scispace - formally typeset
Search or ask a question
Topic

Representation (systemics)

About: Representation (systemics) is a research topic. Over the lifetime, 33821 publications have been published within this topic receiving 475461 citations.


Papers
More filters
20 Dec 1978
TL;DR: This work formalizes the concept of an analogy between procedures based on a Sacerdoti-like representation called planning nets and has an extraordinarily powerful way to explain (or teach) the underlying teleology by showing how to relate it to a sequence of intuitively understood models.
Abstract: : At some time in our lives, we have all been forced to learn the procedural skills which supposedly comprise mathematical literacy (e.g., place value addition) through the process of rote memorization, perhaps, enhanced by the use of models (e.g., the abacus). These models were intended to provide an intuitive basis for a given procedure. This formalizes the concept of an analogy between procedures based on a Sacerdoti-like representation called planning nets. A planning net represents the synthesis of a given procedure from a set of constraints that define the properties of the arithmetic operation being implemented and the representation of the objects (numbers) being manipulated. An analogy between procedures is represented as a maximal partial isomorphism between the planing nets of the two procedures. The planning net representation turns out to provide an elegant framework for defining the teleologic semantics of a procedure as well as for investigating how to construct a natural sequence of models (or microworlds) for a student to use in inventing his own procedure. Since both utilize the same framework, we have an extraordinarily powerful way to explain (or teach) the underlying teleology by showing how to relate it to a sequence of intuitively understood models.

87 citations

Journal ArticleDOI
TL;DR: In this paper, the relation between Kac-Dynkin diagrams and supertableaux is discussed, and the relationship between super-tableaux and super-kac diagrams is discussed.
Abstract: We show the relation between Kac–Dynkin diagrams and supertableaux. We show the relation between Kac–Dynkin diagrams and supertableaux.

87 citations


Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202225
20211,580
20201,876
20191,935
20181,792
20171,391