Representational Fluency in Middle School: A Classroom Study (Nathan et al., 2002)

Representational Fluency in Middle School: A Classroom Study (Nathan et al., 2002)

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Teach, Do, Practise, Behave: Fractions

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What are Fractions?

  • What are fractions?
  • Early Predictors of High School Achievement (Siegler et al., 2012)
  • Revisiting a Theoretical Model on Fractions (Charalambous et al., 2005)
  • The Rational Number Sub-Constructs as a Foundation for Problem Solving (Doyle et al., 2015)
  • Fractions (Askew, 2011)
  • Mindful Learning (Langer, 2000)
  • Fractions in other representations
  • Equivalence and Comparison

Teach, Do, Practise, Behave

  • Phasing Learning
  • Representational Fluency in Middle School: A Classroom Study (Nathan et al., 2002)
  • The Real Story Behind Story Problems: Effects of Representations on Quantitative Reasoning (Koedinger et al., 2004)
  • Bridging Instruction
  • Teaching and Doing
  • Learning from Examples: Instructional Principles from the Worked Examples Research (Atkinson et al., 2000)
  • Mistakes on display: Incorrect examples refine equation solving and algebraic feature knowledge (Barbieri & Booth, 2020)
  • Examples and Tutored Problems: How can Self-Explanation Make a Difference to Learning? (Najar & Mitrovic, 2011)
  • What is Practising?
  • Mathematical Fluency: the Nature of Practice and the Role of Subordination (Hewitt, 1996)
  • What does 'behaving' look like?
  • Developing mathematical fluency: comparing exercises and rich tasks (Foster, 2017)
  • Assessing Mathematical Proficiency: What is important? (Burkhart, 2007)
  • Low attainers exhibiting higher-order mathematical thinking (Watson, 2001)
  • What makes a Rich Task? (Griffin, 2009)
  • A Learning Episode...