1. Before you get comfortable… Please take a jaunt around the room and add your information to the Daily Data charts that are posted. ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013) 1

2. Mathematical Reasoning Foundations and Framework Volume 1 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013)

3. Outcomes Participants will become aware of key concepts to be developed in the Mathematical Reasoning strand of the California Preschool Learning Foundations (PLF). Participants will become aware of key strategies in the California Preschool Curriculum Framework (PCF) regarding Mathematical Reasoning development. Participants will consider how to support the development of Mathematical Reasoning foundations for children learning English as a second language. Participants will consider how to adapt curriculum to ensure access for children with varying needs. 3 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013)

4. Can you put the puzzle together? Preschool Math: Guiding Principles ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013)

5. Two California Department of Education Resources ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013) 5

6. Early Learning Development System Start Here

7. Summary of Findings 7 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013)

8. Domain Organization ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013) 8

9. Rolling on to the Math Foundations ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013) 9

10. Connections to Kindergarten Alignment Document ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013) 10

11. Map of the Foundations 11 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN).

12. Foundations With appropriate support After 1 st or 2 nd year of preschool At 48 and 60 months High-quality program ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013)

13. Mathematical Mathematical Reasoning ThinkThink Reason logicallyReason logically Apply math knowledgeApply math knowledge Create different solutionsCreate different solutions ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013)

14. Mathematical Reasoning is woven through: Five math strandsFive math strands Daily routineDaily routine Teacher interactionsTeacher interactions ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013)

15. Hearing From the Experts Dr. Clements Says 15 Children like to play with Math. Clements, D.H. & Sarama, J. Creative Pathways to Math, Scholastic Early Childhood Today Journal, 2003. ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013)

16. Research Bite Recent Research indicates that school- entry math skills have the greatest predictive power for later achievement in school, compared with reading, attention skills, and social development. Duncan et al. 2007 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013) 16

17. From longitudinal research we know: Children learn from: –Generalizing solutions –Repeating activities –Practicing mental actions 17 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013)

18. The Framework: …presents strategies and information to enrich learning and development opportunities for all of Californias preschool children. PCF, Vol. 1, p. v ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013)

19. Practicing with Vignettes Turn to page 286 in the PCF. What opportunities do you see for: –Generalizing –Repeating –Practicing mental representations What other math did you see happening? –(number of steps, etc) ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013) 19

20. Universal Design for Learning Multiple means of representation Multiple means of engagement Multiple means of expression ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013) 20

21. In Volume 1, Discover Ideas for: EnvironmentsEnvironments Building on childrens playBuilding on childrens play MaterialsMaterials Teacher-guided learning activitiesTeacher-guided learning activities ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013) 21

22. Research Bite The number of distinct mathematics activities in which children engage is just as important as total time on task in supporting their learning of mathematics. Sarama, J., Clements, D.H., Wolfe, C.B., & Spitler, M.E. (2012). Longitudinal evaluation of a scale-up model for teaching mathematics with trajectories and technologies. Journal of Research on Educational Effectiveness, 5, 105-135. ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013)

23. Lets Watch: Mathematical Reasoning ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013) 23

24. Children eagerly engage in mathematical reasoning when: The context is familiarThe context is familiar The problem is meaningfulThe problem is meaningful They have an existing knowledge baseThey have an existing knowledge base ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013)

25. One More Time What did you see? How did that relate to information on the previous slide? What did you notice that was important? How might you replicate it in your program? ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013) 25

26. What Do the Mathematical Reasoning Vignettes Have in Common? Each person at the table chooses a strand card Read a vignette in your strand Discuss what the adults were doing Use Sticky wall (or use sticky notes) Are there some things in common? ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013) 26

27. Guiding Principle Provide an environment rich in language, and introduce preschool children to the language of mathematics PCF, Vol. 1, p. 235 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013)

28. Minute to Win It Open-Ended Questions Get ready to write One minute on the clock When I turn the slide come up with as many open ended questions as you can that might be applicable to the photograph. ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013) 28

29. Minute to Win It ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013)

30. Mathematically Reasoning Interaction Strategies Read handout and highlight something in each section Write one of the questions on a sentence strip You have five minutes ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013) 30

31. Conversations Considering Dual- Language Learners Scaffold communication by combining English words with some type of body gesture or visual cue. PCF, Vol.1, p. 199 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013)

32. Talk About the Here and Now Gives the child the chance to narrow down what the conversation is aboutGives the child the chance to narrow down what the conversation is about Allows child to focus in on a more restricted number of options to respondAllows child to focus in on a more restricted number of options to respond Share the same physical space and have reference to the same informationShare the same physical space and have reference to the same information Allows the teacher to provide some missing vocabulary informationAllows the teacher to provide some missing vocabulary information Stage 1: Home Language Stage 2: Observational/Listening Stage 3: Telegraphic/Formulaic Stage 4: Fluid Use ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013)

33. Daily Data in Our Day ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013)

34. Create learning invitations with objects that are relevant and meaningful to the children in your group. PCF, Vol. 1, p. 238 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013)

35. Environment Materials ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013) 35

36. An Few Ideas to Take Back Whats my cage? Mr. Fur Ball Daily Data ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013) 36

37. Thank you for coming! ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). (08/2013) 37