SZodixStudyAcademic Library
ShelvesOpen access
Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated
The Role of Representation(s) in Developing Mathematical Understanding
9 references·9 citing·38 second hop
The Role of Representation(s) in Developing Mathematical Understanding (2001)The Role of Representation(s) in Developi…Problems of Representation in the Teaching and Learning of Mathematics (2026)Problems of Representation in…The National Science Education Standards (2013)The National Science Educatio…Learning and Teaching With Understanding (2006)Learning and Teaching With Un…National Science Education Standards (1995)National Science Education St…Handbook of research on mathematics teaching and learning (1992)Handbook of research on mathe…A Constructivist Alternative to the Representational View of Mind in Mathematics Education (1992)A Constructivist Alternative …Inventing Graphing: Meta Representational Expertise in Children (1991)Inventing Graphing: Meta Repr…National Council of Teachers of Mathematics (1979)National Council of Teachers …Toward a Theory of Instruction (1966)Toward a Theory of InstructionPracticing Connections: A Framework to Guide Instructional Design for Developing Understanding in Complex Domains (2020)Practicing Connections: A Fra…Pre-university students’ mathematical connections when sketching the graph of derivative and antiderivative functions (2019)Pre-university students’ math…Representational competence: towards a distributed and embodied cognition account (2016)Representational competence: …Language of mechanisms: exam analysis reveals students' strengths, strategies, and errors when using the electron-pushing formalism (curved arrows) in new reactions (2016)Language of mechanisms: exam …Conditions for the Effectiveness of Multiple Visual Representations in Enhancing STEM Learning (2016)Conditions for the Effectiven…Dispositions Toward Teaching Spatial Thinking Through Geography: Conceptualization and an Exemplar Assessment (2014)Dispositions Toward Teaching …Mathematics Teaching and Learning as a Mediating Process: The Case of Tape Diagrams (2008)Mathematics Teaching and Lear…The effects of the classroom flip on the learning environment: a comparison of learning activity in a traditional classroom and a flip classroom that used an intelligent tutoring system (2007)The effects of the classroom …Understanding and Learning-to-explain by Representing Mathematics: Epistemological Dilemmas Facing Teacher Educators in the Secondary Mathematics ``Methods'' Course (2002)Understanding and Learning-to…Students’ preconceptions in introductory mechanics (1982)Culture, Communication, and Cognition: Vygotskian Perspectives. (1987)Functions, Graphs, and Graphing: Tasks, Learning, and Teaching (1990)Beyond Black Boxes: Bringing Transparency and Aesthetics Back to Scientific Investigation (2000)Participatory Simulations: Building Collaborative Understanding Through Immersive Dynamic Modeling (2000)On the Theoretical Breadth of Design-Based Research in Education (2004)The Process of Education (1960)The Methodology of Scientific Research Programmes (1978)Situated Cognition and the Culture of Learning (1989)Examining Pedagogical Content Knowledge (2002)Education for Life and Work: Developing Transferable Knowledge and Skills in the 21st Century (2012)Adding It Up: Helping Children Learn Mathematics (2013)Truth and Method (1960)Reason, Truth and History (1981)Actual Minds, Possible Worlds. (1986)Instructional Tasks, Classroom Discourse, and Students' Learning in Second-Grade Arithmetic (1993)Cognitively Guided Instruction: A Knowledge Base for Reform in Primary Mathematics Instruction (1996)Explicating the Role of Mathematical Tasks in Conceptual Learning: An Elaboration of the Hypothetical Learning Trajectory (2004)Mind in Society: The Development of Higher Psychological Processes (1978)Basics of qualitative research : techniques and procedures for developing grounded theory (1998)Self-Efficacy: The Exercise of Control (1999)Twelve tips for “flipping” the classroom (2014)The Effects of the Flipped Model of Instruction on Student Engagement and Performance in the Secondary Mathematics Classroom (2015)THE IMPLEMENTATION OF A FLIPPED CLASSROOM IN FOREIGN LANGUAGE TEACHING (2015)Promoting understanding of chemical representations: Students' use of a visualization tool in the classroom (2001)Mentored Learning to Teach According to Standards-Based Reform: A Critical Review (2002)Exploring visuospatial thinking in chemistry learning (2004)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)Toward a Theory of Intrinsically Motivating Instruction* (1981)Accommodation of a scientific conception: Toward a theory of conceptual change (1982)DeFT: A conceptual framework for considering learning with multiple representations (2006)What Makes Professional Development Effective? Results From a National Sample of Teachers (2001)Scaffolding and Achievement in Problem-Based and Inquiry Learning: A Response to Kirschner, Sweller, and Clark (2006) (2007)How literacy in its fundamental sense is central to scientific literacy (2003)The laboratory in science education: Foundations for the twenty‐first century (2003)A conceptual framework for integrated STEM education (2016)
this work references cited by second hop

References

  • 1979National Council of Teachers of Mathematics8,499 cited
  • 1995National Science Education Standards7,888 cited
  • 1992Handbook of research on mathematics teaching and learning6,121 cited
  • 1966Toward a Theory of Instruction4,504 cited
  • 2013The National Science Education Standards2,877 cited
  • 2006Learning and Teaching With Understanding965 cited
  • 2026Problems of Representation in the Teaching and Learning of Mathematics850 cited
  • 1992A Constructivist Alternative to the Representational View of Mind in Mathematics Education545 cited
  • 1991Inventing Graphing: Meta Representational Expertise in Children392 cited

Cited by

  • 2007The effects of the classroom flip on the learning environment: a comparison of learning activity in a traditional classroom and a flip classroom that used an intelligent tutoring system320 cited
  • 2016Conditions for the Effectiveness of Multiple Visual Representations in Enhancing STEM Learning279 cited
  • 2008Mathematics Teaching and Learning as a Mediating Process: The Case of Tape Diagrams87 cited
  • 2016Representational competence: towards a distributed and embodied cognition account85 cited
  • 2019Pre-university students’ mathematical connections when sketching the graph of derivative and antiderivative functions

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

84 cited
  • 2016Language of mechanisms: exam analysis reveals students' strengths, strategies, and errors when using the electron-pushing formalism (curved arrows) in new reactions82 cited
  • 2020Practicing Connections: A Framework to Guide Instructional Design for Developing Understanding in Complex Domains69 cited
  • 2002Understanding and Learning-to-explain by Representing Mathematics: Epistemological Dilemmas Facing Teacher Educators in the Secondary Mathematics ``Methods'' Course64 cited
  • 2014Dispositions Toward Teaching Spatial Thinking Through Geography: Conceptualization and an Exemplar Assessment52 cited