EMAT 3500, Spring 2006

Exploring Concepts (with Technology) in Secondary School mathematics

Outline (Subject to adjustments as needed)

Week 1: (1/10 & 1/12)
Thinking about being a mathematics teacher
Setting up electronic communications (email and LiveText)
Introduction and discussion of NCTM Principals & Standards Introduction to GSP4, Excel and Graphing Calculators Choose two of these Interactive Excel spreadsheets to explore!

Chapter 6 from Transforming Mathematics with GSP

The Slide Rule (download GSP slide rule)
Constructing a product of two numbers on a number line using dilation (connecting with transformational geometry)

Week 2: (1/17 & 1/19) Number and Operations

Representing arithmetic operations dynamically on a number line (download GSP sketch)
(download Numberline Tool)
Investigating arithmetic relations dynamically: Mystery Machines
 Mystery Combinations

Week 3: (1/24 & 1/26) Characteristics of Functions

Chapter 7 from Transforming Mathematics with GSP

Dynamic algebraic functions using transformations
Constructing a linear function through dilation and translation
Constructing powers of x through dilation
Comparing Functions on parallel number lines
Exploring the behavior of functions with Dynagraphs 
Composing functions using a sequence of Dynagraphs

Week 4: (1/31 & 2/2) Exploring Functions with GSP

From Dynagraphs to Rectangular Coordinates. 
Investigating different functions using both Dynagraphs and Rectangular Coordinates

Operations on functions using multiple coordinate systems

Week 5: (2/7 & 2/9) Further Explorations of Functions with GSP

Transformations of the quadratic function graph
Using GSP4 as a function-grapher (Olive, 2002. Introduction to Functions with GSP4 )

Week 6: (2/14 & 2/16) Trigonometry of the unit circle with GSP

Chapter 9 from Transforming Mathematics with GSP

Week 7 (2/21 & 2/23) Investigating Functions

Sorting Functions
Conic functions through paper folding
Download this GSP activity from Dr. Hatfield

Week 8: (2/28) Conic Functions in Polar Coordinates

(3/2) Midterm Practice Exam
Click here to download Dynagraphs_5.gsp 

Week 9: (3/7) Midterm Practice Review

(3/9) Mid-Term Exam on Functions

Week 10: (3/21 & 3/23) Experimental Labs

Collecting, representing and analyzing data pairs

Line of best fit for a set of data pairs: Signed, Absolute and Squared deviations
Finding lines of best fit for your data from your lab experiments

Week 11: (3/28 & 3/30) Reporting the Results and Data Explorations

Group and individual Lab reports due. Discussion of implications of labs for teaching
An introduction to Fathom: 

Week 12: (4/4 & 4/6) Data Explorations & Modeling

activities from Unit 6 of Exploring Algebra 1 with Fathom

Week 13: (4/11 & 4/13) Exploring Probability

Activities from Unit 7 of Exploring Algebra 1 with Fathom

Week 14: (4/18 & 4/20) Modeling with GSP

Chapter 8 from Transforming Mathematics with GSP

Using GSP to model physical situations and generate data:

The Biggest Box Problem
The Cardboard View-Tube Problem

Week 15: (4/25 & 4/27) 

Work on final projects 

Final Projects due on Monday, May 1 before 5:00 p.m.

Final Exam: Thursday, May 4, 8:00-11:00 am

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