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Criticism of traditional mathematics instruction originates with advocates of alternative methods of instruction, such as Reform mathematics.These critics cite studies, such as The Harmful Effects of Algorithms in Grades 1–4, which found specific instances where traditional math instruction was less effective than alternative methods.
In abstract algebra, given a magma with binary operation ∗ (which could nominally be termed multiplication), left division of b by a (written a \ b) is typically defined as the solution x to the equation a ∗ x = b, if this exists and is unique. Similarly, right division of b by a (written b / a) is the solution y to the equation y ∗ a = b ...
Long division is the standard algorithm used for pen-and-paper division of multi-digit numbers expressed in decimal notation. It shifts gradually from the left to the right end of the dividend, subtracting the largest possible multiple of the divisor (at the digit level) at each stage; the multiples then become the digits of the quotient, and the final difference is then the remainder.
Divide and choose (also Cut and choose or I cut, you choose) is a procedure for fair division of a continuous resource, such as a cake, between two parties. It involves a heterogeneous good or resource ("the cake") and two partners who have different preferences over parts of the cake (both want as much of it as possible).
Non-traditional constructivist assessment strategies include: Oral discussions: The teacher presents students with a "focus" question and allows an open discussion on the topic. KWL(H) Chart (What we know, What we want to know, What we have learned, How we know it). This technique can be used throughout the course of study for a particular ...
"The Phoenix Project" later became the Web-based learning environment within the Division of the Biological Sciences at the University of Chicago. Swanton High School in Ohio used learning management systems to track student progress, as well as testing results, satellite courses, videodiscs, Hypercard, QuickTime video, and Internet connections ...