Progression and Mastery in Mathematics for Parents/Parent Talk November... · approach focused on a...

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Mastery

Learning

November 7th 2016 Mrs Morganti.

With thanks to Rob Carpenter for some slides

Mastery Learning St. Dunstan’s

The aims of today’s session :

Explain what mastery learning is

Share why are aiming to use mastery learning and teaching at St Dunstan‟s

Answer common questions regarding Mastery teaching and learning.

Look at examples of Mastery learning in the Mathematics and English Curriculum.

What does learning look like?

What does this tell you

about learning?

Learning is not easy.

Learning does not follow a straight path.

Learning never ends.

Learning is a struggle.

Learning may be fun or it may be hard work.

Learning is an experience.

Learning can‟t be taken away.

Learning is an active process.

Learning involves making mistakes.

What is Mastery or

„Expert' Learning?

Are highly motivated

Are reflective Take part in deliberate practise

Choose the best strategies

Look for relationships with learning

Applies analysis to solve problems

Masters or ‘Expert'

Learners:

Different ways to understand the

mastery learning process.

The journey from Novice to

Master.

Novice Apprentice Master Expert

Gordon Stobart: Expert Learners

From Novice to Master The journey from novice to master is driven by

conceptual understanding (the theory, the thinking part of learning).

It is not driven by cognitive (intellectual) or „innate‟ ability.

One can be an expert in an aspect of learning whilst at the same time, a novice in another.

Gordon Stobart: Expert Learners (Challenging the Myth of Ability)

Procedural

Fluency

Problem solving

Reasoning

From Novice to Master

The relationship between prior knowledge and

new knowledge and skills is important.

This relationship can then be developed through

interweaving multiple opportunities to problem

solve and reason.

This leads to a deeper level of understanding.

From Novice to Master

I have no

knowledge,

information or

concept of this

learning.

I cannot draw on

prior experience

to form a

relationship with

the new learning.

Through direct

learning

experiences, I

have an

understanding of

the learning and

can connect this

to other aspects

of learning. I am

constructing

meaning.

I can put parts of

the learning

together to form

a deeper

understanding of

key learning that

relate to the

„whole‟ learning.

I value the

relevance of the

learning and am

making sense of

this.

I have

internalised

learning and can

apply this to a

wider schema

(plan or theory)

linked to life and

new contexts.

This enables me

to evaluate and

create new

learning.

Stages of Understanding

Mastery Definitions – Learning:

Move from shallow knowledge to deep knowledge;

The whole class masters key concepts before moving on;

and frequently revisit concepts to ensure fluency and

retention;

Use of assessment to plug gaps in knowledge and

understanding where needed (corrective time);

The same curriculum and expectations is given for all pupils,

with all achieving the same minimum(high)level of

knowledge and understanding (security/ mastery); and

Different levels of support for pupils depending on their stage

in learning– corrective teaching for those who need it to

reach the minimum level, while differentiating by depth

rather than speed or breadth for the most confident pupils.

Mastery Definitions - Teaching

Mastery refers to a teaching approach :

An expectation that every pupil reaches a minimum (but high)

level of knowledge and understanding of the same content;

Effective teaching, with carefully sequenced, structured

approach focused on a small steps of progression ;

Additional support for those who need it to reach the minimum

level, through corrective teaching etc. ;

A focus on learning being about pupils ability to recall, apply

and demonstrate their knowledge, understanding and skill in a

different contexts over a period of time.

Regular assessment, through a variety of means (questioning,

review work, quizzes and testing) which helps ensure accurate

understanding of pupils‟ learning.

LESSON 1

Instruction

Unit of work

broken down into

small areas of

learning. Review

previous

learning.

Assessment.

Brief and

formative for

evaluation and

checking

understanding.

Aim for 80%

success rate

before moving

on.

Corrective.

Pupil needs more

experience and time.

Enrichment Activities.

Mastery is

demonstrated.

Activity - deeper

problem solving,

Formative

Assessment

Aim for 80%

success rate

before moving

on

LESSON 2

instruction.

Bloom’s Mastery Learning Process

The Mastery Learning Instructional Process (diagram adapted)

(Guskey, 2005)

In „The Empire Strikes Back‟ Luke Skywalker, even

though his training to be a Jedi Knight hasn‟t

finished, decides he needs to go off and rescue

his friends.

Luke has already failed one of the tests (to use

the force to get his spacecraft out of the swamp)

where Yoda gave him multiple attempts and

changed his instruction to help him towards the

goal.

Jedi Master Yoda insists Luke must finish his

training, but Luke is adamant. Yoda eventually

has to let Luke go to save his friends, but he insists

that he will not confer Jedi status on him until he

has finished his training properly.

This is the principle of mastery learning.

Pupils are not allowed to move on until they have

mastered the essential standard/s.

Instruction is adjusted if lessons are not learned,

and students have multiple attempts to achieve

mastery.

Traditional Methods of learning, where time and instruction are

fixed.

To agree with mastery learning we need to

accept that:

aptitude and competence is incremental

given enough time, and

ability is not fixed.

This is a Growth Mindset approach.

(Carol Dweck)

With Mastery Learning, all are given time and instruction enough to

achieve the required standard.

With Mastery Learning methods, because each learner receives the

right instruction for them and as much learning time as they require,

then a larger majority of students should attain mastery.

Teaching to Mastery

Keep the class working together on the same

topic (at the same time addressing the need for

all pupils to master the curriculum and for others

to gain greater proficiency and understanding)

Challenge is created by going deeper rather

than accelerating into new content.

In the mastery learning classroom, the challenge

is about providing enough time and variety of

strategies to get all students past a set

standard….

Crucially, other students who have achieved

mastery of the required standard can be

challenged to deepen and apply their

knowledge in different circumstances.

This enables them to not race through content

after only superficial levels of understanding

but get the opportunity to perfect their new

skills.

Pupils who do not achieve mastery of a skill

or topic are given additional support and

activities before they are tested again until

they achieve the required level of mastery.

Why do this?

To reduce the achievement gaps in the

classroom

Avoid superficial (surface level )learning

In typical mastery models, the entire class

do not proceed to the next unit until the

majority of students have fulfilled the

learning objectives of the current unit (80%

achieving 80%-85% of objectives).

Why follow this Mastery

approach to learning’?

Recent changes to National

Curriculum

The National curriculum emphasises the

importance of all pupils mastering the

content taught each year and

discourages the acceleration of pupils

into content from subsequent years.

Bake off Contestants compete against each other to

proceed to the next level.

They are given the same uniform tasks to achieve,

sometimes with more clarity than others, and

expected to show their knowledge and skills.

They are then judged (summative assessment) but

not allowed to have another chance to master.

Those that are worst drop away.

Bake off This model is a test of abilities already assumed to

have been acquired, rather than an environment

for learning.

If classrooms are like Bake-off, pupils are moved to

new levels without having mastered the lessons

previously.

Over time, this causes an ability gap to widen and

attitudes to harden around innate ability.

Surface learning

Learners simply cope with the learning required.

Learning is unrelated bits of knowledge.

There is memorising of facts.

Learners carry out procedures routinely with little understanding of „why?‟ e.g. column addition.

There is learning without thinking about purpose or strategies.

Learners tend to worry about learning.

Learning often does not „stick‟

Deep seeking learning

Learners make links with previous learning to the new learning

Learners look for patterns

Learners are actively interested in learning

Learners develop own ideas about learning

Learners look for different strategies to use for the purpose

Learners understand the „why?‟

Middle Game End Game

Random Actual

Game

Random Actual

Game

Novice 2 5 1 8

Intermediate 3 9 2 7

Expert 3 16 3 8

The number of chess pieces correctly remembered from

random and real game situations.

The experts remembered more pieces during the game as

they could put all pieces into a context, they were thinking

moves ahead for many pieces. The novices are not yet able

to do this.

How Experts Learn

“It‟s not that I‟m so smart; its just that I stay with

problems longer”. (Albert Einstein)

“I hope I do it in time. I myself am very far from

satisfied with this but, well, getting better and

better must come through doing it and through

trying”. (Vincent Van Gogh)

Deliberate Practice:

is a highly structured activity, the explicit goal of which is to

improve performance.

involves specific tasks planned to overcome weaknesses.

carefully monitors performance to provide further cues to

improve further.

requires effort and is not inherently enjoyable.

happens when individuals are motivated to practice

because practice improves performance.

Ericsson (1993)

Common questions

Do teachers still differentiate?

Differentiation often used in schools before

mastery teaching, favoured allowing more

capable or more motivated students to

progress ahead of others.

They often were given different work (rather

than extension or „stretch‟ challenges)

It simplified the content for some children.

Why we do not „differentiate‟.

Mastery does not „dumb down‟ content. It

changes the methods and tools of instruction if

it hasn‟t worked in the first instance.

Non-masters are given tasks to bring them up

to speed

Masters either peer-tutor or perform enrichment

activities that deepen their understanding.

The time and way the instruction is given is

differentiated. All get the same content and

expectation.

Will mastery methods hold the

brightest pupils back? This comment relates to the idea that pupils are „more

able‟ than others or „brighter‟.

Ability is something that cannot be controlled.

Mastery learning does not think of learners like this, but as learners with different levels of preparation and cognitive skills.

Even if some students are better prepared and more skilful than others, research does not suggest that these pupils are held back or under-perform.

The teacher must ensure that enrichment and extension tasks are there to deepen their understanding to new levels.

Pupils are required to struggle and discuss, create, teach and reason with their learning. Therefore, to apply it in different ways to different contexts. It is not about getting 100% and feeling they have achieved and are the brightest in the classroom.

What about pupils who continuously do

not achieve mastery? There may be pupils who do not achieve mastery

over and over again.

It is the expectation of the teacher that is important here: that the message is they can achieve it with more time and help.

Also, the importance of mastery is in the recognition of progress. If a pupil makes a jump from 40% to 70% from test 1 to test 2, this is something to praise and be used to encourage.

If a child is continually failing to make the mastery standard, the teacher must look to change the instructional method to make sure they are suitable for the child.

Mastery assumes that with time and the correct instruction all learners can achieve the standards required.

What can parents do to help?

Austin‟s Butterfly- appropriate,

specific feedback

Ron Berger

Growth Mindset and resilience In order to build resilience in pupils, parents have to

create the environment at home where they divert their children from their habitual calls for help.

If teachers and parents create a „bumper‟ between pupils‟ feeling „stuck‟ and the instant support for help, then independence develops in the gap. Open the space to allow children to try and solve things for themselves.

As with all strategies, it‟s important not to expect this to happen instantly or without some planning and preparation.

Children need to know what good practice looks like: make sure it is clearly explained and modelled including what good thinking and good independence look like and how support will be given and when.

Develop expectation of improvement,

not congratulating innate skill

Professor Hattie says that what works most in terms

of impact is …..„learners own expectations of how

successful they will be.‟

Learners should be praised on their achievements

and perseverance towards mastery, not on a

perception of innate talent (e.g. how clever they

are) that is somehow fixed.

Try to avoid unselective, haphazard

congratulations on completing tasks or activities

e.g. I am so impressed by your determination to

complete your homework all by yourself even though

your were struggling.

Be careful with what you praise

Praise actions, not ability.

Praise effort, not talent.

Praise resilience, not the norm

Praise courage, not ease

Praise improvement, not speed

Praise progress as well

Praise the behaviour of learning

What are we doing at

St Dunstan‟s?

Aspiration and Mastery- Setting

Standards

Using exemplars and models to help children

achieve great work and to give them a base to

aspire to. (It rarely leads to copying.)

It also makes feedback so much easier later on,

when everyone has a reference point they can

compare against.

High expectations of presentation, care of books,

participation, speaking and listening and learning

behaviour.

Positive Peer Pressure

Range of deep, high order questions to

test/probe pupil knowledge.

What happens when a bee visits a flower?

A simple question which will give you either

a lot or very little to make a judgement on.

What might happen to plant pollination if bee numbers reduced?

If there was not a carpel in the flower, what would happen?

Which organs are involved in both pollination and fertilisation?

Give other examples of animals that help in pollination?

What happens in plants without flowers? Look at the different flower shapes- which ones do you think

are insect pollinated or bird pollinated?

Language prompts- develop

language of learning.

Cross Curricular/ themed topics

To make learning memorable

To make links between existing knowledge

and future knowledge and skills

To share the big picture, the purpose for

the learning

To engage a range of learners

Mastery in Maths and English

Examples of Reasoning

We aim for pupils to solve problems by applying their

mathematics to a variety of routine and non-routine

problems with increasing sophistication.

These include breaking down problems into a series of simpler steps and persevering in seeking solutions.

Examples of Problem Solving

Writing-Emphasis on the reader

Children are taught to think about all of their writing choices

in relation to the reader.

We ensure that children are able to make choices over their

writing and explain what effective choices they have made.

There is always choice and discussion over:

Word/language choices

Sentence choices

Punctuation choices

In relation to the

reader and the

intended

impact/effect on

the reader

Progression in Writing Technical Skills

*Capital letters *Full stops *Punctuation *Handwriting *Spelling *Quantity

Word Choice

*Exchange one adjective for another *More effective word to use

*Most effective word to use

Beyond Word Choice

*Meaning *Impact *Effect

*Choices that impact the reader *Emotion

*Effect of sentence choice in relation to different situations *Organising

information at text level for effect

Summary of Mastery

Mastery is much more than being able to

memorise key facts and answer test questions

accurately and quickly.

It involves knowing – Why ? – as well as knowing

that and how.

Using knowledge appropriately , effectively,

flexibly, and creatively – in new and unfamiliar

situations.

Summary of Mastery Becoming an expert requires both

motivation and opportunity to succeed.

It involves extensive and long term practice.

It requires extensive knowledge which is organised and linked through deep understanding so that more is remembered and relevant information accessed.

It involves reflection on methods used and thought processes.