1. Stephanie Furman DPS Mathematics Program Coordinator

2. Our Goal: To assure that students develop high levels of math literacy, including a deep understanding of and appreciation for mathematics as a tool for thinking about and understanding the world.

3. 1.Make sense of problems and persevere in solving them. 2.Reason abstractly and quantitatively. 3.Construct viable arguments and critique the reasoning of others. 4.Model with mathematics. 5.Use appropriate tools strategically. 6.Attend to precision. 7.Look for and make use of structure. 8.Look for and express regularity in repeated reasoning.

4. How do children begin to learn math?

5. Subitizing -- When you see a group of objects (up to 6/7) you know the count without touching each object one by one.

6.  When you see up to 7 items – ask your child how many? ◦ People in your car ◦ Coins in your hand ◦ Jelly Beans ◦ Play dice games ◦ Playing Cards

7. Conservation -- five counters, no matter how arranged, still retains the same numerical quantity Compensation –- 2+3 =1 + 4 Counting on, trusting the count Composing and decomposing of numbers -- a set of 5 objects can be separated into a set of two objects and a set of three objects, etc. Compare numbers -- five is more than four Cardinality - -The associated oral name for a set of five things - five Unitizing - - concept of place value

9.  “MathRacks support children to move away from counting by ones, towards the use of strategies like doubles, addition, subtraction and making tens---a great way to help automatize the basic facts!”  Catherine Fosnot is a Professor of Education at the College of New York and Past Director of ‘Mathematics in the City’. She has received many awards for her excellence in teaching and is author of Young Mathematicians at Work and Contexts for Learning Mathematics

10. 9 + 7 +1 -1 10 + 6 = 16

13. 98 + 37 = ? Whoa! This is tricky!

14.  98 + 37 = ?  +2 -2  100 + 35 = 135

15.  Beginning multiplication

16. All of these activities….. Help Build Number Sense

17. Look for natural opportunities when you use math in your day…

18. Count coins, add up value, Tip, Change, Sale Price, Best Buy

19. How to tell time Figure out elapsed time - GPS Miles per hour Use a stop watch for racing – graph improvement

20.  Double or half the recipe  Great for fractions!

21. http://www.darienps.org/mathmadness/ Math rack Okta’s Rescue Concentration Kakooma

22.  Look for books with math themes

23.  Go for the Gold  Watch Those Stocks  Get Out of Town  Race for the Pennant  And the Winner Is…  Track Weather Patterns  Chart Summer Blockbusters

24. “Remember that we all climb the hills differently. We take different paths, different steps, and different journeys. We each reach landmarks in different ways and at different times. If we push or pull children up the hill and make them practice our steps, our ways, or, worse yet, drop them by helicopter at points of the journey without the climb of getting there, we may get them up the mountain - but they won’t own it. They may reach the vista, but they won’t feel empowered by the climb. They won’t take on the next hill in the journey. And most important, they won’t have learned how to climb, how to mathematize their own lived worlds. If, however, we support their steps, work with them as young mathematicians, the climbs and the vistas and the joys of the journey will be theirs forever” C. Fosnot

25. "The essence of mathematics is not to make simple things complicated, but to make complicated things simple." — S. Gudder