1. Math for Infants and Toddlers Early Mathematical Thinking This Power Point was developed by Peggy Janitz and Margaret Nava, Curriculum Specialists from RCMA. Spring 2016

2. At the end of this workshop, you will ….. Learn the five types of infant and toddler experiences that lay the foundation for math. Know how to create environments and use adult-child interactions that encourage mathematical thinking and experiences.

3. Sources of Information

4. Five Components of Math 1.Numbers: Quantity & One to One Correspondence 2.Geometry: Shapes and Spatial Relationships 3.Measurement : Size, weight, time 4.Algebra: Patterns, Relationships, and Change 5.Data Analysis: Collecting and Organizing Information

5. From the very beginning, infants are exploring objects around them. They begin by gazing or looking at nearby objects.

6. Infants reach out for nearby objects.

7. Soon, infants are holding, mouthing and banging objects together.

8. Toddlers carry toys, climb on everything and hide behind objects.

9. Children begin to see that objects and materials are separate from them.

10. Toddlers learn that there can be one of something or…...

11. many of something.

12. We don’t need to teach math to infants and toddlers.

13. Infants and toddlers are intrinsically motivated to explore their world.

14. So, what do the teachers do? Provide rich, inviting environments to explore. Have warm and caring interactions. Observe the actions of infants and toddlers. Give words for what children are doing.

15. Math Component 1: Number: Quantity, & One to One Correspondence

16. Experiencing number: quantity & one to one correspondence When the teacher pulls the nipple from Maria’s mouth, she begins to fuss. When the teacher puts the nipple back into her mouth, she sucks happily. Maria wanted MORE milk.

17. Experiencing number: quantity A baby smiles at her mother. The mother smiles back. The baby discovers that if he keeps on smiling MORE, his mother will also give MORE smiles.

18. Experiencing number: one-to-one correspondence Daniel and Tony are inserting wooden clothespins into holes in the lid of a plastic container. One clothespin, one hole!

19. Experiencing number: quantity All the children in this classroom are marching. They are experiencing the math concept of all the children.

20. Experiencing number: quantity Paula has used a lot of glue to stick her papers together. She is running low on glue and needs some MORE glue.

22. Math component #2: Geometry: Shapes, Spatial Relationships

23. Experiencing Geometry: Shapes The black and white ball hangs above the mat where Teddy likes to explore. As he watches the ball, he uses his eyes to track it move in a breeze. He is learning to look for the contours of shapes.

24. Experiencing geometry: spatial relationships Maria is exploring a kitchen cabinet. She pulls out pots and pans and crawls inside. She is experiencing filling and emptying space.

25. Experiencing geometry: shapes Erick has found a container of small wooden blocks with many different shapes. He touches them, dumps some on the floor and even tastes a few of them.

26. Experiencing geometry: spatial relationships Kevin is raising his hands up to his dad, to show that he wants lifted up. He is experiencing different perspectives and demonstrating an understanding of “up”.

27. Exploring geometry: spatial relationships Jose’s teacher asked him if he wanted to get inside the new tunnel. In response, he crawled into the tunnel. He is beginning to understand simple position words such as in, on, under, over, and next to.

29. Math component #3: Measurement: size, weight & time

30. Experiencing measurement: Time Little Clara gets hungry about 9am each morning. As soon as she sits down with her teacher, she anticipates what will happen next. She puts her hand in her mouth and begins to suck on her fingers.

31. Experiencing measurement: Time One of the most important time experiences is following a predictable daily routine. Children begin to learn that breakfast happens when I get to school. Outside time is after we sing songs. Mommy comes after I take a nap, etc..

32. Experiencing measurement: Size & weight Andy is playing with a really big vinyl covered foam cylinder. It is almost as big as he is and is hard to carry! It weighs as much as Andy, too!

33. Experiencing measurement: Time Tomas tries to take the toy away from Sasha. Sasha does not want to give it to Tomas. She wants MORE time with the toy!

34. Experiencing measurement: Time Tia is making cookies with her mom. They put the cookies in the oven and set a timer for 12 minutes.

35. Experiencing measurement: Time John helped to plant some flowers last month. He is now helping them to grow by watering them, every day. Since they planted the flowers, they have grown much bigger.

37. Math component #4: Algebra: patterns, relationships and change

38. Experiencing algebra: patterns Jason and Tyson are twins. On this day they both wore outfits with big blue and white stripes.

39. Experiencing algebra: Measuring Jenny is scooping sand and pouring it into the back of the truck. It takes several scoops to fill a truck!

40. Experiencing algebra: Measuring Katy and Lisa are playing with bowls that have different sizes. Some are big, some are little and some are “just right”.

41. Experiencing algebra: patterns & relationships There are 3 red circle puzzle pieces. They go from little to big. There are also 3 blue square puzzle pieces. They go from big to little. What do children learn when they play with this?

42. Experiencing algebra - patterns Every day, right before lunch, Peter’s teacher reads a book. This is one of his favorites – he knows the story so well, sometimes he repeats the words on a page before the teacher does. “Are you my mother?”

44. Math component #5: Data analysis: collecting & organizing information

45. Experiencing data analysis: organizing information Infants and toddlers learn about their classroom, including where to find things. This helps children to know where to put things when they are done. Teachers should have organized classrooms.

46. Experiencing Data Analysis: organizing information Patty is exploring and organizing information about her classroom. She is mouthing a hard rubber ball and leaning on a soft vinyl edge.

47. Experiencing data analysis: organizing information Bindi and Molly explore wooden objects stored in a clear plastic jar. Each item is tested by the girls for shape, size, texture, weight and even taste.

48. Experiencing data analysis: organizing information Treasure baskets full of interesting objects for infants and toddlers to explore encourage them to analyze, sort, and classify.

49. Experiencing data analysis: collecting Jorge is outside, collecting treasures and putting them into a bag.

50. Experiencing data analysis: organizing information Michael has been exploring small wooden bowls. He lined them up. He noticed they were similar and they could be right-side up or upside down and on top of each other.

51. Experiencing data analysis: organizing information Clara and her teacher are sorting socks by color or grouping things that belong together.

53. Five Components of Math 1.Numbers: Quantity & One to One Correspondence 2.Geometry: Shapes and Spatial Relationships 3.Measurement : Size, weight, time 4.Algebra: Patterns, Relationships, and Change 5.Data Analysis: Collecting and Organizing Information

54. How will you use this information?

55. The end