Tangent circles in the hyperbolic disk

Constructions of tangent circles in the hyperbolic disk, interpreted in Euclidean geometry, give us examples of four mutually tangent circles. These are shown to satisfy Descartes\u27s Theorem for tangent circles. We also show that the Archimedes twin circles in the hyperbolic arbelos are usually not hyperbolic congruent, even though they are Euclidean congruent. We include a few construction instructions because all items under consideration require surprisingly few steps

The Impact of Second Step Implementation on Students’ Social-Emotional Skills in an Elementary School Setting

A positive classroom and a positive school environment are needed to best support students, especially those students with major behavioral concerns. The implementation of the Second Step curriculum is one way to support positive student behavior. This study examined the impact of Second Step implementation methods on students’ emotion management skills. Peer-to-peer, small-group teacher intervention, and whole-group implementation groups in kindergarten and fifth-grade classrooms were studied. Data collection methods included observational checklists, a district created formative assessment, and pre- and post-tests created by the Second Step curriculum. The data collected indicated that many students had an accurate understanding of social-emotional learning skills, but they did not implement emotion-management skills consistently. However, students participating in peer-to-peer emotion management teaching were more self-aware and applied emotion management skills more frequently when compared to students receiving small-group and whole-group instruction. Based on these results, peer-to-peer instruction methods are recommended to strengthen Second Step emotion management skill instruction and student self-awareness