An algebra book requires a different type of reading than a novel or a short story. Every sentence in a math book is full of information and logically linked to the surrounding sentences. You should read the sentences carefully and think about their meaning. As you read, remember that algebra builds upon itself; for example, the method of multiplying binomials that you'll study on page 200 will be useful to you on page 544. Be sure to read with a pencil and paper: Do calculations, draw sketches, and take notes.
This is the first paragraph from the section entitled Reading Your Algebra Book in the American high school textbook Algebra, Structure and Method Book 1 and also Algebra and Trigonometry, Structure and Method Book 2 both written by Brown, Dolciani, Sorgenfrey et. al.
My question concerns the relationship between the sentences
Every sentence in a math book is full of information and logically linked to the surrounding sentences. You should read the sentences carefully and think about their meaning.
My interpretation is that both careful reading and thought about the meaning should be applied to the information contained in each sentence and the logical links between sentences. Is this interpretation reasonable for a self-learning student?