Question 1

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.

Accepted Answer

To determine if every child on a soccer ...

Question 2

Patterning is an important strategy because:

Accepted Answer

A)  children find patterns easier to work with than other strategies.
B)  without patterns children cannot understand any mathematics beyond arithmetic.
C)  patterns are critical for development of thinking skills.
D)  learning one or two patterns is sufficient and allows time for other topics.

Question 3

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.

Accepted Answer

To solve this problem, we need to calcul...

Question 4

Children's literature may present situations for problem solving.

Accepted Answer

A) True 
 B)False

Question 5

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

Accepted Answer

A)  makes relationships between numbers more apparent.
B)  is easy for children to make these representations.
C)  has connections to art.
D)  has connections to spreadsheets and graphing calculators.

Question 6

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

Accepted Answer

Problem solving should be the focus of m...

Question 7

A problem is a situation that:

Accepted Answer

A)  requires an entire class period to solve.
B)  teachers think the more capable students should be able to solve.
C)  must have only one solution.
D)  has no immediate solution or known solution strategy.

Question 8

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

Accepted Answer

A) True 
 B)False

Question 9

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

Accepted Answer

A)  learning to make a table or a graph is both a problem-solving strategy and mathematical content.
B)  concepts and skills need for data collection and analysis also enable students to organize and present problem data in a table or graph.
C)  recording data gives a visual display that allows students to look for patterns and relationships.
D)  making a graph ensures that mathematical understanding will increase.

Question 10

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

Accepted Answer

A)  incorrect solutions may provide clues to better ones.
B)  it may be used when all the other strategies have not worked.
C)  it is used by itself to solve problems.
D)  it was advocated by Polya.

Question 11

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.

Accepted Answer

The answer of In the Bean Bag Toss game, a...

Question 12

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

Accepted Answer

A)  children understand the steps of a problem through play.
B)  children enjoy acting out stories.
C)  teachers spend more class time in problem solving.
D)  it is related to the process standard of reasoning and proof.

Question 13

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

Accepted Answer

A) True 
 B)False

Question 14

Heuristics refers to:

Accepted Answer

A)  the study of calendars and time.
B)  a simple form of algebra taught in elementary school.
C)  a plan or general organizer for problem solving.
D)  a simple form of statistics taught in elementary school.

Question 15

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.

Accepted Answer

The answer of Using the paper strip below, place an...

Question 16

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

Accepted Answer

A)  reasoning and proof
B)  connections
C)  algebra
D)  mathematical representation

Question 17

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?

Accepted Answer

A)  work backwards
B)  make a table or graph
C)  act it out
D)  solve a simpler problem

Question 18

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

Accepted Answer

A) True 
 B)False

Question 19

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

Accepted Answer

The "break set" or "change point of view...

Question 20

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

Accepted Answer

A)  parents often want their children to learn basic computational skills instead of solving problems.
B)  administrators are not always accepting of the active and noisier problem-solving environment.
C)  teachers have few resources for problem-solving through professional organizations.
D)  preparing students for standardized tests may take away time that could be spent on solving problems.

Exam 7: Developing Problem-Solving Strategies

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?

Correct Answer
verified

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

Correct Answer
Answered by ExamLex AI
The "break set" or "change point of view...
View Answer

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.

Correct Answer
verified

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

Correct Answer
verified

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

Correct Answer
verified

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

Correct Answer
verified

Patterning is an important strategy because:

Correct Answer
verified

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.

Correct Answer
verified

Heuristics refers to:

Correct Answer
verified

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

Correct Answer
verified

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

Correct Answer
Answered by ExamLex AI
Problem solving should be the focus of m...
View Answer

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

Correct Answer
verified

Children's literature may present situations for problem solving.

Correct Answer
verified

Correct Answer
Answered by ExamLex AI
To determine if every child on a soccer ...
View Answer

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

Correct Answer
verified

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

Correct Answer
verified

A problem is a situation that:

Correct Answer
verified

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

Correct Answer
verified

Correct Answer
Answered by ExamLex AI
To solve this problem, we need to calcul...
View Answer

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

Correct Answer
verified

Exam 7: Developing Problem-Solving Strategies

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?

Correct AnswerverifiedShow Answer

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

Correct AnswerAnswered by ExamLex AIThe "break set" or "change point of view...View AnswerShow Answer

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.

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

Patterning is an important strategy because:

Correct AnswerverifiedShow Answer

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.

Correct AnswerverifiedShow Answer

Heuristics refers to:

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerAnswered by ExamLex AIProblem solving should be the focus of m...View AnswerShow Answer

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

Correct AnswerverifiedShow Answer

Children's literature may present situations for problem solving.

Correct AnswerverifiedShow Answer

Correct AnswerAnswered by ExamLex AITo determine if every child on a soccer ...View AnswerShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

A problem is a situation that:

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

Correct AnswerAnswered by ExamLex AITo solve this problem, we need to calcul...View AnswerShow Answer

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

Correct AnswerverifiedShow Answer

Correct Answer
verified

Correct Answer
Answered by ExamLex AI
The "break set" or "change point of view...
View Answer

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
Answered by ExamLex AI
Problem solving should be the focus of m...
View Answer

Correct Answer
verified

Correct Answer
verified

Correct Answer
Answered by ExamLex AI
To determine if every child on a soccer ...
View Answer

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
Answered by ExamLex AI
To solve this problem, we need to calcul...
View Answer

Correct Answer
verified