[PDF] Questions to Elicit Student Thinking





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4 Math: Problem-Solving in Functions and Algebra

24 oct. 2017 options please contact CUNY's HSE Professional Development Team at: ... n Math has little to do with “me” (except in terms of money).



Mathematics 1

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SOLVING EQUATIONS WITH EXCEL

Let us consider the case where we wish to obtain the root of the function. 2 3 4. i.e.



Questions to Elicit Student Thinking

How can you convince me that your answer makes sense? • Have you answered the question? • What were the mathematical ideas in this problem? • What did you try 



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mathematical ideas clearly can help you advance in your career. decide to type the equations please be aware that variables in equations and formulas.



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(for example Math 1110 and Math 1120 use the same text book -The “help me solve this” button works the problem out step by step with you. You.



SAT Study Guide 2020 - Chapter 20: Sample Math Questions

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main goal in teaching mathematical problem-solving is for During elementary basic math was taught to us. Read what is the problem



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My learning in mathematics enables me to: develop essential numeracy skills which will allow me to participate fully ... solving a problem explaining.



Improving Mathematical Problem Solving in Grades 4 Through 8

aspx#pubsearch. Page 3. IES Practice Guide. NCEE 2012-4055. U.S. DEPARTMENT OF EDUCATION.

Questions to Elicit Student Thinking

(Math Solutions)

Getting Started

What is this problem about?

Would you please explain that in your own words?

What do you know?

What problems have you solved that are similar?

Where can you begin?

While Working

What have you already tried?

How did you organize your information?

Do you see any patterns or relationships that might help you solve this? Can you make a drawing or model to explain your thinking?

Can you make a prediction?

What do you need to do next?

Is there another way to (draw, explain or say) that?

Reflecting About the Solution

How do you know your solution is reasonable?

How can you convince me that your answer makes sense?

Have you answered the question?

What were the mathematical ideas in this problem?

What did you try that did not work?

Is that the only possible answer?

How do you know you have solved the problem?

How did you know you were finished?

Responding to Help Clarify Thinking

Tell me more.

Can you explain that in a different way?

Would this method work in other problems?

Is there a more efficient strategy?

Is there another strategy that would work?

How could you help another student without telling them the answer?

The Art of Questioning in Mathematics

The following is a set of questions, which may be helpful in guiding inquiry as an instructional strategy to deepen and expand students' mathematical thinking and problem-solving abilities. Help student work together to make sense of mathematics: Who agrees? Disagrees? Who will explain why or why not? Who has the same answer, but a different way to explain it? Who has a different answer? What is your answer and how did you get it? Explain to your partner your understanding of what was just said.

Convince us that makes sense.

Help student learn to reason mathematically:

Does that always work? Why or why not?

Is that true for all cases? Explain.

What is a counter example for this solution?

How could you prove that?

What assumptions are you making?

Help student learn to conjecture, invent, and solve problems:

What would happen if ___________? What if not?

Do you see a pattern? Explain.

What about the last one?

How did you think about the problem?

What decision do you think he/she should make?

What is alike and what is different about your method of solution and his/hers? Why? Help student connect mathematics, its ideas, and its applications:

How does this relate to ___________?

What ideas that we have learned before were useful in solving this problem? What problem have we solved that is similar to this one? How are they the same? How are they different? What uses of mathematics did you find in the newspaper last night?

What example can you give me for ___________?

Excerpt from NCTM Professional Teaching Standards

Learn more at National Council for Teachers of Mathematicsquotesdbs_dbs10.pdfusesText_16
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