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A teacher asks the following question to the class: Find a set of numbers whose mean is 40. Her question is

A teacher asks the following question to the class: Find a set of numbers whose mean is 40. Her question is Correct Answer an open-ended question to promote mathematical thinking

Questions refer to a problem or difficulty that needs to be solved by thinking and recalling the concept. There are different types of questions and the ';open-ended' question is one of them. The types of questions that are intended to raise the responders’ spirits a complete and significant response by expending their own topic awareness and state of mind.

Open-ended question

  • An open-ended question is a question that cannot be answered with a "yes" or "no" response, or with a static response.
  • Open-ended questions are phrased as a statement that requires a response.
  • Open-ended questions are also developed creativity among students.
  • For example:  
    • Tell me anything mathematical information you know about rectangles.
    • Find a set of numbers whose mean is 40.

Closed-Ended Question

  • A closed-ended question refers to any question for which has some limits.
  • This may be provided with some options from which to choose a response or a constraint will be applied to it.
  • Closed-ended questions are sometimes phrased as a statement that requires a response.
  • A closed-ended question contrasts with an open-ended question, which cannot easily be answered with specific information.
  • For example, 
    • What is the area of the rectangle whose one side is 5 cm and the perimeter is 30 cm?
    • List all prime numbers between 0 - 8.

Key PointsFind a set of numbers whose mean is 40.

  • Obviously, this Question can have many possible answers depending upon the thinking scale of the learner.
  • This Question is divergent in nature.

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