ELEMENTS OF TEACHING FOR MASTERY by Natasha Curzi-Micallef https://padlet.com/ncurzimicallef/xdn0ogoa7z1s en-us 2020-02-03 11:38:44 UTC 2020-02-03 18:26:02 UTC hello@padlet.com https://padlet.net/icons/png/1f9ee.png Verbal Reasoning https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439808898 https://www.tes.com/teaching-resources/blog/fluency-reasoning-and-problem-solving-primary-maths

This blog discusses many aspects of reasoning but has a focus on verbal reasoning. It also discusses the need to understand mathematical language and to be able to verbally communicate this understanding to demonstrate mastery.

]]> 2020-02-03 17:51:41 UTC https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439808898 Differentiation https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439813155 https://www.ncetm.org.uk/resources/45776

The NCETM identifies that to be able to efficiently use reasoning to develop a mastery approach to mathematics, there must be differentiation for children to access their mathematics. This does not mean separating out the mathematically weak from the able, but more the ability to reason at different levels. ]]> 2020-02-03 17:56:35 UTC https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439813155 Early years https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439813533 This document covers all three aspects of mastery and how there role comes into play in the areas of the early years curriculum.  It also talks about the CPA approach too.]]> 2020-02-03 17:57:05 UTC https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439813533 Reasoning sha18003504 https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439813590 Practice is a vital part of conceptual understanding and encourage reasoning and mathematical thinking 
https://www.ncetm.org.uk/files/69314786/Secondary+Teaching+for+Mastery+December+2017.pdf]]> 2020-02-03 17:57:10 UTC https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439813590 What is reasoning? https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439813841 "Mathematical reasoning is the process of applying logical thinking to a situation to derive the correct problem solving strategy for a given question, and using this method to develop and describe a solution.

Put more simply, reasoning is the bridge between fluency and problem solving. It allows pupils to use the former to accurately carry out the latter."


]]> 2020-02-03 17:57:28 UTC https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439813841 Reasoning https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439817449 Mathematical reasoning is the process of applying logical thinking to a situation to derive the correct problem solving strategy for a given question, and using this method to develop and describe a solution.

Put more simply, reasoning is the bridge between fluency and problem solving. It allows pupils to use the former to accurately carry out the latter.

]]> 2020-02-03 18:02:31 UTC https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439817449 What Ofsted say sha18003504 https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439817589 The aims of the mathematics national curriculum, fluency (that blend of conceptual understanding and
procedural flexibility), mathematical reasoning and problem solving, capture the best in mathematics
education that we would surely want for any pupil. The word mastery is not used in the programmes of
study, but the principles cited by Charlie are at one with them. Likewise, the messages from Ofsted’s
report, Mathematics: made to measure, emphasise the importance of developing conceptual
understanding (not just procedural proficiency on its own) and giving all pupils the chance to solve
problems and reason about their work. So, there’s synergy in what we are all aiming for.]]> 2020-02-03 18:02:42 UTC https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439817589 Early Years mar18003503 https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439817984 This focuses on problem solving and reasoning in the early years. From reading this article it links to many of the COEL in which is used in the EYFS. Active learning and creating and thinking critically, links alot to Mastery Mathematics]]> 2020-02-03 18:03:16 UTC https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439817984 Early Years https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439818347 Fluency in maths - means that pupils can memorise more than one procedure to work out something. For example, 2+1=3 0+3=3 etc.

http://gargrave.n-yorks.sch.uk/data/documents/EYFS-fluency_1.pdf ]]> 2020-02-03 18:03:47 UTC https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439818347 Problem solving https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439818722 problem solving should not be seen as something that some pupils can do and some cannot. Every single person is born with an innate level of problem-solving ability.

Early on as a species on this planet, we solved problems like recognising faces we know, protecting ourselves against other species, and as babies the problem of getting food (by crying relentlessly until we were fed).

All these scenarios are a form of what the evolutionary psychologist David Geary (1995) calls biologically primary knowledge. We have been solving these problems for millennia and they are so ingrained in our DNA that we learn them without any specific instruction
]]> 2020-02-03 18:04:18 UTC https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439818722 Fluency https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439819348 Mathematical fluency is a fairly broad concept. The basics – as defined by the KS1 / KS2 National Curriculum for maths – involve knowing key mathematical facts and being able to recall them quickly and accurately.

But true fluency in maths (at least up to Key Stage 2) means being able to apply the same skill to multiple contexts, and being able to choose the most appropriate method for a particular task.

Fluency in maths lessons means we teach the content using a range of representations, to ensure that all pupils understand and have sufficient time to practise what is taught
]]> 2020-02-03 18:05:09 UTC https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439819348 vshrive https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439819680
Fluency Definition: What is Fluency in Maths?

One of the biggest changes in practice was a new-found focus on fluency. So what does this really mean?

The National Curriculum states that pupils should become fluent in the fundamentals of mathematics through varied and frequent practice. While a part of this is about knowing key mathematical facts and recalling them efficiently, fluency means so much more than this.

Fluency gives pupils the ability to delve deeper into Maths; to develop number sense and choose the most appropriate method for the task at hand; to be able to apply a skill to multiple contexts.

https://thirdspacelearning.com/blog/what-is-fluency-in-maths-definition-ks2/

]]> 2020-02-03 18:05:40 UTC https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439819680 vshrive https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439821628 How Does Mathematical Fluency Fit with Reasoning and Problem Solving?

The mastery curriculum for primary schools places problem solving at the heart of mathematics with the main aim that every child can learn to solve sophisticated problems in an unfamiliar context.

To enable them to achieve this, pupils must develop their conceptual understanding, mathematical thinking and use of mathematical language. This is where fluency and reasoning come in. To find out more, read our blog on the relationship between fluency, reasoning and problem solving.

https://thirdspacelearning.com/blog/what-is-fluency-in-maths-definition-ks2/

]]> 2020-02-03 18:08:20 UTC https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439821628 Early Years https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439822462 The children need to be able to explain how they have reached their answer. E.g. through them working out (by drawring dots).
https://www.barrscourtprimaryschool.co.uk/wp-content/uploads/2015/12/EYFS-reasoning.pdf ]]> 2020-02-03 18:09:34 UTC https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439822462 Answering in full sentences. der18003497 https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439823974 So, personally, I disagree, as I don't think this is taking into account children with ASD, SLCN, EAL, shyness or low confidence... but what do I know?

]]> 2020-02-03 18:11:38 UTC https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439823974 Reasoning being the bridge between fluency and problem solving... der18003497 https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439829882 So, reasoning is said to be the bridge between fluency and problem solving, but isn't fluency learning by rote and then the reasoning is applying the rote learning to solve the problems? Feel free to disagree!]]> 2020-02-03 18:19:06 UTC https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439829882 vshrive https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439834670 Reasoning


The way pupils speak and write about mathematics transforms their learning. Mastery approaches use a carefully sequenced, structured approach to introduce and reinforce mathematical vocabulary. Pupils explain the mathematics in full sentences. They should be able to say not just what the answer is, but how they know it’s right. This is key to building mathematical language and reasoning skills.

https://www.tes.com/teaching-resources/teaching-for-mastery-in-primary-maths
]]> 2020-02-03 18:25:28 UTC https://padlet.com/ncurzimicallef/xdn0ogoa7z1s/wish/439834670