Massachusetts State Preschool Learning Experiences Mathematics Module

1. Massachusetts State Preschool Learning ExperiencesMathematics Module Created by UMass Boston EECIS faculty Please press the play button to move to the next slide.

2. Overarching Principles These principles should be kept in mind at all times when thinking about preschool curriculum and working with young children. • All children are capable of learning • Children show individual differences in development • Knowledge of child growth and development is essential for program development and implementation • Children’s language skills are the best indicators of academic success • Developmental domains are highly interrelated • Young children learn by doing • Families are the primary caregivers and educators of their young children

3. Overview of the Math Preschool Learning Experiences • Number Sense • Patterns and Relations • Shapes and Spatial Sense • Measurement • Data Collection and Analysis Review the Overview of Math document before continuing this module.

4. Number Sense 1 Children need to learn to say numbers and connect them to the appropriate quantities. . 1. Listen to and say the names of numbers in meaningful contexts. Image courtesy of Kathy Cassidy (http://farm4.static.flickr.com/3452/3985204293_ab78bcb2dd_o.png) (2009) Attribution-NonCommercial-ShareAlike 2.0 Generic (CC BY-NC-SA 2.0) Video clip: Five Little Monkeys Video

5. Number Sense 2 2. Connect many kinds/quantities of concrete objects and actions to numbers. Image courtesy of Klean Kanteen (http://slir2.shiftingpixel.com/slir/w900/wp-content/uploads/2008/01/orange-pear-apple.jpg) Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License)

6. Number Sense 2

7. Number Sense 3 3. Use positional language and ordinal numbers (first, second, third) in everyday activities.

8. Number Sense 4 4. Use concrete objects to solve simple addition and subtraction problems using comparative language (more than, fewer than, same number of). Image courtesy of Ricardo G. Silveria (http://farm4.static.flickr.com/3451/3287127073_0c9a41f33d_o.jpg) Attribution-NonCommercial-ShareAlike 2.0 Generic (CC BY-NC-SA 2.0)

9. Number Sense 5 5. Observe and manipulate concrete examples of whole and half. Image courtesy of FreeFioto.com (http://www.freefoto.com/images/09/18/09_18_2---Pizza_web.jpg?&k=Pizza) Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License Image courtesy of Gage Batubara (http://farm4.static.flickr.com/3261/2554989159_3aac7a26af.jpg?v=0) (2008) Attribution-NonCommercial-NoDerivs 2.0 Generic (CC BY-NC-ND 2.0)

10. Number Sense 5 Here are two books that can be used to talk about whole and half fractions. These books provide connections to literacy standards as well. • Pallotta, Jerry. (2002) Apple Fractions. New York, New York: Scholastic. Illustrated by Rob Bolster • Murphy, Stuart. (1996) Give Me Half! New York: Harper Collins. Illustrated by G. Brian Karas 

11. Number Sense 6 6. Examine, manipulate, and identify familiar U.S. coins (penny, nickel, dime, quarter) in play activities.

12. Number Sense 6

13. Patterns and Relations 7 7. Explore and describe a wide variety of concrete objects by their attributes. Image courtesy of Chris (http://www.rudecactus.com/archives/ALL-thumb.jpg) Attribution-NonCommercial-ShareAlike 2.0 Generic (CC BY-NC-SA 2.0)

14. Patterns and Relations 8 8. Sort, categorize, or classify objects by more than one attribute. Click the link to watch the a child creating a pattern: Patterns

15. Patterns and Relations 9 9. Recognize, describe, reproduce, extend, create, and compare repeating patterns of concrete materials. Bag and Tag Video

16. Shapes and Spatial Sense 10 10. Investigate and identify materials of various shapes, using appropriate language. In this video, children learn about shapes in their environment: Shapes video

17. Shapes and Spatial Sense 11 11. Explore and identify space, direction, movement, relative position, and size using body movement and concrete objects. • On • In • Under • Behind • Over • In front of • Above • Below • High-low • Over-under • In-out • Near-far • Big-small Puzzle Video

18. Shapes and Spatial Sense 12 12. Listen to and use comparative words to describe the relationships of objects to one another.

19. Measurement 13 13. Use estimation in meaningful ways and follow up by verifying the accuracy of estimations. Image courtesy of Flickr (http://farm4.static.flickr.com/3163/2694742593_dd907f3dc2.jpg) Attribution-NonCommercial-NoDerivs 2.0 Generic (CC BY-NC-ND 2.0)

20. Measurement 14 14. Use nonstandard units to measure length, weight, and amount of content in familiar objects. Measurement video

21. Data Collection and Analysis 15 15. Organize and draw conclusions from facts they have collected. Watch this video on graphing with blocks: Blocks video

22. Next Steps • Go to Blackboard and read the three (3) articles provided for the math module. • Review the Scope and Sequence checklist. • Take the quiz to check your understanding of the standards. • Complete the assignment for the math module and turn it in via Blackboard. Congratulations! You have completed the math module.