Geometri

I anledning af den seneste reform aflæreruddannelsen er Matematik for lærerstuderende nu blevet målrettet de nye krav. Geometri 4.-10. klasse præsenterer fagligt og fagdidaktisk materiale samt tilhørende arbejdsopgaver svarende til ét modul efter LU13. De I anledning af den seneste reform aflæreruddannelsen er Matematik for lærerstuderende nu blevet målrettet de nye krav. matematikfaglige emner strækker sig fra geometriske eksperimenter og argumenter over måling og areal til flytninger, tegning og symmetriske mønstre. Den såkaldte stofdidaktik, der er knyttet til bogens faglige emner, findes i særlige kapitler, mens det fagdidaktiske stof, der er fælles for al matematikundervisning, skal søges i to andre bøger i systemet: Fagdidaktikken findes i Delta, og bogen My dækker elever med særlige behov.

I anledning af den seneste reform aflæreruddannelsen er Matematik for lærerstuderende nu blevet målrettet de nye krav. Geometri 1.-6. klasse præsenterer fagligt og fagdidaktisk materiale samt tilhørende arbejdsopgaver svarende til ét modul efter LU13. De I anledning af den seneste reform aflæreruddannelsen er Matematik for lærerstuderende nu blevet målrettet de nye krav. matematikfaglige emner strækker sig fra geometriske eksperimenter og argumenter over måling og areal til flytninger, tegning og symmetriske mønstre. Den såkaldte stofdidaktik, der er knyttet til bogens faglige emner, findes i særlige kapitler, mens det fagdidaktiske stof, der er fælles for al matematikundervisning, skal søges i to andre bøger i systemet: Fagdidaktikken findes i Delta, og bogen My dækker elever med særlige behov.

Euklids ELEMENTER er et hovedværk ikke alene i matematikken, men i hele den vestlige civilisation. Det er det ældste aksiomatisk opbyggede værk fra 300 f.Kr. med linjer tilbage til Platons og Aristoteles’ filosofi og fremad mod Archimedes og den senere matematik.Dette er den første danske oversættelse af Euklids plangeometri samlet i hans ELEMENTER I-VI siden Thyra Eibes oversættelse fra 1897-1912.Den nye oversættelse er udsprunget af et ønske om at vise Euklids værk i lyset af den moderne forståelse af græsk matematik som en udløber af samtidens filosofiske retninger; Platon og Aristoteles citeres derfor flittigt i den lange indledning. På samme måde er bogen udstyret med en redegørelse for Euklids sprog og dets mangel på symboler af enhver art - i modsætning til den hidtidige oversættelse, der i overensstemmelse med praksis i det sene 19. århundrede gør brug af symboler fra samtidens matematiske sprog.Desuden er der i appendices vigtige matematikhistoriske tekster og emner (Proklos' oversigt over geometrier, Hilberts aksiomer, Hippias' Quadratrix) og andre hjælpemidler, som ikke findes andetsteds.Bogen henvender sig til en bred gruppe læsere: professionelle matematikere fx i gymnasiet og på universitetet, hvor der undervises i matematikkens historie og videnskabsteori, filosofi- og antikstuderende sammesteds og endelig den ret store gruppe mennesker, der interesserer sig for antik filosofi og matematik.Euklids ELEMENTER består af 13 mindre bøger. Gyldendal samler dem i to bind. Dette første bind indeholder Bog I-VI.  Andet bind indeholder Bog VII-XIII og forventes at udkomme 2023. Euklids ELEMENTER I-VI er indledt, oversat og forsynet med bemærkninger af Claus Glunk, Hanne Eggert Strand, Chr. Marinus Taisbak og Chr. Gorm Tortzen.

This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone!

This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone!

This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.

This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.

This book contains selected chapters on perfectoid spaces, their introduction and applications, as invented by Peter Scholze in his Fields Medal winning work. These contributions are presented at the conference on "Perfectoid Spaces" held at the International Centre for Theoretical Sciences, Bengaluru, India, from 9-20 September 2019. The objective of the book is to give an advanced introduction to Scholze's theory and understand the relation between perfectoid spaces and some aspects of arithmetic of modular (or, more generally, automorphic) forms such as representations mod p, lifting of modular forms, completed cohomology, local Langlands program, and special values of L-functions. All chapters are contributed by experts in the area of arithmetic geometry that will facilitate future research in the direction.

Denne bog er andet bind i serien Gymnasiematematik. Vi lærer om vinkler ved cirklen, specielle punkter i en trekant, konstruktion med passer og lineal og meget mere. God fornøjelse

This book is a thoroughly revised result, updated to mid-1995, of the NATO Advanced Research Workshop on "Intelligent Learning Environments: the case of geometry", held in Grenoble, France, November 13-16, 1989. The main aim of the workshop was to foster exchanges among researchers who were concerned with the design of intelligent learning environments for geometry. The problem of student modelling was chosen as a central theme of the workshop, insofar as geometry cannot be reduced to procedural knowledge and because the significance of its complexity makes it of interest for intelligent tutoring system (ITS) development. The workshop centred around the following themes: modelling the knowledge domain, modelling student knowledge, design­ ing "didactic interaction", and learner control. This book contains revised versions of the papers presented at the workshop. All of the chapters that follow have been written by participants at the workshop. Each formed the basis for a scheduled presentation and discussion. Many are suggestive of research directions that will be carried out in the future. There are four main issues running through the papers presented in this book: ¿ knowledge about geometry is not knowledge about the real world, and materialization of geometrical objects implies a reification of geometry which is amplified in the case of its implementation in a computer, since objects can be manipulated directly and relations are the results of actions (Laborde, Schumann). This aspect is well exemplified by research projects focusing on the design of geometric microworlds (Guin, Laborde).