What does the "Concrete" stage of learning involve?

Students manipulate hands-on, concrete materials

Students draw and observe diagrams

Students work with numbers and mathematical symbols

Students watch the teacher without interaction

The students in Mr. Smith's class are working on math concepts using representations. "Representational" learning doesn't involve...?

Students watch the teacher touching and moving hands-on materials

Ms. Jones is focusing on the "Abstract" stage of learning the math concept of addition. This means she is having students...

Working with numbers and mathematical symbols

Using concrete materials to understand concepts

If you want your students to be fluent in mathematics, this means they will be ...?

Able to apply procedures efficiently, flexibly, and accurately

Writing without grammatical errors

A child that is efficient in mathematics or with a specific math concept can ...?

Solve the problem in a reasonable amount of time

Solve the problem with the least amount of effort

Get the correct answer regardless of time

Use the most complex method to solve the problem

What does 'Flexibility' imply in the context of math material?

Knowing multiple procedures and choosing one that helps solve the problem

Changing the problem to make it easier

According to NCTM's Effective Teaching Practices, what is the purpose of establishing mathematics goals?

To attend to all three components of fluency

To provide a structure for the mathematics lesson

To facilitate meaningful mathematical discourse

To support productive struggle in learning mathematics

What is emphasized when implementing tasks that promote reasoning and problem-solving in fluency instruction?

The selection and use of different strategies

The use of mathematical representations

The discussion and explanation of strategy selection

The development of procedural fluency from conceptual understanding

How are strategies connected to the use and connection of mathematical representations in fluency instruction?

By allowing students to see the inherent mathematical relationships

By facilitating meaningful mathematical discourse

By supporting productive struggle in learning mathematics

What is the role of facilitating meaningful mathematical discourse in fluency instruction?

To give students opportunities to discuss and explain strategy selection, efficiency, and reasonableness

To help students develop strategies from understanding of concepts

To elicit and use evidence of student thinking

To ask students to explain strategy selection, flaws, and relationships

What is the goal of supporting productive struggle in learning mathematics in fluency instruction?

To ensure students have time to develop their own ideas about utility with strategies

To facilitate meaningful mathematical discourse

To elicit and use evidence of student thinking

What aspects are assessed in a variety of ways when eliciting and using evidence of student thinking in fluency instruction?

Efficiency, flexibility, accuracy, and reasonableness

Strategy selection, flaws, and relationships

Procedural fluency and conceptual understanding

Which of the following is NOT a reason for why kids struggle with math facts?

Inadequate knowledge about procedures

Mr. Waters thinks several of his students are showing mastery of their addition and subtraction facts. What does mastery in the context of learning math facts mean?

Using objects or verbal counting to count on or count all together

Using known information to determine the correct answer

What is the strategy associated with the fact strand "Part-part-whole: foundational skills" in addition and subtraction?

Break apart whole number, no mathematical symbols.

Using 10-frames to build mastery and memorization of facts that total 10.

Identify the greater number and make 10 from the lesser valued number.

What does the "0 rule" state in the context of addition and subtraction?

Any number plus or minus zero always equals that number.

Any number plus or minus one always equals that number.

Any number plus or minus zero equals a new number.

Any number plus or minus zero must be counted again.

What is the approach of Cognitively Guided Instruction (CGI) based on?

The developmental stages of children's math reasoning

The memorization of math formulas

The use of technology in math education

What is the goal of Cognitively Guided Instruction (CGI)?

Children should become independent problem solvers

Children should learn to use calculators efficiently

Children should memorize multiplication tables

Children should follow instructions without questioning

What should be used to support problem-solving in the classroom?

Concrete objects, gestures, movements, drawings

What should students do to improve their problem-solving skills?

Identify what's happening and remove unnecessary information

Stick to one specific operation

Use as much vocabulary as possible

What should teachers avoid when teaching problem-solving strategies?

Relying on "key word" strategies

Encouraging students to think out loud

Removing unnecessary vocabulary

What should teachers ensure students understand when solving problems?

What is being asked in the problem

The specific operation to focus on

How to use key words effectively

What should teachers not focus on excessively when teaching problem-solving?

Encouraging students to think out loud

Removing unnecessary information

What technique should teachers use to help students understand problem-solving processes?

Discourage students from asking questions

Only write the solution on the board

What is explicit instruction?

A way to teach skills or concepts to students using direct, structured instruction

A method of teaching that is unstructured and informal

A teaching style that allows students to discover concepts on their own

A form of assessment used to grade students

What does explicit instruction help to make clear?

The lessons by modeling for students how to start and succeed on a task and giving them ample time to practice

The consequences of not completing homework

The school's rules and regulations

Which of the following is encouraged in explicit instruction?

Multiple opportunities for using manipulatives and a variety of experiences to practice

Frequent use of time tests and games

Teaching math facts in order/sequence

Minimal practice time for students

Ms. Bland is preparing a lesson on using algorithms for multidigit addition. What should be avoided according to the explicit instruction approach?

Use of technology in the classroom

Week 9 Quiz Quiz

51 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Ms. Sweet is using number strings to introduce the concept of +/-2. What is a number string?

A series of unrelated math questions

A series of related math questions that build towards fluency in a particular strategy

A random collection of math problems

A method for teaching history

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the focus of number strings?

Memorizing math facts

Exploring relationships between the questions and focusing on mental math strategies

Learning advanced calculus

Practicing physical education through math

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the name given to the numbers that are added together in an addition equation?

Minuend

Subtrahend

Addend

Difference

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What do you call the result of an addition equation?

Minuend

Subtrahend

Addend

Sum

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a subtraction equation, what is the name of the number from which another number is subtracted?

Minuend

Subtrahend

Addend

Sum

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which is an example of the Identity Property of Addition?

(2 + 4) + 9 = 2 + (4 + 9)

3 + 0 = 3

8 x 1 = 8

6 + 2 = 2 + 6

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which is an example of the Associative Property of Addition?

(5 + 9) + 3 = 5 + (9 + 3)

2 + (-2) = 0

6 + 5 = 5 + 6

4 + 0 = 4

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Week 9 Quiz

Ms. Sweet is using number strings to introduce the concept of +/-2. What is a number string?

What is the focus of number strings?

What is the name given to the numbers that are added together in an addition equation?

What do you call the result of an addition equation?

In a subtraction equation, what is the name of the number from which another number is subtracted?

Which is an example of the Identity Property of Addition?

Which is an example of the Associative Property of Addition?

What is the term for the number that is subtracted in a subtraction equation?

What is the result of a subtraction equation called?

Which Property of Addition does 7 + 0 = 7 illustrate?

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