"Heuristic approach" is a teachers' professional development (TPD) method supported by principled practical knowledge (PPK) which focuses on principled practical guidance that develops teachers' capacity in innovative learning designs. This study reports the key features of the design and implementation of a TPD programme aimed at…

The term "professional vision" points to the many nuanced ways professionals see. This paper traces the development of a professional vision of a researcher and a teacher looking at classroom practices. The researcher's interest was to capture and study notable aspects of the teacher's practice. Through a coding scheme, disparate…

This article addresses the relationship among theories related to classroom language and literacy events by first examining the researcher's theoretical perspective on discourse and sociocultural theories of learning development. The analytical heuristic for a microethnographic approach using a variety of theoretical tools is discussed and…

Two heuristic and three rigorous arguments are given for the fact that functions of the form Ce[kx], with C an arbitrary constant, are the only solutions of the equation dy/dx=ky where k is constant. Various of the proofs in this self-contained note could find classroom use in a first-year calculus course, an introductory course on differential…

Proposes that, if classroom teaching is defined as an aesthetic medium, a lesson can be evaluated alternatively as a kinetic performance, a message, or a work of art. Cites applications from research studies of athletics, film and television, and art. Suggests that such an approach could be used to examine the ability of low-achieving students.…

Provides a method for helping young poets shape their poems by arranging lines and inventing poetic patterns. Shows how using odd geometrical shapes can be used to help students determine the arrangement of words in poems and to encourage a vital interaction between the visual form and the words inside it. (HB)

Very few elementary public school teachers in the United States expose their students to religion and spirituality in an in-depth way. Even when they have the necessary knowledge base, they shy away from so dangerous an enterprise. They might fear provoking a challenge from parents who are irreligious and are shocked to find religion being…

Applying and adapting a variety of appropriate heuristic strategies is one of the accepted standards of problem solving (NCTM, 2000). Thinking through a solution to a non-routine mathematical task, experts in problem solving call into play many sophisticated strategies (almost) without conscious efforts, while novices need to be taught how to do…

Argues against the merely descriptive presentation frequently used in teaching biochemistry and in favor of a constructivist approach called heuristic-teleonomic, which unites the process of discovery with adaptation to functional ends. Discusses difficulties inherent to the nature of biochemistry, including the conflict between acquiring…

For this article, the development of 1 teacher's pedagogical content knowledge (Shulman, 1986) was tracked longitudinally across 2 years as she taught a new instructional unit in middle school mathematics. Growth in pedagogical content knowledge is characterized as the interanimation of 2 Discourses (Gee, 1999). One Discourse refers to…

The apprenticeship model can be adapted to teaching and learning cognitive skills in reading, writing, and mathematics, as illustrated by three successful examples. A cognitive apprenticeship framework is presented for the design of learning environments incorporating content taught, pedagogical methods, sequencing of learning activities, and…

Maintains that there is a lack of research on teaching styles and that teaching and learning styles are distinct topics and should be studied separately. Discusses research findings related to descriptive aspects of teaching styles. Presents a six-part model of teacher behaviors that comprise teaching style. (CFR)

This document presents the proceedings of the 31st Annual Conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of this conference is "Navigating Currents and Charting Directions." The theme reminds us that, although we are constantly pushed to account for the quality and impact of our research, we…