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The fundamental objective of this study is to ascertain what metaphors and mental images that indigenous primary school pupils have in regard to mathematics. There are limited studies on the images and metaphors among indigenous primary school pupils. Forty Batek pupils between the ages of 7 and 14 who enrolled in the "Chup Badui Sikulah" programme at a rural school in Taman Negara Pahang participated in this study. Data was collected by using a written question form, which was then analysed using descriptive statistics in the form of percentages. The data collection was conducted by the classroom teacher. The study discovered that indigenous primary school pupils associated mathematics with physical exercise activities. Aside from that, most indigenous primary school pupils chose professions and tools to relate to mathematics, such as traders and pencils. Furthermore, drawings of mathematics by indigenous primary school pupils emphasized geometric shapes. In this context, the analysis of indigenous pupils' drawings assists in the formulation of ideas about their self-perceptions on the role of a mathematics pupil. These representations of mathematics can be done depending on what is easy to draw at the time and place in question. Similarly, the metaphors that they employed to depict themselves when studying mathematics may be based on random thoughts, and they may react to queries with minimal reflective thought. As a result, future research should incorporate more components into the instrument in order to gain in depth understanding of the mathematics held by indigenous primary school pupils. Finally, the images and metaphors presented in this study can be used to interpret the beliefs and learning processes of indigenous primary school pupils in a specific context. [ABSTRACT FROM AUTHOR]

In physics and mathematics educational environments, meaningful learning paths should be balanced interactive explorations of the different epistemological and cognitive phases of the modelling cycle. Our approach in this context involves sequences of interactive engagement learning activities with computational modelling that explore the different kinds of modelling, progressively introduce scientific computation, generate, and resolve cognitive conflicts in the understanding of physics and mathematics, and comparatively analyze complementary mathematical model representations. In this work we present a learning sequence about light polarization for intermediate science, technology, engineering, and mathematics (STEM) university courses during which students can create and explore in the computer relevant mathematical physics models and animations that help and complement the learning processes in theoretical lectures and problem-solving paper and pen activities. [ABSTRACT FROM AUTHOR]

By using the direct method, we create precise travelling wave solutions to the loaded nonlinear Degasperis-Procesi equation in this article. It has been proven that this method works well for locating these precise solutions. We construct exact travelling wave solution for loaded nonlinear Degasperis-Procesi equation. For specific values of the parameters, the traveling wave solutions of this equation lead directly to the solitary wave solutions. The Matlab program has been used to perform all calculations. The method offers a very efficient and straightforward way to formulate the precise travelling wave solutions to nonlinear wave equations appearing in mathematical physics and engineering, according to our results. [ABSTRACT FROM AUTHOR]

This research has been carried out to obtain the overviews of critical thinking questions found due to theoretical and mathematical physics topics found in senior high school physics textbooks. This research is a descriptive research, in which the data was collected through observation by doing document analysis and interviews. Observation was done to physics textbooks currently used in Indonesia, i.e. physics textbooks which have passed the assessment of the national education standard body (BSNP), that are regulated by the Decree of Education and Culture Minister 148/P/2016 on Determination of the Titles of Textbooks for Specialization Courses at Senior High Schools Level. The interviews were done with teachers and students enrolled at tenth, eleventh, and twelfth grades of a senior high school in Bandung District in academic year of 2020/2021. The interviews were oriented to reveal the physics topics that are considered to be theoretical and mathematical by teachers and students. Critical thinking analysis to questions found in physics textbooks was based on the critical thinking indicators developed by Tiruneh et al (2016). Based on the data analysis, it was found that: 1) tenth grade physics topics which are considered to be theoretical and mathematical are vectors, two dimensional motion, and harmonic oscillation, 2) eleventh grade physics topics which are considered to be theoretical and mathematical are kinetic theory of gases, thermodynamics, and light, 3) twelfth grade physics topics which are considered to be theoretical and mathematical are theory of relativity, quantum phenomena, as well as atom and radioactivity, 4) the availability of critical thinking questions (CTQs) in such theoretical and mathematical physics topics found in the physics textbooks in Indonesia is relatively minimum, 5) CTQs mostly found in every physics textbook are CT questions dealing with the aspect of likelihood and uncertainty analysis, especially for indicator of predicting the probability of event, and 6) CTQs dealing with the aspect of problem-solving and decision-making were not found in all physics textbooks. [ABSTRACT FROM AUTHOR]

This paper attempts to obtain generating functions for the polynomials defined by Chebyshev denoted as Tn (x) (Special Ultra Spherical Polynomials of the first kind) using Weisner's group-theoretic method by interpreting 'n' suitably. It is possible to derive at least three generating relations for various special functions of mathematical physics using this method introduced by Louis Weisner. In approximation theory, the roots (nodes) of Tn (x) are used as matching points for optimizing polynomial interpolation. Chebyshev polynomials are also used in many models to study them elegantly, including filters in signal processing distributed networks. [ABSTRACT FROM AUTHOR]

Viscoelastic sloping multilayer structures with filler have found their application in aircraft construction, construction, design of space structures and other areas. The free vibrations of two flat spherical viscoelastic shells, between which it is filled with a deformable filler, are investigated in the work. The main purpose of the article is to develop a scientific basis for constructing a method for solving the problem, and an algorithm for natural oscillations of spherical shells with a filler. Parametric analysis of the natural frequency of the physical and mechanical parameters of the mechanical system is also carried out. As an example, linear natural oscillations of three-layer structures for shells of free support are considered. The shell materials are isotropic and have identical rheological properties, as well as asymmetric in shell thickness. The viscoelastic properties of the shell and filler materials are subject to the integral Boltzmann-Voltaire relations. The oscillation equations of the filler satisfy the Lame equations of visco-elasticity. And the shell equation is derived on the basis of the Kirchhoff-Love theory. The developed methodology is based on the method of separation of variables, special functions of mathematical physics, the methods of Muller, Gauss and Laplace. It is found that the real and imaginary parts of the natural frequencies increase with increasing stiffness of the shell. Taking into account the viscoelastic properties of the shells and the filler allows to increase the free frequency fluctuations up to 15-20%. [ABSTRACT FROM AUTHOR]

Wide scale adoption of hearing protector fit testing (HPFT), involves overcoming barriers to implementation. Many challenges were identified and discussed at the International Hearing Protector Fit-Testing Symposium such as the time and resources for conducting HPFT, scalability, and articulating the return on investment. Efforts to address several of these challenges were presented. For example, laboratory test methods for measuring the attenuation characteristics of a hearing protection device (HPD) must satisfy strict acoustic and equipment requirements imposed by consensus standards. The laboratory methods are not suitable for use in occupational settings. For subjective threshold-based methods, efficiency can be realized by reducing the test time by testing fewer frequencies and creating more efficient psychophysical paradigms. Objective in-ear measurements of attenuation and/or noise exposure holds promise for minimizing the burden to implementing fit testing. Field Microphone-in-Real-Ear methods provide a rapid assessment of HPD attenuation for hearing protectors compatible with the fit-test system. While HPFT estimates attenuation, the worker’s actual daily noise exposure is still an estimate. Hearing protection systems incorporating in-ear dosimetry or exposure assessments can provide continuous monitoring of sound exposures. This article reviews novel approaches to developing better exposure assessment tools. [ABSTRACT FROM AUTHOR]