What does equals mean? | Teach, Do, Practise, Behave | Teach, Do, Practise, Behave: Equality | Products | Complete Mathematics

What does equals mean?

What does equals mean?

In this video, we explore the idea of equals and build up a conceptual picture of what it might mean.

Teach, Do, Practise, Behave: Equality

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Teach, Do, Practise, Behave

What does equals mean?

Breaking and Fixing

Bridging Instruction

Childrens Learning (Siegler, 1996)

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 Doing1

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)

How do we practise?

Mathematical Fluency: the Nature of Practice and the Role of Subordination (Hewitt, 1996)

Developing mathematical fluency: comparing exercises and rich tasks (Foster, 2017)

Assessing Mathematical Proficiency: What is important? (Burkhart, 2007)

Practising Tasks

What does 'behaving' look like?

What makes a Rich Task? (Griffin, 2009)

Low attainers exhibiting higher-order mathematical thinking (Watson, 2001)

Behaving Tasks

A Learning Episode...