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Mathematical Education and the Standards for Mathematical Practice

Description: Mathematical Education and the Standards for Mathematical Practice Quiz
Number of Questions: 15
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Which of the following is NOT a Standard for Mathematical Practice?

  1. Make sense of problems and persevere in solving them.

  2. Reason abstractly and quantitatively.

  3. Construct viable arguments and critique the reasoning of others.

  4. Use appropriate tools strategically.

  5. Memorize formulas and procedures.


Correct Option: E
Explanation:

Memorizing formulas and procedures is not a Standard for Mathematical Practice. The Standards for Mathematical Practice are a set of eight mathematical habits of mind that students should develop in order to be successful in mathematics.

What does it mean to "make sense of problems and persevere in solving them"?

  1. To understand the problem and find a solution.

  2. To give up easily if you don't understand the problem.

  3. To ask for help from a teacher or classmate.

  4. To use a calculator to solve the problem.


Correct Option: A
Explanation:

Making sense of problems and persevering in solving them means that students should be able to understand the problem, identify the relevant information, and develop a plan for solving the problem. They should also be able to persevere in solving the problem, even if it is challenging.

What does it mean to "reason abstractly and quantitatively"?

  1. To use numbers and symbols to represent real-world situations.

  2. To use manipulatives to solve math problems.

  3. To draw pictures to represent math problems.

  4. To memorize math facts.


Correct Option: A
Explanation:

Reasoning abstractly and quantitatively means that students should be able to use numbers and symbols to represent real-world situations. They should also be able to use mathematical operations to solve problems and make predictions.

What does it mean to "construct viable arguments and critique the reasoning of others"?

  1. To be able to explain your own mathematical thinking.

  2. To be able to identify errors in the mathematical thinking of others.

  3. To be able to come up with different ways to solve a math problem.

  4. All of the above.


Correct Option: D
Explanation:

Constructing viable arguments and critiquing the reasoning of others means that students should be able to explain their own mathematical thinking, identify errors in the mathematical thinking of others, and come up with different ways to solve a math problem.

What does it mean to "use appropriate tools strategically"?

  1. To use the right tool for the job.

  2. To use a calculator when it is appropriate.

  3. To use manipulatives when it is appropriate.

  4. To use technology when it is appropriate.


Correct Option:
Explanation:

Using appropriate tools strategically means that students should be able to use the right tool for the job, whether it is a calculator, manipulatives, or technology.

What does it mean to "attend to precision"?

  1. To be careful when solving math problems.

  2. To check your work for errors.

  3. To use the correct mathematical terminology.

  4. All of the above.


Correct Option: D
Explanation:

Attending to precision means that students should be careful when solving math problems, check their work for errors, and use the correct mathematical terminology.

What does it mean to "look for and make use of structure"?

  1. To look for patterns in math problems.

  2. To use properties of math to solve problems.

  3. To break down complex problems into simpler ones.

  4. All of the above.


Correct Option: D
Explanation:

Looking for and making use of structure means that students should look for patterns in math problems, use properties of math to solve problems, and break down complex problems into simpler ones.

What does it mean to "look for and express regularity in repeated reasoning"?

  1. To look for patterns in math problems.

  2. To generalize math concepts and properties.

  3. To use inductive reasoning to make predictions.

  4. All of the above.


Correct Option: D
Explanation:

Looking for and expressing regularity in repeated reasoning means that students should look for patterns in math problems, generalize math concepts and properties, and use inductive reasoning to make predictions.

Which of the following is an example of a mathematical practice?

  1. Memorizing the multiplication table.

  2. Using a calculator to solve a math problem.

  3. Drawing a picture to represent a math problem.

  4. Explaining your mathematical thinking to someone else.


Correct Option: D
Explanation:

Explaining your mathematical thinking to someone else is an example of a mathematical practice. The Standards for Mathematical Practice are a set of eight mathematical habits of mind that students should develop in order to be successful in mathematics.

Which of the following is NOT an example of a mathematical practice?

  1. Using a calculator to solve a math problem.

  2. Drawing a picture to represent a math problem.

  3. Memorizing the multiplication table.

  4. Constructing viable arguments and critiquing the reasoning of others.


Correct Option: C
Explanation:

Memorizing the multiplication table is not an example of a mathematical practice. The Standards for Mathematical Practice are a set of eight mathematical habits of mind that students should develop in order to be successful in mathematics.

Which of the following is an example of a mathematical practice?

  1. Using a calculator to solve a math problem.

  2. Drawing a picture to represent a math problem.

  3. Memorizing the multiplication table.

  4. Constructing viable arguments and critiquing the reasoning of others.


Correct Option: D
Explanation:

Constructing viable arguments and critiquing the reasoning of others is an example of a mathematical practice. The Standards for Mathematical Practice are a set of eight mathematical habits of mind that students should develop in order to be successful in mathematics.

Which of the following is an example of a mathematical practice?

  1. Using a calculator to solve a math problem.

  2. Drawing a picture to represent a math problem.

  3. Memorizing the multiplication table.

  4. Looking for and expressing regularity in repeated reasoning.


Correct Option: D
Explanation:

Looking for and expressing regularity in repeated reasoning is an example of a mathematical practice. The Standards for Mathematical Practice are a set of eight mathematical habits of mind that students should develop in order to be successful in mathematics.

Which of the following is an example of a mathematical practice?

  1. Using a calculator to solve a math problem.

  2. Drawing a picture to represent a math problem.

  3. Memorizing the multiplication table.

  4. Attending to precision.


Correct Option: D
Explanation:

Attending to precision is an example of a mathematical practice. The Standards for Mathematical Practice are a set of eight mathematical habits of mind that students should develop in order to be successful in mathematics.

Which of the following is an example of a mathematical practice?

  1. Using a calculator to solve a math problem.

  2. Drawing a picture to represent a math problem.

  3. Memorizing the multiplication table.

  4. Looking for and making use of structure.


Correct Option: D
Explanation:

Looking for and making use of structure is an example of a mathematical practice. The Standards for Mathematical Practice are a set of eight mathematical habits of mind that students should develop in order to be successful in mathematics.

Which of the following is an example of a mathematical practice?

  1. Using a calculator to solve a math problem.

  2. Drawing a picture to represent a math problem.

  3. Memorizing the multiplication table.

  4. Reasoning abstractly and quantitatively.


Correct Option: D
Explanation:

Reasoning abstractly and quantitatively is an example of a mathematical practice. The Standards for Mathematical Practice are a set of eight mathematical habits of mind that students should develop in order to be successful in mathematics.

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