CSET Math Practice Tests

You have downloaded the CSET Math practice test from http://www.cset.nesinc.com/, now what? Now that you have reviewed the CSET practice tests at the website mentioned above, you should now identify buzzwords. Buzzwords are those lovely technical terms for the subject area you are studying. Being able to recognize them for the CSET Math may prove [...]

Binary Operations

Excerpt from the CSET study guide TYPES OF BINARY OPERATIONS Associative Operations    A binary operation is said to be associative if for all elements a, b and c we have (a x b) x c = a x (b x c). For convenience let’s drop the symbol for the operation and just write (ab)c [...]

Rational Numbers for the CSET

Excerpt from the CSET study guide The system of integers has a defect in that given integers m ¹ 0 and s, the equation mx = s may not have a solution. For example, 3x = 6 has the solution x = 2 but 4x = 6 has no solution. This defect is remedied by [...]

Integral Integrals for the CSET

Derivatives take us from a function to an expression, integrals take us the opposite direction– from an expression to a function. Riemann Sums A Riemann sum is an approximation for the area beneath a curve that is achieved using rectangles. In the graph below of y = x2 + 1, the interval [0, 3] is [...]

Complex Numbers for the CSET Math

Excerpt from the CSET Math Study Guide Teacher candidates studying for the CSET should know understand the complex number system. THE SYSTEM C OF COMPLEX NUMBERS The system C of complex numbers is the number system of ordinary algebra. It is the smallest set in which, for example, the equation x2 = a can be [...]

The Square Root of a Prime is Rational

Excerpt from the CSET Math Study Guide …ok not really. The square root of a prime is irrational. Assume that p is prime and the square root of p is rational (this is not really true, but it is the process involved using the proof of contradiction). This means there are (positive) integers a, b [...]

If You Don’t Know What Natural Numbers Are, Don’t Even Bother Taking the CSET

Excerpt from the CSET Math Study Guide Math teacher candidates studying for the CSET math need to know what natural numbers are. Natural Numbers The Peano Postulates Let there exist a non-empty set N such that Postulate I: 1 Î N Postulate II: For each n Î N there exists a unique n* Î N, [...]

Sets for the CSET Math

Excerpt from the CSET Math Study Guide Let’s review Sets for the CSET Math. Any collection of objects as (a) the points of a given line segment, (b) the lines through a given point in ordinary space, (c) the natural numbers less than ten, (d) the five Jones boys and their dog… will be called [...]

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