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What are the advantages and disadvantages in teaching math from a teacher-centered and a constructivist perspective?

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What are the advantages and disadvantages in teaching math from a teacher-centered and a constructivist perspective?

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Teacher-centered approaches are effective in teaching basic math facts through drill and practice, however students may not intrinsically motivated, and may fail to make a connection between leaning math facts and their relation to the real world. A constructivist approach to mathematics would stress active, student-centered learning in real-life contexts and may help in making concepts more understandable and interesting. However, students must first know the facts before they are able to apply them to real-life situations.

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