Math Methods Final UPDATED Exam
Questions and CORRECT Answers
When teaching a lesson on adding decimals in the middle school, which of the following are
considered the "best" tools for a teacher to use? - Correct Answer- It depends on the situation
If students use graph paper to explore decimals and a 10 x 10 grid represents 1, then what
would a single square represent? - Correct Answer- .01
If a teacher has the class use metric measurements to explore decimals with a decimeter
representing a unit, then how would 6.93 be represented? - Correct Answer- 6 decimeters, 9
centimeters, and 3 millimeters
Which of the following is NOT associated with Pedagogical Content Knowledge? - Correct
Answer- Access to appropriate teaching tools
What is the purpose of "free play" with manipulatives? - Correct Answer- To have students
explore and experiment
What is the main reason that specific rules for the use of manipulatives should be
established? - Correct Answer- Students are tempted to exhibit off-task behavior
Which of the following if NOT one of the Tips on Manipulative Use that is mentioned in the
text? - Correct Answer- Keep in mind that students "inherently" learn when they use
manipulatives, so materials should be a regular part of the classroom
When assisting students with simple mental arithmetic such as 6 x 13, a teacher can lead the
students into thinking of the problem as 6(10+3) and adding 60+80. Which property is being
reviewed? - Correct Answer- The Distributive Property
What is important for a teacher to do to make mathematics teaching tools become
worthwhile? - Correct Answer- Effectively generate classroom discussion or discourse
, Bulletin boards are recommended for what purpose? - Correct Answer- Utilitarian,
showcasing students work, publishing a "problem of the week", and promoting understanding
through interactive problems
What should be the order in distribution materials for use in hands-on activities? - Correct
Answer- Give directions, then hand out the materials
The exchange of ideas in the mathematics classroom is referred to in Mathematics Teaching
Today as which of the following? - Correct Answer- Discourse
What does it mean if a question is considered "closed"? - Correct Answer- The question has
only one expected and correct response
What does it mean if a question is considered "open-ended"? - Correct Answer- There is not
always necessarily one, correct answer
Which of the following questions is likely to help students reason mathematically? - Correct
Answer- What do others think about what John said?
Which of the following is an example of a poorly worded question? - Correct Answer- "Does
everyone understand the homework now?"
In a cooperative learning environment, the work is done as a team, but in the end, each
student is required to demonstrate an understanding of the concepts through an interview, a
written test, or some other means. What term describes this concept? - Correct Answer-
Individual accountability
Which of the following refers to the ability to look back on a lesson or teaching episode and
analyze it from every angle, thinking about what worked and what didn't? - Correct Answer-
Reflection
Which of the following is a typical memory of most people when they think of the study of
algebra? - Correct Answer- Factoring trinomials
Which of the following is a typical memory of most people when they think of the study of
geometry? - Correct Answer- Writing two-column proofs
Questions and CORRECT Answers
When teaching a lesson on adding decimals in the middle school, which of the following are
considered the "best" tools for a teacher to use? - Correct Answer- It depends on the situation
If students use graph paper to explore decimals and a 10 x 10 grid represents 1, then what
would a single square represent? - Correct Answer- .01
If a teacher has the class use metric measurements to explore decimals with a decimeter
representing a unit, then how would 6.93 be represented? - Correct Answer- 6 decimeters, 9
centimeters, and 3 millimeters
Which of the following is NOT associated with Pedagogical Content Knowledge? - Correct
Answer- Access to appropriate teaching tools
What is the purpose of "free play" with manipulatives? - Correct Answer- To have students
explore and experiment
What is the main reason that specific rules for the use of manipulatives should be
established? - Correct Answer- Students are tempted to exhibit off-task behavior
Which of the following if NOT one of the Tips on Manipulative Use that is mentioned in the
text? - Correct Answer- Keep in mind that students "inherently" learn when they use
manipulatives, so materials should be a regular part of the classroom
When assisting students with simple mental arithmetic such as 6 x 13, a teacher can lead the
students into thinking of the problem as 6(10+3) and adding 60+80. Which property is being
reviewed? - Correct Answer- The Distributive Property
What is important for a teacher to do to make mathematics teaching tools become
worthwhile? - Correct Answer- Effectively generate classroom discussion or discourse
, Bulletin boards are recommended for what purpose? - Correct Answer- Utilitarian,
showcasing students work, publishing a "problem of the week", and promoting understanding
through interactive problems
What should be the order in distribution materials for use in hands-on activities? - Correct
Answer- Give directions, then hand out the materials
The exchange of ideas in the mathematics classroom is referred to in Mathematics Teaching
Today as which of the following? - Correct Answer- Discourse
What does it mean if a question is considered "closed"? - Correct Answer- The question has
only one expected and correct response
What does it mean if a question is considered "open-ended"? - Correct Answer- There is not
always necessarily one, correct answer
Which of the following questions is likely to help students reason mathematically? - Correct
Answer- What do others think about what John said?
Which of the following is an example of a poorly worded question? - Correct Answer- "Does
everyone understand the homework now?"
In a cooperative learning environment, the work is done as a team, but in the end, each
student is required to demonstrate an understanding of the concepts through an interview, a
written test, or some other means. What term describes this concept? - Correct Answer-
Individual accountability
Which of the following refers to the ability to look back on a lesson or teaching episode and
analyze it from every angle, thinking about what worked and what didn't? - Correct Answer-
Reflection
Which of the following is a typical memory of most people when they think of the study of
algebra? - Correct Answer- Factoring trinomials
Which of the following is a typical memory of most people when they think of the study of
geometry? - Correct Answer- Writing two-column proofs
