Students often voice computations during group discussions of mathematics problems. Yet, this type of private speech has received little attention from mathematics educators or researchers. In this article, we use excerpts from middle school students' group mathematical discussions to illustrate and describe "computational private…

This article reports findings from a qualitative study of Spanish-English code-switching--or "Spanglish"--among bilingual Latina/Latino sixth graders at a middle school in East Los Angeles. Analysis of the data revealed significant parallels between the skills embedded in students' everyday use of "Spanglish" and the skills…