Mathematics as a Constructive Activity

• Contents: Preface. Introduction in Exemplification in Mathematics. Learner-Generated Examples in Classrooms. From Examples to Example Spaces. The Development of Learners' Example Spaces. Pedagogical Tools for Developing Example Spaces. Strategies for Prompting and Using Learner-Generated Examples. Mathematics as a Constructive Activity. Appendices.

"...found this book enlightening and delightful, useful for the teacher and thought provoking for the researcher....one of the most enjoyable and enlightening aspects of the book, namely, the more than sixty mathematical tasks sprinkled between it covers."—International Reviews on Mathematical Thinking"The authors...describe this text as being 'about the teaching strategy of asking learners to construct their own examples of mathematical objects.' They 'show not only can all learners construct mathematical objects, but the act of construction can engage learners who might otherwise be passive and uninterested.' Recommended."—CHOICE"The book is a worthy addition to any library. It will appeal to a diverse audience: Anyone who enjoys the thrill of communicating and sharing the satisfaction of unanticipated discoveries through the act of constructing examples will welcome the book."—Mathematical Thinking and Learning"I have read the book both as a mathematics educator, and, more recently, as a teacher educator. Both I and my students have been constantly surprised, as we read each chapter, at how applicable, fresh, and generative the idea of using learner-constructed examples in the classroom has been....Everyone, from the kindergarten to the high school teacher, and from the special education consultant to the doctoral student, has found ideas to work with, to try, and to challenge and improve their own practices."—Nathalie SinclairMichigan State University