Mathematics for Teaching Category: Teaching mathematics

Category: Teaching mathematics

How to orchestrate a mathematically productive class discussion

Show and tell activity (aka lecture method) may work for some but never in a mathematics class. Getting students to explain and ask questions are nice but only when the explanation and the questions are mathematical. Reasoning and justifying are good habits of mind but they are only productive if they are based on mathematical…

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Three ways to teach math algorithms or procedures

It is a bunch of procedures. That’s how people perceive algorithms are. And they are right. Algorithm has been defined as 1) “step-by-step procedures that are carried out routinely”; 2) “a precisely-defined sequence of rules telling how to produce specified output information from given input information in a finite number of steps”. It is no…

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Math Knowledge for Teaching

The mathematics that engineers, accountants, etc and teachers of mathematics know are different. They should be. There are some engineers, accountants, chemists, etc who become very good mathematics teachers but I’m sure it is not because they have ‘math knowledge for engineering’ for example but because they were able to convert that knowledge to ‘math…

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What is variation theory of learning?

Variation theory of learning was developed by Ference Marton of the University of Gothenburg. One of its basic tenets is that learning is always directed at something – the object of learning (phenomenon, object, skills, or certain aspects of reality) and that learning must result in a qualitative change in the way of seeing this “something” (Ling & Marton, 2011)….

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George Polya’s Ten Commandments for Teachers

This is George Polya’s 10 commandments for teachers: 1. Be interested in your subject. 2. Know your subject. 3. Know about the ways of learning: The best way to learn anything is to discover it by yourself. 4. Try to read the faces of your students, try to see their expectations and difficulties, put yourself…

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