Routledge Revivals Speaking Mathematically 1987

First published in 1987, this book examines mathematics school teaching from the perspective that it is a language — arguing that this can illuminate many events that occur in classes and highlight issues that may not have previously seemed important. The central concern is with the processes of communication as they are shaped by school conventions and the fact that it is mathematics being discussed. Speaking, listening, writing and reading are examined and analysed with the first half focusing on verbal interactions and the second half examining aspects of pupil written mathematics. Also explored is the nature of the mathematical writing system itself and how pupils gain access to it.

The role of literacy instruction extends far beyond traditional English language arts classrooms. Cultivating Literate Citizenry Through Interdisciplinary Instruction delves into the necessary concepts within the realm of literacy across and within various academic disciplines. From the foundational core courses of English language arts, mathematics, science, and social studies to enriching extracurricular pursuits like agriculture, theater arts, visual arts, and kinesiology, this book encapsulates the essence of fostering literacy competencies in all domains. This comprehensive resource caters to a diverse audience, spanning preservice and in-service teachers, teacher educators, district and school leaders, and educational researchers. It is a versatile tool, ideal for integrating literacy methods courses focusing on content-area and disciplinary literacy instruction across all age groups. Practicing teachers will find it an invaluable resource for their ongoing professional development, while educational leaders will gain profound insights to inform their instructional support strategies.

First published between 1985 and 1987, this set of books attempts to tackle some of the complex issues implied by the title Language, Education and Society. For example how is language related to learning? Or to intelligence? Do regional and social accents and dialects matter? What is meant by standard English? Do immigrant children require special language provision? Why are there so many adult illiterates in Britain and the USA? Although the importance of language to education is agreed there is still a lot to learn about how language is related to either to educational success or to intelligence and thinking — both fields to which this collection contributes valuable research. Some of the specific topics the covered by the wide-ranging and insightful research contained in this series include: an analysis of the school teaching of mathematics from the perspective of mathematics as a language — principally how the processes of communication in a maths classroom are shaped by school conventions and the fact that it is mathematics under discussion; an examination of the changing patterns in English usage and style, especially written usage — focusing on questions of syntax and punctuation — and how this relates to speech and the value of usage as a social act; an exploration of the history and impact of mass literacy on industrialised societies, how this differs from traditional oral culture, and the effect of a culture where most people rely on complex combinations of oral and literate communication on a sizable sub-literate minority; an investigation into which languages are in widespread use among children and adults in England, the patterns of language use in different social contexts, the teaching of community languages inside and outside of mainstream schools, and the educational implications of this linguistic diversity for all children. This set will be of interest to educational researchers, sociologists and students of sociolinguistics.

First published in 1987, this book examines mathematics school teaching from the perspective that it is a language — arguing that this can illuminate many events that occur in classes and highlight issues that may not have previously seemed important. The central concern is with the processes of communication as they are shaped by school conventions and the fact that it is mathematics being discussed. Speaking, listening, writing and reading are examined and analysed with the first half focusing on verbal interactions and the second half examining aspects of pupil written mathematics. Also explored is the nature of the mathematical writing system itself and how pupils gain access to it.

Didactics of Mathematics as a Scientific Discipline describes the state of the art in a new branch of science. Starting from a general perspective on the didactics of mathematics, the 30 original contributions to the book, drawn from 10 different countries, go on to identify certain subdisciplines and suggest an overall structure or `topology' of the field. The book is divided into eight sections: (1) Preparing Mathematics for Students; (2) Teacher Education and Research on Teaching; (3) Interaction in the Classroom; (4) Technology and Mathematics Education; (5) Psychology of Mathematical Thinking; (6) Differential Didactics; (7) History and Epistemology of Mathematics and Mathematics Education; (8) Cultural Framing of Teaching and Learning Mathematics. Didactics of Mathematics as a Scientific Discipline is required reading for all researchers into the didactics of mathematics, and contains surveys and a variety of stimulating reflections which make it extremely useful for mathematics educators and teacher trainers interested in the theory of their practice. Future and practising teachers of mathematics will find much to interest them in relation to their daily work, especially as it relates to the teaching of different age groups and ability ranges. The book is also recommended to researchers in neighbouring disciplines, such as mathematics itself, general education, educational psychology and cognitive science.

This is a guide to the main developments in the history of British and Irish literature, charting some of the main features of literary language development and highlighting key language topics.

The economic and social challenges confronting the nation today demand that all citizens acquire and learn to use complex reasoning and thinking skills. Education and Learning to Think confronts the issues facing our schools as they take on this mission. This volume reviews previous research, highlights successful learning strategies, and makes specific recommendations about problems and directions requiring further study. Among the topics covered are the nature of thinking and learning, the possibilities of teaching general reasoning, the attempts to improve intelligence, thinking skills in academic disciplines, methods of cultivating the disposition toward higher order thinking and learning, and the integral role motivation plays in these activities.