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Dots and boxes

In order to get to know each other and introduce the project subject matter in a short and fun way, pupils play together online to solve mathematical and real world problems involving numerical patterns and functional relationships.

 

Age Group:      13-15 or 16-18 years
Level:              Medium
Duration:          3-6 hours
ICT tools:         TwinSpace, Audacity, Camstudio, Geogebra
 
 
 
Pedagogical Objectives
 
To develop ICT and communication skills, develop pupils’ inductive and deductive thinking by providing environments rich in language, encourage thinking and support exploration.
 
 
Process
 
Pupils play Dots-and-Boxes, a two player paper-and-pencil game. The players begin with a grid of dots (7x7 dots is the most common). The players then take turns drawing vertical or horizontal lines between two adjacent dots. Each time player makes a box, he/she puts his/her name in it or colours it. The winner is the one with the most boxes.
 
Teachers provide pupils with web tools or using Geogebra to allow them to play using web resources in a collaborative way. Though a traditional children's game, mathematicians recognised the true potential of this game and have achieved interesting mathematical results.
 
 
Outcomes
 
Pupils compare the results of their games and discuss the best strategies in order to win. They then discuss ideas for future project activities.
 
Teachers assist the pupils in their online discussions (forums, chats, video conferencing) and upload the final game sheets. They then encourage their pupils to discuss with their partners and support them in coming up with new ideas on their own.
 
 
Tips
 
To play Dots and Boxes with other people on the internet, see either:
 
The activity proposed above is a part of two longer project kits:
 
  • Digital Interactive mathematics which deals with the use of the digital whiteboard in maths school lessons
  • From Luca Pacioli to Evariste Galois which follows the history of Europe through the lives of famous European algebraists.
 
 
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  • Web Editor: Palmira Ronchi
  • Published: 25.09.2008
  • Last changed: 12.08.2009
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