True or False
Most United States textbooks publishers use the "show and explain" approach to teaching. Correct
Answer: True
True or False
In the elementary grades, studying patterns is the most prominent algebraic experience. Correct
Answer: True
True or False
Contextual problems use scenarios derived as much as possible from children's actual experiences.
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
The following problem is an example of a "combinations" type: Megan has 5 bags of cookies. There are 3
cookies in each bag. How many cookies does Megan have altogether? Correct Answer: False
True or False
The following problem is an example of a "compare, difference unknown" type: Connie has 12 marbles.
Jimmy has 5 marbles. How many more marbles does Connie have than Jimmy? Correct Answer: True
True or False
Rectangles with the same area can have different perimeters. Correct Answer: True
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
Most mathematical procedures can be taught through problem solving. Correct Answer: True
True or False
Counting involves one being able to produce the standard list of counting words in order and to connect
the sequence in a 1-to-1 correspondence with the items in the set being counted. 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
If a given parallelogram is not a rhombus, then its sides are not all congruent. Correct Answer: True
True or False
A rectangle is sometimes a rhombus. Correct Answer: True
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
A non-standard unit for length should be introduced to students before standard units are used. Correct
Answer: True
True or False
The following problem is an example of a "separate, start unknown" type: Terry had some stickers. He
gave ten to Tanya. He now has five left. How many stickers did he have to begin with? 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
Teachers should comment after every student response to a question. 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
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
When a student understands that a squares is a rectangle, the child is most likely at the analysis stage of
Van Hiele thought. Correct Answer: False
What are the characteristics of the Van Hiele levels of geometric thought? Correct Answer: The levels
are age independent.
When instruction or language is at a level higher than that of the students, students will not be able to
understand the concept being developed.