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[General teacher guide]

The activity sequence summary can be found here.

Related worksheets:

Many of these worksheets have been translated to Bulgarian.

Cardinality worksheets 1

Cardinality worksheets 2

Cardinality worksheets 3 

Activity 3 has a Report Template that is here.

Cardinality worksheets 4

Cardinality worksheets 5

Cardinality worksheets 6

Cardinality worksheets 7 (this one has more to do with density than cardinality and can be skipped if pressed for time)

Activity 7 has a Report Template that is here.

Cardinality worksheets 8

There is also an activity based upon the ideas of Hotel Infinity that is based upon interactive puzzles. Teacher guidance for it is here.

 

Learning snapshots, Pedagogical advice and teaching tips


Special guidance to teachers are included as Word comments in the worksheets. By default are not printed. Change Word from "Final" to "Final showing Markup" to print or view the comments.

The Resort Infinity tool is here and teacher guidance for it is here.

General background

Exploring the cardinality of infinite sets including the natural numbers, integers, even numbers, fractions, rational numbers, and real numbers. The cardinality of infinite sets is an important part of mathematics. The topic is full of surprises and apparent contradictions that have confused mathematicians and philosophers for millennia.

Historical background on cardinality can be found here.




Title Author Modified Description
Pedagogic advice: Cardinality Activities (0) Ken 11-05-05 Overview of the Cardinality Activities
Pedagogic advice: Resort Infinity Guide (0) Ken 11-05-05 Guidance for the Resort Infinity challenges
Historical notes on cardinality (0) Sofia 04-05-05 The notions of "sets" and "cardinality" are given from historical persepctive
Cardinality_Activity 2 (in Bulgarian) (0) Sofia 12-04-05 Adaptation of the worksheet of Activity 2 (in Bulgarian)
Zeno's paradox and infinite series (0) minehaha 07-07-04 modelling zeno's paradox by an infinite series