The clip above illustrates an unconventional treatment of the Hilbert Hotel paradox, based on the Arithmetic of Infinity. The classical formulation of the paradox is nicely given in animated form by an Open University clip. 
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Below is a list of useful teaching resources for teachers and students, which will be regularly updated. 

• A Very Simple Introduction to the Arithmetic of Infinity: this is a set of slides used for a talk at a teachers conference, which offers an accessible and intuitive presentation of the main ideas underlying the Arithmetic of Infinity.
• First Steps in the Arithmetic of Infinity: this is a 28 page booklet with exercises designed to guide committed Year 12 or later students through the basics of the Arithmetic of Infinity and several applications to various paradoxes of infinity. Whilst the first chapter is a pre-requisite to everything that follows, the remaining chapters are independent and teachers could extract bits from them rather freely, to use them for class activities. A booklet with answers is currently in preparation.  
• Primi passi nell'Aritmetica dell'Infinito [ITA]:  this is a 108 page text that covers the basic ideas of the Arithmetic of Infinity, discusses sequences and series and contains a set of six worksheets that can be used by teachers in school activities. Solutions to exercises available upon request.
• A set of worksheets on Thomson's Lamp: this set of worksheets has been used in several workshops, it does not require preliminary knowledge and can be used in a 2-hour class activity. 
• A school talk about Ross' Paradox: this is a set of slides used to introduce school students at Norwich High School for Girls to a treatment of Ross' paradox that relies on the Arithmetic of Infinity.
• A school talk on the Koch Snowflake: this is a set of slides used to introduce sixth formers to a numerical determination of the perimeter and area of the Koch Snowflake.