Working with Children on Activity 8

 

3 children tried it. All got it!

 

Roger (11) wrote:

The Diagonal team works like the first number you give them comes out when you have put two numbers next time but only the second number comes. The same for the rest but only you have to put three in and only the third comes out.

 

Is it possible for the resulting sequence to be the same as one of the incoming sequences? (Two sequences are the same if they produce the same numbers in the same order.)

Roger (11) wrote:

Yes No because Add One numbers can go on the input side but won't come [out] the same.

Tom (13) wrote:

Yes because you add with the sequence. No, when you want a number to be in a sequence it'll always be 1 more. Hard to explain.

While Susan (13) wrote:

Yes, e.g. s1: 1, 2, 3, 4, 5          0, 1, 2, 3

               s2: 0.5, 2, 8,          0.5, 1, 1.5, 2

               s3: 2.3, 2.6, 3,

No, you

s1: 1, 2, 3, 4, 5

s2:     2

No, because for a number to be in both sequences it needs to be the same as itself +1.

 

Susan and Tom's web report

title | why | what | why toontalk | activities | rationale 1 | activity 1 | findings 1 | rationale 4/5 | activity 4 | activity 5 | findings 4/5 | rationale 8 | activity 8 | findings 8 | conclusions