Question 1

In order to determine a student's working level in mathematics, _____________ should be used.​
A)informal assessments
B)a mixture of assessment tools
C)results from group administered achievement tests
D)standardized assessments

Accepted Answer

A mixture of assessment tools should be used to determine a student's working level in mathematics. This includes informal assessments such as observations and discussions, as well as more formal assessments such as quizzes and tests. Group administered achievement tests and standardized assessments can also be used as part of the assessment process, but should not be the sole determining factor.

Question 2

Students with learning disabilities sometimes have great difficulty measuring:​
A)time and length.
B)length and direction.​
C)heights and direction.
D)direction and time.

Accepted Answer

The answer of Students with learning disabilities sometimes have great...

Question 3

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

Accepted Answer

The teacher performed an error analysis to identify John's consistent mistake of not adjusting his operation based on the type of problem given.

Question 4

Studies on gender and math has suggested all of the following, EXCEPT:
A)boys are inherently more skilled in math than girls.
B)boys prefer to use spatial representations and memory to solve math problems.
C)girls prefer math strategies paired with manipulatives to solve math problems.
D)teachers may reinforce positive performance in math with attention and praise more often for boys than for girls.

Accepted Answer

Studies have not shown that boys are inherently more skilled in math than girls. In fact, research suggests that gender differences in math ability are not biologically determined but rather influenced by environmental factors such as socialization, stereotypes, and math anxiety.

Question 5

A student who understands that the word add is represented by the symbol + is demonstrating ability in:​
A)visual-motor skills.
B)spatial learning.​
C)math literacy.
D)computation fluency.

Accepted Answer

Knowing that the word "add" is represented by the symbol + is a foundational skill in math literacy. It shows that the student understands basic mathematical symbols and their meanings. This knowledge is essential for success in math and is a building block for more complex problem-solving skills.

Question 6

Students need to see how mathematical operations such as adding, subtracting, multiplying, and dividing are all connected so that later on they will be able to:​
A)pass addition tests.
B)make reasonable predications and estimates.
C)earn reasonable grades in math classes.
D)improve their visual-motor skills.

Accepted Answer

Understanding the connection between mathematical operations is important for making reasonable predictions and estimates, which is a valuable skill in many aspects of life beyond just math class.

Question 7

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

Accepted Answer

Showing students how data analysis and probability are used in everyday life can make these concepts less abstract and more relatable to students. This can help increase their understanding and engagement in these topics.

Question 8

Computational fluency refers to the ability to:​
A)use a number line.
B)work from right to left to solve column-form calculations.​
C)calculate accurately and efficiently.
D)line up computational problems in math.

Accepted Answer

Computational fluency refers to the ability to calculate accurately and efficiently, which involves using strategies such as mental math, estimation, and recognizing patterns in numbers. Using a number line or lining up computational problems can be helpful strategies but are not the defining aspects of computational fluency. Working from right to left can be a useful strategy in certain situations, but it is not a necessary or comprehensive aspect of computational fluency.

Question 9

All of the following statements regarding algebra are true, EXCEPT:
A)algebraic thinking can be seen on all grade levels as we move toward a problem solving emphasis in math.
B)concrete thinkers generally do poorly in algebra, while more abstract thinkers generally do well.
C)strong skills in algebra are necessary to develop higher level critical math skills needed in most workplaces today.
D)using algebraic symbols, graphs, equations, etc., students learn to represent and analyze mathematical situations and see relationships between numbers.

Accepted Answer

The statement that concrete thinkers generally do poorly in algebra is not true. In fact, research has shown that students with strong spatial reasoning skills (which are typically associated with concrete thinking) tend to excel in algebra.

Question 10

When students first understand that symbols, such as letters in algebra, can be used to stand for unknown numbers, they have moved to which of the following instructional stages?​
A)Concrete
B)Representational
C)Abstract
D)Manipulative

Accepted Answer

The answer of When students first understand that symbols, such...

Question 11

Math vocabulary like "certain" or "impossible" are associated with:​
A)data analysis and probability.​
B)geometry and data analysis.
C)probability and algebra.
D)data analysis and measurement.

Accepted Answer

These terms are specifically associated with probability, which is a branch of mathematics that deals with the likelihood of different outcomes. Data analysis often involves interpreting results from probability, making choice A the correct association.

Question 12

Research has suggested that all of the following can help reduce math anxiety, EXCEPT:
A)providing peer models and social support.
B)assigning individual seat work.
C)discussing incorrect answers.
D)eliminating unnecessary competition.

Accepted Answer

Assigning individual seat work may actually increase math anxiety because it removes opportunities for peer support and collaboration. Research suggests that providing peer models and social support, discussing incorrect answers, and eliminating unnecessary competition can all help reduce math anxiety.

Question 13

Informal math assessments can give us insights to student learning that we cannot get through any other means. Which of the following is NOT an example of an informal assessment?​
A)Criterion-referenced assessment
B)Curriculum based assessment​
C)Portfolio assessment
D)Error analysis

Accepted Answer

Criterion-referenced assessment is a formal assessment that compares a student's performance to a set criteria or standard. It is not an example of an informal assessment, unlike the other options which are all examples of informal assessments.

Question 14

Students who have difficulty understanding that the word quarter can be used to describe 15 minutes, twenty-five cents, or one-fourth of a whole have a problem with language ____________.​
A)phonology
B)alphabetic principle​
C)semantics
D)morphology

Accepted Answer

Semantics refers to the meaning of words and their relationship to each other. Students who have difficulty understanding the different meanings of the word "quarter" have a problem with semantics. Phonology refers to the sounds of language, alphabetic principle refers to the relationship between letters and sounds, and morphology refers to the structure of words.

Question 15

Learning to tell time, determining the outside temperature, cooking, and doing laundry all require the mathematical skill of:
A)algebra.
B)geometry.
C)measurement.
D)computation fluency.

Accepted Answer

Learning to tell time involves understanding the concepts of minutes, hours, and the relationship between them. Determining the outside temperature involves reading a thermometer and understanding temperature scales. Cooking and doing laundry both require measuring quantities of ingredients or clothing, and understanding conversions between different units of measurement. Therefore, all of these tasks require the mathematical skill of measurement, making option C the best choice.

Question 16

There is evidence to support all the following statements regarding second language learners and mathematics, EXCEPT:
A)Second language learners who have developed basic interpersonal communication skills in English will also have a sufficient math vocabulary.
B)English language learners need exposure early to math vocabulary in order to accelerate their math performance.
C)Difficulties with math can be overcome in time when an extra effort is made to learn the language and related math skills.
D)Lower performances on math assessments by English language learners relates more to lack of exposure to mathematical words and phrases then to lack of mathematical skill.

Accepted Answer

There is no evidence to support the statement that second language learners who have developed basic interpersonal communication skills in English will also have a sufficient math vocabulary. In fact, research suggests that math language proficiency is often a separate skill from general language proficiency, and that specific instruction and support is needed to develop math vocabulary.

Question 17

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

Accepted Answer

Success in algebra does not require the ability to easily see pictures and shapes or have visual spatial "intelligence." Algebra is a form of abstract reasoning that focuses on manipulating symbols and solving equations.

Question 18

Which type of formal assessment focuses more specifically on math skill areas and helps to determine strengths and needs within the math domain?​
A)Achievement tests​
B)Interest inventories​
C)Diagnostic tests
D)Error analyses

Accepted Answer

Diagnostic tests are specifically designed to identify strengths and weaknesses within a particular domain or subject area, in this case math. Achievement tests provide a broader measure of overall academic achievement rather than identifying specific skill areas. Interest inventories focus on student preferences and attitudes towards certain topics or activities, while error analyses are a method of identifying common errors students make and are not necessarily focused on determining strengths and needs within a particular subject area.

Question 19

All of the following group of students are likely to need extra supports in understanding geometry, EXCEPT students who are:
A)spatially-challenged.
B)physically-challenged.
C)verbally-challenged.
D)cognitively challenged.

Accepted Answer

Being physically challenged does not necessarily correlate with difficulty in understanding geometry. Spatial, verbal, and cognitive challenges have more direct connections to understanding geometry.

Question 20

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

Accepted Answer

Math anxiety can block initial learning, hinder working memory, and affect the demonstration of skills and concepts on assessments. However, it does not directly hinder long-term memory; instead, it affects the processes that could lead to the storage of information in long-term memory.

Quiz 14: Developing an Understanding of Mathematics in All Learners

In order to determine a student's working level in mathematics, _____________ should be used.​

Students with learning disabilities sometimes have great difficulty measuring:​

Studies on gender and math has suggested all of the following, EXCEPT:

A student who understands that the word add is represented by the symbol + is demonstrating ability in:​

Students need to see how mathematical operations such as adding, subtracting, multiplying, and dividing are all connected so that later on they will be able to:​

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

Computational fluency refers to the ability to:​

All of the following statements regarding algebra are true, EXCEPT:

When students first understand that symbols, such as letters in algebra, can be used to stand for unknown numbers, they have moved to which of the following instructional stages?​

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

Research has suggested that all of the following can help reduce math anxiety, EXCEPT:

Informal math assessments can give us insights to student learning that we cannot get through any other means. Which of the following is NOT an example of an informal assessment?​

Students who have difficulty understanding that the word quarter can be used to describe 15 minutes, twenty-five cents, or one-fourth of a whole have a problem with language ____________.​

Learning to tell time, determining the outside temperature, cooking, and doing laundry all require the mathematical skill of:

There is evidence to support all the following statements regarding second language learners and mathematics, EXCEPT:

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

Which type of formal assessment focuses more specifically on math skill areas and helps to determine strengths and needs within the math domain?​

All of the following group of students are likely to need extra supports in understanding geometry, EXCEPT students who are:

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

In order to determine a student's working level in mathematics, _____________ should be used.

Students with learning disabilities sometimes have great difficulty measuring:

A student who understands that the word add is represented by the symbol + is demonstrating ability in:

Students need to see how mathematical operations such as adding, subtracting, multiplying, and dividing are all connected so that later on they will be able to:

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

Computational fluency refers to the ability to:

When students first understand that symbols, such as letters in algebra, can be used to stand for unknown numbers, they have moved to which of the following instructional stages?

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

Informal math assessments can give us insights to student learning that we cannot get through any other means. Which of the following is NOT an example of an informal assessment?

Students who have difficulty understanding that the word quarter can be used to describe 15 minutes, twenty-five cents, or one-fourth of a whole have a problem with language ____________.

Which type of formal assessment focuses more specifically on math skill areas and helps to determine strengths and needs within the math domain?