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1
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- How do we develop and enhance mathematical understanding?
- How do we communicate mathematically?
- How do we develop thinking skills?
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2
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- Linguistic intelligence
- Logical/Mathematical intelligence
- Visual/Spatial intelligence
- Musical intelligence
- Bodily-Kinesthetic intelligence
- Interpersonal intelligence
- Intrapersonal intelligence
- Naturalist intelligence
- Existential intelligence (Smith, 2002)
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3
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- Your task is to Activate Children’s Thinking Skills (ACTS).
- Develop mathematical reasoning, problem solving, communicating and
computational skills.
- Teachers guide students by skilful questioning & assessing their
understanding.
- Focus on communicating mathematically.
- You will “scaffold” their learning.
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4
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- Teach Metacognition (Thinking about Thinking).
- Develop mathematical concepts in numeracy.
- Teach the language of mathematics
- Use lessons based on the logical hierarchy of mathematics.
- Pupils need to be taught decision making skills.
- You must model writing, recording & symbolic notation.
- Use skilful questioning that is
worked out in advance
- Differentiation, Differentiation, Differentiation!
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5
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- Learning outcomes;
- made clear at the outset of a lesson
- reiterated during the course of the lesson
- recapped at the end
- throughout the lesson the children will be encouraged to give extended
responses.
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6
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7
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- The daily Numeracy (mathematics) lesson is divided up into three parts.
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8
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- Oral work and mental calculation (about 10 minutes) whole-class
work to rehearse, sharpen and
develop mental and oral skills
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9
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- Lessons focus on whole-class teaching with a strong emphasis on mental
calculation.
- Pupils are given the opportunity to explain their answers and suggest
new ways of tackling problems.
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10
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- The main teaching activity (about 30 to 45 minutes, age dependent).
- What do we know about the topic to start the session.
- Followed by teaching input and pupil activities.
- Work as a whole class, in groups, in pairs or as individuals.
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11
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- What did you do to solve this problem?
- What did you picture in your mind?
- Is there any other way to solve this problem?
- Why did you choose this way to do it?
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12
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- Is there a simpler or quicker way?
- Will your solution work for other problems?
- Can you tell/ show why your strategy works?
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13
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- A plenary to round off the lesson (about 10 to 15 minutes).
- To work with the whole class to sort out misconceptions and identify
progress.
- To summarise key facts and ideas and what to remember.
- To make links to other work and discuss the next steps.
- To set work to do at home
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