IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education. The Learning and Teaching of Geometry in Secondary Schools reviews past and present research on the teaching and learning of geometry in secondary schools and proposes an approach for design research on secondary geometry instruction. Areas covered include: teaching and learning secondary geometry through history; the representations of geometric figures; students’ cognition in geometry; teacher knowledge, practice and, beliefs; teaching strategies, instructional improvement, and classroom interventions; research designs and problems for secondary geometry. Drawing on a team of international authors, this new text will be essential reading for experienced teachers of mathematics, graduate students, curriculum developers, researchers, and all those interested in exploring students’ study of geometry in secondary schools.
This thesis mainly describes the development of a screening process for a mirror-image library of chiral natural products. It demonstrates how, by using mirror-image proteins for the screening of available natural products, unavailable mirror-image isomers of natural products can be screened in a mirror process. Moreover, as mirror-image isomers including target proteins and natural products are mainly prepared by means of chemical synthesis, the screening strategy presented here suggests the importance of organic chemistry. Natural products are commonly used as valuable resources for drug discovery. However, as they are mostly produced as single enantiomeric forms, researchers have tested o nly natural products bearing one stereochemistry available in nature. As natural products and their enantiomers have identical physicochemical properties and different biological activities, mirror-image isomers of natural products are promising candidates for novel medicinal resources. In an effort to identify anticancer agents from the mirror-image library, chemical protein syntheses of some target oncoproteins, MDM2, MDMX and Grb2, and their applications to the chemical array screening process were achieved. In the course of this process the NP843 enantiomer, which is the enantiomer of an α-tocopherol derivative, was successfully identified as a novel MDM2-p53 interaction inhibitor. These results clearly show that a mirror-image library of chiral natural products represents an invaluable medicinal resource. Accordingly, the chemistry-based screening strategy described in this thesis will be of great interest to a broad range of chemists involved in natural product, medicinal, and synthetic chemistry.
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