From Addition to Multiplication … and Back: The Development of Students’ Additive and Multiplicative Reasoning Skills

This study builds on two lines of research that have so far developed largely separately: the use of additive methods to solve proportional word problems and the use of proportional methods to solve additive word problems. We investigated the development with age of both kinds of erroneous solution methods. We gave a test containing missing-value problems to 325 third, fourth, fifth, and sixth graders. Half of the problems had an additive structure and half had a proportional structure. Moreover, in half of the problems the internal and external ratios between the given numbers were integer, while in the other cases numbers were chosen so that these ratios were noninteger. The results indicate a development from applying additive methods “anywhere” in the early years of primary school to applying proportional methods “anywhere” in the later years. Between these two stages many students went through an intermediate stage where they simultaneously applied additive methods to proportional problems and proportional methods to additive problems, switching between them based on the numbers given in the problem.     

Selection Fairness and Outcomes: A field study of interactive effects on applicant reactions

Despite the vast amount of applicant reactions studies, few have examined combined effects of selection outcomes with perceived procedural and distributive fairness on both personal and organizational reactions. Further, most have been conducted in laboratory settings, limiting external validity. The present study examined these effects with a longitudinal design, measuring actual applicants' well‐being and organizational attractiveness preinterview and postoutcome. As expected, several interactions between outcomes and fairness were found. Applicants who were hired reported both highest well‐being and organizational attractiveness when they perceived the outcome as fair. In contrast, applicants who were rejected reported highest well‐being when they thought the outcome was unfair. Selection outcome and procedural fairness interacted for organizational attractiveness, with higher procedural fairness leading to higher attractiveness for rejected applicants.     

Arm, aber glücklich?

In a nationwide German postal survey study 371 psychotherapists who had studied psychology or pedagogic sciences were asked for their net income and job satisfaction levels. Of these, 303 worked in the public health insurance system and 68 worked as freelance psychotherapists not participating in the public health insurance system. The respondents who had practiced as psychotherapists in 1997 were also surveyed with regards to their previous income and job satisfaction at that time. Results indicated that, as expected, psychotherapists participating in the public health insurance system had higher incomes than those who do not. Since 1997 their net income had increased but was still much lower than those of comparable medical specialist groups. Both psychotherapist groups reported an overall high level of satisfaction with the profession. Additionally, psychotherapists practicing in the public health insurance system reported an increasing overall job satisfaction since 1997 while the psychotherapists who do not, remained on a constant overall job satisfaction level. When compared to these psychotherapists, those practicing in the public health insurance system showed higher satisfaction with their economic situation. Most of the respondents from both groups reported that they would still choose this profession today.     

Is overgeneral autobiographical memory an isolated memory phenomenon in major depression?

The present study explored the relation between overgeneral autobiographical memory (AM) and other aspects of memory functioning in depression. A total of 26 patients with major depressive disorder completed a set of memory tasks measuring AM specificity (AMT; Williams & Broadbent, 1986), working memory, semantic memory, verbal learning, delayed verbal recall, recognition memory, and source memory. Reduced specificity of AM was related to poor working memory (central executive functioning) and poor source memory. The former finding conforms to the idea that the voluntary retrieval of specific autobiographical memories (AMs) involves central executive processes (e.g., Conway & Pleydell-Pearce, 2000 Conway, M. A. and Pleydell-Pearce, C. W. 2000. The construction of autobiographical memories in the self-memory system. Psychological Review, 107: 261–288. [Crossref], [PubMed], [Web of Science ®] , [Google Scholar]). The latter finding replicates and extends recent findings suggesting that overgeneral AM is part of a broader memory deficit in retrieving the specific details of the context in which information was acquired (Ramponi, Barnard, & Nimmo-Smith, 2004 Raes , F. , Hermans , D. , Williams , J. M. G. , Demyttenaere , K. , Sabbe , B. , Pieters , G . & Eelen , P. ( 2004 ). Reduced specificity of autobiographical memory: A mediator between rumination and ineffective social problem solving in major depression? Journal of affective disorders , 87 , 331 – 335  [Google Scholar]). Furthermore, in line with Ramponi et al. (2004 Raes , F. , Hermans , D. , Williams , J. M. G. , Demyttenaere , K. , Sabbe , B. , Pieters , G . & Eelen , P. ( 2004 ). Reduced specificity of autobiographical memory: A mediator between rumination and ineffective social problem solving in major depression? Journal of affective disorders , 87 , 331 – 335  [Google Scholar]), rumination was found to be related to both overgeneral AM and poor source memory.     

Operant conditioning of autobiographical memory retrieval

Functional avoidance is considered as one of the key mechanisms underlying overgeneral autobiographical memory (OGM). According to this view OGM is regarded as a learned cognitive avoidance strategy, based on principles of operant conditioning; i.e., individuals learn to avoid the emotionally painful consequences associated with the retrieval of specific negative memories. The aim of the present study was to test one of the basic assumptions of the functional avoidance account, namely that autobiographical memory retrieval can be brought under operant control. Here 41 students were instructed to retrieve personal memories in response to 60 emotional cue words. Depending on the condition, they were punished with an aversive sound for the retrieval of specific or nonspecific memories in an operant conditioning procedure. Analyzes showed that the course of memory specificity significantly differed between conditions. After the procedure participants punished for nonspecific memories retrieved significantly more specific memories compared to participants punished for specific memories. However, whereas memory specificity significantly increased in participants punished for specific memories, it did not significantly decrease in participants punished for nonspecific memories. Thus, while our findings indicate that autobiographical memory retrieval can be brought under operant control, they do not support a functional avoidance view on OGM.     

Frege's puzzle about the cognitive function of truth

The aim of this paper is to give a detailed reconstruction of Frege's solution to his puzzle about the cognitive function of truth, which is this: On the one hand, the concept of truth seems to play an essential role in acquiring knowledge because the transition from the mere hypothetical assumption that p to the acknowledgement of its truth is a crucial step in acquiring the knowledge that p, while, on the other hand, this concept seems to be completely redundant because the sense of the word ‘true’ does not make any essential contribution to the senses of the sentences in which it occurs.     

Flotation restricted environmental stimulation therapy (REST) as a stress-management tool: A meta-analysis

In this study we investigated the value of flotation Restricted Environmental Stimulation Therapy (REST) as a stress-management tool. We focused on the physiological effects of REST, its influence on well-being, and on performance. Twenty-seven studies published in 25 articles or book chapters were included in a meta-analysis. The total number of participants was 449, with a mean age of 29 years (ranging between 20 and 45). Sixty-four percent was male and 36% was female. The results showed that REST has positive effects on physiology (e.g., lower levels of cortisol, lower blood pressure), well-being, and performance. The pre–post mean effect size and the overall randomized control group effect size were relatively strong. This suggests that despite some limitations of the original studies, flotation REST can be a useful stress management tool in addition to or instead of other stress management tools.     

Frege on Truth,Assertoric Force and the Essence of Logic

In a posthumous text written in 1915, Frege makes some puzzling remarks about the essence of logic, arguing that the essence of logic is indicated, properly speaking, not by the word ‘true’, but by the assertoric force. William Taschek has recently shown that these remarks, which have received only little attention, are very important for understanding Frege's conception of logic. On Taschek's reconstruction, Frege characterizes logic in terms of assertoric force in order to stress the normative role that the logical laws play vis-à-vis judgement, assertion and inference. My aim in this paper is to develop and defend an alternative reconstruction according to which Frege stresses that logic is not only concerned with ‘how thoughts follow from other thoughts’, but also with the ‘step from thought to truth-value’. Frege considers logic as a branch of the theory of justification. To justify a conclusion by means of a logical inference, the ‘step from thought to truth-value’ must be taken, that is, the premises must be asserted as true. It is for this reason that, in the final analysis, the assertoric force indicates the essence of logic, for Frege.     

Priming associations between bodily sensations and catastrophic misinterpretations: Specific for panic disorder?

Cognitive models assume that panic disorder is characterised by a tendency to misinterpret benign bodily symptoms (e.g. breathlessness) in a catastrophic fashion (e.g. suffocation). This is a central part of the cognitive model which presents a core focus for treatment. Several studies have supported this hypothesis. These studies have, however, almost always relied on self-report. In addition to susceptibility to biases (e.g. distortions of memory), a limitation of research based on verbal report is its inability to capture the spontaneous/automatic nature that is attributed to these catastrophic interpretations. The present paper reports on two experiments in which a priming procedure was used to test the hypothesis that panic disorder is characterised by spontaneous catastrophic interpretations and whether this effect is ‘specific’ to panic disorder. In line with predictions from the cognitive model, it was observed in the first experiment that the panic group demonstrated facilitated responses to trials consisting of a ‘symptom’ prime and a ‘catastrophic outcome’ target (e.g. breathlessness - suffocate). Similar effects were not observed for an anxious control group and a nonclinical control group, supporting the specificity of this effect. Interestingly, however, significant priming effects were observed for a group of mental health professionals (part of the healthy control group) who had no history of panic disorder. Subsequently, this unexpected observation was explicitly addressed in a second experiment, which confirmed the findings of Experiment 1. Together, these results suggest that associations between mental representations of benign bodily symptoms and catastrophic outcomes might develop as part of professional knowledge and experience, and should not necessarily be viewed as pathogenic. Theoretical and clinical implications are discussed.     

Is Plato’s Timaeus Panentheistic?

Hartshorne and Reese thought that in the Timaeus Plato wasn’t quite a panentheist—though he would have been if he’d been consistent. More recently, Cooper has argued that while Plato’s World Soul may have inspired panentheists, Plato’s text does not itself describe a form of panenetheism. In this paper, I will reconsider this question not only by examining closely the Timaeus but by thinking about which features of current characterizations of panentheism are historically accidental and how the core of the doctrine might most fruitfully be understood. I’ll argue that there is a polytheistic view that deserves to be called panentheistic and that Plato’s Timaeus describes such a view.