scholarly journals On the Complexity of Some Problems on Groups Input as Multiplication Tables

2001 ◽  
Vol 63 (2) ◽  
pp. 186-200 ◽  
Author(s):  
David Mix Barrington ◽  
Peter Kadau ◽  
Klaus-Jörn Lange ◽  
Pierre McKenzie
Author(s):  
Michał Dębski ◽  
Jarosław Grytczuk

Author(s):  
Trevor Davis Lipscombe

This chapter presents advice on how to avoid simple mistakes when performing mental calculations at high speed. It includes a method to speed up the rate at which you recite your multiplication tables. This can save fractions of a second, which, in an exam with many such multiplications, can be crucial. It urges neat handwriting, and shows the superfluity of zeros at the end, or decimal points in the middle of a number, provided you make estimates before calculating an answer. It presents a quick look at factors, which can slash seconds from the time it take to multiply and divide, and introduces the art of shunting.


1989 ◽  
Vol 33 (3) ◽  
pp. 169-173 ◽  
Author(s):  
Wendy A. Rogers ◽  
Arthur D. Fisk

This experiment investigated whether well-learned “automatic” processes remain stable as a function of age, as well as whether the ability to modify automatic processes is disrupted for older adults. We used an arithmetic “Stroop” task. Nineteen young (mean 22) and 19 old adults (mean 75) participated in three sessions for a total of 450 trials. The young subjects had faster verification times, overall, than the old adults. Both young and old subjects showed significant Stroop interference. These results support the hypothesis that automatic processes, in this case access of addition and multiplication tables, are maintained for old adults. Furthermore, both groups reduced their RT with practice. For the young adults, there was a decrease in interference with practice suggesting that they were learning to inhibit the automatic process of performing the arithmetical operation. However, the old adults showed no significant decrease in interference, which implies that they were impaired in their ability to inhibit automatic processes, even when those processes interfered with performance. Theoretical and practical training implications are discussed.


1976 ◽  
Vol 23 (3) ◽  
pp. 187-193
Author(s):  
Marilyn Burns

The IDEAS this month are for investigating multiplication facts and multiples in some different ways. The activities presented do not guarantee that all students will have their multiplication tables committed to memory, but they are an attempt to provide a variety of experiences in which children have the opportunity to learn the facts through repeated exposure and use. Other activities that will help to fill your classroom with the mysteries of multiplication appear in the following IDEAS sections in the Arithmetic Teacher: November. 1974. pp. 608-9, and April. 1975. pp. 301-2.


2012 ◽  
Vol 353 (1) ◽  
pp. 261-285
Author(s):  
Petr Vojtěchovský ◽  
Ian M. Wanless

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