Fundamental Cycles of Cognitive Growth
نویسندگان
چکیده
Over recent years, various theories have arisen to explain and predict cognitive development in mathematics education. We focus on an underlying theme that recurs throughout such theories: a fundamental cycle of growth in the learning of specific concepts, which we frame within broader global theories of individual cognitive growth. Our purpose is to use our experience in such areas as the SOLO Model, van Hiele levels, process-object encapsulation and symbols as process/concept, to raise the debate beyond a simple comparison of detail in different theories to move to address fundamental questions in learning. In particular, a focus of research on fundamental learning cycles provides an empirical basis from which important questions concerning the learning of mathematics can and should be addressed.
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