Do you agree with each of the following statements? Give reasons for your answers. a) Mathematics is the study of numbers and calculations.
b) The decimal fraction 0.02 is greater than 0.1.
c) Children learn mainly by imitating adults.
d) Games can play an important role in the mathematics classroom.
e) Children in classes 1 and 2 can handle data.
a) Mathematics is the study of numbers and calculations.
While this is partly true, mathematics goes beyond just numbers and calculations. It is the study of patterns, structures, relationships, and the logical reasoning that underpins all mathematical concepts. It involves topics such as algebra, geometry, calculus, probability, and more, not just simple arithmetic.
b) The decimal fraction 0.02 is greater than 0.1.
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Why do we need to develop the ability of estimating the outcome of arithmetic operations on fractions? Further, give a series of three activities to help a Class 4 child develop the ability to estimate the bigger of two fractions. Explain how the activities form a series.
नीचे संख्याओं का एक अनुक्रम दिया गया है:
2, 5, 10, 17, ...
अनुक्रम में अगली संख्या क्या होगी? प्रत्येक मामलों में क्या नियम लागू होता है, यह बताते हुए दो अलग-अलग उत्तर दीजिए।
Deepa had to introduce the concept of ‘half’ to her class of 7-yar olds. She began by asking children if they could show half of anything. Most children came up with examples by breaking a chalk piece or tearing a sheet of paper into two. Deepa allowed children to talk to each other and share their examples with the whole class. More examples emerged, such as half of a glass of water. Deepa did not emphasize that the size of the two pieces must be equal for each to be one-half of the whole. Through the entire class she did not introduce the symbol ½.
i) Do you think Deepa should have started by giving examples of ‘half’ herself? Justify your answer.
ii) Was Deepa justified in not introducing the symbol? Explain why?
iii) Suggest an activity to carry this forward on the following day.
कक्षा 2 की बच्ची 141 और 41 की जमा को निम्नलिखित रूप से करती है:
i) गलत उत्तर के संभावित कारण बताइए।
ii) अपने विद्यार्थियों की गलतियों को ध्यान से न देखने से एक शिक्षक को क्या नुकसान होता है?
iii) ऐसी दो अलग-अलग गतिविधियों का वर्णन कीजिए जो आप संख्याओं की जमा में ऐसे उत्तरों की समस्या को दूर करने के लिए कक्षा में आयोजित करेंगे।
टाइलिंग (टेसेलेशन) क्या है? दो भिन्न-भिन्न बनावटों का प्रयोग करते हुए टाइलिंग का एक उदाहरण दीजिए।
Suppose you are teaching a child addition of decimal fractions, according to the constructivist model. In this context,
Suppose you are teaching a child addition of decimal fractions, according to the constructivist model. In this context,
i) how would you access her readiness for this topic?
ii) formulate three questions to draw out her thinking.
iii) give two errors that this child may make while learning this process. How would you use these errors to her learning?
निम्नलिखित कथनों को संक्षेप में स्पष्ट कीजिए। अपने स्पष्टीकरण में उचित उदाहरण भी शामिल करें।
a) गणितीय अवधारणा की खोज-बीन करना एक निरंतर प्रक्रिया है।
b) बीजगणित करना गणितीय सोच का मूल तत्व है।
c) एक अध्यापिका को अपने विद्यार्थियों के लिए "स्कैफोल्ड" होना चाहिए।
d) स्थान-संबंधी समझ विकसित करना ज्यामिति की कुछ परिभाषाओं और नियमों के बारे में सीखने से कहीं ज्यादा है।
e) आंकड़े एकत्रित करना अपने आप पास की दुनिया के बारे में समझ बनाने का एक साध है।