MCQ

Part-III Teaching Methods MCQ - Practice Questions with Answers

Solve 234 Part-III Teaching Methods questions for RAS/RPSC preparation.

Practice questions

Q1A mathematics teacher connects ratio and proportion with maps, scale drawings and daily-life comparisons. Which academic quality is shown here?

A Neglect of conceptual understanding

B Ability to relate mathematical ideas to real contexts

C Preference for rote memorisation of formulae

D Avoidance of applications in mathematics

Explanation

Academic quality in mathematics teaching includes seeing connections among concepts and their applications. When a teacher links ratio and proportion with scale drawings and comparisons, learners can understand the concept as useful mathematical structure.

Q2A mathematics teacher has completed the unit on quadratic equations and wants to know whether students can factorise, use the formula, and interpret roots before starting progressions. Which assessment is most appropriate?

A A personality inventory to identify students' attitude towards mathematics

B A diagnostic test covering only students who failed in the annual examination

C A unit test based on the objectives and content of the quadratic equations unit

D An achievement test covering the whole mathematics syllabus of the year

Explanation

A unit test is prepared for a definite instructional unit and is administered soon after teaching that unit. Here the teacher needs evidence about the specific objectives of quadratic equations before moving to the next unit, so a unit test is the best fit. A broad achievement test or an attitude inventory would not answer this immediate instructional question.

Q3Which assessment item best checks whether a prospective mathematics teacher understands the contribution of Bhaskaracharya in a curriculum-relevant way?

A State the birthplace of Bhaskaracharya and list the names of his translators.

B Explain why Lilavati should replace all modern arithmetic textbooks.

C Write a note on astronomy only, avoiding algebra and arithmetic.

D Identify the sections of Siddhanta Shiromani and explain how Lilavati and Bijaganita can be linked with arithmetic and algebra teaching.

Explanation

NIOS describes Siddhanta Shiromani as divided into Lilavati, Bijaganita, Goladhyaya, and Grahaganita, with Lilavati linked to arithmetic and Bijaganita to algebra. A meaningful teaching-methods assessment should ask candidates to connect those sections to classroom mathematical ideas, not merely recall personal facts.

Q4A mathematics teacher states this objective for Class IX geometry: "The learner will be able to prove that the angles opposite to equal sides of a triangle are equal, using already established propositions, and will justify each step." Which classification is most defensible?

A Specific cognitive objective at the evaluating level because the learner must justify a proof chain against accepted reasons.

B General cognitive objective at the remembering level because the theorem statement is recalled.

C General affective objective because the learner develops appreciation for geometry.

D Specific psychomotor objective because the learner writes symbols accurately.

Explanation

A specific objective names the learner, the content, and the observable behaviour. Here the learner must prove a particular result and justify each step by earlier propositions. That aligns with Bloom's higher cognitive work, especially evaluating a proof's adequacy, rather than a broad aim such as appreciation or a low-level recall target.

Q5While teaching statistics, a teacher asks students to collect local rainfall data, calculate mean rainfall, and discuss its relevance to crop choice in social science. Which curricular principle is best illustrated?

A Replacing mathematical calculation with environmental discussion

B Interdisciplinary linkage that connects mathematical knowledge with life outside school

C Connecting school knowledge with life outside school through mathematics and related subjects

D Mathematics should be confined to textbook examples to avoid confusion

Explanation

The rainfall task connects classroom mathematics with local experience. Learners collect data, compute a measure of central tendency, and interpret it in relation to agriculture and social science. Such tasks make mathematics functional, interdisciplinary, and grounded in life outside school.

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6In an NCF-aligned mathematics classroom, a student gives a wrong answer but explains a consistent method based on a mistaken assumption. What should be the most appropriate teacher response?

AReplace the problem with simpler drill questions until all students get the same answer

BIgnore the reasoning and mark only the final answer as wrong

CTell the student to memorise the correct formula and avoid alternative methods

DDiscuss the assumption, test it against the problem conditions, and guide the class to revise the reasoning

7Which activity most clearly represents experiential learning in a mathematics lesson on mensuration?

AStudents recite definitions of square, rectangle, and triangle in chorus.

BThe teacher explains the derivation of area formulae without any student task.

CStudents copy the formulae for perimeter and area from a chart.

DStudents measure the classroom floor, estimate tile requirements, compare estimates with actual measurements, and discuss errors.

8A mathematics teacher regularly analyses students' errors in algebra before planning the next lesson. This mainly reflects which professional characteristic?

AMechanical completion of the syllabus

BReflective practice for improving teaching

CDependence on punishment for accuracy

DRejection of assessment in mathematics

9Which use of Ramanujan's work is most suitable in a senior-school mathematics classroom focused on patterns and conjectures?

AAsk students to memorize Ramanujan's biography without any mathematical task.

BPresent a simple number pattern inspired by Ramanujan, ask students to form conjectures, and then test them with further cases.

CUse his name only as a reward label for fast calculation drills.

DTell students that Ramanujan's results cannot be discussed unless they first complete a research degree.

10Which pairing of method and classroom movement is correctly matched?

AInductive method: general rule to particular examples

BDeductive method: particular examples to general rule

CAnalytic method: known facts directly combined to reach the result

DSynthetic method: known facts arranged step by step to reach the unknown result

11A mathematics teacher wants Class IX students to practise factorisation independently, but she also wants to diagnose their errors during the period and guide them only when they are stuck. Which arrangement best represents supervised study?

AConduct a surprise oral test on factorisation identities before teaching the exercise.

BGive graded factorisation exercises, allow students to work individually, observe their methods, and offer timely hints or correction.

CSend students home with the exercise and check only the final answers in the next class.

DDictate all factorisation steps on the board and ask students to copy the solved examples exactly.

12A teacher claims that "students will develop mathematical attitude" is enough as a specific objective for a lesson on statistics. Which revision best satisfies the requirement of a specific, observable objective?

AGiven two data sets with outliers, students will decide whether mean or median is the more suitable representative value and justify the decision.

BThe teacher will conduct a lively discussion on uses of statistics in society.

CStudents will develop respect for mathematics as a useful subject.

DStudents will understand mean, median, and mode very clearly.

13Which statement is the best limitation of the inductive method in mathematics teaching?

AIt can be used only for teaching definitions, not formulae.

BA generalisation from examples still needs logical proof before it is accepted as a theorem.

CIt is always faster than direct explanation.

DIt never allows students to observe patterns.

14A teacher uses Pingala's prosody-based enumeration of long and short syllable patterns to introduce systematic listing. Which modern classroom topic is most directly connected with this example?

ACombinatorics, binary representation and algorithmic thinking through ordered patterns

BCoordinate geometry of conic sections

CTrigonometric identities for compound angles

DRandom sampling error in large surveys

15A teacher is planning an audio-visual aid for introducing the idea of a locus before formal coordinate geometry. Which plan best follows the concrete-to-representational-to-symbolic movement expected in mathematics pedagogy?

AThe teacher writes the standard equation of a circle first and later shows a short clip of circular objects in daily life

BThe teacher asks students to memorise the definitions of circle, parabola and ellipse before seeing any representation

CStudents watch unrelated geometric animations and choose the most attractive one for a classroom display board

DStudents first observe a moving point constrained by a rule, sketch the path on grid paper, describe the rule verbally, and then express it algebraically

Part-III Teaching Methods MCQ - Practice Questions with Answers

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