Did you know that students can understand negative exponents without being told what they mean? In this episode Pam and Kim wrap up their series on exponent relationships.
Talking Points:

• New listeners, where to start? Episode 156 Start Here
• Discovering Negative Exponents
• Give students experiences first and let them make sense of it
• Using equivalent expressions to help students visualize and make generalizations
• What grade levels are these strings for?

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In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on December 18, 2024.

Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies.

Check out #MathStratChat on your favorite social media site and join in the conversation.

Twitter: @PWHarris

Instagram: Pam Harris_math

Facebook: Pam Harris, author, mathematics education

Want more? Check out the archive of all of our #MathStratChat posts!

What if students actually understood using common factors to simplify complex division expressions? In this episode Pam and Kim divide exponents without reciting a rule.
Talking Points:

• Thinking versus reasoning
• Problem String Dividing Exponents
• "Canceling" vs "Dividing out to equal 1"
• Focus on left over factors vs mimicking a rule
• Why start with smaller bases?

Check out our social media
Twitter: @PWHarris
Instagram: Pam Harris_math
Facebook: Pam Harris, author, mathematics education
Linkedin: Pam Harris Consulting LLC