Steiner's Taxonomy Of Tasks
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Steiner's Taxonomy Of Tasks
This article is about Steiner's taxonomy of tasks. In his book ''Group Processes and Productivity,'' Ivan Dale Steiner identified a taxonomy of group tasks to be a key source of coordination problems in groups, contributing to process losses within those groups. These tasks are divided into three categories: Component (or divisibility), Focus (quantity or quality), and Interdependence (combinatorial strategies), with an overlap of tasks between categories.Forsyth, D. R. (2010, 2006). Group Dynamics. Belmont: Wadsworth, Cengage Learning. Component The Component category looks at whether or not a group's task has subcomponents that can be clearly identified and individually assigned to specific members of the group. Divisible Divisible tasks can be divided into subtasks and individual members can be assigned specific subtasks to be completed in contribution to the greater task. For example, a group of students assigned a test to complete together as a group, can divide the qu ...
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Taxonomy (general)
Taxonomy is the practice and science of categorization or classification. A taxonomy (or taxonomical classification) is a scheme of classification, especially a hierarchical classification, in which things are organized into groups or types. Among other things, a taxonomy can be used to organize and index knowledge (stored as documents, articles, videos, etc.), such as in the form of a library classification system, or a search engine taxonomy, so that users can more easily find the information they are searching for. Many taxonomies are hierarchies (and thus, have an intrinsic tree structure), but not all are. Originally, taxonomy referred only to the categorisation of organisms or a particular categorisation of organisms. In a wider, more general sense, it may refer to a categorisation of things or concepts, as well as to the principles underlying such a categorisation. Taxonomy organizes taxonomic units known as "taxa" (singular "taxon")." Taxonomy is different from me ...
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Divisibility
In mathematics, a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n. In this case, one also says that n is a multiple of m. An integer n is divisible or evenly divisible by another integer m if m is a divisor of n; this implies dividing n by m leaves no remainder. Definition An integer is divisible by a nonzero integer if there exists an integer such that n=km. This is written as :m\mid n. Other ways of saying the same thing are that divides , is a divisor of , is a factor of , and is a multiple of . If does not divide , then the notation is m\not\mid n. Usually, is required to be nonzero, but is allowed to be zero. With this convention, m \mid 0 for every nonzero integer . Some definitions omit the requirement that m be nonzero. General Divisors can be negative as well as positive, although sometimes the term is restricted to positive divisors. For example, there are six divisors of 4; they are ...
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Interdependence
Systems theory is the interdisciplinary study of systems, i.e. cohesive groups of interrelated, interdependent components that can be natural or human-made. Every system has causal boundaries, is influenced by its context, defined by its structure, function and role, and expressed through its relations with other systems. A system is "more than the sum of its parts" by expressing synergy or emergent behavior. Changing one component of a system may affect other components or the whole system. It may be possible to predict these changes in patterns of behavior. For systems that learn and adapt, the growth and the degree of adaptation depend upon how well the system is engaged with its environment and other contexts influencing its organization. Some systems support other systems, maintaining the other system to prevent failure. The goals of systems theory are to model a system's dynamics, constraints, conditions, and relations; and to elucidate principles (such as purpose, meas ...
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Quantity
Quantity or amount is a property that can exist as a Counting, multitude or Magnitude (mathematics), magnitude, which illustrate discontinuity (mathematics), discontinuity and continuum (theory), continuity. Quantities can be compared in terms of "more", "less", or "equal", or by assigning a numerical value multiple of a unit of measurement. Mass, time, distance, heat, and angle are among the familiar examples of quantitative properties. Quantity is among the basic Class (philosophy), classes of things along with Quality (philosophy), quality, Substance theory, substance, change, and relation. Some quantities are such by their inner nature (as number), while others function as states (properties, dimensions, attributes) of things such as heavy and light, long and short, broad and narrow, small and great, or much and little. Under the name of multitude comes what is discontinuous and discrete and divisible ultimately into indivisibles, such as: ''army, fleet, flock, government, c ...
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Maximizing
Maximization is a style of decision-making characterized by seeking the best option through an exhaustive search through alternatives. It is contrasted with satisficing, in which individuals evaluate options until they find one that is "good enough". Definition The distinction between "maximizing" and "satisficing" was first made by Herbert A. Simon in 1956.Simon, H. A. (1955). A behavioral model of rational choice. ''Quarterly Journal of Economics, 59'', 99–118.Simon, H. A. (1956). Rational choice and the structure of the environment. ''Psychological Review, 63''(2), 129–138. Simon noted that although fields like economics posited maximization or "optimizing" as the rational method of making decisions, humans often lack the cognitive resources or the environmental affordances to maximize. Simon instead formulated an approach known as bounded rationality, which he also referred to as satisficing. This approach was taken to be adaptive and, indeed, necessary, given our c ...
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Quantum
In physics, a quantum (plural quanta) is the minimum amount of any physical entity (physical property) involved in an interaction. The fundamental notion that a physical property can be "quantized" is referred to as "the hypothesis of quantization". This means that the magnitude of the physical property can take on only discrete values consisting of integer multiples of one quantum. For example, a photon is a single quantum of light (or of any other form of electromagnetic radiation). Similarly, the energy of an electron bound within an atom is quantized and can exist only in certain discrete values. (Atoms and matter in general are stable because electrons can exist only at discrete energy levels within an atom.) Quantization is one of the foundations of the much broader physics of quantum mechanics. Quantization of energy and its influence on how energy and matter interact (quantum electrodynamics) is part of the fundamental framework for understanding and describing nature. E ...
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Optimizing
Mathematical optimization (alternatively spelled ''optimisation'') or mathematical programming is the selection of a best element, with regard to some criterion, from some set of available alternatives. It is generally divided into two subfields: discrete optimization and continuous optimization. Optimization problems of sorts arise in all quantitative disciplines from computer science and engineering to operations research and economics, and the development of solution methods has been of interest in mathematics for centuries. In the more general approach, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function. The generalization of optimization theory and techniques to other formulations constitutes a large area of applied mathematics. More generally, optimization includes finding "best available" values of some objective function given a define ...
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Disjunctive Normal Form
In boolean logic, a disjunctive normal form (DNF) is a canonical normal form of a logical formula consisting of a disjunction of conjunctions; it can also be described as an OR of ANDs, a sum of products, or (in philosophical logic) a ''cluster concept''. As a normal form, it is useful in automated theorem proving. Definition A logical formula is considered to be in DNF if it is a disjunction of one or more conjunctions of one or more literals. A DNF formula is in full disjunctive normal form if each of its variables appears exactly once in every conjunction. As in conjunctive normal form (CNF), the only propositional operators in DNF are and (\wedge), or (\vee), and not (\neg). The ''not'' operator can only be used as part of a literal, which means that it can only precede a propositional variable. The following is a context-free grammar for DNF: # ''DNF'' → (''Conjunction'') \vee ''DNF'' # ''DNF'' → (''Conjunction'') # ''Conjunction'' → ''Literal'' \wedge ''Conju ...
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Conjunctive Tasks
Conjunctive tasks are a part of Steiner's taxonomy of group tasks. Conjunctive tasks can be completed only with the effort and contribution of all group members. Conjunctive tasks are not finished until all members of the group have completed their portion of the task. Conjunctive tasks are often studied when dealing with process losses in groups. Process loss is observed in groups when there is a reduction in their performance effectiveness or efficiency. This could be due to a variety of interpersonal processes, which may be caused by either motivation loss or coordination loss. Conjunctive tasks fall into the latter category of coordination problems in groups. The Most Inferior Group Member (IGM) Conjunctive tasks are tasks where all group members must contribute to the end product in order for it to be completed. On most tasks, a group's performance is the result of a combination of everyone's effort; however, with conjunctive tasks, the group's overall performance depends on ...
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