Learning through discovery and inquiry is one of the cornerstones of mathematics education theory. The examples provide scope for the students to rediscover mathematics in an enjoyable way.

One of the arguments for active externalism (also known as the extended mind thesis) is that if a process counts as cognitive when it is performed in the head, it should also count as cognitive when it is performed in the world. Consequently, mind extends into the world. I argue for a corollary: We sometimes perform actions in our heads that we…

Dynamic inquiry learning emphasizes aspects of change, intellectual flexibility, and critical thinking. Dynamic inquiry learning is characterized by the following criteria: learning as a process, changes during the inquiry, procedural understanding, and affective points of view. This study compared the influence of open versus guided inquiry…

In this article, the author describes her attempt to develop more interactive mental mathematics sessions. She observed that her students perceive the multiplication tables as a series of facts which are either known or not known, not as tools which could be used to derive other facts in a flexible manner. She therefore undertook the task of…

In this article, the author talks about Galen, a Greek physician who is known to psychologists largely for his personality theory of the four temperaments, and his method of diagnosing the basis of one of his patients' symptoms using a form of single-subject reversal design long before its formal description. Galen's method to diagnose the cause…

Defines and characterizes the steps involved in thinking creatively, pointing out numerous contraditions about creative thinking. (RB)

Creativity theory supports the conclusion that when a person recognizes the isomorphism in an analogic construct, that insight is the essentially creative act. Infraconscious mentation is more likely to produce insightful analogies than is rigorous, willful, consciously rational mentation, because infraconscious mentation, operating in the mode of…

BECAUSE OF THE EVER INCREASING EXPANSION OF KNOWLEDGE AND CULTURAL CHANGES, TEACHING CHILDREN TO DISCOVER (DEFINED HERE AS THE ACQUISITION OF AN ABILITY TO FORMULATE AND SOLVE PROBLEMS) SHOULD BE GIVEN CONSIDERABLE SIGNIFICANCE AS AN EDUCATIONAL GOAL. THE PURPOSE OF THIS REPORT IS (1) TO CLARIFY CERTAIN ASPECTS OF TEACHING CHILDREN TO DISCOVER,…

Documents the search for an adequate conceptualization of writing and argues for the inclusion of personal experiences with composition as the basis for any teaching or research activity. (SRT)

Describes the learning experiences of three kindergarten students, providing an account of their teacher overcoming prejudice toward computers. (BJD)

Compares the performances of college students in an inquiry approach chemistry laboratory to those in a conventional laboratory. During one of three semesters studied, all analyses of eight pretests and posttests significantly favored the experimental group. Concludes that in a variety of actual learning situations the inquiry method results in…

Describes an experiment which relies on the experimentation-discovery method of learning. (SB)

Personal evaluation of the use of a personal diary to identify conscious learning. (RB)

Discusses the pitfalls of wholesale adoption of fashionable educational methods in general, and inquiry in particular. (JB)