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8 results on '"ASSOCIATIVE law (Mathematics)"'

1. Some Properties of the Sum C1(h, k).

Author

Cetin, Elif

Subjects
ARITHMETIC, ADDITION (Mathematics), BINARY operations, MATHEMATICS, ASSOCIATIVE law (Mathematics)
Abstract

In [10], we have investigated properties of the sum C1(h, k). In this paper, we will give some other arithmetic properties of the sum C1(h, k). Moreover, in the light of the sum B1(h, k), which has also defined in [10], we will give specific values of the sum C1(h, k) when h + k is an odd number. Finally, we will give a relation between the sum C1(h, k) and the Hardy-Berndt sum s5(h, k) for a special case. [ABSTRACT FROM AUTHOR]

Published
2017
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2. Supporting conceptual understanding of the associative and distributive properties through digital gameplay.

Author

Denham, A.R.

Subjects
*VIDEO games in education, *VIDEO game design, *EDUCATIONAL outcomes, *ASSOCIATIVE law (Mathematics), *DISTRIBUTIVE law (Mathematics), *STUDY & teaching of multiplication, *MATHEMATICS education (Elementary), *ELEMENTARY education, *CHILDREN, *ALTERNATIVE education, *ANALYSIS of covariance, *COMPUTER assisted instruction, *CONFIDENCE intervals, *GAMES, *MATHEMATICS, *SCHOOL children, *ONE-way analysis of variance
Abstract

There has been a steady rise in the support for games as learning environments. This support is largely based on the strong levels of engagement and motivation observed during gameplay. What has proven difficult is the ability to consistently design and develop learning games that are both engaging and educationally viable. Those in the game-based learning community contend the solution is to tightly integrate instructional objective(s) within the game's mechanics. In order to investigate whether or not intrinsic integration would aid in game design, an experimental study was conducted with 111 fourth and fifth graders in which three versions of a game were designed in order to determine which approach would have a more significant impact on conceptual understanding of the associative and distributive properties. It was found that those who played the intrinsic version of the game (properties mapped to game mechanics) had significant learning gains compared with those who played the extrinsic version. Perceptions of the game are also discussed, along with future directions. [ABSTRACT FROM AUTHOR]

Published
2015
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3. Bipolar-Valued Fuzzy Ideals in LA-Semigroups.

Author

Yaqoob, Naveed

Subjects
*ALGEBRA, *TOPOLOGY, *ASSOCIATIVE law (Mathematics), *COMMUTATIVE law (Mathematics), *MATHEMATICS
Abstract

In this paper the notion of bipolar-valued fuzzy LA-subsemigroups is introduced and also some properties of bipolar- valued fuzzy left (right, bi-, interior) ideals of LA-semigroups has been discussed. [ABSTRACT FROM AUTHOR]

Published
2012
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4. No Three Element Set is Ruinous.

Author

Donnelly, John

Subjects
*BOREL subgroups, *MATHEMATICS, *HOMOTOPY theory, *ASSOCIATIVE law (Mathematics)
Abstract

The group F was invented in the 1960's by Richard Thompson. Geoghegan then asked the question of whether or not F is an example of a finitely presented nonamenable group which has no free subgroup on two generators. It has been shown that the existence of a ruinous set implies the nonamenability of F. In this paper, we show that no three element set is ruinous. [ABSTRACT FROM AUTHOR]

Published
2006
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5. A Generalized General Associative Law.

Author

Wardlaw, William P.

Subjects
*ASSOCIATIVE law (Mathematics), *MATHEMATICS
Abstract

Focuses on the General Associative Law (GAL) in mathematics. Generalizations about the GAL; Different treatments of the GAL in the literature.

Published
2001
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6. The generalized associative law in smooth groups.

Author

Demirci, Mustafa

Subjects
*ASSOCIATIVE law (Mathematics), *ALGEBRA, *GROUP theory, *FUZZY sets, *MATHEMATICS
Abstract

In this paper, assuming a multiplicative symbol for smooth groups, successive products in smooth groups are introduced as a counterpart to the products of a finite number of elements in classical group theory, and then a generalized associative law in smooth groups is formulated by means of successive products. Various elementary properties of successive products are established, and some applications of the generalized associative law in smooth groups are given. [ABSTRACT FROM AUTHOR]

Published
2005
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7. Compatible Group Operations.

Author

RUBIN, LOUIS

Subjects
*BINARY operations, *MATHEMATICS, *ASSOCIATIVE law (Mathematics), *ELIMINATION (Mathematics), *ADDITION (Mathematics)
Abstract

Let X be a nonempty set, and suppose that ⋅ and ⊙ are binary operations on X such that, for all a, to, c ∈ X, (a ⋅ b) ⊙ c = a ⋅ (b ⊙ c) and (a ⊙ c) ⋅ c = a ⊙ (b ⋅ c). Then we say that ⋅ and ⊙ are compatible. In this article, we show that such operations arise on disjoint unions of isomorphic groups. In fact, given disjoint groups G and H, we show that G is isomorphic to H if and only if the group operations of G and H extend, respectively, to compatible group operations ⋅, ⊙ on G ∪ H. [ABSTRACT FROM AUTHOR]

Published
2016

8. ACTING IT OUT.

Subjects
ASSOCIATIVE law (Mathematics), MATHEMATICS, CREATIVE activities & seat work, ELEMENTARY education, ACTIVITY programs in education, EDUCATION
Abstract

The article presents a classroom activity for students in grades 2-3 in the United States to teach them about associative property in mathematics. A class supply of index cards will be programmed. The cards will be separated in three different stacks. The problem from the selection of the cards by three students will be solved by the class.

Published
2006

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