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Connecting mathematics with the real world

Connecting mathematics with the real worldcuree.co.uk/files/RMGwEUpdated/Resources/Connecting maths with … · between mathematics and the real world How could you help to provide

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Page 1: Connecting mathematics with the real worldcuree.co.uk/files/RMGwEUpdated/Resources/Connecting maths with … · between mathematics and the real world How could you help to provide

Connecting mathematics with

the real world

Page 2: Connecting mathematics with the real worldcuree.co.uk/files/RMGwEUpdated/Resources/Connecting maths with … · between mathematics and the real world How could you help to provide

Key issue addressed by the study

This study set out to explore:

– whether and how teachers used real-world connections in mathematics lessons

Page 3: Connecting mathematics with the real worldcuree.co.uk/files/RMGwEUpdated/Resources/Connecting maths with … · between mathematics and the real world How could you help to provide

What the study found

Teachers:

– rarely connected mathematics problems to the

world of work

– did not feel prepared for making connections

– viewed their task mainly as imparting mathematical

skills rather than in applying mathematics

– avoided “language complex tasks” students that

might prove too challenging for students

Page 4: Connecting mathematics with the real worldcuree.co.uk/files/RMGwEUpdated/Resources/Connecting maths with … · between mathematics and the real world How could you help to provide

Characteristics of real-world examples

teachers did use

Key features:

Teacher created from texts

– some found this difficult

Occasionally built on

students’ comments

Teacher adaptations

conceptual rather than

contextual

Not language-intensive

“Under-challenging” rather

than “over-challenging”

Page 5: Connecting mathematics with the real worldcuree.co.uk/files/RMGwEUpdated/Resources/Connecting maths with … · between mathematics and the real world How could you help to provide

Types of real-world examples used by

teachers

Three main types commonly used:

– student - solved “word problem” eg calculating

quantities of manufactured objects

– examples referred to in teacher presentation eg

parabolic mirrors in car headlights

– extended challenge to be carried out as a project

Page 6: Connecting mathematics with the real worldcuree.co.uk/files/RMGwEUpdated/Resources/Connecting maths with … · between mathematics and the real world How could you help to provide

Who were the participants in the study?

62 secondary mathematics teachers

Page 7: Connecting mathematics with the real worldcuree.co.uk/files/RMGwEUpdated/Resources/Connecting maths with … · between mathematics and the real world How could you help to provide

How was the information gathered?

A survey of 62 mathematics teachers

Observation of 5 teachers in lessons likely to involve

real-world connections with mathematics

Comparing the outcomes from the survey with the

observations

Page 8: Connecting mathematics with the real worldcuree.co.uk/files/RMGwEUpdated/Resources/Connecting maths with … · between mathematics and the real world How could you help to provide

How can teachers use the evidence in

this study?

Most real-world connections teachers used were

teacher-originated, but some teachers were able

to work with comments by students

Could you recruit a group of older/more able

students to help you construct some real-world

problems for students as an extension activity?

You might consider an activity which encourages

your students to draw on their own experiences,

and use their responses for planning the next

session

Page 9: Connecting mathematics with the real worldcuree.co.uk/files/RMGwEUpdated/Resources/Connecting maths with … · between mathematics and the real world How could you help to provide

How can school leaders use the

evidence in this study?

Teachers in the study reported a lack of training/resources for making connections between mathematics and the real world

How could you help to provide your mathematics teachers with a starting point to including more and better real-world connections in their lessons? Can you identify members of staff who do this well and could take a lead helping other teachers develop their practice?

Page 10: Connecting mathematics with the real worldcuree.co.uk/files/RMGwEUpdated/Resources/Connecting maths with … · between mathematics and the real world How could you help to provide

Follow-up reading

Study reference: Julie Gainsburg (2008): Real-world connections in secondary mathematics teaching Journal of Mathematics Teacher Education, Vol. 11, No.3, pp 199-219

The full summary is available here: https://eric.ed.gov/?id=EJ796464

Page 11: Connecting mathematics with the real worldcuree.co.uk/files/RMGwEUpdated/Resources/Connecting maths with … · between mathematics and the real world How could you help to provide

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