Pedagogy

CTET Maths Pedagogy MCQ with Answers

308 practice questions on Mathematics Pedagogy for CTET Paper I and Paper II (Mathematics), with answers; most also have an explanation or a worked solution. Try each one before you open its answer.

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1. Q.301

   Which statement correctly compares base-ten (Dienes) blocks and the abacus as models of place value?

   1. A Both are non-proportional models, since neither shows value by size
   2. B The abacus is proportional, because every bead on it is exactly the same size
   3. C Both are proportional, since a ten is ten times a one in size in each of them
   4. D A long is ten units in size; an abacus bead's value depends only on its rod
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   Correct answer: (D) A long is ten units in size; an abacus bead's value depends only on its rod

   Dienes blocks are a proportional model (a long is as big as ten units), so the size of 'ten' can be seen; the abacus is non-proportional, since a bead on the tens rod looks the same as one on the ones rod. That is why groupable or proportional materials usually come before the abacus.

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2. Q.302

   Which of the following is the most appropriate use of ICT in a mathematics classroom?

   1. A Showing a video of the teacher solving textbook exercises step by step so that students can copy every step at home
   2. B Replacing all hands-on activities with computer-based drills that give instant scores and rank every student
   3. C Using a calculator from Class 1 so that students need not learn basic number facts at all
   4. D Using dynamic geometry software so students drag vertices and explore which properties of a triangle stay unchanged
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   Correct answer: (D) Using dynamic geometry software so students drag vertices and explore which properties of a triangle stay unchanged

   ICT is most valuable when it allows exploration and visualisation that is hard to do otherwise, such as dynamic geometry. Using it merely for drill or copying steps does not add to understanding.

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3. Q.303

   Without calculating exactly, a child says that 498 + 297 must be a little less than 800. This ability is best described as:

   1. A Rote memory
   2. B Number sense
   3. C Conservation of number
   4. D Algorithmic skill
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   Correct answer: (B) Number sense

   Number sense is an intuitive feel for numbers, their size and their relationships, here seeing 498 and 297 as just under 500 and 300. It is neither recall of a stored fact nor a written procedure.

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4. Q.304

   Which of the following is an informal method of assessing children's learning in mathematics?

   1. A Watching children play a dice game in pairs and noting how they count on
   2. B A term-end written test with a fixed time limit, marked out of 50
   3. C A unit test on addition and subtraction, marked out of 25 by the teacher
   4. D A standardised achievement test given to all Class 3 children in the district
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   Correct answer: (A) Watching children play a dice game in pairs and noting how they count on

   Informal assessment takes place during ordinary classroom activity, without a test setting; watching children play shows how they actually use numbers. The other options are planned, formal tests.

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5. Q.305

   A Class 3 teacher wants to develop logical reasoning. Which activity is most suitable?

   1. A Number riddles like 'I am a two-digit number below 20; my digits add up to 5. Who am I?'
   2. B Copying the multiplication tables of 2 to 10 into the notebook and then reciting them aloud
   3. C A timed drill of 50 addition facts with a star for the fastest finisher
   4. D Writing the number names from one to hundred in the notebook, checking that every spelling is correct
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   Correct answer: (A) Number riddles like 'I am a two-digit number below 20; my digits add up to 5. Who am I?'

   A riddle makes children combine clues, rule out possibilities and justify an answer, which is logical reasoning. Copying tables or timed drills practise recall, not reasoning.

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6. Q.306

   A collection of a student's mathematics work over the year, such as solved problems, projects, drawings of shapes and self-reflections, that shows growth over time is called a:

   1. A Diagnostic test
   2. B Achievement test
   3. C Portfolio
   4. D Standardised test
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   Correct answer: (C) Portfolio

   A portfolio is a purposeful collection of a learner's work that documents progress and effort, making it a useful tool for continuous and comprehensive evaluation.

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7. Q.307

   'Mathematics is a language' is a statement that implies which of the following for the classroom?

   1. A Children must learn the precise meaning of symbols and terms, and be given chances to talk and write mathematics
   2. B Mathematics should be taught only through the mother tongue, since children think best in their home language
   3. C Mathematical symbols can be interpreted freely by each child
   4. D Word problems should be avoided in early classes because they mix reading difficulties with mathematics
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   Correct answer: (A) Children must learn the precise meaning of symbols and terms, and be given chances to talk and write mathematics

   Mathematics has its own vocabulary, symbols and grammar, so children need to learn their exact meaning and practise communicating mathematically. Word problems are an important part of this, not something to avoid.

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8. Q.308

   Seema, a Class 6 student, says, 'I am just not a maths person.' The most helpful response of the teacher is to:

   1. A Agree kindly, and suggest she put her energy into the other subjects she is good at
   2. B Give her the hardest problems in the book so that she can prove herself
   3. C Compare her marks with those of a classmate who does well, to motivate her
   4. D Give tasks she can master with effort, value her strategies, treat mistakes as normal
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   Correct answer: (D) Give tasks she can master with effort, value her strategies, treat mistakes as normal

   A belief that ability in mathematics is fixed feeds anxiety and avoidance. Success through effort, recognition of her own thinking and a classroom where errors are normal rebuild confidence; comparison and very hard tasks deepen the fear.

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