Important Questions of Theories of Mathematical Thinking Mathematics | Zigya

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21.

The 200 tickets of a lottery were sold in which there was prize on 10 tickets. If Monica has purchased one ticket, what is the probability of winning a prize?

  • 0.0005

  • 0.05

  • 0.005

  • 199200


22.

Characteristics of a good textbook of Mathematics should be

  • there are many solved examples and some questions of exercise

  • there are sufficient solved illustrations and more questions of exercise

  • all the exercise questions are solved

  • All of the above


23.

Mathematics is the mirror of civilization is said by

  • Locke

  • Plato

  • Hogben

  • Dalton


24.

Algebra is introduced in the middle classes. According to Piagets' theory of cognitive development, it is appropriate to introduce algebra at this stage as

  • the child is at sensorimotor stage and can understand with the help of lots of manipulatives

  • the child is at pre-operational stage and can understand abstract concepts

  • the child is at concrete-operational stage and he can understand and conceptualize concrete experiences by creating logical structure

  • the child is at formal operational stage and is fully mature to grasp the abstract concepts


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25.

Following is a problem from textbook of Class VI

Express the following statement through linear expression
Neha has 7 more toffees than Megha. If Megha has x toffees, how many toffees does Neha have?

Which competence of Bloom's cognitive domain is referred in the above question?

  • Knowledge

  • Comprehension

  • Analysis

  • Synthesis


26.

If p=32000 + 3-2000 and q = 32000- 3-2000 , then the value of p2-q2 is 

  • 1

  • 2

  • 3

  • 4


27.

To establish which type of correlation a mathematics teacher must have, versatile knowledge of basic elements of different subjects?

  • Incidental correlation

  • Systematic correlation

  • Both (1) and (2)

  • None of these


28.

Read the approaches used by the two teachers to teach solving oflinear equation, say 2x - 6 = 10
Teacher A Teacher B

Steps

(a)Take 6 on other

(b) Change the sign of 6 and add to 10

(c) Get 2x = 16

(d)Take 2 on the other side and divide

(e) Get x = 8

Steps

(i) Equation always mentain equality. So,

same operation with same number can be performed on both sides to maintain equality

(ii) HENCE, 2X - 6 + 6 = 10 + 6 = 2X = 16

(iii) 2x2 = 162  x = 8

It can be observed that

  • teacher A focuses on conceptual knowledge while teacher B focuses on procedural knowledge

  • teachers A and B focus on instrumental
    understanding

  • teacher A emphasizes on instrumental understanding while teacher B emphasizes on
    relational understanding

  • teacher A emphasizes on relational understanding while teacher B emphasizes on instrumental understanding


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29.

Writing proofs in geometry implies

  • argument or justification of statements

  • description of a geometrical problem

  • steps of drawing a figure

  • two-column table of axioms and deductions


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