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The equivalence class of (a, b) contains either (a – b, 0) if a ≥ b, or (0, b – a) otherwise. If n is a natural number, one can denote +n the equivalence class of (n, 0), and by –n the equivalence class of (0, n). This allows identifying the natural number n with the equivalence class +n. Addition of ordered pairs is done component-wise:
For example, multiplication is granted a higher precedence than addition, and it has been this way since the introduction of modern algebraic notation. [ 2 ] [ 3 ] Thus, in the expression 1 + 2 × 3 , the multiplication is performed before addition, and the expression has the value 1 + (2 × 3) = 7 , and not (1 + 2) × 3 = 9 .
Helping children learn the basic facts is an important goal in the Everyday Mathematics Curriculum. Most children should have developed an automatic recall of the basic addition and subtraction facts by the end of the second grade. They should also know most of their 1, 2, 5, and 10 multiplication facts by this time.
In the United States there has been general cooling of the "Math wars" during the first decade of the 21st century as reform organizations such as the National Council of Teachers of Mathematics and national committees, such as the National Mathematics Advisory Panel convened by George W. Bush, have concluded that elements of both traditional ...
Classroom management is the process teachers use to ensure that classroom lessons run smoothly without disruptive behavior from students compromising the delivery of instruction. It includes the prevention of disruptive behavior preemptively, as well as effectively responding to it after it happens.
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