Week 0: (8/19)

Thinking about being a mathematics teacher Introduction to NCTMPrincipals & StandardsSetting up electronic communications (email and web page)

Week 1: (8/24 & 8/26)

Discussion of NCTMPrincipals & StandardsIntroduction toGSP4, ExcelandGraphing CalculatorsChoose two of these Interactive Excel spreadsheets to explore!Chapter 6 from

Transforming Mathematics with GSPThe Slide Rule Constructing a product of two numbers on a number line using dilation (connecting with transformational geometry)

Week 2: (8/31 & 9/02) Number and Operations

Representing arithmetic operations dynamically on a number line Investigating arithmetic relations dynamically: Mystery Machines Artin's Braids: contrasting approaches to mathematical learning experiences

Week 3: (9/7 & 9/9) *Characteristics
of Functions*

Chapter 7 from

Transforming Mathematics with GSPDynamic algebraic functions using transformations Constructing a linear function through dilation and translation Constructing powers of x through dilation Comparing Functions on parallel number linesExploring the behavior of functions withDynagraphs(Exploring Algebra,pp. 104-116) Composing functions using a sequence ofDynagraphs

Week 4: (9/14 & 9/16)
*Exploring Functions with GSP*

FromDynagraphsto Rectangular Coordinates. Investigating different functions using bothDynagraphsand Rectangular Coordinates

Week 5: (9/21 & 9/23)
*Further Explorations of Functions with GSP*

Transformations of the quadratic function graph Paper folding to produce a parabola and other conics Using GSP to model a headlight from a parabola.

Week 6: (9/28 & 9/30)
*Graphing Functions with GSP*

Using GSP4 as a function-grapher (Olive, 2002.Introduction to Functions with GSP4)

Week 7 (10/05) *Investigating
Functions*

Sorting Functions Using multiple coordinate systems to investigate operations on functions Conic functions using Polar Coordinates(10/07) Generating data through GSP simulationsThe Box problem -- linking GSP simulation to measurements and graphing The Cardboard Tube Telescope

Week 8: (10/12) **Midterm
Review**

Click here to download Dynagraphs_5.gsp(10/14) Visit to the GCTM Annual Meeting at Rock Eagle

Week 9: (10/19) **Mid-Term
Exam on Functions**

(10/21) S

tarting from Data: Linear ModelsIntroduction toFathomChapters 1-3 of The Model Shop© by Tim Erickson

Week 10: (10/26 & 10/28) *Non-Linear Models*

Chapters 4 & 5 of The Model Shop© by Tim Erickson

Week 11: (11/2 & 11/4) *Exploring relations among
data*

Chapter 6 of The Model Shop© by Tim Erickson Experimental Labs: Collecting, representing and analyzing data pairs

Week 12: (11/9 & 11/11) *Representing relations
among data*

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 13: (11/16 & 11/18) *Transforming Data*

Linearizing quadratic data (Canadian birth rates) Linearizing exponential data (a return to the Slide Rule function)

Week 14: (11/23) *Reporting the Results*

Group and individual Lab reports due. Discussion of implications of labs for teaching

Week 15: (11/30 & 12/02) *Modeling with GSP*

Using

GSPto model physical situations and generate data:The Biggest Box Problem The Cardboard View-Tube Problem

Week 16: (12/09) *Work on final projects*

Final Projects due on Monday, December 13 before 5:00 p.m.

Final Exam: Group A: Tuesday, December 14, 8:00-11:00 a.m

Group B: Thursday, December 16, 8:00-11:00 am