Radost' Poiska, Issledovaniy I Otkrytiy Na Zanyatiyakh Matematiki : Issledovaniya pri obuchenii matematike

V dannoy knige avtor predstavlyaet rezul'taty sovmestnoy issledovatel'skoy deyatel'nosti s uchenikami i studentami, opisyvaet protsess poiska i tsepochki rassuzhdeniy, raskryvaet metodicheskie priyemy vovlecheniya v mir otkrytiy. Ves' material razbit na tri smyslovye chasti. V pervoy vyvodyatsya formuly ploshchadey i ob"yemov geometricheskikh figur v raznykh edinitsakh izmereniya, a takzhe rassmatrivaetsya vopros o nakhozhdenii ploshchadi mnogougol'nikov s vershinami v uzlakh treugol'noy reshyetki analogichno tomu, kak vychislyaetsya ploshchad' mnogougol'nikov s vershinami v uzlakh kletchatoy bumagi po formule Pika. Vtoraya chast' posvyashchena novoy matematicheskoy teorii - origametrii. V tret'ey sobrany matematicheskie "izyuminki" - interesnye mysli i nakhodki uchenikov, kotorye yavlyayutsya neischerpaemym istochnikom vdokhnoveniya dlya uchitelya.