Question 1

When compared to other countries, the results of the first TIMSS achievement test placed eighth graders in the United States into which category?

Accepted Answer

A)  Lowest.
B)  Below the international average.
C)  Average.
D)  Above the international average.
E)  Highest.

Question 2

Which of the following refers to a "grading scale that allows student responses to be placed into categories"?

Accepted Answer

A)  Categorization.
B)  Standard.
C)  Rubric.
D)  Scale.
E)  Classification.

Question 3

In which year did U.S.students begin to participate in the Program for International Student Assessment (PISA) ?

Accepted Answer

A)  1995.
B)  1999.
C)  2000.
D)  2003.
E)  2007.

Question 4

Some students prefer to solve a given problem by drawing a graph; whereas, other students would rather write an equation or use hands-on materials.Which of the
 following mathematical processes emphasizes the importance of students viewing the
 same problem with multiple approaches?

Accepted Answer

A)  Problem Solving.
B)  Reasoning.
C)  Communication.
D)  Connections.
E)  Representation.

Question 5

Using the skills of reading, listening, and talking through one's thinking to analyze and evaluate mathematical thinking emphasizes which process skill?

Accepted Answer

A)  Problem Solving.
B)  Reasoning and Proof.
C)  Communication.
D)  Connection.
E)  Representation.

Question 6

It has been said that the New Math movement catered primarily to which group of students?

Accepted Answer

A)  All students.
B)  Low-average students.
C)  Average students.
D)  Above-average students.
E)  Average and above-average students.

Question 7

Give an example of a "rich" problem that could be given to a group of students at the
 grade level of your choice.Demonstrate at least three ways of solving the problem using the strategies stated in Chapter 1.

Accepted Answer

Sure! For a group of 4th grade students,...

Question 8

Which classroom strategy generally promotes mathematical communication the LEAST?

Accepted Answer

A)  Journals.
B)  Presentations.
C)  Projects.
D)  Worksheets.
E)  Responses to essay questions.

Question 9

Which of the following is NOT an example of a powerful problem-solving strategy as stated in the text?

Accepted Answer

A)  Act out the problem.
B)  Guess-and-check.
C)  Look for a pattern.
D)  Use a computer app.
E)  Work backwards.

Question 10

Which of the following statements most accurately characterizes the underlying philosophy of the NCTM Principles and Standards for School Mathematics?

Accepted Answer

A)  Mathematics is for all students.
B)  Mathematics is in our curriculum to produce a nation of top-level scientists that can compete on an international scale.
C)  A Standards-based mathematics program should make teaching easier.
D)  Mathematics is more about what students "know" than what they can "do."
E)  Mathematics education depends on students being able to solve problems "by hand", before learning to use technology.

Question 11

Describe three uses for Pascal's triangle and explain why it is important to make these
 types of connections in the mathematics curriculum.

Accepted Answer

Pascal's triangle has several important ...

Question 12

When a student engages in formulating valid arguments for why they believe statements are true in the mathematics classroom, he/she is engaging in which of the following?

Accepted Answer

A)  Mathematical Problem Solving.
B)  Mathematical Deduction.
C)  Mathematical Reasoning.
D)  Mathematical Investigation.
E)  Mathematical Induction.

Question 13

Give an example of a question you could pose to a group of secondary or middle school
 mathematics students and explain why it could be considered a "problem" to some
 students but an "exercise" to others.

Accepted Answer

One example of a question you could pose...

Question 14

The NAEP (National Assessment of Educational Progress) mathematics scores between 2000 and 2017 indicated which of the following?

Accepted Answer

A)  White students scored higher than African American, Hispanic, or Native American students at all tested grade levels.
B)  White students scored higher than African American, Hispanic, or Native American students at Grade 12 but not at Grades 4 and 8.
C)  White students scored higher than African American, Hispanic, or Native American students at Grades 8 and 12 but not at Grade 4.
D)  White students did not score significantly higher than their African American, Hispanic, or Native American peers at any grade level.
E)  Hispanic students outperformed White, African American, and Native American students at Grades 4 and 8.

Question 15

Compare and contrast the overriding mathematics education views of the New Math
 movement, back-to-basics movement, and the current reform efforts, which use the
 Principles and Standards for School Mathematics, and Common Core State Standards for Mathematics as a guide.

Accepted Answer

The New Math movement, which emerged in ...

Question 16

Mathematical problem solving, as emphasized in the NCTM documents and the Common Core State Standards for Mathematics, is used for which of the following?

Accepted Answer

A)  Problem solving allows students to practice skills.
B)  Problem solving helps students to solve future problems.
C)  Problem solving helps students to learn new skills.
D)  Problem solving develops strategies.
E)  All of these.

Question 17

Which of these is NOT considered a Twenty-First Century Skill?

Accepted Answer

A)  Content Knowledge.
B)  Life and Career Skills.
C)  Information, Media, and Technology Skills.
D)  Empirical Knowledge.
E)  Learning and Innovation Skills.

Question 18

The Standards for Mathematical Practice address the use of tools in the classroom. Which of the following would NOT necessarily be considered a tool?

Accepted Answer

A)  Worksheets.
B)  Calculators.
C)  Protractors.
D)  Graphs.
E)  Rulers.

Question 19

A student claims that "dividing by two-thirds is the same thing as multiplying by three-halves." This student is deficient in which of the following Standards for
 Mathematical Practice?

Accepted Answer

A)  Making Sense of Problems.
B)  Attending to Precision.
C)  Modeling.
D)  Using Appropriate Tools.
E)  Constructing a Viable Argument.

Question 20

A generalized result of the Trends in International Mathematics and Science Study between 1995 and 2015 indicated which of the following?

Accepted Answer

A)  Student achievement at fourth and eighth grade showed a marked decline.
B)  Student achievement at fourth and eighth grade showed a slight decline.
C)  Student achievement at fourth and eighth grade remained about the same.
D)  Student achievement at fourth and eighth grade increased overall.
E)  Student achievement at fourth and eighth grade continually placed the U.S.in the top three performing countries.

Exam 1: Mathematics As a Process

Give an example of a question you could pose to a group of secondary or middle school mathematics students and explain why it could be considered a "problem" to some students but an "exercise" to others.

Correct AnswerAnswered by ExamLex AIOne example of a question you could pose...View AnswerShow Answer

Mathematical problem solving, as emphasized in the NCTM documents and the Common Core State Standards for Mathematics, is used for which of the following?

Correct AnswerverifiedShow Answer

Which of these is NOT considered a Twenty-First Century Skill?

Correct AnswerverifiedShow Answer

Which classroom strategy generally promotes mathematical communication the LEAST?

Correct AnswerverifiedShow Answer

Compare and contrast the overriding mathematics education views of the New Math movement, back-to-basics movement, and the current reform efforts, which use the Principles and Standards for School Mathematics, and Common Core State Standards for Mathematics as a guide.

Correct AnswerAnswered by ExamLex AIThe New Math movement, which emerged in ...View AnswerShow Answer

Some students prefer to solve a given problem by drawing a graph; whereas, other students would rather write an equation or use hands-on materials.Which of the following mathematical processes emphasizes the importance of students viewing the same problem with multiple approaches?

Correct AnswerverifiedShow Answer

When a student engages in formulating valid arguments for why they believe statements are true in the mathematics classroom, he/she is engaging in which of the following?

Correct AnswerverifiedShow Answer

The Standards for Mathematical Practice address the use of tools in the classroom. Which of the following would NOT necessarily be considered a tool?

Correct AnswerverifiedShow Answer

In which year did U.S.students begin to participate in the Program for International Student Assessment (PISA) ?

Correct AnswerverifiedShow Answer

It has been said that the New Math movement catered primarily to which group of students?

Correct AnswerverifiedShow Answer

Which of the following is NOT an example of a powerful problem-solving strategy as stated in the text?

Correct AnswerverifiedShow Answer

A generalized result of the Trends in International Mathematics and Science Study between 1995 and 2015 indicated which of the following?

Correct AnswerverifiedShow Answer

Describe three uses for Pascal's triangle and explain why it is important to make these types of connections in the mathematics curriculum.

Correct AnswerAnswered by ExamLex AIPascal's triangle has several important ...View AnswerShow Answer

Give an example of a "rich" problem that could be given to a group of students at the grade level of your choice.Demonstrate at least three ways of solving the problem using the strategies stated in Chapter 1.

Correct AnswerAnswered by ExamLex AISure! For a group of 4th grade students,...View AnswerShow Answer

The NAEP (National Assessment of Educational Progress) mathematics scores between 2000 and 2017 indicated which of the following?

Correct AnswerverifiedShow Answer

Which of the following refers to a "grading scale that allows student responses to be placed into categories"?

Correct AnswerverifiedShow Answer

Which of the following statements most accurately characterizes the underlying philosophy of the NCTM Principles and Standards for School Mathematics?

Correct AnswerverifiedShow Answer

Using the skills of reading, listening, and talking through one's thinking to analyze and evaluate mathematical thinking emphasizes which process skill?

Correct AnswerverifiedShow Answer

A student claims that "dividing by two-thirds is the same thing as multiplying by three-halves." This student is deficient in which of the following Standards for Mathematical Practice?

Correct AnswerverifiedShow Answer

When compared to other countries, the results of the first TIMSS achievement test placed eighth graders in the United States into which category?

Correct AnswerverifiedShow Answer

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One example of a question you could pose...
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The New Math movement, which emerged in ...
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Correct Answer
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Correct Answer
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Pascal's triangle has several important ...
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Sure! For a group of 4th grade students,...
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Correct Answer
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