This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1917 edition. Excerpt: ...into four parts, dealing respectively with addition, subtraction, multiplication, and division of fractions of unlike denominators. FRACTIONS OP LIKE DENOMINATORS One hundred errors made in the addition of fractions of like denominators by eighth-grade pupils were analyzed and thrown into the five ...
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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1917 edition. Excerpt: ...into four parts, dealing respectively with addition, subtraction, multiplication, and division of fractions of unlike denominators. FRACTIONS OP LIKE DENOMINATORS One hundred errors made in the addition of fractions of like denominators by eighth-grade pupils were analyzed and thrown into the five categories which appear in Table XXVIII. In dealing with these simple fractions the most frequent error is found to be that indicated by the reproduction in section a, Diagram 18. The numerators are added and likewise the denominators. This is perhaps the mistake that would be expected, and it should therefore be very carefully guarded against by the teacher. It shows, however, that the child does not have the least conception of the meaning of denominator. TABLE XXVIII Frequency Of Types Of Error In Addition Of Fractions Of Like Denominators--Eighth Grade Another frequent error is that shown in section b of the diagram; the numerators are multiplied and likewise the denominators. This indicates an interference of mental functions. Since the pupil ii+J_ = 27 15 6 30 / Diagram 18.--Typical errors made in adding fractions of like denominators is an eighth-grade pupil, the multiplication of fractions is more vividly in his mind than is addition. He consequently multiplies. Sometimes an individual will be found who multiplies everything in Sets H and O. This may be due to carelessness in observing signs; or it may be due to the fixing of the method of handling one type of fractions at the expense of others. Another type of error is found in section c of the diagram. The numerators are added and the denominators multiplied. This indicates a confusion between the method of adding and the method of multipling fractions. A modification of this same type...
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Add this copy of Arithmetic Tests and Studies in the Psychology of to cart. $31.14, new condition, Sold by Paperbackshop rated 4.0 out of 5 stars, ships from Bensenville, IL, UNITED STATES, published 2021 by HardPress Limited.
Add this copy of Arithmetic Tests and Studies in the Psychology of to cart. $54.95, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2016 by Palala Press.
