गणित सोपानक्रमिक प्रकृति का है। दो उदाहरणों की सहायता से इस कथन की पुष्टि कीजिए।
गणित को सोपानक्रमिक (sequential) प्रकृति का माना जाता है, क्योंकि इसमें एक सिद्धांत या अवधारणा के सीखने के बाद अगली अवधारणा का अध्ययन किया जाता है, जो पहले की जानकारी पर आधारित होती है। यह क्रमिक रूप से ज्ञान के विस्तार की प्रक्रिया को दर्शाता है।
पहला उदाहरण है – "संख्याओं का ज्ञान ______ _____ _____ ______ _______ ____ _________ ________.
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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.
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.
Suman plays basketball. State two different mathematical concepts she used for this. Justify your 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।
दो ऐसी भिन्न प्रकार की गतिविधियाँ सुझाइए जो से.मी. को मीटर से संबद्धित करने के लिए एक फार्मूले तक पहुँचने में बच्चों की मदद कर सकें।
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.
Explain the relationship of arithmetic and algebra with the help of a suitable example.