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Conceptual Knowledge in Introductory Calculus
7 references·5 citing·37 second hop
Conceptual Knowledge in Introductory Calculus (1996)Conceptual Knowledge in Introductory Calc…Conceptual and Procedural Knowledge in Mathematics: An Introductory Analysis (2013)Conceptual and Procedural Kno…The Learning and Teaching of School Algebra (2006)The Learning and Teaching of …Subject-Matter Knowledge and Pedagogical Content Knowledge: Prospective Secondary Teachers and the Function Concept (1993)Subject-Matter Knowledge and …Images and Definitions for the Concept of Function (1989)Images and Definitions for th…Resequencing Skills and Concepts in Applied Calculus Using the Computer as a Tool (1988)Resequencing Skills and Conce…Concept definition, concept image and the notion of function (1983)Concept definition, concept i…Concept image and concept definition in mathematics with particular reference to limits and continuity (1981)Concept image and concept def…Ideas foundational to calculus learning and their links to students’ difficulties (2021)Ideas foundational to calculu…A review of research on the teaching and learning of chemical kinetics (2016)A review of research on the t…In the Absence of Meaning… (2013)In the Absence of Meaning…Mathematical reasoning in teachers’ presentations (2011)Mathematical reasoning in tea…Conceptual and procedural performance of undergraduate students in integration (2008)Conceptual and procedural per…Mathematics as an Educational Task (1972)Functions, Graphs, and Graphing: Tasks, Learning, and Teaching (1990)How Students Understand Physics Equations (2001)Characterizing a Classroom Practice that Promotes Algebraic Reasoning. (2005)Does Understanding the Equal Sign Matter? Evidence from Solving Equations (2006)Learning and Teaching With Understanding (2006)Students’ understanding and application of the area under the curve concept in physics problems (2011)Understanding student use of differentials in physics integration problems (2013)Those Who Understand: Knowledge Growth in Teaching (1986)Knowledge and Teaching:Foundations of the New Reform (1987)Secondary School Mathematics Teachers' Conceptions of Proof (2002)Professionelle Kompetenz von Lehrkräften (2012)The Influence of Teachers’ Knowledge on Student Learning in Middle School Physical Science Classrooms (2013)The Psychology of Literacy (1981)Chapter 9: Classrooms as Learning Environments for Teachers and Researchers (1990)Subject matter knowledge for teaching and the case of functions (1990)Conditions of Learning (1965)What can digital technologies take from and bring to research in mathematics education? (2003)Integrating Technology into Mathematics Education: Theoretical Perspectives (2009)Mapping Pedagogical Opportunities Provided by Mathematics Analysis Software (2010)Misconceptions Reconceived: A Constructivist Analysis of Knowledge in Transition (1994)How people learn (2000)Qualitative Quality: Eight “Big-Tent” Criteria for Excellent Qualitative Research (2010)Michaelis–Menten Graphs, Lineweaver–Burk Plots, and Reaction Schemes: Investigating Introductory Biochemistry Students’ Conceptions of Representations in Enzyme Kinetics (2019)Inquiry-based chemistry education: a systematic review (2023)How We Think (1910)How We Think: A Restatement of the Relation of Reflective Thinking to the Educative Process (1934)Handbook of research on mathematics teaching and learning (1992)Quantitative Reasoning and the Sine Function: The Case of Zac (2013)Building educational activities for understanding: An elaboration on the embodied-design framework and its epistemic grounds (2014)Secondary mathematics teachers’ meanings for measure, slope, and rate of change (2017)Promoting Access to Knowledge, Strategy, and Disposition in Students: A Research Synthesis (1989)Reconceptualizing procedural knowledge. (2005)Not a One-Way Street: Bidirectional Relations Between Procedural and Conceptual Knowledge of Mathematics (2015)Making the transition to formal proof (1994)APOS: A Constructivist Theory of Learning in Undergraduate Mathematics Education Research (2005)Development of the process conception of function (1992)
this work references cited by second hop

References

  • 1981Concept image and concept definition in mathematics with particular reference to limits and continuity1,880 cited
  • 2013Conceptual and Procedural Knowledge in Mathematics: An Introductory Analysis1,015 cited
  • 2006The Learning and Teaching of School Algebra599 cited
  • 1989Images and Definitions for the Concept of Function507 cited
  • 1983Concept definition, concept image and the notion of function426 cited
  • 1993Subject-Matter Knowledge and Pedagogical Content Knowledge: Prospective Secondary Teachers and the Function Concept401 cited
  • 1988Resequencing Skills and Concepts in Applied Calculus Using the Computer as a Tool243 cited

Cited by

  • 2013In the Absence of Meaning…147 cited
  • 2016A review of research on the teaching and learning of chemical kinetics128 cited
  • 2008Conceptual and procedural performance of undergraduate students in integration121 cited
  • 2011Mathematical reasoning in teachers’ presentations78 cited
  • 2021Ideas foundational to calculus learning and their links to students’ difficulties69 cited

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