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A mathematics teacher posed the following question to her class: "Take four digits 7, 8, 4, 6. Make the smallest and the largest four-digit number such that no digit is repeated in them." After the various responses of the students, she asked the students, " Think about the arrangement of the digits in both the numbers you have formed. Can you say how the largest and the smallest number is formed? Write down your procedure." Which of the following statements is most appropriate in the above context?

A mathematics teacher posed the following question to her class: "Take four digits 7, 8, 4, 6. Make the smallest and the largest four-digit number such that no digit is repeated in them." After the various responses of the students, she asked the students, " Think about the arrangement of the digits in both the numbers you have formed. Can you say how the largest and the smallest number is formed? Write down your procedure." Which of the following statements is most appropriate in the above context? Correct Answer the teacher wants to understand the students' thinking process involved in the answers given by them.

Mathematics is subject which involves a lot of thinking processes, students should always be kept busy in some or other thinking processes by the teacher to improve their analytical and thinking skills. Key Points

A mathematics teacher should frequently

  • Giving tasks to students which involve thinking.
  • Try to understand the thinking process of students so that required further steps can be planned according to their thinking process.
  • Change methods of teaching according to the needs and thinking capacity of students.
  • Frame questions that involve divergent thinking apart from the same old formula-based questions.

Hence as given above the teacher by posing a different question wants to understand the students' thinking process involved in the answers given by them.

Related Questions

The following coding system shows the letter codes for numbers. Excluding the exceptions mentioned below, the digits in the question are to be transformed into letter codes as follows: Digit 0 1 2 3 4 5 6 7 8 9 Letter Code A B C D E F G H I J Exceptions: i. If a number begins with a nonzero even digit, that digit should be coded as N. ii. If a number begins with a nonzero odd digit, that digit should be coded as P. iii. If a number begins and also ends with non-zero even digits, those two digits at the extreme ends should be coded as Q. iv. If a number begins and also ends with nonzero odd digits, those two digits at the extreme ends should be coded as W. v. If a number's middle digit is a multiple of 2 that digit should be coded as Z. Barring these exceptions, the other digits should be codified as per the above-mentioned letter codes. Find the appropriate code for the following number-group 3214067
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A middle school teacher posed the following question to the class: "Using the digits 2,3,6 and 9 only once make a decimal number closest to 64" Student A responded: "Its 62.39" Student B responded: "I think I can arrange the digits again to get a number that is more closer to 64" Which of the following statements is/are correct in the above context? (a) The question assesses the students on their ability to compare two decimal numbers. (b) The response of student B is wrong as 62.39 s the correct answer. (c) There can be multiple answer to the given question. (d) The teacher can initiate the discussion and let students critically analyse the reasoning of others. Choose the correct option.
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#1 : The four women seem to agree that the plate starts out with the letter J.
#2 : Three of them agree that the plate ends with 12L.
#3 : Three of them think that the second letter is X, and a different three think that the third letter is K.

The four license plate numbers below represent what each of the four women thinks she saw. Which one is most likely the license plate number of the taxi?
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