Exam 7: Developing Problem-Solving Strategies

Heuristics refers to:

One value of the guess-and-check strategy is that:

Learning about problem solving refers to finding real-life problems to solve.

The following are characteristics of the strategy make a table and/or a graph except :

Implementing a problem-solving curriculum may be difficult for all of the following reasons except:

The strategy of making a table or graph is important because it:

Mike saw a new ebook reader advertised in the newspaper for $160. How much would he pay his credit card if he paid 1% interest each month and paid it all off after one month? If he paid half in one month and the other half the next month? If he paid it off in three month of equal installments? In four months? In twelve equal installments? Work in small groups to see if you can find a pattern in solving the problem.

The "break set" or "change point of view" strategy can be difficult for some students to implement. Explain why.

Learning through problem solving means that students learn mathematics while they are solving problems.

Using the paper strip below, place an X in one of the squares so that if the paper strip were folded along the dashed fold line, the square with the X could cover the shaded square.

In the Bean Bag Toss game, a player can score the points shown. Max tossed three bean bags in the same hole and two bean bags in another hole. What is the highest score that max could receive for these five tosses?  Show how you found your answer using pictures, words or numbers.

Children's literature may present situations for problem solving.

The strategy for problem-solving called Act it Out is useful because:

The problem below is best solved using which strategy? Pick a number, double it, add 5, double the result, subtract 6, divide by 2. If Mary's answer is 20, what was her beginning number?

Problem solving is best taught as a way to practice computation.

If a store sells four flavors of ice cream and three toppings, can every child on a soccer team of 20 players have a different ice cream sundae? Using the problem-solving strategy "account for all possibilities," determine whether you have 20 combinations, more than 20, or fewer than 20. Discuss and compare how you represented your solution.

A problem is a situation that:

Explain why problem solving should be the focus of mathematics teaching and learning.

Patterning is an important strategy because:

The problem-solving strategies of acting out, drawing, and modeling are most directly related to which process standard?