Mathematics — Pedagogical Issues — Practice

Question 1

Which of the following best describes mathematics as an academic discipline, in contrast to an empirical science like biology or physics?

Accepted Answer

B

Question 2

A teacher asks, 'Are these two triangles similar?' A student, thinking of 'similar' only in its everyday sense of 'looks alike,' answers based on rough visual impression rather than checking the angle and side-ratio conditions. This difficulty is best explained by

Accepted Answer

B

Question 3

The Position Paper on the Teaching of Mathematics (NCERT, 2006) uses the phrase 'mathematisation of the child's thought processes' to refer to

Accepted Answer

B

Question 4

A school's mathematics programme focuses solely on ensuring students can perform daily-life calculations (bill totals, change, basic measurement) while neglecting the development of logical reasoning and problem-solving ability. This programme is fulfilling only the

Accepted Answer

B

Question 5

According to the Position Paper, school mathematics has, for a large proportion of children, become

Accepted Answer

B

Question 6

A student consistently scores poorly on timed mathematics tests but demonstrates strong logical reasoning when solving similar problems untimed and one-on-one with a teacher. The most appropriate next step, given the aptitude-achievement distinction, is to

Accepted Answer

B

Question 7

Which of the following is LEAST consistent with the goals of upper-primary (Class VI-VIII) mathematics teaching as outlined in NCF 2005 and the Position Paper?

Accepted Answer

C

Question 8

A student, when asked to compare 0.4 and 0.25, states that 0.25 is bigger because '25 is bigger than 4,' ignoring decimal place value entirely. This is best classified as a

Accepted Answer

B

Question 9

A student correctly identifies that (3+4)×2 requires the bracket to be solved first, but then incorrectly computes 3+4 as 8 instead of 7, arriving at a wrong final answer despite understanding the order of operations perfectly. This is best classified as a

Accepted Answer

B

Question 10

After reviewing a student's last five subtraction problems, a teacher notices the student makes the identical borrowing mistake every time the tens digit is zero, but performs correctly otherwise. Rather than simply re-marking the answers wrong, the teacher plans a short focused lesson on regrouping across a zero. This teacher's approach best illustrates

Accepted Answer

B

Question 11

To help a maths-anxious Class VII student who struggles with negative numbers, a teacher first uses a number line and coloured counters to represent gains and losses, before introducing the symbolic notation '−3 + 5 = 2.' This remedial choice best reflects

Accepted Answer

B

Question 12

Which of the following classroom practices is most likely to contribute to mathematics anxiety in struggling learners?

Accepted Answer

B

Question 13

A short, ungraded quiz given midway through a chapter, used only to decide which topics need to be retaught before the class moves on, is an example of

Accepted Answer

C

Question 14

Two students attempt the same word problem. Student A sets up the correct equation and reasoning but makes a single arithmetic slip in the last step, arriving at a wrong final number. Student B writes only a final numerical answer with no working shown, which happens to be correct. Under an evaluation approach consistent with the Position Paper's recommendations, which outcome is most appropriate?

Accepted Answer

B

Question 15

Before formally stating the formula for the area of a triangle, a teacher has students cut a rectangle along its diagonal and observe that each resulting triangle is exactly half the rectangle's area, letting students arrive at the area relationship themselves before it is named and written symbolically. This approach best illustrates

Accepted Answer

C

Practice — Mathematics — Pedagogical Issues

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