The Maxwell, Einstein, Schrödinger and Dirac equations are considered the most important equations in all of physics. This volume aims to provide new eight- and twelve-dimensional complex solutions to these equations for the first time in order to reveal their richness and continued importance for advancing fundamental Physics. If M-Theory is to keep its promise of defining the ultimate structure of matter and spacetime, it is only through the topological configurations of additional dimensionality (or degrees of freedom) that this will be possible. Stretching the exploration of complex space through all of the main equations of Physics should help tighten the noose on “the” fundamental theory. This kind of exploration of higher dimensional spacetime has for the most part been neglected by M-theorists and physicists in general and is taken to its penultimate form here.
A very exciting and user-friendly text, dealing with standards and making practical connections to assessment and teaching, and with excellent examples throughout." -Gary Willhite, Teacher Educator Southern Illinois University Create a new vision for high quality science teaching! In today′s standards-based educational climate, teachers are challenged to create meaningful learning experiences while meeting specific goals and accountability targets. In her essential new book, Elizabeth Hammerman brings more than 20 years as a science educator and consultant to help teachers connect all of the critical elements of first-rate curriculum and instruction. With this simple, straight-on guide, teachers can analyze their existing curriculum and instruction against a rubric of indicators of critical characteristics, related standards, concept development, and teaching strategies to develop students′ scientific literacy at the highest levels. Every chapter is packed with charts, sample lesson ideas, reflection and discussion prompts, and more, to help teachers expand their capacity for success. Hammerman describes what exceptional teaching looks like in the classroom and provides practical, teacher-friendly strategies to make it happen. This research-based resource will help teachers: Reinforce understanding of standards-based concepts and inquiry Add new content, methods, and strategies for instruction and assessment Create rich learning environments Maximize instructional time Ask probing questions and sharpen discussion Include technology Gather classroom evidence of student achievement to inform instruction Through a new, clear vision for high quality science teaching, this book gives teachers everything they need to deliver meaningful science instruction and ensure student success and achievement.
Why did Thomas Eakins, now considered the foremost American painter of the nineteenth century, make portraiture his main field in an era when other major artists disdained such a choice? With a rich discussion of the cultural and vocational context of the late nineteenth and early twentieth centuries, Elizabeth Johns answers this question.
A book for people in stepfamily situations, to help them understand the complexities, cope with the difficulties, and reap the rewards a stepfamily situation has to offer. Illustrated.
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