David C. Geary's thesis has the potential to alter our understanding of those aspects of human cognition relevant to instruction. His distinction between biologically primary knowledge that we have evolved to acquire and biologically secondary knowledge that is culturally important, taught in educational institutions and which we have not evolved…

This paper discusses recent research on cognition and its implications for mathematics education. Learning as a generative process, structural organization, processing of information, processes and structures, individual differences, brain research, higher-order processes, motivation, and delay-retention effects are discussed. (MS)

The learning of mathematics is presented as a cognitive process rather than as a behavioristic one. A generative model of mathematics learning is described. Learning with understanding can occur with discovery or reception treatments. Relevant empirical research is discussed and implications for teaching mathematics as a generative process are…

Numerous mathematical examples are presented which illustrate and raise questions about students' tendencies to overgeneralize. (BB)

Some uses of fruits and seeds to facilitate problem solving and cognitive processes in young children are suggested. (MR)

An approach to teaching geometry is promoted that allows students to decide for themselves what they could prove from given information. Such an approach allows pupil involvement in the personal process of discovering mathematical ideas and formulating problems. It is noted these methods will not work for all. (MP)

A review is made of that literature which focuses on the relationship of instructional method, internal cognitive activity and performance measures. This includes literature concerned with the issue of "discovery versus reception learning" and the effects of different instructional methods on retention, delayed retention and transfer tasks. The…

Presents an inquiry-based approach to promoting critical thinking in psychology. Maintains that the model emphasizes helping students ask thoughtful questions. Discusses research results supporting the use of questioning techniques to enhance critical thinking. (CFR)

The IADIS CELDA 2012 Conference intention was to address the main issues concerned with evolving learning processes and supporting pedagogies and applications in the digital age. There had been advances in both cognitive psychology and computing that have affected the educational arena. The convergence of these two disciplines is increasing at a…