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ELEC 340 Final
ELEC 340 Final
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1
Jimmy is comparing fractions. He indicates that 2/3 < 2/4. Which activity would help Jimmy?
nothing, Jimmy is correct
ask Jimmy to demonstrate his reasoning using fraction manipulatives
give Jimmy homework on similar problems so that he can practice
show Jimmy how to use the algorithm to find a common denominator.
2
Which of the following is a common incorrect answer given by students when solving the problem 8 ÷ 1/2?
4
16
1/16
1/4
3
Developing number sense is an important part of the curriculum for the primary grades. Which of the following isn't true
Number relationships cannot be taught directly to children.
Number sense consists of understanding number meanings and relationships
All of the above
Children should be encouraged to verbalize number relationships
4
In what way should children think about fractions to develop understanding about fractional parts?
equal-sized parts of a whole
fractions of objects
parts of a whole
how much
5
Which of the following are equivalent representations? Select all that apply
Zero groups of 10 and 32 singles
One group of 10 and 22 singles
Three groups of 10 and 2 singles
Two groups of 10 and 12 singles
6
To understand decimals quantitatively, children must develop
computation algorithms
fractional number concepts
and apply the characteristics of whole-number numeration
an understanding of the place-value system for whole numbers
7
A sequence of steps for producing an answer in standard form is referred to as
a strategy
a computation
an algorithm
a practice exercise
8
What are the partial products for the multiplication problem 24 x 3?
24 and 3
24, 24, and 24
2 and 6
60 and 12
9
After students complete a set of problems, teachers should
encourage whole group discussion of solutions and strategies
require students who did not finish the problems to finish them for hw
discourage whole group discussion to eliminate cheating in the class
collect the papers to be graded later
10
Diagnosing what children already know is considered a
math phobia
pre-teaching activity
social factor in the child's home situation
myth about learning mathematics
11
Most graphic representations at the primary level will be some form of
Bar graph
Pictograph
Circle graph
Pie graph
12
According to Jean Piaget, children develop schema through a process of adaptation which takes two forms. These forms are
activation and assimilation
assumption and accommodation
activation and assumption
accommodation and assimilation
13
When teaching students about beginning ratio concepts, the teacher should stress that
All of the above
ratios represent specific numbers just as fractions or percents do
ratios are relationships between numbers and not numbers themselves
ratios are written the same as fractions, so we can do operations on them
14
Girls tend to enroll in fewer higher-level math classes than boys. The reason for this might be
Boys perform better than girls on math assessments
Boys work harder at math
Girls are less capable of learning math than boys
Teachers and parents have higher expectations for boys in math
15
Ms. Wright holds up two containers and asks her class, "Which one do you think holds more?" Ms. Wright is teaching
capacity
area
volume
weight
16
What is the great equalizer in the success of all children in learning mathematics?
Rote memorization of basic facts and procedures is the key factor
Modifying instructional experiences to best meet children's needs
More interaction with girls on high-cognitive-level mathematics activities
Improving spatial abilities is the key factor
17
According to the text, which of the following are goals for instruction when we consider fraction operations?
Children need to find the answers to fraction computations using models
Children need to be able to understand the reasonableness of results
Children need to be able to find exact answers to computation problems
Children need to know how to find common denominators
18
Mr. Snyder has his students separate into groups with like color shirts to develop math readiness skills related to:
classification
counting
one-to-one correspondence
seriation
19
Angelina is comparing decimal numbers. She writes "0.4 < 0.325." Your response would be:
"That's great! You really understand decimals!"
"You made an error; .4 is greater than .325."
"Try that problem over again."
"Tell me how you got your answer."
20
Boxes or buckets of small discrete objects for children to use in counting serve as
symbolic representations of numbers
pictorial and graphic representations
concrete models
numerals
21
Before beginning to teach computation with decimals, teachers should ensure that students have mastered which skills?
Fraction concepts and computation
Measurement
Place value
Whole-number concepts and computation
22
Beginning experiences for equal ratios include activities involving
cross-product algorithms
comparison shopping
number patterns and repeated addition
scale drawings
23
Teachers can enhance students' problem-solving skills by all of the following except:
allowing students to use calculators
linking problems to real-life situations
insisting that everyone follow the teacher's model
allowing students to create and answer their own problems
24
First, second and third are examples of what kinds of numbers?
ordinal
nominal
rote
cardinal
25
The system by which the value of a digit is determined by the position it occupies relative to the decimal point is
decimal
regrouping
place value
base numbers
26
Which of the following is an activity that will help children understand equivalent fractions?
using fraction circles to show the sum of 1/2 and 1/3
using fraction circles to show 1/2 is the same as 4/8
using fraction circles to show that 1/2 is bigger than 1/3
using fraction circles to show the sum of 1/2 and 4/8
27
How might a child think about using the "Twice as Much" strategy to answer the problem 8 x 3?
counting 8, 16, 24
16 is twice as much as 8, and 8 x 3 is 8 more than 16 or 24
4 x 3 is 12, and twice as much as 12 is 24
8 x 3 means 8 + 8 + 8 = 24
28
Which of the following would be the correct way to read the decimal number 0.068?
"zero point sixty-eight"
"zero point zero six eight"
"zero and sixty-eight thousandths"
"zero and sixty-eight hundredths"
29
The placeholder numeral in the Hindu-Arabic numeration system lies in the genius of this symbol.
five
zero
ten
one
30
Considering the use of manipulative materials while teaching mathematics:
work with manipulatives doesn't need to be evaluated
manipulatives need to be chosen to support a lesson's objectives
using manipulatives ensures understanding
manipulatives are the only representation needed for understanding concepts
31
In numeration systems, sets of numbers are represented by particular symbols that are called
digits
numerals
onces
tens
32
Which of the following statements is correct concerning linear measurement using standard units?
teachers should introduce the customary system first then the metric system
teachers should introduce the metric system first then the customary system
teachers should only introduce the customary system
teachers should introduce the metric system and customary system together
33
Which of the following practices contribute to effective instruction in fraction computation?
proceeding to abstract fraction operations quickly
developing number sense concerning the meaning of fraction operations
allowing children to explore manipulatives before introducing algorithms
helping make connections between operations with whole numbers and fraction
34
What is the appropriate sequence for teaching students linear measure?
use non-standard units, direct comparison, use standards units
teach vocab, direct comparison, use non-standard units, use standard units
direct comparison, use non-standard units, use standards units
teach vocabulary, use non-standard units, use standard units
35
At which stage of is it most appropriate to switch from one-to-one correspondence to one-to-many correspondence?
Pictorial-abstract
Abstract
Concrete
Concrete-pictorial
36
In the early grades, children should learn about ratio
as the first term and the second term
through comparison subtraction situations
through rate and unit rate
as another way of comparing two quantities
37
John is using a mental math procedure to solve the problem 76 + 32 = ? His answer is 100. John is probably using
averaging
front-end estimation
rounding
algorithm
38
Before beginning to teach pencil-and-paper computational algorithms, teachers should considerall of the following except
mastery of all the basic facts
making accurate estimations
conceptual understanding of place value
understanding of the commutative property
39
The 2010 Common Core State Standards
have been adopted by most, but not all, states
were developed to help students in the United States compete in the economy
all of the above
describe the mathematical content and practices that should be developed
40
Some teacher practices that contribute to math anxiety are
an emphasis on accuracy, authoritarian teaching, variety of math activities
an emphasis on speed, accuracy, and authoritarian teaching
an emphasis on speed, accuracy, and providing a variety of math activities
an emphasis on speed, group work, and authoritarian teaching
41
When introducing a mathematical concept, teachers should be sure to include all of the following except:
provide non-examples as well as examples of the concept
allow children to use manipulatives to model the concept
require the students to memorize the definition of the concept
provide models
42
Brian becomes "stuck" when solving a word problem. What should his teacher do to help Brian?
allow Brian to copy partner's answer because they are working in a group
ask Brian leading questions to help think out loud to discover a strategy
give him the answer to promote self-confidence/keep up with his peers
direct Brian to skip it because it is too hard/he may become frustrated