Beyond mere knowledge of mathematics: The importance of knowing-to act in the moment

Knowing-to is active knowledge which is present in the moment when it is required. To try to produce knowing-to, formal education focuses on forms of knowing which are easier to teach and to test: knowing-that (factual), knowing-how (technique and skills), and knowing-why (having a story in order to structure actions and from which to reconstruct actions). Together these constitute knowing-about the subject. Expertise is demonstrated by being able to respond to assessments: to write essays and to solve routine problems. The central problem of education is that knowing-about does not in itself guarantee knowing-to, as teachers have attested throughout the ages. For example, Edward Fitzgerald (Harrison, 1937) captures it beautifully in one stanza of his purported translation of the Rubaiyat of Omar Khayyam:Myself when young did eagerly frequent,Doctor and Saint and heard great argument,About it and about: but ever more Came out by the same door as in I went (p. 341).Instead of trying to reach definitions, we illustrate distinctions amongst kinds of knowing as used by various authors in the past. Then we turn to our own experience, for it is in one's own experience that one can locate and enliven sources of metaphoric resonances and metonymic triggers which constitute understanding. Drawing on our experience we distinguish knowing-to from other forms of knowing, and explore implications of that distinction for teaching and learning mathematics. We propose that knowing-to act in the moment depends on the structure of attention in the moment, depends on what one is aware of. Educating this awareness is most effectively done by labelling experiences in which powers have been exhibited, and developing a rich network of connections and triggers so that actions come to mind. No-one can act if they are unaware of a possibility to act; no-one can act unless they have an act to perform.This revised version was published online in September 2005 with corrections to the Cover Date.     

Can parents and teachers provide a reliable and valid report of behavioral inhibition?

Reliability and validity of parent and teacher report of behavioral inhibition (BI) was examined among children aged 3 to 5 years. Confirmatory factor analysis supported 6 correlated factors reflecting specific BI contexts, each loading on a single, higher order factor of BI. Internal consistency was acceptable, with moderate stability over 1 year and strong correlation with a brief inhibition subscale from a temperament questionnaire. Children who were rated by mothers and teachers as high BI took longer to initiate contact with a stranger, spoke less often and for shorter periods, and required more prompting to elicit speech compared with low-BI peers in a simulated stranger interaction task. Father report of BI was significantly associated with mean duration of speech and eye gaze.     

Decisional deprivation among senior staff in secondary schools

A survey of secondary school deputy heads and heads of science departments indicates that, despite the trend towards participative school management in recent years, there remain important areas of decisional deprivation common to both groups and that these centre on school finance. The areas of decisional deprivation and equil‐ibruim, however, are not apparently related to the management priorities of either group. A strategy is proposed, based on careful and detailed task definition, aimed at both reducing deprivation and enabling deputies and heads of department to play an even more effective part in school management than currently, suggesting that their management priorities, and those of their heads, require adjustment.     

Telepresence and the Exemplification Effects of Disaster News

Exemplification theory (Zillmann, 1999 Zillmann , D. (1999). Exemplification theory: Judging the whole by the sum of its parts. Media Psychology , 1, 69–94.[Taylor &; Francis Online] , [Google Scholar], 2002 Zillmann , D. ( 2002 ). Exemplification theory of media influence . In J. Bryant &; D. Zillmann (Eds.), Media effects: Advances in theory and research ( , 2nd ed. , pp. 213 – 245 ). Mahwah , NJ : LEA . [Google Scholar]; Zillmann &; Brosius, 2000 Zillmann , D. , &; Brosius , H.-B. ( 2000 ). Exemplification in communication: The influence of case reports on the perception of issues . Mahwah , NJ : LEA . [Google Scholar]) suggests exemplar representations in media content may cause people to make overestimated judgments about phenomena included in this content. The current study sought to examine the role telepresence plays in increasing this exemplification effect. Two-hundred and seventeen participants viewed a news story about Hurricane Katrina using one of three channels: HDTV, NTSC, or on an iPod. Data were consistent with predictions as participants who experienced greater spatial presence and perceptual realism while watching this news story reported increased judgments of the severity of hurricanes and also reported a greater likelihood to engage in behaviors associated with hurricanes. Theoretical and practical implications of these findings are discussed.     

The multiple deficit model of dyslexia: what does it mean for identification and intervention?

Research demonstrates that phonological skills provide the basis of reading acquisition and are a primary processing deficit in dyslexia. This consensus has led to the development of effective methods of reading intervention. However, a single phonological deficit is not sufficient to account for the heterogeneity of individuals with dyslexia, and recent research provides evidence that supports a multiple-deficit model of reading disorders. Two studies are presented that investigate (1) the prevalence of phonological and cognitive processing deficit profiles in children with significant reading disability and (2) the effects of those same phonological and cognitive processing skills on reading development in a sample of children that received treatment for dyslexia. The results are discussed in the context of implications for identification and an intervention approach that accommodates multiple deficits within a comprehensive skills-based reading program.     

Sequential processes in the generalization and transfer of stimulus control

Prior research indicated that a training sequence consisting of a negative stimulus followed by a positive stimulus constitutes the minimal condition for the production of postdiscrimination phenomena typically observed after training with random sequences of the discriminanda. The present experiments, employing multiple schedules with pigeon subjects, confirmed the earlier findings but indicated that they are restricted to procedures in which the reinforcing stimulus may acquire a discriminative function that competes with the control exerted by the nominal discriminanda. The sequences in which the discriminanda were presented did not differentially affect subsequent measures of generalization and transfer if the discriminative function of reinforcement were degraded either by introducing some reinforcers during the negative stimulus (Experiment 1) or by omitting some reinforcers during the positive stimulus (Experiment 2). It was concluded that the sequence in which the discriminanda are presented during discrimination training does not contribute fundamentally to the processes responsible for discrimination formation with random training sequences.     

Social media and corporate reputation during crises: the viability of video-sharing websites for providing counter-messages to traditional broadcast news

Exemplification, or the use of highly emotional and arousing messages to elicit responses based on impression formation, has been shown to influence perceptions of events, individuals, and organizations. News coverage concerning the use of lean finely textured beef (LFTB) is one such example, and anecdotal evidence suggests that this coverage may have had a negative impact on public perception of the manufacturers producing LFTB. The current study examined the use of social media (specifically video-sharing sites) as a means of combating the negative effects of exemplars concerning LFTB. Respondents reported their perceptions of threat severity, susceptibility, behavioral intentions to avoid LFTB, and perceptions of organizational trust and reputation associated with the manufacturer. The findings are consistent with exemplification theory and indicate that message ordering can influence exemplification effects. Results are discussed in terms of implications for public relations and risk communication.     

Tweeting Fast Matters,But Only if I Think About It: Information Updates on Social Media

Social media have emerged as increasingly important sources through which the public seeks information concerning crises or risks. Despite this increased dependence, little is known about the psychological processes associated with perceptions of source credibility or the desire to seek additional information related to the risk. The current study investigates the role of speed of updates in credibility perceptions and information seeking using Twitter. The results do not provide evidence of a direct relationship between update speed and the outcomes under consideration. They do, however, consistently support a mediation model in which cognitive elaboration mediates the relationship between update speed and perceptions of sender competence, goodwill, trustworthiness, and reader (follower/audience/rater/target) desire for additional information. These findings are discussed in terms of their implications and applied use.