Asking about shoes


The purpose of this activity is to engage students in setting up for a statistical investigation by posing a question within the context given.

Achievement Objectives
S1-1: Conduct investigations using the statistical enquiry cycle: posing and answering questions; gathering, sorting and counting, and displaying category data; discussing the results.
Description of Mathematics

In readiness for this problem, the students should have familiarity with each of the following components of mathematics. The problem may be solved with different combinations of these components.

  • Carrying out an investigation
  • Investigating to answer a (statistical) question
  • Posing a (statistical)question
  • Considering possible responses to a (statistical) question

This activity may be carried out with guidance, or by allowing the student to follow their own chain of reasoning. The approach should be chosen in sympathy with students’ skills and depth of understanding. The most likely form of feedback/evidence from the student in this activity is via discussion. 



Some teachers like students to take their shoes off at the door, to keep the splashes from muddy puddles out of the classroom.

Find out about what you could expect to see piled up at the classroom door if your teacher asked you all to take your shoes off there.

  • Pose a question to investigate
  • What sort of answer(s) do you expect to get?


The procedural approach (show more)

  • The student is able, with guidance, to pose a suitable question for investigation and to suggest possible responses.

The conceptual approach (show more)

  • The student is able to pose a question for investigation and to suggest possible responses.

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