Mistakes – are they essential to learning? Click here for the full article.  

There is a link between the degree to which children are willing and able to talk about mathematics and their capacity to understand which should be used in the classroom to promote learning. Cli...

Its not what you do but how you do it that is important Selecting activities that will promote learning and give opportunities to develop life skills such as working collaboratively or indepen...

Cognitive obstacles are difficulties which learners come up against in their thinking because of the complexity of the idea or topic. They are also known as epistemological obstacles because they i...

The means of variables behave very intuitively, but not so the variances, and many pupils find this very difficult to really come to terms with. Even if they can say the right words when asked it expl...

A question or problem presented by the teacher to the student, in which students can produce a first instance solution that, by design of the question, will not be wrong.   For the f...

Cognitive obstacles are difficulties which learners come up against in their thinking because of the complexity of the idea or topic. They are also known as epistemological obstacles because they i...

Shifting the focus of learning There is a link between the degree to which children are willing and able to talk about mathematics and their capacity to understand which should be used in the ...

In order for learners to understand the mathematics they are studying it may be necessary for them to verbalise their thoughts. Some learners need to verbalise a mathematics task in order to be able t...

The ethos and atmosphere of the setting are the most important contributors to the learning environment. There are many, many examples of lists of ‘must have’ resources for any ear...

When planning a lesson, it is useful to imagine what types of errors or inappropriate conjectures learners might learners so as to have a response prepared Some errors are slips, where attenti...

Is a square a rectangle? Yes, but it's a special rectangle. So shouldn't we be more careful about what we call a non-special rectangle?   For the full article click here.

With limited experience, a plausible generalisation may turn out later to be misleading and false. It is quite natural for young children to associate ‘making bigger’ with adding. ...

Cognitive obstacles are difficulties which learners come up against in their thinking because of the complexity of the idea or topic. They are also known as epistemological obstacles because they i...

So what does honesty and integrity in mathematics look like in the classroom?   For the full article click here.

Mathematics cannot be learnt without language Whilst mathematics might be considered to be a language in its own right the demands it makes of the use of language by learners can be considerab...

A question or problem presented by the teacher to the student, in which students can produce a first instance solution that, by design of the question, will not be wrong.   For the full ...

What instigates or initiates learning? A plausible conjecture is that it is some sort of disturbance, in the form of a surprise, an unmet expectation, a lack of fit between habit and a new situatio...