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In psychology and cognitive science, a schema (plural schemata or schemas), describes an organized pattern of thought or behavior that organizes categories of information and the relationships among them.  It can also be described as a mental structure of preconceived ideas, a framework representing some aspect of the world, or a system of organizing and perceiving new information. Schemata influence attention and the absorption of new knowledge: people are more likely to notice things that fit into their schema, while re-interpreting contradictions to the schema as exceptions or distorting them to fit. Schemata have a tendency to remain unchanged, even in the face of contradictory information. Schemata can help in understanding the world and the rapidly changing environment.  People can organize new perceptions into schemata quickly as most situations do not require complex thought when using schema, since automatic thought is all that is required. 
People use schemata to organize current knowledge and provide a framework for future understanding. Examples of schemata include academic rubrics, social schemas, stereotypes, social roles, scripts, worldviews, and archetypes. In Piaget's theory of development, children adopt a series of schemata to understand the world.
Before psychology separated from philosophy, the term "schema" was prominently discussed in philosophy by Immanuel Kant.
Early developments of the idea in psychology emerged with the gestalt psychologists and Jean Piaget: the term "schema" was introduced by Piaget in 1926. The concept was introduced into psychology and education through the work of the British psychologist Frederic Bartlett, who drew on the term body schema used by neurologist Henry Head. It was expanded into schema theory by educational psychologist R. C. Andersen. Since then, many other terms have been used to describe schema, such as including "frame", "scene", and "script".
Through the use of schemata, a heuristic technique to encode and retrieve memories, the majority of typical situations do not require much strenuous processing. People can quickly organize new perceptions into schemata and act without effort.
However, schemata can influence and hamper the uptake of new information (proactive interference), such as when existing stereotypes, giving rise to limited or biased discourses and expectations (prejudices), may lead an individual to "see" or "remember" something that has not happened because it is more believable in terms of his/her schema. For example, if a well-dressed businessman draws a knife on a vagrant, the schemata of onlookers may (and often do) lead them to "remember" the vagrant pulling the knife. Such distortion of memory has been demonstrated. (See Background research below.)
Schemata are interrelated and multiple conflicting schemata can be applied to the same information. Schemata are generally thought to have a level of activation, which can spread among related schemata. Which schema is selected can depend on factors such as current activation, accessibility, and priming.
Accessibility is how easily a schema comes to mind, and is determined by personal experience and expertise. This can be used as a cognitive shortcut; it allows the most common explanation to be chosen for new information.
With priming, a brief imperceptible stimulus temporarily provides enough activation to a schema so that it is used for subsequent ambiguous information. Although this may suggest the possibility of subliminal messages, the effect of priming is so fleeting that it is difficult to detect outside laboratory conditions. Furthermore, the mere exposure effect —which requires consciousness of the stimuli— is far more effective than priming.
The original concept of schemata is linked with that of reconstructive memory as proposed and demonstrated in a series of experiments by Bartlett. By presenting participants with information that was unfamiliar to their cultural backgrounds and expectations and then monitoring how they recalled these different items of information (stories, etc.), Bartlett was able to establish that individuals' existing schemata and stereotypes influence not only how they interpret "schema-foreign" new information but also how they recall the information over time. One of his most famous investigations involved asking participants to read a Native American folk tale, "The War of the Ghosts", and recall it several times up to a year later. All the participants transformed the details of the story in such a way that it reflected their cultural norms and expectations, i.e. in line with their schemata. The factors that influenced their recall were:
Bartlett's work was crucially important in demonstrating that long-term memories are neither fixed nor immutable but are constantly being adjusted as our schemata evolve with experience. In a sense it supports the existentialist view that we construct our past and present in a constant process of narrative/discursive adjustment, and that much of what we "remember" is actually confabulated (adjusted and rationalized) narrative that allows us to think of our past as a continuous and coherent string of events, even though it is probable that large sections of our memory (both episodic and semantic) are irretrievable to our conscious memory at any given time.
An important step in the development of schema theory was taken by the work of D.E. Rumelhart describing our understanding of narrative and stories. See also J. M. Mandler Further work on the concept of schemata was conducted by Brewer and Treyens (1981) who demonstrated that the schema-driven expectation of the presence of an object was sometimes sufficient to trigger its erroneous recollection. An experiment was conducted where participants were requested to wait in a room identified as an academic's study and were later asked about the room's contents. A number of the participants recalled having seen books in the study whereas none were present. Brewer and Treyens concluded that the participants' expectations that books are present in academics' studies were enough to prevent their accurate recollection of the scenes.
In the 1970s, computer scientist Marvin Minsky was trying to develop machines that would have human-like abilities. When he was trying to create solutions for some of the difficulties he encountered he came across Bartlett’s work and decided that if he was ever going to get machines to act like humans he needed them to use their stored knowledge to carry out processes. To compensate for that he created what was known as the frame construct, which was a way to represent knowledge in machines. His frame construct can be seen as an extension and elaboration of the schema construct. He created the frame knowledge concept as a way to interact with new information. He proposed that fixed and broad information would be represented as the frame, but it would also be composed of slots that would accept a range of values; but if the world didn’t have a value for a slot than it would be filled by a default value. Because of Minsky’s work, computers now have a stronger impact on psychology. In the 80’s, David Rumelhart extend Minsky’s ideas, creating an explicitly psychological theory of the mental representation of complex knowledge.
Roger Schank and Robert Abelson were the ones to come up with the idea of a script, which was known as a generic knowledge of sequences of actions. This led to many new empirical studies, which found that providing relevant schema can help improve comprehension and recall on passages.
New information that falls within an individual's schema is easily remembered and incorporated into their worldview. However, when new information is perceived that does not fit a schema, many things can happen. The most common reaction is to simply ignore or quickly forget the new information. This can happen on a deep level— frequently an individual does not become conscious of or even perceive the new information. People may also interpret the new information in a way that minimizes how much they must change their schemata. For example, Bob thinks that chickens don't lay eggs. He then sees a chicken laying an egg. Instead of changing the part of his schema that says 'chickens don't lay eggs', he is likely to adopt the belief that the animal in question that he has just seen laying an egg is not a real chicken. This is an example of 'disconfirmation bias', the tendency to set higher standards for evidence that contradicts one's expectations. However, when the new information cannot be ignored, existing schemata must be changed or new schemata must be created (accommodation). 
Jean Piaget (1896-1980) was known best for his work with development of human knowledge. He believed knowledge was constructed on cognitive structures and he believed we developed our own cognitive structures through schema by accommodating and assimilating information. Accommodation is creating new schema that will fit better with the new environment or adjusting old schema. You should think of accommodation as change. Accommodation could also be interpreted as putting restrictions on schema you have already had. Accommodation usually comes about when assimilation has failed. Assimilation is when you use current schema to understand the world around you. Piaget thought that schema would be applied to everyday life and therefore you would accommodate and assimilate information naturally. For example, if this chicken has red feathers, Bob can form a new schemata that says 'chickens with red feathers can lay eggs'. This schemata will then be either changed or removed, in the future.
Assimilation is the reuse of schemata to fit the new information. An example would be, when an unfamiliar dog is seen, a person will probably just integrate it into their dog schema. However, if the dog behaves strangely, and in ways that doesn't seem dog-like, there will be accommodation as a new schema is formed for that particular dog. With Accommodation and Assimilation comes the idea of equilibrium. Piaget describes equilibrium as a state of cognition that is balanced. When schema are capable of explaining what it sees and perceives. It moves development along in children and adults, Piaget did not think that development progressed steadily but actually in leaps and bounds. When information is new and cannot fit into existing schema this is called disequilibrium and this is an unpleasant state for the child’s development. When disequilibrium happens is means we are frustrated and we will try to restore the balance in our cognitive development by trying to overcome the new information through accommodation. If the new information is taken then assimilation of the new information will proceed until they find that they must make a new adjustment to it later down the road, but for now the child remains at equilibrium again. The process of Equilibration is when you move from the equilibrium phase to the disequilibrium phase and back into equilibrium.
There are different kinds of schema that someone can experience. The first and most obvious one is self-schema; this schema contains information that we think about ourselves. It can sometimes influence, modify or distort what we remember or how we recall information. The next schema is person schema, which is the idea that we all have schema that includes judgments and traits that everyone possesses. Role schema is when we have ideas based on the jobs that other people have and social positions in the world. Event schema is what we associate with activities and events that other people perform.
There are advantages and disadvantages to having schema affect our lives; some of the advantages about having schema in our cognitive development is that we now contain some information about how other people behave and think too. We now know what is an appropriate way to respond to certain situations because we formed a schema about what the procedure is. We have a reference for behavior in certain situations based on our event schema, also it helps us explain why certain people have behaviors that are social due to our role schema.
With advantages come disadvantages; when we form schema it may restrict and distort the way we view things or remember things about information and at times may make us overlook some things we should have paid attention to. Schema is hard to change because we are attracted to information that supports our schema rather than disproves it and is inconsistent. This may pose a problem for people because it is hard to change someone’s mind about an idea they have already based a large schema about.
Schemata about oneself are considered to be grounded in the present and based on past experiences. Memories, as mentioned, are framed in the light of one's self-conception. For example, people who have positive self-schemata (i.e. most people) selectively attend to flattering information and selectively ignore unflattering information, with the consequence that flattering information is subject to deeper encoding, and therefore superior recall. Even when encoding is equally strong for positive and negative feedback, positive feedback is more likely to be recalled. Moreover, memories may even be distorted to become more favourable-people typically remember exam grades as having been better than they actually were. However, when people have negative self views, memories are generally biased in ways that validate the negative self-schema; People with low self-esteem, for instance, are prone to remember more negative information about themselves than positive information. Thus, memory tends to be biased in a way that validates the agent's pre-existing self-schema.
There are three major implications of self-schemata. First, information about oneself is processed faster and more efficiently, especially consistent information. Second, one retrieves and remembers information that is relevant to one's self-schema. Third, one will tend to resist information in the environment that is contradictory to one's self-schema. For instance, students with a particular self-schema prefer roommates whose view of them is consistent with that schema. Students who end up with roommates whose view of them is inconsistent with their self-schema are more likely to try to find a new roommate, even if this view is positive. This is an example of self-verification.
As researched by Aaron Beck, automatically-activated negative self-schemata are a large contributor to depression. According to Cox, Abramson, Devine, and Hollon (2012), these self-schemata are essentially the same type of cognitive structure as stereotypes studied by prejudice researchers (e.g., they are both well-rehearsed, automatically activated, difficult to change, influential toward behavior, emotions, and judgments, and bias information processing).
Self-Schema can also be self-perpetuating, it sometimes can represent a particular role in society that is based on stereo-type for example "If a mother tells her daughter she looks like a tom boy, her daughter may react by choosing activities that she imagines a tom boy would do. Conversely, if the mother tells her she looks like a princess, her daughter might choose activities thought to be more feminine." This is an example of the self-schema becoming self-perpetuating when the person at hand chooses an activity that was based on an expectation rather than their desires.
Schema therapy was founded by Jeffrey Young, and represents a development of cognitive behaviour therapy (CBT) specifically for treating personality disorders. Early Maladaptive Schema are described by Young as broad and pervasive themes or patterns made up of memories, feelings, sensations, and thoughts regarding oneself and one's relationships with others. They are considered to develop during childhood or adolescence, be elaborated throughout life and to be dysfunctional in that they lead to self-defeating behavior. Examples include schemata of abandonment/instability, mistrust/abuse, emotional deprivation, and defectiveness/shame.
Schema Therapy blends CBT with elements of Gestalt, object relations, constructivist and psychoanalytical therapies in order to treat the characterological difficulties which both constitute personality disorders and which underlie many of the chronic depressive or anxiety-involving symptoms which present in the clinic. CBT, Young felt, may be an effective treatment for presenting symptoms, but without the conceptual or clinical resources for tackling the underlying structures (maladaptive schema) which consistently organize the patient's experience, the patient is likely to lapse back into unhelpful modes of relating to others and attempting to meet their needs. Young focused on pulling from different therapies equally when developing schema therapy. The difference between cognitive-behavioral therapy and schema therapy is that it "emphasizes lifelong patterns, affective change techniques, and the therapeutic relationship, with special emphasis on limited reparenting.". He recommended this therapy would be ideal for clients with difficult and chronic psychological disorders. Some examples would be eating disorders, personality disorders and criminal offenders. He has also had success with this therapy in relation to depression and substance abuse.
The results from this study of schema therapy was shown to have a low dropout rate paired with effectiveness with a high percentage of outpatients with personality disorder. If clients have had a hard time with psychodynamic treatments they have found much success in schema therapy.