Role of mathematics

The purpose of this study was to explore of the role of language switching in a group of Iranian bilingual students while they were involved in mathematical problem solving. Language switching has been viewed as a common practice in bilingual students in their classroom, particularly for mathematics learning. In bilingual students, using their first language to solve at least part of a problem may facilitate mathematical thinking and lead to a successful problem solving process.

171p runthenight07 01-03-2023 5 3   Download

Purpose of the research: On the basis of identifying necessary metacognitive skills, the role and significance of those metacognitive skills for students of Primary Education, the thesis gives out the procedure and proposes an model of organizing activities, designs specific activities applied in the subjects of mathematics teaching methods to train metacognitive skills for students of Primary Education.

27p thebadguys 08-06-2021 14 4   Download

Elliptic units, which are obtained by evaluating modular units at quadratic imaginary arguments of the Poincar´e upper half-plane, provide us with a rich source of arithmetic questions and insights. They allow the analytic construction of abelian extensions of imaginary quadratic fields, encode special values of zeta functions through the Kronecker limit formula, and are a prototype for Stark’s conjectural construction of units in abelian extensions of number fields.

47p noel_noel 17-01-2013 47 8   Download

Dedicated to the memory of Gert Kjærg˚ Pedersen ard Abstract In the process of developing the theory of free probability and free entropy, Voiculescu introduced in 1991 a random matrix model for a free semicircular system. Since then, random matrices have played a key role in von Neumann algebra theory (cf. [V8], [V9]). The main result of this paper is the follow(n) (n) ing extension of Voiculescu’s random matrix result: Let (X1 , . . . , Xr ) be a system of r stochastically independent n × n Gaussian self-adjoint random matrices as in Voiculescu’s random matrix paper...

66p noel_noel 17-01-2013 53 6   Download

This paper deals with some questions about the dynamics of diffeomorphisms of R2 . A “model family” which has played a significant historical role in dynamical systems and served as a focus for a great deal of research is the family introduced by H´non, which may be written as e fa,b (x, y) = (a − by − x2 , x) b = 0.

27p tuanloccuoi 04-01-2013 42 6   Download

In the first two articles of this series, we investigated various higher analogues of Gauss composition, and showed how several algebraic objects involving orders in quadratic and cubic fields could be explicitly parametrized. In particular, a central role in the theory was played by the parametrizations of the quadratic and cubic rings themselves. These parametrizations are beautiful and easy to state.

33p tuanloccuoi 04-01-2013 53 7   Download

Two centuries ago, in his celebrated work Disquisitiones Arithmeticae of 1801, Gauss laid down the beautiful law of composition of integral binary quadratic forms which would play such a critical role in number theory in the decades to follow. Even today, two centuries later, this law of composition still remains one of the primary tools for understanding and computing with the class groups of quadratic orders. It is hence only natural to ask whether higher analogues of this composition law exist that could shed light on the structure of other algebraic number rings and fields. ...

35p tuanloccuoi 04-01-2013 53 9   Download

To the memory of Rodica Simion The goals of this paper are two-fold. First, we prove, for an arbitrary finite root system Φ, the periodicity conjecture of Al. B. Zamolodchikov [24] that concerns Y -systems, a particular class of functional relations playing an important role in the theory of thermodynamic Bethe ansatz. Algebraically, Y -systems can be viewed as families of rational functions defined by certain birational recurrences formulated in terms of the root system Φ.

43p tuanloccuoi 04-01-2013 49 7   Download