Question 1

By how much did undergraduate course taking in statistics increase in the decadebetween 1990 and 2000?

Accepted Answer

Undergraduate course taking in statistics saw a 45% increase in the decade between 1990 and 2000.

Question 2

Which statement most accurately compares the NCTM to the Common Core StateStandards for Mathematics with regard to the teaching of statistics and probability?

Accepted Answer

The answer of Which statement most accurately compares the NCTM...

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

The answer of Which of the following is an important...

Question 4

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

Accepted Answer

The three major components in the study of statistics are collecting data (gathering information), displaying data (organizing and summarizing the information in a meaningful way), and drawing conclusions from data (making inferences or decisions based on the data analysis).

Question 5

Which of the following represents the advice given by the American StatisticalAssociation for students who are exploring probability?

Accepted Answer

The American Statistical Association advises that students should engage with both physical and technological simulations to gain a comprehensive understanding of probabilistic situations. This approach ensures a well-rounded experience in learning probability.

Question 6

Which of the following practices for the teaching of probability is supported byresearch as an effective way to develop student thinking?

Accepted Answer

The answer of Which of the following practices for the...

Question 7

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

The Common Core State Standards for Mathematics include domains for high school statistics and probability, but "Experimental and mathematical probabilities as models" is not listed among them. The domains actually included are: "Interpreting Categorical and Quantitative Data," "Making Inferences and Justifying Conclusions," "Conditional Probability and the Rules of Probability," and "Using Probability to Make Decisions."

Question 8

The authors of the Common Core State Standards for Mathematics note that data doesnot always send a clear message due to which of the following?

Accepted Answer

Variability in data can lead to different interpretations and conclusions, making it difficult to send a clear message.

Question 9

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

The answer of The Common Core State Standards for Mathematics...

Question 10

Which of the following connects the LEAST to the study of probability?

Accepted Answer

The answer of Which of the following connects the LEAST...

Question 11

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

Accepted Answer

The phony True-False quiz is designed to help students explore the concept of determining the probability of an event, as it involves understanding the likelihood of getting certain results by chance.

Question 12

Which of the following is NOT considered an area of the study of discretemathematics?

Accepted Answer

The answer of Which of the following is NOT considered...

Question 13

Which of the following includes the three categories of discrete mathematicsproblems?

Accepted Answer

Discrete mathematics problems often fall into three main categories: existence (proving whether solutions exist), counting (enumerating possible configurations or solutions), and optimization (finding the best solution according to some criteria).

Question 14

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

Accepted Answer

The answer of Which of the following is most often...

Question 15

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

This problem is a classic example of a graph theory problem, where roads can be considered as edges and intersections as vertices in a graph. The goal is to find a path that covers all edges with the minimum number of repetitions, akin to the Eulerian path or circuit problem.

Question 16

Determining how much money would be in a bank account at the end of a period oftime is typical of which type of discrete mathematics problem?

Accepted Answer

Iteration and recursion are used to solve problems that involve repeated processes or sequences, such as calculating compound interest over time in a bank account.

Question 17

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

Accepted Answer

Problems from discrete mathematics often have direct applications to the real world, making them more engaging and motivating for students as they can see the practical relevance of what they are learning.

Question 18

Which of the following factors has made discrete mathematics problems moreaccessible to students in recent years than the problems had been in the past?

Accepted Answer

Development of technology has made discrete mathematics problems more accessible to students in recent years than the problems had been in the past. Technology has provided students with access to a variety of resources that can help them understand and solve discrete mathematics problems. These resources include online tutorials, interactive simulations, and software that can help students visualize and solve problems.

Question 19

Which statement most accurately characterizes the relationship between how discretemathematics is described in the 1989 compared to the 2000 Standards from NCTM?

Accepted Answer

The answer of Which statement most accurately characterizes the relationship...

Question 20

Which of the following topics was NOT addressed as an area of study for discretemathematics in Principles and Standards for School Mathematics?

Accepted Answer

Social Choice is not typically covered under the umbrella of discrete mathematics in the context of Principles and Standards for School Mathematics. Discrete mathematics usually includes topics like iteration and recursion, combinatorics, and vertex-edge graphs, but social choice is more related to economics and political science.

Quiz 11: Teaching Geometry, Statisticsprobability, and Discrete Mathematics