Someone asked me today what the difference was between Saxon Math and Singapore Math.
The difference is fairly simple. Saxon’s instruction is cyclical. It provides instruction, gives clear examples, then gives plenty of practice. It will then cycle back to review the concepts again later in the course (often with practice). Saxon does include some critical thinking skills, but its primary goal is to help students learn the skills involved in math. Therefore, you will find a lot of repetition in Saxon Math.
I usually recommend Singapore for students who have strong math skills. Singapore approaches math with the goal of developing mental math skills. It begins by teaching a concept, providing some practice, then taking the concept further with mental math activities. With Singapore, you will see a lot of word problems as well as graphs for analysis, etc.