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ECE Teachers as Mathematicians

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Teresa E. Gonczy, Ed.M.
Teresa E. Gonczy, Ed.M.

How do mathematicians think about problem solving? The same way we do! Build your confidence in this fun, easy, and totally NON-scary early math workshop. Presented at the Region IX Headstart Early Childhood STEM Institute - September 4th, 2014

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EC STEM Institute ECE Teachers As Mathematicians Teresa Gonczy Thursday, Sept 4th, 10:30am © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
Problem Solving The Smallest Candy Store Problem * Take a few minutes to try it out yourself * Then collaborate with your group © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
Problem Solving The Smallest Candy Store Problem * Create a poster showing your group's thinking about the problem © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
Problem Solving The Smallest Candy Store Problem * What were some of the strategies you used? © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
Problem Solving The Smallest Candy Store Problem * What made this problem interesting or unusual? How was it different than other math problems you've done? © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
Problem Solving The Smallest Candy Store Problem * How did working on this problem make you feel? © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
Problem Solving The Smallest Candy Store Problem * How could you modify or adapt the problem into one that your students could work on? © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
Why Math in ECE? Research shows that early math skills are just as predictive, and possibly more predictive, of later academic success than early literacy skills. And yet most preschool classrooms devote much more time to literacy than to math. Duncan, G.J., Dowsett, C.J., Claessens, A., Magnuson, K., Huston, A.C., Klebanov, P., Pagani, L.S., Feinstein, L., Engel, M., Brooks-Gunn, J., Sexton, H., Duckworth, K., and Japel, C. (2007). School readiness and later achievement. Developmental Psychology, 43(6). © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
Why Math in ECE? Why less math? Perhaps because ECE teachers don't see themselves as mathematicians? © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
What is Math? But what is math? © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
What is math? Mathematics is a way of understanding the world around us. © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
What do mathematicians do? Mathematicians don't sit around doing worksheets or lots of calculations all day. They problem solve! © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
What do mathematicians do? Problems versus Exercises © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
NAEYC & NCTM Kids should be problem solving too! Position Statement Recommendations: 4. Strengthen children's problem solving & reasoning processes. 6. Provide for children's deep & sustained interaction with key math ideas. © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
Problem Solving Strategies What are some problem solving strategies that you use in real life, or with your students? Not just in math! © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
Problem Solving Strategies Polya's Four Steps * Understand the problem * Devise a plan * Carry out the plan * Look back © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
Problem Solving Strategies * Guess & check * Make a list/table * Look for a pattern * Draw a picture/model * Solve a simpler problem * Work backwards * Act it out/use manipulatives * Change your point of view * Try special cases © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
Problem Solving Strategies Let's try a few more problems! :-) * What strategies can you use? * What is interesting to you about each problem? © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
Problem Solving Strategies How can you modify or adapt these problems and strategies so that they'll work with the kids in your class? © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
Problem Solving Strategies Let's create some preschool problems! * Start with an interesting situation? * Start with a math concept? * Start with a problem solving strategy? * Start with a harder problem & simplify? © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
Problem Solving Strategies Problem Sharing With Colleagues © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
Problem Solving Strategies * Can you tell me about the problem? * What is the problem asking you to do? * What do you know already? * What have you come up with so far? * Could you draw a diagram? * Can you make a list? * Is this like other problems we've worked on? * Can you make it easier? * Could you do it a different way? © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
Conclusion * I used to think... Now I think... * What new idea or activity are you going to take into your classroom next week? © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
Contact Teresa Gonczy teresaeg@gmail.com Twitter @earlymath Slides will be available on my blog at www.teresaeg.com/blog © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA

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ECE Teachers as Mathematicians

  • 1. EC STEM Institute ECE Teachers As Mathematicians Teresa Gonczy Thursday, Sept 4th, 10:30am © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
  • 2. Problem Solving The Smallest Candy Store Problem * Take a few minutes to try it out yourself * Then collaborate with your group © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
  • 3. Problem Solving The Smallest Candy Store Problem * Create a poster showing your group's thinking about the problem © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
  • 4. Problem Solving The Smallest Candy Store Problem * What were some of the strategies you used? © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
  • 5. Problem Solving The Smallest Candy Store Problem * What made this problem interesting or unusual? How was it different than other math problems you've done? © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
  • 6. Problem Solving The Smallest Candy Store Problem * How did working on this problem make you feel? © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
  • 7. Problem Solving The Smallest Candy Store Problem * How could you modify or adapt the problem into one that your students could work on? © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
  • 8. Why Math in ECE? Research shows that early math skills are just as predictive, and possibly more predictive, of later academic success than early literacy skills. And yet most preschool classrooms devote much more time to literacy than to math. Duncan, G.J., Dowsett, C.J., Claessens, A., Magnuson, K., Huston, A.C., Klebanov, P., Pagani, L.S., Feinstein, L., Engel, M., Brooks-Gunn, J., Sexton, H., Duckworth, K., and Japel, C. (2007). School readiness and later achievement. Developmental Psychology, 43(6). © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
  • 9. Why Math in ECE? Why less math? Perhaps because ECE teachers don't see themselves as mathematicians? © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
  • 10. What is Math? But what is math? © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
  • 11. What is math? Mathematics is a way of understanding the world around us. © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
  • 12. What do mathematicians do? Mathematicians don't sit around doing worksheets or lots of calculations all day. They problem solve! © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
  • 13. What do mathematicians do? Problems versus Exercises © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
  • 14. NAEYC & NCTM Kids should be problem solving too! Position Statement Recommendations: 4. Strengthen children's problem solving & reasoning processes. 6. Provide for children's deep & sustained interaction with key math ideas. © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
  • 15. Problem Solving Strategies What are some problem solving strategies that you use in real life, or with your students? Not just in math! © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
  • 16. Problem Solving Strategies Polya's Four Steps * Understand the problem * Devise a plan * Carry out the plan * Look back © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
  • 17. Problem Solving Strategies * Guess & check * Make a list/table * Look for a pattern * Draw a picture/model * Solve a simpler problem * Work backwards * Act it out/use manipulatives * Change your point of view * Try special cases © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
  • 18. Problem Solving Strategies Let's try a few more problems! :-) * What strategies can you use? * What is interesting to you about each problem? © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
  • 19. Problem Solving Strategies How can you modify or adapt these problems and strategies so that they'll work with the kids in your class? © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
  • 20. Problem Solving Strategies Let's create some preschool problems! * Start with an interesting situation? * Start with a math concept? * Start with a problem solving strategy? * Start with a harder problem & simplify? © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
  • 21. Problem Solving Strategies Problem Sharing With Colleagues © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
  • 22. Problem Solving Strategies * Can you tell me about the problem? * What is the problem asking you to do? * What do you know already? * What have you come up with so far? * Could you draw a diagram? * Can you make a list? * Is this like other problems we've worked on? * Can you make it easier? * Could you do it a different way? © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
  • 23. Conclusion * I used to think... Now I think... * What new idea or activity are you going to take into your classroom next week? © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA
  • 24. Contact Teresa Gonczy teresaeg@gmail.com Twitter @earlymath Slides will be available on my blog at www.teresaeg.com/blog © Teresa Gonczy 2014 – Region IX Head Start Association Early Childhood STEM Institute, San Diego, CA