Reddit reviews Beeler Method for the Cornet Book 1 (Walter Beeler Series for Brass Instruments)

The Beeler Method is a bit older. It's like the others for the most part. Here's a link:https://www.amazon.com/Beeler-Method-Cornet-Walter-Instruments/dp/0769225667
Also consider starting your student early on books like the Arban's, Clarke's Technical Studies, and Charles Colin's Advanced Lip Flexibilities for Trumpet.

Yes, actually. Walter Beeler Method for Cornet/Trumpet, book one is a good book for very little money. Once you get through it, and can confidently play the stuff (at a reasonable level of success, anyway), I'd look into either volume two of the book, or either the first or second volumes of the Getchell etudes books (depending on what you feel comfortable with). One important thing to mention, is that trumpet typically requires a little bit of maintenance practice to keep your face working. When possible, I like to offer this to students in the form of etudes, rather than mundane exercises (unless they really like math or coding).

These are what I use for motivated students. When it comes to the Getchell etudes, as well, I have the competent-enough ones transpose the easier ones into different keys. I may not have a Juilliard studio's worth of kids, but they can typically all do something pretty useful when it comes to playing.

I agree with u/thomasJCK on the trumpet suggestions.

Regarding books, you could try Arban's.. since you can download it for free from imslp.org http://imslp.org/wiki/Method_for_the_Cornet_(Arban%2C_Jean-Baptiste)

Though it's definitely not the best for beginners.

I've recently bought these for my kids.

• [Hovey] (https://www.amazon.com/gp/product/0769222153/ref=oh_aui_detailpage_o03_s00?ie=UTF8&psc=1)
  
• [Beeler] (https://www.amazon.com/gp/product/0769225667/ref=oh_aui_detailpage_o01_s00?ie=UTF8&psc=1)