LEADER 00000cam a2200601 a 4500 
001    ocm27974996  
003    OCoLC 
005    20160413091813.0 
008    930401s1994    nyua     b   s001 0 eng   
010       93019443 
015    GB9469802|2bnb 
019    59909760 
020    0791417646|q(paperback : acid-free) 
020    0791417638|q(acid-free) 
020    9780791417638|q(acid-free) 
020    9780791417645|q(paperback : acid-free) 
040    DLC|beng|cDLC|dEYD|dUKV3G|dBAKER|dBTCTA|dYDXCP|dOCLCG|dZWZ
       |dBDX|dGBVCP|dOCLCO|dOCLCF|dOCLCQ 
049    RIDM 
050 00 QA135.5|b.D49 1994 
082 00 372.7/2044|220 
084    17,1|2ssgn 
084    31.02|2bcl 
090    QA135.5|b.D49 1994 
245 04 The Development of multiplicative reasoning in the 
       learning of mathematics /|cedited by Guershon Harel and 
       Jere Confrey. 
246 3  Multiplicative reasoning in the learning of mathematics 
264  1 Albany :|bState University of New York Press,|c[1994] 
264  4 |c©1994 
300    xxviii, 407 pages :|billustrations ;|c24 cm. 
336    text|btxt|2rdacontent 
337    unmediated|bn|2rdamedia 
338    volume|bnc|2rdacarrier 
490 1  SUNY series, reform in mathematics education 
504    Includes bibliographical references and indexes. 
505 0  Theoretical approaches -- Children's multiplying schemes /
       Leslie Steffe -- Multiplicative conceptual field : what 
       and why? / Gerard Vergnaud -- Extending the meaning of 
       multiplication and division / Brian Greer -- The role of 
       the unit -- Ratio and proportion : cognitive foundations 
       in unitizing and norming / Susan Lamon -- Units of 
       quantity : a conceptual basis common to additive and 
       multiplicative structures / Merlyn Behr [and others] -- 
       Ratio and rate -- The development of the concept of speed 
       and its relationship to concepts of rate / Patrick 
       Thompson -- Missing-value proportional reasoning problems,
       factors affecting informal reasoning patterns / James 
       Kaput and Mary Maxwell West -- Multiplicative worlds -- 
       Splitting, similarity, and rate of change : a new approach
       to multiplication and exponential functions / Jere Confrey
       -- Multiplicative structures and the development of 
       logarithms : what was lost by the invention of function? /
       Erick Smith and Jere Confrey -- Intuitive models -- The 
       impact of the number type on the solution of 
       multiplication and division problems : further 
       investigations / Guershon Harel [and others] -- Summary --
       Multiple views of multiplicative structures / Thomas 
       Kieren. 
650  0 Mathematics|xStudy and teaching (Elementary)|0https://
       id.loc.gov/authorities/subjects/sh85082163 
650  0 Multiplication.|0https://id.loc.gov/authorities/subjects/
       sh85088381 
650  0 Division.|0https://id.loc.gov/authorities/subjects/
       sh85038610 
650  7 Mathematics|xStudy and teaching (Elementary)|2fast|0https:
       //id.worldcat.org/fast/1012272 
650  7 Multiplication.|2fast|0https://id.worldcat.org/fast/
       1029054 
650  7 Division.|2fast|0https://id.worldcat.org/fast/895791 
653  0 Division 
653  0 Mathematics|aStudy and teaching (Elementary) 
653  0 Multiplication 
700 1  Harel, Guershon,|d1952-|0https://id.loc.gov/authorities/
       names/n93030256 
700 1  Confrey, Jere.|0https://id.loc.gov/authorities/names/
       n87840499 
830  0 SUNY series, reform in mathematics education.|0https://
       id.loc.gov/authorities/names/n88542753 
856 41 |3Table of contents|uhttp://www.gbv.de/dms/hbz/toc/
       ht007335907.pdf 
901    MARCIVE 20231220 
948    |d20160930|clti|tlti-aex 
994    C0|bRID