- Edited
Kaydia I don't understand why the phrasing was done the way it was for those pieces in the book. It makes a huge difference in the way they sound.
The book "teaches" concepts that the student is capable of understanding at the time. As the student learns more, the concepts change or become more advanced.
For instance; in your book the rests are marked with the word rest! only because the book is teaching recognition of the symbol to rest and the marks will go away in short order because the author assumes you learned what the symbol means and don't need it explained again and again and again forever. This will change/become more advanced as you learn there are different symbols for "rest" and what those symbols mean in their various iterations. But for now, you learned what a "rest" is. (By the way, when a pianist "rests" they lift and float that resting hand to give it something to do instead of freezing it to hover over the keyboard (like I do) because freezing it in place adds tension. Which is a bad thing.)
Phrasing is a different animal entirely. It is the melody by which the music flows. Much like speaking, music has small pauses and inflections placed strategically so that it's not a run-on monotone of words. Part of learning how to spot the melody is learning where phrases begin and end. In your music, the rest! is an aid but you should be looking at the music too. Notice that there's a half-note immediately preceding the marking. The music holds on that note to draw it out and emphasize that point. Then it returns to the pattern which culminates in yet another half-note emphasis. These are the phrases (or "sentences") in the music.
To help you spot this, try clapping the notes for the correct duration of the notes. (Claapp, claapp | clap-clap-clap | clap-clap claapp <-- pay attention to the arched lines in the score because they "link" the notes together like I used hyphens here.) You'll see where the phrases, as well as the small pauses and inflection/emphasis points are, and you'll learn to start to recognize the melody based on the sheet/notes rather than having to hear it first.
You should actually clap to start but eventually you'll begin to do it in your head automatically as you look over the sheet music as part of preparing to play it.