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CTET Mathematics Pedagogy — practice by topic

Browse 797 questions across 13 Mathematics Pedagogy topics. Choose what you want to revise, then open a question to check its answer and worked solution.

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Mathematics Pedagogy topics

Ethnomathematics (100)Language of Mathematics (93)Mathematics Education (76)Mathematics (64)Mathematical Anxiety (63)Curriculum (56)National Curriculum Framework 2005 (56)Formative Assessment (53)Problems in Teaching and Learning of Mathematics (49)Remedial Education (49)Remedial Teaching in Mathematics (49)Educational Assessment (47)Dyscalculia (42)

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Mathematical results are established chiefly by what?Read the answer and worked solution →Which kind of statement is accepted without any proof?Read the answer and worked solution →A statement not yet proved or disproved is called a what?Read the answer and worked solution →A conjecture that has been proved is then called a what?Read the answer and worked solution →

Worked practice questions

Mathematical results are established chiefly by what?

  1. Repeated experiments
  2. Majority opinion
  3. Classroom surveys
  4. Deductive proof
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Correct answer: D. Deductive proof

1. The lead says results are established by deductive proof rather than by experiment. 2. So proof is the test of truth in mathematics. 3. Experiments and votes can support an idea but never settle it. _Source: Wikipedia, "Mathematics" (rev ?), section "Lead section"_

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Which kind of statement is accepted without any proof?

  1. A theorem
  2. An axiom
  3. A conjecture
  4. A lemma
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Correct answer: B. An axiom

1. An axiom or postulate is taken to be true without need of proof. 2. It is a starting point from which other results are derived. 3. A theorem has been proved and a conjecture is not yet proved. _Source: Wikipedia, "Mathematics" (rev ?), section "Symbolic notation and terminology"_

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A statement not yet proved or disproved is called a what?

  1. Conjecture
  2. Theorem
  3. Axiom
  4. Definition
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Correct answer: A. Conjecture

1. A statement still awaiting proof or disproof is a conjecture. 2. Once proved it would become a theorem. 3. An axiom is assumed and a definition just fixes a meaning. _Source: Wikipedia, "Mathematics" (rev ?), section "Symbolic notation and terminology"_

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