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pedagogy-of-mathematics-l2 MCQ - Practice Questions with Answers

Solve 30 pedagogy-of-mathematics-l2 questions for RAS/RPSC preparation.

Practice questions

Q1Arrange Bruner's classroom movement in the usual learning sequence.

A Symbolic work, then action with objects, then drawings
B Drawings, then formal notation, then physical action
C Action with objects, then images or diagrams, then symbols
D Memorised rule, then test, then correction
Explanation

Bruner's useful classroom sequence moves from action to image to symbol, such as using fraction strips, then diagrams, then notation. The distractors either begin too abstractly or describe testing and drill rather than representation.

Q2Which set best matches the nature of mathematics at the middle-stage level?

A Formula memory, fast copying, neat handwriting and silent practice
B Guesswork, personal opinion, approximation only and answer matching
C Pattern, relation, abstraction, precision and logical proof
D Storytelling, drawing, recitation and speed drills
Explanation

The nature of mathematics is grounded in patterns, relations, abstraction, precision and logical proof. Memory, speed and attractive presentation can support classwork, but they do not define mathematical thinking.

Q3Which sequence best reflects Polya-style problem solving for an upper-primary word problem?

A Pick an operation, compute quickly, and write the final answer.
B Understand the problem, make a plan, carry it out, and look back.
C Look back, carry out, make a plan, then read the problem.
D Make a plan, look back, understand the problem, then compute.
Explanation

Polya treats problem solving as a four-phase cycle — understand, plan, carry out, look back — and the look-back phase is essential so the learner checks whether the answer fits the situation.

Q4Which RBSE-listed item most directly asks the teacher to make learners justify steps instead of memorising rules?

A Nature of Mathematics and logical thinking
B Speed and accuracy in mental arithmetic
C Memorising standard formulae for examinations
D Neat copying of solved board examples
Explanation

The stem asks for justification of steps. The RBSE strand 'Nature of Mathematics and logical thinking' centres reasoning, so a learner must explain why a rule works rather than recite it.

Q5Which option is an example of community mathematics for teaching percentage in Classes 6 to 8?

A Asking learners to copy twenty percentage formulas from the board
B Using a local shop bill to discuss discount, tax and total amount
C Beginning with a formal proof of every percentage identity
D Giving only a final test on percentage calculations
Explanation

Community mathematics uses familiar local measurements, bills, patterns or data to make mathematical ideas meaningful. A shop bill naturally supports percentage through discount, tax and total amount, while copying, formal proof alone or final testing do not provide that context.

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More questions

6Which option is the best example of community mathematics for Class 7 percentage?

ASolving twenty textbook percentage sums from the exercise.
BUsing a local shop bill to discuss marked price, discount and final payment.
CMemorising the percentage-to-fraction conversion table.
DWatching the teacher solve a percentage example on the board.

7A teacher wants to check whether learners have instrumental or relational understanding of the formula for area of a rectangle. Which question is most suitable?

AWrite the formula for area of a rectangle five times.
BCalculate the area when length is 8 cm and breadth is 5 cm.
CState whether area is measured in square units.
DUse a grid diagram to explain why multiplying length and breadth counts the square units inside the rectangle.

8Consider the following statements about the nature of mathematics. Statement I: It treats proof and precision as central to mathematical argument. Statement II: It is mainly the ability to remember a formula and apply it without explanation. Which option is correct?

AStatement I is true, but Statement II is false
BStatement I is false, but Statement II is true
CBoth Statement I and Statement II are true
DBoth Statement I and Statement II are false

9Which option best describes the nature of mathematics at the upper-primary stage?

AA fixed collection of formulas to be memorised before solving exercises
BPattern, relation, abstraction, precision and logical argument
CSpeed in numerical calculation without discussion of reasoning
DUse of difficult symbols as early as possible

10Karan says every quadrilateral with equal sides must be a square. Which activity best tests this idea?

ASorting square, rhombus and kite cards by side and angle conditions.
BAsking Karan to write the definition of a square ten times.
CMeasuring only the sides of several squares with a ruler.
DDrawing one large square neatly on chart paper.

11In Vygotsky's classroom lens, what does the zone of proximal development describe for an upper-primary mathematics learner?

AOnly the work that the learner can already complete without any help
BThe range where the learner can succeed with suitable scaffolding but not yet alone
CA fixed mental stage that is the same for every learner in one class
DA final test score used to rank learners after a unit

12Consider the following statements about the REET Level 2 Mathematics and Science Paper II pedagogy block. Statement I: RBSE places Pedagogy of Mathematics in the Level 2 Mathematics and Science Paper II block. Statement II: The mathematics part contributes 30 multiple-choice questions and 30 marks within this section.

AOnly Statement I is correct
BOnly Statement II is correct
CBoth Statement I and Statement II are correct
DNeither Statement I nor Statement II is correct

13Asha solves 2(x+3) as 2x+3. What is the best first assessment note?

AShe has forgotten the order of operations entirely.
BShe has not distributed multiplication to both terms inside the bracket.
CShe has confused addition with multiplication of like terms.
DShe has made only a copying slip from the question.

14Which pair best represents community mathematics for an upper-primary percentage lesson?

AA local shop bill and a discount chart
BA list of formulas copied from the board
CA timed test with twenty unrelated sums
DA definition of percentage written twice

15Which sequence best represents remedial teaching after a learner writes 2(x + 3) = 2x + 3?

AIdentify the misconception, use an area diagram or grouping representation, ask the learner to explain, then practise similar examples
BMark the answer wrong, give the correct expansion, and move to the next exercise
CAsk the learner to memorise ten identities before discussing this error
DGive a final unit test because the error proves the topic is complete

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