Problem solving and problem posing have long been of interest to the mathematics
education community. In this survey paper we first look at some of the seminal moments in …

In this chapter, the authors note that during the past 30 years there have been significant
advances in our understanding of the affective, cognitive, and metacognitive aspects of …

Abstract In the United States (US) and elsewhere across the world, undergraduate
mathematics instructors are increasingly aware of the value of inquiry-based instruction. In …

Though written accounts of collegiate mathematics teaching exist (eg, mathematicians'
reflections and analyses of learning and teaching in innovative courses), research on …

The purpose of this article is to contribute to the dialogue about the notion of advanced
mathematical thinking by offering an alternative characterization for this idea, namely …

Teaching in a manner consistent with reform recommendations is a challenging and often
overwhelming task. Part of this challenge involves using students' thinking and …

In college level chemistry courses, reasoning using molecular and particulate descriptions of
matter becomes central to understanding physical and chemical properties. In this study, we …

This paper provides an overview of the Inquiry-Oriented Differential Equations (IO-DE)
project and reports on the main results of a study that compared students' beliefs, skills, and …

212 MATHEMATICS TEACHING IN THE MIDDLE SCHOOL ● Vol. 15, No. 4, November 2009
Page 1 212 MATHEMATICS TEACHING IN THE MIDDLE SCHOOL ● Vol. 15, No. 4, November …

The transition from secondary to tertiary education is the process experienced by students
leaving secondary school and entering different kinds of postsecondary institutions …