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An Approach to Geometric and Numeric Patterning that Fosters Second Grade Students’ Reasoning and Generalizing about Functions and Co-variation
16 references·1 citing·38 second hop
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References

  • 1979National Council of Teachers of Mathematics8,499 cited
  • 1992Handbook of research on mathematics teaching and learning6,121 cited
  • 2004Proceedings of the 28th Conference of the International Group for the Psychology of Mathematics Education905 cited
  • 2006The Learning and Teaching of School Algebra599 cited
  • 1996The Role of Central Conceptual Structures in the Development of Children's Thought486 cited
  • 2000A Study of Proof Conceptions in Algebra474 cited
  • 2019The Journal of Mathematical Behavior450 cited
  • 2003Gestures, Speech, and the Sprouting of Signs: A Semiotic-Cultural Approach to Students' Types of Generalization444 cited
  • 1996Expressing Generality and Roots of Algebra397 cited
  • 1999Developing Children's Understanding of the Rational Numbers: A New Model and an Experimental Curriculum368 cited
  • 1996Approaches to Algebra: Perspectives for Research and Teaching339 cited
  • 2006Arithmetic and Algebra in Early Mathematics Education317 cited
  • 2006Proceedings 30 th Conference of the International Group for the Psych ology of Mathematics Education262 cited
  • 2007Early algebra and mathematical generalization243 cited
  • 2007Iconicity and contraction: a semiotic investigation of forms of algebraic generalizations of patterns in different contexts

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215 cited
  • 2005Generalization and Justification: The Challenge of Introducing Algebraic Reasoning Through Patterning Activities195 cited
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    • 2015Children’s Use of Variables and Variable Notation to Represent Their Algebraic Ideas65 cited