2. Today’s Agenda 8:30 - 10:00 Personal Strategies Addition - Subtraction - Multiplication - Division 10:00 - 10:30 Nutrition Break SHSS Look at Resources 10:30 - 11:30 Virtual Manipulatives 11:30 - 1:00 Lunch 1:00 - ? Assessment

3. "Mathematics, as a body of knowledge, can be lost. But numeracy is the set of proficiencies that, once gained, are forever with you.” Dave Van Bergeyk

5. Young Mathematicians at Work

6. If learning doesn’t happen, there has been no teaching. The actions of learning and teaching are inseparable. - Catherine Twomey Fosnot

7. Procedural versus Conceptual?

8. Ma and Pa Kettle

10. The Sub Question

11. 17 submarine sandwiches - 22 students. How much for each?

12. Which group got the better deal? What would have been fair?

14. "Mathematics is not a spectator sport!"

29. -secret # p 43 -focus on operations p 47

30. Personal Strategies

33. Informal Methods? Working from left to right is perfectly acceptable if the student is able to keep track. (Front End Approach)

34. Temporarily adding or subtracting numbers. . . 673 + 99 673 + 100 then take 1 away.

35. Breaking a number into Appropriate parts. 307 + 424 300 + 1 + 6 + 424

36. 16 X 25 =

37. 16 X 25 4 groups of 25 is $1.00 so . . . 16 groups must be 400. 16 X 25 80 five 16” are 80 320 twenty 25’s are 320 400

38. Addition

46. So . . . How do we teach subtraction of multi digit numbers?

77. Madison, Wisconsin, Longitudinal Study 4: strategies, facts 3: counting on 2: counting all 1: incorrect Strategy use across grades 1-3

78. Assessment

86. "A man is like a fraction whose numerator Is what he is and whose denominator is what he thinks of himself. The larger the denominator, the smaller the fraction.” -- Tolstoy

87. "Five out of four people have trouble with fractions." -- Steven Wright

88. And my favourite …

89. "Math class is tough.” -- Talking Barbie Doll (1992)

93. www.slideshare.net