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Professional development (PD) is an essential component of continuing learning for in-service teachers. This paper discusses a school-based example of using the best practice of coaching in early childhood education supported by a professional development school partnership. We explain how a teacher identified need led to a collaborative, multistep approach to meeting that need in connection to State mandates.

In this research, we used a case study methodological approach with a team of preschool teachers at one school. The model combines use of PD sessions, classroom coaching, classroom observation and reflection.

Teachers’ feedback indicates that using the strategy positively impacted most of the participants’ ability to support communication, community-building and inclusive practices in their classrooms. The data that emerged in the following year evidenced increased use of visual supports in classrooms, use in connection with literacy goals and interest in creating new uses in the school.

This article contributes an action-oriented school-based example of bridging research to practice to support teachers’ needs through PD and coaching in a PDS. The design and practical implications may interest preschool educators, instructional coaches, administrators, professional development schools and others involved with monitoring teacher development initiatives.

In response to growing concerns over the negative consequences of Internet addiction on adolescents’ mental health, coupled with conflicting results in this literature stream, this meta-analysis sought to (1) examine the association between Internet addiction and depressive symptoms in adolescents, (2) examine the moderating role of Internet freedom across countries, and (3) examine the mediating role of excessive daytime sleepiness.

In total, 52 studies were analyzed using robust variance estimation and meta-analytic structural equation modeling.

There was a significant and moderate association between Internet addiction and depressive symptoms. Furthermore, Internet freedom did not explain heterogeneity in this literature stream before and after controlling for study quality and the percentage of female participants. In support of the displacement hypothesis, this study found that Internet addiction contributes to depressive symptoms through excessive daytime sleepiness (proportion mediated = 17.48%). As the evidence suggests, excessive daytime sleepiness displaces a host of activities beneficial for maintaining mental health. The results were subjected to a battery of robustness checks and the conclusions remain unchanged.

The results underscore the negative consequences of Internet addiction in adolescents. Addressing this issue would involve interventions that promote sleep hygiene and greater offline engagement with peers to alleviate depressive symptoms.

This study utilizes robust meta-analytic techniques to provide the most comprehensive examination of the association between Internet addiction and depressive symptoms in adolescents. The implications intersect with the shared interests of social scientists, health practitioners, and policy makers.

This practitioner-focused article highlights a collaborative, school-wide project at a PDS that showcased elementary students’ strengths and talents. Based on the children’s book, The Smart Cookie (John, 2021), teachers and the university professor-in-residence developed professional learning communities, which inspired the creation of a space for all students to demonstrate ways in which they were “smart cookies” that aligned with our comprehensive mission of promoting inclusive practices.

Rooted in professional learning communities, teachers at our PDS spent the first half of the school year learning about chosen topics of social–emotional learning, stamina and neurodiversity. The Smart Cookie Project was created to demonstrate the connections between these topics. Students at the PDS were given the opportunity to create an original project that showcased their creativity, interests and talents. Projects were then displayed during a schoolwide showcase.

The impact of the project and the showcase demonstrated the importance of creating opportunities for both teacher and student innovation. The project brought the community together, allowed students to be viewed through strengths-based perspectives, helped teachers see how their own learning can positively impact their practice and emphasized the need for honoring student choice in the classroom.

The project discussed here can lend itself to fellow PDSs looking to adopt innovative instructional approaches, honor inclusive practices and situate students in places of strength.

We present an approach for pricing American put options with a regime-switching volatility. Our method reveals that the option price can be expressed as the sum of two components: the price of a European put option and the premium associated with the early exercise privilege. Our analysis demonstrates that, under these conditions, the perpetual put option consistently commands a higher price during periods of high volatility compared to those of low volatility. Moreover, we establish that the optimal exercise boundary is lower in high-volatility regimes than in low-volatility regimes. Additionally, we develop an analytical framework to describe American puts with an Erlang-distributed random-time horizon, which allows us to propose a numerical technique for approximating the value of American puts with finite expiry. We also show that a combined approach involving randomization and Richardson extrapolation can be a robust numerical algorithm for estimating American put prices with finite expiry.

Polymer laser powder bed fusion (PBF-LB/P) is an additive manufacturing technology that is sustainable due to the possibility of recycling the powder multiple times and allowing the fabrication of gears without the aid of support structures and subsequent assembly. However, there are constraints in the process that negatively affect its adoption compared to other additive technologies such as material extrusion to produce gears. This study aims to demonstrate that it is possible to overcome the problems due to the physics of the process to produce accurate mechanism.

Technological aspects such as orientation, wheel-shaft thicknesses and degree of powder recycling were examined. Furthermore, the evolving tooth profile was considered as a design parameter to provide a manufacturability map of gear-based mechanisms.

Results show that there are some differences in the functioning of the gear depending on the type of powder used, 100% virgin or 50% virgin and 50% recycled for five cycles. The application of a groove on a gear produced with 100% virgin powder allows the mechanism to be easily unlocked regardless of the orientation and wheel-shaft thicknesses. The application of a specific evolutionary profile independent of the diameter of the reference circle on vertically oriented gears guarantees rotation continuity while preserving the functionality of the assembled mechanism.

In the literature, there are various studies on material aging and reuse in the PBF-LB/P process, mainly focused on the powder deterioration mechanism, powder fluidity, microstructure and mechanical properties of the parts and process parameters. This study, instead, was focused on the functioning of gears, which represent one of the applications in which this technology can have great success, by analyzing the two main effects that can compromise it: recycled powder and vertical orientation during construction.