Objective: To describe the development and validation of the Secondary Traumatic Stress Scale (STSS), a 17-item instrument designed to measure intrusion, avoidance, and arousal symptoms associated with indirect exposure to traumatic events via one's professional relationships with traumatized clients. Method: A sample of 287 licensed social workers completed a mailed survey containing the STSS and other relevant survey items. Results: Evidence was found for reliability, convergent and discriminant validity, and factorial validity. Conclusions: The STSS fills a need for reliable and valid instruments specifically designed to measure the negative effects of social work practice with traumatized populations. The instrument may be used to undertake empirical investigation into the prevention and amelioration of secondary traumatic stress among social work practitioners.

Previous evaluations of the Circumplex Model's curvilinear hypothesis using FACES instruments have yielded conflicting results. A review of the different research procedures and samples used in those investigations revealed that none of the studies had samples large and/or heterogenous enough to test the curvilinear hypothesis adequately. The present study evaluates the curvilinear hypothesis of family functioning and the concurrent validity of FACES III with a sample of optimal size (N = 2,440 families) and diversity. The lack of support for the curvilinear hypothesis in this "greenhouse" sample is explained by different findings for the two FACES III subscales. There was no relationship between the study's measures of well-being and the adaptability subscale and a linear relationship between these measures and the cohesion subscale. Implications of these findings for the continuing use of the FACES III and for the Circumplex Model of Marital and Family Systems are discussed.

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Abstract. Brizolis asked for which primes p greater than 3 does there exist a pair (g, h) such that h is a fixed point of the discrete exponential map with base g, or equivalently h is a fixed point of the discrete logarithm with base g. Zhang (1995) and Cobeli and Zaharescu (1999) answered with a "yes" for sufficiently large primes and gave estimates for the number of such pairs when g and h are primitive roots modulo p. In 2000, Campbell showed that the answer to Brizolis was "yes" for all primes. The first author has extended this question to questions about counting fixed points, two-cycles, and collisions of the discrete exponential map. In this paper, we use p-adic methods, primarily Hensel's lemma and p-adic interpolation, to count fixed points, two cycles, collisions, and solutions to related equations modulo powers of a prime p.

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Originally conceived by Frank and Lillian Gilbreth, the “tabletop improvement experiments” have been used in Japan since 1925 to teach important principles of continuous improvement. The experiments, designed for classroom use, communicate their lessons in a striking and memorable way. The work‐related experiments categorize the sources of resistance to change and show how to neutralize them. The process‐related experiments sharpen understanding of where the biggest opportunities for process improvement usually lie. Surprisingly, the experiments are hardly known in the West. We describe all of them and document their history for the first time.

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