Learning and teaching mathematics using simulations

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This resource offers a mathematics course featuring 60 interactive Java-based simulations and a comprehensive collection of 2,000 physics simulations, all accessible online and offline. It emphasizes visualization of mathematical relationships, promoting an experimental understanding of problems with suggestions for personal mathematical experiments. Users can adjust calculation procedures and are introduced to simulation techniques using the Easy Java Simulation (EJS) tool. The resource includes a visual interface for straightforward modeling and programming, along with a library of building blocks for creating custom simulations. Quick access to simulations is facilitated through embedded links in the digital text. Recognizing that mathematical skills extend beyond arithmetic mastery, the author emphasizes the importance of understanding relationships in time and space through clear formulas. Insight and intuitive understanding are crucial for grasping abstract concepts like complex numbers and differential equations. The practical approach allows students to engage directly with simulations, visualize relationships, and interact creatively with calculations. Each simulation includes detailed descriptions and experimentation suggestions, with the possibility to modify or create new functions. The appendix provides an introduction to EJS, and the work is designed for upper-secondary school teachers and students, fostering ha