Digital Images + Interactive Software = Enjoyable, Real Mathematics Modeling

2008 ◽  
Vol 101 (8) ◽  
pp. 568-572
Author(s):  
Andy Ventress

Mathematical modeling begins with a phenomenon, and what better way to represent a real-world phenomenon than with a digital camera? When a student records an image with a digital camera rather than doing an exercise from a textbook, that student becomes the owner of his own mathematical activity. Because the problem is now the student's, he or she has considerably more motivation to learn the mathematics.

2013 ◽  
Vol 18 (9) ◽  
pp. 571

This call for manuscripts is requesting articles that address how to use mathematical models to analyze, predict, and resolve issues arising in the real world.


2011 ◽  
Vol 37 (2) ◽  
pp. 56-62
Author(s):  
Jūratė Sužiedelytė-Visockienė ◽  
Aušra Kumetaitienė ◽  
Renata Bagdžiūnaitė

The article explains the possibilities of reconstructing heritage objects. Measurements were made using photogrammetric data received from digital images taken by the Canon EOS 1D Mark III digital camera calibrated in the Institute of Photogrammetry at the University of Bonn (Germany). The images were received applying the PhotoMod photogrammetric software produced in Russia. TIN (Triangulated Irregular Network) and an orthophoto map were made in the investigated objects. The modelling analysis of TIN data was made using ArcGIS software. The purpose of the article is to reconstruct the surface of heritage objects referring to photogrammetric data, to investigate accuracy dependence of heritage object reflection on the methods of preparing the initial data and to evaluate the influence of modelling methods on to the accuracy of reconstructing heritage objects when modelling photogrammetric data and selecting the most appropriate method of modelling parameters to restore the most accurate surface of the heritage object. Santrauka Straipsnyje aprašomos paveldo – architektūrinio objekto paviršiaus modeliavimo galimybės. Modeliavimas atliktas pagal fotogrametrinius objekto duomenis–skaitmenines nuotraukas, darytas kalibruota fotokamera Canon EOS 1D Mark III. Kamera kalibruota Bonos universiteto Fotogrametrijos institute (Vokietija). Objekto nuotraukos apdorotos fotogrametrine kompiuterine programa PhotoMod (Rusija). Sudaryta objekto ortofotografinė nuotrauka ir, parenkant skirtingus duomenų šaltinius, paviršiaus TIN (triangulated irregular network). Skirtingais metodais, naudojantis ArcGIS programa, atliktas fotogrametrinių TIN duomenų modeliavimas ir gauti objekto paviršiaus vaizdai. Įvertintas rezultatų tikslumas ir kokybė. Резюме Описываются возможности моделирования поверхности объекта архитектурного наследия. Моделирование осуществляется с использованием фотограмметрических данных объекта – цифровых снимков, снятых калибрированной цифровой камерой Canon EOS 1D Mark III. Камера калибрирована в Институте фотограмметрии Боннского университета (Германия). Снимки объекта обработаны по фотограмметрической компьютерной программе PhotoMod (Россия). Cделан ортофотографический снимок объекта и с помощью разных источников данных TIN (Triangulated Irregular Network) поверхности. Используя программу ArcGIS, разными методами проведено моделирование фотограмметрических TIN данных и получены изображения поверхности объекта. Осуществлена оценка точности и качества результатов.


2021 ◽  
Vol 29 (1) ◽  
Author(s):  
Vanya Ivanova ◽  
◽  
◽  

The subject of this article is to clarify the connection between entertainment in Math lessons and educational STEAM technologies, which have the potential to motivate and stimulate the interest of preschool and primary school age in Math and their cognitive logical - mathematical activity. The article discusses the STEAM approach in its essence and teaching Maths using this method. The article also presents some educational technologies in fun Math, which allow children to discover for themselves through the methods of experimentation, exploration and experience, and this acquired independence leads children to an increased interest and motivation to learn.


2011 ◽  
Vol 135 (2) ◽  
pp. 211-214 ◽  
Author(s):  
Charles L Hitchcock

Abstract Physician shortages are acute in developing countries, where disease burden is the greatest and resources for health care are very limited. A lack of pathologists in these countries has lead to delays in diagnosis and misdiagnoses that adversely affect patient care and survival. The introduction of telepathology into countries with limited resources for health care is but one of multiple approaches that can be used to alleviate the problem. Telepathology is the electronic transmission of digital images that can be used for education and diagnostic consultation. A basic system consists of a microscope with a mounted digital camera linked to a computer. The ability to produce histologic slides, to repair and maintain equipment, and to provide training are also needed for the successful use of this technology. iPath is a Web-based, open platform, software application which was developed at the University of Basel, Switzerland, for telepathology and which brings together pathologists from around the world to provide telepathology support for diagnostic consultation and provides education to centers with limited resources. The use of virtual-slide technology to provide a digital image of an entire glass slide is another technology for diagnostic consultation and pathology education. This technology requires more costly resources to support it, which may limit its utility in many areas. Telepathology can generate collections of digital images and virtual slides needed for training indigenous pathologists in their countries to become self-sufficient. Thus, the long-term goal of this technology is to improve patient care and survival.


2018 ◽  
pp. 216-236
Author(s):  
Samantha Analuz Quiroz Rivera ◽  
Ruth Rodríguez Gallegos

Mathematics cannot be reduced to the use of algorithms. The main objective of teaching mathematics in school is their application in real world situations. Mathematical modeling was born as an answer of this concerned and implies the relation between mathematics and applications. Because of that, teachers need to be correctly training in the use of mathematical modeling in their daily lesson plans. The aim of this study is to propose a methodology for help teachers purchase mathematical modeling as a strategy to teach mathematics. Our methodology is based on the analysis of teachers' conceptions about learning and teaching mathematics and after that promote their evolution. The main characteristic is the collaborative work between teachers and the researcher in cycles of discussion and classes' implementation. The evidence showed that teachers can actually change their conceptions about what is needed for teaching mathematics and design lesson plans using mathematical modeling.


Author(s):  
Samantha Analuz Quiroz Rivera ◽  
Ruth Rodríguez Gallegos

Mathematics cannot be reduced to the use of algorithms. The main objective of teaching mathematics in school is their application in real world situations. Mathematical modeling was born as an answer of this concerned and implies the relation between mathematics and applications. Because of that, teachers need to be correctly training in the use of mathematical modeling in their daily lesson plans. The aim of this study is to propose a methodology for help teachers purchase mathematical modeling as a strategy to teach mathematics. Our methodology is based on the analysis of teachers' conceptions about learning and teaching mathematics and after that promote their evolution. The main characteristic is the collaborative work between teachers and the researcher in cycles of discussion and classes' implementation. The evidence showed that teachers can actually change their conceptions about what is needed for teaching mathematics and design lesson plans using mathematical modeling.


Author(s):  
Chan Wong ◽  
Carlos Montes ◽  
Laine Mears ◽  
John Ziegert

This paper presents an innovative real time 2-dimensional position feedback method, which processes visual input data from a target image on an actively-controlled planar pixel matrix. The objective is to demonstrate the ability to position an X-Y stage with high resolution, using direct position sensing of a dynamically controlled image. In order to achieve high spatial resolution using a pixel array as a target, an algorithm that processes both the geometric shape and the grayscale intensities of the image is implemented. The test platform consists of an X-Y stage carrying a Liquid Crystal Display (LCD) screen that is imaged by a stationary digital camera. The pixel intensities on the LCD screen are modified dynamically to provide 2-dimensional position command inputs that translate to the desired stage motion. The digital images acquired by the camera are used to provide position error feedback to the controller. Experimental results show that direct position sensing is possible to a certain degree of accuracy. However, in order to match today’s CNC machines’ accuracy levels further processing of the digital images is required. A noise reduction algorithm to filter the fluctuations of the measurements in the digital images is proposed as future work, as well as other considerations.


Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 356 ◽  
Author(s):  
António M. Lopes ◽  
Jose A. Tenreiro Machado

This paper addresses the dynamics of four European soccer teams over the season 2018–2019. The modeling perspective adopts the concepts of fractional calculus and power law. The proposed model embeds implicitly details such as the behavior of players and coaches, strategical and tactical maneuvers during the matches, errors of referees and a multitude of other effects. The scale of observation focuses the teams’ behavior at each round. Two approaches are considered, namely the evaluation of the team progress along the league by a variety of heuristic models fitting real-world data, and the analysis of statistical information by means of entropy. The best models are also adopted for predicting the future results and their performance compared with the real outcome. The computational and mathematical modeling lead to results that are analyzed and interpreted in the light of fractional dynamics. The emergence of patterns both with the heuristic modeling and the entropy analysis highlight similarities in different national leagues and point towards some underlying complex dynamics.


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