8
Views
11
CrossRef citations to date
0
Altmetric
Original Articles

A Comparison of Four Methods of Scaling for the Acquisition of Early Number Concept

Pages 23-45 | Received 23 Feb 1983, Published online: 06 Jul 2010

References

  • Bart , W. M. and Airasian , P. W. 1974 . Determination of the ordering among seven Piagetian tasks by an ordering theoretic method . J. Educ. Psychol , 66 ( 2 ) : 277 – 284 .
  • Bart , W. M. and Krus , D. J. 1973 . An ordering theoretic method to determine hierarchies among items . Educ., & Psychol. Meas , 33 : 291 – 300 .
  • Bart , W. M. and Lele , K. 1973 . Computer program “ORDER.” , University of Minnesota .
  • Brainerd , C. J. 1973 . Mathematical and behavioral foundations of number . J. Gen. Psychol , 88 : 221 – 281 .
  • Brainerd , C. J. 1973 . The origins of number concepts . Sci. Amer , 228 ( 3 ) : 101 – 109 .
  • Brainerd , C. J. 1977 . Effects of spatial cues on children's cardinal judgments . Devel. Psychol , 13 : 425 – 430 .
  • Brainerd , C. J. 1979 . The Origin of the Number Concept , New York : Praeger .
  • Brainerd , C. J. and Howe , M. L. 1979 . An attentional analysis of small cardinal number concepts in five-year-olds . Can. J. Behav. Sci , 13 : 425 – 430 .
  • Brainerd , C. J. and Siegel , L. S. 1979 . How do we know that two things have the same number? , Research Bulletin No. 469 London , , Canada : University of Western Ontario .
  • Gelman , R. 1972 . “ The nature and development of early number concepts ” . In Advances in Child Development and Behavior , Edited by: Reese , H. W. Vol. 7 , 116 – 167 . New York : Academic Press .
  • Gelman , R. and Gallistfl , C. R. 1978 . The Child's Understanding of Number , Cambridge , MA. : Harvard Univ. Press .
  • Green , B. F. 1956 . A method of scalogram analysis using summary statistics . Psychometrika , 21 : 79 – 88 .
  • Guttman , L. 1950 . “ The basis for scalogram analysis ” . In Measurement and Prediction , Edited by: Stouffer , S. Princeton , NJ : Princeton Univ. Press .
  • Kingma , J. and Koops , W. 1981 . On the sequentiality of ordinality and cardinality . Internat. J. Behav. Devel , 4 : 391 – 402 .
  • Kingma , J. and Loth , F. L. in press . Effects of perceptual variations on number comparison tasks . Internat. J. Behav. Devel ,
  • Kingma , J. and Roelinga , U. 1982 . Cardinal equivalence of small number in young children . Percept., & Motor Skills , 54 : 1023 – 1037 .
  • Kofsky , F. 1966 . A scalogram study of classificatory development . Child Devel , 37 : 191 – 204 .
  • Van Leeuwe , J. F. J. 1974 . Item tree analysis . Nederlands Tÿdschrift voor de Psychol , 29 : 475 – 484 .
  • Van Leeuwe , J. F.J. 1974 . Computer program “EDITA.” , Netherlands : University of Nijmegen .
  • Loevinger , J. 1947 . A systematic approach to the construction and evaluation of test ability . Psychol. Monog , 61 ( No. 4 )
  • Loevinger , J. 1948 . The technique of homogeneous tests compared with some aspects of “scale analysis” and factor analysis . Psychol. Bull , 45 : 507 – 530 .
  • Mokken , R. J. 1971 . A Theory and Procedure of Scale Analysis , Den Haag , , Netherlands : Mouton .
  • Niemöller , B. 1980 . Stochastic Cumulative Scaling, STAP User's Manual , Vol. 4 , Amsterdam , , Netherlands : Univ. Amsterdam .
  • Nunnally , J. C. 1978 . Psychometric Theory , New York : McGraw-Hill .
  • Rasch , G. 1960 . Probabilistic Models for Some Intelligence and Attainment Tests. (Studies in Mathematical Psychology 1.) , Copenhagen , , Denmark : Danmarks Paedagogirke Inst. .
  • Siegel , L. S. 1971 . The sequence of development of certain number concepts in preschool children . Devel. Psychol , 5 ( 2 ) : 357 – 361 .
  • Siegel , L. S. 1974 . Development of number concept: Ordering and correspondence operations and the role of the length cues . Devel. Psychol , 10 : 907 – 912 .
  • Siegel , L. S. 1977 . “ The relationship of language and thought in the preoperational child: A reconsideration of nonverbal alternatives to Piagetian tasks ” . In Alternatives to Piaget , Edited by: Siegel , L. S. and Brainerd , C. J. New York : Academic Press .
  • Siegel , L. S. 1982 . “ The development of quantity concepts: Perceptual and linguistic factors ” . In Children's Logical and Mathematical Cognition , Edited by: Brainerd , C. J. New York : Springer Verlag .
  • Wohlwill , J. T. 1960 . A study of the development of number concept by scalogram analysis . J. Genet. Psychol , 97 : 345 – 377 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.