THE 4TH YEAR SHOULD CONTINUE THE SEQUENTIAL PRESENTATION MATHEMATICAL UNDERSTANDINGS AND RELATIONSHIPS. NEW LEARNINGS SHOULD BE PRESENTED CONCRETELY IN SOCIAL SETTINGS WITHIN THE CHILDREN'S FRAMEWORK OF UNDERSTANDING. GRAPHIC MATERIALS MAY BE USED TO BRIDGE THE UNDERSTANDINGS FROM THE CONCRETE TO THE ABSTRACT LEVEL. THE NUMBER SYSTEM UNIT SHOULD TEACH THE CHILDREN TO READ AND WRITE NUMERALS UP TO FIVE DIGITS. AN INTRODUCTION TO ROMAN NUMERALS SHOULD BE MADE. THE STUDY OF WHOLE NUMBERS CAN EXPAND THE CHILDREN'S KNOWLEDGE OF ADDITION, SUBTRACTION, MULTIPLICATION, AND DIVISION. DIVISION SHOULD BE RELATED TO MULTIPLICATION AND TO SUCCESSIVE SUBTRACTIONS. ALGORITHMS CONTAINING INTERMEDIATE AS WELL AS FINAL REMAINDERS SHOULD BE UTILIZED. THE CHILDREN SHOULD LEARN TO ESTIMATE QUOTIENTS BY USING ROUNDED-OFF NUMBERS. THE STUDY OF "PARTS" SHOULD EXPLORE THE FRACTION CONCEPT AND DECIMALS, THE STUDY OF MEASUREMENTS, TIME, LINEAR AND QUALITY, AND TEMPERATURE, THE STUDY OF GRAPHS AND CHARTS, CHARTS, SCORES AND GRAPHS, AND THE STUDY OF GEOMETRIC CONCEPTS, FORMS, AND AREA.