Public school methods . ol Methods also perceive that eleven less two are nine, and eleven lessnine are two. The twelve multiplication facts that second grade pupilsshould know are the following: 2 X 2 = 4 3 X 2 = 6 2 X 3 = 6 4 X 2 = 8 3 X 3 - 9 2X4 = 8 2 X 5 - 10 5 X 2 ?= IO 4 X3 = 12 3X4 = 12 2X6 = 12 6 x2 = 12 These multiplication facts involve division facts. If apupil knows that four times two equal eight, he will alsoknow that eight divided by two equals four and eight dividedby four equals two. Once these facts are clearly perceivedand memorized, a good foundation for future work is lai


Public school methods . ol Methods also perceive that eleven less two are nine, and eleven lessnine are two. The twelve multiplication facts that second grade pupilsshould know are the following: 2 X 2 = 4 3 X 2 = 6 2 X 3 = 6 4 X 2 = 8 3 X 3 - 9 2X4 = 8 2 X 5 - 10 5 X 2 ?= IO 4 X3 = 12 3X4 = 12 2X6 = 12 6 x2 = 12 These multiplication facts involve division facts. If apupil knows that four times two equal eight, he will alsoknow that eight divided by two equals four and eight dividedby four equals two. Once these facts are clearly perceivedand memorized, a good foundation for future work is laid. 5. Devices, (a) Cards. The perception cards recom-mended for first year work in addition, subtraction andmultiplication should be used freely for drill on thirty-threefacts of addition. Give much drill on such combinations as 7 8 5 7 7 75 3 3 2 4 3 and do not spend time drilling on 2 ?? the simpler combinations, as , , if the children have already mastered them. (b) Number Circle. The following device may be used. Second Year Number Work 237 for drill on the facts of addition. Draw a large circle ona 12 x 14 inch piece of white tag board, or other suitablematerial. On the circumference of the circle print thenumbers from 1 to 10. Cut two slits in the center of thecircle large enough to allow a 16 x 2 inch piece of tagboardto be drawn through. On the 16x2 inch piece of tagboardprint the numbers from 1 to 10 (about two inches apart),and draw this through the center of the large circle. Drillby combining the figure in the center with any number ofthe circle. This device can also be used in Illustrative Lessons, (a) Addition. Purpose of thelesson: To teach the number facts of fourteen. 7 + 7 = 14; 9 + 5 = 14; 8+6=14. Material. Materials needed are balls, two baskets, anda table around which the children gather. Marbles or otherround objects may be used in place of balls. Method. The teacher introduces the lesson with thefollowing: I have a puzzle for you to sol


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