California Learning Foundations and Curriculum Framework Presents Number
California Learning Foundations and Curriculum Framework Presents: Number Sense © 2018 California. Department ofof Education © 2018 California Education
California Preschool Instructional Network © 2018 California Department of Education 2
3 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. © 2018 California Department of Education
4 Who is here today? Present Absent © 2018 California Department of Education
5 Early Learning Development System © 2013 California Department of Education (CDE) with the West. Ed Center for Child & Family Studies, California Preschool Instructional Network (CPIN). 05/2013
6 Two California Department of Education Resources © 2018 California Department of Education
7 Domain Organization © 2018 California Department of Education
Common Core NCTM Alignment California Learning Foundations Number Sense Common Core Standards • Understanding Number Quantity • Understanding Number Relationships and Operations © 2018 California Department of Education NCTM Focal Points for Prekindergarten 8
9 Hearing from the Experts Dr. Clements says… “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, 2003). © 2018 California Department of Education
10 NRC Report on Early Math • Enter school with far less knowledge gap…progressi vely. Widen throughout their Pre. K-12 years”. • It is an opportunity gap only! © 2018 California Department of Education
Intuitive Sense 11 “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). © 2018 California. Department ofof Education © 2018 California Education
Foundations At 48 and 60 months After 1 st or 2 nd year of preschool With appropriate support High-quality program 12& Family Studies, © 2013 California Department of Education (CDE) with the West. Ed Center for Child © 2018 California Preschool Instructional Network (CPIN). 05/2013 Department of Education
13 Map of the Foundations © 2018 California Department of Education
Curriculum Framework • Guiding Principles • Research Highlights • Routines, environments, and materials • Vignettes • Interactions and Strategies © 2018 California Department of Education 14
15 Guiding Principle “Support English learners in developing mathematical knowledge as they concurrently acquire English” (PCF, Vol. 1, p. 235). © 2018 California Department of Education
Guiding Principle 16 “Build on preschool children’s natural interest in mathematics and their intuitive and informal mathematical knowledge” (PCF, Vol. 1, p. 234). © 2018 California Department of Education
17 Mathematic Domain Framework Strategies • Developmentally appropriate • Reflective and intentional • Individually and culturally meaningful • Inclusive California Department of Education © 2018 California Department of © 2018 Education
“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) © 2018 California Department of Education 18
19 Universal Design for Learning • Multiple means of representation • Multiple means of engagement • Multiple means of expression Number Rock © 2018 California Department of Education
20 Research Highlight Read the Research 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? © 2013 California Department of Education
21 For example… © 2018 California Department of Education
22 Glossary Term: The act of subitizing supports the development of counting, adding, and subtracting. (Clements & Sarama, 2007) © 2018 California Department of Education
Engaging Young Children in Mathematics Clements, D. H. , Engaging Young Children In Mathematics, 2004, pg. 17. © 2018 California Department of Education 23
Engaging Young Children in Mathematics Clements, D. H. , Engaging Young Children in Mathematics, 2004, pg. 17. © 2018 California Department of Education 24
25 How many dots do you see? That’s Subitizing! © 2018 California Department of Education
26 Can perceive group without counting Can use pattern of group To determine the number (e. g. , domino pattern) Can make small collection Can name small collection Learning Trajectory for Subitizing © 2018 California Department of Education
27 Subitizing Games © 2018 California Department of Education
28 Teacher Role Teachers have an extremely important role in supporting children’s understanding of number relationhips and operations. © 2018 California. Department ofof Education © 2018 California Education
29 Observe Children Counting “Observe children’s spontaneous counting and note their developmental level” (PCF, Vol. 1, p. 244). © 2018 California Department of Education
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. 242). © 2018 California Department of Education 30
31 Interaction and Strategies: Graphing with Children Encourage preschool children to collect data, tally totals, and graph the results. © 2018 California Department of Education
32 Let’s Play © 2018 California Department of Education
Exposure to Preschool Mathematics Dr can increase language ability; and has lasting effects into Kindergarten 33 Clements Dr. Clements, Society for Research and Development, 2013 © 2018 California. Department ofof Education © 2018 California Education
34 Interaction Strategy Introduce preschool children to the concepts of addition and subtraction through literature, songs, and games. PCF, Vol. 1, p. 255 © 2018 California. Department ofof Education © 2018 California Education
35 Pair Share Your Knowledge • What are your favorite books to enhance Number sense? • What are your favorite songs to enhance number sense? © 2018 California Department of Education
36 Books and Number Sense Play © 2018 California Department of Education
What might be an appropriate use of technology to enhance this activity? “Counting books elicits spontaneous counting” (PCF, Vol. 1, p. 244). © 2018 California. Department ofof Education © 2018 California Education 37
What are you going to hang on to from today? • What was very new to you? • What was really interesting? • What can’t you wait to try? • What are you still curious about? © 2018 California Department of Education
39 Thank you for coming. We hope you call again soon! © 2018 California Department of Education
- Slides: 39