Whether you choose to study on your own, take online courses or enroll in a music school, music/method books are always a must. Here are the "Saxophone Music Books for Beginners". Note that some books may be used for self-study while others are meant to supplement those that your teacher recommends. It is recommended though, especially for younger players, to use these books under a teacher's guidance.
This is a book and cd pack published by Hal Leonard. This book is meant for beginners to easily and quickly learn how to play the saxophone. It is user-friendly so those who choose to self-study will learn from it as well. It has instructions, lessons, illustrations, pictures, standard notation and fingering chart.
This is a book/cd/dvd/ pack also published by Hal Leonard. It is another self-teaching method that will benefit students of any age whether they self-study or take individual or group lessons. It has 72 full-demo tracks and a 25-minute dvd. Basic lessons are covered from how to assemble your sax to reading music notation and more.
A beginning method book with a bonus dvd published by Koala Publications. Teaches the basics of playing both the tenor and alto sax. It also has a fingering chart.
Has a progressive and thorough approach to the basics of saxophone playing. This will be good as a supplement as it doesn't delve deeper but does present the fundamentals of playing the instrument in an interesting way. Under Alfred's Publishing.