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The use of worked examples

We're all familiar, I'm sure, with the use of worked-out examples in mathematics teaching. Worked-out examples are often used to demonstrate problem-solving processes. They generally specify the steps needed to solve a problem in some detail. After working through such examples, students are usually given the same kind of problems to work through on their own. The strategy is generally helpful in teaching students to solve problems that are the same as the examples.

Types of reading disability

A longitudinal study that used imaging to compare brain activation patterns has identified two types of reading disability:

I recently reported on a study showing how the gestures people made in describing how they solved a problem (the Tower of Hanoi) changed the way they remembered the game. These findings add to other research demonstrating that gestures make thought concrete and can help us understand and remember abstract concepts better.

Back in 2010, I read a charming article in the New York Times about a bunch of neuroscientists bravely disentangling themselves from their technology (email, cellphones, laptops, …) and going into the wilderness (rafting down the San Juan River) in order to get a better understanding of how heavy use of digital technology might change the way we think, and whether we can reverse the problem by immersing ourselves in nature.

When considering what will be the most effective strategies for you, don't forget the basic principles of memory:

(1) Repetition repetition repetition

The trick is to find a way of repeating that is interesting to you. This is partly governed by level of difficulty (too easy is boring; too difficult is discouraging). The point is to find an activity (more than one, in fact), which enable you to hold on to your motivation through sufficient repetitions to drive them into your head. Bear in mind, too, the importance of:

(2) Changing context

Here’s an interesting study that’s just been reported: 72 seven- and eight-month-old infants watched video animations of familiar fun items being revealed from behind a set of colorful boxes (see the 3-minute YouTube video).

To use a strategy effectively, you need to understand why it works, how it works, when it works and when it doesn’t.

For example, all students take notes — not everyone knows how to do it well. Research into the effectiveness of note-taking has found — surprise, surprise — that sometimes note-taking helps you remember information, and sometimes it doesn’t1.

I recently read an interesting article in the Smithsonian about procrastination and why it’s good for you. Frank Partnoy, author of a new book on the subject, pointed out that procrastination only began to be regarded as a bad thing by the Puritans — earlier (among the Greeks and Romans, for example), it was regarded more as a sign of wisdom.

There is a very common form of forgetfulness that is not really a failure of memory. When we get in our car to drive to place A and find ourselves instead on the road to the more familiar place B, this is not a failure of memory. When we clear the table and find ourselves putting the margarine in the dishwasher or the dirty plate in the fridge, this is not a failure of memory. When we go into a room intending to do one thing and do something else instead, this is not, really, a failure of memory.

Impaired vision is common in old age and even more so in Alzheimer’s disease, and this results not only from damage in the association areas of the brain but also from problems in lower-level areas. A major factor in whether visual impairment impacts everyday function is contrast sensitivity.