The Name Game activity that raises challenging mathematical questions is used to explore random permutations. A permutation of a set is an arrangement of the elements in some order.

Studied effectiveness of instruction in seriation and classification for kindergartners cognitively lagging behind their peers. Found that extensive classification and seriation instruction in a variety of formats was particularly helpful in facilitating cognitive gains for struggling kindergartners. Individualized instruction provided children…

The author's secondary school mathematics students have often reported to her that quadratic relations are one of the most conceptually challenging aspects of the high school curriculum. From her own classroom experiences there seemed to be several aspects to the students' challenges. Many students, even in their early secondary education, have…

This article discusses the challenge mathematics educators face in deciding what and how mathematics is to be taught, and offers some suggestions for teachers of young children based on Piaget's developmental theory of mathematics. Piaget's cognitive stages are briefly described and the concrete stage, which spans the age range included in early…

In this study, a questionnaire was designed to assess Montessori teachers' reported likelihood of intervention in some 25 common situations in Montessori classrooms for 3-6 year olds, as well as to obtain limited background information on the teachers. Subjects were 422 Montessori teachers including 30 from Trinidad (where the questionnaire was…