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Radford, Luis; Puig, Luis – Educational Studies in Mathematics, 2007
Before the advent of symbolism, i.e. before the end of the 16th Century, algebraic calculations were made using natural language. Through a kind of metaphorical process, a few terms from everyday life (e.g. thing, root) acquired a technical mathematical status and constituted the specialized language of algebra. The introduction of letters and…
Descriptors: Syntax, Problem Solving, Algebra, Semiotics

Cohen, Sophia R. – Child Development, 1985
Used descriptive analysis and a forced choice task to investigate childrens' and adults' production, interpretation, and judgment of notation. Results showed that young children may not impose the same symbol-meaning structure at decoding that was proposed at encoding. Only after this ability develops does a preference for one form-one function…
Descriptors: Children, Cognitive Development, Encoding (Psychology), Language Acquisition
UPTON, ALBERT – 1961
THIS BOOK ABOUT THE FUNCTIONS OF LANGUAGE IN HUMAN LIFE EMPHASIZES LEARNING HOW TO CLASSIFY, DEFINE, AND ANALYZE. FOLLOWING AN EXPLANATION OF THE PHYSIOLOGICAL AND PSYCHOLOGICAL ROOTS OF LANGUAGE, CHAPTERS ON ANALYSIS, MEANING, SIGNS, AMBIGUITY, SEMANTIC GROWTH, AND METAPHOR LEAD TO A DESCRIPTION OF THE COMMUNICATIVE FUNCTION OF LANGUAGE,…
Descriptors: Classification, Communication Skills, Communication (Thought Transfer), Creative Thinking