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Albert Einstein once wrote :

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I am only very, very curious. ... Carpet Sales. A shop increased the price of its carpets by 20% Sales of the carpets dropped by 20% Did the shop's profits from ... – PowerPoint PPT presentation

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Title: Albert Einstein once wrote :


1
  • Albert Einstein once wrote
  • I am neither especially clever nor especially
    gifted. I am only very, very curious.
  • Being responsible for and accountable to the
    more able pupils in our school is about
    developing and feeding their curiosity.

2
More able in Maths
  • Definitions
  • Skills of More able mathematicians
  • Gifted and Talented mathematicians
  • Aims of Identifying More able and GT
  • Provision offered in maths
  • Extending the more able
  • Enrichment opportunities for the more able
  • Toolkit for Parents

3
Definitions
  • More Able learners who are likely to absorb
    new ideas, apply their skills confidently and may
    tackle problems using creative and original
    approaches. They show persistence and flexibility
    when searching for solutions with a willingness
    to try different methods.
  • Approx the top 20 of the cohort is identified as
    being more able in maths.

4
What skills do the More able show
  • They ask questions that show clear understanding
    and curiosity.
  • They are adept at posing their own questions.
  • They can make connections between the mathematics
    they have learnt.

5
Definitions
  • Gifted' learners are those who have abilities in
    one or more academic subject, such as Maths and
    English.
  • Talented' learners are those who have practical
    skills in areas such as sport, music, design or
    creative and performing arts .

6
What makes a Gifted and Talented mathematician?
  • Learn and understand mathematical ideas quickly
  • Have an enthusiastic and creative approach to
    solving mathematical problems
  • Think logically and make connections with the
    concepts they have learned.
  • Successfully apply their mathematical knowledge
    to new or unfamiliar contexts
  • Have higher levels of thinking skills to pursue
    there own investigation and lines of enquiry.
  • Ask questions that show a clear understanding of,
    and curiosity, about their mathematical learning.
  • Can communicate their reasoning and justify their
    methods/strategy
  • Sustain their concentration throughout longer
    tasks and persevere in seeking solutions
  • Maths Faculty

7
What makes a Gifted and Talented mathematician?
  • Has a fascination and curiosity for maths
  • Has a questioning attitude and probes for meaning
  • Appreciates structure and the elegance of ideas
    or solutions

8
Aims of Identifying More able and GT
  • Schools have a responsibility to meet the
    educational needs of all their pupils .
  • For the More able we
  • Offer challenges which encourages pupils to take
    responsibility for their learning
  • Offer extension and enrichment activities in
    lessons
  • Opportunities to participate in Local and
    National Events to extend their experiences.
  • ( e.g. Team challenge, YGT, )
  • Opportunities to work with other institutions.

9
Provision offered in maths
  • Set in abilities groups ( Challenging materials
    are used in top set e.g. Standard Unit)
  • The UKMT organises national mathematics
    competitions and other mathematical enrichment
    activities for 11-18 year old UK school pupils
  • y7 y8 Junior Maths Challenge
  • Y9 y10 Intermediate Maths Challenge Kangaroo
    Challenge
  • (Nicholas Briggs received Certificate of Merit! )
  • Team Maths Challenge ( 3rd in Regional Final )
  • Cipher Challenge Y7 to y11
  • GCSE Statistic
  • Enrichment Days (Barbra Ball, fun maths road
    show, links with colleges)
  • Competition to write an article to be published
    in Plus magazine

10
Extending the more able
  • Extending Knowledge (greater depth and
    complexity)

11
Extending the more able
  • Quality rather than Quantity

12
Extending the more able
  • Questioning (open ended question)
  • What would happen if?
  • If the answer is what might the question have
    been?
  • When might you use this technique to solve
    real-life problems?
  • Using and applying their knowledge of maths
    (functional maths new resources)

13
A1
A2
Carpet Sales
Mr and Mrs Brown
A shop increased the price of its carpets by
20 Sales of the carpets dropped by 20 Did the
shops profits from carpet sales rise or fall?
When Mr and Mrs Brown married, the sum of their
ages was 44. The difference between their ages
was one-sixth for the sum of their ages 10 years
before their marriage. How old were Mr and Mrs
Brown when they married?
A3
A4
Eights and Nines
At The Table
There are six people in the Green family 2
parents, 2 girls and 2 boys. They all sit around
the table as shown below. The two girls
never sit opposite or next to each other. The two
boys never sit opposite or next to each
other. The two parents never sit opposite or next
to each other. How do the Green family sit at the
table?
The integers from 1 to 9 are listed on a
whiteboard 1, 2, 3, 4, 5, 6, 7, 8, 9 The
mean of all the numbers in the list is 5. Some
extra eights and nines are added to the list.
The mean of the list is now 7.3 How many eights
and nines are added?
14
Enrichment opportunities for the more able
  • Enrichment Exploring (Investigating, more
    challenging contexts, bring together different
    strands of the subject and delving into concepts)

15
Enrichment opportunities for the more able
  • Teaching a lesson
  • Open ended tasks (encouraged to speculate), allow
    pupils to set their own questions

16
Number Grid Coursework
  • Look at this grid
  • A box is drawn round
  • four numbers
  • Find the product of the top
  • left number and the bottom
  • right number
  • Do the same with the top
  • right and bottom left
  • Calculate the difference
  • between the two products

INVESTIGATE FURTHER
17
Task which involve discussion
Are these statements always true, sometimes true,
never true?
18
Enrichment opportunities for the more able
  • Probing/Challenging questions to extend thinking
  • Why is this true?
  • When does it not work?
  • Can you see another way of doing?
  • Write a paragraph explaining the idea to someone
    else.
  • Example
  • x2 gt x

19
Justify or refute these statements using your own
examples and arguments.
Question
Hint
20
Enrichment opportunities for the more able
  • Allowing pupils to fully understand and explore
    the maths which they are studying

21
Toolkit for Parents
  • Quality rather than quantity!!!
  • www.mymaths.co.uk
  • www.ygt.dcsf.gov.uk ( replaced NAGTY )
  • www.bitesize.co.uk
  • http//nrich.maths.org
  • http//www.ukmt.org.uk
  • http//www.pass.maths.org/
  • http//www.atm.org.uk/index.html (The Association
    of Teachers of Mathematics)
  • http//www.funbrain.com
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