for the past 20 years, including ten years as a teacher leader in the Woodrow Wilson Fellowship Foundation and 19 years as an instructor in the Anja S. Greer... Read More →

GeoGebra 5.0 - 3D Functionality

**Leaders**
## June Patton

Learn about the 3D functionality in GeoGebra 5.0, currently in public beta testing. New features include three dimensional objects (planes, pyramids, prisms, spheres, cylinders, and cones), curves and surfaces, and the ability to rotate the view, among many others. While this is a beta version, it is quite stable (most of the time!) and suitable for use in a classroom setting.

June has been teaching math for thirteen years, and is currently the instructional technology specialist for her high school. Before teaching, she worked in the chemical and computer software industries. Her primary interest is in integrating technology into the mathematics classroom, and she has several years of experience working with GeoGebra and other software packages.

Tuesday June 25, 2013 2:45pm - 3:30pm

The Forum

The Forum

Is f increasing at x=3?
Many folks assert that functions cannot increase "at a point". However, we calculus teachers continue to ask a variation of the question, "Is f increasing at 3?" without talking about what we mean. How can we assert that a function cannot increase at a point and then ask our students that very question. For some examples of calculus teachers asking such questions, see the 2013 Free Response questions which can be found at AP Central. This year questions AB/BC 12 and AB 2d asked if a function was increasing or decreasing at a point. I will posit a definition of "increasing at a point"and explore its ramifications.

**Leaders**
## Doug Kuhlmann

Doug has been teaching in secondary boarding schools for 38 years, the last 29 at Philips Academy. He received his B.S. in math from St. Louis U. in 1968, and his Ph.D. from Northwestern in 1978. He enjoys learning and teaching mathematics and is particularly interested in using GeoGebra in precalculus and calculus courses in high school. An active participant on the AP Calculus listserv, he has studied at Cambridge University during his first... Read More →

Cubic Equations and Priority Fights

**Leaders**
## Jeff Ibbotson

A break-out session from the history of mathematics. The controversy surrounding the historical solution of the cubic equation contains a soap-opera. The wild and wolly characters of Girolamo Cardano, Tartaglia and Ludovico Ferrari play large roles in the story of this discovery. A version of the story will be told and the cubic equation will be solved before your very eyes! A real Renaissance tragedy!

MA, Phillips Exeter Academy

Jeff has been teaching mathematics at private schools since 1995. Prior to that, he taught at a local four-year college. His fields of expertise involve functional analysis, geometry and logic. He has been working on a history of mathematics text for high school use for several years and has taught history of mathematics at Exeter for the past 5 years. He holds the Smith Teaching Chair in Mathematics at Exeter and has been involved with writing... Read More →

Experimenting with equations and their graphs using the iPad and Wolfram Alpha

Using an iPad and the Wolfram Alpha app, high school students can easily make changes to equations that can lead to a deeper understanding of mathematics and to results that are astonishing. For example, simple changes can be made to equations of lines that result in graphs of circles and then to curves that are unusual and mysterious. This experimentation provides students with the opportunity to make connections between different mathematical topics and to make their own discoveries.

Tuesday June 25, 2013 3:45pm - 4:30pm

Mayer Auditorium

Mayer Auditorium

Gateway Exams

**Leaders**
## Dan Butler

How can we ensure that our students have the required technical skills to be successful in our classes. We do it through gateway exams. Come and see what they are all about

Mathematics Teacher, Mounds View High School, Arden Hills, MN

Dan has taught mathematics for twenty-seven years; 9 years in middle school and 18 years in high school. In addition, he teaches an enriched and accelerated course for middle school students at the University of Minnesota. He has been involved in professional development workshops for the past 20 years, including ten years as a teacher leader in the Woodrow Wilson Fellowship Foundation and 19 years as an instructor in the Anja S. Greer... Read More →

Tuesday June 25, 2013 3:45pm - 4:30pm

The Forum

The Forum

Help for Beginning Users of TI-Nspire
This is a continuation of the Sunday morning session as well as help for those who could not come to the Sunday session. We will provide additional assistance with keystroke questions or additional practice using handouts.

Margin of Error: How Do They Do That?
In this session participants will carry out a simulation that will show how polling organizations (like Gallup or the New York Times) are able to determine the margin of error when they estimate a proportion like "the percentage of Americans who favor background checks for gun purchases." This session is designed for teachers who DO NOT KNOW Statistics.

Tuesday June 25, 2013 4:45pm - 5:30pm

Mayer Auditorium

Mayer Auditorium

The 4 Different Platforms of TI-Nspire CX: Handheld, Computer Software, iPad App, and free Document Player

**Leaders**
## Tom Reardon

Get hands-on experience with some of my all-time favorite interactive activities. I will show them on the 4 platforms, participants will do them with a TI-Nspire CX handheld. There are over 1000 free colorful interactive activities on MathNspired.com. They include the student worksheets and teacher notes and solutions. See how to implement them into your math classroom. Your students can use these on their handhelds or iPads. You can demonstrate them with your iPad, computer software, or with the FREE TI-Nspire Document Player.

Mathematics Instructor, Fitch High School / Youngstown State University

I like to integrate problem solving, rich tasks, excellent questioning techniques, standards, and appropriate technologies. Technologies that I use include iPads and math apps, SMART Boards, and TI technologies. | I am currently working on some interactive activities that help students to better understand Transformational Geometry.

Tuesday June 25, 2013 4:45pm - 5:30pm

The Forum

The Forum

Tuesday Trip: Fisher Cats Baseball Game

Heading to Manchester, NH to see the NH Fischer Cats.

Dinner (Select this option if you are dining "off-campus" this evening)

On Tuesday evening, we have several conference attendees who leave campus for our sponsored trips and/or head out for a night off campus. Please select this option if you will NOT be joining us in the dining hall. This is helpful for our food planning purposes.

Tuesday June 25, 2013 6:30pm - 7:30pm

Off Campus

Off Campus

Period 1 Course (select if the course you are registered for runs in the 1st period)

Attend the Period 1 course for which you are registered.

Wednesday June 26, 2013 8:00am - 10:00am

Phelps Science Center

Phelps Science Center

Best Practices in a Flipped Classroom

Using Best Practices to effectively teach students in a "flipped"; classroom. Discussion of contemporary research findings, resources available, etc.

Wednesday June 26, 2013 8:15am - 9:00am

The Forum

The Forum

GeoGebra 4.2

**Leaders**
## Doug Kuhlmann

Doug has been teaching in secondary boarding schools for 38 years, the last 29 at Philips Academy. He received his B.S. in math from St. Louis U. in 1968, and his Ph.D. from Northwestern in 1978. He enjoys learning and teaching mathematics and is particularly interested in using GeoGebra in precalculus and calculus courses in high school. An active participant on the AP Calculus listserv, he has studied at Cambridge University during his first... Read More →

Come see some of the features of GeoGebra 4.2 - it just keeps getting better and easier to use. And it is free.

GeoGebra 5.0 - 3D Functionality
Learn about the 3D functionality in GeoGebra 5.0, currently in public beta testing. New features include three dimensional objects (planes, pyramids, prisms, spheres, cylinders, and cones), curves and surfaces, and the ability to rotate the view, among many others. While this is a beta version, it is quite stable (most of the time!) and suitable for use in a classroom setting.

**Leaders**
## June Patton

June has been teaching math for thirteen years, and is currently the instructional technology specialist for her high school. Before teaching, she worked in the chemical and computer software industries. Her primary interest is in integrating technology into the mathematics classroom, and she has several years of experience working with GeoGebra and other software packages.

Wednesday June 26, 2013 9:15am - 10:00am

The Forum

The Forum

Two Cool Planet Problems that will Challenge Your Trig Students

**Leaders**
## Floyd Bullard

Two problems will be presented that challenge students with unconventional applications of familiar trig functions. The first is, "why does Mars seem sometimes to move backwards"; and the second is "why is Venus called the Morning Star?"; Participants will try to answer the questions themselves. All will be revealed in the end. Classroom-ready handouts will be provided.

The North Carolina School of Science and Mathematics, Durham, NC

Instructor of Mathematics, NCSSM

Challenging the Mathematically Challenged and Others

**Leaders**
## Ray Williams

This session will explain how problem solving projects can allow students a great degree of success.

Ray has been a teacher of mathematics and science for the past 40 years and is currently the Head of Mathematics at St Mark's Anglican Community School in Perth, Western Australia. St Mark's mathematics classrooms all have TI-Nspire Navigator Wireless Networks and wireless data projection of PC Tablets. As well as presenting at international and national conferences, Ray has presented workshops to teachers and parents in Learning Technologies and... Read More →

Framework for a PBL Classroom

**Leaders**
## Carmel Schettino

Come hear the results of my dissertation research which organized some qualitative data (dealing specifically with gender) into an easy-to-understand framework for making your PBL classroom one that encourages student voice, individual and group agency, and can allow for both independent and interdependent mathematical skills to be appreciated even by the least able students. Teacher discourse moves and classroom behavior and culture skills can be the major factor in the relationships that are fostered in the PBL classroom.

Deerfield Academy, Deerfield, MA

With Problem-Based Learning as her specialization, Carmel obtained a Ph.D. in Math Education while teaching at the secondary level for many years. She is passionate about helping teachers grapple with the pedagogical and curricular questions that rise when PBL is brought into the math classroom. Other areas of expertise include gender, discourse, technological implications and PBL's relationship to the Common Core. Carmel has consulted for a... Read More →

Wednesday June 26, 2013 10:30am - 11:15am

The Forum

The Forum

Period 2 Course (select if the course you are registered for runs in the 2nd period)

Attend the Period 2 course that you have been placed in.

Wednesday June 26, 2013 10:30am - 12:30pm

Phelps Science Center

Phelps Science Center

The iPad as a Dynamic Math Learning and Teaching Tool
FluidMath is an iPad app that recognizes mathematics you write with your finger or stylus. Write an equation like y-3=2(x+1) and with a flick of the wrist you have a graph and table. FluidMath recognizes and graphs inequalities, systems of equations, implicitly defined functions, relations (like conic sections), polar functions, and discrete functions (like the Fibonacci Sequence). FluidMath incorporates a full CAS (Computer Algebra System) so it evaluates expressions and solves equations. You have to see it to believe it!

**Leaders**
## Nils Ahbel

Deefield Academy

Nils studied Mechanical Engineering and then earned his MBA from the University of Chicago in 1984, with a concentration in Microeconomics. Following graduate school he worked in Germany as a project engineer for five years and then, searching for his passion he returned to the US to give prep school life a try. Already in his second year of teaching he was chosen to be an author for the University of Chicago School Mathematics Project, working... Read More →

Wednesday June 26, 2013 11:30am - 12:15pm

The Forum

The Forum

With a Pinch of Salt

**Leaders** *PM*
## Philip Mallinson

Pour salt uniformly onto a cardboard shape and watch as the salt piles up like snow on a roof. Geometrically interesting patterns emerge as ridges form. We will experiment with a variety of shapes; convex and non-convex polygons, polygons with holes, circles, ellipses. Interesting questions about polygons and conic sections arise.

Retired

Philip started his math teaching career in 1970 at a tiny private school, now defunct, in Vermont. From there he went to the University of Washington in Seattle to earn a license to teach mathematics. He was an instructor briefly at the University of Washington and then taught at a private school in Seattle until 1994. At this point Tom Seidenberg lured him to Exeter where he has been ever since. He has been active with the geometry team of the... Read More →

Wednesday June 26, 2013 11:30am - 12:15pm

Phelps 215

Phelps 215

Period 3 Course (select if the course you are registered for runs in the 3rd period)

Attend the Period 3 course which you are registered for.

Wednesday June 26, 2013 1:30pm - 3:30pm

Phelps Science Center

Phelps Science Center

Mathematics Instructor, Fitch High School / Youngstown State University

I like to integrate problem solving, rich tasks, excellent questioning techniques, standards, and appropriate technologies. Technologies that I use include iPads and math apps, SMART Boards, and TI technologies. | I am currently working on some interactive activities that help students to better understand Transformational Geometry.

Parabolic Art with Desmos
This hands-on session will feature an activity designed for students to demonstrate a solid understanding of transformations of quadratic functions while being creative. Using Desmos, the fantastic and free, on-line graphing software, you will create your own artwork using only parabolas. Bring along your laptop or tablet and see what you can create!

**Leaders**
## Mary Bourassa

West Carleton Secondary School, Ottawa, Ontario, Canada

Mary currently teaches mathematics at West Carleton Secondary School in rural Ottawa, Canada. She is a strong advocate of the appropriate use of technology in the classroom. She has presented workshops across Canada, the US and Australia. She has also been involved in authoring high school mathematics textbooks and is a past director and Vice-President of the Ontario Association for Mathematics Education. Winner of several awards from NCTM and... Read More →

Wednesday June 26, 2013 1:45pm - 2:30pm

The Forum

The Forum

Bugs, Bagels, Surfaces and Topology

**Leaders**
## Diana Davis

The world is flat! Or maybe it's spherical -- or is it a torus? We will learn to determine the shape of our world using only string, paper, and common breakfast foods. This talk will be a gentle introduction to the subject of topology. I will show a video where a dancer dances on a flat two-holed torus. You will also learn an entertaining topological party trick, namely cutting a bagel into two linked rings.

There is only one person at the math conference this year who has been on "both sides of the Harkness table" for the Exeter math curriculum -- this lady! Diana graduated from PEA in 2003 and has worked at the math conference since 2004. She has taught math at Exeter as a teaching intern, and in the summer school. She loves to explain things, especially by drawing pictures. As a leader this year, she is teaching a course on the Exeter math... Read More →

Electric Vehicle Mathematics
With rising gas prices and growing environmental concerns, electric vehicles (EVs) and plug-in hybrids are gaining popularity in the U.S. In this talk we'll look at some simple mathematics related to operation of electric vehicles. How does the Prius manage multiple motive power sources? What is an "MPG"? How can we assess how much and how efficiently an EV uses energy? We'll try to answer these and other questions, using mathematics ranging from simple ratios to integral calculus.

**Leaders**
## Philip Rash

North Carolina School of Science and Mathematics, Durham, NC

Philip is in his twelfth year as a member of the NCSSM Mathematics faculty. A NC native, he earned Bachelor and Masters degrees in western NC, and has high school and university teaching experience prior to NCSSM. At NCSSM Philip teaches Precalculus, Calculus, Statistics, and some post-calculus elective courses. He's also very involved with math contests, including co-chairing the NC State Math Contest committee of the NC Council of Teachers of... Read More →

Wednesday June 26, 2013 2:45pm - 3:30pm

The Forum

The Forum

Communication, Collaboration and Creation: Integrating Emerging Technologies into the Classroom

Whether it is with a computer, the Internet, an iPad, or even a cell phone, technology has become fundamental to learning in the 21st century. As educators, it is our obligation to find inventive and intuitive methods for engaging our students. By utilizing emerging technologies we not only spark our students' interests, but we also enable them to become innovators, critical thinkers, and problem solvers. In this presentation, I will demonstrate the versatility of the Apple iPad - how it has been used in an art classroom, and how it can be easily integrated into a math curriculum. Learn how iPads have been used to optimize students potential in the classroom and through global communication, collaboration, and creation. Join the discussion and share your thoughts and experiences.

Wednesday June 26, 2013 3:45pm - 4:30pm

The Forum

The Forum

Gerrymandering and Geometry

Every 10 years the US congress re-apportions the House of Representatives. Once the House is re-apportioned then state legislatures re-draw the districts. The shapes of these districts can be very controversial and sometimes law suits are filed arguing that there has been gerrymandering. In this session we will talk about some of the geometry of determining if a district has been gerrymandered. Typically students can develop some of the standard methods on their own. We will look at some ideas that my students have proposed and compare those with what have been used in the courts.

Wednesday June 26, 2013 3:45pm - 4:30pm

Mayer Auditorium

Mayer Auditorium

Using Matrices to Create Beautiful Fractals

**Leaders**
## Maria Hernandez

Together we will explore an engaging precalculus project in which students use trigonometry, transformations, matrices and their imaginations to create beautiful fractal images. I will demonstrate how to use a free tool available on the web to create our fractals, and I will share sample student work and reflections on the project.

Mathematics Instructor, The North Carolina School of Science and Mathematics, Durham, NC

I have taught math for over 25 years and have focused my teacher development efforts on incorporating real-world modeling problems and the effective use of technology in the classroom . I have recently taught Complex Systems, Precalculus, Calculus and Multivariable at NCSSM. I am also involved in a math mentoring program for 8th grade girls and try to support Hispanic students through the NC Hispanic Youth Education Summit.

A Math Trail at the Phillips Exeter Academy

Starting at the entrance to the Phelps Science Center, we will take a mathematical walk to the Exeter Library. We will answer and pose mathematical questions related to architecture, public art, and patterns encountered along this path. This workshop will be of interest to teachers wanting to provide their students with opportunities to be active learners, to collaborate and to develop their own mathematical questions related to their world. Participants are encouraged to bring a mobile device.

Wednesday June 26, 2013 3:45pm - 5:30pm

Phelps Science Center

Phelps Science Center

How are The Big Bang Theory, The Beatles, Calculus, Precalculus, and Student Reports Related?

**Leaders**
## Tom Reardon

I like to integrate problem solving, rich tasks, excellent questioning techniques, standards, and appropriate technologies. Technologies that I use include iPads and math apps, SMART Boards, and TI technologies. | I am currently working on some interactive activities that help students to better understand Transformational Geometry.

Math and science video clips from The Big Bang Theory, an interactive calculus activity on derivatives, an interactive precalculus activity called The Oil Refinery Problem, a math modeling activity about temperature in Melbourne, electronic interactive student lab reports, and The Beatles "last" album. See how to play and interact with these activities with FREE software. Leave with these and several other free activities.

Mathematics Instructor, Fitch High School / Youngstown State University

Modeling the Suez Canal: A Million Dollar System of Linear Equations

**Leaders**
## Dan Teague

This talk will present a mathematical modeling activity based on the work of Phillip Griffiths for the Suez Canal Authority. We will use only high school algebra to develop a model of the traffic flow in the Suez Canal, and find an optimal solution for how to organize the flow of traffic. In addition to the mathematical ideas, the presentation will focus on the essential principles of mathematical modeling used in the process.

Instructor of Mathematics, NC School of Science and Mathematics

Instructor of Mathematics, NCSSM

Wednesday June 26, 2013 4:45pm - 5:30pm

Mayer Auditorium

Mayer Auditorium

Visualizations, Animations, and Simulations

Helping students to experience mathematics through dynamic applications is a game changer for your classroom. Technology allows for powerful mathematical learning and connections to occur through statistical simulations, interesting animations, and helpful visualizations of abstract concepts. This session will show several examples of each from algebra, geometry, trigonometry, calculus, probability, and statistics. You will see a number of demos (using free software) that have really helped our students visualize why things work.

Wednesday June 26, 2013 4:45pm - 5:30pm

The Forum

The Forum

Featured Speaker Presentation: Tools and Technology for Modern Math Teaching
Given the infinite buffet table of tools and technology to try out in the classroom, how do you decide what's worth your and your students' time? Without some kind of criteria guiding our selection, we'll spend years building up a dusty closet of tools that looked good, promised a lot, and didn't deliver. With that in mind, the presenter will describe "perplexity," one of the scarcest resources in the classroom, and how to pick tools and technology to maximize it.

Period 1 Course (select if the course you are registered for runs in the 1st period)

Attend the Period 1 course for which you are registered.

Thursday June 27, 2013 8:00am - 10:00am

Phelps Science Center

Phelps Science Center

Best Practices in a Flipped Classroom
Using Best Practices to effectively teach students in a "flipped"; classroom. Discussion of contemporary research findings, resources available, etc.

Visualizations, Animations, and Simulations
Helping students to experience mathematics through dynamic applications is a game changer for your classroom. Technology allows for powerful mathematical learning and connections to occur through statistical simulations, interesting animations, and helpful visualizations of abstract concepts. This session will show several examples of each from algebra, geometry, trigonometry, calculus, probability, and statistics. You will see a number of demos (using free software) that have really helped our students visualize why things work.

Thursday June 27, 2013 8:15am - 9:00am

The Forum

The Forum

Cellular Automata and Genetic Algorithms

**Leaders**
## Dan Teague

During the past 20 years, computer intensive areas of mathematics have grown increasingly important in modeling out world. For the past three years, NCSSM's modeling teams have won modeling contests using genetic algorithms and cellular automata models. This talk will present at an introductory level the basic ideas of these new techniques in modeling.

Instructor of Mathematics, NC School of Science and Mathematics

Instructor of Mathematics, NCSSM

Two Cool Planet Problems that will Challenge Your Trig Students
Two problems will be presented that challenge students with unconventional applications of familiar trig functions. The first is, "why does Mars seem sometimes to move backwards"; and the second is "why is Venus called the Morning Star?"; Participants will try to answer the questions themselves. All will be revealed in the end. Classroom-ready handouts will be provided.

**Leaders**
## Floyd Bullard

The North Carolina School of Science and Mathematics, Durham, NC

Instructor of Mathematics, NCSSM

Thursday June 27, 2013 9:15am - 10:00am

The Forum

The Forum

The North Carolina School of Science and Mathematics, Durham, NC

Instructor of Mathematics, NCSSM

Thursday June 27, 2013 9:15am - 10:00am

The Forum

The Forum

An Alternative to Precalculus

**Leaders**
## Nils Ahbel

Nils studied Mechanical Engineering and then earned his MBA from the University of Chicago in 1984, with a concentration in Microeconomics. Following graduate school he worked in Germany as a project engineer for five years and then, searching for his passion he returned to the US to give prep school life a try. Already in his second year of teaching he was chosen to be an author for the University of Chicago School Mathematics Project, working... Read More →

What to do with students who struggle in Algebra II? In this CwiC session Nils will share highlights of a year-long course he has written, designed specifically to meet the needs of these students. This course focuses on rich applications to explore the follow topics: transformations of functions, trigonometry, sequences, exponential and logarithmic functions, probability and simulation, and statistics. The course includes problem sets and solutions, PowerPoints and Excel files, data files in Fathom format, and instructional movies. The course is being used by a number of schools, is on-line, and free (http://www.ahbel.com/alternative-to-precalculus/).

Deefield Academy

Gerrymandering and Geometry
Every 10 years the US congress re-apportions the House of Representatives. Once the House is re-apportioned then state legislatures re-draw the districts. The shapes of these districts can be very controversial and sometimes law suits are filed arguing that there has been gerrymandering. In this session we will talk about some of the geometry of determining if a district has been gerrymandered. Typically students can develop some of the standard methods on their own. We will look at some ideas that my students have proposed and compare those with what have been used in the courts.

Thursday June 27, 2013 10:30am - 11:15am

The Forum

The Forum

Period 2 Course (select if the course you are registered for runs in the 2nd period)

Attend the Period 2 course that you have been placed in.

Thursday June 27, 2013 10:30am - 12:30pm

Phelps Science Center

Phelps Science Center

Charlotte Latin School, Charlotte, NC

Using Matrices to Create Beautiful Fractals
Together we will explore an engaging precalculus project in which students use trigonometry, transformations, matrices and their imaginations to create beautiful fractal images. I will demonstrate how to use a free tool available on the web to create our fractals, and I will share sample student work and reflections on the project.

**Leaders**
## Maria Hernandez

Mathematics Instructor, The North Carolina School of Science and Mathematics, Durham, NC

I have taught math for over 25 years and have focused my teacher development efforts on incorporating real-world modeling problems and the effective use of technology in the classroom . I have recently taught Complex Systems, Precalculus, Calculus and Multivariable at NCSSM. I am also involved in a math mentoring program for 8th grade girls and try to support Hispanic students through the NC Hispanic Youth Education Summit.

Thursday June 27, 2013 11:30am - 12:15pm

The Forum

The Forum

Period 3 Course (select if the course you are registered for runs in the 3rd period)

Attend the Period 3 course which you are registered for.

Thursday June 27, 2013 1:30pm - 3:30pm

Phelps Science Center

Phelps Science Center

Exeter Math From Both Sides of the Harkness table

**Leaders**
## Diana Davis

I learned math using Exeter's word-problem-based curriculum, and then returned to teach math at Exeter. I'll talk about my experience on each side of the curriculum, and the differences between being a successful Exeter math student and an effective teacher.

There is only one person at the math conference this year who has been on "both sides of the Harkness table" for the Exeter math curriculum -- this lady! Diana graduated from PEA in 2003 and has worked at the math conference since 2004. She has taught math at Exeter as a teaching intern, and in the summer school. She loves to explain things, especially by drawing pictures. As a leader this year, she is teaching a course on the Exeter math... Read More →

How are The Big Bang Theory, The Beatles, Calculus, Precalculus, and Student Reports Related?
Math and science video clips from The Big Bang Theory, an interactive calculus activity on derivatives, an interactive precalculus activity called The Oil Refinery Problem, a math modeling activity about temperature in Melbourne, electronic interactive student lab reports, and The Beatles "last" album. See how to play and interact with these activities with FREE software. Leave with these and several other free activities.

**Leaders**
## Tom Reardon

I like to integrate problem solving, rich tasks, excellent questioning techniques, standards, and appropriate technologies. Technologies that I use include iPads and math apps, SMART Boards, and TI technologies. | I am currently working on some interactive activities that help students to better understand Transformational Geometry.

Mathematics Instructor, Fitch High School / Youngstown State University

Thursday June 27, 2013 1:45pm - 2:30pm

The Forum

The Forum

CAS (Computer Algebra System) Ideas that Happened at Lunch at Exeter Last Year

**Leaders**
## Tom Reardon

I like to integrate problem solving, rich tasks, excellent questioning techniques, standards, and appropriate technologies. Technologies that I use include iPads and math apps, SMART Boards, and TI technologies. | I am currently working on some interactive activities that help students to better understand Transformational Geometry.

See a few of my favorite CAS activities. Two of them were inspired at lunch at Exeter last year. See how to utilize CAS for exploration, observing patterns, and assisting with proof. We will work with algebra but also connect algebra and geometry.

Mathematics Instructor, Fitch High School / Youngstown State University

Thursday June 27, 2013 2:45pm - 3:30pm

The Forum

The Forum

GeoGebra 5.0 - 3D Functionality
Learn about the 3D functionality in GeoGebra 5.0, currently in public beta testing. New features include three dimensional objects (planes, pyramids, prisms, spheres, cylinders, and cones), curves and surfaces, and the ability to rotate the view, among many others. While this is a beta version, it is quite stable (most of the time!) and suitable for use in a classroom setting.

**Leaders**
## June Patton

June has been teaching math for thirteen years, and is currently the instructional technology specialist for her high school. Before teaching, she worked in the chemical and computer software industries. Her primary interest is in integrating technology into the mathematics classroom, and she has several years of experience working with GeoGebra and other software packages.

A Great STEM Project for the Algebra Classroom

**Leaders**
## Jonathan Choate

This session will show how students in an integrated STEM Algebra2/Chemistry course built a solar oven. The project made use of what students had learned about parabolas, what they had learned about energy transfer and what they had learned about the design and construction process as part of the technology and engineering component of the course.

Groton School, Groton, MA

Jonathan has taught mathematics at Groton School since 1966. He is the co-author of The Dynamics Toolkit, four books covering topics in fractal geometry and chaos theory. He has served on both NCTM's Algebra and Discrete Mathematics Task Forces. His column, Geometer's Corner, is a regular feature in COMAP's Consortium newsletter, and he has created a web site dedicated to the teaching of three-dimensional geometry which can be found at... Read More →

Thursday June 27, 2013 3:45pm - 4:30pm

Mayer Auditorium

Mayer Auditorium

Rubik's Cube & Mathematics, History, and Lore

**Leaders**
## Ian Winokur

The mathematics of the Rubik's Cube is as fascinating as its pop culture appeal. In this CwiC session I will share some of the mathematics involved in calculating how many different scrambles there are (roughly 43 quintillion!) and the recent discovery of "God's Number"; for the Cube. You will learn a brief history of the cube and see some appearances of the cube in TV, movies, and art. Don't miss seeing the cube being solved (live) in about 20 seconds!

Greenfield Community College

Ian has been teaching mathematics since 2001 at the high school and college level. He has been at Greenfield Community College since 2009. He is interested in the use of technology to improve student learning. Ian first solved a Rubik's Cube in 2003 and has been hooked ever since. He has competed in about a dozen official tournaments. His fastest average in a competition was 16.53 seconds.

Thursday June 27, 2013 3:45pm - 4:30pm

The Forum

The Forum

2013 AP Calculus Grading

**Leaders**
## Ken Collins

Ken has a B.S. in physics and M.S. in math from BPI/NYU and a Ph.D. from Purdue University. He has taught for forty seven years in middle school through graduate school. His focus is on effective use of technology in teaching and learning mathematics. He teaches calculus, precalculus, and algebra II with extensive use of calculator technology. Ken gives five to ten workshops each year at regional and national conferences of NCTM, ACA, and T^3. He... Read More →

This session will review the grading of 2013 AP Calculus exam and share the rubrics that were used during the grading. It will include suggestions for teachers based on the grading and a discussion period if time permits.

Charlotte Latin School, Charlotte, NC

Thursday June 27, 2013 3:45pm - 5:30pm

Phelps Science 123

Phelps Science 123

Guessing and Checking - A Bridge to Algebraic Thinking

**Leaders**
## Karen Lassey

Beginning algebra students, even those who are very good at solving problems mentally, often have a difficult transition to using algebraic expressions and equations. We will explore some scaffolding that can help them smoothly gain fluency in this "new language."

MA, SMA, Phillips Exeter Academy

Math, teaching, social justice, kayaking, gardening, politics...

Miles per Gallon vs. Gallons per Mile
Which measure is more helpful in determining fuel efficiency and savings in carbon emissions? What illusions are created by the MPG rating? And how do they come up with those overall MPG averages for vehicles? Why is there a move afoot to require car manufacturers to post on the new car sticker a measure such as gallons per thousand miles? These and other questions will be investigated in this session which uses mathematics accessible at the first and second year algebra level.

**Leaders**
## Kevin Bartkovich

MA, Phillips Exeter Academy

Kevin was a teacher for 17 years at the N.C. School of Science & Math, where he was part of a department that developed curricular materials for contemporary secondary school math and wrote textbooks for precalculus and calculus. He then embarked upon a 10-year adventure in Uganda where he and his wife J.D. established Christ School - Bundibugyo, a boarding secondary school located in a remote village near the border with Congo. Kevin and... Read More →

Thursday June 27, 2013 4:45pm - 5:30pm

The Forum

The Forum

Repeating decimals, magic squares and conic sections
We will begin by using technology to examine the period of the decimal expansion of fractions of the form 1/n, where n is a positive integer. We will establish some rules that can be used to predict the period without having to convert the fraction to decimal form. Our analysis will lead to a natural connection between certain fractions of the form 1/n and magic squares. We will end our exploration with a seemingly bizarre and stunning appearance of an ellipse and a hyperbola created from certain fractions.

Thursday June 27, 2013 4:45pm - 5:30pm

Mayer Auditorium

Mayer Auditorium

Dinner

Join us for our famous lobster dinner in the dining hall.

Thursday June 27, 2013 6:30pm - 8:00pm

Elm Street Dining Hall

Elm Street Dining Hall

Featured Entertainer: Magic and Merriment
One of only 50 living sword swallowers in the entire world, Roderick Russell has been described as strangely sophisticated, successfully blending suggestion and psychology with his own personal mind-over-body techniques to present a show that bravely pushes the limits of the possible - both physically and mentally. Presenting the most dangerous and bizarre feats with wit, charm and style, Roderick also deftly navigates deep into the minds of the audience to create the most personal and profound type of theater experience. Call him a sword swallower. Call him a mentalist.

Conference Checkout

Stop by the Agora and drop off your luggage and dorm key. Plan to pick up your check out package which includes your clock hour letter, certificate of participation and information about the 2014 conference.

If you drove to the conference, you can check out in the Agora and bring your luggage to your car.

Period 1 Course (select if the course you are registered for runs in the 1st period)

Attend the Period 1 course for which you are registered.

Friday June 28, 2013 8:00am - 9:15am

Phelps Science Center

Phelps Science Center

Period 2 Course (select if the course you are registered for runs in the 2nd period)

Attend the Period 2 course that you have been placed in.

Friday June 28, 2013 9:20am - 10:35am

Phelps Science Center

Phelps Science Center

Period 3 Course (select if the course you are registered for runs in the 3rd period)

Attend the Period 3 course which you are registered for.

Friday June 28, 2013 10:40am - 11:55am

Phelps Science Center

Phelps Science Center