Mathematical Reasoning - Mathematics Learning
[Pages:44]Mathematical Reasoning
Too little attention is being given to mathematical reasoning. Too many students are unable to solve Nonroutine problems. Students become procedurally oriented.
Mathematical Reasoning
What number does 11 tens, 8 ones, and 2 hundreds make?
Responses: 1182; 2118; 118. 02; 318
Grade six Grade seven Grade eight
Level 3
43% 46% 50%
2,000+ were not successful.
Mathematical Reasoning
Jill had 23 candies. She put the same number in each of two bags and had seven candies left over. How many did she put in each bag?
Grade six Grade seven Grade eight
Level 3 68% 69% 70%
Problem Solving
DEFINITION:
Problem solving is what you do when you don't know what to do.
If you know how to get an answer, it is not problem solving
Problem Solving Strategies
Problem Solving
Problem solving now appears in all standards
? Strand
? Way of Teaching
Which cubes share exactly four
faces with other cubes?
How many are there?
Problem Solving Strategies
Try a number Look for patterns Guess and test Draw a diagram Work backwards Act it out . . . . .
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