# Shared Flashcard Set

## Details

Alternative Algorithms
EXAM 2
15
Mathematics
12/08/2010

Term
 ARTICLE
Definition
Term
 Partial Sums Algorithm
Definition
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Term
 What is the advantage of using the partial-sums algorythm?
Definition
 The advantage of this method, for students whohave difficulty with the traditional algorithm, is that mental regrouping is not required; all the partialsums are recorded separately before being combined.   Also, the methodyields a correct sum whether the partial sums beginwith the ones or the left-most column.Left-to-right addition (see figs. 1b and
Term
 Scratch Method
Definition
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Term
Definition
 Students saw an advantage in recording thepartial sums, which does not require them to carrynumbers mentally. Also, this algorithm appeals tostudents’ desire to work quickly because, as theexamples show, they do not have to record all thecomplete partial sums.
Term
Definition
 [image]   In figure 4, instead of a ten being taken from the6 tens, as would be done in the traditional algorithm,a ten is added to the 5 ones to give 15 ones.To compensate, 1 ten is added to the subtrahend,resulting in 8 tens. The 9 ones are then subtractedfrom the 15 ones. The next step is to add 10 tens tothe 6 tens in the minuend so that 8 tens can be subtracted.To compensate, 1 hundred is added to the 8 hundreds, yielding 9 hundreds. The amount of8 tens is then subtracted from 16 tens. Next, 10 hundredsadded to the 4 hundreds results in 14 hundreds;to compensate, 1 thousand is added to thesubtrahend. Then 9 hundreds can be subtractedfrom 14 hundreds, and 2 thousand is subtractedfrom 5 thousand.
Term
 What is an advantage of using the Equal Additions Method of Subtraction?
Definition
 The main advantage of this procedureis that it does not rely on one’s skill in regroupingbut on a knowledge of individual addition andsubtraction facts. Equal additions is an interestingoptional method for relating subtraction to addition.
Term
 Low stress Subtraction
Definition
 [image]   Low-stress subtraction involves renaming theminuend and writing it between the original minuendand the subtrahend before subtracting individualdigits (Hutchings 1975). In figure 5, 6 tens arerenamed as 5 tens and 10 ones; the 10 ones are regrouped with the 5 ones to make 15 ones. Next,because 7 tens cannot be subtracted from 5 tens,4 hundreds is renamed as 3 hundreds and 10 tens;the 10 tens are regrouped with the 5 tens to make15 tens. This process continues until the minuendis rewritten so that no impasses to subtractionremain and the problem is ready to be completed.
Term
 Partial products algorythm
Definition
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Term
 What is an advantage of using the partial products algorythm?
Definition
 The partial-products method does not requiresimultaneous regrouping of addition with multiplication.Teachers can easily assess multiplicationfacts that students consistently miss by examiningpartial products before they are renamed andadded.
Term
 Lattice Multiplication
Definition
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Term
 Stacking Algorythm for division
Definition
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Term
 NOTES
Definition
Term
 BREAK APART NUMBERS STRATEGY
Definition
 Based on place value EXAMPLE: 456 + 20 =(400 + 50 +20 +6)470 + 6 476   Count bys 455 + 10 + 10 455 + 10 = 465 465 + 10 = 475 475 + 1 = 476   Count on 237 + 43 237 + 10 + 10 + 10 + 10 + 1 + 1 +1 247, 257, 267, 277, 278, 279, 280
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