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### 20 Cards in this Set

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 Name the 7 Types of variables Labels, Constants, Unknowns, Generalized Numbers, Varying quantities, parameters, abstract symbols Give an example of a label f (feet) y (yards) Give an example of a constant pi, k, Give an example of a unknown 5x-9=91 Give an example of a generalized number a and b a+b=b+a Give an example of a varying quantity xy, in y=9x-2 Give an example of a parameter m,b in y=mx+b Give an example of a abstract symbol e,x in e*x = x What type of varaible is x? y = mx+b What type of varaible is x? 56= 23+5x What type of varaibles are f and i? 5f and 3i What type of varaibles are a,b, and c? a(bc)=(ab)c Name several constant variables. pi, k, e, c (speed of light) What type of varaibles are x and y? y=239x + 4 What is teaching ABOUT problem solving? teach the strategy then give problems. Taught several strategies which they can choose from to solve a problem. What is teaching FOR problem solving? teach the mathematics and then give problems to apply it to What is teaching VIA problem solving? Learning the math through the problems What is Conceptual Understanding? understanding what each part of a problem/expression mean or represent (pretty much what we do in class). Understanding throughout the process and understanding what you want and where/what you are going to do to get it. What is Calculational Understanding? "fundamental image of mathematics as a application of calculations and procedures fro deriving numerical results." Worried about procedures, wants to get answers. Who wrote about Calculational and Conceptual Understanding? Thompson, Thompson, Philipp, and Boyd