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Numeracy programs

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Elements of an effective mathematics lesson

Sample structure (60 minutes)

In all students’ experience in maths lessons, there needs to be opportunity for:

  • Consolidation of existing and developing concepts
  • Explicit learning of new concepts
  • Investigation of mathematical question (thinking and reasoning)
  • Communication with others using the language of mathematics
  • Reflection on their own learning and thinking.
The 'How' What it looks like in the classroom Expectations of the Teacher Resources Links to Pedagogical Framework - ASoT

Lesson Structure

NB The structure of a Numeracy Block should remain flexible to support and respond to the demands of student learning. Most lessons should include these four phases. The sequence and duration of the phases may vary.

Mental warm up

Targeted focus on big ideas (Number & Algebra).

Used to identify misconceptions and inefficient methods.

Proficiency strands embedded.

High interest, engaging tasks.

Typical whole class focus.

Tasks can be differentiated to suit student needs.

Teacher facilitates sharing and discussion.

NCR Mental warm ups collection.

Materials (cards, counters, dice etc.).

DQ 3 Practise and deepen new knowledge.

DQ 6 Establishing & maintaining classroom rules & expectations.

DQ 5 Engaging students.

Student / Teacher feedback.

Explicit teaching

Content strand focus.

Builds on prior knowledge.

Materials/visual models used to develop understanding.

Linked to upcoming assessment or monitoring.

Differentiating to support and challenge individual groups of students as required.

Teachers must model the same positive disposition to maths teaching and learning.

Lesson goals.

Learning goals.

Student engagement.

Response rate.

Student / Teacher feedback.

Open-ended learning/inquiry

Concepts are connected to the explicit teaching phase.

Problem-solving / reasoning focus.

Students often work in pairs or small groups.

Differentiating to support and challenge individual groups of students as required

Teacher facilitates as students ‘drive’ the learning time.

Teacher facilitates as students ‘drive’ the learning time.

Teacher intervenes to address misconceptions or assist students in their use of more efficient strategies.

Polya problem solving model.

Singapore bar method.

Scan, Think, Do.

20 Questions EdStudio.

Reciprocal teaching.

Flexible groupings.

Student / Teacher feedback.

Reflection

Reflect on concepts and understanding.

Reflect on thinking and reasoning.

Use a range of strategies e.g.: 2-4 share, graphic organisers.

Teacher encourages students to self-monitor progress.

Exit tickets.

Student / Teacher Feedback – thumbs up, faces, coloured reflection cards etc..

Reflective journals.

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Last reviewed 18 December 2019
Last updated 18 December 2019