Asosiasi Antara Kemampuan Analogi Dengan Komunikasi Matematik Siswa SMP

This research is a quantitative research with cross-sectional design that aims to examine the association between students 'mathematical analogy abilities with students' mathematical communication abilities. The subject of this research is 33 students of class VII in one of Junior High School of Kampar Regency of Riau Province. The instrument used is a essay test about the problem of mathematical analogy and mathematical communication. Data analysis techniques to test the association of both capabilities based on the category of contingency association test (Pearson Chi Square test and contingency coefficient). The results showed that this study was an association between students' mathematical analogy abilities with students' mathematical communication abilities. The degree of association between students 'mathematical analogy abilities with students 'mathematical communication abilities is high.This research is a quantitative research with cross-sectional design that aims to examine the association between students 'mathematical analogy abilities with students' mathematical communication abilities. The subject of this research is 33 students of class VII in one of Junior High School of Kampar Regency of Riau Province. The instrument used is a essay test about the problem of mathematical analogy and mathematical communication. Data analysis techniques to test the association of both capabilities based on the category of contingency association test (Pearson Chi Square test and contingency coefficient). The results showed that this study was an association between students' mathematical analogy abilities with students' mathematical communication abilities. The degree of association between students 'mathematical analogy abilities with students 'mathematical communication abilities is high

Topological versus rheological entanglement length in primitive path analysis protocols

Primitive path analysis algorithms are now routinely employed to analyze entanglements in computer simulations of polymeric systems, but different analysis protocols result in different estimates of the entanglement length, N_e. Here we argue that standard PPA measures the rheological entanglement length, typically employed by tube models and relevant to quantitative comparisons with experiment, while codes like Z or CReTA also determine the topological entanglement length. For loosely entangled systems, a simple analogy between between phantom networks and the mesh of entangled primitive paths suggests a factor of two between the two numbers. This result is in excellent agreement with reported values for poly-ethylene, poly-butadiene and bead-spring polymer melts.Comment: 3 pages, no figure

INVARIANT SUBSPACES AND HYPER-REFLEXIVITY FOR FREE SEMIGROUP ALGEBRAS

In this paper, we obtain a complete description of the invariant subspace structure of an interesting new class of algebras which we call free semigroup algebras. This enables us to prove that they are reflexive, and moreover to obtain a quantitative measure of the distance to these algebras in terms of the invariant subspaces. Such algebras are called hyper-reflexive. This property is very strong, but it has been established in only a very few cases. Moreover the prototypes of this class of algebras are the natural candidate for a non-commutative analytic Toeplitz algebra on n variables. The case we make for this analogy is very compelling. In particular, in this paper, the key to the invariant subspace analysis is a good analogue of the Beurling theorem for invariant subspaces of the unilateral shift. This leads to a notion of inner-outer factorization in these algebras. In a sequel to this paper [13], we add to this evidence by showing that there is a natural homomorphism of the automorphism group onto the group of conformal automorphisms of the ball in Cn

Antipolar ordering of topological defects in active liquid crystals

ATP-driven microtubule-kinesin bundles can self-assemble into two-dimensional active liquid crystals (ALCs) that exhibit a rich creation and annihilation dynamics of topological defects, reminiscent of particle-pair production processes in quantum systems. This recent discovery has sparked considerable interest but a quantitative theoretical description is still lacking. We present and validate a minimal continuum theory for this new class of active matter systems by generalizing the classical Landau-de Gennes free-energy to account for the experimentally observed spontaneous buckling of motor-driven extensile microtubule bundles. The resulting model agrees with recently published data and predicts a regime of antipolar order. Our analysis implies that ALCs are governed by the same generic ordering principles that determine the non-equilibrium dynamics of dense bacterial suspensions and elastic bilayer materials. Moreover, the theory manifests an energetic analogy with strongly interacting quantum gases. Generally, our results suggest that complex non-equilibrium pattern-formation phenomena might be predictable from a few fundamental symmetry-breaking and scale-selection principles.Comment: final accepted journal version; SI text and movies available at article on iop.or

Effects of Analogy Instructional Strategy on Students' Performance in Wave Concept

The study investigated effect of analogy instructional strategy on SHS student’s performance on wave concept. The study involved one class of form two physics students in Navrongo Senior High School, selected through purposive and convenience sampling technique, totalling 52 students (12 female and 40 males). The individual teacher research strategy was adopted for the study in which the 52 students were taken through analogies. Data was collected using both qualitative and quantitative methods through pre intervention test and post intervention test items and unstructured interview. The students wrote a pre intervention test after which the analogies were used to teach the lesson. The students then wrote a similar test as a post intervention test. A change or otherwise in their performance was ascertained through gain analysis adopted from Richard Hake. The findings from the average normalised gain of the post and pre intervention test scores showed a gain of 0.66, indicating that an effectiveness of the analogy lessons in enhancing performance. A dependent sample t-test conducted showed that there was a significant difference in the pre intervention test and post intervention test score, p= 0.000 (α=0.05). The study therefore recommends the use of analogy instructional strategy in physics lessons at the SHS level. Keywords: analogy, physics, teaching, conceptual conten

Shock dynamics in non-uniform media

The theory of shock dynamics in two dimensions is reformulated to treat shock propagation in a non-uniform medium. The analysis yields a system of hyperbolic equations with source terms representing the generation of disturbances on the shock wave as it propagates into the fluid non-uniformities. The theory is applied to problems involving the refraction of a plane shock wave at a free plane gaseous interface. The ‘slow–fast’ interface is investigated in detail, while the ‘fast–slow’ interface is treated only briefly. Intrinsic to the theory is a relationship analogous to Snell's law of refraction at an interface. The theory predicts both regular and irregular (Mach) refraction, and a criterion is developed for the transition from one to the other. Quantitative results for several different shock strengths, angles of incidence and sound-speed ratios are presented. An analogy between shock refraction and the motion of a force field in unsteady one-dimensional gasdynamics is pointed out. Also discussed is the limiting case for a shock front to be continuous at the interface. Comparison of results is made with existing experimental data, with transition calculations based on three-shock theory, and with the simple case of normal interaction

COBRA framework to evaluate e-government services: A citizen-centric perspective

E-government services involve many stakeholders who have different objectives that can have an impact on success. Among these stakeholders, citizens are the primary stakeholders of government activities. Accordingly, their satisfaction plays an important role in e-government success. Although several models have been proposed to assess the success of e-government services through measuring users' satisfaction levels, they fail to provide a comprehensive evaluation model. This study provides an insight and critical analysis of the extant literature to identify the most critical factors and their manifested variables for user satisfaction in the provision of e-government services. The various manifested variables are then grouped into a new quantitative analysis framework consisting of four main constructs: cost; benefit; risk and opportunity (COBRA) by analogy to the well-known SWOT qualitative analysis framework. The COBRA measurement scale is developed, tested, refined and validated on a sample group of e-government service users in Turkey. A structured equation model is used to establish relationships among the identified constructs, associated variables and users' satisfaction. The results confirm that COBRA framework is a useful approach for evaluating the success of e-government services from citizens' perspective and it can be generalised to other perspectives and measurement contexts. Crown Copyright © 2014.PIAP-GA-2008-230658) from the European Union Framework Program and another grant (NPRP 09-1023-5-158) from the Qatar National Research Fund (amember of Qatar Foundation