EMS 480: Teaching Mathematics with Technology
Dr. Hollylynne Stohl
Fall 2004
Monday 4:10-7:00pm

Proposed Schedule of Course Activities -- Subject to Change

last updated 11/15/04

Weeks 1-4: Geometry Topics
Weeks 5-9: Number & Algebra

Weeks 10-13: Statistics & Probability



 Week 14: Project Showcase

Week 15: Final Exam (Technology Test)



Course Syllabus

 Course Project Description
 Electronic Portfolio Description
Technology Skills Requirements for Final Exam
Basics in APA reference and citation style
 Tips for finding articles in mathematics education

Date Mathematics Topics Tools Assignments
 
Weeks 1-4: Geometry


WEEK 1

Aug 23

Course Introduction
Opening Day Reflection/Discussion 

Problem Solving with Dynamic Geometry (Draw vs. Construct) 

Exploring Triangle Centers

Introduction to Equation Editor and Graphics in word processing. 

The Geometer's Sketchpad (GSP) 

Microsoft Word

Current Assignment

WEEK 2

Aug 30


Construction of geometrical figures, and  properties of quadrilaterals 

Exploring Properties of Quadrilaterals (download GSP file)

Discussion of Van Hiele Levels

Midpoint Quadrilateral 



GSP, Custom Tools DUE TODAY:  Bring GSP files to class

Current Assignment


Exploring Triangle Centers (two investigations)

Two Additional Geometry Explorations



***Start thinking about a topic for your course project!!
***  Sept 6    Labor Day Holiday No Class  ***

WEEK 3

Sept 13

Discussion of  Electronic Portfolio


Pythagorean Theorem  (tools file)

Download Polygons.gsp

Discussion of Four-Phase Lesson Plan

Generalized Pythagorean Theorem

Connections Between Algebra and Geometry 

Discussion of Course Project and Pre-Analysis Paper

 GSP
DUE TODAY:  Bring Word file of your geometry exploration to class.

Current Assignment:


EXTENSION OF GENERALIZING THE PYTHAGOREAN THEOREM (Extra Exploration for the curious! Could be a portfolio artifact!)

WEEK 4

Sept 20

Geometric Transformations

Files to download: SingleMatch, Match2, RegularPolygons

Quadrilateral Query


GSP
Tools from Shodor

DUE TODAY:
Technology Review (part of Electronic Portfolio) due in Wolfware by 4:15pm

Bring 5 copies of your Geometry Exploration to class.


Current Assignment:  Complete Artifact 1 under section I of electronic portfolio. Be sure you complete all three parts to the artifact in one continuous Word document, and use screenshots and Equation Editor! This artifact should be focused on geometry. Due next week Sept 27th in WOlfware by 4:15pm.
ALSO Due by Sept 23rd at 5pm. Submit a 1-2 sentence statement declaring the mathematical topic that will be the focus of your course project. Send this to me via email.

Weeks 5-9: Number & Algebra

WEEK 5

Sept 29

Polygons.gsp

Tessellations
M.C. Escher

Exploring Sequences and Series with Multiple Representations (pictorial, numerical, graphical, and algebraic) 


Excel and GSP
DUE TODAY:
Artifact 1 due for Section I of the Electronic Portfolio. This artifact should be focused on geometry!


WEEK 6

Oct 4

Geometric Series and Spirals

Broken Computer Task

Excel FractPie.xls

FractionPie Java Applet at NCTM

Rate of Change

Analyzing Patterns

Introduction to Linear Functions


Excel GSP &, GCs, TI-Connect

DUE TODAY: bring 2 articles to discuss in small groups




Extra Explorations with Geometric Series

WEEK 7

Oct 11



GUEST INSTRUCTOR: Dr. Lee Stiff

Understanding Function Transformation

Excel Transformations File

ExploreMath Quadratic

GSP Cosine transformations

Graphing Functions and Creating Parameter Explorations in Excel and GSP


Excel,  GSP, GC, Gizmos from Explore Math


 DUE TODAY:
1.  Pre-Analysis Paper (part of Course Project) due
2.  Annotated list of websites (Part III of the electronic portfolio)


Extra Exporation of a Quadratic Function (possible Artifact exploration)


WEEK 8

Oct 18



Misleading Graphs

Making Sense of Function Transformations from Real Data (Temperature Data)


Excel
GC
Fathom



WEEK 9

Oct 25

Collecting and Analyzing data using technology
GCs, CBRs,


Weeks 10-13: Statistics & Probability

WEEK 10

Nov 1

FINISH RATE OF CHANGE ACTIVITIES

Analyzing Univariate Data

Measures of Central Tendency Task

SAT Data exploration
Fathom file
Excel file

Internet, Excel, GCs, Fathom

 Java Applet

DUE Thursday Nov 4 by 12pm (noon):
Lesson Design (part of Course Project) due

WEEK 11

Nov 8


 

Developing Conceptual Understanding of Bivariate Data, Correlation and Linear Regression

NCTM 6-8  and 9-12 recommendations for data analysis




Fathom, GC, & Excel
DUE TODAY:  Artifact 2 for Portfolio (focused on Number/Algebra)


Four Ideas for Stats Artifacts:
Idea 1
Idea 2
Idea 3

Idea 4: Fathom Exploration of Correlation & Regression:  Need the CorrelParts Fathom file


WEEK 12

Nov 15

Calculating Linear Regression and Residual plots with Fathom

Correl.xls  

ExploreMath Least Squares website



Simulating and Analyzing Probability Experiments 
CoinDie.xls

Binomial Distributions

Simulating a Spinner in Excel

Probability Simulations with Probability Explorer -- Making Inferences from Data Collection

Fathom, 

Excel, and GC


 
 

 

 

WEEK 13

Nov 22

Using and creating probability experiments

MysteryLake.pbe  

Hospital Task

Probability Explorer
Fathom

 Study for Test!  
 

WEEK 14

Nov 29

Technology Skills and Pedagogy Test
   DUE by Thursday Dec 2nd by  5pm  (in Wolfware)
Analysis of Student's work and Reflection (part of Course Project) due with Final Version of Compiled Course Project  (including Revised PreAnalysis paper and Revised Lesson Design)
 

WEEK 15

Dec 6

Project Showcase (Presentation about your Course Project)

Archiving all Class Material on CDROM!


DUE DECEMBER 8!
MUST TURN IN ON DISK IN MY OFFICE 326C Poe by 5pm
Compiled Electronic Portfolio on Disk

Back to Course Syllabus