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Thinking as Communicating
This book is an attempt to change our thinking about thinking. Anna Sfard undertakes this task convinced that many long-standing, seemingly irresolvable quandaries regarding human development originate in ambiguities of the existing discourses on thinking. Standing on the shoulders of Vygotsky and Wittgenstein, the author defines thinking as a form of communication. The disappearance of the time-honoured thinking-communicating dichotomy is epitomised by Sfard's term, commognition, which combines communication with cognition. The commognitive tenet implies that verbal communication with its distinctive property of recursive self-reference may be the primary source of humans' unique ability to accumulate the complexity of their action from one generation to another. The explanatory power of the commognitive framework and the manner in which it contributes to our understanding of human development is illustrated through commognitive analysis of mathematical discourse accompanied by vignettes from mathematics classrooms.
Technology in Mathematics Education
This document contains papers presented at the 19th annual conference of the Mathematics Education Research Group of Australasia. Topics of the presentations include learning research, mathematical representations, problem solving, strategic learning behaviors, algebraic thinking and learning environments, teaching and learning of algebra, assessment, disabilities, calculators, collective argumentation, teachers' beliefs and practice, primary mathematics, differential calculus, teachers' knowledge, trigonometry and geometry, professional development, issues in teaching, standardizing the curriculum, team writing, statistics, Newman error analysis, gender issues, Internet, transition to secon...
Teaching and Researching Writing
This third edition of Teaching and Researching Writing continues to build upon the previous editions’ work of providing educators and practitioners in applied linguistics with a clearly written and complete guide to writing research and teaching. The text explores both theoretical and conceptual questions, grapples with key issues in the field today, and demonstrates the dynamic relationship between research and teaching methods and practice. This revised third edition has been reorganized to incorporate new topics, including discussions of technology, identity, and error correction, as well as new chapters to address the innovative directions the field has taken since the previous edition...
Mathematical Discourse
An examination of mathematical discourse from the perspective of Michael Halliday's social semiotic theory.
Speaking Mathematically
This stimulating study focuses on mathematics as a language with its own rules and conventions and explores the implications of this for classroom practice.
