SZodixStudyAcademic Library
ShelvesOpen access
Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated
The gains and the pitfalls of reification — The case of algebra
7 references·16 citing·38 second hop
The gains and the pitfalls of reification — The case of algebra (1994)The gains and the pitfalls of reification…A cognitive gap between arithmetic and algebra (1994)A cognitive gap between arith…Handbook of research on mathematics teaching and learning (1992)Handbook of research on mathe…Development of the process conception of function (1992)Development of the process co…Research issues in the learning and teaching of algebra (1990)Research issues in the learni…Psychogenesis and the History of Science (1990)Psychogenesis and the History…Translations from the Philosophical Writings of Gottlob Frege (1982)Translations from the Philoso…Concepts associated with the equality symbol (1981)Concepts associated with the …Implementing a Framework for Early Algebra (2017)Implementing a Framework for …Early Algebra (2016)Early AlgebraStudents’ Reasoning With Reversible Multiplicative Relationships (2010)Students’ Reasoning With Reve…How structure sense for algebraic expressions or equations is related to structure sense for abstract algebra (2008)How structure sense for algeb…Convergence of Sequences and Series 2: Interactions Between Nonvisual Reasoning and the Learner’s Beliefs about their own Role (2005)Convergence of Sequences and …Distinguishing Two Stages of Mathematics Conceptual Learning (2004)Distinguishing Two Stages of …Convergence of sequences and series: Interactions between visual reasoning and the learner's beliefs about their own role (2004)Convergence of sequences and …The balance model: Hindrance or support for the solving of linear equations with one unknown (2002)The balance model: Hindrance …Cognition as Communication: Rethinking Learning-by-Talking Through Multi-Faceted Analysis of Students' Mathematical Interactions (2001)Cognition as Communication: R…Students encountering obstacles using a CAS (2000)Students encountering obstacl…On Reform Movement and the Limits of Mathematical Discourse (2000)On Reform Movement and the Li…Building a versatile understanding of algebraic variables with a graphic calculator (2000)Building a versatile understa…The Development of Teacher Leaders and Inservice Teacher Educators (1999)The Development of Teacher Le…Aspects of the Nature and State of Research in Mathematics Education (1999)Aspects of the Nature and Sta…An Alternate Route to the Reification of Function (1997)An Alternate Route to the Rei…Crossing the cognitive gap between arithmetic and algebra: Operating on the unknown in the context of equations (1996)Crossing the cognitive gap be…The growth of logical thinking: From childhood to adolescence. (1958)Second Handbook of Research on Mathematics Teaching and Learning. (2007)Students’ whole number multiplicative concepts: A critical constructive resource for fraction composition schemes (2009)Quantitative Reasoning and the Sine Function: The Case of Zac (2013)Relationships Between Students' Fractional Knowledge and Equation Writing (2015)The Gains and the Pitfalls of Reification — The Case of Algebra (1994)Structure sense: The relationship between algebraic and numerical contexts (1999)Handbook of Research on the Psychology of Mathematics Education (2006)Thought and language (1962)Studies in Ethnomethodology. (1968)Mind in Society: The Development of Higher Psychological Processes (1978)There is more to discourse than meets the ears: Looking at thinking as communicating to learn more about mathematical learning (2001)Characteristics of Effective Teaching of Mathematics: A View from the West (2009)Engaging with others’ mathematical ideas: Interrelationships among student participation, teachers’ instructional practices, and learning (2013)Situated Cognition and the Culture of Learning (1989)Situated Learning (1991)Situated Learning: Legitimate Peripheral Participation. (1994)Reasoning With Tools and Inscriptions (2002)Discourse Research in Mathematics Education: A Critical Evaluation of 108 Journal Articles (2011)Using synchronous peer tutoring system to promote elementary students’ learning in mathematics (2011)Piaget’s Theory (1976)Understanding the limit concept: Beginning with a coordinated process scheme (1996)Factors involved in linking representations of functions (1998)Advances in Instructional Psychology (2019)Examining the Effects of Different Multiple Representational Systems in Learning Primary Mathematics (2002)Arithmetic and Algebra in Early Mathematics Education (2006)Supporting students' learning with multiple representations in a dynamic simulation-based learning environment (2006)Misconceptions Reconceived: A Constructivist Analysis of Knowledge in Transition (1994)What Do New Views of Knowledge and Thinking Have to Say About Research on Teacher Learning? (2000)Teachers’ Mathematical Knowledge, Cognitive Activation in the Classroom, and Student Progress (2009)Characterizing a Classroom Practice that Promotes Algebraic Reasoning. (2005)Does Understanding the Equal Sign Matter? Evidence from Solving Equations (2006)Promoting Transfer: Effects of Self-Explanation and Direct Instruction (2006)The Cognitive Origins of Bourdieu's Habitus (2004)Finding "Meaning" in Psychology: A Lay Theories Approach to Self-Regulation, Social Perception, and Social Development. (2006)Essentialism, word use, and concepts (1996)The return of Ulysses: a cultural history of Homer's Odyssey (2009)Stop talking about fake news! (2018)
this work references cited by second hop

References

  • 1992Handbook of research on mathematics teaching and learning6,121 cited
  • 1981Concepts associated with the equality symbol560 cited
  • 1992Development of the process conception of function400 cited
  • 1994A cognitive gap between arithmetic and algebra364 cited
  • 1990Research issues in the learning and teaching of algebra319 cited
  • 1990Psychogenesis and the History of Science221 cited
  • 1982Translations from the Philosophical Writings of Gottlob Frege193 cited

Cited by

  • 2001Cognition as Communication: Rethinking Learning-by-Talking Through Multi-Faceted Analysis of Students' Mathematical Interactions298 cited
  • 2010Students’ Reasoning With Reversible Multiplicative Relationships162 cited
  • 2000On Reform Movement and the Limits of Mathematical Discourse160 cited
  • 2002The balance model: Hindrance or support for the solving of linear equations with one unknown143 cited
  • 1999Aspects of the Nature and State of Research in Mathematics Education135 cited
  • 1996Crossing the cognitive gap between arithmetic and algebra: Operating on the unknown in the context of equations129 cited
  • 2005Convergence of Sequences and Series 2: Interactions Between Nonvisual Reasoning and the Learner’s Beliefs about their own Role120 cited

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

  • 2004Convergence of sequences and series: Interactions between visual reasoning and the learner's beliefs about their own role108 cited
  • 2016Early Algebra105 cited
  • 2000Building a versatile understanding of algebraic variables with a graphic calculator97 cited
  • 1997An Alternate Route to the Reification of Function94 cited
  • 2004Distinguishing Two Stages of Mathematics Conceptual Learning93 cited
  • 2008How structure sense for algebraic expressions or equations is related to structure sense for abstract algebra76 cited
  • 2000Students encountering obstacles using a CAS73 cited
  • 2017Implementing a Framework for Early Algebra71 cited
  • 1999The Development of Teacher Leaders and Inservice Teacher Educators69 cited