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©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013.

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Presentation on theme: "©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013."— Presentation transcript:

1 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013 California Learning Foundations and Curriculum Framework Presents: Number Sense ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013

2 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013 Outcomes Participants will become aware of key concepts to be developed in the Number Sense strand of the Preschool Learning Foundations (PLF). Participants will become aware of key strategies in the Preschool Curriculum Framework (PCF) regarding Number Sense development. 2

3 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013 Who is here today? PresentAbsent 3

4 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013 Early Learning Development System 4

5 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013 Two California Department of Education Resources 5

6 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013 Domain Organization 6

7 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013 Common Core NCTM Alignment California Learning Foundations Number Sense Understanding Number Quantity Understanding Number Relationships and Operations Common Core Standards NCTM Focal Points for Prekindergarten 7

8 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013 Hearing From the Experts Children possess and build mathematical competencies from their first year and keep on learning mathematical ideas throughout their preschool years. Clements, D.H. & Sarama, J. Creative Pathways to Math, Scholastic Early Childhood Today Journal, Dr Clements Says 8

9 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013 Trends in International Mathematics and Science Study 2011 Chart Explaining 2011 Trends. Forward Growth Compared with 1995, the U.S. average mathematics score at grade 4 was 23 score points higher in Compared with 2007, the U.S. average mathematics score at grade 4 was 12 score points higher in International Comparisons At grade 4, the United States was among the top 15 education systems in mathematics. At grade 8, the United States was among the top 24 education systems in mathematics. 9 Full Report

10 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013 International Growth Over Time Full ReportHighlights: Unites States changed an average of 23 points in overall scoreUnites States changed an average of 23 points in overall score Portugal changed an average of 90 points in overall scorePortugal changed an average of 90 points in overall score The Czech Republic changed an average of -30 points in overall scoreThe Czech Republic changed an average of -30 points in overall score 10

11 FRAMEWork Quote Children enter preschool with an intuitive understanding of number and operations and with a natural curiosity and eagerness to learn about numbers. PCF, Vol.1, p. 241 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/

12 Foundations After 1 st or 2 nd year of preschool With appropriate support 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). 05/

13 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013 Map of the Foundations 13

14 Curriculum Framework Guiding Principles Research Highlights Routines, environments, and materials Vignettes Interactions and Strategies ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/

15 15 Guiding Principle Support English learners in developing mathematical knowledge as they concurrently acquire English. PCF, Vol. 1, p. 235 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013

16 Guiding Principle Build on preschool childrens natural interest in mathematics and their intuitive and informal mathematical knowledge. PCF, Vol. 1, p. 234 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/

17 Mathematic Domain Framework Strategies Developmentally appropriateDevelopmentally appropriate Reflective and intentionalReflective and intentional Individually and culturally meaningfulIndividually and culturally meaningful InclusiveInclusive ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/

18 18 Individualization of learning includes all children. PCF, Vol. 1, p. 5 Recognizing that children follow different pathways to learning, this framework incorporates a concept known as universal design for learning PCF, Vol. 1, p. 13 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013

19 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013 Universal Design for Learning Multiple means of representation Multiple means of engagement Multiple means of expression Number Rock 19

20 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013 Research Highlight Read the Highlight on Page 251 Discussion Points What strategies have you seen children use to solve arithmetic? Of those strategies, what types of representation are used? 20

21 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013 For example… 21

22 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013 Glossary Term : The act of subitizing supports the development of counting, adding, and subtracting. (Clements & Sarama, 2007) 22

23 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013 Engaging Young Children in Mathematics Clements, D.H., Engaging Young Children In Mathematics, 2004, pg

24 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013 Clements, D.H., Engaging Young Children in Mathematics, 2004, pg Engaging Young Children in Mathematics

25 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013 How many dots do you see? Thats Subitizing! 25

26 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/ Can name small collection Can make small collection Can use pattern of groupTo determine the number(e.g., domino pattern) Can use pattern of groupTo determine the number(e.g., domino pattern) Can perceive groupwithout counting Can perceive groupwithout counting Learning Trajectory for Subitizing

27 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013 Subitizing Games 27

28 28 Teacher Role Teachers have an extremely important role in supporting childrens understanding of number relationhips and operations. ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013

29 29 Observe Children Counting Observe childrens spontaneous counting and note their developmental level. PCF, Vol.1, p. 244 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013

30 Developmental Counting Sequence As teachers observe the children throughout the day, they are likely to encounter a great deal of spontaneous counting and reasoning about numbers. PCF, Vol. 1, p ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/

31 31 Interaction and Strategies Graphing with children Encourage preschool children to collect data, tally totals, and graph the results. ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013

32 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013 Lets Play 32

33 Dr Clements Exposure to Preschool Mathematics can increase language ability; and has lasting effects into Kindergarten Dr. Clements, Society for Research and Development, 2013 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/

34 34 Interaction Strategy ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013 Introduce preschool children to the concepts of addition and subtraction through literature, songs, and games. PCF, Vol. 1, p. 255

35 35 Pair Share Your Knowledge What are your favorite books to enhance Number sense? What are your favorite songs to enhance number sense? ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013

36 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013 Books and Number Sense Play 36

37 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013 What might be an appropriate use of technology to enhance this activity? Counting books elicit spontaneous counting. PCF, Vol. 1, p. 244Counting books elicit spontaneous counting. PCF, Vol. 1, p

38 What are you going to hang on to from today? What was very new to you? What was really interesting? What cant you wait to try? What are you still curious about? ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013

39 ©2013 California Department of Education (CDE) with the WestEd Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013 Thank you for coming; we hope you call again soon! 39


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