One of my favorite aspects of podcasts is how they are able to reach students in a completely different way than lecturing or group work or any other teaching method. Students who are audio or visual learners will benefit from podcasts and or videos.
I believe that even math teachers can benefit greatly from using podcasts in a classroom. It is a unique way to introduce a subject to students in a fun way. Probing students with questions to answer while listening to a podcast increases their listening skills: something helpful in all subject areas. Intructional videos are great for math because if a student is struggling or misses class, there are many resources for them to watch and learn what they missed. Finally, I believe that podcasts or videos of catchy songs are particularly beneficial for math since there is necessary memorization that is difficult for some students.