scholarly journals Equivalent series theorem and obtaining some new summable numerical series using fast expansion polynomials

2021 ◽  
Vol 1902 (1) ◽  
pp. 012027
Author(s):  
A D Chernyshov ◽  
D S Saiko ◽  
E N Kovaleva
Keyword(s):  
1983 ◽  
Vol 67 (440) ◽  
pp. 95 ◽  
Author(s):  
J. M. H. Peters
Keyword(s):  

Author(s):  
Matthew A. Pons
Keyword(s):  

1959 ◽  
Vol 91 (1-2) ◽  
pp. 19-31
Author(s):  
Gerard Clauson
Keyword(s):  

The Turkish Languages are unusually rich in numerical series, and there are pecularities in their numerical system which are, I believe, unparallelled elsewhere. The main facts are well known, and it might be thought that there was nothing more to be said about them; but several interesting points have never been properly discussed. The purpose of this paper is to call attention to them.


2019 ◽  
Vol 9 (3) ◽  
pp. 1 ◽  
Author(s):  
Mojahed Mousa ◽  
Gyöngyvér Molnár

Computer-based assessment offers unique possibilities for collecting data about student’s cognitive development and using this data to improve learning. Its innovative approach to assessment (Thurlow, et al., 2010) encourages educational systems worldwide to involve it. This study introduces and tests the applicability of computer-based testing in the Palestinian schools by measuring fourth (N=123) and fifth (N=125) graders (age ± 9-10) inductive reasoning skills. The online test consists of 60 items measuring figural series (18 items), figural analogy (18 items), numerical series (16 items) and numerical analogy (8 items). Automatic scoring was used and at the end of the test instant feedback was provided for the students. The online data collection was carried out via the eDia platform (Molnár & Csapó, 2019) using the schools’ infrastructure. The time spent to complete the test was approximately 60 minutes. The reliability (Cronbach-alpha) of the inductive reasoning test was .807. The test proved to be difficult for the students M=25.29% SD=10.94%. There were no significant gender differences (M_girls=26.75, M_boys=24.13; t=-1,92, p>.05). Students with higher school achievement proved to be more developed in inductive reasoning skill (M_school_advanced=40.08, M_school_average=25.48; M_school_low=14.50, F=528.16, p<.001; r=.89, p<.001), which indicates that its assessment and development must be included in the Palestine school curriculum. This study provided evidence that (1) computer-based testing can be introduced in the Palestinian school system even at early ages; (2) the development of inductive reasoning is an integral part of the Palestinian school curriculum, thus the stimulation of it is pursued explicitly in Palestinian schools.


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