Thinking as Communicating: Human Development, the Growth of Discourses, and Mathematizing
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.
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4 Thinking in Language
5 Mathematics as a Form of Communication
5x + 8 7x + 4 x
Endorsed narratives on
Figure 66 Fourstage model of the development of word use
8 Explorations Deeds and Rituals
9 Looking Back and Ahead
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Thinking as Communicating: Human Development, the Growth of Discourses, and ...
No preview available - 2008
abstract actions activity agoras algebraic boxes chapter child claim cognitive cognitivism cognitivist commognitive conﬂict communication complex concept construction context count d-objects deeds deﬁned deﬁnition difﬁculty discourse on thinking discursive objects endorsed narratives entities Episode example exploration expressions Eydan fact ﬁnd ﬁnding ﬁrst ﬁve function Gur’s human ical implemented individual interlocutors interpersonal interpreted Interviewer krasnal language learner learning disability linguistic marbles mathematical discourse mathematical objects mathematicians mathematists means metadiscursive metalevel metaphor metarules Mira monological nature nouns number-words objectiﬁcation one’s participants participationist patterns people’s performance person phenomena phenomenon practical present procedure produce quandaries question realization trees recursive reﬂect reiﬁcation result rituals role Roni and Eynat Roni’s routines rules Sapir–Whorf hypothesis sentence Sfard shekel signiﬁer speak speciﬁc subsuming discourse symbolic talk Talli task teacher term thing tion understanding utterances Vygotsky whereas William of Ockham Wittgenstein words