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Rupture or Continuity: The Arithmetico-Algebraic Thinking as an Alternative in a Modelling Process in a Paper and Pencil and Technology Environment
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Hitt, Fernando; Saboya, Mireille; Zavala, Carlos Cortés – Educational Studies in Mathematics, 2017
Part of the research community that has followed the Early Algebra paradigm is currently delimiting the differences between arithmetic thinking and algebraic thinking. This trend could prevent new research approaches to the problem of learning algebra, hiding the importance of considering an arithmetico-algebraic thinking, a new approach which…
Descriptors: Arithmetic, Algebra, Educational Technology, Thinking Skills
Advanced Numerical-Algebraic Thinking: Constructing the Concept of Covariation as a Prelude to the Concept of Function
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Hitt, Fernando; Morasse, Christian – Electronic Journal of Research in Educational Psychology, 2009
Introduction: In this document we stress the importance of developing in children a structure for advanced numerical-algebraic thinking that can provide an element of control when solving mathematical situations. We analyze pupils' conceptions that induce errors in algebra due to a lack of control in connection with their numerical thinking. We…
Descriptors: Manipulative Materials, Grade 9, Mathematical Concepts, Methods