Conversation theory

Conversations can be conducted at a number of different levels:[4]

• Natural language (general discussion)
• Object languages (for discussing the subject matter)
• Metalanguages (for talking about learning/language)

Through recursive interactions called "conversation" their differences may be reduced until agreement—that is, agreement up to a point which Pask called "agreement over an understanding"—may be reached. A residue of the interaction may be captured as an "entailment mesh", an organized and publicly available collection of resultant knowledge, itself a major product of the theory as devotees argue they afford many advantages over semantic networks and other, less formalized and non-experimentally based "representations of knowledge".

The Derivation of a concept from at least two concurrently existing topics or concepts

Alternative derivations may be shown with conjunctive (AND) and disjunctive pathways (OR). This is logically equivalent to T1 = (T2 AND T3) OR (T4 AND T5)

Any two concepts can produce the third, shown as the cyclic form of three concepts --- note that the arrows should show that BOTH T1 and T2 are required to produce T3; similarly for generating T1 or T2 from the others.

Lastly, a formal analogy is shown where the derivations of the concept triples are indicated. The diamond shape denotes analogy and can exist between any three topics because of the shared meanings and differences.

Analogy

The relation of one topic to another by an analogy can also be seen as a restriction on a mapping and a distinction to produce the second topic or concept.

From conversation theory, Pask developed what he called a "Cognitive Reflector". This is a virtual machine for selecting and executing concepts or topics from an entailment mesh shared by at least a pair of participants. It features an external modelling facility on which agreement between, say, a teacher and pupil may be shown by reproducing public descriptions of behaviour.[5] We see this in essay and report writing or the "practicals" of science teaching.

Lp was Pask's protolanguage which produced operators like Ap which concurrently executes the concept, Con, of a Topic, T, to produce a Description, D. Thus:

Ap(Con(T)) => D(T), where => stands for produces.

A succinct account of these operators is presented in Pask[6] Amongst many insights he points out that three indexes are required for concurrent execution, two for parallel and one to designate a serial process. He subsumes this complexity by designating participants A, B, etc.

In Commentary toward the end of Pask,[6] he states:

The form not the content of the theories (conversation theory and interactions of actors theory) return to and is congruent with the forms of physical theories; such as wave particle duality (the set theoretic unfoldment part of conversation theory is a radiation and its reception is the interpretation by the recipient of the descriptions so exchanged, and vice versa). The particle aspect is the recompilation by the listener of what a speaker is saying. Theories of many universes, one at least for each participant A and one to participant B- are bridged by analogy. As before this is the truth value of any interaction; the metaphor for which is culture itself.

In order to facilitate learning, Pask argued that subject matter should be represented in the form of structures which show what is to be learned. These structures exist in a variety of different levels depending upon the extent of the relationships displayed. The critical method of learning according to Conversation Theory is "teachback" in which one person teaches another what they have learned.[4]

Pask identified two different types of learning strategies:[4]

• Serialists – Progress through a structure in a sequential fashion
• Holists – Look for higher order relations

The ideal is the versatile learner who is neither vacuous holist "globe trotter" nor serialist who knows little of the context of his work.