Mathematics & Science Institute 2007
July 23-25, 2007
Algebra
Algebraic thinking lies at the center of most of middle and secondary mathematics. 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.
Algebra Sessions
(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
Description: Ever wonder how you could increase your Algebra 1 students’ level of understanding of algebraic concepts and problem solving processes? One answer is to efficiently connect math concepts through multiple representations and problem solving processes. Through a balanced approach of algebraic, numerical, graphical, and geometric representations, you provide the maximum potential for your students to grasp important and difficult concepts in different ways. This session will explore the connections and interactions between and among these various representations with classroom-ready activities using technology. No experience needed.
Courses of Interest: Algebra I
Leader: Ellen Johnston, (bio), Texas Instruments
(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
(Linked to sessions #20 and #21)
If we want kids to retain and use their mathematical knowledge we need them to come to know why in addition to how. Show kids how to do the math and you feed them for a DAY, but - help them come to know the mathematics and you have covered for the rest of time. In this session experience coming to know mathematics through the use of technology.
Session Website
Courses of Interest: Middle school, High School and beyond
Leader: David Young, (bio), Fayetteville HS, Fayetteville, AR
(Linked to sessions #47 and #48)
In this session using small group and whole group discussions, participants will develop the principal concepts of the tangent line and derivative of polynomial functions, without the use of approximations or limits, using only the content of a high school Algebra I course. We will take a fresh look at how the properties of tangent lines and derivatives are derived from the elementary properties of straight lines and slopes. This material is part of an on-going program to develop advanced topics in secondary mathematics from an elementary standpoint.
Courses of Interest: Algebra I & II
Leader: Bill Crombie, (bio), Rutgers University
(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
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
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
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
(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
(Linked to sessions #19 and #21)
If we want kids to retain and use their mathematical knowledge we need them to come to know why in addition to how. Show kids how to do the math and you feed them for a DAY, but - help them come to know the mathematics and you have covered for the rest of time. In this session experience coming to know mathematics through the use of technology.
Session Website
Courses of Interest: Middle school, High School and beyond
Leader: David Young, (bio), Fayetteville HS, Fayetteville, AR
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: All
Leader: Ellen Johnston, (bio), Texas Instruments
(Linked to sessions #46 and #48)
In this session using small group and whole group discussions, participants will develop the principal concepts of the tangent line and derivative of polynomial functions, without the use of approximations or limits, using only the content of a high school Algebra I course. We will take a fresh look at how the properties of tangent lines and derivatives are derived from the elementary properties of straight lines and slopes. This material is part of an on-going program to develop advanced topics in secondary mathematics from an elementary standpoint.
Courses of Interest: Algebra I & II
Leader: Bill Crombie, (bio), Rutgers University
(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
Do your Algebra II students struggle connecting math concepts together? Using handheld technology, learn new methods that will engage and motivate your students to show their mathematical thinking and explain the meaning behind their solutions. Ready-to-Use Activities will be provided. No experience needed!
Courses of Interest: Algebra II
Leader: Terry Green, (bio), Texas Instruments
(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
(Linked to sessions #19 and #20)
If we want kids to retain and use their mathematical knowledge we need them to come to know why in addition to how. Show kids how to do the math and you feed them for a DAY, but - help them come to know the mathematics and you have covered for the rest of time. In this session experience coming to know mathematics through the use of technology.
Session Website
Courses of Interest: Middle school, High School and beyond
Leader: David Young, (bio), Fayetteville HS, Fayetteville, AR
(Linked to sessions #46 and #47)
In this session using small group and whole group discussions, participants will develop the principal concepts of the tangent line and derivative of polynomial functions, without the use of approximations or limits, using only the content of a high school Algebra I course. We will take a fresh look at how the properties of tangent lines and derivatives are derived from the elementary properties of straight lines and slopes. This material is part of an on-going program to develop advanced topics in secondary mathematics from an elementary standpoint.
Courses of Interest: Algebra I & II
Leader: Bill Crombie, (bio), Rutgers University