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Applying mathematics to problem solving : Adult Learning : Mathematics Content Knowledge

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Applying mathematics to problem solving
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1. How confident are you that you can help adult learners to:

a. conjecture or hypothesise?


A conjecture is a mathematical statement which seems likely to be true, but has not been proved to be true under rules of logic. It is usually based on some but not complete evidence. For example, learners may conjecture that there are equal numbers of odd and even numbers lying between 0 and 20 (which is untrue), or that it is impossible to draw a shape with four straight sides with exactly three right angles (which is true).

Learners may form a hypothesis about the outcome of an enquiry or an investigation, which they then test. Examples of hypotheses might be that houses in the suburbs of large cities are more expensive than houses in rural places, or that young people spend more time on the internet than older people.

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