This study aimed to investigate the impact of Learning Trajectories (LT[superscript 2])-based games on the mathematical learning of four-year-old kindergarteners. The research employed the ADDIE paradigm, incorporating a pre-test, post-test, and a control group experimental design. The sample group comprised 30 children--15 in the experimental group and 15 in the control group--enrolled in an independent kindergarten in the center of Mugla. The research initially adhered to the five fundamental stages of the ADDIE model: analysis, design, development, implementation, and evaluation, in a comprehensive manner. We created twelve games grounded in the learning trajectories and, in the concluding phase, administered a pre-test and post-test to assess the model's efficacy. The experimental group's TEMA-3 post-test results markedly surpassed those of the control group, demonstrating a substantial influence. This indicates that digital games designed around learning trajectories are an excellent means of enhancing mathematical abilities.