About: Implementation of the Systems Approach in Mathematical Modeling, Dynamic Simulation and Visualization Using MS Excel Spreadsheet     Goto   Sponge   NotDistinct   Permalink

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  • One of the most important tasks in teaching of mathematics and science is to use a suitable method for developing of theoretically acquired knowledge. Drawing on their own experience, the authors have found that the best method to be used is the system approach. System approach together with modeling and computer simulation can be understand as one of the most important method in teaching of mathematics and science and simultaneously can be use as suitable method for practical developing of theoretically acquired knowledge. The two case studies, described in the paper, present possibilities of implementation of system approach in creation of mathematical model as well as computer simulation model. The first case study presents animation of the shape of quadratic function depending on change of parameter c in MS Excel worksheet and chart. The second case study presents creation of simulation model of damped harmonic oscillator. The solution is demonstrated progressively – it starts from the physical and mathematical analysis of the problem, then the numerically solution of the mathematical model in MS Excel is presented and it finishes with the presentation of the visualization of motion of the oscillator in MS Excel chart.
  • One of the most important tasks in teaching of mathematics and science is to use a suitable method for developing of theoretically acquired knowledge. Drawing on their own experience, the authors have found that the best method to be used is the system approach. System approach together with modeling and computer simulation can be understand as one of the most important method in teaching of mathematics and science and simultaneously can be use as suitable method for practical developing of theoretically acquired knowledge. The two case studies, described in the paper, present possibilities of implementation of system approach in creation of mathematical model as well as computer simulation model. The first case study presents animation of the shape of quadratic function depending on change of parameter c in MS Excel worksheet and chart. The second case study presents creation of simulation model of damped harmonic oscillator. The solution is demonstrated progressively – it starts from the physical and mathematical analysis of the problem, then the numerically solution of the mathematical model in MS Excel is presented and it finishes with the presentation of the visualization of motion of the oscillator in MS Excel chart. (en)
Title
  • Implementation of the Systems Approach in Mathematical Modeling, Dynamic Simulation and Visualization Using MS Excel Spreadsheet
  • Implementation of the Systems Approach in Mathematical Modeling, Dynamic Simulation and Visualization Using MS Excel Spreadsheet (en)
skos:prefLabel
  • Implementation of the Systems Approach in Mathematical Modeling, Dynamic Simulation and Visualization Using MS Excel Spreadsheet
  • Implementation of the Systems Approach in Mathematical Modeling, Dynamic Simulation and Visualization Using MS Excel Spreadsheet (en)
skos:notation
  • RIV/62690094:18470/13:50001747!RIV14-MSM-18470___
http://linked.open...avai/riv/aktivita
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  • 79193
http://linked.open...ai/riv/idVysledku
  • RIV/62690094:18470/13:50001747
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • visualization; system approach; quadratic function; mathematical modeling; damped harmonic oscilátor; computer simulation; Animation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [1A5F8B65F558]
http://linked.open...i/riv/nazevZdroje
  • International journal of mathematics and computers in simulation
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 7
http://linked.open...iv/tvurceVysledku
  • Hubálovský, Štěpán
  • Hubálovská, Marie
issn
  • 1998-0159
number of pages
http://localhost/t...ganizacniJednotka
  • 18470
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