In our article low threshold high ceiling an introduction we outline what we mean by low threshold high ceiling and why we like low threshold high ceiling tasks in this article we build on those ideas to discuss the key features of a low threshold high ceiling classroom.
Low floor high ceiling maths activities.
A low threshold high ceiling task is one which is designed to be mathematically accessible and to have built in extension opportunities.
We want tasks with low floors so many students can get started easily.
Problem solving maths investigations for year 1 by nick barwick hamilton provide an extensive suite of problem solving maths investigations for year 1 to facilitate mathematical confidence investigative inquiry and the development of maths meta skills in low floor high ceiling activities for all.
A high floor is a barrier.
Require an inquiry approach when solving.
A low floor is inviting.
Low floor high ceiling tasks.
Low threshold high ceiling tasks are activities that everyone in a group can begin and then work on at their own level of engagement.
But these tasks have lots of possibilities.
Low floor high ceiling math problems have multiple entry points so they are accessible to all students but they can also be solved at higher levels.
Low floor high ceiling tasks are those that all students can access but can be extended to high levels taken from you cubed.
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If the floor s too high some kids can t get started.
Chess has a high floor evidenced by how many college educated adults i ve met who cannot play.
Do not have a predetermined solution pathway in advance.
A low threshold high ceiling lthc task offers the opportunity for everyone to get started and everyone to get stuck.
Especially starting with low threshold high ceiling type problems.
These are problem solving activities which anyone could complete but where more sound maths knowledge would enable a more efficient method for solving.
Tasks present possibilities for the participants to do much more challenging mathematics.
Start planning my week.
Low floor high ceiling tasks work for everyone by definition a lfhc task is a mathematical activity where everyone in the group can begin and then work on at their own level of engagement.
In other words everyone can get started and everyone can get stuck.