10. PROVE IT TO ME! (Questioning, Feedback, Collaboration)
Description: This protocol focuses on ideas of mathematical prediction and proof.
Application: Prove It to Me! is an introductory protocol that leads to student discovery.
Process: Assign students to groups and give each group three dice and prepared “Prove It to Me!” activity sheet (Addendum R). Tell groups to roll the dice and record the number of each die in the “Let’s Roll” Column; repeat process nine more times. Instruct groups to make and record a prediction about the type of triangle each set of numbers will form. Encourage students to use the Triangle Ready Reference Sheet if needed. Pass out toothpicks to each group. Tell students to “build” triangles based on their column one numbers and record either a yes or no in column three depending on whether or not a successful triangle can be built. Require students to assess the successful triangles for commonalities or trends. List commonalities under the column “Listen to the Yeses.” Also require students to consider the non-triangles for commonalities or trends and record in the “What Do the No’s Know?” Challenge students to draw a mathematical conclusion about their findings and record at the bottom of the page.
Description: This protocol focuses on ideas of mathematical prediction and proof.
Application: Prove It to Me! is an introductory protocol that leads to student discovery.
Process: Assign students to groups and give each group three dice and prepared “Prove It to Me!” activity sheet (Addendum R). Tell groups to roll the dice and record the number of each die in the “Let’s Roll” Column; repeat process nine more times. Instruct groups to make and record a prediction about the type of triangle each set of numbers will form. Encourage students to use the Triangle Ready Reference Sheet if needed. Pass out toothpicks to each group. Tell students to “build” triangles based on their column one numbers and record either a yes or no in column three depending on whether or not a successful triangle can be built. Require students to assess the successful triangles for commonalities or trends. List commonalities under the column “Listen to the Yeses.” Also require students to consider the non-triangles for commonalities or trends and record in the “What Do the No’s Know?” Challenge students to draw a mathematical conclusion about their findings and record at the bottom of the page.
Reference and/or for more information:
10. Prove it to Me!
Sumpter, S. (2009). Prove it to Me! Instructions. Cross Creek Early College.
Bass, B., Thetford, A. Prove it to Me! Chart. Cross Creek Early College.
10. Prove it to Me!
Sumpter, S. (2009). Prove it to Me! Instructions. Cross Creek Early College.
Bass, B., Thetford, A. Prove it to Me! Chart. Cross Creek Early College.
