Mathematics & Science Institute 2007

July 23-25, 2007

Geometry

A field of mathematics motivated by the real world, but connected at the deepest levels to abstract thinking, geometry is the oldest mathematical subject. The following sessions center upon topics that pertain to this important subject. Note that when possible presenters have indicated the typical middle, secondary, or college level courses that their work is germain to. Note that morning sessions run from 9:00 until 10:50 am and afternoon sessions from 1:00 until 2:50 pm.

Geometry Sessions

Monday, July 23, 2007, Morning Sessions

[Session #43] Calculus Problems for the Geometry Classroom I
(Linked to sessions #44 and #45)
In this session, working in small groups and using a Socratic seminar format, participants will determine the area under the parabola and the cubic, exactly and without approximation or limits, using only the concepts and methods of a high school Geometry course. We will take a fresh look at how the area under a polynomial curve is determined by only a few elementary transformations. This material is part of an on-going program to develop advanced topics in secondary mathematics from an elementary standpoint.
Courses of Interest:Geometry
Leader: Bill Crombie, (bio), Rutgers University

Monday, July 23, 2007, Afternoon Sessions

[Session #31] Beginning Geometer's Sketchpad I
(Linked to sessions #32 and #33)
Dynamic geometry software is one of the greatest tools for teaching nearly every math course and you have been meaning to learn Sketchpad, but just haven not had the time and opportunity, right? Well, here it is. In this course we will explore this versatile software's tools, menus, buttons, animations, etc. Participants will create finished sketches to bring to their teaching in fall. Although we will use the Windows platform in this course, the work with the Macintosh is identical.
Courses of Interest: Algebra, Geometry
Leader: Audrey Weeks, (bio), Calculus & Algebra in Motion, Inc

Tuesday, July 24, 2007, Morning Sessions

[Session #6] Pentominoes: Toto, we're not in K-3 anymore
Explore pentominoes and their family, the polyominoes, in a new way. Go beyond tilings, perimeter, and area. Prove there are 12 pentominoes. Show that certain constructions are impossible. See connections to diverse math fields: symmetry, proportion, modular (clock) arithmetic, graphs, matrices, recursion, and other (seemingly) scary math concepts.
Courses of Interest: Algebra, Geometry
Leader: Bruce Baguley, (bio), Cascade Math Systems, LLC

[Session #24] Algebra & Geometry With Cutting-edge Graphing Calculator Technologies
Connections will be made between concept development in algebra and geometry using graphing calculators and other technology that will help increase student engagement and provide immediate feedback to teachers
Courses of Interest: Algebra I & II, Geometry
Leader: Terry Green, (bio), Texas Instruments

[Session #44] Calculus Problems for the Geometry Classroom II
(Linked to sessions #43 and #45)
In this session, working in small groups and using a Socratic seminar format, participants will determine the area under the parabola and the cubic, exactly and without approximation or limits, using only the concepts and methods of a high school Geometry course. We will take a fresh look at how the area under a polynomial curve is determined by only a few elementary transformations. This material is part of an on-going program to develop advanced topics in secondary mathematics from an elementary standpoint.
Courses of Interest:Geometry
Leader: Bill Crombie, (bio), Rutgers University

Tuesday, July 24, 2007, Afternoon Sessions

[Session #27] What's New from Texas Instruments?
Description: Come see what’s new from TI! In this session, you’ll discover new technology, resources, and activities for your classroom. This session is appropriate for secondary math and science teachers. No experience needed!
Courses of Interest:Geometry
Leader: Ellen Johnston, (bio), Texas Instruments

[Session #32] Beginning Geometer's Sketchpad II
(Linked to sessions #31 and #33)
Dynamic geometry software is one of the greatest tools for teaching nearly every math course and you have been meaning to learn Sketchpad, but just haven not had the time and opportunity, right? Well, here it is. In this course we will explore this versatile software's tools, menus, buttons, animations, etc. Participants will create finished sketches to bring to their teaching in fall. Although we will use the Windows platform in this course, the work with the Macintosh is identical.
Courses of Interest: Algebra, Geometry
Leader: Audrey Weeks, (bio), Calculus & Algebra in Motion, Inc

Wednesday, July 25, 2007, Morning Sessions

[Session #26] Integrating Real Interactive Geometry in your Classroom
Description: Do you ever wish the geometry software that you can use in the computer lab is also available on a handheld? Incorporating interactive geometry applications on a handheld gives students the ability to explore and connect geometric concepts without memorizing formulas all in a classroom experience. This session will explore geometry from multiple perspectives using classroom-ready activities. No experience needed.
Courses of Interest:Geometry
Leader: Ellen Johnston, (bio), Texas Instruments

[Session #45] Calculus Problems for the Geometry Classroom III
(Linked to sessions #43 and #44)
In this session, working in small groups and using a Socratic seminar format, participants will determine the area under the parabola and the cubic, exactly and without approximation or limits, using only the concepts and methods of a high school Geometry course. We will take a fresh look at how the area under a polynomial curve is determined by only a few elementary transformations. This material is part of an on-going program to develop advanced topics in secondary mathematics from an elementary standpoint.
Courses of Interest:Geometry
Leader: Bill Crombie, (bio), Rutgers University

Wednesday, July 25, 2007, Afternoon Sessions

[Session #33] Beginning Geometer's Sketchpad III
(Linked to sessions #31 and #32)
Dynamic geometry software is one of the greatest tools for teaching nearly every math course and you have been meaning to learn Sketchpad, but just haven not had the time and opportunity, right? Well, here it is. In this course we will explore this versatile software's tools, menus, buttons, animations, etc. Participants will create finished sketches to bring to their teaching in fall. Although we will use the Windows platform in this course, the work with the Macintosh is identical.
Courses of Interest: Algebra, Geometry
Leader: Audrey Weeks, (bio), Calculus & Algebra in Motion, Inc

Geometry Presenters

Bruce Baguley works for Cascade Math Systems, LLC. Bruce Baguley received a BA in Mathematics from Tulane University, an MS in Mathematics from MIT, and his teacher training from Heritage College in Toppenish, WA. While teaching elementary and middle school students, he became interested in showing math concepts using manipulatives rather than relying on memorizing formulas. He has given numerous workshops at math conferences over the past few years, showing people how to use manipulatives to represent math concepts from counting, through whole number, rational, and integer operations, to solving and graphing linear equations as well as proving number theory problems. His Geometry sessions: #6
Terry L. Green is an Educational Products Coach (EPC) for Texas Instruments providing support for educators integrating TI technology into their classes. Before joining TI, Terry worked as a mathematics specialist for Project SEED, an organization that specializes in using advanced math and Socratic pedagogy as tools to increase the self-esteem of students and the math content knowledge of teacher. Terry holds a BS in mathematics from Wiley College. His Geometry sessions: #24
Ellen Johnston taught junior high mathematics for 14 years in Ft. Smith , AR and then worked as a secondary Mathematics Specialist for Arkansas Department of Education. She served on development teams for T3 (Teachers Teaching with Technology) Institutes and served as a T3 instructor until leaving the classroom in 2000. She has co-authored TI EXPLORATIONS™ books such as Discovering Math with the TI-73, Data Collection Activities for the Middle Grades with the TI-73, CBL and CBR, Shaping Middle School Mathematics: Activities for Geoboard and the TI-73, and part of the T3 Teaching Algebra using the TI-83 Plus Online Professional Development course. Currently, she works as an Educational Technology Consultant (ETC) for Texas Instruments serving the states of Arkansas , Louisiana , Mississippi and Missouri. She holds a BS in Mathematics from the College of the Ozarks and a MS in Secondary Education with an emphasis in Secondary mathematics. Her Geometry sessions: #26, #27
Audrey Weeks has taught HS math for 30 years, 14 years through animation. She is the sole author of all The Geometer's Sketchpad animations sold as Calculus In Motion and Algebra In Motion, which she originally wrote for her own classroom students. She began teaching with Sketchpad in 1992 for geometry, but quickly took it to calculus, and then algebra classes. For the past several years, she has focused on leading professional development workshops across the US , and beyond (Canada , Australia , Thailand), and speaking at state conferences and NCTM, on teaching through animation. Her Geometry sessions: #31, #32, #33
Bill Crombie is based in Highland Park, New Jersey, and is a consultant in mathematics and science education. He is presently a fellow at the MetroMath Center for Learning and Teaching at Rutgers University. Since 1990 he has been involved in the development and delivery of training programs for both teachers and trainers in the National Algebra Project and is a Master Trainer for the Algebra Project's Train-the-Trainer Program. In addition he is the principal developer of the Polynomial Calculus Curriculum. Bill holds a BA in both mathematics and physics from Rutgers University and an MA in physics from the State University of New York @ Stony Brook. His Geometry sessions: #43, #44, #45