When integrated effectively, digital technologies encourage students to make their knowledge explicit by:

What this might look like in your mathematics classroom:

• providing manageable, clean manipulatives
• offering flexibility
• changing arrangement or representation
• changing the very nature of modelling
• creating dynamic geometric constructs

• applets and learning objects that allow students to experiment with multiple configurations and representations as they work toward solutions
• Smart Boards

• capturing mathematics solutions and justifications
• recording and replaying students' actions

• digital photographs, video footage, and audio recordings of learning process and product

• dynamically linking multiple representations

• documents embedded with richly instructive examples created using hyperlinks

• providing an environment to test conjectures
• collecting and analyzing statistical data

• robotics, simulations
• spreadsheets
• graphing applications

• providing community forums for exploring, explaining and justifying mathematical ideas and concepts encouraging problem posing and conjecturing
• encouraging and facilitating complete and precise explanations

• weblogs
• electronic journals

• linking the concrete and the symbolic with feedback

• multimedia learning objects

• linking the specific to the general

• Internet-based sources that provide real-life examples of mathematics ideas

• providing a framework for problem solving and focusing attention

• multimedia learning objects