Other Math Answers

The ability to observe patterns and make a conjecture based on these patterns is an

important aspect of mathematical learning. Describe two distinct activities that would

help your students to develop this ability.

What does classification means, explain with a suitable example how the ability of classification forms a basis for the development of logical and mathematical concept.

Mathematics learning is not linear, it is spiral in nature. Explain this statement using

distinct examples from different areas of Mathematics.

Explain the process of “generalization” in mathematics, using an example related to

understanding volume. Further, explain how this process differs from the process of

“Particularization”.

Quebec is the only province in Canada where the one official language is French. According to a recent census, 79.7% of Quebec residents identify French as their mother tongue. You select an SRS of 165 Quebec residents. What is the probability that less than 80% of them identify French as their mother tongue? (Identify the mean, standard deviation, justification that the large counts condition is met, z-score, and probability).

Explain sexagesimal system used for operations on time. Give one example each of the problems involving subtraction and addition of time showing the error children make because of the sexagesimal system. How would you help children correct their error.

Explain sexagesimal system used for operations on time. Give one example each of the problems involving subtraction and addition of time showing the error children make because of the sexagesimal system. How would you help children correct their error.

Consider arterial blood viscosity µ = .0 025 poise. If the length of the artery is 5.1 cm, radius

3

8 10−

× cm. and 3

1 2 P = P − P = 4×10 dynes/ 2

cm then find (i) maximum peak velocity of

blood and (ii) the shear stress at the wall.

Give one example each, with justification, to support the following statements. (6)

i) For developing mathematical ability, children should pose problems and not

merely answer them

ii) Children know some mathematics before they enter formal school.

iii) Children learn by experiencing things.

The huge volcanic eruption on the island of Krakatoa, Indonesia, in 1883 was heard on Rodrigues Island, 4,782 km (2,970 miles) away. How long did it take the sound to travel to Rodrigues? (Assume the air temperature is 20°C.)