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Jun17

Evidence-Based Education: The Story of Craig Barton

Evidence-Based Education: The Story of Craig Barton

Evidence-based education Do you suppose these beliefs are based on research results? Do you think they have some scientific foundation? The best lessons have little teacher-talk and lots of student-talk. Where possible, students should ‘discover’ things for themselves. We can teach problem-solving. Effective differentiation means giving students different work to do. The maths we teach […]

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May11

Diagnostic Questions in Mathematics Education

Diagnostic Questions in Mathematics Education

We will continue reflecting on Craig Barton’s book How I Wish I’d Taught Maths on the Smartick blog. Today, we will address the topic of diagnostic questions in mathematics education. Diagnostic Teaching Diagnostic teaching has a long tradition in mathematics education. This approach to teaching mathematics was initially developed in the 1980s, at the University […]

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Apr27

Characteristics of Purposeful Practice

Characteristics of Purposeful Practice

In this post, we are going to continue with the latest chapter of How I Wish I’d Taught Maths, by Craig Barton, about evidence-based education. Today we will discover a type of activity that can be tailored to both novice and expert learners: purposeful practice. As we have seen in a previous post, deliberate practice […]

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Mar30

Problem Solving and Independence

Problem Solving and Independence

In this post, we are going to continue analyzing the book, How I Wish I’d Taught Maths by Craig Barton about evidence-based education. Today, we will focus on problem solving. What is a problem? This is the first question we must answer before addressing the issue. Let’s see two examples. There is a school with […]

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Mar02

Why Are Examples Important When Teaching Mathematics?

Why Are Examples Important When Teaching Mathematics?

In this post, we are going to continue analyzing the book How I Wish I’d Taught Maths by Craig Barton about evidence-based education. Today we are going to highlight the role that examples play in teaching mathematics and how to use them instead of mere definitions and instrumental rules. Examples vs. Definitions It is clear […]

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Feb10

The Five Stages of Deliberate Practice

The Five Stages of Deliberate Practice

In this post, we continue with our analysis of Craig Barton’s book, How I Wish I’d Taught Maths about evidence-based education. Today we will discuss the chapter about deliberate practice and the five stages that should be followed in order to teach a complex process. When we introduce a complex process, it is necessary to […]

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Jan27

Worked Examples and Metacognition

Worked Examples and Metacognition

This is the latest post as we continue with our analysis of Craig Barton’s book, How I Wish I’d Taught Maths about evidence-based education. Today we will talk about the chapter that discusses the use of worked examples and their relation to metacognition. Together they are a fundamental element of the learning process. What Are […]

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Dec30

Self-Explanation in the Learning Process

Self-Explanation in the Learning Process

In this post, we are going to continue analyzing the book, How I Wish I’d Taught Maths by Craig Barton, which is about evidence-based education. Today we will talk about the chapter that focuses on self-explanation which is the self-reflection that takes place when you are reading or learning something. Effects of Self-Explanation Self-explanation consists of […]

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Nov25

Cognitive Load Theory and Multimedia Learning

Cognitive Load Theory and Multimedia Learning

Let’s continue with our posts about Craig Barton’s fantastic book focused on evidence-based learning in mathematics. Today I will talk to you about the fourth chapter, which focuses on cognitive load and multimedia learning. This chapter addresses how the cognitive load is fundamentally affected by different agents involved in the teaching-learning process. Cognitive Load Theory […]

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Nov04

Learning with Analogies. Are Analogies Good for Learning?

Learning with Analogies. Are Analogies Good for Learning?

We will continue talking about Craig Barton’s book, How I Wish I’d Taught Maths, in this post. As you know, the book is about evidence-based education and today we will discuss the chapter about learning with analogies. Here are some previous posts we have written about the book: Evidence-Based Education: The Story of Craig Barton […]

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Oct07

Motivation – Evidence Based Education

Motivation – Evidence Based Education

In this post, we are going to continue analyzing the book How I Wish I’d Taught Maths by Craig Barton. This book is focused on evidence-based education and today we are going to talk about the second chapter, Motivation. Motivation Models Barton explains that he was a geek and has always like mathematics. However, when he […]

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Aug26

The Relationship Between Thinking and Learning

The Relationship Between Thinking and Learning

As we said in a previous post, we are going to analyze different chapters from Craig Barton’s book, How I Wish I’d Taught Maths, about evidence-based education. Today we will speak about the first chapter which focuses on how students think and learn. A simple model for thinking and learning Barton considers it important to […]

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