Grouping Students

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Grouping Student according
to their cooperation (will to learn)

Grouping students according to abilities, and if not, their cooperation (!) in their own education is out of style. Instead instructor are required to teach multilevel classrooms with an engaging style and engaging content. Mathematical skills and concepts can be employed in many different directions. The general development of critical thinking and problem solving skills provides a principle to follow in but not to dominate instruction. Some students in leaving school early, earlier than desired, might be kept in school by concrete examples of mathematics in society - cost of living, cost of credit and business or shopkeeper arithmetic. Where as for others who plan to continue in school, those concrete examples may be too early. The KISS principle is not applied to mathematics education. Yet it should be.

One way to keep mathematics education focused and even it shorten it, so that too many topics do not overwhelm learning and teaching, is to emphasis the full mastery of arithmetic, logic, algebra, geometry, trig and eventually functions required by a first course in calculus, and to give exercises that illustrate or suggest the utility the required skills in society and technical trades. Courses given before calculus should not be overfilled with topics with topic that may come after a first course in calculus. No context will please all, but keeping the context simple and teaching at a high level, the least amount of mathematics needed for entry into calculus might lessen the pain and be more effective.

Food for thought: The one-size-fits-all criticism of direct instruction in mathematics course design could be a criticism of the removal of streaming or the grouping of students by their level of cooperation in school with education. Without streaming and without focus, requiring longer and longer periods of education could be a form of imprisonment. While we hope that constructivist advocates can provide methods or activities, applications and situations, to engage all students in class, regardless of their knowledge or skill level, the one-size-fits-all method today of keeping students of the same age, but at multiple levels of ability, is a criticism that can be applied to the end of streaming. Streaming should return if only to separate the students who value education from those who do not. Students 14 to 18 who want to work should be allowed, and given a voucher for the completion of high school leaving requirements later, when they have the time and will, when hormones have subsided. The foregoing is food for thought, not a prescription.

Grouping Student according to their cooperation (will to learn)

Grouping Student according
to their cooperation (will to learn)