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Math 391 Final Exam – Questions & Detailed Answers
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Math 391 Final Exam – Questions & Detailed Answers
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Math 391 Final Exam – Questions & Detailed AnswersTrue or False:
Student invented strategies are number oriented rather than digit oriented.
✔️Ans - True
True or False:
A non-standard unit for length should be introduced to students before
standard units are used. ✔️Ans - True
True or False:
Rectangles with the same area have the same perimeters. ✔️Ans - False
True or False:
It is important for children to obtain procedural knowledge of mathematics
before conceptual knowledge. ✔️Ans - False
True or False:
Summative assessment occurs during a learning cycle. ✔️Ans - False
True or False:
On a table for a growing pattern, the recursive relationship is found by
looking for a step to step pattern. ✔️Ans - True
True or False:
Repeated multiplication is a way to solve a multiplication problem.
✔️Ans - False
True or False:
A rectangle is never a rhombus. ✔️Ans - False
True or False:
An explicit rule (formula) determines the number of elements in a step
from the step number. ✔️Ans - True
True or False:
,After the formula for the area of a rectangle is developed, students should
then develop the formula for the areas of triangles and then determine
areas of parallelograms. ✔️Ans - False
True or False:
When a student can classify shapes based on their properties, the child is
most likely at the analysis stage of Van Hiele thought. ✔️Ans - True
True or False:
The category of problems where the initial amount is the whole or largest
value is called separate. ✔️Ans - True
True or False:
In measurement division problems, the whole is distributed equally among
a known number of sets to determine the size of each. ✔️Ans - False
True or False:
"Doing" mathematics includes a collection of verbs a teacher should use,
including calculate. ✔️Ans - False
True or False:
Activities that encourage a transition from Van Hiele's level zero to one
include classifying shapes by properties. ✔️Ans - True
True or False:
Most addition and subtraction problem types found in textbooks are "join"
and "separate" problems, with results unknown. ✔️Ans - True
True or False:
Any fact that is true for every parallelogram is also true for every square.
✔️Ans - True
True or False:
In the elementary grades, studying patterns is the most prominent
algebraic experience. ✔️Ans - True
True or False:
When a student understands that a square is a rectangle, the child is most
likely at the analysis stage of Van Hiele thought. ✔️Ans - False
, True or False:
Most mathematical procedures can be taught through problem solving.
✔️Ans - True
What is the problem structure of the following story problem: Maryann had
9 library books and Jim had 4. How many more did Maryann have than Jim?
✔️Ans - Compare, Difference Unknown
What is the problem structure of the following story problem: This month,
Barry saved 8 times as much as last month. Last month, he saved $3. How
much did Barry save this month? ✔️Ans - Comparison, Product
Unknown
What is the problem structure of the following story problem: Barry saved
$24 total, and he saved $6 each month. For how many months had he been
saving? ✔️Ans - Equal Groups, Number of Groups Unknown
What is the problem structure of the following story problem: Maryann had
some nonfiction books and 2 fiction. She now has 8 books. How many did
she begin with? ✔️Ans - Separate, Start Unknown
What is the first step needed to measure an object? ✔️Ans - Decide on
an attribute to be measured
True or False:
"Students memorize an algorithmic approach to solve a problem" is a
characteristic of conceptual understanding. ✔️Ans - False
Characteristics of conceptual understanding ✔️Ans - Students retain
information longer.
Students' understanding is deep enough that they can do the problem and
also explain their solution.
Students fit the new knowledge together with information they already
know.
True or False:
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