LEADER 03652nam 2200613Ia 450 001 9910780015903321 005 20200520144314.0 010 $a1-280-20782-5 010 $a9786610207824 010 $a0-306-47235-X 024 7 $a10.1007/0-306-47235-X 035 $a(CKB)111056487036616 035 $a(EBL)3035412 035 $a(SSID)ssj0000138747 035 $a(PQKBManifestationID)11137541 035 $a(PQKBTitleCode)TC0000138747 035 $a(PQKBWorkID)10100832 035 $a(PQKB)10201034 035 $a(DE-He213)978-0-306-47235-0 035 $a(Au-PeEL)EBL3035412 035 $a(CaPaEBR)ebr10047060 035 $a(CaONFJC)MIL20782 035 $a(OCoLC)55664091 035 $a(MiAaPQ)EBC3035412 035 $a(EXLCZ)99111056487036616 100 $a20040210d1983 my 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDidactical phenomenology of mathematical structures$b[electronic resource] /$fHans Freudenthal 205 $a1st ed. 2002. 210 $aBoston $cKluwer Academic$d1983 215 $a1 online resource (607 p.) 225 1 $aMathematics Education Library,$x0924-4921 ;$v1 300 $aDescription based upon print version of record. 311 $a90-277-1535-1 327 $aAs an Example: Length -- The Method -- Sets -- Natural Numbers -- Fractions -- Ratio and Proportionality -- Structures: In Particular, Geometrical Structures -- Putting into Geometrical Contexts -- Topology as a Geometrical Context -- The Topographical Context -- Figures and Configurations -- Geometrical Mappings -- Measuring by means of Geometry -- Topography with Geometry -- Negative Numbers and Directed Magnitudes -- The Algebraic Language -- Functions. 330 $aThe launch ofa new book series is always a challenging eventn ot only for the Editorial Board and the Publisher, but also, and more particularly, for the first author. Both the Editorial Board and the Publisher are delightedt hat the first author in this series isw ell able to meet the challenge. Professor Freudenthal needs no introduction toanyone in the Mathematics Education field and it is particularly fitting that his book should be the first in this new series because it was in 1968 that he, and Reidel, produced the first issue oft he journal Edu cational Studies in Mathematics. Breakingfresh ground is therefore nothing new to Professor Freudenthal and this book illustrates well his pleasure at such a task. To be strictly correct the ?ground? which he has broken here is not new, but aswith Mathematics as an Educational Task and Weeding and Sowing, it is rather the novelty oft he manner in which he has carried out his analysis which provides us with so many fresh perspectives. It is our intention that this new book series should provide those who work int he emerging discipline of mathematicseducation with an essential resource, and at a time of considerable concern about the whole mathematics cu rriculum this book represents just such resource. ALAN J. BISHOP Managing Editor vii A LOOK BACKWARD AND A LOOK FORWARD Men die, systems last. 410 0$aMathematics Education Library,$x0924-4921 ;$v1 606 $aMathematics$xStudy and teaching 606 $aMathematics 615 0$aMathematics$xStudy and teaching. 615 0$aMathematics. 676 $a370 700 $aFreudenthal$b Hans$f1905-1990.$012433 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910780015903321 996 $aDidactical phenomenology of mathematical structures$93768264 997 $aUNINA