## The use of brainstorming sessions can be useful to generate ideas. In particular, the use of a mind map has been shown to be useful in helping students to generate thoughts on this. The mind map below illustrates how, starting with the stimulus “water”, some possible foci for a mathematical exploration could be generated.

## Students sometimes find it difficult to know where to start with a task as open-ended as the exploration. While it is hoped that students will appreciate the richness of opportunities for mathematical exploration, below is a stimulus as a means of helping students to get started on their explorations.

__Possible stimuli that could be given to the students include:__

sport, archaeology, computers, algorithms, cell phones, music, sine, musical harmony, motion, electricity, water, space, orbits, food, volcanoes, diet, games, symmetry, architecture, codes, the internet, communication, population, agriculture, viruses, health, dance, geography, biology, business, economics, physics, chemistry, information technology in a global society, psychology

## IMPORTANT DEADLINES

## Student Exploration Exemplars

exploration-surface_area_of_water_in_a_tilted_cylinder.pdf | |

File Size: | 2630 kb |

File Type: |

exploration-catalan_numbers_and_their_applications.pdf | |

File Size: | 4551 kb |

File Type: |

exploration-magical_numbers.pdf | |

File Size: | 5190 kb |

File Type: |

exploration-lucas_numbers.pdf | |

File Size: | 293 kb |

File Type: |