There are several things you can do with gum. You can make bubbles, stick underneath a desk or seat or even make art with it. But let's focus on the other end of your mouth for the moment. Let's swallow gum. When we were younger our parents would tell you not to swallow chewing gum, because it might obstruct your digestive tract. What kid has ever listened to their parents?
But how can you swallow chewing gum. There are several ways you can do this.
1) The obvious way, just swallow it like a pill.
2) While you enjoying your gum, take a bite of cookie. You will be surprised to notice that your gum is slowly disintegrating. How do I know this? Well, as any normal kid, I never had the patients to enjoy one candy at a time. Whenever my parents weren't around I would put a piece of gum in my mouth and on occasion after some time I would feel like a cookie. After a bite of the cookie and chewing the cookie a bit, I noticed that the chewing gum I was hiding in a different place in my mouth (so I could enjoy it after the cookie further) was slowly disintegrating or dissolving. Which ever it may be, it made NOT swallowing the gum a lot more difficult.
3) Leave your gum in the car under a backing sun, especially the long/flat shaped gum. The gum might be a bit stuck to its wrappings, but it will come off. Put it in your mouth and start chewing. At first the gum will behave normally, but after a minute or so, the gum will feel as it is dissolving in your saliva. It takes patience in chewing NOT to swallow the gum. The nice thing is, you will get a nice fresh breath more quickly this way. Again, I found this out by parking my car in the sun of Davis in the summer. If you use chewing gum with sugar, the effects of the heat are even more pronounced.
Why would you want to swallow your gum? I am not sure, but disintegrated/dissolved gum does taste just like mints.