Mathematical Investigations

Egg boxes

In how many different ways can two eggs be arranged in a six-pack egg box?

Egg Egg


Three eggs?

[See also Christmas Ornaments]

Investigate further.....

Investigations Home

"Some helpful hints...
1) each position can be occupied twice or 3 times or 4 times....depending on the number of eggs
2) use colours numbers or letters to represent the eggs
3)grid paper might be helpful..
More to come when we finish this..."

8A1, Ormesby School, Middlesbrough
Thursday, April 19, 2012


"I think about 29."

Monday, April 21, 2014


Do you have any starting points for mathematical investigations or comments about the investigations we have presented here?
Click here to enter your ideas.

A mathematical investigation is quite different to other mathematical activities. The best investigations are open ended and allow students to choose the way they work and how they record their findings. It is one of the few occasions when 'going off on a tangent' is not only acceptable but actively encouraged (within reason).

Students may ask for 'the answers' but this supposes that the activity is closed. Investigations can always be extended by varying the initial instructions or asking the question 'what if...?'. Sometimes students point out that the instructions are ambiguous and can be interpreted in different ways. This is fine and the students are encouraged to explain how they interpreted the instructions in their report.

Some students may benefit from a writing frame when producing the reports of their investigations. Teachers may suggest sections or headings such as Introduction, Interpretation, Research, Working and Conclusion or something similar.


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