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Building a versatile understanding of algebraic variables with a graphic calculator
13 references·4 citing·41 second hop
Building a versatile understanding of algebraic variables with a graphic calculator (2000)Building a versatile understanding of alg…Students' understanding of algebraic notation: 11-15 (2007)Students' understanding of al…STUDENTS' UNDERSTANDING OF ALGEBRAIC NOTATION: 11–15 (1997)STUDENTS' UNDERSTANDING OF AL…Understanding the limit concept: Beginning with a coordinated process scheme (1996)Understanding the limit conce…The graphics calculator in mathematics education: A critical review of recent research (1996)The graphics calculator in ma…Crossing the cognitive gap between arithmetic and algebra: Operating on the unknown in the context of equations (1996)Crossing the cognitive gap be…The gains and the pitfalls of reification — The case of algebra (1994)The gains and the pitfalls of…The Gains and the Pitfalls of Reification — The Case of Algebra (1994)The Gains and the Pitfalls of…Reification as the birth of metaphor (1994)Reification as the birth of m…Encouraging versatile thinking in algebra using the computer (1991)Encouraging versatile thinkin…The influence of graphic calculator use on translation from graphic to symbolic forms (1990)The influence of graphic calc…On the Meaning of Variable (1988)On the Meaning of VariableConcept image and concept definition in mathematics with particular reference to limits and continuity (1981)Concept image and concept def…Intelligence, learning, and action: A foundation for theory and practice in education (1979)Intelligence, learning, and a…Ideas foundational to calculus learning and their links to students’ difficulties (2021)Ideas foundational to calculu…What Kinds of Numbers Do Students Assign to Literal Symbols? Aspects of the Transition from Arithmetic to Algebra (2012)What Kinds of Numbers Do Stud…The Effects of Non‐CAS Graphing Calculators on Student Achievement and Attitude Levels in Mathematics: A Meta‐Analysis (2006)The Effects of Non‐CAS Graphi…Research On Graphing Calculators at the Secondary Level: Implications for Mathematics Teacher Education (2005)Research On Graphing Calculat…The effect of real‐time laboratory graphing on learning graphic representations of distance and velocity (1987)The Many Uses of Algebraic Variables (1992)Bringing Out the Algebraic Character of Arithmetic (2006)Teacher education through the history of mathematics (2007)The Body in the Mind (1987)Women, Fire, and Dangerous Things: What Categories Reveal about the Mind (1989)A Constructivist Alternative to the Representational View of Mind in Mathematics Education (1992)The Evolution of Mathematical Practices: A Case Study (1999)What Is the Object of the Encapsulation of a Process? 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Pp 289. £56. 1991. ISBN 0-7923-1456-5 (Kluwer Academic Publishers) (1995)The development of students' graphical understanding of the derivative (1997)Traditional instruction in advanced mathematics courses: a case study of one professor’s lectures and proofs in an introductory real analysis course (2004)The transition to formal thinking in mathematics (2008)Concepts associated with the equality symbol (1981)Development of the process conception of function (1992)Cognition as Communication: Rethinking Learning-by-Talking Through Multi-Faceted Analysis of Students' Mathematical Interactions (2001)Students’ Reasoning With Reversible Multiplicative Relationships (2010)Images and Definitions for the Concept of Function (1989)Making the transition to formal proof (1994)APOS: A Constructivist Theory of Learning in Undergraduate Mathematics Education Research (2005)
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References

  • 1981Concept image and concept definition in mathematics with particular reference to limits and continuity1,880 cited
  • 1994The Gains and the Pitfalls of Reification — The Case of Algebra387 cited
  • 1996Understanding the limit concept: Beginning with a coordinated process scheme351 cited
  • 1994The gains and the pitfalls of reification — The case of algebra311 cited
  • 1997STUDENTS' UNDERSTANDING OF ALGEBRAIC NOTATION: 11–15223 cited
  • 1994Reification as the birth of metaphor213 cited
  • 2007Students' understanding of algebraic notation: 11-15151 cited
  • 1988On the Meaning of Variable139 cited
  • 1996Crossing the cognitive gap between arithmetic and algebra: Operating on the unknown in the context of equations129 cited
  • 1991Encouraging versatile thinking in algebra using the computer125 cited
  • 1990The influence of graphic calculator use on translation from graphic to symbolic forms125 cited
  • 1996The graphics calculator in mathematics education: A critical review of recent research113 cited
  • 1979Intelligence, learning, and action: A foundation for theory and practice in education72 cited

Cited by

  • 2005Research On Graphing Calculators at the Secondary Level: Implications for Mathematics Teacher Education70 cited

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  • 2021Ideas foundational to calculus learning and their links to students’ difficulties69 cited
  • 2006The Effects of Non‐CAS Graphing Calculators on Student Achievement and Attitude Levels in Mathematics: A Meta‐Analysis65 cited
  • 2012What Kinds of Numbers Do Students Assign to Literal Symbols? Aspects of the Transition from Arithmetic to Algebra55 cited