Effective Pedagogy

Effective PedagogyEffective Pedagogy

How is it represented in How is it represented in Mathematics?Mathematics?

Creating a Supportive Learning Creating a Supportive Learning EnvironmentEnvironment

Students learn best when they enjoy Students learn best when they enjoy positivepositive relationships with their fellow relationships with their fellow students and teachers.students and teachers.

Effective teachers attend to the cultural Effective teachers attend to the cultural and linguistic diversity of all their students.and linguistic diversity of all their students.

Creating a Supportive Learning Creating a Supportive Learning EnvironmentEnvironment

All Mathematics teachers aspire to All Mathematics teachers aspire to incorporate students’ needs into their incorporate students’ needs into their lesson planning.lesson planning.

When appropriate, active literacy activities When appropriate, active literacy activities are used to aid this linguistic challenge are used to aid this linguistic challenge faced by many students of Mathematics.faced by many students of Mathematics.

Encouraging Reflective Thought Encouraging Reflective Thought and Actionand Action

Reflective learners assimilate new Reflective learners assimilate new learning, relate it to what they already learning, relate it to what they already know, adapt it for their own purposes and know, adapt it for their own purposes and translate thought into action.translate thought into action.

Eventually they progress to metacognition.Eventually they progress to metacognition.


Teachers encourage such thinking when Teachers encourage such thinking when they design tasks and opportunities that they design tasks and opportunities that require students to critically evaluate the require students to critically evaluate the material they use and consider the material they use and consider the purpose for which it was originally created.purpose for which it was originally created.


Students of Mathematics are encouraged to ask Students of Mathematics are encouraged to ask themselves:themselves: Is this solution sensible?Is this solution sensible? Have I answered the question fully?Have I answered the question fully? Can I improve my answer?Can I improve my answer? Did I solve the problem in the most efficient way?Did I solve the problem in the most efficient way? Where did this information come from and what does Where did this information come from and what does

it tell me?it tell me? What do I notice? (data analysis)What do I notice? (data analysis) How widely can these results be applied?How widely can these results be applied?

Enhancing Relevance of New Enhancing Relevance of New LearningLearning

Students learn most effectively when they Students learn most effectively when they understand what, why and how to use understand what, why and how to use what they are learning.what they are learning.

Effective teachers stimulate curiosity.Effective teachers stimulate curiosity.

Enhancing Relevance of New Enhancing Relevance of New LearningLearning

Design well written application problems Design well written application problems that use the abstract skills they have that use the abstract skills they have learned in a context that may be familiar to learned in a context that may be familiar to the student.the student.

This helps the student fit the why and how This helps the student fit the why and how in to the what.in to the what.

Facilitating Shared LearningFacilitating Shared Learning

Students learn as they Students learn as they engageengage in shared in shared activities and conversations with other activities and conversations with other people.people.

Teachers encourage this process by Teachers encourage this process by cultivating the class as a learning cultivating the class as a learning community.community.


Careful seating of students in the Careful seating of students in the classroom helps to let these conversations classroom helps to let these conversations take place between students of similar and take place between students of similar and differing academic ability.differing academic ability.

The teachers are encouraged to allow The teachers are encouraged to allow shared learning.shared learning.


Careful monitoring of the class, groups Careful monitoring of the class, groups and individuals is required to make this an and individuals is required to make this an authentic learning activity.authentic learning activity.

Monitoring can include, but certainly not Monitoring can include, but certainly not limited to:limited to:Asking for feedback from groups and Asking for feedback from groups and

individuals as you circulate.individuals as you circulate.Listening in on discussions checking for Listening in on discussions checking for

content and correctness.content and correctness.

Making Connections to Prior Making Connections to Prior LearningLearning

Students learn best when they are able to Students learn best when they are able to integrate new learning with what they integrate new learning with what they already understand.already understand.

When teachers deliberately build on what When teachers deliberately build on what their student know and have experienced, their student know and have experienced, they maximise the use of learning time.they maximise the use of learning time.


Mathematics learning demands a very Mathematics learning demands a very high level of prior knowledge to be in place high level of prior knowledge to be in place and organised.and organised.

This is why our curriculum is often called a This is why our curriculum is often called a ‘spiral curriculum’.‘spiral curriculum’.


To be an effective teacher of Mathematics, To be an effective teacher of Mathematics, this seamless progression needs to be this seamless progression needs to be occurring all the time as new concepts are occurring all the time as new concepts are introduced.introduced.

Many new concepts draw from all strands Many new concepts draw from all strands of Mathematics and require a well of Mathematics and require a well structured introduction to where they fit structured introduction to where they fit into the big picture.into the big picture.

Providing Sufficient Opportunities Providing Sufficient Opportunities to Learnto Learn

Students learn most effectively when they Students learn most effectively when they have time and opportunity to engage with, have time and opportunity to engage with, practise and transfer new learning.practise and transfer new learning.

When curriculum coverage and student When curriculum coverage and student understanding are in competition, the understanding are in competition, the teacher may decide to cover less but teacher may decide to cover less but cover it in greater detail.cover it in greater detail.

Providing Sufficient Opportunities Providing Sufficient Opportunities to Learnto Learn

All Mathematics teachers offer at least four All Mathematics teachers offer at least four different opportunities to learn new ideas:different opportunities to learn new ideas:

Teaching (coverage of new content)Teaching (coverage of new content)Practise (class activities)Practise (class activities) Immediate Review (usually as homework)Immediate Review (usually as homework)Delayed Review (usually as Do Now’s)Delayed Review (usually as Do Now’s)

Teaching as InquiryTeaching as Inquiry

Since any teaching strategy works Since any teaching strategy works differently in different contexts for different differently in different contexts for different students, effective pedagogy requires that students, effective pedagogy requires that teachers inquire into the impact of their teachers inquire into the impact of their teaching on their students.teaching on their students.

Teaching as InquiryTeaching as Inquiry

In Mathematics we believe this is more of In Mathematics we believe this is more of an over arching pedagogy that is used to an over arching pedagogy that is used to check the others are working okay. check the others are working okay.

What is important for my students?What is important for my students?What strategies are most likely to work?What strategies are most likely to work?Did it work and what does it mean for future Did it work and what does it mean for future

teaching of these students?teaching of these students?

E-learningE-learning

Explore not only how ICT can be a Explore not only how ICT can be a supplementsupplement to traditional ways of teaching, to traditional ways of teaching, but also how it can open up new and but also how it can open up new and different ways of learning.different ways of learning.

Technology

Effective Pedagogy