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1

MOXNES, JOHN F., and KJELL HAUSKEN. "A MATHEMATICAL MODEL FOR TRAINING IMPULSE AND LACTATE INFLUX AND OUTFLUX DURING EXERCISE." International Journal of Modern Physics C 20, no. 01 (2009): 147–77. http://dx.doi.org/10.1142/s0129183109013522.

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This paper provides a mathematical description based on the theory of differential equations, for the dynamics of lactate production and removal. Analytical and numerical results for training/exercise of endurance of athletes are presented based on the common concept of training impulse (Trimp). The relationships between activity, production rate, and removal strategies of lactate are studied. Parameters are estimated from published data. A model for optimum removal of lactate after exercise is developed. The model provides realistic predictions when compared with experimental results. We show some specific examples for the usefulness of the mathematical model by studying some recent problems discussed in the literature. (a) Is interval exercise more beneficial than steady-state exercise? (b) What is the optimum aerobic power during recovery? We discuss whether steady-state exercise gives higher Trimp than interval exercise, when imposing an upper boundary for the lactate concentration as a constraint. The model allows for testing all imaginable kinds of steady-state and interval exercises in search of the optimal exercise regime for individuals with various kinds of characteristics. In general, the dynamic model constitute a powerful tool describing the processes by which the concentration of lactate can be studied and controlled to decrease fatigue and increase endurance.
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Stepanyuk, S. I., V. Yu Koval, V. P. Tkachuk, Z. М. Lomaka, Yu А. Grabovskiy, and L. L. Kharchenko-Baranetska. "The influence of health-improving fitness exercises on the women’s physical activity." Scientific Journal of National Pedagogical Dragomanov University. Series 15. Scientific and pedagogical problems of physical culture (physical culture and sports), no. 4(134) (April 16, 2021): 106–9. http://dx.doi.org/10.31392/npu-nc.series15.2021.4(134).26.

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The level of person’s physical activity belongs to the main criteria of one’s status. A high work ability level proves one’s strong health status, as well as low level of work ability is believed to be a health risk factor. Health preservation and restoration by means of health-improving fitness exercises becomes one of the most up to date problems. Nowadays, there is no hesitation considering positive influence of physical exercises on one’s physical and psychological health, improvement of one’s cardiovascular, respiratory and hormonal systems, as well as one’s physical qualities development. Health-improving fitness exercises are very popular among women (tae-bo, kibo, pump, terra- aerobics, slide, pilates). Such types of exercises enable to extend the influence of physical activity on one’s organism.
 The purpose of the research is to reveal the influence of different types of health-improving exercises on women’s physical and working ability.
 Methods of the analysis: the analysis of scientific and scientific methodological resources, pedagogical observation, medical-biological methods, methods of mathematical statistics.
 Results of the research have proved that Tabata is the most effective kind of health-improving fitness exercises, which increases working ability for 16 %. Zumba is less efficient – 14%. Body Pump exercises demonstrate the lowest level of productivity – 9%. We assume that such quantitative difference is determined by different health directivity and content of the exercises. High efficiency level of those who practice Tabata and Zumba is inherent in the aerobic nature of the exercises. Body Pump exercises are mainly focused on improving body shape, which makes them less effective.
 In conclusion we may claim that Body Pump, Tabata and Zumba health-improving exercises have a positive influence on women’s physical and working ability.
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Ákos, Gombkötő. "Solutions of the Ortvay Rudolf International Competition in Physics: Exploding Refrigerator (2016/10 Problem)." Physics Educator 03, no. 03 (2021): 2120002. http://dx.doi.org/10.1142/s266133952120002x.

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The Ortvay Rudolf international competition was first organized in 1970. The focus is usually not on routine school-level problems but rather on problem-solving relying on physical reasoning and skills in recognizing the fundamental character and “heart” of the problem. Some problems lead the contestants to so-far unsolved, open questions, while some are accessible to first-year students. However, only for a relatively small number of problems do official solutions exist. The intention of this paper is to be the first in a series of published solutions discussing the competition problems. The problem treated below is a simple exercise about heat transfer in a thermodynamic system, which highlights the limitations and consequences of accepting seemingly intuitive approximations, and gives a didactical example of “explosive” dynamics. The calculation does not use mathematical techniques beyond those commonly expected of high school students.
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Bothun, G. D., S. D. Kevan, S. Micklavzina, and D. Mason. "Networked Physics Curriculum: From Static Web to Dynamic Java." International Journal of Modern Physics C 08, no. 01 (1997): 79–95. http://dx.doi.org/10.1142/s0129183197000084.

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We describe our efforts at the University of Oregon to use Web-based Instructional Technology (IT) supplemented with interactive Java virtual experiments to change the standard pedagogy associated with large, introductory undergraduate classes in physics and astronomy. We begin by examining some of the problems associated with the standard pedagogy in these classes and how these problems motivated our development of networked courseware. Although we identify and describe five empirical positive outcomes associated with IT, we conclude that the use of HTML-based course material and assignments does not substantially alter the standard pedagogy as this medium alone is not conducive to interactive exercises. To build interactivity into our courseware, we have undertaken a vigorous effort of creating Java-based experiments which are grounded in physical reality and duplicate the kinds of experiments that are done in the physical lab. In so doing, we build experimentation into a curriculum for large lecture-based classes in which the standard pedagogy and resource constraints normally preclude lab sections. The main goal is to create a networked environment where the student can easily retrieve the notes and the demonstrations that were done in class as well as to engage in experiments that are designed to illustrate basic principles. In so doing, we hope to move to a more learner-centered environment which is driven by student inquiry. Five specific Java experiments are described here and each is accompanied by a snapshot of the experimental apparatus and controls. An appendix contains the relevant URLs of the experiments, courseware, and animation described herein.
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Korytko, Z. I., S. Y. Kopytko S.Y., and M. Yu Sobolev. "The health status of the visual analyzer in university students and its correction by means of physical rehabilitation." Health, sport, rehabilitation 6, no. 1 (2020): 18. http://dx.doi.org/10.34142/hsr.2020.06.01.02.

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<p><strong>The aim</strong> of the work is to analyze the state of health, in particular the state of problems with the work of the visual analyzer in students; get acquainted with the scientific basis of the method of restoring vision using exercises on Bates theory and conduct its testing with students in a university.</p><p><strong>Material and methods</strong>. Analysis and synthesis of data from literary sources and our own research on the state of the visual analyzer in school children and students of higher educational institutions. Development of questionnaires and a survey of 142 students. Testing the method of restoring vision according to the method of W. Bates in two randomized groups of students (n = 15), which consisted in the daily performance of special exercises for 10–15 minutes for a month. Determination of visual acuity according to the tables of Sivtsev and Golovin and field of view using the Ferster perimeter for white, red, green and blue colors before and after rehabilitation intervention. Methods of mathematical statistics.</p><p><strong>Results</strong>. It was revealed that problems with the visual analyzer of students are ahead of all pathologies combined and make up about 30%. Moreover, only 4% of students with visual pathologies were congenital, and in the remaining 28% of students - acquired recently. The use of exercises according to the method of W. Bates contributed to the improvement of the performance of the visual analyzer (visual acuity for the right and left eye, p <0.05 and field of view for all colors, p <0.05) among students of the study group.</p><p><strong>Conclusions.</strong> The study showed that the implementation of exercises according to the method of W. Bates can be the basis for the development of a program of physical therapy, adapted to the conditions of its use by university students.</p>
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Кравчук, Т. М., and О. С. Курочка. "Use of body-ballet in high school physical education." Teorìâ ta Metodika Fìzičnogo Vihovannâ, no. 4 (December 26, 2013): 40–47. http://dx.doi.org/10.17309/tmfv.2013.4.1035.

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Objective: to develop a method of physical education high school age girls body mass Ballet and verify its effectiveness.Methods. To solve the problems raised in the paper, we used the following methods: study and analysis of educational, scientific and methodological literature; interviews with experts and questionnaires; pedagogical supervision; teacher testing; methods of mathematical statistics. The experiment was conducted at the high school school № 167 m. Kharkiv and lasted from September 2012 to April 2013. As researched by a pupil of high school of 15 people - and 15 control group - experimental group. Investigated the control group attended lessons of physical training conducted by the curriculum of secondary schools. For the studied experimental group were held for three months training with body-ballet.Conclusions. The method of physical education high school age girls body mass ballet synthesizes the elements of classical dance, aerobics health yoga, and Pilates and other than sports and recreation values brings also artistic and aesthetic, which contributes to their dance, musicality, expression and creativity activity of the individual.Organizing and conducting exercises with elements of ballet body in high school and increase the level of flexibility, strength, agility and endurance high school, which was experimentally proven in the course of our study.
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Zhao, Lefeng, and Yaping Zhao. "The Construction of the Fusion and Symbiosis Path of Infant Sports Development Based on Intelligent Environment." Mathematical Problems in Engineering 2021 (September 7, 2021): 1–9. http://dx.doi.org/10.1155/2021/4942560.

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In view of the differences and uniqueness of intelligence between people, the application of new educational thoughts is the need of the time; in the educational atmosphere created by the intelligent environment, it is urgent to seek a path of integration and symbiosis. This article takes the development of children's sports driven by the intelligent education project as the main research object, selects our city's children's football as the representative of sports events to carry out case studies, and uses the spectrum education program to explore the intelligent development of intelligent children with logical and mathematical advantages in the field of sports. This paper designs a data fusion method for homogeneous smart sensors. The correlation degree of the nodes in the continuous sampling period is obtained by defining the spatial correlation coefficient, and the confidence value and coherent degree of integration are obtained by applying the angle of attraction between nodes in the definition of fusion strategy in the evaluation of neighborhood, and lastly, the node coefficient of weight is reallocated to validate the fused expression. The feasibility of the simulation is used to confirm the trustworthiness of the solution. Based on the development status of children’s physical education, this article uses intelligent mobile networks to find out the problems in the physical education classes of kindergarten teachers and the problems that are not compatible with the development of children’s physical education. The kindergarten normal students receive targeted physical education and acquire solid professional skills. The study indicates that the percentage of basic motor and basic motility classes in the city's kindergartens is 100%, suggesting that all preschools in the city operate fundamental motor practice classes for a group of children. They have fully realized that basic movement exercises have an impact on children’s body shape.
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Musiyenko, O. V., R. V. Chopyk, and N. B. Kizlo. "Influence of adaptive physical education on motor possibilities, behavior and quality of life of children with autism." Health, sport, rehabilitation 6, no. 2 (2020): 41. http://dx.doi.org/10.34142/hsr.2020.06.02.04.

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<p><strong>The </strong><strong>aim</strong> of the work is to establish the impact of adaptive physical education classes according to our proposed method on the motor abilities and behavior of children with autism spectrum disorders and on the quality of life of their families.</p><p><strong>Material and methods</strong>. Analysis and generalization of literature data on the peculiarities of psycho-motor development of children with autism, their behavior. Development of methods of adaptive physical education of children with autism, which includes exercises for the development of general and fine motor skills, imitation, coordination of movements and the development of physical qualities such as strength, agility, flexibility. Expert assessment of test exercises. Questionnaire of parents about the psychophysical condition of their children and the quality of life of families raising a child with autism. Methods of mathematical statistics.</p><p><strong>Results</strong>. It has been established that children with autism have significant impairments of motor activity and psychophysical condition, which significantly affects the quality of life of children and their families. There is a very low level of development of motor skills. Parents of children in the experimental group noted that from now on their children began to have fewer problems with movement, their movements became more coordinated and it became easier to move. In terms of self-care and self-care, the difficulties became less significant (average level), the usual daily activities also became easier, the phenomena of discomfort and anxiety decreased.</p><p><strong>Conclusions</strong>. Children with autism have significant deviations in motor development, arbitrariness of movements, understanding of expediency of movements, general motility of the body. Classes in adaptive physical education according to our proposed method allowed children with autism to overcome most motor disorders, which was a prerequisite for improving higher nervous activity and behavior. Significant improvement of psychophysical condition of children as a result of employment, and also growth of quality of life is established.</p>
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Verschaffel, Lieven, Wim Van Dooren, Brian Greer, and Swapna Mukhopadhyay. "Reconceptualising Word Problems as Exercises in Mathematical Modelling." Journal für Mathematik-Didaktik 31, no. 1 (2010): 9–29. http://dx.doi.org/10.1007/s13138-010-0007-x.

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Volodin, V. N., and D. S. Yakovlev. "ADAPTIVITY OF PHYSICALFITNESS NORMS FOR FOREIGN SERVICE PERSON SIN RUSSIAN MILITARY INSTITUTIONS OF HIGHER EDUCATION." Bulletin of Nizhnevartovsk State University, no. 4 (December 15, 2019): 130–36. http://dx.doi.org/10.36906/2311-4444/19-4/19.

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The article addresses the problems of physical fitness assessmentand physical fitnessnormsin respect to foreign servicepersons who study in Russian military educational institutions. The general level of physical fitness inforeign enrollees is rather low, arguably due to the internal policies of other countries regarding physical culture and youth education and the personal attitude of servicepersons. As a result, suchprimary tasks of the educational process as physical training and improvement of moving motor abilities that would be typical for the university level, have to be replaced with general physicaldevelopment and learning of the secondary school level. Consequently, the inability to meetthe physical training standards becomes a challenge for many foreign military studentsduring thefoundation course and the first years of training. It takes more time for them to train themselves to meet the university level requirements to physical fitness and master the discipline of physical training. The relevance of the study roots the contradiction between the need for mastering a large amount of knowledge and skills, the low level of general and special training of foreign enrollees, and the demanding physical fitnessnorms for military personnel. The purpose of the study was to develop reference physical fitnessnorms that could be further readjusted, for foreign military enrollees. The study relied on such scientific and pedagogical methods as theoretical analysis of scientific literary sources, pedagogical observation, control physical fitness tests, mathematical and statistical data processing. The outcome of the study was the proposedreference norms for the exercises included in the control physical fitness battery for foreign enrollees. This approach to setting physical fitness norms can be applied both to one person and to a group of military students who fall behind in physical training, including servicepersons and students of civilian educational institutions. The proposednorms and the method of determining the physical training norms help foreign enrolleesto achieve the required minimum and get a positive grade in the first years of training, and to adapt to the specifics and content of the discipline.
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Valentina, Liashenko, Korzh Eugene, Omelchenko Tetyana, and Petrova Natalia. "COMPARATIVE CHARACTERISTICS OF THE DEVELOPMENT OF COORDINATIVE ABILITIES OF 7-9 YEARS OLD SCHOOLCHILDREN AND THEIR COEVALS, WHO ARE SYSTEMATICALLY ENGAGED IN TAEKWONDO." Sport Science and Human Health 4, no. 2 (2020): 64–73. http://dx.doi.org/10.28925/2664-2069.2020.2.6.

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Introduction. The formation of the health of schoolchildren and the full development of their body is one of the main problems in modern society. Determining effective methods of developing coordination skills in schoolchildren by means of martial arts in extracurricular forms of physical education is very important because there is a need to find and use effective methods aimed at developing physical, psychological and intellectual properties of primary school children. Aim is to determine the differences in the level of development of coordination abilities of students who are systematically engaged in the taekwondo section in comparison with children who are engaged in the standard program. Material and methods: analysis and generalization of data of scientific and methodical literature sources and the Internet, questionnaires, pedagogical observation, pedagogical experiment, pedagogical testing, methods of mathematical statistics. Results. The sensitive period for the development of coordination skills is the age of 5-7 years. Age 7-11 years gives the second strongest effect of the development of these abilities. Thus, the coordination abilities of children of primary school age need purposeful development, and the main means for the education of coordination abilities are physical exercises of increased coordination complexity, which contain certain elements of novelty. Conclusions. It is determined that children who do not go to out-of-school sports facilities experience excessive muscle tension. The results of untrained children and children-athletes showed the lag of the former in terms of the ability to arbitrarily relax muscles (25.98%). According to the results of a comparative analysis of the level of development of abilities to coordinate movements in children of primary school age, the following data were obtained: in children-athletes the average result is 21.92 ± 0.8s, while in children not trained - 30.19 ± 1.83 s, which indicates a low level of development of this coordination quality (p <0,05).
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Мороз, Ю. В. "Peculiarities of Motor Abilities Development in 7th-8th-Graders." Teorìâ ta Metodika Fìzičnogo Vihovannâ, no. 3 (September 30, 2015): 15. http://dx.doi.org/10.17309/tmfv.2015.3.1145.

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The pupose of the research is to define the peculiarities of motor abilities development in children of middle-school age.Research methods: theoretical analysis and collation of scientific and methodological literature; pedagogical testing; methods of mathematical statistics.To determine the effectiveness of realization of the developmental task of the physical education process at the beginning of the school year (in October 2014) and in March 2015, we tested the level of development of physical qualities in the 7th- and 8th-graders, 25 and 25 graders respectively, 13 of which in each class were boys and 12 — girls.Research results. The analysis of the materials shows that during the school year, the boys of the 7th grade showed reliably increased performance in standing long jumps (speed and strength qualities) — 1.97%, raising the body from the lying position (strength) — 26.46%, bent suspension (strength) — 13.45%. The indicators have insignificantly (unreliably) increased in the shuttle run 3×10 m (agility) — 6.09%, and in body bending from the sitting position (flexibility) — 6.25%. The girls showed reliably increased performance in the level of readiness: flexibility — 12%, strength — 12.09%, speed-strength qualities — 5.27%, agility — 7.77%.The analysis of the materials shows that during the school year the 8th-graders (boys) reliably increased their physical readiness in speed-strength qualities — 0.8%, strength — 15.7%. The indicators of agility increased unreliably — 2.7%, as well as those of flexibility — 8%. The 8th‑graders (girls) reliably improved their indicators in standing long jumps — 2.1%, in bent suspension — 18.8%, raising the body from the lying position in 30 seconds — 17.4%, body bending from the sitting position — 12 5%. The indicators agility improved unreliably — 3.4%.Conclusions. The data obtained are important in solving the pedagogical problems of schoolers’ physical education as decisions of the matters of principle in organization and methods used in physical training classes rest on the ideas about the regularities of the age-related development and the effects of physical exercises.
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Ding, Yuting, and Xu Sun. "SCIENTIFIC PHYSICAL EXERCISE IN MAINTAINING HEALTH." Revista Brasileira de Medicina do Esporte 27, no. 3 (2021): 303–6. http://dx.doi.org/10.1590/1517-8692202127032021_0145.

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ABSTRACT Introduction According to the 2015 National Physical Health Monitoring Report, most of the national physical health indicators have begun to rebound, but some people’s physical health is still declining. Object The thesis studies the problems existing in people’s physical exercise and guides the development of these people’s habits. Methods Our mathematical statistics and other research methods investigate the current situation of people’s physical exercise habits, and explore the factors that restrict habits from the factors that affect the formation of sports and fitness concepts. Result The proportion of people developing physical exercise habits is low. People invest less time and energy in physical exercise. Conclusion The less time and energy that people invest in physical exercise is the main reason that affects their belief in exercise and fitness and physical exercise habits. Level of evidence II; Therapeutic studies - investigation of treatment results.
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Rustamov, G. A. "Some Feasibility Problems in the Exact Solution of Сontrol Exercises". Mekhatronika, Avtomatizatsiya, Upravlenie 21, № 10 (2020): 555–65. http://dx.doi.org/10.17587/mau.21.555-565.

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There is studied the mathematical foundations of the synthesis methodology in the engineering interpretation of a number of popular feedback control systems and the reasons for the impracticability of the results due to the appearance in the synthesis equations of pure differentiation operators and sources of various types of roughness violation. The global reason for the increasingly accelerated divergence of control theory from practice is associated with the impact on creative thinking such as mutation, incompatibility, randomness, fuzziness, asymmetry which underlies the evolution of synergetic systems. Both the "methodological crisis" and a number of seemingly insignificant engineering inconsistencies lead to a decrease in the planned efficiency of the developed control systems. There is a tendency to solve this practical problem through its excessive mathematization. As a result, there is nonsense — "the more mathematics, the worse", which leads to a "mathematical labyrinth", to exit from which the mathematical apparatus becomes more and more complicated until the creation of a new theory. It is shown that the use of even "correct" mathematical relations, which are the basis of the synthesis method, often leads to a violation of feasibility and rudeness. It is cited that the neglect of important poorly formalized technical indicators and the conditions of rudeness (robustness) when setting the problem does not allow us to obtain a constructive solution and is one of the main reasons for the discrepancy between theoretical results and practice. A number of popular directions of the classical theory of feedback control are considered: an inverse approach-compensation method, which forms the basis for constructing astatic, invariant, robust and other compensation systems; synthesis methods for systems with a finite settling time; assessment and control methods based on the concept of " inverse dynamics problems"; high gain limit systems. Violation of various types of feasibility and rudeness is demonstrated by specific examples tested on Matlab / Simulink. Computer research has made it possible to draw a number of positive conclusions that have important applied value.
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Davison, Lee. "Continuum Modeling." MRS Bulletin 13, no. 2 (1988): 16–21. http://dx.doi.org/10.1557/s0883769400066318.

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Common experience with the thermomechanical properties and behavior of matter is usually at the continuum level, i.e., observations concern such phenomena as elastic and inelastic deformation of solids, flow of fluids, and conduction of heat. Continuum descriptions of these phenomena are expressed in terms of partial differential equations representing the principles of balance of mass, momentum, and energy. Since the basic principles apply to all materials, it is apparent that they alone will not suffice for solving specific problems. The peculiarities of individual materials are expressed in terms of constitutive equations, of which Hooke's law of elasticity and Newton's law of viscosity are examples. For the most part, “continuum modeling” refers to the process of devising constitutive equations. This work requires exercise of physical insight at both the macroscopic and microscopic levels, consideration of experimental observations, and application of formal mathematical principles.Much of materials science is devoted to development and application of materials that have been selected for, or designed to have, useful properties different from those of existing materials. Many materials are of interest precisely because they have unusual properties. For example, paints and other coatings are often designed to flow easily when spread, but resist running afterward. Much work is devoted to analyzing manufacturing processes, whether they be processing of foodstuffs, forging metals, drawing films and fibers, or curing polymers. Properties and physical states of materials that are important during manufacture are often very different from those desired under service conditions.
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Hakman, Anna, Svitlana Duditska, Andriy Slobozhaninov, and Olha Kovtun. "Health effects of aqua fitness on the body of women of the first mature age." Scientific Journal of National Pedagogical Dragomanov University. Series 15. Scientific and pedagogical problems of physical culture (physical culture and sports), no. 7(127) (November 27, 2020): 33–37. http://dx.doi.org/10.31392/npu-nc.series15.2020.7(127).06.

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Purpose: to identify the health effects of aquafitness on physiological parameters of women of the first mature age. The following research methods were used to solve the tasks set in the work: theoretical analysis and generalization of data of scientific and methodological literature; pedagogical methods; anthropometric research methods; physiological methods (vital index, strength index, Robinson index, Stange test, Genchi test, Kerdo index, Rufier test, index of functional changes (Kettle index); methods of mathematical statistics. We checked the statistical significance of the difference between the indicators before and after the experiment using nonparametric Wilcoxon criteria (p≤0.05), which were used to establish the shifts of the corresponding indicators. The research was conducted on the basis of the fitness club "Sport Live" in Chernivtsi. The transformation experiment involved 24 women aged 21-31 years. Classes were held in accordance with our comprehensive aqua fitness program, which is designed for 6 months. Class duration is 60-80 minutes, three times a week. The program developed by us included exercises from the arsenal of aqua stretching, hydroshaping, aquadance, aquarism, aqua building, aqua taibo. Results. The data obtained on the somatic health of women aged 21-31 years show a significant improvement in the results (p≤0.05) of anthropometry, the functional state of the cardiovascular, respiratory system, autonomic nervous system, physical condition and performance. During the conversion experiment, the following indicators improved: life index from 45.96 ± 4.69 to 48.88 ± 0.68; power index from 35.80 ± 1.07 to 43.26 ± 0.71; Robinson's index from 85.72 ± 12.34 to 89.63 ± 10.11; barbell samples from 30. 28 ± 10.32 to 37.78 ± 12.34; Genchi samples from 16.48 ± 4.24 to 25.19 ± 4.58; Kerdo index from 5.23 ± 10.16 to 0.86 ± 8.34; Rufier's test from 12.21 ± 4.26 to 8.03 ± 2.14. Conclusions. The effectiveness of the aqua fitness program for women of the first adult age is confirmed by the results of positive changes in body weight, improvement of the cardiovascular and respiratory systems of the body. The proposed program of classes provides optimization of the level of physical, functional and mental condition, solving problems of correction and prevention of functional disorders in health and allows to meet the needs for leisure, recreation and self- improvement of women of the first mature age.
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Vinograd, D. V., and A. V. Zykov. "Military-Applied Means of Physical Education in Pre-University Educational Institutions of the Russian Ministry of Defence." Education and science journal 21, no. 6 (2019): 171–90. http://dx.doi.org/10.17853/1994-5639-2019-6-171-190.

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Introduction.. The main purpose of pre-university educational institutions of the Ministry of Defence ofRussia, e.g. Suvorov Military Schools, Nakhimov Naval Schools, presidential schools and cadet corps, is to educate graduates, who are highly motivated and sufficiently prepared for military vocational activities, including graduates’ general physical fitness. Successful performance of the task is complicated by the fact that educational process in such organisations has a general educational orientation, which is common for the entire system of school education. However, it is obvious that the specifics of the mission of preuniversity educational institutions of the Ministry of Defence of the Russian Federation requires more intensive physical activities, which improve health and increase physical endurance of students, taking into account their age-specific physiological characteristics. In this regard, it is necessary to develop a variable methodological block as a supplement to an invariant part of the main programme of physical culture, which will be aimed at stimulating the development of motor and power capabilities, skills and professionally significant qualities of future military personnel.The aim of the research was to select and scientifically justify the introduction of appropriate and effective means for high-school students’ physical education in pre-university educational institutions of the Ministry of Defence ofRussia.Methodology and research methods. To identify the appropriate ways of solution of the problems of profile physical education of potential officers at the stage pre-professional development, the methodological framework was based on the theory of physical culture and sport, individually-modular approach to the development of the system of professional and applied physical training, its principles and regularities, conceptual provisions of health preservation in adolescence and youth. In the course of the research, the authors thoroughly studied the scientific and methodological sources, regulatory and legal base of the organisation of educational process, questions of its planning and control of all forms and activities of students’ physical training in military schools. The following methods were applied: interview, pedagogical observation, questionnaire survey, technique of entrance and final testing of selection of the research participants, formative experi ment, monitoring, comparative analysis and systematisation of indicators (resultant scores) of sports achievements of examinees. Experimental data were processed by the methods of mathematical statistics.Results and scientific novelty. The selection of means of physical training in pre-university all-service military and naval educational institutions was made on the basis of theoretical and statistical material of analytical review and collected empirical data and pedagogical experience in 17 pre-university educational institutions of the Ministry of Defence of Russia (n = 607). The list of the most productive means is made. The quantitative ratio of military-applied methods, which positively influence the system of physical training in the 10th-11th grades, is established. The pilot testing showed that systematic use of special training exercises of military-applied orientation significantly improves the indicators of physical training of students. The analysis of students’ questionnaires before and after the experiment revealed strengthening of students’ moral stability, growing interest in military science and motivation to studying of an applied training material, as well as significant increase in the number of applicants seeking to continue their training in higher educational institutions of the Ministry of Defence of the Russian Federation and to dedicate their lives to military service. The proposals and practical recommendations on purposeful introduction of complexes of specialised physical exercises and elements of disciplines of military-applied sports to educational process are formulated.Practical significance. The results of the research can be employed to plan and organise physical training of high-school students of pre-university educational institutions of the Ministry of Defence ofRussia as additional programme and methodological support at the initial stage of military-applied physical training of future military specialists.
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Johsua, Samuel, and Jean‐Jacques Dupin. "In physics class, exercises can also cause problems . . ." International Journal of Science Education 13, no. 3 (1991): 291–301. http://dx.doi.org/10.1080/0950069910130307.

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Coley, Alan A. "Open problems in mathematical physics." Physica Scripta 92, no. 9 (2017): 093003. http://dx.doi.org/10.1088/1402-4896/aa83c1.

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20

Okino, Takahisa. "Mathematical Physics in Diffusion Problems." Journal of Modern Physics 06, no. 14 (2015): 2109–44. http://dx.doi.org/10.4236/jmp.2015.614217.

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21

Golubeva, V. A. "Inverse monodromy problems in mathematical physics." Journal of Mathematical Sciences 144, no. 1 (2007): 3775–81. http://dx.doi.org/10.1007/s10958-007-0230-2.

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22

Hristova, Gergana. "VARIOUS PROBLEMS FOR TEACHING GEOMETRY TO THIRD GRADE STUDENTS." Knowledge International Journal 28, no. 3 (2018): 997–1003. http://dx.doi.org/10.35120/kij2803997g.

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The knowledge on geometry are of great importance for the understanding of reality. Spatial notion and geometrical concepts, graphical skills and habits are an important part of the study of geometrical knowledge in elementary school as propedeutics of the system course on geometry in the next school levels. In the recent years, education in Bulgaria follows the trends imposed by the European Union related to the acquiring of some basic key competencies. They promote to the improvement of knowledge, skills, abilities and attitudes of students and their more successful social development. From the school year 2016/2017, the education in the Bulgarian schools is in accordance with the new Law on pre-school and school education. Under this law, students are teached under new curriculum and teaching kits for the corresponding class. According to the new curriculum, the general education of the students of I-IV grade, covers basic groups of key competencies. Here, much more attention is paid also to the results of international researches on the students’ performance in mathematics. Primary school students participate in international competitions and Olympiads, which lead to the need of working on more mathematical problems with geometric content of the relevant specific types. This allows to study and use author’s various mathematical problems for teaching geometry. Their purpose is to contribute to the expansion of space notions of the students, to develop their thinking and imagination. This article is dedicated to the application of author’s various mathematical problems and exercises for teaching students from the third grade through which the geometrical knowledge and skills of the students develop and build. The solving of the mathematical problems is realized on a rich visual-practical basis, providing conditions for inclusion of the students in various activities. The proposed various mathematical problems are developed by themes including fully geometric problems and exercises for teaching mathematics to third grade students. Teaching by using the various mathematical problems was held with 149 students from third grade, from five schools - three in Sofia and two in smaller towns, in the school year 2016/2017.
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Ma, Zhonglin, Changcheng Xin, and Huifang Zheng. "Construction of a Teaching System Based on Big Data and Artificial Intelligence to Promote the Physical Health of Primary School Students." Mathematical Problems in Engineering 2021 (June 7, 2021): 1–10. http://dx.doi.org/10.1155/2021/9777862.

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In recent years, although the overall physical health of Chinese students has shown an upward trend, the substantial decline in student physical fitness has been basically curbed. Most of the physical health indicators of students are steadily improving, but there are still many problems that need to be vigilant. In order to solve the problem of the decline of the physical health of primary school students, it is very important to construct a teaching system based on big data and artificial intelligence to promote the physical health of primary school students. This article aims to study from the actual situation and find scientific and reasonable methods to improve the physical health of primary school students. This article uses the literature method, questionnaire survey method, mathematical statistics method, and other research methods to analyze and study the current physical condition of the interviewed students and the actual influencing factors by taking students from 5 domestic primary schools as the research object. It is concluded that more than 90% of primary school students in Haidian District, Beijing, have good physique and physical development. The development level of strength and flexibility is gradually improved, but the speed and endurance quality are on the decline, especially the endurance quality of primary school boys has declined the most. Lack of good exercise habits, insufficient exercise time and exercise efficiency, and lack of appropriate exercise volume and necessary exercise intensity are currently the most important factors affecting the physical health of primary school students. The physical problems of primary school students are not caused by a single factor, but the result of multiple factors. This article puts forward a number of suggestions for the above situation and problems to be solved urgently.
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Arrahim, Arrahim, and Rika Sabrina. "Upaya Meningkatkan Kemampuan Pemecahan Masalah Matematika dengan Menggunakan Model Problem Solving di Sekolah Dasar." DIDAKTIKA: Jurnal Pendidikan Sekolah Dasar 2, no. 1 (2019): 9–14. http://dx.doi.org/10.21831/didaktika.v2i1.28092.

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This research is motivated by the low ability to solve mathematical problems in fifth grade students of SDN Kaliabang Tengah 1 Bekasi Utara. Seen when researchers provide exercises in the description of mathematical problems in the form of stories on fraction material. There is still a lack of student knowledge regarding fractional material. When working on the story problem students simply add up or subtract the denominator by the denominator and the numerator by the numerator, without first equating the denominator. Students have not been able to solve problems correctly and many are still wrong. The lack of students' ability to infer results obtained from mathematical story problems. Enthusiastic students are lacking in solving mathematical story problems that are considered difficult. This study aims to improve the ability to solve mathematical problems using problem solving models in fifth grade students at SDN Kaliabang Tengah 1, North Bekasi. The research method uses Classroom Action Research (CAR) which consists of 3 cycles.. The conclusion of this study is the problem solving model can improve the ability to solve mathematical problems in fifth grade students at SDN Kaliabang Tengah 1 Bekasi Utara.
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Lobanova, N. I., and N. P. Puchkov. "Digitalization of Mathematical Education: Teaching the Course “Differential Equations”." Voprosy sovremennoj nauki i praktiki. Universitet imeni V.I. Vernadskogo, no. 2(80) (2021): 138–58. http://dx.doi.org/10.17277/voprosy.2021.02.pp.138-158.

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The article analyzes some of the problems generated by the technology of digitalization of mathematical education in educational institutions. The issues of rational use of digitalization means when studying the course “Differential Equations” are considered, as well as the technology of developing complex practical tasks containing elements of both traditional analytical research and means of computer mathematics. The role of computer mathematics systems in practical exercises on differential equations is shown. It is substantiated that the integration of competencies is an effective means of resolving the identified problems of the process of digitalization of education. A specific example of organizing a practical lesson on differential equations is presented, containing an illustration of the methodological tasks of a rational combination of analytical research and digital technologies.
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Ribeiro de Oliveira, Terezinha Marisa, and Carmem Lúcia Costa Amaral. "Using video footage to analyze students' arguments in solving exercises:." Revista de Estudos e Pesquisas sobre Ensino Tecnológico (EDUCITEC) 7 (April 13, 2021): e133621. http://dx.doi.org/10.31417/https://doi.org/10.31417/educitec.v7.1336eng.

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The aim of this paper is to describe the qualitative research in which we used video footage as a didactic resource to understand students' arguments and justifications in solving mathematical problems. Participated in this study 28 students from the 9th grade of the school within in São Paulo (Brazil). For the analysis of the students’ arguments, we used as reference the authors D’Ambrósio (2001), Orlandi (2009) and Sadovsky (2010). The results showed that video footage can be a resource to be explored by teachers to analyze not only their students' arguments and justifications in solving problems, but also to aid the teachers to self-assessment of your teaching practices.Keywords: Learning. Basic education. Video recording.
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Feng, Zhi. "RESEARCH ON THE SYSTEMATIZATION OF SPORTS STUDENTS IN SCIENTIFIC EXERCISE TRAINING." Revista Brasileira de Medicina do Esporte 27, no. 5 (2021): 494–97. http://dx.doi.org/10.1590/1517-8692202127042021_0093.

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ABSTRACT Introduction: It is not unusual that students do not like physical education. It has become a common educational phenomenon in current school physical education. Students have become less participative in physical education, serious and cold, less enjoyable, and stressed. The emergence of this series of changes is not entirely a matter of student attitudes. Objective: Aiming at school students who like sports but do not fall in love with physical education, participation quality continues to decline, students do not exercise themselves, and have no concept of exercise load. This research aims to learn and master the knowledge and skills of physical exercise through a digital fitness teaching system, effectively improve students’ scientific exercise ability, mobilize students’ hobbies to actively participate in physical exercise, improve the unscientific physical exercise habits of students in the past, promote students’ physical and mental health, and lay the foundation for lifelong physical education. Methods: The methods studied in this article mainly include an experimental method, document method, expert interview method, questionnaire survey method, mathematical analysis method and other methods. Results: After two weeks of experimental preparation and ten weeks of teaching experiments to develop students’ physical exercise ability, the students’ aerobic exercise ability has been steadily improved. Through the digital fitness teaching system, students’ interest in participating in physical exercise is strengthened and the cultivation of sports emotions and physical habits, improving the school's physical exercise environment and meeting students’ physical exercise needs. Conclusions: The digital fitness teaching system is in the development and test stage. The first generation of digital fitness bikes has many problems with hardware and software. As an important supplementary form of school physical education under the new situation, this system greatly promotes students’ lifelong physical education and learning scientific physical exercise. Level of evidence II; Therapeutic studies - investigation of treatment results.
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28

Voros, André. "Exercises in exact quantization." Journal of Physics A: Mathematical and General 33, no. 41 (2000): 7423–50. http://dx.doi.org/10.1088/0305-4470/33/41/311.

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29

Friedlander, F. G. "INITIAL BOUNDARY VALUE PROBLEMS IN MATHEMATICAL PHYSICS." Bulletin of the London Mathematical Society 19, no. 2 (1987): 205. http://dx.doi.org/10.1112/blms/19.2.205.

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30

Lieberman, Gary M. "Book Review: Obstacle problems in mathematical physics." Bulletin of the American Mathematical Society 21, no. 2 (1989): 319–23. http://dx.doi.org/10.1090/s0273-0979-1989-15845-x.

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31

Lomov, I. S. "Nonsmooth eigenfunctions in problems of mathematical physics." Differential Equations 47, no. 3 (2011): 355–62. http://dx.doi.org/10.1134/s0012266111030062.

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32

Moya-Cessa, Héctor Manuel. "Theoretical and mathematical physics: problems and solutions." Contemporary Physics 60, no. 1 (2019): 102. http://dx.doi.org/10.1080/00107514.2019.1608312.

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33

Griffel, D. H. "Initial Boundary Value Problems in Mathematical Physics." Physics Bulletin 37, no. 10 (1986): 427. http://dx.doi.org/10.1088/0031-9112/37/10/027.

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34

Al-Khatib, M. J., and R. Leśniewska. "Solving functions in the mathematical physics problems." PAMM 2, no. 1 (2003): 356–57. http://dx.doi.org/10.1002/pamm.200310162.

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35

Al Khatib, M. J., and K. Grysa. "Solving functions in problems of mathematical physics." PAMM 3, no. 1 (2003): 374–75. http://dx.doi.org/10.1002/pamm.200310459.

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36

Sanwidi, Ardhi. "STUDENTS' REPRESENTATION IN SOLVING WORD PROBLEM." Infinity Journal 7, no. 2 (2018): 147. http://dx.doi.org/10.22460/infinity.v7i2.p147-154.

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The purpose of this research is to describe the representation of sixth grade students in solving mathematics word problems. The focus of the representation of this research is an external representation which is viewed from students with high mathematical abilities. The method used in this research is task-based interview, by giving a problem test of word problems. Students who have a high level of abilities, he makes pictures of all problems and successfully solve the problems. Students whose level of abilities is lacking, he only makes incomplete symbol / verbal representations, he has wrong when solving the problems. Various kinds of representations and increasing abilities in many problems such as multiplying exercises and solve the word pronlem. Applying various representations to students are very important to be improved by students in order to succeed in solving various mathematical word problems.
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37

Belousov, P. A., and R. S. Ismagilov. "Pauli problem and related mathematical problems." Theoretical and Mathematical Physics 157, no. 1 (2008): 1365–69. http://dx.doi.org/10.1007/s11232-008-0113-9.

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38

Sekovanov, Valeriy S., Vladimir A. Ivkov, Larisa B. Rybina, and Yuliya A. Sobashko. "Performing a mathematical and informational task “Research of the dynamics of rational functions of a complex variable as a means of developing students' creativity”." Vestnik of Kostroma State University. Series: Pedagogy. Psychology. Sociokinetics 26, no. 4 (2021): 187–95. http://dx.doi.org/10.34216/2073-1426-2020-26-4-187-195.

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Multi-stage math and information tasks for students are a kind of creative laboratory in which they show their abilities not only as mathematicians, but also as programmers and artists. Stepwise research on the dynamics of functions of complex variables and their visualisation contribute to the development of students' creativity and the formation of skills in the field of mathematical analysis and programming. This article deals with a multi-stage mathematical and informational task, which is a specially composed sequence of tasks, exercises, problems and didactic situations.
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39

Verschaffel, Lieven, and Erik De Corte. "Teaching Realistic Mathematical Modeling in the Elementary School: A Teaching Experiment With Fifth Graders." Journal for Research in Mathematics Education 28, no. 5 (1997): 577–601. http://dx.doi.org/10.5951/jresematheduc.28.5.0577.

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Recent research has convincingly documented elementary school children's tendency to neglect real-world knowledge and realistic considerations during mathematical modeling of word problems in school arithmetic. The present article describes the design and the results of an exploratory teaching experiment carried out to test the hypothesis that it is feasible to develop in pupils a disposition toward (more) realistic mathematical modeling. This goal is achieved by immersing them in a classroom culture in which word problems are conceived as exercises in mathematical modeling, with a focus on the assumptions and the appropriateness of the model underlying any proposed solution. The learning and transfer effects of an experimental class of 10-and 11-year-old pupils—compared to the results in two control classes—provide support for the hypothesis that it is possible to develop in elementary school pupils a disposition toward (more) realistic mathematical modeling.
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40

Kaczkowski, Stephen. "Solving multivariate optimisation problems using inequalities." Mathematical Gazette 101, no. 552 (2017): 412–23. http://dx.doi.org/10.1017/mag.2017.123.

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Optimisation problems are among the most practical applications of calculus to everyday life, and a survey of exercises in various calculus textbooks will provide a teacher with many interesting scenarios for framing intriguing questions on this topic. Whether it is finding a container's dimensions that yield the least surface area for a given volume, or finding that ideal movie ticket price which will maximise a theatre's revenue, students can usually relate to these problems. Pólya in his bookPlausible reasoningmakes the following remarks about the attraction of extrema problems:Problems concerned with greatest and least values, or maximum and minimum problems, are more attractive, perhaps, than other mathematical problems of comparable difficulty, and this may be due to a quite primitive reason. Every one of us has his personal problems. We may observe that these problems are very often maximum or minimum problems of a sort. We wish to obtain a certain object at the lowest possible price, or the greatest possible effect with a certain effort, or the maximum work done within a given time and, of course, we wish to run the minimum risk. Mathematical problems on maxima and minima appeal to us, I think, because they idealize our everyday problems. We are even inclined to imagine that Nature acts as we would like to act, obtaining the greatest effect with the least effort [1, p. 121].
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41

Kalantarov, V. K. "Attractors for certain nonlinear problems of mathematical physics." Journal of Soviet Mathematics 40, no. 5 (1988): 619–22. http://dx.doi.org/10.1007/bf01094186.

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42

Popov, A. G. "Pseudospherical surfaces and some problems of mathematical physics." Journal of Mathematical Sciences 141, no. 1 (2007): 1062–70. http://dx.doi.org/10.1007/s10958-007-0033-5.

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43

Cerny, V. "Methods of statistical physics and complex mathematical problems." European Journal of Physics 9, no. 2 (1988): 94–100. http://dx.doi.org/10.1088/0143-0807/9/2/003.

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44

Makai, M., and Y. Orechwa. "Symmetries of boundary value problems in mathematical physics." Journal of Mathematical Physics 40, no. 10 (1999): 5247–63. http://dx.doi.org/10.1063/1.533028.

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45

Babishchevich, P. N. "Composite adaptive meshes in problems of mathematical physics." USSR Computational Mathematics and Mathematical Physics 29, no. 3 (1989): 180–87. http://dx.doi.org/10.1016/0041-5553(89)90165-1.

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46

Sergeev, A. "On Two Geometric Problems Arising in Mathematical Physics." Journal of Mathematical Sciences 223, no. 6 (2017): 756–62. http://dx.doi.org/10.1007/s10958-017-3385-5.

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47

Anikonov, Yu E. "On Problems in Mathematical Physics with Variable Parameter." Journal of Mathematical Sciences 228, no. 4 (2017): 335–46. http://dx.doi.org/10.1007/s10958-017-3625-8.

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48

Pala, R. H., T. Herman, and S. Prabawanto. "Students’ error on mathematical literacy problems." Journal of Physics: Conference Series 1157 (February 2019): 022125. http://dx.doi.org/10.1088/1742-6596/1157/2/022125.

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49

Prenger, Joanneke. "Vocabulaire Hindernissen bij Wiskunde." Toegepaste Taalwetenschap in Artikelen 66 (January 1, 2001): 53–67. http://dx.doi.org/10.1075/ttwia.66.05pre.

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This study is part of a research project that investigates what problems pupils may have with language used in mathematical textbooks. Based on earlier research, the expectation is that minority pupils will have problems on micro and mesolevels of texts. The focus of this article is on the microlevel of texts. The mathematical textbook that is used for analysis is based on the ideas of Realistic Mathematics Education. In this view of education, mathematics must be connected to reality, so mathematical problems are presented in a practical context. First, the mathematical textbook was analysed on vocabulary. On the basis of this analysis of the textbook, it can be safely concluded that Realistic Mathematics Education makes strong demands on the vocabulary abilities of pupils. Mathematical texts feature many words that are not in the list of most elementary Dutch words and many of these words are difficult and have a low frequency. Second, the vocabulary of the textbook was compared to the vocabulary employed by the teacher during classroom discussions. From these analyses the conclusion may be drawn that every day words from the mathematical textbook that were used to describe the contexts were hardly used by the teacher in classroom interaction. However, the teacher did use many words from the category of mathematical words. This means that, while infrequent every day words used to describe the contexts may cause problems for pupils, the verbally presented realistic contexts are hardly discussed in class. Overall, this micro analysis reveals that the words used in mathematical texts may well pose problems for pupils, especially the infrequent every day words used to describe the realistic contexts, Further research will focus on whether minority pupils have problems with the way mathematical exercises are presented and, if so, what these problems are.
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Kirillov, A. I. "Two mathematical problems of canonical quantization. II." Theoretical and Mathematical Physics 87, no. 2 (1991): 447–54. http://dx.doi.org/10.1007/bf01016117.

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