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Generalising the pattern rule for visual growth patterns: Actions that support 8 year olds’ thinking
9 references·7 citing·34 second hop
Generalising the pattern rule for visual growth patterns: Actions that support 8 year olds’ thinking (2007)Generalising the pattern rule for visual …Handbook of Research Design in Mathematics and Science Education (2012)Handbook of Research Design i…Thinking Mathematically: Integrating Arithmetic & Algebra in Elementary School (2003)Thinking Mathematically: Inte…Design Experiments in Educational Research (2003)Design Experiments in Educati…Handbook of research design in mathematics and science education (2000)Handbook of research design i…Conducting Teaching Experiments in Collaboration With Teachers (2000)Conducting Teaching Experimen…Language and Communication in the Mathematics Classroom. (1998)Language and Communication in…Structural Knowledge: Techniques for Representing, Conveying, and Acquiring Structural Knowledge (1993)Structural Knowledge: Techniq…Genetic Epistemology (1970)Genetic EpistemologyThought and language (1962)Thought and languageSupporting early mathematical development through a ‘pattern and structure’ intervention program (2020)Supporting early mathematical…Connecting mathematics learning through spatial reasoning (2017)Connecting mathematics learni…Developing students’ functional thinking in algebra through different visualisations of a growing pattern’s structure (2015)Developing students’ function…The nature and quality of the mathematical connections teachers make (2012)The nature and quality of the…Years 2 to 6 Students’ Ability to Generalise: Models, Representations and Theory for Teaching and Learning (2011)Years 2 to 6 Students’ Abilit…Grade 2 Students’ Non-Symbolic Algebraic Thinking (2011)Grade 2 Students’ Non-Symboli…Visual templates in pattern generalization activity (2009)Visual templates in pattern g…The developmental psychology of Jean Piaget. (1963)Family resemblances: Studies in the internal structure of categories (1975)Basic objects in natural categories (1976)Principles of Language Learning and Teaching (1981)Handbook of research on mathematics teaching and learning (1992)Proceedings of the 28th Conference of the International Group for the Psychology of Mathematics Education (2004)Second Handbook of Research on Mathematics Teaching and Learning. (2007)Niveles de algebrización de la actividad matemática escolar. Implicaciones para la formación de maestros (2014)Children’s Use of Variables and Variable Notation to Represent Their Algebraic Ideas (2015)A progression in first-grade children’s thinking about variable and variable notation in functional relationships (2017)Problems and issues in the use of concept maps in science assessment (1996)Reconceptalizing change in the cognitive construction of knowledge (1998)Measuring Team Knowledge (2000)Design-Based Research Methods for Studying Learning in Context: Introduction (2004)Funds of knowledge and discourses and hybrid space (2008)Improving mathematics instruction through lesson study: a theoretical model and North American case (2009)Characterizing a Classroom Practice that Promotes Algebraic Reasoning. (2005)Does Understanding the Equal Sign Matter? Evidence from Solving Equations (2006)The Teacher’s Role in Classroom Discourse: A Review of Recent Research Into Mathematics Classrooms (2008)Professional Development and Teacher Learning: Mapping the Terrain (2004)What Happens When Teachers Design Educational Technology? The Development of Technological Pedagogical Content Knowledge (2005)Design-Based Research (2012)Beyond the scientific method: Model‐based inquiry as a new paradigm of preference for school science investigations (2008)Quantitative, Qualitative, and Mixed Research Methods in Engineering Education (2009)Conducting Video Research in the Learning Sciences: Guidance on Selection, Analysis, Technology, and Ethics (2010)Generalization and Justification: The Challenge of Introducing Algebraic Reasoning Through Patterning Activities (2005)Genres of Empirical Research in Teacher Education (2006)I on the Prize: Inquiry Approaches in Undergraduate Mathematics (2019)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)Pedagogic discourse and equity in mathematics: When teachers’ talk matters (2002)Approaching functions: Cabri tools as instruments of semiotic mediation (2007)Iconicity and contraction: a semiotic investigation of forms of algebraic generalizations of patterns in different contexts (2007)
this work references cited by second hop

References

  • 1962Thought and language20,700 cited
  • 2003Design Experiments in Educational Research3,545 cited
  • 1970Genetic Epistemology1,307 cited
  • 2000Handbook of research design in mathematics and science education1,122 cited
  • 1993Structural Knowledge: Techniques for Representing, Conveying, and Acquiring Structural Knowledge689 cited
  • 2012Handbook of Research Design in Mathematics and Science Education567 cited
  • 2003Thinking Mathematically: Integrating Arithmetic & Algebra in Elementary School467 cited
  • 2000Conducting Teaching Experiments in Collaboration With Teachers302 cited
  • 1998Language and Communication in the Mathematics Classroom.228 cited

Cited by

  • 2011Grade 2 Students’ Non-Symbolic Algebraic Thinking94 cited
  • 2009Visual templates in pattern generalization activity90 cited
  • 2020Supporting early mathematical development through a ‘pattern and structure’ intervention program78 cited
  • 2011Years 2 to 6 Students’ Ability to Generalise: Models, Representations and Theory for Teaching and Learning69 cited
  • 2015Developing students’ functional thinking in algebra through different visualisations of a growing pattern’s structure66 cited
  • 2012

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The nature and quality of the mathematical connections teachers make
57 cited
  • 2017Connecting mathematics learning through spatial reasoning57 cited