Math 391 Final Exam
True or False:
Student invented strategies are number oriented rather than digit oriented. Correct Answer: True
True or False:
A non-standard unit for length should be introduced to students before standard units are used. Correct
Answer: True
True or False:
Rectangles with the same area have the same perimeters. Correct Answer: False
True or False:
It is important for children to obtain procedural knowledge of mathematics before conceptual
knowledge. Correct Answer: False
True or False:
Summative assessment occurs during a learning cycle. Correct Answer: False
True or False:
On a table for a growing pattern, the recursive relationship is found by looking for a step to step pattern.
Correct Answer: True
True or False:
Repeated multiplication is a way to solve a multiplication problem. Correct Answer: False
True or False:
A rectangle is never a rhombus. Correct Answer: False
True or False:
An explicit rule (formula) determines the number of elements in a step from the step number. Correct
Answer: 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. Correct Answer: 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. Correct Answer: True
True or False:
The category of problems where the initial amount is the whole or largest value is called separate.
Correct Answer: 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. Correct Answer: False
True or False:
"Doing" mathematics includes a collection of verbs a teacher should use, including calculate. Correct
Answer: False
True or False:
Activities that encourage a transition from Van Hiele's level zero to one include classifying shapes by
properties. Correct Answer: True
True or False:
Most addition and subtraction problem types found in textbooks are "join" and "separate" problems,
with results unknown. Correct Answer: True
True or False:
Any fact that is true for every parallelogram is also true for every square. Correct Answer: True
True or False:
In the elementary grades, studying patterns is the most prominent algebraic experience. Correct
Answer: 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. Correct Answer: False
True or False:
Most mathematical procedures can be taught through problem solving. Correct Answer: 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? Correct Answer: 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? Correct Answer:
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? Correct Answer: 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? Correct Answer: Separate, Start
Unknown
What is the first step needed to measure an object? Correct Answer: Decide on an attribute to be
measured
True or False:
Student invented strategies are number oriented rather than digit oriented. Correct Answer: True
True or False:
A non-standard unit for length should be introduced to students before standard units are used. Correct
Answer: True
True or False:
Rectangles with the same area have the same perimeters. Correct Answer: False
True or False:
It is important for children to obtain procedural knowledge of mathematics before conceptual
knowledge. Correct Answer: False
True or False:
Summative assessment occurs during a learning cycle. Correct Answer: False
True or False:
On a table for a growing pattern, the recursive relationship is found by looking for a step to step pattern.
Correct Answer: True
True or False:
Repeated multiplication is a way to solve a multiplication problem. Correct Answer: False
True or False:
A rectangle is never a rhombus. Correct Answer: False
True or False:
An explicit rule (formula) determines the number of elements in a step from the step number. Correct
Answer: 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. Correct Answer: 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. Correct Answer: True
True or False:
The category of problems where the initial amount is the whole or largest value is called separate.
Correct Answer: 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. Correct Answer: False
True or False:
"Doing" mathematics includes a collection of verbs a teacher should use, including calculate. Correct
Answer: False
True or False:
Activities that encourage a transition from Van Hiele's level zero to one include classifying shapes by
properties. Correct Answer: True
True or False:
Most addition and subtraction problem types found in textbooks are "join" and "separate" problems,
with results unknown. Correct Answer: True
True or False:
Any fact that is true for every parallelogram is also true for every square. Correct Answer: True
True or False:
In the elementary grades, studying patterns is the most prominent algebraic experience. Correct
Answer: 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. Correct Answer: False
True or False:
Most mathematical procedures can be taught through problem solving. Correct Answer: 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? Correct Answer: 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? Correct Answer:
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? Correct Answer: 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? Correct Answer: Separate, Start
Unknown
What is the first step needed to measure an object? Correct Answer: Decide on an attribute to be
measured
