How to Teach Students to Not Guess the Teacher’s Password?

Petruchio

As a teacher, I wonder if it is possible to instill this skill into students the skills of rationality and critical thinking. I teach the third grade, and it is not immediately apparent how to apply this with my own class.

The problems I foresee are as follows:

Young children often do not know the basics on the subject which they are learning, be it math, science, art, religion, literature etc.
Many children are very shy, and try to give as short of an answer as doable to a verbal prompt.
Written prompts are arduous, straining the attention span and writing capabilities of the students. This is not a bad thing, but it presents difficulties in the economy of time and material to be presented.
Attention spans in general are very short.
Experiments can be very infrequent, and nigh impossible with certain subjects.
Children, at this age, are likely to take the words of a parent or teacher at face value, and naturally parrot it back. This may be a hard habit to break.

In the sequences, it is suggested teachers should drill into students words don't count, only anticipation-controllers. How practical is this for an elementary school level? Also appreciated would be any ideas or experiences on how to do this, or how to combat the above problems. Hearing from other teachers would be excellent especially.

The problems I foresee are as follows:

Young children often do not know the basics on the subject which they are learning, be it math, science, art, religion, literature etc.
Many children are very shy, and try to give as short of an answer as doable to a verbal prompt.
Written prompts are arduous, straining the attention span and writing capabilities of the students. This is not a bad thing, but it presents difficulties in the economy of time and material to be presented.
Attention spans in general are very short.
Experiments can be very infrequent, and nigh impossible with certain subjects.
Children, at this age, are likely to take the words of a parent or teacher at face value, and naturally parrot it back. This may be a hard habit to break.

I understand the difference. What I don't understand is the odd conjunction.

so concerned with getting the right arithmetic answers that they weren't thinking about arithmetic.

I parse this as saying: because they were so (strongly) concerned with getting the right answers, they weren't thinking. If they had been less concerned with getting the right answers, they would have been thinking more.

What is the idea here? That if they didn't spend so much time, effort, or worry on memorizing, then they would have had more time to think?

I think the worry is that they are only concerned about getting the answer that gets them the good grade, rather than understanding why the answer they get is the right answer.

So you end up learning the symbols "5x5=25," but you don't know what that means. You may not even have an idea that corresponds to multiplication. You just know that when you see "5x5=" you write "25." If I ask you what multiplication is, you can't tell me: you don't actually know. You are disconnected from what the process you are learning is supposed to be tracking, because all you have learned is to put in symbols where you see other symbols.

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How to Teach Students to Not Guess the Teacher’s Password?

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How to Teach Students to Not Guess the Teacher’s Password?

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