Standards of Mathematical Practices - One Standard at a Time

Mathematical Practices are embedded in every math lesson we teach.  The Standards for Mathematical Practice describe varieties of expertise that math educators at all levels (K-12) should seek to develop in their students.  These practices rest on important "processes and proficiencies" with longstanding importance in mathematics education.

Mathematical Practice #5

Use appropriate tools strategically.

What should students be able to do?

• Use available tools recognizing the strengths and limitations of each.
• Use estimation and other mathematical knowledge to detect possible errors.
• Identify relevant external mathematical resources to pose and solve problems.
• Use technological tools to deepen their understanding of mathematics.

Questions the Teacher Can Ask to Develop Mathematical Thinking:

• What mathematical tools could we use to visualize and represent the situation?
• What information do you have?
• What do you know that is not stated in the problem?
• What approach are you considering trying first?
• What estimate did you make for the solution?
• In this situation would it be helpful to use..a graph..., number line..., ruler...,diagram...,calculator...,manipulatives?
• Why was it helpful to use...?
• What can using a _______ show us that ________ may not?
• In what situations might it be more informative or helpful to use...?