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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:

A general distinction you can make is that between:

  • direct study, and
  • learning from context

Direct study is more important when you're learning a non-cognate language. It's also more important in the initial stages of learning a language. Learning from context is particularly useful for cognate languages.

Of course learning a language requires both approaches, but the relative proportions will vary.

I don’t often talk about motor or skill memory — that is, the memory we use when we type or drive a car or play the piano. It’s one of the more mysterious domains of memory. We all know, of course, that this is a particularly durable kind of memory. It’s like riding a bicycle, we say — meaning that it’s something we’re not likely to have forgotten, something that will come back to us very readily, even if it’s been a very long time since we last used the skill.

There hasn't been a lot of research into the effects of herbs and spices on cognition and the brain, unfortunately. But on the positive side, the risk of side-effects is very low, so we don't need a lot of evidence for it to be worth trying.

Compulsory Education: When it starts and how long it lasts

Around the world, for the most part, compulsory schooling starts at 6, although some start at 7, and a very few at 5 or even younger. There is less consensus about how long compulsory education should last, but 9 years is the most common length, with 10 years running a close second.

As I said in my discussion of different scripts, Russian uses the Cyrillic alphabet. Here it is (the 3rd column shows the English counterpart):

А  а   a

Б  б   b

В  в   v

Г  г   g

Д  д   d

Е  е   ye

Remembering a skill is entirely different from remembering other kinds of knowledge. It’s the difference between knowing how and knowing that.

I was listening on my walk today to an interview with Edward Tufte, the celebrated guru of data visualization. He said something I took particular note of, concerning the benefits of concentrating on what you’re seeing, without any other distractions, external or internal. He spoke of his experience of being out walking one day with a friend, in a natural environment, and what it was like to just sit down for some minutes, not talking, in a very quiet place, just looking at the scene.

Learning a new language is made considerably more difficult if that language is written in an unfamiliar script. For some, indeed, that proves too massive a hurdle, and they give up the attempt.

At the same time as a group of French parents and teachers have called for a two-week boycott of homework (despite the fact that homework is officially banned in French primary schools), and just after the British government scrapped homework guidelines, a large long-running British study came out in support of homework.