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The learning and teaching of linear algebra: Observations and generalizations
16 references·1 citing·40 second hop
The learning and teaching of linear algebra: Observations and generalizations (2017)The learning and teaching of linear algeb…Research on the teaching and learning of proof: Taking stock and moving forward (2017)Research on the teaching and …Technology and mathematics education (2015)Technology and mathematics ed…APOS theory : a framework for research and curriculum development in mathematics education (2014)APOS theory : a framework for…Does Understanding the Equal Sign Matter? Evidence from Solving Equations (2006)Does Understanding the Equal …Research into the Teaching and Learning of Linear Algebra (2005)Research into the Teaching an…On Some Aspects of Students’ Thinking in Linear Algebra (2005)On Some Aspects of Students’ …APOS: A Constructivist Theory of Learning in Undergraduate Mathematics Education Research (2005)APOS: A Constructivist Theory…Secondary School Mathematics Teachers' Conceptions of Proof (2002)Secondary School Mathematics …On the Teaching of Linear Algebra (2002)On the Teaching of Linear Alg…The teaching and learning of mathematics at university level : an ICMI study (2001)The teaching and learning of …Theory of didactical situations in mathematics (1997)Theory of didactical situatio…The role of deliberate practice in the acquisition of expert performance. (1993)The role of deliberate practi…Handbook of research on mathematics teaching and learning (1992)Handbook of research on mathe…Advanced Mathematical Thinking (1990)Advanced Mathematical ThinkingThose Who Understand: Knowledge Growth in Teaching (1986)Those Who Understand: Knowled…Concept image and concept definition in mathematics with particular reference to limits and continuity (1981)Concept image and concept def…Linear algebra teaching and learning: themes from recent research and evolving research priorities (2019)Linear algebra teaching and l…Teachers of Mathematics (1948)National Council of Teachers of Mathematics (1979)Using example problems to improve student learning in algebra: Differentiating between correct and incorrect examples (2012)Developing Conceptual and Procedural Knowledge of Mathematics (2014)The Development of Children's Algebraic Thinking: The Impact of a Comprehensive Early Algebra Intervention in Third Grade (2014)Advanced Mathematical Thinking, edited by David Tall. Pp 289. £56. 1991. ISBN 0-7923-1456-5 (Kluwer Academic Publishers) (1995)Toward a theory of teaching-in-context (1998)Traditional instruction in advanced mathematics courses: a case study of one professor’s lectures and proofs in an introductory real analysis course (2004)Students’ understanding of trigonometric functions (2005)Collegiate mathematics teaching: An unexamined practice (2010)Conditions of Learning (1965)Critical period effects in second language learning: The influence of maturational state on the acquisition of English as a second language (1989)Flow: the psychology of optimal experience (1990)Long-term working memory. (1995)Child Development and Emergent Literacy (1998)CREATIVE SELF-EFFICACY: ITS POTENTIAL ANTECEDENTS AND RELATIONSHIP TO CREATIVE PERFORMANCE. (2002)Judgment under Uncertainty (1982)Judgment Under Uncertainty: Heuristics and Biases. (1984)Handbook of research on teaching (1986)Knowledge and Teaching:Foundations of the New Reform (1987)Technological Pedagogical Content Knowledge: A Framework for Teacher Knowledge (2006)Why Minimal Guidance During Instruction Does Not Work: An Analysis of the Failure of Constructivist, Discovery, Problem-Based, Experiential, and Inquiry-Based Teaching (2006)Laboratory Life: The Social Construction of Scientific Facts (1986)Cognition, Construction of Knowledge, and Teaching (1998)The functions of multiple representations (1999)DeFT: A conceptual framework for considering learning with multiple representations (2006)RADICAL CONSTRUCTIVISM (2010)The teacher and the tool: instrumental orchestrations in the technology-rich mathematics classroom (2010)The Role of Goal Orientation in Self-Regulated Learning (2000)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)Images and Definitions for the Concept of Function (1989)Making the transition to formal proof (1994)The Gains and the Pitfalls of Reification — The Case of Algebra (1994)Are Giftedness and Creativity Synonyms in Mathematics? (2005)Learning for STEM Literacy: STEM Literacy for Learning (2012)“I would rather die”: reasons given by 16-year-olds for not continuing their study of mathematics (2008)Explicating the Role of Mathematical Tasks in Conceptual Learning: An Elaboration of the Hypothetical Learning Trajectory (2004)Overcoming Barriers to Student Understanding (2006)When the Rules of Discourse Change, but Nobody Tells You: Making Sense of Mathematics Learning From a Commognitive Standpoint (2007)
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References

  • 1986Those Who Understand: Knowledge Growth in Teaching21,062 cited
  • 1993The role of deliberate practice in the acquisition of expert performance.9,542 cited
  • 1992Handbook of research on mathematics teaching and learning6,128 cited
  • 1981Concept image and concept definition in mathematics with particular reference to limits and continuity1,930 cited
  • 1997Theory of didactical situations in mathematics1,386 cited
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  • 2006Does Understanding the Equal Sign Matter? Evidence from Solving Equations395 cited
  • 2001The teaching and learning of mathematics at university level : an ICMI study389 cited
  • 2005APOS: A Constructivist Theory of Learning in Undergraduate Mathematics Education Research378 cited
  • 2002Secondary School Mathematics Teachers' Conceptions of Proof350 cited
  • 2014APOS theory : a framework for research and curriculum development in mathematics education219 cited
  • 2002On the Teaching of Linear Algebra198 cited
  • 2005On Some Aspects of Students’ Thinking in Linear Algebra158 cited
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  • 2017Research on the teaching and learning of proof: Taking stock and moving forward150 cited
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    • 2019Linear algebra teaching and learning: themes from recent research and evolving research priorities48 cited