Guest post by C.K.RAJU
Did you find math difficult in school? Does your child? If so, what is the solution: change the teacher or change the child? Blaming the teacher or the child for math difficulties is a common but unsound explanation. Thus, problems with teachers or students should equally affect all subjects, not only math.The right solution is to change math. That seems impossible. People naively believe that math is universal. In fact, the math taught today, from middle school onward, is called formal math; it began only in the 20th c. with David Hilbert and Bertrand Russell. It differs from the normal math which people earlier did for thousands of years, across the world, and still do in kindergarten.Formal math adds enormously to the difficulty of math but nothing to its practical value. The practical value of math comes from efficient techniques of calculation, used in normal math, not prolix formal proofs. For example, the proof of 1+1=2 took Whitehead and Russell 368 pages of dense symbolism in their Principia. That proof is a liability in a grocer’s shop. In contrast, normal math is easy. One apple and one apple make two apples as most people learn in kindergarten. So should we switch back to normal math at all levels?
Did you find math difficult in school? Does your child? If so, what is the solution: change the teacher or change the child? Blaming the teacher or the child for math difficulties is a common but unsound explanation. Thus, problems with teachers or students should equally affect all subjects, not only math.The right solution is to change math. That seems impossible. People naively believe that math is universal. In fact, the math taught today, from middle school onward, is called formal math; it began only in the 20th c. with David Hilbert and Bertrand Russell. It differs from the normal math which people earlier did for thousands of years, across the world, and still do in kindergarten.Formal math adds enormously to the difficulty of math but nothing to its practical value. The practical value of math comes from efficient techniques of calculation, used in normal math, not prolix formal proofs. For example, the proof of 1+1=2 took Whitehead and Russell 368 pages of dense symbolism in their Principia. That proof is a liability in a grocer’s shop. In contrast, normal math is easy. One apple and one apple make two apples as most people learn in kindergarten. So should we switch back to normal math at all levels?
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