Identify the reason why the equal sign can confuse children.

Relational symbol not operations.

What is the importance of students knowing the commutative property?

Helps students master basic facts; reduces the number of facts to memorize

Which problem represents the separate, start unknown structure?

Mary had some books with 2 fiction. She has 8 books. How many did she start

Identify the problem that represents the join, result unknown structure.

Mary had 3 books before she checked out 2 more. How many all together?

The key word strategy sends a wrong message about problem solving. Identify the statement below that support key word st

Encourage children to use a list of key words with corresponding operations

What statement below is the description of a Part-part-whole?

Two parts that are conceptually or mentally combined into one whole.

Identify the statement that is describes the importance for children to know the relationship between addition and subtr

Using the same models or pictures.

Problems with the join and separate structures, with start unknown, are challenging for students. Why?

Children can act out the situation.

Which problem represents the compare, difference unknown structure?

Mary had 9 books and Jim had 4. How many more did Mary have?

What statement identifies the importance of using contextual problems as a primary teaching tool?

Children construct richer understanding of the operations.

All of the statements below are related to teaching multiplication and division EXCEPT:

Think addition as multiplication and take away as division.

A good lesson built on a context or related to a story would have all of the qualities listed below EXCEPT:

Students can easily find a solution with mental mathematics.

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Chapter 8 Review

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Chapter 8: Developing Meanings for the Operations

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Questions 13

Answers

1
Identify the reason why the equal sign can confuse children.
Means the answer is coming up.
Relational symbol not operations.
Operations symbol not relational.
Means the answer is the same as.
2
What is the importance of students knowing the commutative property?
Should be demonstrated with problems that have the same sums but different
Is a term that even very young students should memorize?
Helps students master basic facts; reduces the number of facts to memorize
Applies to addition and subtraction.
3
Which problem represents the separate, start unknown structure?
Mary had some books with 2 fiction. She has 8 books. How many did she start
Mary had 9 books and Jim had 4. How many more did Mary have?
Mary had 5 books before she returned 2 of them. How many does she have now?
Mary had 3 books before she checked out 2 more. How many all together?
4
Identify the problem that represents the join, result unknown structure.
Mary had 9 books and Jim had 4. How many more did Mary have?
Mary had 4 nonfiction books and 2 fiction. How many more nonfiction book?
Mary had 5 books before she returned 2 of them. How many does she have now?
Mary had 3 books before she checked out 2 more. How many all together?
5
The key word strategy sends a wrong message about problem solving. Identify the statement below that support key word st
Encourages children to ignore meaning and structure of problems.
Encourage children to use a list of key words with corresponding operations
Many problems do not have key words.
Many problems have key words that may be misleading.
6
What statement below is the description of a Part-part-whole?
The change is the amount being removed.
Initial action of joining start amount,a change amount and resulting amount
Involve comparison of two quantities.
Two parts that are conceptually or mentally combined into one whole.
7
Identify the statement that is describes the importance for children to know the relationship between addition and subtr
Using the same models or pictures.
Using the associative property.
Writing symbolic equations.
Mental mathematics.
8
Problems with the join and separate structures, with start unknown, are challenging for students. Why?
Children can model the physical action.
Children can act out the situation.
Children cannot use counters for the initial amount.
Children cannot grasp a quantity represents two things at once.
9
Which problem represents the compare, difference unknown structure?
Mary had 3 library books before she checked out 2 more. How many total?
Mary had 5 library books before she returned 2 of them. How many now?
Maryann had 4 nonfiction books and 2 fiction. How many books does she have?
Mary had 9 books and Jim had 4. How many more did Mary have?
10
What statement identifies the importance of using contextual problems as a primary teaching tool?
Children connect problems to school mathematics.
Children construct richer understanding of the operations.
Children identify the structure of the situations.
Children demonstrate procedural fluency.
11
All of the statements below are related to teaching multiplication and division EXCEPT:
Think addition as multiplication and take away as division.
What to do with remainders.
Symbolism as a way to record thinking.
Physical models, drawings and equations.
12
What number property is illustrated by the problem 16 × 12 = 16(10 + 2) = 160 + 32 = 192?
Commutative.
Distributive
Identity.
Associative.
13
A good lesson built on a context or related to a story would have all of the qualities listed below EXCEPT:
Students can easily find a solution with mental mathematics.
Designed to anticipate and develop mathematical models of the real world.
Students can find mistakes in other's written solutions.
Words, pictures and numbers are used to explain solution.

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