Introduction to standard index form/teaching approach: Difference between revisions

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Standard Index Form is a key idea for mathematicians and scientists. The notion that we deliberately write numbers in a way that is not immediately obvious to pupils is one that requires some thought; this is a way for pupils to discover and {{tag|investigate}} for themselves how standard index form works in a {{tag|problem solving}} way, encouraging them to engage in {{tag|mathematical thinking}}.
The Standard Index Form is a key idea for mathematicians and scientists. The notion that we choose to write numbers in this way requires some explanation. So in this activity, pupils take part in an {{teachtag|investigation}} on how standard index form works. This is a {{teachtag|higher order}} problem solving context where students are encouraged to engage in {{teachtag|mathematical thinking}}. They may be involved in {{teachtag|whole class}} or small {{teachtag|group work}} {{teachtag|discussion}}, so they have a good opportunity to practice using mathematical {{teachtag|language}} and {{teachtag|questioning}}.
 
This means that students do not need to be able to explain their ideas in full: they can use the calculator's feedback to discover whether their ideas are correct or not. This is also an exciting way for pupils to realise an initial idea that fits the data may need to be extended when new data arises. This resource therefore aims to develop investigative skills, as well as introduce pupils  to standard index form in a memorable way. The pupils can later use their knowledge of indices in {{teachtag|discussion}} and {{teachtag|group talk}} as they explain what is happening.
This means they do not need to be able to explain it in full, but can use clues and instant feedback provided by a calculator to discover whether their ideas are correct or not. This is also an exciting way for pupils to realise that their initial ideas may fit the data they have up to that point, but that these ideas may need to be changed or extended as new ideas arise.
 
This resource, therefore, aims to support pupils in their development of investigative skills, as well as introducing them to standard index form in a way that is memorable. After this introduction the pupils can use their knowledge of indices to engage in {{tag|discussion}} and {{tag|group talk}] to explain what is going on and why it works.

Latest revision as of 15:27, 29 October 2012

The Standard Index Form is a key idea for mathematicians and scientists. The notion that we choose to write numbers in this way requires some explanation. So in this activity, pupils take part in an investigation(ta) on how standard index form works. This is a higher order(ta) problem solving context where students are encouraged to engage in mathematical thinking(ta). They may be involved in whole class(ta) or small group work(ta) discussion(ta), so they have a good opportunity to practice using mathematical language(ta) and questioning(ta). This means that students do not need to be able to explain their ideas in full: they can use the calculator's feedback to discover whether their ideas are correct or not. This is also an exciting way for pupils to realise an initial idea that fits the data may need to be extended when new data arises. This resource therefore aims to develop investigative skills, as well as introduce pupils to standard index form in a memorable way. The pupils can later use their knowledge of indices in discussion(ta) and group talk(ta) as they explain what is happening.