in Elementary Grades Mathematics Education
– June 27, 2002
of Mathematics Education
University of Georgia
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
and also study the Technology Principle of the NCTM
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
- 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)
Jr. (developed by TERC and available from SunBurst)
- SimCalc’s MathWorlds (developed by
Jim Kaput and Jeremy Roschelle, UMASS-Dartmouth & Stanford)
- Developing appropriate activities for
use with for your students.
to change as necessary!)
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.
Day 2: Whole Number Activities with JavaBars
- Discussion of articles on TIMA
- Using JavaBars to develop whole number relations (
connected numbers ).
- Situations and activities involving
- Ways to model and explore Place
- Activities to encourage strategic
reasoning with whole number
- Discussion of Technology Principle from NCTM’s Principles and
Day 3: Fractions with JavaBars
- Discussion of article from Teaching
- Activities to develop part-whole
- Sharing bars among friends.
- Making common fractions using a unit
- Advancing to improper fractions.
- Making the whole starting with a
- Fractions of Fractions.
- “Equivalent” fractions.
- Making any fraction from any other
Day 4: Reviewing, Comparing & Creating
- Review of what we did with JavaBars – discussion of affordances and
- 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.
Day 1: Introducing Logo
- Download and install MSWLogo on lab
- 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
- Programming to create mirror images
of simple shapes.
- Create procedures for “Pattern
- Combine shapes to make designs.
- Homework: Articles to read on using
logo with young children.
Day 2: Mathematics with Logo
- 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
- Design an activity with Logo
appropriate for your students.
Day 3: Introducing The Geometer’s Sketchpad
- Nathan’s first use of GSP: What is a
- Drawing versus Constructing in GSP.
- Constructing shape tools in GSP.
- Using shape tools to create designs.
- How is this different from Logo?
Day 4: Further explorations with GSP
- Transformations with GSP
- Using Reflection and Trace to create
- Paper Doll Dancing in GSP.
- Animation with GSP.
- Exploring area concepts with GSP.
- Homework: Design
an activity appropriate for your students using GSP.
- Investigations with Probability
- Exploring Web software and
- Introduction to TesselMania.
- Experiments with SimCalc’s MathWorlds.
- Reflecting back and making plans for
your own use of technology.