K-12 Essential Questions
GIPS K-12 Mathematics Studies Program
Essential Questions
Strand 1: Communicating Mathematical Thinking
Problem Solving
• What do I see/visualize/think when I look at this problem? What information do I have?• What information do I need? How do I get that information?
• What strategy did I decide to use to solve the problem? What strategies did other students use? What strategy is best?
• What do I do when I get stuck?
• What common mistakes do people make when working with this type of problem? What is the misunderstanding that causes the
mistake?
Connections
• Have I seen this before? How does that connection help?• Where do I recognize and apply mathematics in my life?
Reasoning and Proof
• Does my answer/solution make sense? How do I defend/prove my answer/solution?• What is the logic behind the reasoning? Does the logic hold up?
• What is the pattern/rule? Does the pattern/rule always work?
Representation
• How do I best show my thinking?• What makes a representation appropriate, useful, and/or thought provoking?
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