scholarly journals Formalization of tasks generation for complex of interactive web-tests on math

2021 ◽  
pp. 140-148
Author(s):  
Andrey Chukhray ◽  
Elena Yashina ◽  
Oleksandr Leshchenko
Keyword(s):  
Graphical Representation ◽  
Complex Structure ◽  
Computer Training ◽  
Program Complex ◽  
Parametric Generation ◽  
Automated Generation ◽  
Problem Situations ◽  
Software Product ◽  
Mathematical Problems ◽  
Unique Parameter

The approach to the formalization of the generation of problem situations applicable to the development of tutoring programs consisting of many tasks is considered. The main errors arising during the software-based generation of parameters are specified. Mathematical modeling of parametrical generation algorithms examined by examples of tasks that make up complex tests on mathematics for secondary schools. The parametric generation method proposed in the article allows getting the large quantitative variations in task problem situations. Thereby, every learner will get a personal unique set of tasks. The structure and functionality of web-tests complex consisting of tasks generated via the proposed method are described. The subject of research in the article is the process of computer training in mathematics. The goal is to develop a method for task generation for mathematical disciplines. Tasks. Research and analysis of the set of mathematical problems. Parameterization of each task and development method and algorithms for automated generation parameters with the determination of incorrect combinations of parameters or problem situations that have no solution. Estimation of borders of admissible for approximate answers. Evaluation of the user solution of a single task and a sequence of tasks. The general objective of the work is to make the software product consisting of a sequence of mathematics tasks. The software should have an extended user interface for the graphical presentation of various problem situations in various mathematical topics. The program must be accessible via the Internet. The following results were obtained: developed methods and algorithms of task generation, which provide correct problem situations and unique parameter sets for each user; described the program complex structure and developed the software system of mathematical web-tests provides two levels of difficulty. Conclusion. The scientific novelty lies in the development of the method of task generation for interactive web tests on the mathematics and its computer implementation with the possibility of graphical representation of tasks and checking of tasks correctness.

scholarly journals NECESSITY OF A SOFTWARE PRODUCT DEVELOPMENT FOR PREPARATION OF PROJECTS FOR FOREST ROAD CONSTRUCTION ORGANIZATION IN THE CONTEXT OF BIM-TECHNOLOGIES

2021 ◽  
Author(s):  
Andrey Manukovskiy ◽  
I. Efremov
Keyword(s):  
Road Construction ◽  
General Purpose ◽  
Structural Elements ◽  
Forest Road ◽  
Automated Generation ◽  
Software Products ◽  
Functional Capabilities ◽  
Software Product ◽  
The Russian Federation ◽  
Construction Organization

This article discusses the features of the development and applicationBIM technologies in the preparation of BIM projects for timber roads in the Russian Federation. The main types of software products used in the preparation of BIM-projects of forest roads have been established. The procedure for using software products is given, their main types are established and functional capabilities are analyzed. The drawbacks and limitations of software products for general-purpose project management in the context of the use of BIM technologies are identified. The necessity of developing a specialized software product for the preparation of elements of projects for the organization of construction «Planworks», in order to increase the efficiency of the use of BIM-technologies in the preparation of projects of timber haul roads. The article describes the proposed procedure for using the developed software product, and also formulates the main stages of developing a project for organizing construction in it. The main list of the initial data required for the preparation of the organization’s project in the developed software product is disclosed. The features of the automated generation of a network model of tasks for the construction of structural elements of a timber road are described, the main types of generated tasks, as well as the features of automated task linking, are given. The advantages of using the developed software product at the stages of development of a technical design and construction of a timber road have been determined.

Links to Literature: Using Representations to Explore Perimeter and Area

2001 ◽  
Vol 8 (1) ◽  
pp. 52-59
Author(s):  
Patricia S. Moyer
Keyword(s):  
Problem Solving ◽  
Word Problems ◽  
Mathematical Problem ◽  
Real Life ◽  
Problem Situation ◽  
Correct Operation ◽  
Problem Situations ◽  
Mathematical Problems ◽  
Mathematical Word Problems ◽  
Computational Processes

In an elementary school classroom, as in real life, the lines between the content areas should be blurred, particularly between mathematical problem solving and mathematical situations contextualized in good literature. For that reason, I always look for interesting books about mathematical situations. Why use children's literature to teach mathematics? A good story often places mathematical problems in the context of familiar situations and is similar to, yet a much more elaborate version of, mathematical word problems. Assertions that children's inability to solve word problems results from their inability to read or to compute effectively simply are not true. The problem is that children do not know how to choose the correct operation or sequence of operations to solve the problem. To solve a problem situation presented in words, children need to be able to connect computational processes with appropriate calculations. Their difficulties lie in the fact that children simply do not understand the mathematics well enough conceptually to make the connection with the problem- solving situation. Using books with authentic problem situations may help children see that learning computation serves a real-life purpose.

scholarly journals INFORMATION TECHNOLOGY OF SOFTWARE ARCHITECTURE STRUCTURAL SYNTHESIS OF INFORMATION SYSTEM

2016 ◽  
Vol 4 ◽  
pp. 25-32 ◽  
Author(s):  
Sergey Chainikov ◽  
Andrey Solodovnikov
Keyword(s):  
Information Technology ◽  
Information System ◽  
Software Architecture ◽  
Software Verification ◽  
Complex Structure ◽  
Graph Model ◽  
Functional Requirements ◽  
Structural Synthesis ◽  
Software Module ◽  
Program Complex

Information technology of information system software architecture structural synthesis is proposed. It is used for evolutionary models of the software lifecycle, which provides configuration and formation of software to control the realization and recovery of computing processes in parallel and distributed computing resources structures. The technology is applied in the framework of the software requirements analysis, design of architecture, design and integration of software. Method of combining vertices for multilevel graph model of software architecture and automata-based method of checking performance limitations to software are based on the advanced graph model of software architecture. These methods are proposed in the framework of information technology and allow forming a rational structure of the program, as well as checking for compliance with the functional and non-functional requirements of the end user. The essence of proposed information technology is in displaying of the customer's requirements in the current version of the graph model of program complex structure and providing a reconfiguration of the system modules. This process is based on the analysis and processing of the graph model, software module specifications, formation of software structure in accordance with the graph model, software verification and its compilation.

scholarly journals INTRODUCTION OF ELEMENTS FROM PROBABILITY THEORY IN THE EDUCATION IN MATHEMATICS FOR PRIMARY SCHOOL

2021 ◽  
Vol 2 ◽  
pp. 325-330
Author(s):  
Maria Temnikova
Keyword(s):  
Probability Theory ◽  
Primary School ◽  
School Teacher ◽  
Fourth Graders ◽  
Primary School Teacher ◽  
Developmental Learning ◽  
Problem Situations ◽  
Initial Stage ◽  
Mathematical Problems ◽  
Educational Degree

The article considers the prerequisites for the inclusion of problems with elements of probability theory in mathematics education in grades 1-4. This type of task is generally not present in the compulsory curriculum in mathematics in primary school, but they could be used in classes for compulsory, extended, and additional training, thus creating conditions for implementing developmental learning. Some theoretical statements about the theory of probabilities are systematized, related to the tasks included in the constructed and approbated methodological system of work. Some of its characteristics are presented. This article offers some of the tasks for grades 1-4. A longitudinal empirical study was conducted with students of the 1-4th grade in the period 2015 to 2020. The results of the outgoing diagnostics in 4th grade are processed by mathematical and statistical methods and are presented graphically. They show that fourth-graders successfully solve problems with elements of probability theory, and a primary school teacher could use them in the systematic work in mathematics at the initial stage of the basic educational degree. Solving non-standard mathematical problems is an element of probability theory that helps arouse interest, motivate students, and place them in an active cognitive position by solving problem situations in the pedagogical interaction in mathematics in primary school.

Mathematical problems of decision-making in organizational systems

2019 ◽  
Author(s):  
Андрей Тараканов ◽  
Andrei Tarakanov
Keyword(s):  
Decision Making ◽  
Complex Structure ◽  
Sufficient Conditions ◽  
Point Of View ◽  
Decision Makers ◽  
Organizational Systems ◽  
Current State ◽  
Information Interaction ◽  
Mathematical Problems ◽  
Theoretical Results

The theory of decision-making in organizational systems with complex structure in the conditions of conflict and uncertainty is stated. A review of the current state of the theory is given. Systems are studied: hierarchical, coalition and coalition-hierarchical (hybrid). The main attention in the process of designing mathematical models of systems is paid to the description of ways of information interaction of decision makers. This takes into account the options of their unfavorable (conflict) and benevolent “attitude” to each other. Two approaches to decision-making are proposed: 1) decision-making from the point of view of the selected participant of the system based on the method of penalty functions and obtaining the necessary conditions of optimality; 2) decision-making in the form of equilibria based on special principles of optimality, constructed using the principles of Nash, Pareto, Geoffrion, Stackelberg, Slater, threats-counter-threats, absolute active equilibrium and obtaining sufficient conditions of optimality. Theoretical results are illustrated by model examples. For researchers, graduate students and students involved in theoretical and practical issues of decision-making in complex systems.

The Evolution of the Cartesian Connection

2008 ◽  
Vol 102 (2) ◽  
pp. 107-111
Author(s):  
Gail M. Anderson
Keyword(s):  
Coordinate System ◽  
Graphical Representation ◽  
Essential Elements ◽  
Cartesian Coordinate System ◽  
Mathematical Concepts ◽  
Problem Situations ◽  
Interesting Study ◽  
History Of ◽  
Realistic Problem ◽  
Cartesian Coordinate

One of NCTM's ten standards for school mathematics is Representation: “Representations [such as diagrams, graphs, and symbols] should be treated as essential elements in supporting students' understanding of mathematical concepts and relationships; in communicating mathematical approaches, arguments, and understandings to one's self and to others; in recognizing connections among related mathematical concepts; and in applying mathematics to realistic problem situations through modeling” (NCTM 2000, p. 67). In my experience, one of the biggest issues students struggle with is the connection between equations and their graphs (referred to as the “Cartesian connection” in an interesting study by Knuth [2000]). Unfortunately, although students are becoming proficient in using algebraic and graphical representations independently, they often do not make the connection between the two representational formats (Knuth 2000; NCTM 2000; Van Dyke and White 2004). In this article, I will explore the history of the graphical representation of functions and curves, specifically, the development of the Cartesian coordinate system as the most common frame for this graphical representation.

scholarly journals Control and Diagnostics System Generator for Complex FPGA-Based Measurement Systems

Sensors ◽  
2021 ◽  
Vol 21 (21) ◽  
pp. 7378
Author(s):  
Wojciech M. Zabołotny ◽  
Marek Gumiński ◽  
Michał Kruszewski ◽  
Walter F.J. Müller
Keyword(s):  
Data Acquisition ◽  
High Speed ◽  
High Energy Physics ◽  
Complex Structure ◽  
High Energy ◽  
Tight Coupling ◽  
Multichannel Measurement ◽  
Automated Generation ◽  
Measurement Systems ◽  
Diagnostics System

FPGA-based data acquisition and processing systems play an important role in modern high-speed, multichannel measurement systems, especially in High-Energy and Plasma Physics. Such FPGA-based systems require an extended control and diagnostics part corresponding to the complexity of the controlled system. Managing the complex structure of registers while keeping the tight coupling between hardware and software is a tedious and potentially error-prone process. Various existing solutions aimed at helping that task do not perfectly match all specific requirements of that application area. The paper presents a new solution based on the XML system description, facilitating the automated generation of the control system’s HDL code and software components and enabling easy integration with the control software. The emphasis is put on reusability, ease of maintenance in the case of system modification, easy detection of mistakes, and the possibility of use in modern FPGAs. The presented system has been successfully used in data acquisition and preprocessing projects in high-energy physics experiments. It enables easy creation and modification of the control system definition and convenient access to the control and diagnostic blocks. The presented system is an open-source solution and may be adopted by the user for particular needs.

scholarly journals Fortalecimiento de las competencias matemáticas a partir de la resolución de problemas en operaciones básicas de números naturales, para estudiantes del grado sexto en Colombia

2017 ◽  
Vol 8 (1) ◽  
pp. 62-70
Author(s):  
María Alejandra Sánchez Díaza
Keyword(s):  
Educational Institution ◽  
Sixth Grade ◽  
The Other ◽  
San Jose ◽  
Problem Statement ◽  
Construction Of Knowledge ◽  
Problem Situations ◽  
Sixth Grade Students ◽  
Mathematical Problems ◽  
Problematic Situations

Resumen: A continuación, se describe en el siguiente artículo, referente a una investigación realizada cuyo objetivo es implementar talleres guías para el fortalecimiento de la competencia matemática de resolución en los sistemas numéricos a través del Método Polya, para los estudiantes de sexto grado de la Institución Educativa Colegio San José “El Trigal” de Cúcuta. La metodología empleada fue de investigación acción, donde se utilizaron como instrumentos para recabar la información: la observación directa, diarios de campo, prueba diagnóstica y talleres guía. Con respecto a la propuesta, su autora presenta diversas estrategias de aplicación de talleres guía, con el fin de atender la dificultad que tienen los estudiantes del grado sexto para la resolución de problemas: que consiste en leer, analizar y solucionar situaciones problemáticas en los distintos conjuntos de numeración, reflejadas en los hallazgos obtenidos en las pruebas institucionales y en las llamadas “PRUEBAS SABER”. Los resultados de la investigación determinaron que los participantes logran solucionar situaciones problemas, desde la Comprensión del enunciado del problema, Aclaración de dudas, Identificación de todos los datos y de lo que quería encontrar, Formulación de un plan para encontrar una solución, Realización de las operaciones correctamente y Verificación del resultado. Finalmente se propone a la Institución asignar una hora de Formulación y Solución de Problemas matemáticos, además la planeación de clases a partir de Talleres Guías, ya que facilitan la construcción de conocimientos a partir de aprendizajes significativos y la interacción con el otroPalabras clave Competencias matemáticas, Resolución de problemas, Operaciones básicas de Números NaturalesAbstract: Next, it is described in the following article, referring to a research carried out whose objective is to implement guides workshops for the strengthening of the mathematical competence of resolution in the numerical systems through the Polya Method, for the sixth grade students of the Educational Institution Colegio San José “El Trigal” of Cúcuta. The methodology used was action research, where they were used as instruments to collect the information: direct observation, field diaries, diagnostic test and guide workshops. With respect to the proposal, the author presents several strategies for the application of guiding workshops, in order to address the difficulty of sixth grade students to solve problems: reading, analyzing and solving problematic situations in different sets of numbers, reflected in the findings obtained in the institutional tests and in the so-called “TESTS KNOW”. The results of the research determined that the participants managed to solve problem situations, from the understanding of the problem statement, clarification of doubts, identification of all the data and what he wanted to find, formulation of a plan to find a solution, operations correctly and Verification of the result. Finally it is proposed to the Institution to assign an hour of Formulation and Solution of Mathematical Problems, besides the planning of classes from Workshops Guides, since they facilitate the construction of knowledge from significant learning and interaction with the other. Keywords Mathematical competences, Problem solving, Basic Operations of Natural Numbers

scholarly journals Mathematics Educators’ Perspective on Pre-service Mathematics Teachers’ Professional Competencies

2021 ◽  
Vol 4 (1) ◽  
pp. p55
Author(s):  
Sirirat Chaona ◽  
Maitree Inprasitha ◽  
Narumon Changsri ◽  
Kiat Sangaroon
Keyword(s):  
Mathematics Teachers ◽  
Lesson Study ◽  
Design Research ◽  
Teaching Practice ◽  
Lesson Plan ◽  
Professional Competencies ◽  
Open Approach ◽  
Problem Situations ◽  
Mathematics Educators ◽  
Mathematical Problems

This research was designed to study pre-service mathematics teachers' professional competencies to assist student learning by using Lesson Study and Open Approach innovations from mathematics educators' perspectives. A total of 35 mathematics educators have more than three years of experience not only in terms of utilizing the Lesson Study and Open Approach innovations but also in providing training to the pre-service mathematics teachers were selected. The researchers employed three data collection methods, namely document analysis, a survey using a questionnaire, and interviews. The obtained data from three sources was designed with the principle of triangulation. The findings of this research were presented under the three steps of the Thailand Lesson Study Model. In the first step, “Collaboratively Design Research Lesson Plan”, pre-service teachers can create problem situations that associated with the students' real world, can analyze the context of the problem situations, can analyze keywords that initiate students' ideas, can anticipate students' ideas, and can prepare teaching materials to support students' ideas. This is followed by the second step as “Collaboratively Observe Research Lesson”. The findings revealed that pre-service teachers can observe students’ ideas when their students were solving mathematical problems, can notice students’ difficulties in their learning, can give feedback using words that match with students’ proficiency level, give students opportunities to show how to think and present their ideas, listen to and accept students’ opinions, and taking notes on students’ ideas or pieces of learning evidence. The findings of the final step namely “Collaboratively Reflect on Teaching Practice” showed that pre-service teachers could reflect the learning outcomes by correlating students’ ideas with the instructions.

Distractors in Nonverbal Mathematical Problems

1978 ◽  
Vol 9 (1) ◽  
pp. 55-61
Author(s):  
Jack Bana ◽  
Doyal Nelson
Keyword(s):  
Problem Solving ◽  
Grade Level ◽  
Division Problem ◽  
Problem Situations ◽  
Mathematical Problems ◽  
Color Attribute

Four matched groups of eight children in each of Grades 1, 2, and 3 attempted a division problem in one of four distraction settings: minimal, situational, color-attribute, or spatial-numerical distraction. The effects of both grade level and distraction setting on problem-solving performance were highly significant. The results suggest that distractors play a key role in nonverbal problem solving. Much more research, however, is needed if the role of distractors in nonverbal problem situations is to be clearly understood.

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