Mathematical Investigations

Design a badge

You have been asked to design a new badge.

The badge must be rectangular in shape and the design symmetrical. Your design must be based upon squares. Your badge can have a maximum of 3 colours.

How many different badges can you make?

[See also Transum Club]

Investigate further.....

Investigations Home

"My children thought about if it was one line of symmetry only or how many."

Rose,
Sunday, December 23, 2012

 

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.

Apple

©1997-2017 WWW.TRANSUM.ORG