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Math Midterm Question and answers rated A+ 2024/2025
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Math Midterm Question and answers rated A+ 2024/2025 Math Midterm Review the manipulatives explored to teach children to classify. Name two and discuss how they might be used or describe an activity for each. - correct answer Attribute Blocks: used to classify different colors, shapes, and ...

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  • October 15, 2024
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  • 2024/2025
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Math Midterm
Review the manipulatives explored to teach children to classify. Name two
and discuss how they might be used or describe an activity for each. - correct
answer ✔Attribute Blocks: used to classify different colors, shapes, and sizes
(i.e. large blue square vs. small red circle) An activity using attribute blocks to
classify might include using large circles to explore union and intersection
between classification between blocks. During this activity students can
experiment in teams, partner groups, or individually to create different
relationships between shapes, colors, and sizes.
Buttons: buttons can be used to explore classification by distinguishing
between and classifying buttons with different numbers of holes, colors, and
sizes. Activities associated with button would include sorting, grouping, and
trading buttons based on their characteristics or


Be able to list and describe the four counting principles - correct answer
✔Each object to be counted must be assigned on and only one number name.
(establishing a one-to-one correspondence between item and number name)
The number-name list must be used in a fixed order every time a group of
objects is counted. (stable-order rule, numbers must be counted in a specific
order every time)
The order in which the objects are counted doesn't matter. (child can start with
any object and count them in any order as long as the number names fall in
the right sequence)
The last number name used gives the number of objects. (cordinality rule
which connects counting with how many)


A fourth grade student is quoted in the text (p. 172) as saying "That means
there are as many thousands in one million as ones in one thousand." Given a
statement such as "There are as many thousands in one million as
_____________ in one thousand," be able to complete the blank. - correct
answer ✔"There are as many thousands in one million as ones in one
thousand"

, Be able to describe at least three counting misconceptions (besides
conservation of number) listed in your text (p. 145). Explain how these actions
indicate that a child is still counting by rote rather than rationally. - correct
answer ✔Incorrect sequence, correct correspondence (child provides number
names while pointing at each object but number names are not in the correct
sequence)
Correct sequence, incorrect correspondence (counts too fast, says number
names in the right sequence but skips over items or does not assign each
item a number name)
Correct sequence, incorrect correspondence (also counts too fast, says the
number names faster than pointing until perceives that all items have been
counted)


Discuss differences between proportional and non-proportional grouping
materials. Include a discussion of pre-grouped and ungrouped manipulatives.
Discuss a real world application for non-proportional grouping. - correct
answer ✔Proportional grouping materials: base-ten blocks, beans glued on a
stick in groups of ten, measurement
Non-proportional grouping materials: money, abacus, counters (do not
maintain any size relationships)
Real life example: Use coins and trade a nickel for five pennies.


There are five important characteristics or properties of the Hindu-Arabic
numeration system that are described in either the textbook (p. 162) or in the
article by Ross titled Place value: Problem Solving and Written Assessment.
Know these five basic properties and be able to describe each one. - correct
answer ✔Place Value: the position of a digit represents its value i.e. the 2 in
$23 names "two tens" or "twenty" and has a different mathematical meaning
that the 2 in $32 which represents "two ones"
Base of ten: base means collection, ten is the value that determines a new
collection and is represented by 10, digits 1-9

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