Question 1

The two main topics covered in New Math that were previously only explored at the college level, as discussed in the text, are which of these?

Accepted Answer

A) Discrete mathematics and set theory. 
B) Non-Euclidean geometry and probability. 
C) Non-Euclidean geometry and set theory. 
D) Probability and set theory. 
E) Discrete mathematics and non-Euclidean geometry. 
A) Discrete mathematics and set theory. 
B) Non-Euclidean geometry and probability. 
C) Non-Euclidean geometry and set theory. 
D) Probability and set theory. 
E) Discrete mathematics and non-Euclidean geometry.

Question 2

A teacher who emphasizes mathematical reasoning is likely to most frequently use which of the following questions?

Accepted Answer

A) Why? 
B) When? 
C) Where? 
D) Who? 
E) Which? 
A) Why? 
B) When? 
C) Where? 
D) Who? 
E) Which?

Question 3

In his book, George Polya describes problem solving as a four-step process.Which of the following is NOT one of his steps?

Accepted Answer

A) Understand the problem. 
B) Make a reasonable estimate of the answer to the problem. 
C) Devise a plan to find a solution. 
D) Implement the plan. 
E) Make sure the answer makes sense and determine if another plan would be more effective. 
A) Understand the problem. 
B) Make a reasonable estimate of the answer to the problem. 
C) Devise a plan to find a solution. 
D) Implement the plan. 
E) Make sure the answer makes sense and determine if another plan would be more effective.

Question 4

The connections Standard stresses which of the following processes?

Accepted Answer

A) Connecting among different mathematical ideas and connecting mathematics to other subject areas. 
B) Connecting with peers to determine a "strategy" and connecting among different mathematical ideas. 
C) Connecting with the teacher to determine a "goal" and connecting mathematics to other subject areas. 
D) Connecting with the teacher to determine a "goal" and connecting among different mathematical ideas. 
E) Connecting with the teacher to determine a "goal" and connecting with peers to determine a "strategy". 
A) Connecting among different mathematical ideas and connecting mathematics to other subject areas. 
B) Connecting with peers to determine a "strategy" and connecting among different mathematical ideas. 
C) Connecting with the teacher to determine a "goal" and connecting mathematics to other subject areas. 
D) Connecting with the teacher to determine a "goal" and connecting among different mathematical ideas. 
E) Connecting with the teacher to determine a "goal" and connecting with peers to determine a "strategy".

Question 5

When presenting the class with a problem to solve, which of the following are teachers NOT advised to do?

Accepted Answer

A) Solve the problem individually or in small groups. 
B) Share solutions. 
C) Share strategies. 
D) Ensure that the whole class can implement the same strategy. 
E) Explore other strategies that might help in solving future problems. 
A) Solve the problem individually or in small groups. 
B) Share solutions. 
C) Share strategies. 
D) Ensure that the whole class can implement the same strategy. 
E) Explore other strategies that might help in solving future problems.

Question 6

If Mrs.Voltz has students write in their journals weekly, then the act of writing to explain their thinking in their journals emphasizes which process skill?

Accepted Answer

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

Question 7

Viewing mathematics as "a coherent whole" refers most closely to which of the following?

Accepted Answer

A) Problem Solving. 
B) Reasoning. 
C) Constructing Viable Arguments. 
D) Connections. 
E) Modeling. 
A) Problem Solving. 
B) Reasoning. 
C) Constructing Viable Arguments. 
D) Connections. 
E) Modeling.

Question 8

The reform efforts that began in the 1980s in mathematics suggested, through An Agenda for Action, that the focal point of the curriculum should be which of the following?

Accepted Answer

A) Problem solving. 
B) Measurement. 
C) Number skills. 
D) Use of technology. 
E) Symbol manipulation. 
A) Problem solving. 
B) Measurement. 
C) Number skills. 
D) Use of technology. 
E) Symbol manipulation.

Question 9

Problem solving, as envisioned in Principles and Standards for School Mathematics and the Common Core State Standards for Mathematics, is most accurately described
 by which of the following?

Accepted Answer

A) Problem solving should provide meaningful experiences that develop "strategies" that can be used to solve other problems. 
B) Problem solving should be routine for primary and middle grades, with an emphasis on developing "strategies" in the high school grades. 
C) Problem solving should be routine for primary grades, with an emphasis on developing "strategies" in the middle and high school grades. 
D) The primary emphasis of problem solving should be to provide experiences with word ("story")problems at all grade levels. 
E) Problem solving should be approached by assigning word problems at the end of each chapter or unit. 
A) Problem solving should provide meaningful experiences that develop "strategies" that can be used to solve other problems. 
B) Problem solving should be routine for primary and middle grades, with an emphasis on developing "strategies" in the high school grades. 
C) Problem solving should be routine for primary grades, with an emphasis on developing "strategies" in the middle and high school grades. 
D) The primary emphasis of problem solving should be to provide experiences with word ("story")problems at all grade levels. 
E) Problem solving should be approached by assigning word problems at the end of each chapter or unit.

Question 10

Which of the following words describes the use of "tools" in the mathematics classroom?

Accepted Answer

A) Required. 
B) Technological. 
C) Appropriate. 
D) Daily. 
E) Optional. 
A) Required. 
B) Technological. 
C) Appropriate. 
D) Daily. 
E) Optional.

Question 11

Consider the following: Solve for x when .This equation is an example of which of the following?

Accepted Answer

A) An exercise because it has a definite way to get the answer. 
B) An exercise because it does not have just one way to get the answer. 
C) A problem because it has a definite way to get the answer. 
D) A problem because it does not have just one way to get the answer. 
E) Either a problem or an exercise depending on the background of the student. 
A) An exercise because it has a definite way to get the answer. 
B) An exercise because it does not have just one way to get the answer. 
C) A problem because it has a definite way to get the answer. 
D) A problem because it does not have just one way to get the answer. 
E) Either a problem or an exercise depending on the background of the student.

Question 12

In which year were the Common Core State Standards for Mathematics released?

Accepted Answer

A) 1997. 
B) 2000. 
C) 2005. 
D) 2008. 
E) 2010. 
A) 1997. 
B) 2000. 
C) 2005. 
D) 2008. 
E) 2010.

Question 13

The first TIMSS report primarily studied which three grade levels?

Accepted Answer

A) 4th, 8th, and l0th. 
B) 4th, 8th, and 11th. 
C) 4th, 8th, and 12th. 
D) 5th, 8th, and 11th. 
E) 5th, 8th, and 12th. 
A) 4th, 8th, and l0th. 
B) 4th, 8th, and 11th. 
C) 4th, 8th, and 12th. 
D) 5th, 8th, and 11th. 
E) 5th, 8th, and 12th.

Question 14

Pick two of the eight mathematical practices from the Common Core State Standards for
 Mathematics and describe their importance in the secondary or middle school
 mathematics curriculum.

Accepted Answer

Two important mathematical practices fro

Question 15

Which of the following sparked the mathematics reform movement known as the New Math?

Accepted Answer

A) Assassination of John F.Kennedy. 
B) Increased communication through media. 
C) Launching of Sputnik satellites. 
D) Decreased student accomplishment. 
E) Excess in National Science Foundation money. 
A) Assassination of John F.Kennedy. 
B) Increased communication through media. 
C) Launching of Sputnik satellites. 
D) Decreased student accomplishment. 
E) Excess in National Science Foundation money.

Question 16

Which of the following was NOT a reason why the New Math reform movement proposed a change in the topics studied in the mathematics curriculum?

Accepted Answer

A) The content of the courses hadn't changed in hundreds of years. 
B) There was a need for mathematicians and scientists to compete on a global level. 
C) There was a desire to introduce additional topics to "all students". 
D) The topics in the curriculum were sequenced in an undesirable manner. 
E) There was a fear that the U.S.was falling behind the rest of the world. 
A) The content of the courses hadn't changed in hundreds of years. 
B) There was a need for mathematicians and scientists to compete on a global level. 
C) There was a desire to introduce additional topics to "all students". 
D) The topics in the curriculum were sequenced in an undesirable manner. 
E) There was a fear that the U.S.was falling behind the rest of the world.

Question 17

An effective mathematics problem may have which of the following characteristics?

Accepted Answer

A) The problem does not have an obvious solution. 
B) The problem lends itself to several different strategies to solve it. 
C) Students can relate the new problem to previously solved problems. 
D) The problem invites students to compare solutions and approaches. 
E) All of these. 
A) The problem does not have an obvious solution. 
B) The problem lends itself to several different strategies to solve it. 
C) Students can relate the new problem to previously solved problems. 
D) The problem invites students to compare solutions and approaches. 
E) All of these.

Question 18

Which of the following might be considered the most accurate description of what it means to "do," to "teach," and to "learn" mathematics?

Accepted Answer

A) Mathematics is all about memorizing rules and procedures. 
B) Mathematics primarily involves students learning to manipulate symbols, such as numbers and variables. 
C) Mathematics is a process with very little content to be learned. 
D) Mathematics is a verb - something that one does - as well as a large body of content to be learned. 
E) Mathematics only exists inasmuch as it connects to other subjects, such as biology or social studies. 
A) Mathematics is all about memorizing rules and procedures. 
B) Mathematics primarily involves students learning to manipulate symbols, such as numbers and variables. 
C) Mathematics is a process with very little content to be learned. 
D) Mathematics is a verb - something that one does - as well as a large body of content to be learned. 
E) Mathematics only exists inasmuch as it connects to other subjects, such as biology or social studies.

The two main topics covered in New Math that were previously only explored at the college level, as discussed in the text, are which of these?

A teacher who emphasizes mathematical reasoning is likely to most frequently use which of the following questions?

In his book, George Polya describes problem solving as a four-step process.Which of the following is NOT one of his steps?

The connections Standard stresses which of the following processes?

When presenting the class with a problem to solve, which of the following are teachers NOT advised to do?

If Mrs.Voltz has students write in their journals weekly, then the act of writing to explain their thinking in their journals emphasizes which process skill?

Viewing mathematics as "a coherent whole" refers most closely to which of the following?

The reform efforts that began in the 1980s in mathematics suggested, through An Agenda for Action, that the focal point of the curriculum should be which of the following?

Problem solving, as envisioned in Principles and Standards for School Mathematics and the Common Core State Standards for Mathematics, is most accurately described by which of the following?

Which of the following words describes the use of "tools" in the mathematics classroom?

Consider the following: Solve for x when .This equation is an example of which of the following?

In which year were the Common Core State Standards for Mathematics released?

The first TIMSS report primarily studied which three grade levels?

Pick two of the eight mathematical practices from the Common Core State Standards for Mathematics and describe their importance in the secondary or middle school mathematics curriculum.

Which of the following sparked the mathematics reform movement known as the New Math?

Which of the following was NOT a reason why the New Math reform movement proposed a change in the topics studied in the mathematics curriculum?

An effective mathematics problem may have which of the following characteristics?

Which of the following might be considered the most accurate description of what it means to "do," to "teach," and to "learn" mathematics?

Principles of Mathematics Education

Learning Theories and Psychology in Mathematics Education

Standards, Objectives, and Resources

Planning for Instruct

Assessment: Purposes and Strategies

Principles of Assessment Practices

Teaching and Learning

Teaching and Learning: Tools and Technology

Teaching Number Sense and Algebra

Teaching Geometry, Statisticsprobability, and Discrete Mathematics

Managing a Mathematics Classroom

The Teacher of Mathematics in the School Community

Filters

Exam 1: Mathematics As a Process

The two main topics covered in New Math that were previously only explored at the college level, as discussed in the text, are which of these?

A teacher who emphasizes mathematical reasoning is likely to most frequently use which of the following questions?

In his book, George Polya describes problem solving as a four-step process.Which of the following is NOT one of his steps?

The connections Standard stresses which of the following processes?

When presenting the class with a problem to solve, which of the following are teachers NOT advised to do?

If Mrs.Voltz has students write in their journals weekly, then the act of writing to explain their thinking in their journals emphasizes which process skill?

Viewing mathematics as "a coherent whole" refers most closely to which of the following?

The reform efforts that began in the 1980s in mathematics suggested, through An Agenda for Action, that the focal point of the curriculum should be which of the following?

Problem solving, as envisioned in Principles and Standards for School Mathematics and the Common Core State Standards for Mathematics, is most accurately described by which of the following?

Which of the following words describes the use of "tools" in the mathematics classroom?

Consider the following: Solve for x when .This equation is an example of which of the following?

In which year were the Common Core State Standards for Mathematics released?

The first TIMSS report primarily studied which three grade levels?

Pick two of the eight mathematical practices from the Common Core State Standards for Mathematics and describe their importance in the secondary or middle school mathematics curriculum.

Which of the following sparked the mathematics reform movement known as the New Math?

Which of the following was NOT a reason why the New Math reform movement proposed a change in the topics studied in the mathematics curriculum?

An effective mathematics problem may have which of the following characteristics?

Which of the following might be considered the most accurate description of what it means to "do," to "teach," and to "learn" mathematics?

Principles of Mathematics Education

Learning Theories and Psychology in Mathematics Education

Standards, Objectives, and Resources

Planning for Instruct

Assessment: Purposes and Strategies

Principles of Assessment Practices

Teaching and Learning

Teaching and Learning: Tools and Technology

Teaching Number Sense and Algebra

Teaching Geometry, Statisticsprobability, and Discrete Mathematics

Managing a Mathematics Classroom

The Teacher of Mathematics in the School Community

Filters