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Distinguishing Two Stages of Mathematics Conceptual Learning
16 references·2 citing·29 second hop
Distinguishing Two Stages of Mathematics Conceptual Learning (2004)Distinguishing Two Stages of Mathematics …Studies in Reflecting Abstraction (2014)Studies in Reflecting Abstrac…RADICAL CONSTRUCTIVISM (2010)RADICAL CONSTRUCTIVISMAbstraction in Context: Epistemic Actions (2001)Abstraction in Context: Epist…The development of multiplicative reasoning in the learning of mathematics (1995)The development of multiplica…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…Development of the process conception of function (1992)Development of the process co…Advanced Mathematical Thinking (1990)Advanced Mathematical ThinkingToward a Solution of the Learning Paradox (1985)Toward a Solution of the Lear…The equilibration of cognitive structures : the central problem of intellectual development (1985)The equilibration of cognitiv…Biology and knowledge (1983)Biology and knowledgeLanguage and learning : The debate between Jean Piaget and Noam Chomsky. Edited by Massimo Piattelli-Palmarini. Cambridge, MA: Harvard University Press, 1980. Pp. xxxvi, 409. $20.00. (1981)Language and learning : The d…Mathematics as an Educational Task (1972)Mathematics as an Educational…Genetic Epistemology (1970)Genetic EpistemologyTeachers of Mathematics (1948)Teachers of MathematicsHow We Think: A Restatement of the Relation of Reflective Thinking to the Educative Process (1934)How We Think: A Restatement o…Participatory and Anticipatory Stages of Mathematical Concept Learning: Further Empirical and Theoretical Development (2016)Participatory and Anticipator…Fine grain assessment of students’ mathematical understanding: participatory and anticipatory stagesin learning a new mathematical conception (2007)Fine grain assessment of stud…Creative evolution / (1911)Psychological Needs and the Facilitation of Integrative Processes (1995)The "What" and "Why" of Goal Pursuits: Human Needs and the Self-Determination of Behavior (2000)Facilitating optimal motivation and psychological well-being across life's domains. (2008)Evolution and Cognition (2001)Preparing Culturally Responsive Teachers (2002)What “ideas‐about‐science” should be taught in school science? A Delphi study of the expert community (2003)A life-span theory of control. (1995)Diversity and Higher Education: Theory and Impact on Educational Outcomes (2002)Framing Constructivism in Practice as the Negotiation of Dilemmas: An Analysis of the Conceptual, Pedagogical, Cultural, and Political Challenges Facing Teachers (2002)Didactical Phenomenology of Mathematical Structures (1985)The Learning and Teaching of School Algebra (2006)Digital Fabrication and ‘Making’ in Education (2013)Developing Children's Understanding of the Rational Numbers: A New Model and an Experimental Curriculum (1999)Applying Covariational Reasoning While Modeling Dynamic Events: A Framework and a Study (2002)Participating in Classroom Mathematical Practices (2010)Reflection in teacher education: Towards definition and implementation (1995)Non‐formal learning and tacit knowledge in professional work (2000)Informal learning in the workplace (2004)How People Make Their Own Environments: A Theory of Genotype Environment Effects (1983)Natural language and natural selection (1990)Knowledge Building (2005)Are Giftedness and Creativity Synonyms in Mathematics? (2005)Learning for STEM Literacy: STEM Literacy for Learning (2012)Number Sense as Situated Knowing in a Conceptual Domain (1991)Ontological Innovation and the Role of Theory in Design Experiments (2004)Constructing Scientific Knowledge in the Classroom (1994)Cognitive and Situated Learning Perspectives in Theory and Practice (1999)Revisiting the chemistry triplet: drawing upon the nature of chemical knowledge and the psychology of learning to inform chemistry education (2013)
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References

  • 1934How We Think: A Restatement of the Relation of Reflective Thinking to the Educative Process5,349 cited
  • 2010RADICAL CONSTRUCTIVISM2,078 cited
  • 1972Mathematics as an Educational Task1,335 cited
  • 1970Genetic Epistemology1,307 cited
  • 1985The equilibration of cognitive structures : the central problem of intellectual development899 cited
  • 1983Biology and knowledge755 cited
  • 1981Language and learning : The debate between Jean Piaget and Noam Chomsky. Edited by Massimo Piattelli-Palmarini. Cambridge, MA: Harvard University Press, 1980. Pp. xxxvi, 409. $20.00.750 cited
  • 1995The development of multiplicative reasoning in the learning of mathematics686 cited
  • 1948Teachers of Mathematics646 cited
  • 1990Advanced Mathematical Thinking439 cited
  • 1992Development of the process conception of function400 cited
  • 1994The Gains and the Pitfalls of Reification — The Case of Algebra387 cited
  • 2014Studies in Reflecting Abstraction382 cited
  • 2001Abstraction in Context: Epistemic Actions353 cited
  • 1985Toward a Solution of the Learning Paradox325 cited
  • 1994

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The gains and the pitfalls of reification — The case of algebra
311 cited

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  • 2007Fine grain assessment of students’ mathematical understanding: participatory and anticipatory stagesin learning a new mathematical conception84 cited
  • 2016Participatory and Anticipatory Stages of Mathematical Concept Learning: Further Empirical and Theoretical Development56 cited