Mathematical Investigation

Hula Hoops

If a number of Hula Hoops are dropped on the floor, what is the maximum number of regions they might form.

Hula Hoop

[See also Lamp-posts]

Investigate further.....

Investigations Home

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

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.

Here are some other activities you may be interested in:

Featured Activity

Jugs

Jugs

The classic problem of using two unmarked jugs to measure exactly a given quantity. The Transum version is interactive and awards a virtual trophy for each of the levels completed.

Recently Updated

Circle Theorems Exercise

Circle Theorems Exercise

Show that you understand and can apply the circle theorems with this self marking exercise. So far this activity has been accessed 6844 times and 524 people have earned a Transum Trophy for completing it.

Apple

©1997-2018 WWW.TRANSUM.ORG