Conjection
a statement that seems to be true or false.
Inductive Reasoning
the process of using patterns to make a conjecture
Arithmetic Series
a sum in which the addends are consecutive terms in an arithmetic sequence
Problem
has no immediately obvious solution
Problems
should be enbedded in the curriculum as real-life situations
George Palya
wrote a book called, How to Solve It
Variable
a symbol, usually a letter, used to represent an unknown quantity
Algebraic Expression
contains at least one variable and possibly numbers and operations
Additive Property of Equality
for any numbers; a, b, and c, if a = b, then a +b = b+c
Multiplication Property of Equality
if a is = to b, then ac=bc
Deductive Reasoning
the process of using statements and logical reasoning to reach a conclusion
Statement
a declarative sentence that is either true or false but NOT both
Negation of a statement
is a statement with the opposite truth value
Quantifiers
all, every, any
no, none
some, at least one
Compound Statement
two statements connected by the word "and" or "or
Valid Arguments
an argument is valid if the premise gaurentee the conclusion
Number
is a quantity
Numeral
is a representation of a number
Hindu-Arabic Numeration System
also called the base 10 system
(regroup @ 10)
Counterexample
a way to prove whether a statement is false