Procedural knowledge (also known as knowing-how, and sometimes referred to as practical knowledge, imperative knowledge, or performative knowledge)[1] is the knowledge exercised in the performance of some task. Unlike descriptive knowledge (also known as "declarative knowledge" or "propositional knowledge" or "knowing-that"), which involves knowledge of specific facts or propositions (e.g. "I know that snow is white"), procedural knowledge involves one's ability to do something (e.g. "I know how to change a flat tire"). A person doesn't need to be able to verbally articulate their procedural knowledge in order for it to count as knowledge, since procedural knowledge requires only knowing how to correctly perform an action or exercise a skill.[2][3]

The term "procedural knowledge" has narrower but related technical uses in both cognitive psychology and intellectual property law.

Overview

Procedural knowledge (i.e., knowledge-how) is different from descriptive knowledge (i.e., knowledge-that) in that it can be directly applied to a task.[2][4] For instance, the procedural knowledge one uses to solve problems differs from the declarative knowledge one possesses about problem solving because this knowledge is formed by doing.[5]

The distinction between knowing-how and knowing-that was brought to prominence in epistemology by Gilbert Ryle who used it in his book The Concept of Mind.[3]

Definition

Procedural knowledge is the “know how” attributed to technology defined by cognitive psychologists, which is simply ‘know how to do it’ knowledge. Part of the complexity of it comes in trying to link it to terms such as ‘process’, ‘problem solving’, ‘strategic thinking’ and the like, which in turn requires distinguishing different levels of procedure.[6] It is the ability to execute action sequences to solve problems. This type of knowledge is tied to specific problem types and therefore is not widely generalizable.[7] Procedural knowledge is goal-oriented and mediates problem-solving behavior.[8]

The term “procedural knowledge” is also widely used in mathematics educational researches. The well-influential definition of procedural knowledge in this domain comes from the introductory chapter by Hiebert and Lefevre (1986) of the seminal book “Conceptual and procedural knowledge: The case of mathematics”, they divided procedural knowledge into two categories. The first one is a familiarity with the individual symbols of the system and with the syntactic conventions for acceptable configurations of symbols. The second one consists of rules or procedures of solving mathematical problems. In order words, they define procedural knowledge as knowledge of the syntax, steps conventions and rules for manipulating symbols.[9] Many of the procedures that students possess probably are chains of prescriptions for manipulating symbols. In their definition, procedural knowledge includes algorithms, which means if one executes the procedural steps in a predetermined order and without errors, one is guaranteed to get the solutions, but not includes heuristics, which are abstract, sophisticated and deep procedures knowledges that are tremendously powerful assets in problem solving. [10] Therefore, Star (2005) proposed a reconceptualization of procedural knowledge, which suggesting it can be either superficial, like ones mentioned in Hiebert and Lefevre (1986), or deep.[11][9] Deep procedural knowledge is associated with comprehension, flexibility and critical judgement. For example, the goals and subgoals of steps, the environment or type of situation for certain procedure, and the constraints imposed upon the procedure by the environment.[12] Researches of procedural flexibility development indicates flexibility as an indicator for deep procedural knowledge. Individuals with superficial procedural knowledge can only use standard technique, which might lead to low efficiency solutions and probably inability to solve novel questions. However, more flexible solvers, with a deep procedural knowledge, can navigate their way through domain, using techniques other than ones that are over-practiced, and find the best match solutions for different conditions and goals. [13][11][14]

Development

The development of procedural knowledge is always entangled with the development of declarative knowledge. Researchers suggested that initial problem solving involves explicitly referring to examples, participants start with pure example-based processing.[15][16] The examples illustrate the solution of a similar problem and the problem solver analogically maps the solution of the example onto a solution for the current problem. People make extensive reference to examples even when they are initially taught the rules and principles.[17] It is believed that when people acquiring cognitive skills, firstly an example is encoded as a declarative structure. When participants are tested on their first problems, they have two possible ways to respond. If the example matches the problem they learned, they can simply retrieve the answer. However, if it does not match, they must analogically extend the example.[16] With repeated practice, general rules develop, and the specific example is no longer accessed. In this way, knowledge transitions from a declarative form (encoding of examples) to a procedural form (productions rules), which is called the adaptive control of thought—rational (ACT-R) theory.[18]

However, in certain occasions, procedural and declarative knowledge can be acquired independently. Researches with amnesic patients found that they can learn motor skills without the ability to recollect the episodes in which they learned them, also learned and retained the ability to read mirror-reversed words efficiently, yet were severely impaired in recognizing those words, which give evidences about the neurological basis differences in procedural and declarative knowledge.[19][20] Researchers also found that some normal subjects, like amnesic patients, showed substantial procedural learning in the absence of explicit declarative knowledge. Even though declarative knowledge may influence performance on a procedural task, procedural and declarative knowledge may be acquired separately, one does not need to have knowledge of one type in order to build the other type of knowledge. The influence caused by declarative knowledge might be due to the facilitation to a process of pathway activation that is outside of conscious awareness.[21] If the prime is highly predictive of the target, the amount of facilitation is increased because of an active, conscious, attentional effect that is superimposed on the pathway activation.[22] Therefore, if and when subjects develop explicit declarative knowledge of procedure, they can use this knowledge to form attentional expectancies regarding the next item in this procedure.[21]

Activation

Lashley (1951) proposed that behavioral sequences are typically controlled with central plans, and the structure of the plans is hierarchical. Some evidences also support this hypothesis. Same behaviors can have different functional interpretations depending on the context in which they occur. The same sound pattern can be interpreted differently depending on where it occurs in a sentence, for example, “there” and “their”. Such contextual dependence is only possible with functionally overarching states of the sort implied by hierarchical plans. [23] The initiation time of a movement sequence and the inter-response times of the sequence elements can increase with its length.[24] Further, inter-response times can depend on the size of the phrase that is about to be generated. The larger the phrase, the longer the inter-response time.[25][26] Such data have been interpreted in terms of ‘decoding’ or ‘unpacking’ hierarchical plans into their constituents. Moreover, learning difficulties changes with the easiness of behavioral sequences.[27][28] Finally, long-term learning of skills is naturally characterized by the process of forming ever larger hierarchical units or ‘chunks'.[24] People learn control structures for successively larger units of behavior, with newly learned routines calling up or relying on more elementary routines, like learning to play simple notes before being able to play piano concerto.[29]

As for process of behavior plan forming, Rosenhaum et al. (2007) proposed that plans are not formed from scratch for each successive movement sequence but instead are formed by making whatever changes are needed to distinguish the movement sequence to be performed next from the movement sequence that has just been performed.[30] There are evidences found that motor planning occurs by changing features of successively needed motor plans.[31] Also, Rosenhaum et al. (2007) found that even single movements appear to be controlled with hierarchically organized plans. With starting and goal postures at the top level and intermediate states comprising the transition from the starting to the goal at the lower level.[30]

Interaction with conceptual knowledge

The most common understanding in relation to the procedural and conceptual knowledge is of the contrast of ‘knowing how’ and ‘knowing that’.[32] Some see the distinction as a contrast between the tacit knowledge of technology and the explicit knowledge of science.[33] Conceptual knowledge allows us to explain why, hence the distinction of ‘know how’ and ‘know why’.[34] Conceptual knowledge is concerned with relationships among ‘items’ of knowledge, such that when students can identify these links, it means them have ‘conceptual understanding’. Cognitive psychologists also use the term ‘declarative knowledge’, to contrast it with procedural knowledge, and define it as ‘knowledge of facts’.[35] However, declarative knowledge may be a collection of unrelated facts, whereas conceptual knowledge puts the focus on relationships.[36] Also, declarative knowledge is an inert form of knowledge which contrasted with procedural knowledge as an active form, but conceptual knowledge can be part of an active process. Therefore, it is important to know that conceptual knowledge is not simply factual knowledge but consists of ideas that give some power to thinking about technological activity. Several evidence from mathematics learning researches support the idea that conceptual understanding plays a role in generation and adoption of procedures. Children with greater conceptual understanding tend to have greater procedural skill.[37] Conceptual understanding precedes procedural skill.[38] Instruction about concepts as well as procedures can lead to increased procedural skill.[39] And increasing conceptual knowledge leads to procedure generation.[40][41] However, this relationship is not unidirectional. Conceptual and procedural knowledge develop iteratively, but the conceptual knowledge may have a greater influence on procedural knowledge than the reverse.[41][42] Conceptual instruction led to increased conceptual understanding and to generation and transfer of a correct procedure. Procedural instruction led to increased conceptual understanding and to adoption, but only limited transfer, of the instructed procedure.

Technical uses of the phrase

Artificial intelligence

In artificial intelligence, procedural knowledge is one type of knowledge that can be possessed by an intelligent agent. Such knowledge is often represented as a partial or complete finite-state machine or computer program. A well-known example is the procedural reasoning system, which might, in the case of a mobile robot that navigates in a building, contain procedures such as "navigate to a room" or "plan a path". In contrast, an AI system based on declarative knowledge might just contain a map of the building, together with information about the basic actions that can be done by the robot (like moving forward, turning, and stopping), and leave it to a domain-independent planning algorithm to discover how to use those actions to achieve the agent's goals.

Cognitive psychology

Main article: Tacit knowledge

In cognitive psychology, procedural knowledge is the knowledge exercised in the accomplishment of a task, and thus includes knowledge which, unlike declarative knowledge, cannot be easily articulated by the individual, since it is typically nonconscious (or tacit). Many times, the individual learns procedural knowledge without even being aware that they are learning.[43] For example, most individuals can easily recognize a specific face as "attractive" or a specific joke as "funny", but they cannot explain how exactly they arrived at that conclusion or they cannot provide a working definition of "attractiveness" or being "funny". This example illustrates the difference between procedural knowledge and the ordinary notion of knowing how, a distinction which is acknowledged by many cognitive psychologists.[44]

Ordinarily, we would not say that one who is able to recognize a face as attractive is one who knows how to recognize a face as attractive. One knows how to recognize faces as attractive no more than one knows how to recognize certain arrangements of leptons, quarks, etc. as tables. Recognizing faces as attractive, like recognizing certain arrangements of leptons, quarks, etc. as tables, is simply something that one does, or is able to do. It is, therefore, an instance of procedural knowledge, but it is not an instance of know-how. Of course, both forms of knowledge are, in many cases, nonconscious.

For instance, research by a cognitive psychologist Pawel Lewicki has demonstrated that procedural knowledge can be acquired by nonconscious processing of information about covariations.

Educational implications

In the classroom, procedural knowledge is part of the prior knowledge of a student. In the context of formal education procedural knowledge is what is learned about learning strategies. It can be the "tasks specific rules, skills, actions, and sequences of actions employed to reach goals" a student uses in the classroom. As an example for procedural knowledge Cauley refers to how a child learns to count on their hands and/or fingers when first learning math.[45] The Unified Learning Model[46] explicates that procedural knowledge helps make learning more efficient by reducing the cognitive load of the task. In some educational approaches, particularly when working with students with learning disabilities, educators perform a task analysis followed by explicit instruction with the steps needed to accomplish the task.[47]

One advantage of procedural knowledge is that it can involve more senses, such as hands-on experience, practice at solving problems, understanding of the limitations of a specific solution, etc. Thus procedural knowledge can frequently eclipse theory.

One limitation of procedural knowledge is its job-dependent nature. As a result, it tends to be less general than declarative knowledge. For example, a computer expert might have knowledge about a computer algorithm in multiple languages, or in pseudo-code, but a Visual Basic programmer might know only about a specific implementation of that algorithm, written in Visual Basic. Thus the 'hands-on' expertise and experience of the Visual Basic programmer might be of commercial value only to Microsoft job-shops, for example.[citation needed]

Intellectual property law

In intellectual property law, procedural knowledge is a parcel of closely held information relating to industrial technology, sometimes also referred to as a trade secret which enables its user to derive commercial benefit from it. In some legal systems, such procedural knowledge has been considered the intellectual property of a company, and can be transferred when that company is purchased. It is a component of the intellectual property rights on its own merits in most legislations but most often accompanies the license to the right-of-use of patents or trademarks owned by the party releasing it for circumscribed use. Procedural knowledge is not however solely composed of secret information that is not in the public domain; it is a "bundled" parcel of secret and related non-secret information which would be novel to an expert in the field of its usage.

See also

References

  1. ^ Carl, Wolfgang (2014). The First-Person Point of View. Walter de Gruyter. p. 147. ISBN 9783110362855.
  2. ^ a b "Knowledge How". Stanford Encyclopedia of Philosophy. Retrieved 14 June 2020.
  3. ^ a b Stanley, Jason; Williamson, Timothy (2001). "Knowing How". The Journal of Philosophy. 98 (8): 411–444. doi:10.2307/2678403. JSTOR 2678403.
  4. ^ Burgin, M. S. (Mark Semenovich) (2017). Theory of knowledge : structures and processes. New Jersey. p. 48. ISBN 978-981-4522-67-0. OCLC 934627836.
  5. ^ Koedinger, K.R. & Corbett, A. (2006). "Technology Bringing Learning Sciences to the Classroom". In Sawyer, R. K. (Ed.), The Cambridge Handbook of the Learning Sciences. pp. 61–75. New York: Cambridge University Press
  6. ^ McCormick, Robert (1997-01-01). "Conceptual and Procedural Knowledge". International Journal of Technology and Design Education. 7 (1): 141–159. doi:10.1023/A:1008819912213. ISSN 1573-1804.
  7. ^ Rittle-Johnson, Bethany; Siegler, Robert S.; Alibali, Martha Wagner (2001). "Developing conceptual understanding and procedural skill in mathematics: An iterative process". Journal of Educational Psychology. 93 (2): 346–362. doi:10.1037/0022-0663.93.2.346. ISSN 1939-2176.
  8. ^ Corbett, Albert T.; Anderson, John R. (1995). "Knowledge tracing: Modeling the acquisition of procedural knowledge". User Modelling and User-Adapted Interaction. 4 (4): 253–278. doi:10.1007/bf01099821. ISSN 0924-1868.
  9. ^ a b Hiebert, James. Conceptual and procedural knowledge: The case of mathematics.
  10. ^ Schoenfeld, Alan H. (1979). "Explicit Heuristic Training as a Variable in Problem-Solving Performance". Journal for Research in Mathematics Education. 10 (3): 173. doi:10.2307/748805. ISSN 0021-8251.
  11. ^ a b Star, Jon R. (2005). "Reconceptualizing Procedural Knowledge". Journal for Research in Mathematics Education. 36 (5): 404–411. doi:10.2307/30034943. ISSN 0021-8251.
  12. ^ The Development of Mathematical Thinking. 1983. pp. 253–290.
  13. ^ Star, Jon R. (2002). Re-Conceptualizing Procedural Knowledge: The Emergence of "Intelligent" Performances among Equation Solvers. ERIC/CSMEE Publications, 1929 Kenny Road, Columbus, OH 43210-1080.
  14. ^ Star, J. R. (2013). "On the Relationship Between Knowing and Doing in Procedural Learning", International Conference of the Learning Sciences, Psychology Press, pp. 92–98, 2013-04-15, ISBN 978-0-203-76386-5, retrieved 2020-12-08
  15. ^ Anderson, John R.; Fincham, Jon M. (1994). "Acquisition of procedural skills from examples". Journal of Experimental Psychology: Learning, Memory, and Cognition. 20 (6): 1322–1340. doi:10.1037/0278-7393.20.6.1322. ISSN 1939-1285.
  16. ^ a b Anderson, John R.; Fincham, Jon M.; Douglass, Scott (1997). "The role of examples and rules in the acquisition of a cognitive skill". Journal of Experimental Psychology: Learning, Memory, and Cognition. 23 (4): 932–945. doi:10.1037/0278-7393.23.4.932. ISSN 1939-1285.
  17. ^ Ross, Brian H.; Kennedy, Patrick T. (1990). "Generalizing from the use of earlier examples in problem solving". Journal of Experimental Psychology: Learning, Memory, and Cognition. 16 (1): 42–55. doi:10.1037/0278-7393.16.1.42. ISSN 1939-1285.
  18. ^ Anderson, John R (1993). Rules of the Mind. Lawrence Erlbaum Associates, Inc.
  19. ^ Corkin, Suzanne (1968). "Acquisition of motor skill after bilateral medial temporal-lobe excision". Neuropsychologia. 6 (3): 255–265. doi:10.1016/0028-3932(68)90024-9. ISSN 0028-3932.
  20. ^ Cohen, N.; Squire, L. (1980-10-10). "Preserved learning and retention of pattern-analyzing skill in amnesia: dissociation of knowing how and knowing that". Science. 210 (4466): 207–210. doi:10.1126/science.7414331. ISSN 0036-8075.
  21. ^ a b Willingham, Daniel B.; Nissen, Mary J.; Bullemer, Peter (1989). "On the development of procedural knowledge". Journal of Experimental Psychology: Learning, Memory, and Cognition. 15 (6): 1047–1060. doi:10.1037/0278-7393.15.6.1047. ISSN 1939-1285.
  22. ^ Posner, Micheal I; Snyder, Charles R. Facilitation and inhibition in the processing of signals. pp. 669–682.
  23. ^ Lashley, K. S. The problem of serial order in behavior.
  24. ^ a b Rhodes, Bradley J.; Bullock, Daniel; Verwey, Willem B.; Averbeck, Bruno B.; Page, Michael P.A. (2004). "Learning and production of movement sequences: Behavioral, neurophysiological, and modeling perspectives". Human Movement Science. 23 (5): 699–746. doi:10.1016/j.humov.2004.10.008. hdl:2144/1921. ISSN 0167-9457.
  25. ^ Collard, Ren?; Povel, Dirk-Jan (1982). "Theory of serial pattern production: Tree traversals". Psychological Review. 89 (6): 693–707. doi:10.1037/0033-295x.89.6.693. ISSN 0033-295X.
  26. ^ Rosenbaum, David A.; Kenny, Sandra B.; Derr, Marcia A. (1983). "Hierarchical control of rapid movement sequences". Journal of Experimental Psychology: Human Perception and Performance. 9 (1): 86–102. doi:10.1037/0096-1523.9.1.86. ISSN 1939-1277.
  27. ^ Restle, Frank (1970). "Theory of serial pattern learning: Structural trees". Psychological Review. 77 (6): 481–495. doi:10.1037/h0029964. ISSN 1939-1471.
  28. ^ Simon, Herbert A. (1972). "Complexity and the representation of patterned sequences of symbols". Psychological Review. 79 (5): 369–382. doi:10.1037/h0033118. ISSN 0033-295X.
  29. ^ Bryan, William Lowe; Harter, Noble (1897). "Studies in the physiology and psychology of the telegraphic language". Psychological Review. 4 (1): 27–53. doi:10.1037/h0073806. ISSN 0033-295X.
  30. ^ a b Rosenbaum, David A.; Cohen, Rajal G.; Jax, Steven A.; Weiss, Daniel J.; van der Wel, Robrecht (2007). "The problem of serial order in behavior: Lashley's legacy". Human Movement Science. 26 (4): 525–554. doi:10.1016/j.humov.2007.04.001. ISSN 0167-9457.
  31. ^ Rosenbaum, David A; Weber, Robert J; Hazelett, William M; Hindorff, Van (1986). "The parameter remapping effect in human performance: Evidence from tongue twisters and finger fumblers". Journal of Memory and Language. 25 (6): 710–725. doi:10.1016/0749-596x(86)90045-8. ISSN 0749-596X.
  32. ^ Ryle, G. (1949). The concept of mind.
  33. ^ Cross, A.; McCormick, R. (1986). Technology in schools: a reader.
  34. ^ Plant, M. (1994). How is science useful to technology.
  35. ^ Anderson, J.R. (2005). Cognitive psychology and its implications.
  36. ^ Heibert, J.; Lefevre, P. (1986). Conceptual and procedural knowledge: The case of mathematics.
  37. ^ Hiebert, James; Wearne, Diana (1996). "Instruction, Understanding, and Skill in Multidigit Addition and Subtraction". Cognition and Instruction. 14 (3): 251–283. doi:10.1207/s1532690xci1403_1. ISSN 0737-0008.
  38. ^ Gelman, Rochel; Meck, Elizabeth (1983). "Preschoolers' counting: Principles before skill". Cognition. 13 (3): 343–359. doi:10.1016/0010-0277(83)90014-8. ISSN 0010-0277.
  39. ^ Hiebert, James; Wearne, Diana (1992). "Links between Teaching and Learning Place Value with Understanding in First Grade". Journal for Research in Mathematics Education. 23 (2): 98. doi:10.2307/749496. ISSN 0021-8251.
  40. ^ Perry, Michelle (1991). "Learning and transfer: Instructional conditions and conceptual change". Cognitive Development. 6 (4): 449–468. doi:10.1016/0885-2014(91)90049-j. hdl:2027.42/29108. ISSN 0885-2014.
  41. ^ a b Rittle-Johnson, Bethany; Alibali, Martha Wagner (1999). "Conceptual and procedural knowledge of mathematics: Does one lead to the other?". Journal of Educational Psychology. 91 (1): 175–189. doi:10.1037/0022-0663.91.1.175. ISSN 0022-0663.
  42. ^ Rittle-Johnson, Bethany; Siegler, Robert S.; Alibali, Martha Wagner (2001). "Developing conceptual understanding and procedural skill in mathematics: An iterative process". Journal of Educational Psychology. 93 (2): 346–362. doi:10.1037/0022-0663.93.2.346. ISSN 1939-2176.
  43. ^ Stadler, Michael A. (1989). "On learning complex procedural knowledge". Journal of Experimental Psychology: Learning, Memory, and Cognition. 15 (6): 1061–1069. doi:10.1037/0278-7393.15.6.1061.
  44. ^ Stillings, Neil; Weisler, Steven E. and Chase, Christopher H. (1995) Cognitive Science: An Introduction, 2nd edition, Cambridge, MA: MIT Press. p. 396. ISBN 0262691752
  45. ^ Cauley, K.M. (1986). "Studying Knowledge Acquisition: Distinctions among Procedural, Conceptual and Logical Knowledge". 67th Annual Meeting of the American Educational Research Association, San Francisco, CA, April 16–20, 1986.
  46. ^ Shell, Duane (2010). The Unified Learning Model. Springer. ISBN 978-90-481-3215-7.
  47. ^ Glaser, Robert (1984). "Education and thinking: The role of knowledge" (PDF). American Psychologist. 39 (2): 93–104. doi:10.1037/0003-066X.39.2.93.