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Exploring What it Means to Do Mathematics
This activity contains 11 questions.
"Doing" mathematics includes a collection of verbs a teacher should use, including...
Principles and Standards for School Mathematics
(2000) document makes which of the following statement about drill and practice.
Drill leads to mastery of basic skills
Drill leads to understanding
Drill may produce short term results on traditional tests
Drill should be considered "doing" mathematics
In order to create an environment for doing mathematics, the teacher's role is to....
Test ideas and conjectures and tell students the results
Demonstrate mathematical procedures
Create a spirit of inquiry, trust, and expectations
Focus on posing problems
Traditional teaching approaches lead children to accept all of the following EXCEPT
that making sense of mathematics is what is important
that there is only one way to solve any problem
that they should not expect a to solve a problem without a prescriptive method
that every problem has a predetermined solution
All of the following statements are true about the desirable mathematical environment EXCEPT
students are testing ideas and making conjectures, developing reasons and offering explanations
the focus is on students actively figuring things out
students are working through practice problems to learn the mathematical strategy
reasoning is celebrated as students defend their methods and justify their solution
Repetitive drill is needed to do mathematics as you master the skills.
Using tree diagrams is a good visual way to represent chance situations.
Every idea introduced in the mathematics classroom can and should be completely understood by every child.
Drill should never come before understanding.
Teachers must continue teaching by telling.
Explain the environment that has children "doing" mathematics.
To create paragraphs in your essay response, type <p> at the beginning of the paragraph, and </p> at the end.
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