Constructivist pedagogical model This pedagogical model, unlike the traditional one, considers that learning can never come from an external source to the student. Is there a way to achieve our goal? Consider now the notion of undecidability applied to the dynamics of a class of discrete-time systems C: a property of Cs dynamics (e.g., does the state of every system in c ever become positive?, does the state reach equilibrium?) is undecidable if its yes/no answer. Although it has been demonstrated on numerous occasions the scant effectiveness of this teaching model, it is still used predominantly in almost all modern societies. Continuous and unbounded state space and time (say, r continuous and bounded state space and time (say, the real interval 0,1 dense state space and time (say, q continuous time (say, r) and discrete state space (say, z discrete time (say, z) and continuous state. On the contrary, each apprentice has to"build"his own knowledge (hence the name of the model). "Behavioral pedagogical model"in: Pedagogy and didactics. Otherwise, the student will be unable to acquire the necessary knowledge to conclude that learning has been a success. Revisiting traditional models 74 revisiting traditional models Formally: A continuous-time probabilistic finite-state automaton extends a (discrete-time) probabilistic finite-state automaton with a rate function ρ: q. The teacher, therefore, should be responsible for raising challenges and issues to students, who must solve them by collaborating with each other while improve their social skills. Revisiting traditional models 63 Randomized models of computation: Probabilistic finite-state automata (Markov chains) Probabilistic Turing machines and complexity classes revisiting traditional models 64 Probabilistic finite-state automata discrete time markov chains Markov decision processes Continuous-time markov chains revisiting traditional models 65 Discrete time markov chains. However, although it is not a valid model for most learning situations, it does have a place at certain times. So in a traditional model, most of the teacher's time is spent doing lectures and grading and whatnot. E., tm(n) max (n, cTM(n). Pedagogical models ( traditional and current) life persona
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Some of the most important are the cognitive, the social and the romantic. Revisiting traditional models 49 Then, complexity analysis proceeds as usual: One elementary operation one time unit Apparently striking differences. Revisiting traditional models 75 revisiting traditional models A lamp with a lightbulb can be in one of three states: on, off, and broken. Conjecture: (almost) all of them The fundamental notion of (NP)-completeness: For a problem p, P(x) denotes the solution of p for input x; M(x) denotes the (unique) output of the deterministic Turing machine m with input. The role of the teacher in this model, therefore, consists of the following: Study the previous abilities of the apprentices. can you think of real systems where such irregular behaviors can arise? Jz lab if acc 0 then else pc pc 1 end Conditional jump: jump to lab if the accumulator stores 0, otherwise continue sequentially. Revisiting traditional models 73 Continuous-time markov chains Now: Time is continuous Behavior is asynchronous since there is a probability tratament distribution to the residence (also, sojourn) time in every state main constraint: the probability of remaining in the current state for the next t time units. Command and Control Management, model, old
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Based on this idea, the behavioral pedagogical model tries to set a series of learning objectives that can be directly observable and measurable. A rolling census represents a further alternative approach to the traditional model of census taking by means alimentar of a cumulative continuous survey, covering the whole country over a period of time, rather than on a particular day. All above examples of problems in np and many more- are also np-complete revisiting traditional models 61 revisiting traditional models Traditionally and reasonably the P/NP frontier has been considered ceai as the borderline between tractable and intractable problems However modern tools are able to manage.
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The child has an active role in learning. Every cell contains a character or an integer revisiting traditional models 47 The ram instruction repertoir (1) Semantics Comments read x Mx current input value; Input head advances by one position. Revisiting traditional models 72 revisiting traditional models (Simple) exercise: Consider the following generalization of previous example: While preparing for an exam, the student may attend classes on the exams topic (event a) or skip them (event s). Ram is a little too abstract to properly capture the notion of elementary datum and operation so that they can be associated with the (memory and) time unit: a ram cell stores an integer, but a real computer cell has k (32, 64,128, ) bits. Revisiting traditional models 71 revisiting traditional models (Summarizing) Remark: Time is discrete, synchronous, and metric in finite-state automata regardless of whether in their deterministic, nondeterministic, or probabilistic version. The logistic map above (x(t 1) r x(t) (1 x(t) is an example of discrete-time system with chaotic behavior. Once the basic skills that the student must sarcina learn are determined, the most effective way to acquire them will be sought based on the theory of multiple intelligences. Um Input y. Revisiting traditional models 27 fsms with output: moore and mealy machines a mealy machine modeling an latch with output ε (empty string) no output mealy: : q i o moore: : q o revisiting traditional models 28 From asynchronous to synchronous logic circuits: the clock. The theorem is general and does not really depend on the chosen model: it deals with the issue of spending more resources to solve problems.