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The fourth teaching scenario in the text deals with exploring new knowledge. Cho

ID: 3113785 • Letter: T

Question

The fourth teaching scenario in the text deals with exploring new knowledge. Choose one of the student-generated hypotheses below. Describe how you would help a student explore this hypothesis to confirm it if it is correct, or falsify it if it is incorrect and possibly modify it to generate a correct hypothesis. a. Your student says, "You can tell if a four-sided figure is a rectangle by measuring the diagonals. If the diagonals are the same, it is a rectangle. If one is longer than the other, it isn't a rectangle."

Explanation / Answer

The hypothesis made by the student isnot completely true. Isosceles trapium are also the quadilaterals whole diagonals are of equal lengths. Rectangles and isosceles trapeziums have equal length diagonals.