By way of introduction

1977 ◽  
Vol 24 (4) ◽  
pp. 264

There is a new feature for arithmetic teachers in this month's Arithmetic Teacher. “From the File' provides, for the files of teachers, teaching ideas that have been used with good results by other teachers. Each idea is presented in the format of a 10-cm-by-15-cm card, which can be cut out and pasted to a standard file card for ready filing. (If you don't want to cut up your copy of the Arithmetic Teacher, find a good photocopying machine and make a copy of the page, then cut the photocopy.) The ideas will be classified in broad categories—problem solving, computation, geometry, measurement, and so on. They will be varied in content, including activities, projects, games, and interesting problems. The individual who has submitted the idea will be identified, by name and school, in each case.

1951 ◽  
Vol 3 (4) ◽  
pp. 184-197 ◽  
Author(s):  
J. W. Whitfield

Trial-and-error problems are described in terms of “stimulus” difficulty, which is a measure of the number of possible modes of response left to the individual when all the information given is taken into account; and “phenomenal” difficulty, which is a measure derived from the individual's performance. An experiment is described in which three types of problem were presented to human subjects. In all three problems the stimulus difficulty was calculable, stage by stage, in the solution. The problems differed in this stimulus difficulty and also in the qualitative nature of the information provided—from unequivocal to conditional. It is shown that the qualitative difference of the nature of the information bears most relationship to phenomenal difficulty. Some observations are made on the modes of solution adopted, and further experimental work is suggested.


1976 ◽  
Vol 159 (4) ◽  
pp. 49-61
Author(s):  
Jonathan Clark ◽  
Pierre Johannet

The individual employs two basic sources for perception: direct experience and the interpretations of the culture. Natural processes can lead individuals who seek to resolve problems together to excessive reliance on socialized perceptions while overlooking valuable direct experience. As the partners establish assumptions, they may prematurely cease the search for information which could lead to a new perspective on the problem. A cycle is mobilized in which information generated by direct encounter fails to check powerful assumptions. The authors offer an observational model through which partners share both their experiences and their interpretations of these experiences. The model is designed to reduce the power of assumptions and to restore the influence of direct experience in problem resolution.


2021 ◽  
Vol 35 (2-3) ◽  
pp. 209-214
Author(s):  
Frank Fischer

Abstract. This discussion first highlights novel aspects that the individual articles contribute to the special issue on (future) teachers' choice, use, and evaluation of (non-)scientific information sources about educational topics. Among these highlights are the conceptualizations of epistemic goals and the type of pedagogical task as moderators of the selection and use of scientific evidence. The second part raises overarching questions, including the following: How inclusive do we want the concept of evidence to be? How should teachers use research evidence in their pedagogical problem-solving and decision-making? To what extent is multidisciplinary teacher education contributing to epistemological confusion, possibly leading to (pre-service) teachers' low appreciation of educational research?


Author(s):  
Allan M Cyna ◽  
Suyin GM Tan

Many of the communications commonly encountered in anaesthetic practice elicit subconscious responses, and, because this is so, they frequently go unrecognized. This form of communication involves verbal and non-verbal cues also known as suggestions that can elicit automatic changes in perception or behaviour. Much of this chapter is based on language structures that are thought to make subconscious changes in perception, mood or behaviour more likely, both with patients and anaesthetists themselves. Recognizing subconscious responses will facilitate communication. As is discussed later, anaesthetists can communicate with patients and colleagues in ways that utilize subconscious functioning. To all intents and purposes this looks like intuitive communication, when in reality it has structure and therefore can be learned and taught. The conscious and unconscious states are familiar to all anaesthetists. However, it is frequently unappreciated that all patients, whether in an unconscious or conscious state, will also be functioning subconsciously. In the unconscious patient it is well recognized that subconscious activities still occur—for example, in implicit awareness. Most people would appreciate that there are times during consciousness when they switch off the ‘logical brain’ and enter ‘daydream’-type thinking or they ‘tune out’. People including anaesthetists tend to function subconsciously most of the time—for example, during routine activities such as driving home on ‘autopilot’ and arriving home without realizing it consciously. The ability we all have to function automatically—that is, subconsciously—frees up the conscious part of the mind to focus on other things such as planning tomorrow’s ‘neuro’ case. The teleological basis for this ability lies in being able to filter the massive amount of information continuously presented to the individual. This allows the conscious mind to focus on what it perceives to be important—facilitating learning, logical thinking and problem solving. During activities where logical thinking is not a requirement, the subconscious comes to the fore. This is characterized by dissociation from the external environment—being ‘in your own world’. Paradoxically, at times of extreme stress, the subconscious tends to take over when the conscious part of the mind becomes so overwhelmed by external inputs it ceases to function logically.


Author(s):  
Parissa Haghirian

Knowledge is widely recognized as a primary resource of organizations (Drucker, 1992). Some authors propose that knowledge is a company’s only enduring source of advantage in an increasingly competitive world (Birkinshaw, 2001). The problem and challenge companies encounter is managing it in an effective way to increase their competitive advantages. Knowledge management is therefore concerned with various aspects of creating, examining, distributing, and implementing knowledge. But knowledge management theory often leaves us with the impression that knowledge can be as easily managed like products and commodities (Shariq, 1999). This Cognitive Model of Knowledge Management (p. 82) is founded on the belief that knowledge is an asset that needs to be managed, but is strongly contrasted by the Communities in Practice Model of Knowledge Management (p. 83), which looks at knowledge managment and transfer from a sociological perspective (Kakabadse, Kakabadse & Kouzmin, 2003). In fact, the transfer of knowlege happens between individuals; it is a mainly human-to-human process (Shariq, 1999). Knowledge has no universal foundation; it is only based on the agreement and the consensus of communities (Barabas, 1990), which make people and communities the main players in the knowledge transfer process. They can share or conceal knowledge; they may want to know more and want to learn. For knowledge transfer on an individual as well as on a corporporate level, there “has to be a voluntary action on behalf of the individual” (Dougherty, 1999, p. 264). Knowledge transfer happens for individuals and is conducted by individuals. The base of knowledge transfer is therefore a simple communication process transferring information from one individual to another. Two components of the communication are essential: The source (or sender) that sends the message and the receiver to receive the message. Person A (sender) intends to send information to person B (receiver). Person A codifies the information into a suitable form and starts the process of sending the information or knowledge to B. This can take place via talking or writing. The channel which transmits the information might influence the flow of the message and its reception. Receiver B receives the information and decodes it. After this, B tries to understand the information received in his/her context and implements the knowledge in the surrounding environment. The communication model also includes the feedback of the receiver. B starts the whole process again and codifies and sends information back to A. A receives, decodes, and interprets the information or knowledge received. A prerequisite for effective knowledge transfer is a high level of trust among the individuals and work groups and a strong and pervasive culture of cooperation and collaboration. This trust is developed through work practices that encourage and allow individuals to work together on projects and problems (Goh, 2002). Knowledge transfer is thus performed by communities of practice, which are described as groups of professionals informally bound to one another through exposure to a common class of problems, common pursuit of solutions, and thereby embodying a store of knowledge (Manville & Foote, 1996). Their members show a collectively developed understanding of what their community is about. They interact with each other, establishing norms and relationships of mutuality that reflect these interactions. Communities of practice generally produce a shared repertoire of communal resources, for example, language, routines, sensibilities, artifacts, tools, stories, and so forth. Members need to understand the community well enough to be able to contribute to it. They furthermore need to engage with the community and need to be trusted as a partner. Finally, they need to have access to the shared communal resources and use them appropriately (Wenger, 2000). Communities of practice develop strong routines for problem solving via communication and knowledge exchange. If knowledge is transferred within communities of practice, both sender and receiver have a common understanding about the context, the way knowledge is transmitted, its relevance, and integration into the knowledge base of the corporation. Accordingly, communities of practice are generally agreed on to have a positive influence on knowledge transfer processes. Members of a community of practice are informally bound by the gains they find when learning from each other and by efficient problem-solving activities via communication (Wagner, 2000).


1982 ◽  
Vol 46 (2) ◽  
pp. 48-59 ◽  
Author(s):  
Donald R. Lehmann ◽  
William L. Moore ◽  
Terry Elrod

This paper examines Howard's (1963) typology dividing decision making into extensive problem solving (ESP), limited problem solving (LSP), and routinized response behavior (RRB). Specifically, the amount of information accessed in a longitudinal experiment is studied. Information acquisition is modeled stochastically at the individual level, and the existence of two segments (LSP and RRB) is tested in a nested-model framework.


1981 ◽  
Vol 74 (6) ◽  
pp. 434-490
Author(s):  
Ernest Woodward ◽  
J. Sam Tolleson ◽  
James Metz ◽  
Eleanor M. Goldstein

One of our goals should be to present students with challenging and motivating problem-solving activities. The detective story format is one setting that seems to capture the interest of our eighth-grade students. In creating these stories one of our purposes was to construct clues to reinforce previously developed concepts and skills. Usually we presented individual students with mimeographed copies of the detective stories, along with directions for solving the problems. Occasionally we presented the clues, one by one, to the entire class. We used detective stories as part of regular assignments, but they can also be used as problem-of-the-week items or as bonus problems on tests.


1996 ◽  
Vol 89 (8) ◽  
pp. 656-657
Author(s):  
Marie J. Reynolds

Who would ever think that mathematics is alive and well in the minds and pens of the writers of the Macy's Thanksgiving Day Parade commentary? While the turkey was in the oven and its delicious aroma was wafting throughout the house, I settled down to watch some of the floats and bands appearing in the Macy's parade. I snapped my fingers to the catchy Broadway show tunes, tapped my feet to the rhythm of the bass drums in the marching bands, oohed and aahed as the brilliantly decorated floats passed on my television screen, and marveled at the size of the massive character balloons. Soon I recognized a pattern in the commentator's description of each balloon and began to scribble them down: “as large as two doors,” “bigger than a bedroom,” and “barely fits under the Brooklyn Bridge.” Estimation and problem solving—mathematics on Thanksgiving Day!


2008 ◽  
Vol 7 (3) ◽  
pp. 411-418 ◽  
Author(s):  
Yuriy Karpov

It is not only that different dynamic assessment (DA) techniques evaluate different “learning potentials” of the individual; some such techniques do not evaluate any kind of learning potential. In particular, graduated prompts techniques, rather than evaluating learning potential of the individual, evaluate the level of his or her mastery of a certain problemsolving procedure. On the other hand, DA techniques that target the qualitative level at which the individual is able to learn a brand new problem-solving procedure evaluate indeed the individual’s general learning potential.


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