Questions. Moth. Where do you see 4 and 2? Moth. In this row are how many? Childr. In that row are 5 and 2, &c. b. The sums contained in each row of the Moth. How many times 1 are in this row? Childr. 8 times 1, &c. Moth. 5 and 2 are how many? Moth. How did you make out that 5 and 2 are 7? Childr. 5 are 5 times 1, 2 are twice 1, 5 times 1 and once 1 are 6 times 1; 5 times 1 and twice 1 are 7 times 1. Application. Moth. If you have in your hand six nuts, and I put two more to them, how many have you? Childr. 8 nuts. Moth. Who will prove that 6 nuts and 2 nuts are 8 nuts? One of the Childr. 6 nuts are 6 times one nut; 2 nuts are twice 1 nut. 6 nuts and 1 nut are 7 nuts; 6 nuts and 2 nuts are 8 nuts. 3. The mother may then have three in the right hand column (taking away the 8th row.) Then four in the right column (taking away the 7th row.) Combination of Numbers from 1 to 10. In this exercise the children are taught in how many different ways unities forming a number can be combined. The mother arranges the cubes, puts them together, and separates them, according as the course of the exercise may require. 1 and 1 and 1 and 1 and 1 are 5 The remaining combinations, with 6, 7, 8, 9, 10, to be formed in the same manner. Children that have gone through three or four such combinations, find those that can be formed with the remaining numbers without assistance. Subtraction. The mother places ten cubes separately, taking away one by one till none remain. 1 taken from 10 and 9 remain. Questions. Moth. 1 taken from 6, how many remain ? Childr. 1 taken from 6, 5 remain, &c. The mother proceeds to take from ten cubes 2 at a time, and says: 2 taken from 10 and 8 remain. 7 6 5, &c. till nothing remains. Questions. Moth. 2 taken from 6, how many remain ? Childr. 2 Moth. Prove that. 4 remain. Childr. 2 are twice 1, 1 taken from 6, 5 remain, 2 taken from 6, 4 remain. Application. Moth. If you have 9 apples, and give 2 of them to your brother, how many will remain ? Childr. If from 9 apples I give away 2, I shall keep 7. |