UGA EMAT 8990 - Findell 8990 Seminar (2 pages)

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Findell 8990 Seminar



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Findell 8990 Seminar

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Pages:
2
School:
University of Georgia
Course:
Emat 8990 - Resch Sem Math Edu

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EMAT 8990 First Year Doctoral Seminar Brad Findell Fall 2006 Mathematical Knowledge for Teaching Many teachers have quick answers to and explanations for the questions below If as part of an oral exam or a job interview you were asked these questions how would you respond For authenticity answer off the top of your head and speak your answers aloud Be sure to provide an explanation 1 2 3 4 5 6 7 8 9 Is 0 even odd neither or both Why is a negative times a negative positive Is 1 prime composite neither or both Is a line parallel to itself Are parallel lines everywhere equidistant Is a parallelogram a trapezoid Is a square a rectangle Is a rhombus a square If you triple all the lengths in a pyramid what happens to its volume What happens to its surface area 10 What is the slope of a vertical line 11 What is the sum of the angles in a triangle 12 What is the area of a circle of radius r 13 What is a0 14 What is a n 15 What is am n 16 What is ax if x is irrational 17 If f is a function what does f 2 mean 1 18 Is cos 1 x cos x 1 19 Is f x continuous x 20 How can you construct an equilateral triangle given one side 21 How do you construct a tangent to a circle from a point outside the circle 22 Is 4 2 23 What is 2 0 24 What is 0 0 25 To divide fractions is it okay to convert to a common denominator and divide numerators 26 To divide fractions it is okay to divide the numerators and divide the denominators 27 Is 99999 1 Take a moment to jot down some notes on how well you think you did Then step back from this activity and consider the following meta questions What kinds of answers are reasonable to expect from high school students What kinds of answers are reasonable to expect from high school mathematics teachers What kinds of answers are reasonable to expect from high school mathematics teacher educators Take a moment to jot down some thoughts characterizing the differences among the answers you might expect from these different populations For most of the above



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