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Question

On the basis of the information given in the statement, which of the suggested course of action logically follows ?
Statement : Anamika does conceptual error while solving problems on mensuration.
Course of Action :
(I) Teacher gives a lot of hands-on and visual practice to Anamika.
(II) Teacher provides the scope of discussion while giving open-ended questions.
Choose the correct option.

The correct answer is
Both course of action (I) and (II)

Addressing Anamika's Mensuration Conceptual Errors

The statement highlights that Anamika encounters conceptual errors while working on mensuration problems. Mensuration deals with the measurement of geometric figures, including calculating areas, volumes, and perimeters. Conceptual errors mean she might misunderstand the fundamental principles or formulas, not just make calculation mistakes.

Evaluating Course of Action (I)

Course of Action (I) suggests that the teacher should provide Anamika with a lot of hands-on and visual practice. This approach is highly relevant for mensuration because:

  • Mensuration concepts often involve shapes and spatial reasoning, which benefit greatly from visual aids like diagrams, models, or drawings.
  • Hands-on activities, such as using manipulatives (like blocks to understand volume) or drawing shapes to calculate area, can make abstract concepts more concrete.
  • This practical engagement helps solidify understanding and directly tackles misunderstandings of geometric properties and measurement techniques.

Therefore, providing hands-on and visual practice is a logical step to correct conceptual errors in mensuration.

Evaluating Course of Action (II)

Course of Action (II) proposes that the teacher should offer opportunities for discussion using open-ended questions. This is also a valuable strategy because:

  • Open-ended questions encourage students to think critically, explore different problem-solving methods, and explain their reasoning.
  • Discussion allows Anamika to articulate her thought process, helping the teacher identify the specific nature of her conceptual errors.
  • By discussing problems, students can learn from each other and gain a deeper, more flexible understanding of the concepts involved.

This method promotes active learning and helps clarify underlying concepts that might be causing the errors.

Conclusion on Suggested Actions

Both Course of Action (I) and Course of Action (II) offer distinct yet complementary methods to help Anamika overcome her conceptual difficulties in mensuration. Visual and hands-on practice addresses the concrete nature of the subject, while discussion and open-ended questions foster deeper conceptual understanding and critical thinking. Combining these strategies provides a comprehensive approach to resolving her learning challenges.

Thus, both courses of action logically follow from the statement.

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Important Questions from Mensuration (Teaching)

  1. The base diameter of a cylinder is 21 cm and the height is 28 cm, then:
    (A) Radius of cylinder = 10.5 cm
    (B) Volume = 12936 cm³
    (C) Curved Surface Area = 1848 cm²
    (D) Total surface area = 2541 cm²
    Which of the following is/ are correct?
    Choose the correct answer from the options given below:
  2. A teacher asked the children to cut out six squares of 'one' unit each and then asked, "How many different shapes can you make using these squares? Which shape formed would have the maximum perimeter?" The least appropriate objective of this activity is
  3. The numerical values of perimeter and area of a square are equal. The length of the side of the square is :
  4. A cubical tank of side 10 m is open at the top. The inner surfaces of the tank including its base are to be painted at the rate of ₹5 per square metre. Find the total cost of painting.

  5. A solid cylinder has a radius of 7 cm and height of 10 cm. Find its total surface area. (Use \(\pi = \dfrac{22}{7}\))

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