Developing Geometry Concepts Using Computer Programming Environments

Computer programming environments can be used to help children understand geometric concepts. The interactive tool in this i-Math investigation illustrates how LOGO can be used to foster creative problem solving and encourage young students to estimate length and angle measures.

Understanding a Child's Development of Number Sense

This i-Math Investigation is coming soon. You can see the related Reflection on Teaching activity now.

Exploring Geometric Solids and Their Properties

Investigating and then reasoning about the relationships within and between three-dimensional shapes is important for students in grades 3-5 as they continue to develop understanding about geometry and spatial sense. The interactive tools in this i-Math investigation are designed to allow students to explore explore geometric solids and their properties.

Gathering Evidence About Students' Understanding of Volume

This i-Math Investigation is coming soon. You can see the related Reflection on Teaching activity now.

Teaching, Learning, and Communicating About Fractions

This i-Math Investigation is coming soon. You can see the related Reflection on Teaching activity now.

Simulating Probability Situations Using Box Models

Investigations that allow students to explore the relationship between theoretical and experimental probabilities are important in the study of probability and statistics. A "box model" can help students in such investigations. This i-Math investigation contains an interactive tool that simulates a statistical "box model" as well as ideas for activities.

Exploring Histograms

A histogram is a standard way of representing a collection of data. The interactive tool contained in this i-Math investigation allows students to create their own sets of data and examine how various statistical functions such as mean, median, and standard deviation depend on the choice of data.

WARNING: This i-Math Investigation currently runs too slowly with the Macintosh version of Netscape Navigator . Use Internet Explorer for Mac 4.0 or later.

Gathering Evidence About Students' Understanding of Volume

This i-Math Investigation is coming soon. You can see the related Reflection on Teaching activity now.

Investigating Linear Relationships: The Regression Line and Correlation

Interactive computer-based tools allow students the opportunity to manipulate numbers easily and investigate the relationships between data points and sets. This i-Math Investigation uses an interactive linear regression tool to help students develop a conceptual understanding of the least-squares regression line and correlation.

Using Algebra and Discrete Mathematics to Investigate Population Changes in a Trout Pond

This investigation illustrates the use of iteration, recursion, and algebra to model and analyze a changing fish population. Graphs, equations, tables, and technological tools are used to investigate the effect of varying parameters on the long-term population.

Warning - To run the JAVA applets in this investigation using Netscape on a Macintosh additional tools must be installed on your computer. See Tools Needed

Shedding Light on the Subject: Function Models of Light Decay

In this investigation students develop and analyze exponential models for the behavior of light passing through water. Accompanying video clips show the i-Math in action in real classrooms.

Warning - To run the JAVA applets in this investigation using Netscape on a Macintosh additional tools must be installed on your computer. See Tools Needed

Whelk-Come to Mathematics: Using Rational Functions to Investigate the Behavior of Northwestern Crows

In this investigation students use rational functions to explore the possible reasons behind the observation that northwestern crows consistently drop a type of mollusk called a whelk from a height of 5 meters.

Warning - To run the JAVA applets in this investigation using Netscape on a Macintosh additional tools must be installed on your computer. See Tools Needed

Exploring Connections Between Mathematics and Art
- Under Construction

In this i-Math investigation you will be able to take a virtual tour of the San Francisco Museum of Modern Art and explore connections between art and mathematics. You can take the tour and do a few activities now. More coming soon!