Principle: Sequence Sequence may be the most frequently addressed principle of learning among the theories reviewed. Aristotle explained the association of connected ideas as starting with the central most idea, or “middle member” of the series (Ross & Aristotle, 1906, p. 113) and that once the central most idea is established, all other subsequent ideas may be grouped around it. Theory Group Behaviorism Local Principles Aristotle: The linking of ideas similar, contrary, or contiguous Central concept is key to accessing related ideas Thorndike: Associative shifting Assimilation Partial activity or prepotency of elements Influence of prior experience Associative polarity Response availability Order of bond formation and effect of the formation of one bond upon the condition of other bonds Pavlov: Prior experience sets the stage for association Higher-order conditioning Watson: Individual acquisitions as building blocks of behavior The integration of separate movements to form new unitary activities Positive effects of prior learning on new learning Positive effects depend on similarity between the old habit and the new habit to be learned Movements displayed in a novel situation will be those gained from a past habit Organization Skinner: One trial learning Establishing a discriminative response to the sound of the food magazine prior to introducing the lever response The law of chaining Shaping Hull: New learning occurs only when existing responses do not reduce need The fractional anticipatory goal reaction Convergent habit-family hierarchy mediate transfer of reaction from one situation to a second which may be totally different Guthrie: Recency principle New situation response based on familiar parts of the situation Learning a skill requires learning many associations Forgetting requires active unlearning 1 Theory Group Local Principles Estes: In each trial, the probability of a certain response is modeled as the relative portion of active stimulus elements in the stimulus condition that are already conditioned to that response Response subclass hierarchy Cognitive Ebbinghaus: Savings in number of repetitions when learning a derivative list created by skipping members Increased number of repetitions required when learning a list created by permutation of previous list Slight savings when learning a known list in reverse: Tolman: Previous knowledge acquired through latent learning applied when needed to accomplish a goal-oriented task Kohler: Preference to using existing knowledge and skills Generalized use of the box Cognitive Information Processing: Interference and serial-position curve Retroactive interference Proactive interference Automaticity Stages of L1 language acquisition: a building sequence of development Pattern recognition: recognizing environmental stimuli as exemplars of concepts already in memory Ausubel: The most important single factor influencing learning is what the learner already knows Availability in learner's cognitive structure of specifically relevant anchoring ideas Extent to which anchoring ideas are discriminable from both similar and different concepts in the learning material Stability and clarity of anchoring ideas Acquisition of new information is highly dependent on the relevant ideas already in cognitive structure Progressive differentiation Importance of prior consolidation of more particular habit exemplars Stability of anchoring ideas Sequential organization of subject matter Advance organizers After junior high school age, we require less empirical and nonverbal contact with data on which verbal constructs are based With increasing age concepts are learned through assimilation more than formation Concept acquisition sequencing Representation learning: representing known concepts with culturally designated signs or symbols Forms of meaningful learning: subordinate, superordinate, combinatorial, and assimilation Acquiring information results in a modification of both the newly acquired information and the specifically relevant aspect of cognitive structure to which the new information is linked Adequately established subsumers Rote learning Positive transfer attributable to carry over of general elements of strategy, orientation, and adaptation Prior learnings are not transferable until overlearned 2 Theory Group Local Principles Gradual acquisition of a coding principle to facilitate solution of a given class of problems Prior learning helps to circumvent limitations of memory and process of storing Information Constructivism Schema Theory: The schemata a person already possesses are a principal determiner of what will be learned from a text More significant than the structure that is in some sense contained in a text is the structure the reader imposes on the text Acquisition of schema: accretion, tuning, and restructuring General: Endogenous constructivism: the construction of new knowledge from old Synthesizing new experiences into what we have previously come to understand Structuring curriculum around primary concepts A repertoire of previously learned thinking and reasoning strategies enables achievement of complex goals Generalization and transfer Piaget: During first 18 months cognitive substructures are developed that will be foundation of intelligence for all later learning Through sensori-motor activity the broad categories of action are constructed (object, space, time, causality) Sensori-motor knowledge is reconstructed at the perceptual level Assimilation: reality data are treated or modified in such a way as to become incorporated into the structure of the subject Accommodation: adjusting to the environment The semiotic function appears at end of sensori-motor period Search for causality of previously experienced phenomena Consistent succession of stages Intellectual development is connected to, and builds on, organic biological growth Consistent succession of stages Intellectual development is connected to, and builds on, organic biological growth Bruner: Spiral curriculum Cumulative constructionism, or the use of previously acquired information in guiding further discovery Integration of smaller units into larger units Language makes possible the representation and transformation of regularities of experience with greater flexibility and power Importance of learning structure of a subject Specific and non-specific transfer Continual deepening through progressively more complex forms Humanistic Biological Motivation: First learning has advantage over later learning due to less interference from contradictory habits Self-Efficacy: Self-efficacy built on previous success Social Vygotsky: Language and the use of tools provide the rudiments of solving practice tasks 3 Theory Group Local Principles Transfer through similar elements Zone of Proximal Development – what makes one child able to do more with assistance than another is that which he has obtained through prior experience which can now be brought to bear in solving a problem with assistance Progressive utility of language Learning creates the ZPD Example of arithmetic operations providing basis for highly complex thinking Internal development a pre-requisite to master cultural methods Rich psychological experience Bandura: Availability of component skills pre-requisite to complex performance Attention, retention, motor, and motivational subfunctions pre-requisite Situated learning: Learning progresses from learning simple to more complex tasks Activity theory: Implied: new models proposed in the third step of the cycle of expansive learning are generated based on previous experience Cognitive apprenticeship: Sequence without sacrificing significance Global before local provides conceptual model of target skill or process Increasing complexity 4