LEADER 03002nam 22005055 450 001 9910148693203321 005 20221212044932.0 010 $a1-4426-5470-8 010 $a1-4426-5279-9 024 7 $a10.3138/9781442652798 035 $a(CKB)3710000000922507 035 $a(MiAaPQ)EBC4730256 035 $a(DE-B1597)479364 035 $a(OCoLC)992541722 035 $a(DE-B1597)9781442652798 035 $a(OCoLC)1353743222 035 $a(MdBmJHUP)musev2_107427 035 $a(EXLCZ)993710000000922507 100 $a20170630d2017 fg 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 00$aCounting and Measuring $eAn Approach to Number Education in the Infant School /$fEileen Churchill 210 1$aToronto : $cUniversity of Toronto Press, $d[2017] 210 4$dİ1961 215 $a1 online resource (242 pages) $cillustrations, tables 225 0 $aHeritage 311 $a1-4426-3914-8 320 $aIncludes bibliographical references and index. 327 $tFrontmatter -- $tContents -- $tPlates -- $tFigures -- $tForeword -- $tPreface -- $tChapter One. About Caroline and Others -- $tChapter Two. The Beginnings of Numbering -- $tChapter Three. The Growth of Number Systems -- $tChapter Four. The Beginnings of Understanding -- $tChapter Five. The Origins of Symbolism -- $tChapter Six. From the Concrete to the Abstract -- $tChapter Seven. From Comparison to Measurement -- $tChapter Eight. From Counting to Calculation -- $tChapter Nine. An Exploration of Space -- $tChapter Ten. The Role of the Teacher -- $tBibliography -- $tIndex 330 $aThe teaching of numbers in the primary grades is seen in this book as the foundation of the beginnings of mathematical understanding. Mathematics is taken to be a language, and the aim of its teaching is to make the pupil, so to speak, bilingual, or so to increase his understanding that he is able to translate a concrete numerical problem into the symbolic language of calculation. For a child taught along these lines, how much easier, for example, would be the transition from arithmetic to algebra!Miss Churchill is fully conversant with the works of Piaget, Cuisenaire, Cassirer and other leading thinkers in educational philosophy, psychology, and linguistics. She has synthesized their concepts with her own experience and research at Leeds University, and, though written within the contexts of British education, her book should also have a marked influence on the teaching of young children in North America. 606 $aArithmetic$xStudy and teaching (Elementary) 606 $aNumber concept 615 0$aArithmetic$xStudy and teaching (Elementary) 615 0$aNumber concept. 676 $a372.7 700 $aChurchill$b Eileen$0957039 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9910148693203321 996 $aCounting and Measuring$92167731 997 $aUNINA