Question 1

Which of the following most accurately describes discrete mathematics in theCommon Core State Standards for Mathematics?

Accepted Answer

A) There are no discrete mathematics topics in the CCSSM. 
B) There is a discrete mathematics conceptual category for the CCSSM. 
C) There is no conceptual category but are several domains devoted to discretemathematics in the CCSSM. 
D) Discrete mathematics is a major emphasis throughout the CCSSM. 
E) There are discrete mathematics topics included in the CCSSM but not asconceptual categories or domains. 
A) There are no discrete mathematics topics in the CCSSM. 
B) There is a discrete mathematics conceptual category for the CCSSM. 
C) There is no conceptual category but are several domains devoted to discretemathematics in the CCSSM. 
D) Discrete mathematics is a major emphasis throughout the CCSSM. 
E) There are discrete mathematics topics included in the CCSSM but not asconceptual categories or domains. E

Question 2

Which of the following is most often associated with the study of discretemathematics?

Accepted Answer

A) Deriving a formula. 
B) Recognizing a pattern. 
C) Constructing a proof. 
D) Establishing an algorithm. 
E) Using a calculator. 
A) Deriving a formula. 
B) Recognizing a pattern. 
C) Constructing a proof. 
D) Establishing an algorithm. 
E) Using a calculator. D

Question 3

Which of the following is an important experience for students as they explore thestatistics content strand, as pointed out by the author in Chapter 11?

Accepted Answer

A) Students should debate which type of graph should represent a given situation. 
B) Students should be able to accurately draw circle graphs with a compass. 
C) Students should discuss data presented in recent newspapers. 
D) Students should be able to calculate a mean and a median. 
E) Students should draw histograms on their graphing calculators. 
A) Students should debate which type of graph should represent a given situation. 
B) Students should be able to accurately draw circle graphs with a compass. 
C) Students should discuss data presented in recent newspapers. 
D) Students should be able to calculate a mean and a median. 
E) Students should draw histograms on their graphing calculators. A

Question 4

Which of the following is a paradox of Koch's Snowflake?

Accepted Answer

A) The successive stages can be imagined but never seen. 
B) A computer can generate images, but they cannot be drawn by hand. 
C) The perimeter is infinite, but the area is bounded. 
D) The seed is complex, but the fractal is simple. 
E) The volume is bounded, but the area is infinite. 
A) The successive stages can be imagined but never seen. 
B) A computer can generate images, but they cannot be drawn by hand. 
C) The perimeter is infinite, but the area is bounded. 
D) The seed is complex, but the fractal is simple. 
E) The volume is bounded, but the area is infinite.

Question 5

Why are problems drawn from the area of discrete mathematics often motivating tostudents in a mathematics class?

Accepted Answer

A) The problems tend to be easier for most students. 
B) The problems require the use of technology. 
C) The problems are shorter and can be solved more quickly than most. 
D) The problems generally do not have a correct answer. 
E) The problems tend to be applied to the real world. 
A) The problems tend to be easier for most students. 
B) The problems require the use of technology. 
C) The problems are shorter and can be solved more quickly than most. 
D) The problems generally do not have a correct answer. 
E) The problems tend to be applied to the real world.

Question 6

The exploration of geometry by using coordinates is referred to as which of thefollowing?

Accepted Answer

A) Integrated. 
B) Analytic. 
C) Transformational. 
D) Synthetic. 
E) Dimensional. 
A) Integrated. 
B) Analytic. 
C) Transformational. 
D) Synthetic. 
E) Dimensional.

Question 7

What are the three major components that should be included in the study ofstatistics?

Accepted Answer

A) Collecting, displaying, and discussing data. 
B) Displaying, making decisions, and predicting from data. 
C) Analyzing, predicting, and discussing data.structor use only. 
D) Collecting, displaying, and drawing conclusions from data. 
E) Collecting, making decisions, and predicting from data. 
A) Collecting, displaying, and discussing data. 
B) Displaying, making decisions, and predicting from data. 
C) Analyzing, predicting, and discussing data.structor use only. 
D) Collecting, displaying, and drawing conclusions from data. 
E) Collecting, making decisions, and predicting from data.

Question 8

Which of the following is NOT considered an essential area of focus of geometryaccording to NCTM's Catalyzing Change document?

Accepted Answer

A) Measurement. 
B) Trigonometry. 
C) Transformations. 
D) Geometric models to solve problems. 
E) Proof. 
A) Measurement. 
B) Trigonometry. 
C) Transformations. 
D) Geometric models to solve problems. 
E) Proof.

Question 9

Which of the following represents the change in the number of high school studentsenrolling in AP Calculus between 1982 and 2013?

Accepted Answer

A) The number of students declined by one-half. 
B) The number of students remained about the same. 
C) The number of students increased by 50%. 
D) The number of students almost doubled. 
E) The number of students increased more than five-fold. 
A) The number of students declined by one-half. 
B) The number of students remained about the same. 
C) The number of students increased by 50%. 
D) The number of students almost doubled. 
E) The number of students increased more than five-fold.

Question 10

Which of the following represents a list of functions emphasized on the CollegeBoard's CLEP test?

Accepted Answer

A) Linear. 
B) Absolute value. 
C) Square root. 
D) Logarithmic. 
E) All of these. 
A) Linear. 
B) Absolute value. 
C) Square root. 
D) Logarithmic. 
E) All of these.

Question 11

Which of the following represents a definition of "statistics," as determined by aconference on the teaching of statistics?

Accepted Answer

A) Statistics is the study of information.or instructor use only. 
B) Statistics is the science of prediction. 
C) Statistics is the process of analysis. 
D) Statistics is the study of graphs and trends. 
E) Statistics is the science of learning from dat 
A) Statistics is the study of information.or instructor use only. 
B) Statistics is the science of prediction. 
C) Statistics is the process of analysis. 
D) Statistics is the study of graphs and trends. 
E) Statistics is the science of learning from dat

Question 12

Which of the following is NOT one of the high school domains in the Common CoreState Standards for Mathematics that deals with statistics and probability?

Accepted Answer

A) Conditional probability and the rules of probability. 
B) Experimental and mathematical probabilities as models. 
C) Interpreting categorical and quantitative data. 
D) Using probability to make decisions. 
E) Making inferences and justifying conclusions. 
A) Conditional probability and the rules of probability. 
B) Experimental and mathematical probabilities as models. 
C) Interpreting categorical and quantitative data. 
D) Using probability to make decisions. 
E) Making inferences and justifying conclusions.

Question 13

According to the MAA, approximately what percentage of students entering a four-year college have Calculus listed on their transcripts?

Accepted Answer

A) 10%. 
B) 25%. 
C) 50%. 
D) 75%. 
E) 90%. 
A) 10%. 
B) 25%. 
C) 50%. 
D) 75%. 
E) 90%.

Question 14

The research of the van Hieles has suggested which of the following in the teachingand learning of geometry?

Accepted Answer

A) Technology has a significant impact on the teaching of geometry. 
B) Manipulatives should be used in all lessons when teaching geometry. 
C) Students have different developmental needs when learning geometry. 
D) Students should experience higher levels of proof than are currently beingaddressed in learning geometry. 
E) Textbooks have little impact on the achievement of students in geometry. 
A) Technology has a significant impact on the teaching of geometry. 
B) Manipulatives should be used in all lessons when teaching geometry. 
C) Students have different developmental needs when learning geometry. 
D) Students should experience higher levels of proof than are currently beingaddressed in learning geometry. 
E) Textbooks have little impact on the achievement of students in geometry.

Question 15

The Common Core State Standards for Mathematics calls for the use of technology todo which of the following in the study of probability?

Accepted Answer

A) To explore and to calculate. 
B) To graph and to run simulations. 
C) To generate sample spaces and to run simulations. 
D) To explore and to graph. 
E) To calculate and to run simulations. 
A) To explore and to calculate. 
B) To graph and to run simulations. 
C) To generate sample spaces and to run simulations. 
D) To explore and to graph. 
E) To calculate and to run simulations.

Question 16

Which of the following has significantly influenced the collection and analysis of datain society in the recent past?

Accepted Answer

A) Increased accountability. 
B) Enhanced technology. 
C) Educated public. 
D) Increase in mathematics courses taken by college students. 
E) Demographic changes. 
A) Increased accountability. 
B) Enhanced technology. 
C) Educated public. 
D) Increase in mathematics courses taken by college students. 
E) Demographic changes.

Question 17

Determining the path that a snowplow should follow to clear all of the roads, whileminimizing how many roads have to be traversed twice, is typical of which type ofdiscrete mathematics problem?

Accepted Answer

A) Matrices. 
B) Recursion. 
C) Graph Theory. 
D) Combinatorics. 
E) Social Choice. 
A) Matrices. 
B) Recursion. 
C) Graph Theory. 
D) Combinatorics. 
E) Social Choice.

Question 18

Which of the following topics, commonly studied in the middle grades, lends itself toa geometric representation?

Accepted Answer

A) Percents. 
B) Fractions. 
C) Decimals. 
D) Ratios. 
E) All of these. 
A) Percents. 
B) Fractions. 
C) Decimals. 
D) Ratios. 
E) All of these.

Question 19

Within the context of a geometry problem, which other mathematical strands can bereadily connected when studying a fractal image such as Koch's Snowflake?

Accepted Answer

A) Number and data analysis. 
B) Algebra and probability. 
C) Discrete mathematics and number. 
D) Measurement and algebr 
A) Number and data analysis. 
B) Algebra and probability. 
C) Discrete mathematics and number. 
D) Measurement and algebr

Question 20

The sample lesson in Chapter 11 in which students take a phony True-False quiz leadsthem to the exploration of which concept?

Accepted Answer

A) Determining the probability of an event. 
B) Constructing a line graph. 
C) Finding measures of central tendency. 
D) Reading a bar graph. 
E) Generating truth tables. 
A) Determining the probability of an event. 
B) Constructing a line graph. 
C) Finding measures of central tendency. 
D) Reading a bar graph. 
E) Generating truth tables.

Which of the following most accurately describes discrete mathematics in theCommon Core State Standards for Mathematics?

Which of the following is most often associated with the study of discretemathematics?

Which of the following is an important experience for students as they explore thestatistics content strand, as pointed out by the author in Chapter 11?

Which of the following is a paradox of Koch's Snowflake?

Why are problems drawn from the area of discrete mathematics often motivating tostudents in a mathematics class?

The exploration of geometry by using coordinates is referred to as which of thefollowing?

What are the three major components that should be included in the study ofstatistics?

Which of the following is NOT considered an essential area of focus of geometryaccording to NCTM's Catalyzing Change document?

Which of the following represents the change in the number of high school studentsenrolling in AP Calculus between 1982 and 2013?

Which of the following represents a list of functions emphasized on the CollegeBoard's CLEP test?

Which of the following represents a definition of "statistics," as determined by aconference on the teaching of statistics?

Which of the following is NOT one of the high school domains in the Common CoreState Standards for Mathematics that deals with statistics and probability?

According to the MAA, approximately what percentage of students entering a four-year college have Calculus listed on their transcripts?

The research of the van Hieles has suggested which of the following in the teachingand learning of geometry?

The Common Core State Standards for Mathematics calls for the use of technology todo which of the following in the study of probability?

Which of the following has significantly influenced the collection and analysis of datain society in the recent past?

Determining the path that a snowplow should follow to clear all of the roads, whileminimizing how many roads have to be traversed twice, is typical of which type ofdiscrete mathematics problem?

Which of the following topics, commonly studied in the middle grades, lends itself toa geometric representation?

Within the context of a geometry problem, which other mathematical strands can bereadily connected when studying a fractal image such as Koch's Snowflake?

The sample lesson in Chapter 11 in which students take a phony True-False quiz leadsthem to the exploration of which concept?

Mathematics As a Process

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

Managing a Mathematics Classroom

The Teacher of Mathematics in the School Community

Filters

Exam 11: Teaching Geometry, Statisticsprobability, and Discrete Mathematics

Which of the following most accurately describes discrete mathematics in theCommon Core State Standards for Mathematics?

Which of the following is most often associated with the study of discretemathematics?

Which of the following is an important experience for students as they explore thestatistics content strand, as pointed out by the author in Chapter 11?

Which of the following is a paradox of Koch's Snowflake?

Why are problems drawn from the area of discrete mathematics often motivating tostudents in a mathematics class?

The exploration of geometry by using coordinates is referred to as which of thefollowing?

What are the three major components that should be included in the study ofstatistics?

Which of the following is NOT considered an essential area of focus of geometryaccording to NCTM's Catalyzing Change document?

Which of the following represents the change in the number of high school studentsenrolling in AP Calculus between 1982 and 2013?

Which of the following represents a list of functions emphasized on the CollegeBoard's CLEP test?

Which of the following represents a definition of "statistics," as determined by aconference on the teaching of statistics?

Which of the following is NOT one of the high school domains in the Common CoreState Standards for Mathematics that deals with statistics and probability?

According to the MAA, approximately what percentage of students entering a four-year college have Calculus listed on their transcripts?

The research of the van Hieles has suggested which of the following in the teachingand learning of geometry?

The Common Core State Standards for Mathematics calls for the use of technology todo which of the following in the study of probability?

Which of the following has significantly influenced the collection and analysis of datain society in the recent past?

Determining the path that a snowplow should follow to clear all of the roads, whileminimizing how many roads have to be traversed twice, is typical of which type ofdiscrete mathematics problem?

Which of the following topics, commonly studied in the middle grades, lends itself toa geometric representation?

Within the context of a geometry problem, which other mathematical strands can bereadily connected when studying a fractal image such as Koch's Snowflake?

The sample lesson in Chapter 11 in which students take a phony True-False quiz leadsthem to the exploration of which concept?

Mathematics As a Process

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

Managing a Mathematics Classroom

The Teacher of Mathematics in the School Community

Filters