Educational Studies in Mathematics

, Volume 4, Issue 2, pp 201–219 | Cite as

Logical thinking-language and context

  • Thomas C. O'Brien
  • Bernard J. Shapiro
  • Norma C. Reali


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  1. Carroll, Constance A., ‘Low Achievers’ Understanding of Four Logical Inference Forms: An Analysis of Difficulties and of the Effect of Instruction’, Unpublished doctoral dissertation, Teachers College, 1970.Google Scholar
  2. Ennis, Robert H. and Paulus, Dieter H., ‘Critical Thinking Readiness in Grades 1–12 (Phase I: Deductive Reasoning in Adolescence)’, Final Report, Project 1680, U.S. Office of Education, 1965.Google Scholar
  3. Hill, Shirley A., ‘A Study of the Logical Abilities of Children’, Unpublished doctoral dissertation, Stanford University, 1961.Google Scholar
  4. Miller, William A., ‘The Acceptance and Recognition of Six Logical Inference Patterns by Secondary Students’, Unpublished doctoral dissertation, University of Wisconsin, 1968.Google Scholar
  5. Morgan, William H., ‘A Study of the Abilities of College Mathematics Students in Proof-Related Logic’, Unpublished doctoral dissertation, University of Georgia, 1970.Google Scholar
  6. O'BrienThomas C. and ShapiroBernard J., ‘The Development of Logical Thinking in Children’, American Educational Research Journal (1968), 5, 531–542.Google Scholar
  7. O'Brien, Thomas C. and Shapiro, Bernard J., ‘An Investigation of Children's Logic’, Child Development, in press.Google Scholar
  8. O'Brien, Thomas C. and Richard, June V., ‘Interviews to Assess Number Knowledge’, The Arithmetic Teacher, XVIII, 5 (May, 1971).Google Scholar
  9. RobergeJames J., ‘Children's Abilities to Reason with Basic Principles of Deductive Reasoning’, American Educational Research Journal (1970), 4, 583–596.Google Scholar
  10. ShapiroBernard J. and O'BrienThomas C., ‘Logical Thinking in Children Ages Six Through Sixteen’, Child Development (1970), 41, 823–829.Google Scholar

Copyright information

© D. Reidel Publishing Company 1971

Authors and Affiliations

  • Thomas C. O'Brien
  • Bernard J. Shapiro
  • Norma C. Reali

There are no affiliations available

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