Learning alternate division algorithm in enhancing the concept of rates and density

The traditional long division algorithm assumes that users can apply a guess-andmatch type mental process of searching for a maximum that is not greater than the dividend at the initial stage of this algorithm. This optimization process requires heavy cognitive load on metal calculation on applying rules and regulations that does not correlate to life experience of sharing objects. By introducing the special method of learning the concept of division, the Partition of Quotient (POQ), we find that it can enhance the effectiveness of learning the concept of rate in science, in particular, the concept and property of density of an object. Copyright © 2008 the Authors.