k-Arithmetic Sequences—Theory and Applications

2016 ◽  
pp. 37-56
Author(s):  
Adam Kołacz
Keyword(s):  
Arithmetic Sequences

On subsequences of arithmetic sequences

1988 ◽  
Vol 37 (10) ◽  
pp. 1314-1315 ◽  
Author(s):  
D.M. Mandelbaum
Keyword(s):  
Arithmetic Sequences

scholarly journals Georges Cuisenaire’s numbers in colour. A teaching aid that survived the 1950s

2020 ◽  
pp. 355-368
Author(s):  
Dirk De Bock
Keyword(s):  
School Teacher ◽  
Teaching Material ◽  
Primary School Teacher ◽  
Volume Calculation ◽  
Teaching Aid ◽  
Arithmetic Sequences ◽  
Basic Concepts ◽  
1960S And 1970S ◽  
Cuisenaire Rods ◽  
Modern Mathematics

In 1952, a Belgian primary school teacher, Georges Cuisenaire, published Les nombres en couleurs, a booklet in which the author describes his invention and explains a corresponding method for teaching elementary arithmetic. Cuisenaire materialized the numbers from one to ten by means of rods of corresponding lengths and in different colours. The rods provided a concrete tool for exploring and gaining insight in basic concepts and skills, such as the four basic operations, finding divisors and multiples, working with fractions, the decimal system, arithmetic sequences, and area and volume calculation. From the mid-1950s, with the support of Caleb Gattegno, the Cuisenaire rods broke through worldwide. In subsequent years, empirical research into the effectiveness of the Cuisenaire’s method was initiated and in several countries Cuisenaire Associations were founded. In the late 1960s and 1970s, a number of attempts were made to use the material for the teaching of typical modern mathematics contents to (very) young children, but the use of the rods in this context was sometimes far-fetched and did not break through. Keywords: CIEAEM, Cuisenaire rods, numbers in colour, teaching aid, teaching material, Georges Cuisenaire, Caleb Gattegno

scholarly journals q-Adic spectral analysis of some arithmetic sequences

1989 ◽  
Vol 65 (2) ◽  
pp. 249-263
Author(s):  
Brigitte Mosse
Keyword(s):  
Spectral Analysis ◽  
Arithmetic Sequences

scholarly journals Minimal graded free resolutions for monomial curves defined by arithmetic sequences

2013 ◽  
Vol 388 ◽  
pp. 294-310 ◽  
Author(s):  
Philippe Gimenez ◽  
Indranath Sengupta ◽  
Hema Srinivasan
Keyword(s):  
Free Resolutions ◽  
Monomial Curves ◽  
Arithmetic Sequences ◽  
Graded Free Resolutions

Minimal graded free resolutions for monomial curves in 𝔸4defined by almost arithmetic sequences

2016 ◽  
Vol 45 (2) ◽  
pp. 521-551 ◽  
Author(s):  
Achintya Kumar Roy ◽  
Indranath Sengupta ◽  
Gaurab Tripathi
Keyword(s):  
Free Resolutions ◽  
Monomial Curves ◽  
Arithmetic Sequences ◽  
Graded Free Resolutions
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