Explain why use of concrete material and hands on experiences, in teaching learning of mathematics at primary level are more effective. Illustrate with the help of one example each.
The use of concrete materials and hands-on experiences in teaching primary school mathematics significantly enhances understanding and retention among young learners. Concrete materials help bridge the gap between abstract concepts and practical understanding, making the _________ ____ ________ ___ ______ ________ _______ ________.
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i) 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.
ii) 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.
आइए एक संख्या- खेल पर विचार करें। एक संख्या सोचिए, उसे दुगुना करें उसे योग में छह जोड़ें, इस योग को आधे से विभाजित करें, फिर उसमें से तीन घटाएं आपको क्या उत्तर मिला? क्या आपको वही संख्या मिल गयी जो आपने पहले सोचा था? क्यों? पुष्टि कीजिए।
Give an example each, with justification, of a situation in which a child uses deductive reasoning.
i) While playing
ii) In Mathematics
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 X 67 = 4221
71 X 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.
Jaya solved the division problem as shown below:
i) What is the mistake she committed?
ii) What is the probable reason for her mistake?
iii) Devise a strategy to overcome her misconception.
गणित किस प्रकार एक भाषा है, स्पष्ट कीजिए। दो ऐसी अलग-अलग गतिविधियाँ बताइए जिनसे यह आकलन करने में मदद मिल सके कि उसकी भाषा के साथ बच्चों कितनी सहज हो पायी।
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