LEADER 03517nam 22006852 450 001 9910782288703321 005 20151005020622.0 010 $a1-107-18277-8 010 $a1-281-71697-9 010 $a9786611716974 010 $a0-511-81465-8 010 $a0-511-40931-1 010 $a0-511-40795-5 010 $a0-511-40985-0 010 $a0-511-40721-1 010 $a0-511-40874-9 035 $a(CKB)1000000000535621 035 $a(EBL)347203 035 $a(OCoLC)259634985 035 $a(SSID)ssj0000238376 035 $a(PQKBManifestationID)11236377 035 $a(PQKBTitleCode)TC0000238376 035 $a(PQKBWorkID)10222292 035 $a(PQKB)11153617 035 $a(UkCbUP)CR9780511814655 035 $a(Au-PeEL)EBL347203 035 $a(CaPaEBR)ebr10235059 035 $a(CaONFJC)MIL171697 035 $a(OCoLC)236162552 035 $a(MiAaPQ)EBC347203 035 $a(PPN)140357513 035 $a(EXLCZ)991000000000535621 100 $a20101021d2008|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aRigorous mathematical thinking $econceptual formation in the mathematics classroom /$fJames T. Kinard, Sr., Alex Kozulin$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2008. 215 $a1 online resource (v, 209 pages) $cdigital, PDF file(s) 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-70026-4 311 $a0-521-87685-0 320 $aIncludes bibliographical references and index. 327 $aCulture of mathematics -- Goals and objectives of mathematics education -- Vygotsky's sociocultural theory and mathematics learning -- Mediated learning and cognitive functions -- Mathematical concept formation and cognitive tools -- RMT application, assessment, and evaluation. 330 $aThis book demonstrates how rigorous mathematical thinking can be fostered through the development of students' cognitive tools and operations. This approach seems to be particularly effective with socially disadvantaged and culturally different students. The authors argue that children's cognitive functions cannot be viewed as following a natural maturational path: they should be actively constructed during the educational process. The Rigorous Mathematical Thinking (RMT) model is based on two major theoretical approaches - Vygotsky's theory of psychological tools and Feuerstein's concept of mediated learning experience. The book starts with general cognitive tools that are essential for all types of problem solving and then moves to mathematically specific cognitive tools and methods for utilizing these tools for mathematical conceptual formation. The application of the RMT model in various urban classrooms demonstrates how mathematics education standards can be reached even by the students with a history of educational failure who were considered hopeless underachievers. 606 $aMathematics$xStudy and teaching 606 $aMathematics$xPsychological aspects 615 0$aMathematics$xStudy and teaching. 615 0$aMathematics$xPsychological aspects. 676 $a510.71 700 $aKinard$b James T.$f1943-$01563205 702 $aKozulin$b Alex 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910782288703321 996 $aRigorous mathematical thinking$93831413 997 $aUNINA