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GNAW on Limits and Continuity - The Rule of Four Approach:
Here are two G.N.A.W. exercises for your AP Calculus students on the concepts of limits and continuity. This is an essential skill that must be mastered for success on the AP Calculus Exam and Free Response Questions (FRQ).
What is GNAW and the Rule of Four?
The “Rule of Four” or G.N.A.W. Approach is a method of thinking about mathematics in order to make connections through multiple representations of our mathematical thinking. Students should be able to represent mathematics in graphic, numeric, algebraic, and verbal formats. G.N.A.W.
Why should you use the GNAW approach?
By implementing this process into your classes, students will gain a deeper understanding of the mathematics. The Rule of Four helps students connect and validate concepts and techniques.
How can you use the Rule of Four?
Teachers can model this approach during instructional time to set the “tone” for expected thinking and reasoning. Then, give your students many chances to practice the techniques. It is also important that students learn to make connections between the different representations.
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