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ArticleBeyond inductive and deductive reasoning: The search for a sense of knowing

Martin A. Simon1996

Article1996

Beyond inductive and deductive reasoning: The search for a sense of knowing

Martin A. Simon

117 citations·0/0 files stored·Educational Studies in Mathematics

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Mathematics Education and Teaching Techniques Mathematics Education and Pedagogy History and Theory of Mathematics

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References

1990When the Problem Is Not the Question and the Solution Is Not the Answer: Mathematical Knowing and Teaching 1989Explorations of Students' Mathematical Beliefs and Behavior 1979The Essential Piaget 1993High school geometry students' justification for their views of empirical evidence and mathematical proof 1989Proof Frames of Preservice Elementary Teachers 1996Justification in the mathematics classroom: A study of prospective elementary teachers 1991Towards a constructivist perspective: An intervention study of mathematics teacher development 1994Building and Understanding Multiplicative Relationships: A Study of Prospective Elementary Teachers

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2006Teaching Geometry With Problems: Negotiating Instructional Situations and Mathematical Tasks 2009Visual and Spatial Modes in Science Learning 2002Exploring the NATURE OF MATHEMATICAL activity: USING theory, research and `working hypotheses' to broaden conceptions of mathematics knowing 2015Secondary Students’ Quantification of Ratio and Rate: A Framework for Reasoning about Change in Covarying Quantities 2004

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Year1996

Typearticle

Published1996-03-01

VenueEducational Studies in Mathematics

ISSN-L0013-1954

Languageen

Citations117

Files0 public / 0

ShelfMathematics Education and Teaching Techniques

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doi10.1007/bf00302630

openalex_workW1995875985

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Interactions with diagrams and the making of reasoned conjectures in geometry

2012Technology and the Role of Proof: The Case of Dynamic Geometry

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2009Visuals and Visualisation of Human Body Systems