As you have seen, online math resources are quite extensive. Yet as you make curriculum plans that integrate technology into learning experiences for your students, you will need to consider software and hardware options as well. Some are common tools that you are already familiar with such as spreadsheet software and calculators; you may be less aware of other tools such as smartboards. In this lesson we will take a look at how these tools may be used to support mathematics instruction, beginning with software applications.

Note: Many dynamic applications will open in a new window or tab. This allows you to manipulate objects while keeping the module instructions available. Simply move the application window to one side of your screen so you can see both windows. This process can take some getting used to for novice users, but is very helpful when you need to see an application and the corresponding instructions at the same time.

Software

Dynamic Modeling

Some mathematical concepts are difficult for students to understand and, therefore, challenging to teach. Dynamic modeling software can help students learn by engaging them in ways that are interesting and fun.  For example, understanding quadratic equations becomes easier when students can “see” the math behind the arc made when they shoot a basketball, hit a ping-pong ball, or push a friend on a swing. 

These real life activities become the basis for stimulating discussions and deeper mathematical thinking by students. Geometer's Sketchpad is a popular dynamic modeling software application that can assist students in learning complex algebra and geometry concepts. Take a look at the Math Forum site which provides a comprehensive list of lesson plans and other resources to help you learn the program and use in your classroom.

Cinderella is an interactive program that enables users to create simple to complex geometric configurations. Because the software is a "dynamic" application, the user (teachers and students) can explore the various dimensions of geometric forms. Cinderella is sophisticated enough to handle the most demanding needs for gifted & honors programs.

Another similar program is GeoGebra, a dynamic program combining geometry, algebra, and calculus. Students can create various constructions with points, vectors, segments, lines, and more. Additionally, equations and coordinates can be entered directly allowing a sophisticated exploration of mathematical concepts by showing the relationship between algebra expressions and geometric objects. Peruse the GeoGebra examples and take a practice run.

Spreadsheets

Excel is a long standing favorite application for math educators. The built in functionality of spreadsheets provides teachers with a powerful tool to help students learn math concepts. Research suggests that authentic projects that are applied to real life experiences can be exciting and motivating for students. Using spreadsheets can help visual learners organize information using a variety of formatting options (e.g. colors and borders). Higher order thinking is involved as students investigate problem solving projects and try to answer "what if" type questions. Take a look at these Excel Interactive Projects from University of Virginia's Curry Center for Technology and Teacher Education.

Hardware

Graphing Calculators

Graphing calculators are an important part of mathematical literacy; however, many students find the book-like manual that accompanies their graphing calculator intimidating. Being aware of user-friendly sites that demystify the ins and outs of using graphing calculators will help you to help your students develop their technical skills. Let's take a look at a few calculator resources for teaching students how to perform different operations on their calculators. You will find some are compatible with interactive whiteboards/smartboards (more about these tools below) and can utilize dynamic modeling software described previously.

Interactive Whiteboards

Electronic whiteboards (aka smartboards) are wonderful tools for helping teachers incorporate technology in the classroom and encourage active learning. Smartboards make math more visual, interactive, and fun for students. The SMARTboard is a popular brand of whiteboards that uses Smart Notebook software to make the board come alive and captures teacher and student interactions. If you think about it, almost any interactive math activity can be used on a SMARTboard. These are the 21st century chalkboards and are popping-up in classrooms everywhere. There are many applications and lessons available on the web to help teachers use smartboards. As you explore the online resources for smartboards, think of ways you could use this tool to support your math instruction; and keep in mind that, as with any tool, its effectiveness will depend on how well the equipment is used.

Additional Resources

Teacher Action Research: Reports by teachers who use Graphing Calculators effectively in their teaching (Texas Instruments, Educational Technology).