Complete Mathematics/Teach, Do, Practise, Behave: Equality

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Teach, Do, Practise, Behave: Equality


In this course we will look how we can phase the learning of different topics using the teach, do, practise, behave model. 

In particular we will look at a snap shot of how we could teach a learning episode, including some useful tasks and models to use to offer opportunities to connect ideas and build true conceptual understanding. This course builds on previous courses using Cuisenaire Rods and bar modelling.

Contents

Teach, Do, Practise, Behave

In this section, we will look at a proposed model for planning learning episodes and not lessons.
What does equals mean?
Preview
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
Preview
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)
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...

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