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A belief and a frustration
• Success in mathematics for every child• Close the attainment gap
Mathematics Mastery
Ark schools wanted a new taught curriculum to ensure that their aspirations for every child’s mathematics success becomes reality, through significantly raising standards.
Belief in Innate Ability
ASSUMPTIONS
Ability is fixed
“You either have it or you
don’t”
BELIEFS
Inborn intelligence is the main determinant of success
OUTCOMES
Poor Results
Defeatism
Belief in Effort-Based Ability
ASSUMPTIONS
Effort = Development
BELIEFS
Consistent effort and effective
strategies are the main
determinants of success.
OUTCOME
Engagement
Confidence
Results
Mathematics Mastery
• National Curriculum Reform
In mathematics there will be additional stretch, with much more challenging content than in the current National Curriculum. We will expect pupils to be more proficient in arithmetic, including knowing number bonds to 20 by Year 2 and times tables up to 12 x 12 by the end of Year 4. The development of written methods - including long multiplication and division - will be given greater emphasis, and pupils will be taught more challenging content using fractions, decimals and negative numbers so that they have a more secure foundation for secondary school.
Mathematics Mastery
TIMSS
•UK has been surpassed internationally in its mathematics performance. •Singapore’s students have consistently been top performers in the TIMSS assessment. •Clearly, Singapore maths is effective.
Mathematics Mastery
Curricular principles
• Fewer topics in greater depth Opportunities are provided throughout Mathematics Mastery for pupils to use reasoning skills to make connections between prior knowledge and newly presented material. These connections will help foster a deeper understanding of the maths concepts.
• Mastery for all pupilsDifferentiation through depth, cumulative learning, AfL
• Number sense and place value come firstTraditional algorithms meaningfully taught
• Problem solving is central Comprehension, calculation and problem solving developed simultaneously.
Mathematics Mastery
Key lesson features
• Mastering mathematical understanding• Mastering mathematical thinking• Mastering mathematical language• Mastery for all: Structure of learning
Mathematics Mastery
• Mastering mathematical understanding
Concrete-Pictorial-Abstract approach• Bruner, 1960• Reaches out to a variety of learners• Sequence is critical – every concept, within a lesson, within a
unit.• Concrete allows discovery• Pictorial allows conceptual understanding• Abstract allows a shorter and more efficient way to represent
numerical ideas using symbols.
Mathematics Mastery
• Mastering mathematical thinking
Whole class, paired, individual opportunities to• Compare (sort, organise)• Modify (change, vary, reverse, alter)• Generalise (pattern spotting, exemplifying, predict)
Learning is generalisation. We want children to think like mathematicians. Not just DO maths…
Mathematics Mastery
• Mastering mathematical language
Mathematics Mastery lessons provide opportunities for pupils to communicate and develop mathematical language through:
• Sharing essential vocabulary at the beginning of every lesson and insisting on its use throughout
• Modelling clear sentence structures using mathematical language
• Paired language development activities (toolkit lesson)
• Plenaries which give a further opportunity to assess understanding through pupil explanations
Mathematics Mastery
• Mastery for all: Structure of learningMulti-part lessons
Allow for cumulative, scaffolded learning where assessment is crucially feeding in to subsequent segments.
Pupils are ‘doing’ straight away. No time is wasted
Do Now Task; New Learning; Paired Language Development; Develop Learning; Independent Task; Plenary
Mathematics Mastery•Mastery for all: Structure of learning
Transitions Used to recall quick number facts or mathematical concepts through chants, actions and songs and to prepare children for learning.