Understanding Partitive Division of Fractions.

first-grade students start addition of whole numbers, they are given sets of objects to combine and count to determine the sum. Most educators agree that beginning students need experience combining groups of objects, such as combining two pencils and three pencils to get a group of five pencils. Such activities are needed to give students an understanding of what addition means before moving on to faster but less meaningful ways to sum numbers, such as the use of an algorithm or calculator. This approach is based on the learning principle that meaning comes from knowing the things signified by the symbols. Thus, familiar, concrete experience actual or recalled should be a