Theory of cognitive development

The Theory of Cognitive Development (one of the most historically influential theories) was developed by Jean Piaget, a Swiss Philosopher (1896–1980). His genetic epistemological theory provided many central concepts in the field of developmental psychology and concerned the growth of intelligence, which for Piaget, meant the ability to more accurately represent the world and perform logical operations on representations of concepts grounded in interactions with the world. The theory concerns the emergence and construction of schemata — schemes of how one perceives the world — in "developmental stages", times when children are acquiring new ways of mentally representing information. The theory is considered "constructivist", meaning that, unlike nativist theories (which describe cognitive development as the unfolding of innate knowledge and abilities) or empiricist theories (which describe cognitive development as the gradual acquisition of knowledge through experience), it asserts that we construct our cognitive abilities through self-motivated action in the world. For his development of the theory, Piaget was awarded the Erasmus Prize. [http://www.erasmusprijs.org/eng/index.htm] Piaget divided schemes that children use to understand the world through four main periods, roughly correlated with and becoming increasingly sophisticated with age:
*Sensorimotor period (years 0–2)
*Preoperational period (years 2–7)
*Concrete operational period (years 7–11)
*Formal operational period (years 11 and up)

Piaget's four stages

ensorimotor period

Infants are born with a set of congenital reflexes that allow them to float in the heavily dense world, according to Piaget, in addition to a drive to explore their world. Their initial schemes are formed through differentiation of the congenital reflexes. The "sensorimotor period" is the first of the four periods. According to Piaget, this stage marks the development of essential spatial abilities and understanding of the world in six sub-stages:
#The first sub-stage, known as "the reflex scheme" stage, occurs from birth to one month and is associated primarily with the development of reflexes.
#The second sub-stage, "primary circular reaction phase", occurs from one month to four months and is associated primarily with the development of habits.
#The third sub-stage, the "secondary circular reactions phase", occurs from four to eight months and is associated primarily with the development of coordination between vision and prehension (aka, "hand-eye coordination").
#The fourth sub-stage; called "the co-ordination of secondary course round modest circular reactions stage", which occurs from eight to twelve months, is when Piaget (1954) thought that object permanence developed.
#The fifth sub-stage; "the tertiary circular reactions phase", occurs from twelve to eighteen months. New means through active experimentation and creativity in the actions of the "little scientist".
#The sixth sub-stage, considered "beginnings of symbolic representation", from eighteen months to twenty four months. New means through mental combinations considering before doing provides the child with new ways of achieving a goal without resorting to trial-and-error experiments.

Preoperational stage

The Preoperational stage is the second of four stages of cognitive development. By observing sequences of play, Piaget was able to demonstrate that towards the end of the second year a qualitatively new kind of psychological functioning occurs.

(Pre)Operatory Thought in Piagetian theory is any procedure for mentally acting on objects. The hallmark of the preoperational stage is sparse and logically inadequate mental operations. During this stage the child learns to use and to represent objects by images and words, in other words they learn to use symbolic thinking. Thinking is still egocentric: The child has difficulty taking the viewpoint of others.

The child can classify objects by a single feature: e.g. groups together all the red blocks regardless of shape or all the square blocks regardless of color. According to Piaget, the Pre-Operational stage of development follows the Sensorimotor stage and occurs between 2–7 years of age. In this stage, children develop their language skills. They begin representing things with words and images. However, they still use intuitive rather than logical reasoning. At the beginning of this stage, they tend to be egocentric, that is, they are not aware that other people do not think, know and perceive the same as them. Children have highly imaginative minds at this time and actually assign emotions to inanimate objects. The theory of mind is also critical to this stage.

The Preoperational Stage can be further broken down into the Preconceptual Stage and the Intuitive Stage...The Preconceptual stage (2-4 years) is marked by egocentric thinking and animistic thought. A child who displays animistic thought tends to assign living attributes to inanimate objects, for example that a glass would feel pain if it were broken.

The Intuitive(4-7 years) stage is when children start employing mental activities to solve problems and obtain goals but they are unaware of how they came to their conclusions. For example a child is shown 7 dogs and 3 cats and asked if there are more dogs than cats. The child would respond positively. However when asked if there are more dogs than animals the child would once again respond positively. Such fundamental errors in logic show the transition between intuitiveness in solving problems and true logical reasoning acquired in later years when the child grows up.

Piaget considered that children primarily learn through imitation and play throughout these first two stages, as they build up symbolic images through internalized activity. [Herbert Ginsburg and Sylvia Opper, "Piaget's Theory of Intellectual Development", ISBN 0-13-675140-7, Chapter 3] [Jean Piaget, "Play, Dreams and Imitation", 1955]

Concrete operational stage

The Concrete operational stage is the third of four stages of cognitive development in Piaget's theory. This stage, which follows the Preoperational stage, occurs between the ages of 7 and 11 years and is characterized by the appropriate use of logic. Important processes during this stage are:

Seriation—the ability to sort objects in an order according to size, shape, or any other characteristic. For example, if given different-shaded objects they may make a color gradient.

Classification—the ability to name and identify sets of objects according to appearance, size or other characteristic, including the idea that one set of objects can include another.

Decentering—where the child takes into account multiple aspects of a problem to solve it. For example, the child will no longer perceive an exceptionally wide but short cup to contain less than a normally-wide, taller cup.

Reversibility—where the child understands that numbers or objects can be changed, then returned to their original state. For this reason, a child will be able to rapidly determine that if 4+4 equals 8, 8−4 will equal 4, the original quantity.

Conservation—understanding that quantity, length or number of items is unrelated to the arrangement or appearance of the object or items.

Elimination of Egocentrism—the ability to view things from another's perspective (even if they think incorrectly). For instance, show a child a comic in which Jane puts a doll under a box, leaves the room, and then Melissa moves the doll to a drawer, and Jane comes back. A child in the concrete operations stage will say that Jane will still think it's under the box even though the child knows it is in the drawer. (See also False-belief task).

Children in this stage can, however, only solve problems that apply to actual (concrete) objects or events, and not abstract concepts or hypothetical tasks.

Formal operational stage

The formal operational period is the fourth and final of the periods of cognitive development in Piaget's theory. This stage, which follows the Concrete Operational stage, commences at around 12 years of age (puberty) and continues into adulthood. It is characterized by acquisition of the ability to think abstractly, reason logically and draw conclusions from the information available. During this stage the young adult is able to understand such things as love, "shades of gray", logical proofs, and values. Lucidly, biological factors may be traced to this stage as it occurs during puberty (the time at which another period of neural pruning occurs), marking the entry to adulthood in Physiology, cognition, moral judgement (Kohlberg), Psychosexual development (Freud), and psychosocial development (Erikson).

General information regarding the stages

These four stages have been found to have the following characteristics:

*They apply to thought rather than children
*Although the timing may vary, the sequence of the stages does not.
*Universal (not culturally specific)
*Generalizable: the representational and logical operations available to the child should extend to all kinds of concepts and content knowledge
*Stages are logically organized wholes
*Hierarchical nature of stage sequences (each successive stage incorporates elements of previous stages, but is more differentiated and integrated)
*Stages represent qualitative differences in modes of thinking, not merely quantitative differences
*Gain ability to understand abstract concepts such as algebra.

Challenges to Piagetian stage theory

Piagetians accounts of development have been challenged on several grounds. First, as Piaget himself noted, development does not always progress in the smooth manner his theory seems to predict. 'Decalage', or unpredicted gaps in the developmental progression, suggest that the stage model is at best a useful approximation. More broadly, Piaget's theory is 'domain general', predicting that cognitive maturation occurs concurrently across different domains of knowledge (such as mathematics, logic, understanding of physics, of language, etc). However, more recent cognitive developmentalists have been much influenced by trends in cognitive science away from domain generality and towards domain specificity or modularity of mind, under which different cognitive faculties may be largely independent of one another and thus develop according to quite different time-tables. In this vein, many current cognitive developmentalists argue that rather than being domain general learners, children come equipped with domain specific theories, sometimes referred to as 'core knowledge', which allows them to break into learning within that domain. For example, even young infants appear to understand some basic principles of physics (e.g. that one object cannot pass through another) and human intention (e.g. that a hand repeatedly reaching for an object has that object, not just a particular path of motion, as its goal). These basic assumptions may be the building block out of which more elaborate knowledge is constructed. Additionally, some psychologists, such as Vygotsky, thought differently from Piaget, suggesting that language was more important than Piaget implied.

Post Piagetian and Neo-Piagetian stages

There are four major changes to the number of stages and their definitions. First and foremost, the "half stages" are now shown to be stages. Pascual-Leone (1987? ^{Please confirm})discovered this. Almost all Post Piagetians accept this.^{(E.g. ... ?)}

Second, "postformal stages" have been shown to exist. Kurt Fischer suggested two, Michael Commons presents evidence for four postformal stages: the systematic, metasystematic, paradigmatic and cross paradigmatic. (Commons & Richards, 2003; Oliver, 2004).

Thirdly, Fischer has considered a stage suggested by Biggs and Biggs. It is a stage before the early preoperational. Commons and Richards call this stage the "sentential" because organisms can sequence representations of concepts.

Fourthly Traill (1978, Section C5.4; 1999, Section 8.4) suggests that there may be "pre-sensorimotor" stages ("M⁻¹L", "M⁻²L", … … ) — evolved either prenatally in-the-womb "and/or" transmitted genetically, having been developed by the species and hence describable as "instincts". This is in the context of a search for a micro-physiological basis for human mental capacity^↑. Here then, we are trying to complete the picture of the "extreme-lower" levels of the hierarchy, whereas the other three cases above are more concerned with application to the "higher" levels dealing with education and related macro effects.

^↑ For various reasons it had been concluded that those "most-basic" micro-elements for "logic-related thinking" must have essentially a 1D stringlike structure (probably ncRNA). If so, then even the known sensorimotor Piagetian-schemes seem to be too complex, too evolved. Hence the need to seek lower levels which could be seen as the building-blocks. (Traill 1976, 2005).

Piagetian and post-Piagetian stage theories/heuristics

* Michael Barnes' stages of religious and scientific thinking
* Michael Lamport Commons' Model of Hierarchical Complexity
*Kieran Egan's stages of understanding
* Suzy Gablik's stages of art history
* Christopher Hallpike's stages of moral understanding
*Lawrence Kohlberg's stages of moral development
* Don Lepan's theory of the origins of modern thought and drama
* Charles Raddings theory of the medieval intellectual development
* R.J. Robinson's stages of history and theory of the origins of intelligence
* Ashby, W.Ross (1952 / 1960) "Design for a Brain". London: Chapman & Hall — gives a theoretical brain model which implies stages of development comparable to Piaget's; see Traill (1978).
* Stafford Beer, a cybernetician and business-consultant, attempted to apply Ashby's principles to Companies and Government organizations. ("e.g." Beer, 1972).
*Biggs, J. & K.Collis (1982). "A system of evaluating learning outcomes: The SOLO Taxonomy". New York: Academic Press.
*Chapman, M. (1988). "Constructive Evolution: Origins and Development of Piaget’s Thought". New York: Cambridge University Press.
*Cole, M, et al. (2005). "The Development of Children". New York: Worth Publishers.
*Commons, M.L. & F.A. Richards (1984). "A general model of stage theory" — "and" — "Applying the general stage model". In M.L.Commons, F.A.Richards, & C.Armon (Eds.). "Beyond formal operations": Vol.1: "Late adolescent and adult cognitivedevelopment" (pp. 120-140, 141-157). New York: Praeger.
*Commons, M.L. & F.A. Richards (2002). "Organizing components into combinations: How stage transition works". "Journal of Adult Development", 9(3), 159-177.
*Commons, M.L. & F.A. Richards (2003). "Four postformal stages". In J. Demick & C. Andreoletti (Eds.), "Handbook of adult development" (pp. 199-219). New York: Kluwer Academic/Plenum.
*Fischer, K.W. (1980). "A theory of cognitive development: The control and construction of hierarchical skills". "Psychological Review", 87(2), 477-531.
*Oliver, C.R. (2004). "Impact of catastrophe on pivotal national leaders' vision statements: Correspondences and discrepancies in moral reasoning, explanatory style, and rumination". Dissertation: Fielding Graduate Institute. http://dareassociation.org/Carl.Oliver_Dissertation_2004.pdf
*Marcus, G. F. (2001). The Algebraic Mind: Integrating Connectionism and Cognitive Science. Cambridge, MA: MIT Press.
*Pascual-Leone, J. (1970). "A mathematical model for the transition rule in Piaget's developmental stages", "Acta Psychologica", 32(4), 301-345.
*Pascual-Leone, J. (1987). "Organismic processes for neo-Piagetian theories: A dialectical causal account of cognitive development". In: A.Demetriou (Ed.) "The neo-Piagetian theories of cognitive development: Towards an integration". Amsterdam: North-Holland; pp.531-569.
*Piaget, J. (1937 / 1954). "La construction du réel chez l'enfant" / "The construction of reality in the child". New York: Basic Books.
*Piaget, J. (1967). "Biology and Knowledge".
*Piaget, J. (1977). "The Essential Piaget". ed by Howard E. Gruber and J. Jacques Vonèche, New York: Basic Books. [An anthology of Piaget's works, with editorial comment] .
*Piaget, J. (1983). "Piaget's theory". In P. Mussen (ed). "Handbook of Child Psychology". 4th edition. Vol. 1. New York: Wiley.
*Piaget, J. (1995). "Sociological Studies". London: Routledge.
*Piaget, J. (2000). "Commentary on Vygotsky". "New Ideas in Psychology", 18, 241–259.
*Piaget, J. (2001). "Studies in Reflecting Abstraction". Hove, UK: Psychology Press.
* Seifer, Calvin "Educational Psychology"
*Traill, R.R. (1976 / 2007) "Short papers and letters on the 'linear micro-element' theory of mental mechanism, and related questions of scientific method". Monograph 18, Cybernetics Department, Brunel University. [http://www.ondwelle.com/OSM06.pdf]
*Traill, R.R. (1978) "Molecular Explanation for Intelligence, including its growth, maintenance, and failings". Thesis, Brunel University, Uxbridge, Middx. http://hdl.handle.net/2438/729 [or separate chapters via http://www.ondwelle.com ]
*Traill, R.R. (1999) "Mind and Micro-Mechanism: a Hunt for the Missing Theory". Melbourne: Ondwelle. ISBN 0-9577737-0-6
*Traill, R.R. (2005 / 2008) "Thinking by Molecule, Synapse, or both? — From Piaget's Schema, to the Selecting/Editing of ncRNA". Melbourne: Ondwelle. http://www.ondwelle.com/OSM02.pdf