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Mapping for Learning: Mapping. “ A given set of data only acquires significance when we map it onto a pattern of some kind.” (March and Steadman, p.29). Brain Waves. In 1930s, Berger, a German psychiatrist discovered electrical brain waves
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Mapping for Learning: Mapping “ A given set of data only acquires significance when we map it onto a pattern of some kind.” (March and Steadman, p.29) Mara Alagic: Mapping for Learning
Brain Waves • In 1930s, Berger, a German psychiatrist discovered electrical brain waves • Any stimulus produces electrical responses in the brain called evoked potentials (recorded; averaged to remove noise) • When the stimulus is cognitive or intellectual task, the recording is a cognitive evoked potential Mara Alagic: Mapping for Learning
Analyzing Brain Activity • Brain mapping using X-rays makes it possible to see brain structure (CT scan) • Brain mapping using radioactive chemicals (PET scan)made it possible to study brain function over time (in intervals of thousandths of a second) • Millions of pieces of information can be stored on computers to be analyzed Mara Alagic: Mapping for Learning
Cognitive Process of Mapping (1) • “ A given set of data only acquires significance when we map it onto a pattern of some kind.” (March and Steadman, p.29) • Cognitive (process of) mapping = those abilities which enable us to collect, organize, store and recall, and operate on information about our environment Mara Alagic: Mapping for Learning
Cognitive Process of Mapping (2) • Mental map is a product of the cognitive process of mapping - cross sections of the world at one instant in time • Key concepts employed in studying cognitive mapping: representation and environment Mara Alagic: Mapping for Learning
Why is cognitive mapping important? (1) • Draw and describe in one sentence THIS picture. Mara Alagic: Mapping for Learning
Why is cognitive mapping important? (2) • Are cognitive maps accurate? • Is there a 1-1 correspondence between ones representations and the actual spatial environment? • Are mental maps similar? Given two individuals, how similar might their maps be of the same environment? • Is learning going to induce dissimilarities? Mara Alagic: Mapping for Learning
How Useful Are Mental Maps in Everyday Life? • Examples? • ... • An understanding of how individuals cognitively map an environment can be used to provide a “common” map which can convey the maximum information to the greatest number of individuals Mara Alagic: Mapping for Learning
Research on the Cognitive Process of Mapping • Think about this moment in which I am trying to convey some (new?) concepts to you • What guides this mapping process? • … Mara Alagic: Mapping for Learning
Mapping: Problem Solving Sanford’s (1985) • A mapping between a problem-statement and relevant schemata in LTM • Problem solving begins with the manipulation of this mapping in WM • If an information-state developed in WM matches a structure in LTM, a new structure is stored in LTM (WM LTM) Mara Alagic: Mapping for Learning
Problem Solving & Abduction Sanford’s (1985) • A problem schemata in LTM • Manipulation of this mapping in WM • WM LTM: a new structure stored in LTM • Abduction: The new knowledge-state which a solved problem represents can often be achieved by introducing information from sources external to the problem-statement Mara Alagic: Mapping for Learning
Mathematical Mapping • f: XY For every xX there exists exactly one yY such that y=f(x) • Is geographical mapping a species of mathematical mapping? • Cartography is seen as a type of mathematical modeling involving abstraction • Domain? Mara Alagic: Mapping for Learning
Cognitive Mapping: Formal Definition Downs and Stea (1973) formally define cognitive mapping as: … a process composed of a series of psychological transformations by which an individual acquires, codes, stores, recalls, and decodes information about the relative locations and attributes of phenomena in their everyday spatial environment Mara Alagic: Mapping for Learning
About Cognitive Maps(Neisse, U.,1976) • An individual’s cognitive map is an active information seeking structure of which spatial imagery is but one aspect • Cognitive maps are created as the result of active and passive modes of information processing Mara Alagic: Mapping for Learning
Cognitive Mapping: Information Processing • Generally, active information processing gives the greatest meaning to the information processed and produces more information for the perceiver • The information produced by locomotion is fundamental to an individual’s spatial orientation Mara Alagic: Mapping for Learning
Cognitive maps: Content and Form • Cognitive maps are also made up of memories of objects and kinesthetic, visual and auditory cues (Griffin, D. R. 1973) • Aside from the way cognitive maps are formed, the types of information stored in a cognitive map are also of interest Mara Alagic: Mapping for Learning
What are cognitive maps made up of? Kuipers (1983) suggests that a cognitive map consists of five different types of information, each with its own representation: • topological • metric • route descriptions • fixed features and • sensory images Mara Alagic: Mapping for Learning
Cognition: Independent Variables • An individual’s cognition of the environment is not only a function of the behavior by which information is obtained but also depends on the characteristics of the environment • The amount of information gained by each sensory modality is also environmentally dependent Mara Alagic: Mapping for Learning
Personal Nature of Cognitive Maps • How the observer interprets and organizes a common exterior form is unique (Lynch) • This interpretation governs how the observer directs his attention and this in turn affects what is seen/learned. So at both a societal level and a cultural level cognitive maps are highly individualistic Mara Alagic: Mapping for Learning
References (1) • Downs, R. M. & Stea, D. (1973). Cognitive Maps and Spatial Behavior. Process and Products. In Image and Environment, (Downs, R. M. & Stea, D. Eds.), Aldine Publishing Co., Chicago, pp 8-26 • Griffin, D. R. (1973) Topographical orientation. In Image and Environment, (Downs, R. M. & Stea, D. Eds.), Aldine Publishing Co., Chicago. pp 296-299. • Neisse, U. (1976).Cognition and reality, WH Freemn, San Francisco. Mara Alagic: Mapping for Learning
References (2) • Kuipers, B. (1983) The cognitive map: Could it be any other way. In Spatial Orientation: Theory, research and application, (Pick, H. L. & Acredolo, L. P. Eds.) Plenium Press, New York. pp 345-360. • Billinghurst, M. & Weghorst, S. The use of sketch maps to measure cognitive maps of virtual environment (www.hitl.washington.edu/publications/p-94-1/paper.html) Mara Alagic: Mapping for Learning