Question 1

All of the following have contributed to the increased emphasis on mathematics education, EXCEPT:
A)Goals 2000: Educate America Act of 1994.
B)Principles and Standards for School Mathematics.
C)Reauthorization of IDEA, 1997.
D)Common Core State Standards.

Accepted Answer

The reauthorization of IDEA, 1997, focuses on special education services for students with disabilities and does not specifically relate to mathematics education. The other options, Goals 2000, Principles and Standards for School Mathematics, and Common Core State Standards, all directly relate to increased emphasis on mathematics education.

Question 2

As students get older, risk-taking in math problem solving tends to:​
A)increase.
B)decrease.
C)be the same as when they were young.
D)change for the better.

Accepted Answer

As students get older, they tend to become more aware of the consequences of their actions and may be more hesitant to take risks in problem solving. This is especially true if they have experienced failure or made mistakes in the past. Therefore, risk-taking tends to decrease as students get older.

Question 3

Many diverse learners need "hands on" math so they can see, hold, and move objects in order to grasp skills and concepts.

Accepted Answer

This statement is true. Many learners benefit from hands-on experiences in math in order to fully understand and internalize mathematical concepts and skills.

Question 4

Most students will need concrete experiences and at least some direct instruction to build a strong foundation in measurement.

Accepted Answer

Concrete experiences (manipulating physical objects) and direct instruction (explicit teaching) are essential elements to developing a strong understanding of measurement concepts in students. These experiences help form the foundation for future abstract reasoning and problem-solving.

Question 5

The current emphasis in mathematical education is now on the development of math literacy and conceptual knowledge.

Accepted Answer

Math literacy and conceptual understanding have become a greater focus in math education in recent years. This shift emphasizes the importance of understanding why math concepts work, rather than simply memorizing formulas and procedures.

Question 6

Math vocabulary should not be directly taught, but learned through authentic problem solving investigations.

Accepted Answer

Direct instruction of math vocabulary is important for understanding concepts and for students to accurately communicate their mathematical thinking, alongside engaging in problem-solving investigations.

Question 7

Good problem solvers must have all of the following characteristics, EXCEPT:
A)an ability to reason.
B)high levels of reading fluency.
C)a useful inner language.
D)an ability to evaluate and predict.

Accepted Answer

High levels of reading fluency may enhance a person's problem-solving skills, but it is not a necessary characteristic for good problem solvers. The other three characteristics are essential for effective problem solving.

Question 8

Unlike other subject areas, a student's culture is irrelevant in the teaching of mathematics.

Accepted Answer

The cultural background of students can impact their understanding and approach to mathematics. It is important for teachers to be aware of and respectful of this cultural diversity in the classroom.

Question 9

________________ has become the number one priority for math curriculum in both general and special education.​
A)Mathematical communication
B)Numbers and operations
C)Problem-solving.
D)Computation fluency

Accepted Answer

Problem-solving has become a central focus in math education, emphasizing the importance of teaching students how to approach and solve various mathematical challenges. This approach is aimed at developing critical thinking and analytical skills, which are applicable in real-world situations.

Question 10

In order to foster generalization of concepts and skill application, it is best to teach math through:​
A)skills taught in isolation.​
B)intensive direct instruction.
C)a focus on relevant stimuli as opposed to the big picture.
D)authentic, anchored learning.

Accepted Answer

Authentic, anchored learning allows students to apply their math skills to real-world situations and contexts, increasing the likelihood of generalization and transfer to other areas of their lives. This type of learning aligns with constructivist theory, where students construct their own knowledge and meaning through active participation in meaningful tasks and experiences.

Question 11

Children first learn how to order numbers and use them in operations and then progress to learning things like how to match objects, recognize groups of objects, and count.

Accepted Answer

Children first learn foundational number concepts like how to match objects, recognize groups of objects, and count, before progressing to more abstract concepts such as ordering numbers and using them in operations.

Question 12

As cognitive and metacognitive challenges increase, the need for concrete representation, direct instruction, scaffolding, and task analysis conversely decrease.

Accepted Answer

As cognitive and metacognitive challenges increase, the need for concrete representation, direct instruction, scaffolding, and task analysis also increases. This is because more support and guidance is necessary for learners to successfully navigate more complex tasks and concepts.

Question 13

The standards-based reform movement in mathematics education has made teaching students _____________ a priority.​
A)to be critical thinkers
B)procedural knowledge
C)rule-driven knowledge
D)to be concrete thinkers

Accepted Answer

The standards-based reform movement emphasizes the development of critical thinking skills in mathematics education rather than just memorizing procedures or rules-driven knowledge. This approach focuses on helping students learn to think deeply about mathematical concepts and solve problems in a variety of contexts.

Question 14

It is estimated that between 20 and 25 percent of all elementary students struggle with learning mathematics.

Accepted Answer

The answer of It is estimated that between 20 and...

Question 15

Students with ADHD appear to have the most difficulty with problem solving and calculation because:​
A)they also have cognitive deficits.​
B)they can only learn in real life settings.
C)they tend to focus on less relevant stimuli and miss the "big picture."
D)behavioral issues impede their learning of math concepts.

Accepted Answer

Students with ADHD tend to have difficulty with problem solving and calculation because they often have difficulty focusing on relevant stimuli and may miss important details or the "big picture" needed to solve the problem. This is due to their impulsivity and tendency to be easily distracted. They may also struggle with working memory and cognitive processing, which can further hinder their ability to solve complex math problems. It is not necessarily due to cognitive deficits or an inability to learn in real life settings, and while behavioral issues may impact their ability to focus and engage in class, it is not the primary reason for their math difficulties.

Question 16

Students who struggle with mathematics can increase their ability to reason in algebra through the use of guided practice, independent practice, frequent reviews, and corrective/positive feedback.

Accepted Answer

These are all effective strategies for improving algebraic reasoning skills. Guided practice provides students with support and structure as they learn new concepts, while independent practice allows them to apply what they have learned on their own. Frequent reviews help reinforce learning and keep concepts fresh in the students' minds, while corrective and positive feedback allows them to learn from their mistakes and build confidence.

Question 17

In the 21st century the level of technical and mathematical skills required of everyone, regardless of whether or not they go to college, has:​
A)remained the same.
B)increased.
C)decreased.
D)Diminished.

Accepted Answer

In the 21st century, technological advancements and digital transformation have significantly increased the demand for technical and mathematical skills. The job market now requires employees with a broader range of skills than before, including proficiency in programming languages and software use. Therefore, the level of technical and mathematical aptitude required of everyone, regardless of whether or not they go to college, has increased.

Question 18

In mathematical communication, a student must be able to connect English words with symbols in order to develop math literacy.

Accepted Answer

This statement is true. Math literacy involves being able to understand and communicate mathematical ideas using both words and symbols. Connecting English words with mathematical symbols is an important part of this process.

Question 19

In order to be a good problem solver, students must possess all of the following characteristics, EXCEPT:
A)understanding there is only one right way to arrive at an answer.
B)confidence.​
C)risk-taking.
D)willingness to learn from mistakes.

Accepted Answer

Understanding that there is only one right way to arrive at an answer is not a characteristic of a good problem solver. In fact, good problem solvers understand that there are multiple ways to approach and solve a problem. Therefore, the correct characteristic that students should NOT possess is A.

Question 20

The impact of technology can be felt:​
A)in schools.
B)in the home at work.
C)in the community.
D)All of the choices are correct.

Accepted Answer

Technology has had an impact on all aspects of our lives, including education in schools, work and home life, and community interactions. Therefore, option D is the correct answer.

Quiz 14: Developing an Understanding of Mathematics in All Learners

All of the following have contributed to the increased emphasis on mathematics education, EXCEPT:

As students get older, risk-taking in math problem solving tends to:​

Many diverse learners need "hands on" math so they can see, hold, and move objects in order to grasp skills and concepts.

Most students will need concrete experiences and at least some direct instruction to build a strong foundation in measurement.

The current emphasis in mathematical education is now on the development of math literacy and conceptual knowledge.

Math vocabulary should not be directly taught, but learned through authentic problem solving investigations.

Good problem solvers must have all of the following characteristics, EXCEPT:

Unlike other subject areas, a student's culture is irrelevant in the teaching of mathematics.

________________ has become the number one priority for math curriculum in both general and special education.​

In order to foster generalization of concepts and skill application, it is best to teach math through:​

Children first learn how to order numbers and use them in operations and then progress to learning things like how to match objects, recognize groups of objects, and count.

As cognitive and metacognitive challenges increase, the need for concrete representation, direct instruction, scaffolding, and task analysis conversely decrease.

The standards-based reform movement in mathematics education has made teaching students _____________ a priority.​

It is estimated that between 20 and 25 percent of all elementary students struggle with learning mathematics.

Students with ADHD appear to have the most difficulty with problem solving and calculation because:​

Students who struggle with mathematics can increase their ability to reason in algebra through the use of guided practice, independent practice, frequent reviews, and corrective/positive feedback.

In the 21st century the level of technical and mathematical skills required of everyone, regardless of whether or not they go to college, has:​

In mathematical communication, a student must be able to connect English words with symbols in order to develop math literacy.

In order to be a good problem solver, students must possess all of the following characteristics, EXCEPT:

The impact of technology can be felt:​

As students get older, risk-taking in math problem solving tends to:

________________ has become the number one priority for math curriculum in both general and special education.

In order to foster generalization of concepts and skill application, it is best to teach math through:

The standards-based reform movement in mathematics education has made teaching students _____________ a priority.

Students with ADHD appear to have the most difficulty with problem solving and calculation because:

In the 21st century the level of technical and mathematical skills required of everyone, regardless of whether or not they go to college, has:

The impact of technology can be felt: