This article describes how a teacher orchestrated a productive mathematics discussion to draw out mathematical knowledge and connect different areas of mathematics following a geometric sequences task. Whenever teachers succeed to engage their students in producing mathematics, it is advantageous for their moves to be analysed, discerned and…

A basic principle of second language learning is the need to negotiate meaning in any language-learning situation. Once meaning is established, comprehension follows. Clusters of meaning result in schemata, which serve as the basis for sustained communication and ultimately, permanence of language learning. The comprehension approach to second…

THE 16 CLASSROOM EPISODES PRESENTED IN THIS REPORT WERE SELECTED BECAUSE (1) THEY RELATE CLOSELY TO IMPORTANT PRINCIPLES AND CONCEPTS OF LEARNING AND (2) THEY HAVE HIGH INSTRUCTIONAL VALUE FOR PROSPECTIVE TEACHERS. IN DEVELOPING THE EPISODE MATERIALS, THE INVESTIGATORS PHOTOGRAPHED AND TAPE RECORDED WIDE VARIETIES OF CLASSROOM EVENTS FROM ONGOING…