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How do learners excel in mathematics?.
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Excelling in subjects like mathematics requires a few things. Research has shown time and time again that learners that have obtained above average grades in mathematics have either intuitively or have been taught to study mathematics in a particular way. This involves:
- * Having a firm grounding of all theory, rules, laws, principles and theorems. Knowing how to apply these is the foundation of mathematics.
- * Exposing oneself to a wide a range of ways in which examiners pose questions in examinations. The key here is that good learners not only expose themselves to a comprehensive array of types of questions, but they are able to recognize the type of question and have intuitively created a series of steps to solve the associated type of questions. The wider the range of question types over which the learner is exposed the more comfortable the learner is at putting forward the solution.
- * Practicing with as many examples as possible on the relevant types of questions, so that recognition becomes almost instantaneous and computing the solution becomes second nature.
- * Self assessments are good indicators that guide learners on which sections or subsections to focus on. It also helps with a key but a hardly emphasized point, confidence generation. The virtuous circle of dedicated efforts, good grades, results in motivation to continue the studying cycle.
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The methodology applied is one that supports the virtuous circle of studying mathematics, i.e.
- * Learning and grasping all aspects that constitute basic principles.
- * Exposure to the nature of questions that may be posed by an examiner and then learning the appropriate method to solve the relevant.
- * Consolidation with as many examples as possible, of the standard that will be assessed, is key.
- * Assessments are critical to determining the level of competency. Also important, is being able to infer where one’s deficiencies lay so that corrective action can occur.
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This virtuous circle of learning advances the very popular approach to educating, “improving in increments”. This approach allows students to develop at their own pace and convenience.
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Methodology