Reviews research on the physiology of learning, suggesting the development of a new educational model consistent with natural brain development. Considers connected learning a physiological imperative. Discusses ways of using the Natural Human Learning Process (NHLP) in the classroom and the development of an NHLP curriculum unit. (27 citations)…

Explores what kinds of calculus-related insights seem to typify calculus-related reasoning. Introduces "qualitative calculus" in which learning is focused on synthesis. Discusses the resemblance and difference between traditional calculus and qualitative calculus, advantages of learning qualitative calculus, and how understanding qualitative…

Contrasts recent views of learning and cognition with cognitive learning theories of the late 1950s and early 1960s. Maintains that Jerome Bruner's spiral curriculum approach, still valuable, is not sufficient to explain cognitive development. Proposes a lattice-like cognitive development structure, inviting differing paths of exploration. (CFR)

One of the most common misconceptions about probability is the belief that successive outcomes of a random process are not independent. This belief has been dubbed the "gambler's fallacy". The belief that non-normative expectations such as the gambler's fallacy are widely held has inspired probability and statistics instruction that attempts to…

Advances in cognitive science have greatly increased our knowledge of how the human mind stores and uses information. That knowledge can be used to decompose curricular objectives so as to increase the specificity of instruction to a level of precision that should greatly enhance student writing. This article identifies some major types of…