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Maths that is connected to every day life becomes more relevant and interesting to students

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Maths that is connected to every day life becomes more relevant and interesting to students

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Allow students several ways of seeing a concept eg draw, create, write, build etc

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Allow students several ways of seeing a concept eg draw, create, write, build etc

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If we enhance our teacher knowledge, we can enhance our student's learning!

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If we enhance our teacher knowledge, we can enhance our student's learning!

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Provide students opportunities to learn from errors

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Provide students opportunities to learn from errors

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open ended tasks great for creative thinking and experimenting

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open ended tasks great for creative thinking and experimenting

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Tools and Hands-on materials support our students' learning!

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Tools and Hands-on materials support our students' learning!

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We need to continue to build on student knowledge

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We need to continue to build on student knowledge

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Tasks should require students to think about important mathematical ideas

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Tasks should require students to think about important mathematical ideas

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Teacher instruction is crucial to learning 

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Teacher instruction is crucial to learning 

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Expectations need to be high but realistic

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Expectations need to be high but realistic

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We need to encourage our students to explain their mathematical thinking more! In doing so, they can also justify their answers. This provides opportunities for other students to understand how questions are unpacked and the possible processes involved.

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We need to encourage our students to explain their mathematical thinking more! In doing so, they can also justify their answers. This provides opportunities for other students to understand how questions are unpacked and the possible processes involved.

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Provide lots of waays to learn, pairs, groups, independent etc

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Provide lots of waays to learn, pairs, groups, independent etc

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Building studnet confidence is pivotal to learning

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Building studnet confidence is pivotal to learning

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Assessment is most effective if a combination of formal and informal assessment strategies are used

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Assessment is most effective if a combination of formal and informal assessment strategies are used

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Effective teacher use student existing competencies for planning

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Effective teacher use student existing competencies for planning

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Making connections- Maths to real world links!!

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Making connections- Maths to real world links!!

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We need to teach studnets how to respond to questions, not just the answer nbut the thought process behind it

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We need to teach studnets how to respond to questions, not just the answer nbut the thought process behind it

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Pairs and small groups encourage cooperative learning and higher order thinking

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Pairs and small groups encourage cooperative learning and higher order thinking

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Our tasks should not have a single-minded focus. If they are are open-ended they're going to provide more opportunities for our students to achieve the goal in their own way.

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Our tasks should not have a single-minded focus. If they are are open-ended they're going to provide more opportunities for our students to achieve the goal in their own way.

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Important to give students enough time and an opportunity to to think and work by themselves

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Important to give students enough time and an opportunity to to think and work by themselves

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not spoon feeding just facilitating learning and guiding

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not spoon feeding just facilitating learning and guiding

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Student need to be given opportunities to work both collaboratively and independently. 

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Student need to be given opportunities to work both collaboratively and independently. 

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This occurs best in small groups, pairs and indivdually.

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Important to unpack and model mathematical dialogue.    

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Important to unpack and model mathematical dialogue.    

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To be an effective teacher it is important that you have background knowledge and sound understanding of the concepts being taught and how to teach them so that each student no matter what level gains, understanding of the concept.

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To be an effective teacher it is important that you have background knowledge and sound understanding of the concepts being taught and how to teach them so that each student no matter what level gains, understanding of the concept.

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Organisation of classroom a and instruction - big ideas teaching 

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Organisation of classroom a and instruction - big ideas teaching 

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Content knowledge and how to build procedural proficiency

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Teachers need to be aware of and account for existing understanding and interests in order to engage students. They also need to consider carefully the tasks and examples they use in teaching. Connections to everyday life is valuable. 

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Teachers need to be aware of and account for existing understanding and interests in order to engage students. They also need to consider carefully the tasks and examples they use in teaching. Connections to everyday life is valuable. 

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Observation during the maths lessons is a valuable too in assessing and moving on students in their mathematical thinking.

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Observation during the maths lessons is a valuable too in assessing and moving on students in their mathematical thinking.

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Fluid and flexible groupings, as well as modelled, guided and independent learning activities assist students in learning. 

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Fluid and flexible groupings, as well as modelled, guided and independent learning activities assist students in learning. 

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Links between concepts makes learning mathematical skills effective and valuable.

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Links between concepts makes learning mathematical skills effective and valuable.

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Classrooms need to be mutually trusting environments where students are aware of their own learning goals and feel confident and safe in taking risks when working towards achieving them. 

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Classrooms need to be mutually trusting environments where students are aware of their own learning goals and feel confident and safe in taking risks when working towards achieving them. 

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Classrooms need to be mutually trusting environments where students have 

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Classrooms need to be mutually trusting environments where students have 

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All 10 pedagogical approaches need to be used together, not in isolation

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All 10 pedagogical approaches need to be used together, not in isolation

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Explain and justify - encourage mathematical ideas and language and methods

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Explain and justify - encourage mathematical ideas and language and methods

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more about thinking that leads ti te answer  rather than the procedural rules - revoicing is one way of using and developing language  - repeat phrasing
Model language = language needs to to be taught orally ad writing and drawing
need to teach slippery words e.g. scale and volume
Teaching idea modelling - revoicing retelling and rephrasing

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To plan effectively teachers should begin their teaching plans based on assessment of where the students are at mathematically.

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To plan effectively teachers should begin their teaching plans based on assessment of where the students are at mathematically.

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1 need to make connections in teachinhg e.g. multiplication and area for e.g. 

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1 need to make connections in teachinhg e.g. multiplication and area for e.g. 

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2. Goals explicit
3. Quality assessments like SENA support teacher responsiveness and differentiation

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- questioning- allow thinking time
- one on one interviews-- think aloud while problem-solving
- Self & peer assessment- develops greater awareness
- Feedback- focus on the strategy (task) not the answer

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Teacher knowledge and belief about mathematics is integral in shaping quality instruction for students. An understanding of 'the big picture' is essential. 

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Teacher knowledge and belief about mathematics is integral in shaping quality instruction for students. An understanding of 'the big picture' is essential. 

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Teachers who really want their students to develop mathematical thinking need to allow students to express their ideas no matter how unorthodox or unusual.

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Teachers who really want their students to develop mathematical thinking need to allow students to express their ideas no matter how unorthodox or unusual.

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Making connections between numerical concepts and real-life scenarios helps develop their conceptual understanding and application of these concepts

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Making connections between numerical concepts and real-life scenarios helps develop their conceptual understanding and application of these concepts

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Independent tasks are important for students to gain understanding without the influence of opinions of other students.

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Independent tasks are important for students to gain understanding without the influence of opinions of other students.

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2. Build on existing proficiencies

3. games develop automaticity - not time filers
4. opportunity to practice improve computation and fluency , problem solving and conceptual understanding

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Learning needs to be arranged. Arranged learning can look like independent tasks, whole class, partner/ small groups.

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Learning needs to be arranged. Arranged learning can look like independent tasks, whole class, partner/ small groups.

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1. These 10 principles should be viewed as a whole and not in isolation 

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1. These 10 principles should be viewed as a whole and not in isolation 

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2. A starting point for discussion change innovation iimprove unpack reform
3.Mathematic goals help students develop students' mathematics identities and proficiencies

4. Positive attitude raises confidence  and persevence is likely
5. independently and collabo0rative needs to be balanced

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1.

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Key take outs from the reading