The development of arithmetic concepts and skills: Constructing adaptive expertise

@inproceedings{Baroody2003TheDO,
  title={The development of arithmetic concepts and skills: Constructing adaptive expertise},
  author={Arthur J. Baroody and Ann Dowker},
  year={2003}
}
Contents: G. Hatano, Foreword. A.J. Baroody, A. Dowker, Preface. A.J. Baroody, The Development of Adaptive Expertise and Flexibility: The Integration of Conceptual and Procedural Knowledge. R. Cowan, Does It All Add Up? Changes in Children's Knowledge of Addition Combinations, Strategies, and Principles. A.J. Baroody, S.H. Tiilikainen, Two Perspectives on Addition Development. A.J. Baroody, J.L.M. Wilkins, S.H. Tiilikainen, The Development of Children's Understanding of Additive Commutativity… 
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436 Citations

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The principle of inversion, that a + b − b must equal a, is a fundamental property of arithmetic, but many children fail to apply it in symbolic contexts through 10 years of age. We explore three…
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TLDR
Research should shift its focus from merely describing dissociations between children's concepts or procedures to looking for causal mechanisms and instructional approaches that help children to integrate their knowledge by seeing the underlying deep structures of mathematical principles and problems.
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