Principles and methods of teaching arithmetic - Brossura

Overman, James Robert

 
9781152033948: Principles and methods of teaching arithmetic

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1920 Excerpt: ...mechanically, they should understand what they are doing. In the example 3)84 they should always think 3 in 8, 2 and 2 over; 3 in 24, 8; but at the same time they should understand what they are really doing when they "carry" the 2. The understanding of the process prevents many mistakes while the habit is in its formative stage. In the above example, if the pupil understands what he is really doing he is not apt to make the common mistake of adding the figure carried to the next place and thinking 3 into 8 goes 2 times and 2 over; 3 into 6 goes 2 times. Understanding of the process is one of the most valuable means of preventing the formation of incorrect habits of response in the fundamental processes. To teach a fact or process without letting the pupils see what they are really doing is just as bad as to let the pupil think it through every time. Both lead to future mistakes. Be Sure Old Habits Are Well Established Before Introducing New. Many exceptions to the desired habits result from trying to go too fast, crowding one thing too closely on the heels of another, and introducing new facts or processes before the old ones are sufficiently mastered. As a result, the pupils become confused and make many mistakes. No better advice can be given to a teacher of arithmetic than "Make haste slowly." Do Not Try to Form too Many Habits at One Time. The secret of success in habit formation is concentration on a few specific habits at a time. To try to habituate too much at one time leads to confusion, distraction of attention and dissipation of energy. In drilling on the fundamental facts only a few should be drilled upon at a time until they are well established, then, when the object of further drill is simply to make the responses permanen...

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