Teacher's Machine vs. Student's Machine

After reading the chapter in our book, Teaching and Learning, Whose Computer Is It?, I began to question how I use the computer for my students. I do control what websites the students visit and which skills to teach. During snacktime, I let my students listen to storylineonline.net to promote literacy yet it also serves as crowd control and a boredom eliminator. Wow! I am pleased I've integrated technology to teach students skills and reinforce concepts. I do encourage research as well. Is a webquest a teacher tool or student based? I think it touches upon both. Should students create webquests? I think not, but are there better ways I can be allowing my students to use the computer (in first grade) in a safe way. Hmm. It leaves me with something to think about. Any suggestions?