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Two large-scale international studies have become established to compare countries' performance in the core subjects of literacy, mathematics and science.

TIMSS: Trends in International Mathematics and Science Study

TIMSS is an international study involving 50 countries that assesses math and science achievement at four year intervals. It has been running since 1995. Students are assessed in the 4th and 8th years of school, and in their final year. The next assessment round will be in 2007.

Children’s understanding, and their use of memory and learning strategies, is a considerably more complex situation than most of us realize. To get some feeling for this complexity, let’s start by looking at a specific area of knowledge: mathematics.

Children's math understanding

Here’s a math problem:

Pete has 3 apples. Ann also has some apples. Pete and Ann have 9 apples altogether. How many apples does Ann have?

This seems pretty straightforward, right? How about this one:

When we are presented with new information, we try and connect it to information we already hold. This is automatic. Sometimes the information fits in easily; other times the fit is more difficult — perhaps because some of our old information is wrong, or perhaps because we lack some of the knowledge we need to fit them together.

Subliminal learning achieved notoriety back in 1957, when James Vicary claimed moviegoers could be induced to buy popcorn and Coca-Cola through the use of messages that flashed on the screen too quickly to be seen. The claim was later shown to be false, but though the idea that people can be brainwashed by the use of such techniques has been disproven (there was quite a bit of hysteria about the notion at the time), that doesn’t mean the idea of subliminal learning is crazy.

Widely cited gender differences in cognition

It is clear that there are differences between the genders in terms of cognitive function; it is much less clear that there are differences in terms of cognitive abilities. Let me explain what I mean by that.

It's commonly understood that males have superior spatial ability, while females have superior verbal ability. Males are better at math; females at reading. There is some truth in these generalizations, but it's certainly not as simple as it is portrayed.

Many people, particularly as they get older, have concerns about short-term memory problems: going to another room to do something and then forgetting why you’re there; deciding to do something, becoming distracted by another task, and then forgetting the original intention; uncertainty about whether you have just performed a routine task; forgetting things you’ve said or done seconds after having said or done them; thinking of something you want to say during a conversation, then forgetting what it was by the time it’s your turn to speak, and so on.

To use note-taking effectively, you need to understand that its primary value is not in the record you produce, it is in the process itself. The process of taking notes guides the memory codes you make. Note-taking is a strategy for making information meaningful. It is therefore only effective to the extent that you paraphrase, organize and make sense of the information while taking notes.

Knowing a number of effective strategies for reading and note-taking, practicing and memorizing, is vital, but it's not the whole story. There is also a category of strategies we might term 'support' strategies. These include strategies aimed at setting goals, managing time and effort, and monitoring your performance and progress. In study, these come under the concept of self-regulation, which is related to the more general concept of metamemory.

Recently a “Framework for Success in Postsecondary Writing” came out in the U.S. This framework talked about the importance of inculcating certain “habits of mind” in students. One of these eight habits was metacognition, which they defined as the ability to reflect on one’s own thinking as well as on the individual and cultural processes used to structure knowledge.

K. Anders Ericsson, the guru of research into expertise, makes a very convincing case for the absolutely critical importance of what he terms “deliberate practice”, and the minimal role of what is commonly termed “talent”. I have written about this question of talent and also about the principles of expertise. Here I would like to talk briefly about Ericsson’s concept of deliberate practice.