Question 1

According to the NCTM Standards,which of the following characteristics is required for an activity to be truly problem solving?

Accepted Answer

A)  The method used to solving the problem is not known in advance.
B)  Example procedures should be given in advance.
C)  The answer is available in advance.
D)  Students only work independently. A

Question 2

Which of the following is not beneficial for developing problem solving skills?

Accepted Answer

A)  Discussing alternative reasons for why an event occurred
B)  Collecting data
C)  Designing an apparatus
D)  Copying a chart from the internet D

Question 3

Which of the following is one of the five standards of Authentic Learning?

Accepted Answer

A)  Increasing visualization
B)  Substantive conversation
C)  Critical analysis of textbooks
D)  Expansion of homework activities B

Question 4

Which of the following is a characteristic that concrete sequential teachers would tend to have?

Accepted Answer

A)  Expect students to use proper procedures when completing activities.
B)  Give many alternatives to assignments for their students.
C)  Challenges children to look for varying answers for questions.
D)  Not give detailed criteria for student assignments.

Question 5

Which of the following characteristics would be most typical for active learners?

Accepted Answer

A)  Debate which questions are most critical for project design
B)  Collect materials quickly and start projects
C)  Reflect on why events turned out the way they did
D)  Try to resolve details before starting

Question 6

Which of the following would be a valid reason for increasing children's questions in the classroom?

Accepted Answer

A)  Questions develop students' ownership for their learning.
B)  Questions cause teachers to give answers about the question.
C)  Questions impact the time available for hands on activities.
D)  Questions give students an opportunity to stand out.

Question 7

Which of the following activities would help students develop their skills in the 'Drawing Conclusions' stage of problem solving?

Accepted Answer

A)  Developing a chart from data
B)  Deciding what caused an experiment to have the results that it did
C)  Asking questions about insects
D)  Double checking the process followed for an activity

Question 8

Which of the following activities would help students develop their skills in Developing Procedures?

Accepted Answer

A)  Invite students to construct a tower out of drinking straws.
B)  Develop five questions about what caused a plant to die.
C)  Have students determine why one frog jumped farther than the others.
D)  Analyze data from a weather report.

Question 9

Random Abstract teachers would be more likely to expect students to do which of the following?

Accepted Answer

A)  View many options for designing a project
B)  Meet all requirement guidelines
C)  Construct a model according to the diagram in a book
D)  Measure all observations using standard procedures

Question 10

Which of the following attributes is essential for incorporating the philosophy of problem solving?

Accepted Answer

A)  Must start at Defining the Problem.
B)  Must end at Drawing Conclusions.
C)  Can only incorporate one of the four stages.
D)  Can be initiated at any stage.

Question 11

Which of the following characteristics would you see from teachers who promote problem-solving opportunities for their students?

Accepted Answer

A)  Have a scripted process for classroom activities.
B)  Give detailed procedures on the process required.
C)  Present problem-solving opportunities that as based on the children's real-life experiences.
D)  Promote memorizing information so that they will be more successful at problem-solving.

Question 12

Which of the following would be an indication that an activity is a good classroom problem solving experience?

Accepted Answer

A)  Students all solve a problem using the same process.
B)  Students are pleased when they have the answer.
C)  Students all agree about how to solve the problem.
D)  Students solve the problem through several different techniques.

Question 13

Which of the following is a valuable attribute for having children solve problems?

Accepted Answer

A)  They spend less time developing an answer.
B)  They do not need to use any equipment and materials.
C)  All of the problems can be given for time outside of the classroom.
D)  They often develop new mathematics understanding.

Question 14

Which of the following is an example of having students develop experiences in conducting a procedure?

Accepted Answer

A)  Designing a bridge out of toothpicks
B)  Estimating the number of marbles in a jar
C)  Baking cookies using a detailed recipe
D)  Asking questions about a flower

Question 15

Which of the following would be an example of children developing skills in defining a problem?

Accepted Answer

A)  Use measurement for their observations
B)  Ask questions about a stream
C)  Debate what caused an earthquake
D)  Develop a process for testing the strength of a rubber band

Question 16

Which of the following characteristics would be most typical for concrete sequential students?

Accepted Answer

A)  Look for many different answers to a question
B)  Ask for varying opinions about why something occurred
C)  Look for an answer from an encyclopedia
D)  Debate with a teacher about the answer to a question

Exam 3: The Process of Problem Solving for Children