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Ahead, Not Alone

A calm short course for the parent of a child who races ahead in one subject: what the research says about moving faster, depth before speed, finding other curious children, and when to do nothing at all.

Spark & Whetstone · sparkwhetstone.org/learn/ahead-not-alone · CC BY-NC-SA 4.0. Answers are at the end, so you can try each question first.

Lesson 1. What the research says

Studies of children who are allowed to move ahead in a subject, by skipping a year or taking a class early, have mostly found that they do well, both in that subject and socially, when the move is planned with them.

The studies also find that it matters how it is done: one subject at a time, with a teacher who agrees, and with the child wanting it.

None of this is a label. A child can be far ahead in maths and right where you would expect in reading, and both are fine.

Question. According to the research, what usually matters most when a child moves ahead?

  1. That they move ahead in every subject at once.
  2. That it is planned with the child and their teacher, often one subject at a time.
  3. That they are told they are special.

Say it back. In your own words: what would you want in place before your child moved ahead in a subject?

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Lesson 2. The mind can run ahead of the hands

A child may understand an idea years before they can write it down neatly, sit still for it, or cope with getting it wrong in front of others.

That gap is normal. It is why a six-year-old who can reason about negative numbers may still cry over a wobbly line.

Meeting the mind where it is, while letting the hands and feelings grow at their own pace, is usually kinder than pushing both.

Question. Your child explains a hard idea beautifully but melts down when asked to write it. What is most likely?

  1. They do not really understand it.
  2. Their understanding is ahead of their writing, which is common.
  3. They are being difficult on purpose.

Say it back. Say it back: where in your child do you see the mind running ahead of the hands?

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Lesson 3. Depth before speed

Racing through next year's worksheets is one way to go further. Going deeper is another: the same idea, but harder questions about it, puzzles with no quick method, explaining why something always works.

Depth tends to keep a curious child interested for longer, and it avoids the problem of a child who has done everything and is bored in class.

A good deep question is one you can ask about almost anything: "Does that always work? Can you find one where it doesn't?"

Question. Your child has finished the class work early again. Which is the deeper next step?

  1. Give them next year's textbook.
  2. Ask whether the rule they used always works, and challenge them to find one where it does not.
  3. Time them to see if they can be faster.

Say it back. In your own words: what is one deep question you could ask your child this week?

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Lesson 4. Find a circle, and know when to wait

Curious children often most need other curious children. A maths circle, a chess club or a coding group gives them people to think with, which matters as much as harder work.

You can start one: three families, a problem a week, a kitchen table. You do not need to know the answers; you need to ask "how did you get that?"

And sometimes the right move is no move. If your child is happy, interested and has friends, more is not always better. Waiting is a decision too.

Question. Your child is happy, has friends and loves their maths puzzles at home. What is a reasonable choice?

  1. Add more classes so they do not fall behind other fast children.
  2. Keep things as they are, and perhaps find one other curious child to puzzle with.
  3. Stop the puzzles so they fit in.

Say it back. Say it back: what would make you decide to do nothing for now?

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At the table: A kitchen-table circle

Players: 2 to 4 families, children of mixed ages. You'll need: One puzzle printed for each child, paper, and a timer you never look at.

  1. Read one puzzle aloud, such as "how many squares are there on a chessboard, counting every size?".
  2. Everyone works alone for a while, then in pairs.
  3. Each pair explains how they started, not just their answer. Grown-ups only ask "how did you get that?".
  4. End with one question nobody solved, to take home.

Answers

  1. That it is planned with the child and their teacher, often one subject at a time. — Planned, subject-by-subject moves, agreed with the child and teacher, are the pattern the research supports.
  2. Their understanding is ahead of their writing, which is common. — Understanding and the physical work of writing grow at different speeds. Let them say it, draw it or build it while the writing catches up.
  3. Ask whether the rule they used always works, and challenge them to find one where it does not. — Asking whether a rule always works keeps the idea and goes deeper into it, which is where real mathematical thinking starts.
  4. Keep things as they are, and perhaps find one other curious child to puzzle with. — When things are going well, a small addition, such as a friend to think with, is often better than a big change.