Mathematics education should go hand in hand with science education. This certainty, albeit conditional on the axioms, is the heart and soul of mathematics, and should be part of every student's understanding of what mathematics is about. Furthermore, a proof is not just an exercise in two column formality. A proof is our way of understanding why a mathematical statement is true . Euclid's proof of the infinitude of primes shows us how we can always produce a new prime, even when we think we have listed them all.
Students have different personalities, needs and abilities.
Thus, high schools must challenge each student to learn as much in each subject, including mathematics, as is possible. In mathematics, this may entail some sort of tracking, but of a positive kind. The minimal algebra course should include the following. Basic manipulations, such as the addition of simple algebraic fractions, the laws of exponents, and how to work with formulas. A2. For students who are particularly interested in math, science or engineering, some additional topics should be added.