Step-by-step instruction in mathematics is crucial to learning and should be an integral part of any teaching strategy. Once a concept has been selected and prior to presenting it to a student, a teacher should determine what fundamental subtopics will that student need to be familiar with to achieve mastery. For example, if a teacher is planning to teach addition of fractions, a student needs to understand what a fraction is; a student needs to know what a multiple is; a student needs to know how to find a least common multiple; a student needs how to reduce a fraction to lowest terms and a student needs to know that fractions can only be added if they have a common denominator. As this example illustrates, knowing the subtopics that need to be mastered and determining if a student understands them, is vital to improving the chances for success in the mastery of any new topic. Thus, a teacher should provide a student with these fundamental topics using a step-by-step format. Another benefit of step-by-step instruction is that a student will have numerous opportunities for success. Students that have access to success will be motivated to continue climbing the ladder toward mastery of any concept that you teach. Although I am promoting step-by-step instruction in mathematics, anyone that has to teach a skill to someone else can integrate that type of instruction.

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