It is well for the pupil to be introduced to many arithmetical facts by way of problems about their common uses. The clockface, the railroad distance table in hundredths of a mile, the cyclometer and speedometer, the recipe, and the like offer problems which enlist his interest and energy and also connect the resulting arithmetical learning with the activities where it is needed. There is no time cost, but a time-saving, for the learning as a means to the solution of the problems is quicker than the mere learning of the arithmetical facts by themselves alone. A few samples of such procedure are shown below:-- GRADE 3 To be Done at Home Look at a watch. Has it any hands besides the hour hand and the minute hand? Find out all that you can about how a watch tells seconds, how long a second is, and how many seconds make a minute. GRADE 5 Measuring Rainfall =Rainfall per Week= (=cu. in. per sq. in. of area=) June 1-7 1.056 8-14 1.103 15-21 1.040 22-28 .960 29-July 5 .915 July 6-12 .782 13-19 .790 20-26 .670 27-Aug. 2 .503 Aug. 3-9 .512 10-16 .240 17-23 .215 24-30 .811 1. In which weeks was the rainfall 1 or more? 2. Which week of August had the largest rainfall for that month? 3. Which was the driest week of the summer? (Driest means with the least rainfall.) 4. Which week was the next to the driest? 5. In which weeks was the rainfall between .800 and 1.000? 6. Look down the table and estimate whether the average rainfall for one week was about .5, or about .6, or about .7, or about .8, or about .9. Dairy Records =Record of Star Elsie= Pounds of Milk Butter-Fat per Pound of Milk Jan. 1742 .0461 Feb. 1690 .0485 Mar. 1574 .0504 Apr. 1226 .0490 May 1202 .0466 June 1251 .0481 Read this record of the milk given by the cow Star Elsie. The first column tells the number of pounds of milk given by Star Elsie each month. The second column tells what fraction of a pound of butter-fat each pound of milk contained. 1. Read the first line, saying, "In January this cow gave 1742 pounds of milk. There were 461 ten thousandths of a pound of butter-fat per pound of milk." Read the other lines in the same way. 2. How many pounds of butter-fat did the cow produce in Jan.? 3. In Feb.? 4. In Mar.? 5. In Apr.? 6. In May? 7. In June? GRADE 5 OR LATER Using Recipes to Make Larger or Smaller Quantities