1. Do you agree with the following statements Give reasons for your answers.
Tables are best learnt by repetition through joyful singing. The teacher must introduce children to any concept by giving its definition. The product of two fractions can be larger than either of them. If a train, on an average, is 15 minutes late, a person who wants to catch it can reach the station up to 10 minutes after the scheduled time. Normally distributed data has at least two modes. .

2.(a) What would a learner in Class VII be expected to have learnt about if her teacher had followed: The banking model

(ii) The constructivist model What does the ability to conserve mean? Give an activity to assess whether or not a child has acquired the ability to conserve volume. Further, would a child with the ability to conserve volume also have the ability to measure volume? Give reasons for your answer.

3.(a) What is an algorithm Give an algorithm for the division of one fraction by another. In this context, also explain the difference between learning the concept and learning the algorithm.

(b) What do each of the following mean Explain them, also giving an example of each: Glide symmetry

(ii) The process of disproving

4.(a) Give a divisibility rule for 11. Also give the mathematical logic behind why the rule works.

(b) Which of the following would happen in a constructivist classroom? Give reasons for
your answers. Children are making shapes of their choice using tangrams.
Children are given a problem and its solution by the teacher. They are given similar problems to do as homework.

(iii) Children of Class 4 are given a lot of things and asked to group them in different ways based on different criteria used.
What is a mathematical statement Give on