Optimization algorithms are mathematical functions that are widely used to solve objective function problems through maximization or minimization. Typically, students at the beginner level face difficulties in understanding the complex mathematical solutions used in optimization algorithms. This paper presents an educational graphical user interface (GUI) for simulation of various topology optimization algorithms that users can use to explore the behavior of local search (LS), tabu search (TS) and particle swarm optimization (PSO) algorithms. The GUI is created using the MATLAB GUIDE tool, which acts as a front-end interface that can be used for teaching as well as learning. Benchmark functions such as the De Jong first function (DF), the Griewank function (GF), the Himmelblau function (HF) and the Periodic function (PF) were used to validate the investigated optimization algorithms. The developed GUI has features where the user can enter functions, define boundary limits, specify solver parameters and select the type of output display. The results of the instance HF function shown using the GUI optimization tool are in good agreement with the benchmark function.