निम्नलिखित प्रत्येक के लिए रोज़मर्रा की ज़िन्दगी से ऐसी दो परिस्थितियाँ बताइए जिनमें हम हम इनका प्रयोग करते हैं:
i) ज्यामिति
ii) पूर्णाक
iii) बीजगणित
See Answer →जया ने भाग के सवाल को निम्नलिखित तरीके से हल कियाः
i) उसने क्या गलती की?
ii) उसकी इस गलती का संभावित कारण क्या है?
iii) उसकी इस गलत धारणा को दूर करने के लिए एक कार्यनीति तैयार कीजिए।
See Answer →प्राइमरी स्तर पर गणित पढ़ने-पढ़ाने में मूर्त सामग्री और व्यावहारिक अनुभवों का प्रयोग क्यों ज्यादा प्रभावी होता है, वर्णन कीजिए प्रत्येक को एक-एक उदाहरण की सहायता से इसे स्पष्ट कीजिए।
See Answer →Which of the following statements are true or false? Give reasons for your answer.
i) ‘Today is a bright day’ is an unambiguous statement.
ii) The sum of the interior angles of a Pentagon is 450o .
iii) Pre-operational thinking is the characteristic of a two year old child.
iv) If the capacity of a 3D-objects increases, then the volume also increases.
v) Each mathematical problem have a unique solution.
See Answer →Much of Mathematics teaching is actually about encouraging children to become more aware about patterns they find and to use them in their thinking. Illustrate this in the case of the situation given below by answering the questions given in questions (i), (ii) and (iii), below.
"A mathematics teacher in class 5 showed the following pattern in the class.
46 x 44 = 2024
63 × 67 = 4221
71 × 79 = 4909
She gave some time for the students to identify the pattern. After some time she asked the students to find the answer of "84 x 86" in one second. One student answered 7224. Based on this situation, answer the following question.
i) What is the pattern used by the student?
ii) Explain why it works?
iii) Describe how it helps to encourage mathematical thinking.
See Answer →What is a magic square? Complete entries in the following and make it a magic square.
Illustrate the methods used for filling the entries. Also explain why the method work?
See Answer →Prove that the sum of the first n even numbers is an even number. Is the kind of logic used in proving this is inductive, deductive or both? Justify your answer.
See Answer →Here is a think of a number game: ‘Think of a number, then double it, add six to the sum, divide the sum by half and then subtract 3 from it the number’. Did you receive the same number you had started with? Why? Justify.
See Answer →What is an equation? Does all the equation involve a variable. Give an example of an equation with a variable in it and which does not have a variable in it.
See Answer →What could be the logic behind the following subtraction done by a child:
Does this shows that the child has not understood the process of subtraction of numbers? Give reasons for your answer. How will you help her to correct her mistake.
Illustrate the use of each of the following in learning the concept of “fraction”.
i) an outdoor activity
ii) newspapers and magazines
See Answer →How would you convince a child that any number multiplied by 0 is 0, using a teaching aid.
See Answer →Evaluation at every step, through immediate feedback, should form part of teaching – learning process. Explain this statement in the context of each, teaching and learning of place-value. Further give three distinct multiple assessment techniques for evaluation in the context given.
See Answer →Suggest two activities of different kinds that would help children arrive at a formula that relates centimeters to meters.
See Answer →‘Mathematics is hierarchical in nature’. Justify this statement with help of an example.
See Answer →Suman plays basketball. State two different mathematical concepts she used for this. Justify your answer.
See Answer →Explain the relationship of arithmetic and algebra with the help of a suitable example.
See Answer →Give an example each, with justification, of a situation in which a child uses deductive reasoning.
i) While playing
ii) In Mathematics.
See Answer →Explain how mathematics is a language. Further give two distinct activities to help assess how comfortable a child is with her language.
See Answer →