Discussing the meaning of “almost” with an 8 year old

I had previously mentioned that my children are very picky and slow eaters.  This creates much frustration for me, but at the same time has been on multiple occasions inspiration for interesting math conversations.

Yesterday, Katie was eating a cutlet for dinner, and I, as usual, was trying to make her hurry up a bit.

K: I’m almost done with it.

I look at the cutlet and notice that there is still almost half of it left.

Me: What fraction of the cutlet do you think must be remaining for you to be “almost done with it”?

K: I think a third.

Me: Why a third?

K: Because a third feels so much smaller than a half.

Me: Well, you definitely have more than a third left.

K: (taking a big bite) Not any more.

She went back to chewing, very slowly of course, and I thought the conversation was over.  But about 5 minutes later, when she was still not finished with the cutlet, Katie suddenly decided to resume the conversation.

K: Mom, if someone could eat the whole cutlet in just one bite, could they say that they’re almost done with it before they take the bite?

Me: I don’t know.  Can you be almost done with something before you even start?

K: Because if they can’t say it before they take the bite, they can never say it, because after taking the bite they will be fully done with the cutlet!

I couldn’t argue with her there.

So what do you think, does “being almost done with a task” depend on how quickly you do it or just on what fraction of it you have already done?

Advertisements

About aofradkin

I enjoy thinking about presenting mathematical concepts to young children in exciting and engaging ways.
This entry was posted in Uncategorized and tagged , , , . Bookmark the permalink.

10 Responses to Discussing the meaning of “almost” with an 8 year old

  1. howardat58 says:

    The tortoise and the hare might get Katie’s brain exercised !

    Like

  2. I think she outfoxed you.

    Like

  3. Joe Schwartz says:

    What a great conversation! I love both your question (Can you be almost done with something before you start?) and Katie’s thinking that if you ate it in one bite, you could never say you’re almost done. It all comes down to context. Almost is a fascinating word, as I learned earlier this year:
    http://exit10a.blogspot.com/2017/03/it-depends-on-meaning-of-almost.html

    Like

  4. Jay says:

    Depends on how the rate of consumption changes with the proportion remaining!

    Like

  5. bovetsky says:

    Think of the following situation. If a procrastinator (any of us :-)) has a project due tomorrow but he did not start it yet. The boss calls, and the guy says “I am almost done”. So psychologically it is a typical situation.

    Like

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s