Teaching for the development of reasoning

What is reasoning? Piaget and his collaborators have described a developmental and epistemological approach (Inhelder & Piaget, 1958). Information processing theorists describe mental activity in terms of conditions and “actions” called forth without further intermediate steps by these conditions, where “actions” may be overt behaviours or mental operations (Newell, 1973). To the classroom teacher, both of these points of view probably appear remote and theoretical, far from the comments, questions, insights, and misunderstandings exhibited by their students. This article, an abbreviated version of a longer presentation (Karplus, 1980), attempts to present an intermediate level of analysis, close enough to classroom occurences to be easily applied, but also sufficiently general to permit the linking of student behaviour with teaching strategies.

[1]  Anton E. Lawson,et al.  Encouraging the transition from concrete to formal cognitive functioning-an experiment , 1976 .

[2]  Anton E. Lawson,et al.  The influence of instruction on proportional reasoning in seventh graders , 1978 .

[3]  R. Karplus,et al.  Intellectual Development Beyond Elementary School V: Using Ratio in Differing Tasks , 1974 .

[4]  Training effects and generalization of the ability to control variables in high school biology students , 1975 .

[5]  Robert Karplus,et al.  Science teaching and the development of reasoning , 1977 .

[6]  Margaret Brown,et al.  A Study of Concrete and Formal Operations in School Mathematics: A Piagetian Viewpoint , 1976 .

[7]  Z. Diénès Building Up Mathematics , 1960 .

[8]  J. Bruner The Process of Education , 1960 .

[9]  J. Piaget,et al.  The Growth Of Logical Thinking From Childhood To Adolescence: An Essay On The Construction Of Formal Operational Structures , 1958 .

[10]  Anton E. Lawson,et al.  The development and validation of a classroom test of formal reasoning , 1978 .

[11]  Robert Karplus,et al.  SCIS Final Report. , 1976 .

[12]  Herbert D. Thier,et al.  A New Look at Elementary School Science; Science Curriculum Improvement Study , 1967 .

[13]  R. Gagne Conditions of Learning , 1965 .

[14]  E. Lunzer Formal Reasoning: A Reappraisal , 1978 .

[15]  Allen Newell,et al.  Production Systems: Models of Control Structures , 1973 .

[16]  E. Lunzer,et al.  Problems of formal reasoning in test situations. , 1965, Monographs of the Society for Research in Child Development.