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Math Facilitator Reading Group

This resource details methods to encourage mathematical disagreements among 4th graders, enhancing their understanding of subtraction concepts. Through videos and practical activities, students explore generalizations about subtraction, such as manipulating the subtrahend or minuend to arrive at accurate differences. The importance of precise vocabulary, like "subtrahend," is emphasized. Teachers are provided strategies to facilitate discussions that reveal student misconceptions and promote deeper mathematical understanding. Use these techniques to gauge student readiness and engagement with subtraction.

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Math Facilitator Reading Group

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  1. Math Facilitator Reading Group April 2012

  2. Solve 67,470 – 19 67,470 – 39 93,730 – 18 3,730 – 28

  3. With a partner 67,470 – 19 67,470 – 39 93,730 – 18 3,730 – 28 Write a generalization that can be proved using examples like these 

  4. Represent with cubes…! 67,470 – 19 67,470 – 39 93,730 – 18 3,730 – 28 In subtraction, you can…

  5. 4th Graders http://www.youtube.com/watch?v=h0BjtTDzbvE&feature=youtu.be teacher records generalization on chart Thoughts?

  6. 4th Grade Generalizations • In subtraction, you can add or subtract from the subtrahend and do the same operation to the difference and get the correct difference. • In subtraction, you can add or subtract a number from the minuend and use the inverse operation on the difference to get the correct answer.

  7. Listen to the Words • As you watch the next 2 videos, listen carefully to what the students say. • What do you notice about the use of vocabulary? http://www.youtube.com/watch?v=UPSyvU0qMmI&feature=youtu.be student explaining at board

  8. Attend to Precision in Communication • What do you notice about the use of vocabulary? • Is it important to use terms such as “subtrahend?” Does it impact mathematical understanding? • What was the teacher’s role in facilitating precise communication?

  9. 15 – 7 • 4th grade class #1 http://youtu.be/6HrspWGTUOs student working with cubes • Is the student representing our generalization?

  10. Subtra - what? • Is it important to use terms such as “subtrahend?” Does it impact mathematical understanding?

  11. Disagreements •  Start at 2:21 • 2nd grade video (CCSS) http://www.youtube.com/watch?v=3HJaRga5vLc&feature=youtu.be • Teacher tries to get students to disagree about vertex/edge

  12. Sean’s http://www.youtube.com/watch?v=SFSs3dDJmAg • Start at 3:05

  13. Start at 1:45 • 3+3+3+3+3 vs. 5+5+5+5+5

  14. Strategies that Promote Mathematical Disagreements • Read “Issues that lead to disagreements” – middle of p. 536 – middle of p. 537

  15. EOG Season is Here! • How do I know if my students are ready? Buckle Down = Shut Down

  16. Goals • Understand 2-3 strategies that promote mathematical disagreements • Create 1-2 tasks for teachers in my school to use Monday

  17. Conditions are Right for a Disagreement Read “Issues the Lead to Disagreements” pp. 536-537 • Center on a mathematical concept • Are accessible to all • Can be debated

  18. Mathematical Disagreements • Read to the very top of page 534 • Thoughts? Force students to choose a side

  19. Mathematical Disagreements • Think about a math topic students are struggling with in your school RIGHT NOW • With a partner • Create a writing prompt that forces students to choose a side. Conditions are Right for a Disagreement • Center on a mathematical concept • Are accessible to all • Can be debated

  20. Strategies that Promote Mathematical Disagreements • Read from the top of page 534 to the middle of p. 535 • Thoughts? • Reveal student’s misconceptions

  21. Strategies that Promote Mathematical Disagreements Thinking about that same mathematical struggle at your school… • With a partner • Create a task designed to uncover student misconceptions

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