CGI & The Common Core: A Perfect Match. Educators Summer Symposium June 8, 2011 Sue McAdaragh. "To teach means scarcely anything more than to show how things differ from one another in their different purposes, forms, and origins...therefore, he who differentiates well teaches well."
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Educators Summer Symposium
June 8, 2011
"To teach means scarcely anything more than to show how things differ from one another in their different purposes, forms, and origins...therefore, he who differentiates well teaches well."
- John Amos Comenius (17th Century Educator)
*CGI is also a Professional Development program.
The way that teachers’ knowledge, beliefs and practices are influenced by their understanding of students’ mathematical thinking;
Instruction that influences that development;
Teachers’ knowledge and beliefs that influence their instructional practices;
Bill McCallum, University of Arizona
"Students who lack understanding of a topic may rely on procedures too heavily. Without a flexible base from which to work, they may be less likely to . . . deviate from a known procedure to find a shortcut. In short, a lack of understanding effectively prevents a student from engaging in the mathematical practices."
…understand relationships, properties, and procedures
…are able to explain and justify one’s actions on numbers
…are able to use strategies appropriately and efficiently
3/5 or 1/2?
How did you decide?
1/2, 1, 2, or 8
Why do you think that?
Why did you think that?
There are 295 students in the school. School buses hold 25 students. How many school buses are needed to fit all the students?
How did you figure out the answer?
5 10 20 30
Don’t figure out the exact answer to this problem. Without using paper and pencil, decide which of the choices is closest to the answer – 5, 10, 20, or 30.