Math Methods Chapter Three
1) Which statement best reflects the approach of teaching for problem solving?
A) It is the method rarely used in traditional textbooks.
B) It usually involves students exploring alternative methods of solving a story problem.
C) It frequently results in the instructor explaining a skill and providing practice and
application of the skill.
D) The approach has traditionally been a very effective way to help students gain
conceptual understanding. - ANS C) It frequently results in the instructor explaining a
skill and providing practice and application of the skill.
\2) Which statement about the teaching through problem solving approach is most
accurate?
A) Requires a four-step approach to problem solving.
B) Rarely requires students to use alternative methods for problem solving.
C) Can only be used with certain problem solving tasks.
D) It is closely associated with teaching for problem solving. - ANS A) Requires a
four-step approach to problem solving.
\3) Selecting problem solving tasks that require higher levels of cognitive demand should
include which one of the following?
A) Use of a specific procedure.
B) Are routine and students can use previously learned procedure.
C) Use of complex and non-algorithmic thinking.
D) Are straightforward with little ambiguity of what needs to be done to solve. - ANS C)
Use of complex and non-algorithmic thinking.
\4) Problem solving tasks that have multiple entry and exit points exhibit what
characteristics below?
A) Are focused on producing correct answers.
B) Varying degrees of challenge and methods to approach a solution.
C) Are best done independently to address diverse learning styles.
D) Varying levels of written explanation are required. - ANS B) Varying degrees of
challenge and methods to approach a solution.
\5) Children's literature can be a method of creating tasks with context students can
connect to other subjects. What statement below demonstrates how a teacher made a
connection?
A) Today we are going to learn about doubling numbers.
B) Today we are going to compute using doubles.
C) Today we are going to solve problems with numbers that double.
D) Today we are going to find out how numbers double with a Chinese magical pot. - ANS
D) Today we are going to find out how numbers double with a Chinese magical pot.
\6) Which is the most accurate statement regarding posing a worthwhile problem?
A) Teachers should select the problems that will help make relationships between
mathematical concepts explicit for students.
1) Which statement best reflects the approach of teaching for problem solving?
A) It is the method rarely used in traditional textbooks.
B) It usually involves students exploring alternative methods of solving a story problem.
C) It frequently results in the instructor explaining a skill and providing practice and
application of the skill.
D) The approach has traditionally been a very effective way to help students gain
conceptual understanding. - ANS C) It frequently results in the instructor explaining a
skill and providing practice and application of the skill.
\2) Which statement about the teaching through problem solving approach is most
accurate?
A) Requires a four-step approach to problem solving.
B) Rarely requires students to use alternative methods for problem solving.
C) Can only be used with certain problem solving tasks.
D) It is closely associated with teaching for problem solving. - ANS A) Requires a
four-step approach to problem solving.
\3) Selecting problem solving tasks that require higher levels of cognitive demand should
include which one of the following?
A) Use of a specific procedure.
B) Are routine and students can use previously learned procedure.
C) Use of complex and non-algorithmic thinking.
D) Are straightforward with little ambiguity of what needs to be done to solve. - ANS C)
Use of complex and non-algorithmic thinking.
\4) Problem solving tasks that have multiple entry and exit points exhibit what
characteristics below?
A) Are focused on producing correct answers.
B) Varying degrees of challenge and methods to approach a solution.
C) Are best done independently to address diverse learning styles.
D) Varying levels of written explanation are required. - ANS B) Varying degrees of
challenge and methods to approach a solution.
\5) Children's literature can be a method of creating tasks with context students can
connect to other subjects. What statement below demonstrates how a teacher made a
connection?
A) Today we are going to learn about doubling numbers.
B) Today we are going to compute using doubles.
C) Today we are going to solve problems with numbers that double.
D) Today we are going to find out how numbers double with a Chinese magical pot. - ANS
D) Today we are going to find out how numbers double with a Chinese magical pot.
\6) Which is the most accurate statement regarding posing a worthwhile problem?
A) Teachers should select the problems that will help make relationships between
mathematical concepts explicit for students.
