PROJECT KEYSTONE

**EMAT
6200**

**Technology
in Elementary Grades Mathematics Education**

**
**

June 3 – June 27, 2002

**
**

Instructor: John Olive, Ph.D .

Department of Mathematics Education

The University of Georgia

105 F Aderhold Hall

706 542-4557

FAX: 706 542-4551

The focus of this course will be on the use of
technology in teaching and learning mathematics in grades PreK-5. We shall review the
National Educational Technology Standards for Students (NETS) as
they apply to the teaching and learning of elementary school
mathematics
and also study the *Technology Principle* of the NCTM
*Principles and
Standards
2000.*
Both of
these documents provide guidance for the appropriate use of technology
as a tool for learning and teaching.

Activities will include the following:

- Reading articles on appropriate use of technology with elementary students
- Reviewing a selection of commercial software
- Searching for and testing software (applets and applications) on the Web
- Using the web as a source of information for students’ mathematical investigations
- Learning to use the following software tools for exploring elementary mathematics:
- JavaBars (developed by Barry Biddlecomb and John Olive at UGA)
- The Geometers’ Sketchpad
- MSWLogo (a free version of the Logo programming language for Microsoft Windows)
- Probability Explorer (developed by Hollylynne Stohl, NC State)
- TableTop
Jr. (developed by TERC and available from SunBurst)

- TesselMania
- SimCalc’s MathWorlds (developed by Jim Kaput and Jeremy Roschelle, UMASS-Dartmouth & Stanford)
- Developing appropriate activities for use with for your students.

(Subject to change as necessary!)

Week One

**
Day 1**: **Getting Started**

- Introduction to the course; discussion of focus and goals for the course.
- Distribution of text resources and articles. Discussion of required readings.
- Download and installation of
*Java Runtime Environment*for Windows on lab computers. - Download and installation of
*JavaBars*on lab computers. - Free exploration of
*JavaBars*using the*User Manual.*

- Discussion of articles on TIMA software.
- Using
*JavaBars*to develop whole number relations (*connected numbers*). - Situations and activities involving multiplication.
- Ways to model and explore
*Place Value .* - Activities to encourage
*strategic reasoning*with whole number arithmetic. - Discussion of
*Technology Principle*from NCTM’s*Principles and Standards.*

**Day 3: Fractions with JavaBars**

- Discussion of article from
*Teaching Children Mathematics.* - Activities to develop part-whole relations.
- Sharing bars among friends.
- Making common fractions using a unit fraction bar.
- Advancing to improper fractions.
- Making the whole starting with a fraction bar.
- Fractions of Fractions.
- “Equivalent” fractions.
- Making any fraction from any other fraction.

- Review of what we did with
*JavaBars*– discussion of affordances and constraints. - Comparison of our use of
*JavaBars*to two commercial software products:*Millie’s MathHouse*and*Fraction Attraction.* - Initial design of an activity with
*JavaBars*appropriate for*your*students. - Ideas for introducing
*JavaBars*to other teachers in your school. - Discussion of first elementary mathematics activity from NETS.
- Homework: Work through the NETS activities for elementary students.

Week Two

- Download and install MSWLogo on lab computers.
- Introduction to Turtle Graphics: Moving the Turtle around the screen.
- Play the Robot Game with partners to get to a specific location in the room.
- Drive the turtle through a maze.
- Simple programming to create geometric shapes.
- Programming to create mirror images of simple shapes.
- Create procedures for “Pattern Blocks.”
- Combine shapes to make designs.
- Homework: Articles to read on using logo with young children.

- Discuss readings.
- Estimate angle turns and distances by directing the turtle towards targets.
- Define big turtle steps to use multiplicative relations among turtle trips.
- Introduce negative numbers as BACK moves of the turtle.
- Define “mystery” functions that output numbers given an input.
- Challenge a partner to guess your function.
- Design an activity with Logo
appropriate for
*your*students.

- Nathan’s first use of GSP: What is a triangle?
- Drawing versus Constructing in GSP.
- Constructing shape tools in GSP.
- Using shape tools to create designs.
- How is this different from Logo?

- Transformations with GSP
- Using Reflection and Trace to create Mirror Writing.
- Paper Doll Dancing in GSP.
- Animation with GSP.
- Exploring area concepts with GSP.
- Homework: Design
an activity appropriate for
*your*students using GSP.

Week 3

- Investigations with Probability Explorer.
- Exploring Web software and mathematical resources.

Week 4

- Introduction to TesselMania.
- Experiments with SimCalc’s MathWorlds.
- Reflecting back and making plans for your own use of technology.