We often do not make the most of our students' potential to create powerful mental images. This set of tasks is intended to challenge students to work with their own and others' mental images and record their visualisations in order to solve the problems.
The solutions may not be immediately obvious, but we hope the engaging contexts will encourage students to persevere.
The solutions may not be immediately obvious, but we hope the engaging contexts will encourage students to persevere.
problem
Favourite
Frogs
Age
11 to 14
Challenge level
How many moves does it take to swap over some red and blue frogs? Do you have a method?
problem
Ace, two, three...
Age
11 to 14
Challenge level
Can you picture how to order the cards to reproduce Charlie's card trick for yourself?
problem
Favourite
Constructing triangles
Age
11 to 14
Challenge level
Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?
Visualising and Representing is part of our Developing Mathematical Thinking collection.
In Developing Mathematical Thinking - Visualising and Representing, we offer guidance on how students can be given opportunities to make sense of mathematical ideas.
The tasks below can be used to introduce learners to a variety of helpful representations.
