Question 1

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

Accepted Answer

A) True 
 B)False  False

Question 2

What kinds of information can we gather on a student's mathematical abilities from formal assessments?

Accepted Answer

Formal assessments can provide a range of information on a student's mathematical abilities. This can include their understanding of mathematical concepts, their problem-solving skills, their ability to apply mathematical knowledge to real-world situations, their computational skills, and their ability to reason and communicate mathematically. Formal assessments can also provide insight into a student's mathematical reasoning, their ability to think critically and analytically, and their overall mathematical proficiency. Additionally, formal assessments can help identify areas of strength and areas for improvement, as well as inform instructional decisions and interventions to support the student's mathematical development. Overall, formal assessments can provide a comprehensive understanding of a student's mathematical abilities and inform targeted instruction to support their growth and success in mathematics.

Question 3

Math vocabulary like "certain" or "impossible" are associated with:​

Accepted Answer

A)  data analysis and probability.​
B)  geometry and data analysis.
C)  probability and algebra.
D)  data analysis and measurement. A

Question 4

Teachers need to show students how we use data analysis and probability in our everyday lives so:​

Accepted Answer

A)  it doesn't seem so concrete.
B)  they know we understand the concepts.​
C)  it doesn't seem so abstract.
D)  they are in compliance with standards based reform.

Question 5

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

Accepted Answer

A) True 
 B)False

Question 6

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

Accepted Answer

A) True 
 B)False

Question 7

Success in algebra requires students to be able to do all of the following, EXCEPT:

Accepted Answer

A)  understand properties of numbers and recognize patterns.
B)  identify symbols and understand the related language.
C)  use reasoning abilities.
D)  easily see pictures and shapes, or have visual spatial "intelligence."

Question 8

Explain how teaching a math concept to a nonverbal student could help a teacher arrive at creative ways to teach the same concept to all students in the classroom. Give at least two examples to illustrate your answer.

Accepted Answer

The answer of Explain how teaching a math concept to...

Question 9

Which of the following is NOT helpful in promoting math communication in the classroom?​

Accepted Answer

A)  Make sure math vocabulary is embedded  into the content, modeled, and used frequently as part of every lesson
B)  For diverse students and English language learners, avoid mathematical vocabulary and teach using simpler terms
C)  Use correct, universal mathematical terms when teaching, and put them on cards, posters, or labels
D)  Use visual imagery, keyword mnemonics, and connections to prior learning

Question 10

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

Accepted Answer

A)  Mathematical communication
B)  Numbers and operations
C)  Problem-solving.
D)  Computation fluency

Question 11

Concrete instructional techniques that include using real clocks to teach time-telling, real coins to teach money skills, constructing grids that students can actually walk on, or constructing a 'Gallon Man' to teach units of capacity are useful in teaching students concepts of:​

Accepted Answer

A)  algebra.
B)  problem solving.
C)  measurement.
D)  geometry.

Question 12

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

Accepted Answer

A) True 
 B)False

Question 13

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

Accepted Answer

A) True 
 B)False

Question 14

All of the following programs and techniques can help support students as they learn about numbers and operations, EXCEPT:

Accepted Answer

A)  completed multisensory, TouchMath tools such as beans, foam dots, and pipe cleaner circles that can represent the relationship between numbers and values.
B)  left to right subtraction algorithms to help students who have difficulty with right to left work or with regrouping.
C)  lesson extensions where student are expected to intuitively be able to transfer the basic principles in math to real life problem solving.
D)  the lattice multiplication method to break down large multiplication problems into small, manageable steps.

Question 15

While grading John's addition and subtraction homework assignments and quizzes, the teacher notices that whenever John begins with an addition problem, he continues to perform addition on all of the problems, including those that are subtraction problems. Likewise, if the first question is a subtraction problem, John performs subtraction on all of the problems. The teacher has performed a(n)__________ of John's work.

Accepted Answer

A)  diagnostic assessment
B)  criterion referenced test​
C)  error analysis
D)  math interview

Question 16

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

Accepted Answer

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.

Question 17

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

Accepted Answer

A)  to be critical thinkers
B)  procedural knowledge
C)  rule-driven knowledge
D)  to be concrete thinkers

Question 18

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

Accepted Answer

A) True 
 B)False

Question 19

A study on early math skills of children concluded all of the following, EXCEPT:

Accepted Answer

A)  no significant difference was found in the conventional math knowledge of four-year-old children according to their socioeconomic status.
B)  the more "teacher talk" about mathematics that occurs the greater the overall achievement in math by all students.
C)  early development in math has long term effects on math achievement.
D)  promoting "best practices" in math instruction at the preschool level can set the stage for future math success.

Question 20

All of the following can occur when students have math anxiety, EXCEPT:

Accepted Answer

A)  initial learning can be blocked.
B)  working memory can be hindered.
C)  demonstration of skills and concepts on assessments can be hindered.​
D)  long term memory can be hindered.​

Exam 14: Developing an Understanding of Mathematics in All Learners

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

What kinds of information can we gather on a student's mathematical abilities from formal assessments?

Math vocabulary like "certain" or "impossible" are associated with:​

Teachers need to show students how we use data analysis and probability in our everyday lives so:​

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

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

Success in algebra requires students to be able to do all of the following, EXCEPT:

Explain how teaching a math concept to a nonverbal student could help a teacher arrive at creative ways to teach the same concept to all students in the classroom. Give at least two examples to illustrate your answer.

Which of the following is NOT helpful in promoting math communication in the classroom?​

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

Concrete instructional techniques that include using real clocks to teach time-telling, real coins to teach money skills, constructing grids that students can actually walk on, or constructing a 'Gallon Man' to teach units of capacity are useful in teaching students concepts of:​

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

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

All of the following programs and techniques can help support students as they learn about numbers and operations, EXCEPT:

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.​

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

A study on early math skills of children concluded all of the following, EXCEPT:

All of the following can occur when students have math anxiety, EXCEPT:

Math vocabulary like "certain" or "impossible" are associated with:

Teachers need to show students how we use data analysis and probability in our everyday lives so:

Which of the following is NOT helpful in promoting math communication in the classroom?

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

Concrete instructional techniques that include using real clocks to teach time-telling, real coins to teach money skills, constructing grids that students can actually walk on, or constructing a 'Gallon Man' to teach units of capacity are useful in teaching students concepts of:

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.