Logical reasoning in mathematics

We all reason verbally through our inner voice, whatever language that might be in, but that limits the ideas that we can manipulate. This is the barrier that philosophers come up against. Their discipline is forever tied up in defining exactly what is meant by the words that they use. Maths has overcome this problem, because maths is a precise language, every expression in mathematics has a meaning that is precisely defined. However, like an improvement to a stretch of road which just moves the bottleneck further along, the problem in mathematics is turning a real life situations into a valid mathematical form. Happily for the school pupils the path has been trodden before, but for the professional mathematician working on intractable problems requiring new mathematical techniques it remains a great challenge. Unfortunately, for many school pupils even the trodden path turns out to be a challenge. Why should this be so? Because mathematics is not taught as being an imaginative subject. It is taught as a collection of rules that have to be followed. Puppet Maths has the purpose of reintroducing imaginative thinking into mathematics. Dreaming and imagining are fun, and once a child learns that they can do well at maths through imagination, they find maths easy, and they lose their fear of the subject making it easier still