Tauranga Maths Symposium
Let’s talk Mathematics (Keynote)
Mathematics is a vital element in constructing meaning.
Maths is a universal, abstract, complex and problematic
language.
Form is attended to more than meaning.
Form and meaning is often disconnected in mathematics.
We selectively access what we know; we don’t always access
and draw on what we need to.
Scaffolding Practices:
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Excavating
o
Digging down/drawing out/finding out what lies
below. Tell me everything you know about…
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Modelling
o
Teacher invites students to watch as he/she
‘Thinks out loud’
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Collaborating
o
Teacher engages as an interested participant,
the teachers intent is to explore students understanding
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Guiding
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Convince Me
o
Teachers refusing to believe what students are saying,
teacher then seeks further evidence to back up a particular claim made by
students.
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Noticing
o
Teacher draws student’s attention to particular
attributes or conditions of the task.
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Focussing
o
Series of questions to summarise what teacher
thinks students understood, direct students attention to relevant attributes
(what is needed)
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Probing
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Orienting
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Reflecting/Reviewing
o
Teacher invites students to reflect over what
they have learnt, it’s not a recount. Nominate students to present to the class
to reflect on lesson through preparation and practice. Explicit time given to
rehearse and prepare.
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Extending
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Apprenticing
Non Verbal Scaffolds
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Materials
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Posters
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References
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“What we learnt today” Charts
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Student work samples
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Manipulatives
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Games
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Diagrams
Be very clear of the mathematics you want your children to
learn.
Know where the maths is going.
8 year spread within year levels.
Difference in performance were largely due to an inadequate
understanding of fractions, decimals and proportion (i.e., multiplicative
thinking), and a reluctance/inability to explain/justify solutions.
Rich tasks aimed at multiplicative thinking.
Change is needed!
Concepts need to be experienced, strategies need to be
scaffolded; and everything needs to be discussed.
Place value, multiplication thinking, partitioning,
proportional reasoning by the end of year 8.
Talking about mathematics is vital but you need to know the
story.
Teacher knowledge is key.
Mathematics is a language, How well do you speak (listen,
read and write) mathematics?
Using language, symbols and texts
Can’t take away synonyms because then you are streamlining
their understanding and take away all flexibility when solving problems.
Language and problem solving is intensely important.
Activity:
List of mathematical words. Define words into three
categories.
Discuss the words and break down that vocabulary.
Maths Magic
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