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Designing Knowledge Scaffolds to Support Mathematical Problem Solving
16 references·16 citing·43 second hopsampled
Designing Knowledge Scaffolds to Support Mathematical Problem Solving (2005)Designing Knowledge Scaffolds to Support …Cognitive Apprenticeship: Teaching the Crafts of Reading, Writing, and Mathematics (2018)Cognitive Apprenticeship: Tea…Handbook of Educational Psychology (2013)Handbook of Educational Psych…Conceptual and Procedural Knowledge in Mathematics: An Introductory Analysis (2013)Conceptual and Procedural Kno…Adding It Up: Helping Children Learn Mathematics (2013)Adding It Up: Helping Childre…Design-Based Research: Putting a Stake in the Ground (2004)Design-Based Research: Puttin…An effective metacognitive strategy: learning by doing and explaining with a computer-based Cognitive Tutor (2002)An effective metacognitive st…Developing Children's Understanding of the Rational Numbers: A New Model and an Experimental Curriculum (1999)Developing Children's Underst…Science Achievement in the Middle School Years : Iea's Third International Mathematics and Science Study (Timss) (1996)Science Achievement in the Mi…Intrinsic motivation and the process of learning: Beneficial effects of contextualization, personalization, and choice. (1996)Intrinsic motivation and the …Classroom lessons: integrating cognitive theory and classroom practice (1995)Classroom lessons: integratin…Design Experiments: Theoretical and Methodological Challenges in Creating Complex Interventions in Classroom Settings (1992)Design Experiments: Theoretic…Abstract Planning and Perceptual Chunks: Elements of Expertise in Geometry (1990)Abstract Planning and Percept…Situated Cognition and the Culture of Learning (1989)Situated Cognition and the Cu…Cognitive Load During Problem Solving: Effects on Learning (1988)Cognitive Load During Problem…Mind in Society: The Development of Higher Psychological Processes (1978)Mind in Society: The Developm…Three aspects of cognitive development (1976)Three aspects of cognitive de…On mathematical understanding: perspectives of experienced Chinese mathematics teachers (2015)On mathematical understanding…Developing a Framework for Creating Effective Instructional Video Podcasts (2014)Developing a Framework for Cr…Teaching engineering and technology: cognitive, knowledge and problem-solving taxonomies (2013)Teaching engineering and tech…E-book as facilitator of vocabulary acquisition: support of adults, dynamic dictionary and static dictionary (2013)E-book as facilitator of voca…Adding self-explanation prompts to an educational computer game (2013)Adding self-explanation promp…Using Students’ Representations Constructed during Problem Solving To Infer Conceptual Understanding (2012)Using Students’ Representatio…Teaching image-processing concepts in junior high school: boys’ and girls’ achievements and attitudes towards technology (2012)Teaching image-processing con…Interleaved practice in multi-dimensional learning tasks: Which dimension should we interleave? (2012)Interleaved practice in multi…Exploring the relation between visualizer–verbalizer cognitive styles and performance with visual or verbal learning material (2011)Exploring the relation betwee…Comparing the effects of representational tools in collaborative and individual inquiry learning (2011)Comparing the effects of repr…Are diagrams always helpful tools? Developmental and individual differences in the effect of presentation format on student problem solving (2011)Are diagrams always helpful t…Developing Problem Solving and Communication Skills Through Memo Assignments in a Management Science Course (2010)Developing Problem Solving an…Designing to develop disciplinary dispositions: Modeling natural systems. (2009)Designing to develop discipli…The Dark Matter of Lab Work: Illuminating the Negotiation of Disciplined Perception in Mechanics (2008)The Dark Matter of Lab Work: …When Theories Don't Add Up: Disentangling he Manipulatives Debate (2007)When Theories Don't Add Up: D…A Comparative Analysis of Number Sense Instruction in Reform-Based and Traditional Mathematics Textbooks (2007)A Comparative Analysis of Num…Motivational processes affecting learning. (1986)Educating the Reflective Practitioner: Toward a New Design for Teaching and Learning in the Professions (1987)Knowledge and Teaching:Foundations of the New Reform (1987)Mathematical Knowledge for Teaching and the Mathematical Quality of Instruction: An Exploratory Study (2008)Professional Noticing of Children's Mathematical Thinking (2010)The Common Core State Standards in Mathematics (2015)The Discovery of Grounded Theory; Strategies for Qualitative Research (1968)The Discovery of Grounded Theory: Strategies for Qualitative Research. (1968)Naturalistic inquiry (1985)Design-based research and technology-enhanced learning environments (2005)Design-Based Research (2012)Phases of inquiry-based learning: Definitions and the inquiry cycle (2015)Experience and Education (1986)Intrinsic Motivation and Self-Determination in Human Behavior (1988)Extrinsic Rewards and Intrinsic Motivation in Education: Reconsidered Once Again (2001)Intrinsic Versus Extrinsic Goal Contents in Self-Determination Theory: Another Look at the Quality of Academic Motivation (2006)Why Teachers Adopt a Controlling Motivating Style Toward Students and How They Can Become More Autonomy Supportive (2009)How We Think (1910)Perception in chess (1973)Toward a Theory of Situation Awareness in Dynamic Systems (1995)Cognitive Architecture and Instructional Design (1998)THE ACT OF DISCOVERY (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)The origins of intelligence in children. (1952)The magical number seven, plus or minus two: Some limits on our capacity for processing information. (1994)A REVIEW OF RESEARCH ON PROJECT-BASED LEARNING (2000)Learning by Expanding (2014)Mental Models (1983)Reciprocal Teaching of Comprehension-Fostering and Comprehension-Monitoring Activities (1984)Organizational Learning and Communities-of-Practice: Toward a Unified View of Working, Learning, and Innovation (1991)Situated Learning: Legitimate Peripheral Participation. (1994)What Video Games Have to Teach Us about Learning and Literacy (2004)Problem Based Learning: An instructional model and its constructivist framework (1995)Enhancing teaching through constructive alignment (1996)Technological Pedagogical Content Knowledge: A Framework for Teacher Knowledge (2006)Qualitative Analysis for Social Scientists (1987)Expansive Learning at Work: Toward an activity theoretical reconceptualization (2001)Problem-Based Learning: What and How Do Students Learn? (2004)The Four-Phase Model of Interest Development (2006)Focus on Formative Feedback (2008)What Do New Views of Knowledge and Thinking Have to Say About Research on Teacher Learning? (2000)Professional Development and Teacher Learning: Mapping the Terrain (2004)Improving Impact Studies of Teachers’ Professional Development: Toward Better Conceptualizations and Measures (2009)
this work references cited by second hop· second hop is a sample of the most-cited connections

References

  • 1978Mind in Society: The Development of Higher Psychological Processes53,480 cited
  • 1989Situated Cognition and the Culture of Learning13,635 cited
  • 1988Cognitive Load During Problem Solving: Effects on Learning10,975 cited
  • 2013Adding It Up: Helping Children Learn Mathematics4,090 cited
  • 1992Design Experiments: Theoretical and Methodological Challenges in Creating Complex Interventions in Classroom Settings3,999 cited
  • 2018Cognitive Apprenticeship: Teaching the Crafts of Reading, Writing, and Mathematics3,674 cited
  • 2013Handbook of Educational Psychology3,212 cited
  • 2004Design-Based Research: Putting a Stake in the Ground2,637 cited
  • 1996Intrinsic motivation and the process of learning: Beneficial effects of contextualization, personalization, and choice.1,568 cited
  • 1995Classroom lessons: integrating cognitive theory and classroom practice1,175 cited
  • 2013Conceptual and Procedural Knowledge in Mathematics: An Introductory Analysis1,015 cited
  • 2002An effective metacognitive strategy: learning by doing and explaining with a computer-based Cognitive Tutor894 cited
  • 1976Three aspects of cognitive development670 cited
  • 1996Science Achievement in the Middle School Years : Iea's Third International Mathematics and Science Study (Timss)611 cited

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  • 1990Abstract Planning and Perceptual Chunks: Elements of Expertise in Geometry375 cited
  • 1999Developing Children's Understanding of the Rational Numbers: A New Model and an Experimental Curriculum368 cited
  • Cited by

    • 2007When Theories Don't Add Up: Disentangling he Manipulatives Debate196 cited
    • 2011Exploring the relation between visualizer–verbalizer cognitive styles and performance with visual or verbal learning material103 cited
    • 2011Comparing the effects of representational tools in collaborative and individual inquiry learning94 cited
    • 2008The Dark Matter of Lab Work: Illuminating the Negotiation of Disciplined Perception in Mechanics78 cited
    • 2009Designing to develop disciplinary dispositions: Modeling natural systems.76 cited
    • 2007A Comparative Analysis of Number Sense Instruction in Reform-Based and Traditional Mathematics Textbooks76 cited
    • 2015On mathematical understanding: perspectives of experienced Chinese mathematics teachers69 cited
    • 2012Interleaved practice in multi-dimensional learning tasks: Which dimension should we interleave?66 cited
    • 2013Adding self-explanation prompts to an educational computer game61 cited
    • 2014Developing a Framework for Creating Effective Instructional Video Podcasts58 cited
    • 2013Teaching engineering and technology: cognitive, knowledge and problem-solving taxonomies57 cited
    • 2012Using Students’ Representations Constructed during Problem Solving To Infer Conceptual Understanding56 cited
    • 2011Are diagrams always helpful tools? Developmental and individual differences in the effect of presentation format on student problem solving55 cited
    • 2013E-book as facilitator of vocabulary acquisition: support of adults, dynamic dictionary and static dictionary50 cited
    • 2012Teaching image-processing concepts in junior high school: boys’ and girls’ achievements and attitudes towards technology31 cited
    • 2010Developing Problem Solving and Communication Skills Through Memo Assignments in a Management Science Course9 cited