12. Strategies: Semantic Maps New Concept Characteristics Characteristics Characteristics Characteristics Category Example Example Example What it’s Not
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14. Try One … Vertical Angle Pairs Characteristics Characteristics Characteristics Characteristics Category Example Example Example What it’s Not
LOGAN: What does each word imply about content that is being addressed? Is there a different skill set or body of information required with each? Do students really know the difference?
LOGAN: What does each word imply about the task at hand? Is there a different skill set required with each? Do students really know the difference?
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LOGAN: Also known as concept maps
LOGAN: Example
LOGAN: Have them try one for “Vertical Angle Pairs”
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LOGAN: Tell story about UCTM presentation and my misconception about the meaning of the term “variable”
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LOGAN: A variable “varies” A constant does not vary (it is a fixed number). Constants can be known or unknown.
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LOGAN: Answer: a variable.
LOGAN: Answer: an unknown constant. If we consider x as a variable, then the left-hand side of the equation can vary. This is problematic because the right-hand side of the equation is fixed.
LOGAN: Answer: a variable. Y is a variable too. It varies with respect to x based on the relationship described by the equation, but it still varies.
LOGAN: Answer: a variable.
LOGAN: Answer: a constant. It is not a single number, it is rather a set of numbers (if we solve it, we find that x is the set of all numbers less than 5), but the set doesn’t vary. More particularly, we could say that x represents an unknown set of constants.
LOGAN: Answer: a variable. Although the domain is limited (x can’t be 5), x still varies. Variable doesn’t mean it can be any real number, it just means “varies”