Draw pictures to represent the following:
i) Comparing two objects which look different in size but have the same volume.
ii) Measuring the area of an irregular figure.
iii) 0.2 + 0.02 + 0.95
iv)
v)
i.
ii. Let the irvegular figwe is
Total area = area of 1+ area of 2+ area of 3 area of + area
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Draw pictures to represent the following:
i) Comparing two objects which look different in size but have the same volume.
ii) Measuring the area of an irregular figure.
iii) 0.2 + 0.02 + 0.95
iv)
v)
Explain the differences in the following processes with the help of suitable
examples (apart from the examples given in the material).
i) ‘Concrete to abstract’ and ‘particular to general’.
ii) Inductive and deductive methods of proof.
Manisha always performs the division algorithm as follows:
In which step of the Division algorithm has she made the error? What are the possible reasons for committing the error. How do you help her to apply the algorithm in the correct way.
A child may not be able to perform a task simply because of language incompetence, and not cognitive incompetence. Illustrate the difference between language incompetence and cognitive incompetence while performing a Mathematical task with suitable examples.
Developing an understanding of “variable” is crucial for developing an
understanding of “algebra”. Write three major hurdles children face while learning the concept of variable. Suggest a game that can be given to a group of children which helps them to overcome any one difficulty.
Explain the 5 levels of development in geometric understanding proposed by Van Hieles.
Illustrate you explanation in the context of learning the concept of “size”.
Estimation is a difficult skill to master. Explain why it is difficulty in the context of measuring height. Suggest an activity to assess that a group of children have mastered the skill for estimation. Explain why this activity is an “assessment activity.