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Computational Thinking

  • Most sciences in the modern era—say, after the Second World War—are so technical, indeed esoteric, that their deeper comprehension remains largely limited to the specialists, the community of those sciences’ practitioners. Think, for example, of the modern physics of fundamental particles. At best, when relevant, their implications are revealed to the larger public by way of technological consequences.
  • Yet there are some sciences that touch the imagination of those outside the specialists by way of the compelling nature of their central ideas. The theory of evolution is one such instance from the realm of the natural sciences. Its tentacles of influence have extended into the reaches of sociology, psychology, economics, and even computer science, fields of thought having nothing to do with genes or natural selection.
  • Among the sciences of the artificial, computer science manifests a similar characteristic. I am not referring to the ubiquitous and ‘in your face’ technological tools which have colonized the social world. I am referring, rather, to the emergence of a certain mentality.
  • This mentality, or at least its promise, was articulated passionately and eloquently by one of the pioneers of artificial intelligence, Seymour Papert, in his book Mindstorms (1980).
  • Papert’s vision, rather, was the inculcation of a mentality that would guide, shape, and influence the ways in which a person would think about, perceive, and respond to, aspects of the world— one’s inner world and the world outside—which prima facie have no apparent connection to computing—perhaps by way of analogy, metaphor, and imagination.
  • Over a quarter of a century after Papert’s manifesto, computer scientist Jeanette Wing gave this mentality a name: computational thinking.
  • But Wing’s vision is perhaps more prosaic than was Papert’s. Computational thinking, she wrote in 2008, entails approaches to such activities as problem solving, designing, and making sense of intelligent behaviour that draws on fundamental concepts of computing. Yet computational thinking cannot be an island of its own. In the realm of problem solving it would be akin to mathematical thinking; in the domain of design it would share features with the engineering mentality; and in understanding intelligent systems (including, of course, the mind) it might find common ground with scientific thinking.
  • Like Papert, Wing disassociated the mentality of computational thinking from the physical computer itself: one can think computationally without the presence of a computer.

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Computational Artefacts

  • The modern computer is a hierarchically organized system of computational artefacts.
  • Hierarchical organization is a means of managing the complexity of an entity.
  • Computational artefacts are made things; they process symbol structures signifying information,...

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48 reads

Algorithmic Thinking

  • Algorithms are abstract artefacts.
  • They are procedural knowledge.
  • In order for a procedure to qualify as an algorithm as computer scientists understand this concept, it must possess the following attributes (as first enunciated by Donald Knuth):
  • Finitenes...

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The Discipline of Computer Architecture

  • The physical computer is the fundamental material computational artefact of interest to computer scientists.
  • The view of the physical computer as an abstract, symbol processing computational artefact constitutes the computer’s architecture.
  • A given architect...

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52 reads

The Art, Science, and Engineering of Programming

  • Programs are liminal artefacts.
  • Programming languages, in contrast to natural ones, are invented or designed. They are, thus, artefacts. They entail the use of notation as symbols. As we will see, a programming language is actually a set of symbol structures and, being independent of...

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60 reads

Heuristic Computing

  • Many problems are not conducive to algorithmic solutions.
  • Even if one understands the problem well enough, and possesses knowledge about the problem domain, and can construct an algorithm to solve the problem, the amount of computational resources (time or space) needed to execute th...

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34 reads

The Stuff of Computing

  • In its most fundamental essence, the stuff of computing is symbol structures (systems of symbols, that is, entities that ‘stand for’, represent, or denote other entities like data, information or knowledge).
  • Computing is symbol processing
  • Any automaton cap...

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247 reads

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Computational Artefacts

  • The modern computer is a hierarchically organized system of computational artefacts.
  • Hierarchical organization is a means of managing the complexity of an entity.
  • Computational artefacts are made things; they process symbol structures signifying information,...

Heuristic Computing

  • Many problems are not conducive to algorithmic solutions.
  • Even if one understands the problem well enough, and possesses knowledge about the problem domain, and can construct an algorithm to solve the problem, the amount of computational resources (time or space) needed to execute th...

The Stuff of Computing

  • In its most fundamental essence, the stuff of computing is symbol structures (systems of symbols, that is, entities that ‘stand for’, represent, or denote other entities like data, information or knowledge).
  • Computing is symbol processing
  • Any automaton cap...

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