THE PURPOSE OF SYSTEMATIC TEACHING AND LEARNING IN ARITHMETIC IS TO HELP CHILDREN DEVELOP IDEAS OF PROCEDURE, METHODS OF THINKING, MEANING INHERENT IN NUMBER REACTIONS AND ARRANGEMENT IN ORDER THAT THE QUANTITATIVE SITUATIONS OF LIFE MAY BE HANDLED INTELLIGENTLY. AT THE KINDERGARTEN-PRIMARY LEVEL THE NUMBER CONCEPTS TO BE FOSTERED ARE--PUTTING TOGETHER, TAKING APART, COUNTING, AND MEASURING. SOME ACTIVITIES WHICH MIGHT GIVE MEANING TO ARITHMETIC FOR YOUNG CHILDREN INCLUDE--TELLING TIME, COUNTING MONEY, PAYING BILLS, BUYING POSTAGE STAMPS, PLANNING PARTIES, MEASURING TOY FURNITURE, READING HOUSE NUMBERS, USING THE TELEPHONE, USING A CALENDAR, READING THERMOMETERS, AND KEEPING SCORES. AS PUPILS PROGRESS TO THE INTERMEDIATE LEVEL, THEIR ABILITIES AND EXPERIENCES IN THE USE OF NUMBERS ALSO INCREASE. THE NUMBER CONCEPTS TO BE DEVELOPED IN THE INTERMEDIATE GRADES ARE ADDITION, SUBTRACTION, MULTIPLICATION, AND DIVISION OF INTEGERS, FRACTIONS, AND DECIMALS. SOME OF THE MEANINGFUL ACTIVITIES FOR INTERMEDIATE CHILDREN MIGHT INCLUDE--LINEAR MEASURES, LIQUID MEASURE, FINDING AVERAGES, USING ROMAN NUMERALS, MAKING CUT-OUTS FOR FRACTIONS, DRAWING GRAPHS, LEARNING TO SHOP, LEARNING THE NAMES OF GEOMETRIC FIGURES, DRAWING TO SCALE, AND READING ROAD MAPS. A LIST OF ARITHMETICAL VOCABULARY WORDS, EXPECTED OUTCOMES, AND BIBLIOGRAPHIES OF PUBLISHED ARITHMETIC MATERIAL ARE INCLUDED FOR BOTH LEVELS.