ANSWER THE FOLLOWING:
65 + 49 =
58 + 79 =
126 + 199 =
Tell me how you solved this mentally.
65 + 49 = (64 + 1) + (50 - 1) = 64 + 50 = 114.
The move from elementary arithmetic to algebra requires students to build on previously acquired knowledge, but to use entirely new types of thinking. Algebra becomes more meaningful as students face problems that cannot be solved with arithmetic. Problems with two unknowns are good examples, but are probably too difficult to use as a beginning point in the teaching of algebra.