Mathematics & Science Institute 2007

July 23-25, 2007

PreAlgebra

Students in the middle grades experience many transitions in their mathematical thinking. Students must move from thinking about operations on integers to real numbers, they also learn about rigor and deductive thinking at this time. 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.

PreAlgebra Sessions

Monday, July 23, 2007, Morning Sessions

[Session #1] History, Mathematical Concepts, and Teaching I
(Linked to sessions #0 and #-1)
Confucius (~450 BC): "Tell me, and I will forget. Show me, and I may remember. Involve me, and I will understand." Do the power lines trace the curve of a parabola? What is the shape of the Superdome? How do we develop thinking about infinity? In these linked sessions we will consider a range of mathematical concepts that occur in middle school to deepen your thinking, to connect ideas to history, and to find ways to help students learn.
Courses of Interest: Pre-algebra, Algebra I, Algebra II
Leader: Andy Talmadge, (bio), University of New Orleans

Monday, July 23, 2007, Afternoon Sessions

[Session #3] Linear Equations: An exploration using manipulatives I (Linked to sessions #4 and #5)
First day of three linked workshops exploring linear equations with rational coefficients. Demonstrate solving and graphing linear equations using one model on different manipulatives. Start exploring the basic model for properties of rational numbers, one and two-step equations, multi-variable equations, finding a linear equation given two points, forms of equations (standard, slope-intercept, and parametric), solving simultaneous linear equations, finding solutions to quadratic equations with rational coefficients and solutions,....
Courses of Interest: Pre-algebra, Algebra I, Algebra II
Leader: Bruce Baguley, (bio), Cascade Math Systems, LLC

Tuesday, July 24, 2007, Morning Sessions

[Session #0] History, Mathematical Concepts, and Teaching II
(Linked to sessions #1 and #-1)
Confucius (~450 BC): "Tell me, and I will forget. Show me, and I may remember. Involve me, and I will understand." Do the power lines trace the curve of a parabola? What is the shape of the Superdome? How do we develop thinking about infinity? In these linked sessions we will consider a range of mathematical concepts that occur in middle school to deepen your thinking, to connect ideas to history, and to find ways to help students learn.
Courses of Interest: Pre-algebra, Algebra I, Algebra II
Leader: Andy Talmadge, (bio), University of New Orleans

[Session #2] Pre-Algebra Concepts using the TI Navigator System
TI-Navigator creates a network between the teacher and student TI-73/83/84 graphing calculators that allows for real-time feedback, the ability to share data and quick assessment. In this session you will try classroom-tested activities that utilize the TI-Navigator system.
Courses of Interest: Pre-algebra and Algebra I
Leader: Claudia Winstead, (bio), Metairie Park Country Day School

Tuesday, July 24, 2007, Afternoon Sessions

[Session #4] Linear Equations: An exploration using manipulatives II
(Linked to sessions #3 and #5)
Second day of three linked workshops exploring linear equations with rational coefficients. Demonstrate solving and graphing linear equations using one model on different manipulatives. Continue exploring the basic model for properties of rational numbers, one and two-step equations, multi-variable equations, finding a linear equation given two points, forms of equations (standard, slope-intercept, and parametric), solving simultaneous linear equations, finding solutions to quadratic equations with rational coefficients and solutions,....
Courses of Interest: Pre-algebra, Algebra I, Algebra II
Leader: Bruce Baguley, (bio), Cascade Math Systems, LLC

[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

Wednesday, July 25, 2007, Morning Sessions

[Session #-1] History, Mathematical Concepts, and Teaching III
(Linked to sessions #1 and #0)
Confucius (~450 BC): "Tell me, and I will forget. Show me, and I may remember. Involve me, and I will understand." Do the power lines trace the curve of a parabola? What is the shape of the Superdome? How do we develop thinking about infinity? In these linked sessions we will consider a range of mathematical concepts that occur in middle school to deepen your thinking, to connect ideas to history, and to find ways to help students learn.
Courses of Interest: Pre-algebra, Algebra I, Algebra II
Leader: Andy Talmadge, (bio), University of New Orleans

Wednesday, July 25, 2007, Afternoon Sessions

[Session #5] Linear Equations: An exploration using manipulatives III
(Linked to sessions #3 and #4)
Third day of three linked workshops exploring linear equations with rational coefficients. Demonstrate solving and graphing linear equations using one model on different manipulatives. Finish exploring the basic model for properties of rational numbers, one and two-step equations, multi-variable equations, finding a linear equation given two points, forms of equations (standard, slope-intercept, and parametric), solving simultaneous linear equations, finding solutions to quadratic equations with rational coefficients and solutions,....
Courses of Interest: Pre-algebra, Algebra I, Algebra II
Leader: Bruce Baguley, (bio), Cascade Math Systems, LLC

PreAlgebra 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 sessions: #3, #4, #5
Andy Talmadge teaches at UNO. Andy has taught math and science education courses at the University of New Orleans since 2002. Before that he taught math at Dillard University and was the associate director of the Natoinal Faculty's Delta Teachers Academy. His research interests are in mathematical physics and teaching using s models & modeling approach. His Algebra sessions: #1, #0, #-1
Claudia Winstead teaches at MPCDS. Her sessions: #2
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 sessions: #27