Sim Real http grimstad uia noperhhphhMat RICSim Realnosim

Sim. Real http: //grimstad. uia. no/perhh/phh/Mat. RIC/Sim. Real/no/sim. htm Per Henrik Hogstad

Mat. RIC Group: Visualization / Simulation / Programming Per Henrik Hogstad How can we use new technology to better teach, learn, understand enjoy mathematics?

Visual Learners Bungee Jump: Acceleration greater than the acceleration of gravity

Interesting Topics Linear accelerator Mammography Osteoporosis Vein prosthesis Mathematical transformation of medical images Visual Learners Interactive visualization / simulation Programming

Why Visualization / Simulation / Programming? We are visual learners A different point of view … The study of more realistic situations Test of mathematical models What if? Consequence of changing parameters … The understanding of variables, parameters, … The understanding of differentiation, integration, … The understanding of transformation The understanding of mathematical logic Web presentation …

Sim. Real

Sim. Real: Visualization – Simulation – Programming

Sim. Real – Mathematics / Physics / Statistics / ICT (~ 5000)

Sim. Real – Mathematics - [1/5]

Sim. Real – Mathematics – [2/5] Web page where you can read about mathematical topics. Click on the picture to listen to a video lesson and do simulation.

Sim. Real – Mathematics Listen to a video lesson – [3/5]

Sim. Real – Mathematics Look at a video simulation – [4/5]

Sim. Real – Mathematics Execute an interactive simulation – [5/5]

Streaming [1/3]

Streaming [2/3]

Streaming [3/3]

Activity – Research: Master Thesis – 3 Ui. A (Albania 1, Norway 2) Ph. D – 1 Ui. A Research Teacher Education – 2 Ui. A Programming group – 2 Ui. A (5 + 2 students) Cooperation – Different universities in Norway and other countries

Sim. Real – Mathematics – Differentiation / Integration - Research

Sim. Real – Cooperation University of Vorarlberg, Austria Internet Course Mathematics 3 University of Groningen, Holland Simulation Tomas Bata University in Zlin University of Ostrava Video conference - Sim. Real University of Loughborough, England Teacher Education University of Oslo, Norway SFU Center Technology / Science NTNU, Norway Simulation University College Buskerud / Vestfold Simulation

Sim. Real: New Version Action. Script Open system Translating existing Sim. Real ~ 5000 Internet Java. Script Students and teachers can use existing simulations and program their own simulations Mathematical Libraries Templates Python

Template Pre-prepared Framework Programming by the help of a browser Open source code

Sim. Real: Programming in a Browser PC – Laptop – Tablet – Mobile Phone – TV – … Internet – Java. Script – Python

Database Streaming Exercise Video Lesson A common Resource Database Video Simulation Practical Application Interactive Visualization / Simulation Programming

Summary: Visualization - Simulation - Programming Java. Script Python Templates Students / Teachers Programming Resource Database Internet

2017 2016 December 12, 13, 14 University of Oslo SFU 2017 January 06 Sim. Real Video Conference Tomas Bata University in Zlin University of Ostrava 2017 January – March Templates of new Sim. Real Transforming Sim. Real to new system Sim. Real in Physics Connection Java. Script / Python 2017 March – July Templates of new Sim. Real Transforming Sim. Real to new system 2017 August – December Sim. Real in Mathematics 3 University of Vorarlberg University of Groningen University of Laughborough Teacher Education University of Oslo SFU Cooperation Programming Simulation Course