Ganesha teaches us a lot of things. One of the same is staying true to the word, sacrifices made, the importance of duty, etc. According to popular belief, the aspects of parental love, etc. make sure that one is reminded of their duty to the parents. Similarly, his dedication to his family members and children is commendable.
On Ganesh Chaturthi, devotees bring in the auspicious idols at home to show their love and affection for the most popular festival of the year. Similarly, offerings like the blog, Modak, hymns, etc. It brings out the importance of having a social aspect of life, being caring and honest towards the duty assigned and being dedicated to the situation while staying prudent.