299

8:00-9:00

Exploring Probability: From Hands-On Experiments to Computer Simulations
Lingguo Bu, Maria L. Fernández and Erhan Haciomeroglu

All

Marriott Ballroom 9/10 -Marriott Downtown

How is a fourth-grade Track Meet game related to the World Series problem and the Fermat-Pascal Problem of Points in probability theory? Using student-generated data and computer simulations, we explore the connections of the problems, the implications of the contexts, and the underlying mathematical structure.

303

What the Beatles, Hockey Players, and Rice Paddies Teach Us
John A. Anderson

All

Wabash Ballroom 3 CC

Malcolm Gladwell’s book Outliers takes a fresh look at how success is achieved. This presentation will engage participants in conversation and contemplation regarding the conclusions of Gladwell’s work. The roles that culture, opportunity, and practice play in achieving mathematical success will be explored.

305

Do the Math: Using Engineering to Integrate and Inspire
Elizabeth Parry & Christine D. Thomas

3-5, PreK to 2

Marriott Ballroom 6 -Marriott Downtown

Using engineering principles and the design process can be a powerful tool to reach all students. Engineering design challenges require the application of all subjects, particularly math. Participants will learn how to use engineering in the classroom to integrate math with other subjects through hands-on, inquiry-based design activities.

318

Who Owns What? Vertical Teaming and Curriculum Alignment
April Harvey, Stacey Delmhorst and Michele Niedermeier

6-8

103/104 CC

The presenters will share how Westport School District realigned the middle school math curriculum through a vertical-teaming process. Attendees will learn how teachers determined who "owns" which concept and how Connected Math, HeyMath!, and common assessments are now used in the curriculum.

320

8:00-9:00

Mathematics of Game Shows
Bowen Kerins and Kevin Waterman

9-12, 6-8

125 CC

How does the banker come up with offers on Deal or No Deal? Where should you drop Plinko chips to win the most money? These questions lead to topics in probability and statistics. The speakers will examine game shows from two perspectives: those who play the game, and those who design the games. Audience members will win prizes!

322

8:00-9:00

Proof or Consequences: Interactive Geometry Investigations Lead to Proof
Paul A. Kennedy and Maurice Burke

9-12

Sagamore Ballroom 2 CC

Interactive geometry software is an excellent vehicle for discovering essential definitions, axioms, and theorems in geometry as well as foundational concepts in algebra. This presentation will focus on how to use interactive geometry to bridge the gap between investigation and formal proof in high school algebra and geometry.

323

8:00-9:00

Calculus Animations with Geogebra  Kevin W. Hopkins

Higher Ed, 9-12

111/112 CC

Geogebra is a free, Web-based software that does interactive geometry and graphing. The dynamic feature of the software allows for animations that can illustrate a variety of topics in calculus. This talk will show some of the animations the speaker has used in calculus and feature some instruction on how to create such animations. Come with ideas for creating additional animations.

324

8:00-9:00

The Geometry of Perspective
David A. Thomas

Higher Ed, 9-12

Grand Ballroom X -JW Marriott

The geometric basis of architectural drawing was first developed by Leon Battista Alberti in Renaissance Italy in the 1400s. Using The Geometers Sketchpad, this presentation will discuss Alberti's method and explore its mathematical basis using the cross ratio and related concepts.

326

 8:00-9:00

How to Train Your Draggin': Functional Thinking with Dynamic Sketches Michael Todd Edwards and Jeffrey J. Wanko

, 9-12

123 CC

This interactive presentation will explore several freely available dynamic applets that generate plots of ordered pairs by dragging geometric objects. By applying educative dragging, the speakers will build algebraic models to fit these plots while collaboratively generating functions that both surprise and satisfy mathematically.

333

 8:30-10:00

STEM Takes Flight
Tammy L. Jones

3-5, PreK to 2

Grand Ballroom VII -JW Marriott

Science, technology. engineering. and mathematics (STEM) integrations in a classroom offer a curriculum that makes connections, emphasizes questioning and inquiry, and allows students to apply engineering design and problem solving. STEM content comes alive as participants build an airplane and create a simple flight plan. This lesson seamlessly weaves together the four subdisciplines that comprise the STEM acronym.

345

 8:30-10:00

Yes, All Middle School Students Can Reason Proportionally
Michael Lutz

6-8

Sagamore Ballroom 7 CC

Experience as a learner an engaging lesson that uses a TI-73 with a middle school teacher as facilitator. The lesson was developed by middle school math teachers, English language (EL) teachers, and EL experts in a collaboration between TODOS and Texas Instruments.

350

 8:30-10:00

Slope Explorations: Slippery, But So Much Fun!
Elizabeth M. Gasque and Judith Hicks

9-12, 6-8

124 CC

Use hands-on data collection activities and TI-Nspire explorations to help students understand and interpret slope in real-world contexts.

353

 8:30-10:00

Exploring Conic Sections from Paper Folding to TI-NSpire™ Handheld Tools
Arthur T. Mabbott

9-12

Marriott Ballroom 5 (Marriott Downtown)

Participants will develop a deeper understanding of the definition of parabolas, ellipses, and hyperbolas by paper folding; discover that what looks like each conic section is really the "envelope" of tangent lines; find where the loci of points actually are; mimic the same actions on the TI-NSpire; and compare and contrast the ellipse with the hyperbola.

403

10:30-12:00

Mathematics in the Sky
William C. Luke and Gregory Luke

9-12, 6-8

Grand Ballroom VII -JW Marriott

This presentation will show instructors new ways to teach distance-rate-time problems, using real-life air traffic control.

404

10:30-12:00

Using Free Resources from NCTM to Promote an Understanding of Proportion
G. Patrick Vennebush

9-12, 6-8

Sagamore Ballroom 5 CC

Solve a mystery with proportional reasoning. Participants will use clues from the Highway Robbery lesson on the Illuminations Web site, illuminations.nctm.org, to nab a criminal. They will also investigate online tools that develop students’ conceptual understanding of proportions. All resources for this workshop are available free from NCTM. More

406

 10:30-12:00

Nspiring Investigations of Quadrilaterals and Their Properties
Ilene Hamilton

9-12

Marriott Ballroom 7/8 -Marriott Downtown

Participants will use the geometry utility on the TI-Nspire handheld to construct various quadrilaterals and transform them dynamically to explore properties of the quadrilateral family. This hands-on presentation will focus on an interactive approach to enhance your students' abilities to visualize, conjecture, and prove properties they have discovered.

407

10:30-12:00

Using Super Mario with Falling Objects and Quadratics
Jack Burke

9-12

103/104 -JW Marriott

Attendees will work on a series of problems that model the motion of falling objects, using the Super Mario character. Mario’s adventures will model quadratic and linear-quadratic systems of equations. Attendees will use the graphing calculator to solve these systems.

408

10:30-12:00

Building Conway’s Pencil Models
Charles F. Schwartz

9-12, Higher Ed

Grand Ballroom IX -JW Marriott

John Conway of Princeton invented a class of models built of hexagonal prisms. Participants will learn to build these three-dimensional geometric models from pencils, explore symmetries of these models, and understand the relationship between this model and the cubic lattice. Models may be viewed at the Web at http://www.rider.edu/172_5403.htm

409

 10:30-12:00

The Fundamental Theorem of Calculus: Integration and Differentiation, Making the Connections
Mike Koehler

Higher Ed, 9-12

203/204 CC

The NCTM Standards encourage mathematical discovery. This hands-on workshop, will have participants apply modular arithmetic to algebra, geometry, calculus, number theory, and discrete mathematics. Detecting patterns, using analog clocks, and a CAS graphing calculator will help participants explore an exciting world of possibilities.

410

 10:30-12:00

Modular Arithmetic: A Delightful Excursion into Mathematical Discovery

Jay L. Schiffman

, Higher Ed

144/145 CC

Geometry is everywhere! Take a tour with the speakers. They will actively explore the geometry of your environment—in architecture, natural formations, and interior design. Using interactive geometry software with embedded photos and movies, they will make strong connections to number, measurement, and algebra through the work of students of a wide range of ages and ability levels

420

10:30-12:00

Student-Created Geometry Books for Kids: A Transforming Partnership
Sally Kleiner, Virginia L. Keen and Kimberly S. Smethurst

PreK to 2,

Grand Ballroom X -JW Marriott

Hear three perspectives on a university-school project that builds content knowledge in preservice teachers and their pen pals while offering both a view into appealing activities—teaching children and being a college student. Pen-pal letters, student-created geometry books, and a school visit are part of this exciting partnership.

422

11:00-12:00

Developing Algebra, Number Sense, and Geometry through NCTM’s Free E-Examples
David Barnes

PreK to 2, 3-5

103/104 CC

Make your classroom come alive while developing algebra, number sense, and geometry concepts through NCTM’s E-examples! From geoboards and tangrams to hundreds boards and interpreting graphs, the newly revised applets give you online resources to demonstrate important topics in your classrooms and for students to explore on their own. Facilitate guided reflections with these applets Monday!

429

11:00-12:00

Building Number Sense with a Balance of Paper, Pencil, and Calculator
Joan J. Vas

6-8, 3-5

123 CC

This highly interactive session will highlight activities and strategies that build a sense of number. Activities will indicate when using a calculator is appropriate and when it is not necessary. Participants will leave with a comprehensive handout ready to use in class the next day.

434

11:00-12:00

Teaching and Learning Rational Numbers for the Internet Generation
Eric Milou

6-8

Hall F/G CC

This presentation will examine how to engage, encourage, and teach rational numbers to the Internet Generation. Participants will receive videos, Web site addresses, social networking opportunities, and motivational strategies for students in grades 3–8 that can lead to building better number sense and understanding of rational numbers.

435

11:00-12:00

Integrating The Geometer’s Sketchpad® (GSP) in Understanding the Pythagorean Theorem
Olufunke Adefope and Mi Yeon Lee

6-8

125 CC

This presentation will focus on discussing the construction of a GSP-based unit designed to enhance preservice teachers’ understanding of the Pythagorean theorem. Students often learn the Pythagorean theorem through memorization without understanding. Tasks and activities were developed to address geometric and algebraic understanding using GSP.

436

11:00-12:00

Transform Your Geometry Teaching with These Free, Online Resources
Steve Risberg and Annie Fetter

9-12, 6-8

128 CC

With more than a million pages of cataloged content, the Math Forum is home to a large variety of mathematics resources and lets you find reference materials, applets, activities, and problems easily that engage your students in exploring topics in geometry. Technology helps make the material come alive and allows for dynamic investigations.

437

11:00-12:00

Video Games for Mathematics Education: They Will Soon Get Better

Keith Devlin

9-12, 6-8

Grand Ballroom V -JW Marriott

A number of math-educational video games are available. Most focus on basic skills and are little more than a forced marriage of video games to traditional pedagogy. As our experience with the genre increases, we can expect to see some genuinely innovative new educational games. What pedagogic and design principles are educational video game developers currently following? How will they affect the way we teach?

438

11:00-12:00

Bringing Algebra and Geometry Together through Linear Algebra
Kevin Waterman, Stephanie Ragucci and Bowen Kerins

9-12

Grand Ballroom VIII -JW Marriott

Linear algebra can bring algebraic and geometric thinking together in ways that reinforce both. Participants will sample activities from a new, NSF-funded high school course that explores vector algebra and how matrices can represent transformations in a way that introduces computer graphics and animation. The only background required is second-year algebra.

441

11:00-12:00

Geometry and Technology: The Unit Circle and Geogebra
Zyad Bawatneh, Erhan Haciomeroglu and Deana L. Deichert

9-12

141/142 CC

Viewers will see the pencil-protractor method of using the unit circle to obtain the trigonometric functions. The lesson will then be taught using GeoGebra. With technology, the audience will discover that students can obtain a more clear understanding of where the trigonometric functions get their values, in a more accurate illustration.

442

11:00-12:00

How Graphing Technology Changes Teachers' Questioning
Daniel Ilaria

9-12

Wabash Ballroom 3 CC

The TI-Nspire provides teachers with a technology tool that can foster mathematical discourse through exploration. In order to promote conversation, the teacher's questions aim for eliciting students' thinking. Several questioning types will be shared for sample algebra and geometry classroom activities.

443

11:00-12:00

“Show Your Work!” Why This Is Not Enough with Wolfram|Alpha
Sarah K. Bleiler

9-12

Junior Ballroom C/D -JW Marriott

Do you assess your students’ understanding by telling them to show their work? Come see why Wolfram|Alpha, a computational Web site, might change the way you think about assessing your students. Learn alternative assessment strategies as well as ways to incorporate technology into instruction.

447

Online Learning and the Interactions While Learning Mathematics
Cherie Ichinose

All

Grand Ballroom VIII -JW Marriott

Research surrounding online learning has focused primarily on college courses where students’ learning is self-directed and requires limited interaction. This presentation will explore findings focused on high school students’ interactions with online content and the effect teacher and peer engagement has on their mathematical learning.

449

Time Travel with M.C. Escher from Islamic Art to Infinity
Carol D. Desoe

All

Junior Ballroom F -JW Marriott

Escher used Islamic art as a basis for creating intriguing masterpieces.   Participants will travel through a Powerpoint presentation of Escher's world to learn how to construct triangular and square grids, recognize patterns, arrange stars, use a "nibbling" technique to create Escher-like designs, and see images enhanced by Adobe Photoshop. Materials will be available.

459

12:30-1:30

Need Math Help? There May Be an App for That!
Tim Pelton and Leslee Francis Pelton

6-8, 3-5

Wabash Ballroom 3 CC

Thousands of "educational" math apps for the iPodTouch are available on the App store. How do you find the ones that work? The speakers will share an evidence-based rubric for evaluating apps and review a collection of free and low-cost math apps for learning. Finally, they will describe effective techniques for integrating apps into your classroom practice.

468

12:30-1:30

Learning Mathematics with Classroom Robotics
Rick Anderson

9-12, 6-8

Grand Ballroom I -JW Marriott

Discover how classroom robotics can motivate students to develop and apply mathematical knowledge as they program robots. Example activites integrate ideas from algebra, geometry, measurement, computer science, and more.

469

 12:30-1:30

Research, Algebra, and Technology: Changing Practice to Enable Learning
Gail Burrill

6-8, 9-12

500 Ballroom CC

Research about teaching and learning algebra offers suggestions that we have not incorporated into how we design curriculum and help teachers think about algebra instruction. New tools and ways of thinking based on this research could make a difference in what students learn.

470

 12:30-1:30

Using Your Graphing Calculator to Explore Translations, Rotations, and Reflections
Fred Decovsky

6-8, 9-12

Marriott Ballroom 6 -Marriott Downtown

The "list" and "stat plot" features on the TI-84 are used to graph objects. By experimenting with changes in the x and y values, participants will discover and develop rules to create translations, reflections, and rotations.

474

 12:30-1:30

Sliding through Trig and Precalculus: Animations to See Patterns
Ruth Dover

9-12

Junior Ballroom G/H -JW Marriott

Dynamic computer animations help students visualize concepts, patterns, and change in mathematics. The speaker will compare several software programs, show examples, and discuss possibilities for using animations effectively in the classroom with students.

476

 12:30-1:30

Strengthening Mathematical Knowledge through Video Creation
Virginia L. Keen, Jennifer L. Bucher and Katie Ertle

Junior Ballroom C/D -JW Marriott

Come hear the perspectives of an instructor and her students as they describe creating and making available online videos, in which students articulate mathematics concepts for their peers with words, pictures, and symbols. The speakers will share example videos and critique the assessment rubric.

477

12:30-1:30

Building Math Skills through Interactive Calendar Activities in Grades K–2
Dennis E. Adams

PreK to 2

103/104 -JW Marriott

Learn how brief, daily, calendar-based activities build students’ math skills. You will learn about activities to preview and review important skills throughout the year. The activities use visual models and integrate problem solving with skill building, many featuring engaging patterns on a calendar grid. Participants can access all activities online.

499

3:30-4:30

Transform Your Geometry classroom by Using Transformational Geometry and Technology
Raymond J. Klein

9-12

126/127 CC

Many geometry classrooms cover transformational geometry, but few use it as an integral part of their curriculum. This hands-on workshop will teach participants how to do transformational geometry on the TI-Nspire calculator and how to incorporate this important, NCTM-recommended approach to learning into their present curriculum.

503

 3:30-4:30

Grace under Fire: Narratives from Women Succeeding in STEM Field.

Jill M. Drake and Ursula Thomas

All

Sagamore Ballroom 2 CC

Based on the real-life narratives of women of diverse ethnic and racial backgrounds who have learned to flourish in the science, technology, engineering, and mathematics (STEM) fields, this presentation will describe authentic pathways for helping girls of diverse ethnic and racial backgrounds choose and then succeed in STEM fields.

513

 3:30-4:30

Teach Algebra in Elementary School? Seriously?
Jennifer Wall and Christine Benson

3-5

Marriott Ballroom 3/4 -Marriott Downtown

Algebraic reasoning needs to be fostered early, but how do you do that? You know that resources must be out there to help, but you're too busy to go find them! Come learn about various online resources from Illuminations, the Library of Virtual Manipulatives, and ExploreLearning to help your elementary school students learn to reason algebraically.

516

 3:30-4:30

Beyond Accomodations: Common Sense Differentation and Universal Design for Learning
Jessica Hunt

6-8

Grand Ballroom VI -JW Marriott

Come learn how to provide effective mathematics instruction for all students in inclusive settings using universal designs for learning and differentiation. The speaker will demonstrate learning supports, technology integration, and differentiation through example tasks involving area and volume. She will also share practical tools and resources.

521

 3:30-4:30

Transformers
Candide Walton and Tamela Hanebrink

6-8

Grand Ballroom III -JW Marriott

Practitioners will participate in hands-on transformational geometry activities—flips, slides, turns,and so on —using a variety of tools including patty paper, geodot paper, grid paper, and Miras. The presenter will demonstrate various geometric transformations using Geogebra software.

523

 3:30-4:30

America’s Next Top Modelers: How to Excite Students about STEM
Micah S. Stohlmann and Tamara Moore

9-12, 6-8

123 CC

Do you want activities that increase students’ problem solving skills, communication skills, and mathematical understanding? Modeling-eliciting activities (MEAs) are a way to integrate science, technology, engineering, and mathematics (STEM) concepts. MEAs are realistic, interdisciplinary, team-based problems. Participants will receive MEAs and ideas on how to implement them in their curriculum.

525

 3:30-4:30

Making (Informed) Mental Math Decisions: Three Factors for Appropriate Use
James R. Olsen

9-12, 6-8

140 CC

Students making informed choices between mental math, paper and pencil, and calculator or technology methods is not as easy as one might think. The speaker will look at three factors that students and citizens need to consider when choosing a calculation method. He will also address teachers' considerations and the two-part, calculator-and-no-calculator  test.

528

 3:30-4:30

Power Parametrics: Modeling Motion with the TI-Nspire™

John Y. Dusenberry

9-12

101/102 -JW Marriott

What path does a point on a rolling circle trace? Do particles on parametric paths collide or do their paths simply intersect? Is the hit a homerun? Help your students harness the power of parametric equations. Interactive action-consequence documents for the TI-Nspire that allow students to master parametric equations will be demonstrated.

533

 3:30-4:30

Geometric Constructions: Centered on the Eüler Line
Astrida Cirulis

, 9-12

Grand Ballroom X -JW Marriott

The Eüler line connects altitude, median, and perpendicular bisector constructions in triangles and incorporates algebraic and geometric proofs. This presentation will discuss a unit for discovering the centers of triangles using compass, Mira, and Sketchpad, as well as misconceptions, extensions, and the unit's use in preservice teaching courses.

542

 3:30-4:30

Connecting Proportional Reasoning and Algebraic Thinking
Gloria Beswick and Rhonda Niemi

6-8, 3-5

Marriott Ballroom 1/2 -Marriott Downtown

Seeing multiplicative relationships and reasoning proportionally is essential to students' success in algebra. Participants will use the TI-73 Explorer graphing calculator to engage in hands-on activities designed to develop proportional reasoning from a very beginning level. We will focus on the connection to algebraic thinking through lines and their slopes.

550

 3:30-4:30

Improving Assessment and Inquiry with Technology: TI-Nspire™ Navigator and SMART™
Sean Bird

9-12, 6-8

Sagamore Ballroom 3 CC

Experience hands-on activities with the latest interactive, handheld learning tool. Hear about inquiry learning resources from NASA, Texas Instruments, and publishers who focus on improving the instruction of high school math topics. See how to use the TI-Nspire Navigator with interactive whiteboards for formative assessment or review and preparation for high-stakes tests.

551

 3:30-4:30

Real-World Lessons the Mathalicious Way

Karim Kai Logue

9-12, 6-8

205/206 CC

How can we use the iPad to teach proportions? How can we use hip-hop to teach algebra? This presentation will explore how to structure lessons around the real-world topics that you and your students care about, as well as how to cover multiple standards at the same time. Think you have to choose between rote skills and applications, or between boring and exciting? You don't—seriously.

Listen to his presentation at Math 2.0 Live!

556

 3:30-4:30

Modeling Gravity and Friction: A STEM Activity Using Trigonometry John H. Lamb

9-12

Marriott Ballroom 5 -Marriott Downtown

Participants will experience a science, technology, engineering, and mathematics (STEM) activity, implemented with students and preservice and in-service teachers, that uses a TI-84, a Calculator Based Ranger, and a computer to generate a trigonometric function modeling the effect of gravity and friction on a ball traveling on a curved surface. Handouts will be available.

557

 3:30-4:30

NCTM Committee: Building Mathematics Learning Communities Using NCTM Reflection Guides
NCTM Professional Development Services Committee

Grand Ballroom IV -JW Marriott

Participants will actively engage in exploring journal articles that have been enhanced with a Reflection Guide by NCTM’s Professional Development Services Committee. Facilitators will model the process of using the Reflection Guides to build school-based, professional learning communities. NCTM Reflection Guides are freely available online.

560

 3:30-4:30

STEM Education: Standards, Programs, and Then?
Don S. Balka

All

125 CC

Programs for science, technology, engineering, and mathematics (STEM) education have rapidly increased over the past few years. School districts across the United States have prepared standards, which often begin in the middle grades. What do they look like? What is happening? Where are we going with STEM?

572

 3:30-4:30

Technology, Tangibles, and Simple Polyhedra
Jane A. Whitmire

6-8

Marriott Ballroom 3/4 -Marriott Downtown

Eüler's formula is true for regular platonic solids. It turns out, rather beautifully, that it is true for pretty much every polyhedron. The speaker will guide participants through a lesson that prompts students to discover these properties using computer software and the PolyPackPlus. A complementary handout will outline activities.

576

3:30-4:30

Meeting Math Standards with Free IWB Resources and Tools
Heather Monks

9-12, 6-8

103/104 CC

Learn about free resources and tools for the interactive whiteboard that help meet state math standards. This session features digital resources and classroom technology that bring algebra, geometry, and other concepts alive. Teachers will build lessons, share best practices, and gather ideas for individualized instruction using the interactive classroom. Enter to win a set of learner response systems.

577

3:30-4:30

Proportional Reasoning, Pick's Theorem, and an Open-Source Graphics Tool
Brian H. Giza and Olga Kosheleva

6-8, 9-12

140 CC

Pick's theorem is a method for calculating the area of complex polygons by relating points inside the area of a grid to those on its boundary. The open-source graphics editor GIMP allows users to do this with remotely sensed images. This demo ties to proportional reasoning, geometry, and student's understanding of geography

578

 3:30-4:30

Space Math@NASA and NASA eClips™ : Real-World Algebra Connections
Sten Odenwald, Sharon Bowers and Elaine Lewis

6-8, 9-12

Grand Ballroom VIII -JW Marriott

Do your students ask why they should learn algebra and when they might use it? Space Math@NASA, paired with NASA eClips™ video segments, answers these questions by building real-world connections and relevance to algebra content. In addition to these free NASA resources, you will learn how to “power up” your lessons through the use of other Web 2.0 tools such as online models and simulations.

582

3:30-4:30

Variability Is the Spice of Life
Robert Glasgow

9-12, Higher Ed

120 CC

According to the American Statistical Association's GAISE document, variability should be the focus of all statistics education. But how well do we and our students understand variability? This presentation will explore the pesky nature of variability while discovering important tools for dealing with it as we organize, represent, and analyze data.