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Guidance, ideas and examples to support schools in developing their curriculum, pedagogy, enrichment and support for more able learners, within a whole-school context of cognitively challenging learning for all. Includes ideas to support curriculum development, and practical examples, resources and ideas to try in the classroom. Popular topics include: curriculum development, enrichment, independent learning, questioning, oracy, resilience, aspirations, assessment, feedback, metacognition, and critical thinking.

 

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Rethinking challenge and inclusivity in KS3 Design & Technology

Posted By Lol Conway, 06 May 2025

Lol Conway, Curriculum Consultant and Trainer for the Design and Technology Association

Throughout my teaching, inclusivity has always been at the forefront of my mind – ensuring that all students can access learning, feel included, and thrive. Like many of my fellow teachers, at the start of my teaching career my focus was often directed towards supporting SEND or disadvantaged students, for example. I have come to realise, to my dismay, that more able students were not high up in my consideration. I thought about them, but often as an afterthought – wondering what I could add to challenge them. Of course, it should always be the case that all students are considered equally in the planning of lessons and curriculum progression and this should not be dictated by changes in school data or results. Inclusivity should be exactly that – for everyone.

True inclusivity for more able students isn’t about simply adding extra elements or extensions to lessons, much in the same way that inclusivity for students with learning difficulties isn’t about simplifying concepts. Instead, it’s about structuring lessons from the outset in a way that ensures all students can access learning at an appropriate level. 

I realised that my approach to lesson planning needed to change to ensure I set high expectations and included objectives that promoted deep thinking. This ensured that more able students were consistently challenged whilst still providing structures that supported all learners. It is imperative that teachers have the confidence and courage to relentlessly challenge at the top end and are supported with this by their schools. 

As a Design and Technology (D&T) teacher, I am fortunate that our subject naturally fosters higher-order thinking, with analysis and evaluation deeply embedded in the design process. More able students can benefit from opportunities to tackle complex, real-world problems, encouraging problem-solving and interdisciplinary connections. By integrating these elements into lessons, we can create an environment where every student, including the most able, is stretched and engaged. However, more often than not, these kinds of skills are not always nurtured at KS3.

Maximizing the KS3 curriculum

The KS3 curriculum is often overshadowed by the annual pressures of NEA and examinations at GCSE and A-Level, often resulting in the inability to review KS3 delivery due to the lack of time. However, KS3 holds immense potential. A well-structured KS3 curriculum can inspire and motivate students to pursue D&T while also equipping them with vital skills such as empathy, critical thinking, innovation, creativity, and intellectual curiosity.

To enhance the KS3 delivery of D&T, the Design and Technology Association has developed the Inspired by Industry resource collection – industry-led contexts which provide students with meaningful learning experiences that go beyond theoretical knowledge. We are making these free to all schools this year, to help teachers deliver enhanced learning experiences that will equip students with the skills needed for success in design and technology careers. 

By connecting classroom projects to real-world industries, students gain insight into the practical applications of their learning, fostering a sense of purpose and motivation. The focus shifts from achieving a set outcome to exploring the design process and industry relevance. This has the potential to ‘lift the lid’ on learning, helping more able learners to develop higher-order skills and self-directed enquiry.

These contexts offer a diverse range of themes, allowing students to apply their knowledge and skills in real-world scenarios while developing a deeper understanding of the subject and industry processes. Examples include:

  • Creating solutions that address community issues such as poverty, education, or homelessness using design thinking principles to drive positive change;
  • Developing user-friendly, inclusive and accessible designs for public spaces, products, or digital interfaces that accommodate people with disabilities;
  • Designing eco-friendly packaging solutions that consider materials, manufacturing processes, and end-of-life disposal.

These industry-led contexts foster independent discovery and limitless learning opportunities, particularly benefiting more able students. By embedding real-world challenges into the curriculum, we can push the boundaries of what students can achieve, ensuring they are not just included but fully engaged and empowered in their learning journey.

Find out more…

NACE is partnering with the Design & Technology Association on a free live webinar on Wednesday 4 June 2025, exploring approaches to challenge all learners in KS3 Design & Technology. Register here.

Tags:  access  cognitive challenge  creativity  design  enquiry  free resources  KS3  myths and misconceptions  pedagogy  problem-solving  project-based learning  technology 

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6 steps to maximise the impact of practical science lessons

Posted By Tom Greenwood, 26 March 2025

Holme Grange School's Tom Greenwood shares six steps to maximise the impact of your practical science lessons.

Science is more than just memorising facts and following instructions. True scientific thinking requires critical analysis, problem-solving, and creativity. Practical science provides the perfect platform for developing these skills, pushing students beyond basic understanding and into the realm of higher-order thinking.

Why challenge matters in science education

Practical science sits at the peak of Bloom’s revised taxonomy (Anderson & Krathwohl, 2001), requiring students not just to remember and understand but to apply, analyse, evaluate, and create. These skills are essential for developing scientifically literate individuals who can tackle real-world problems with confidence and insight.

Steps to maximizing the impact of practical science

To truly challenge students and develop their higher-order thinking, practical science lessons must be carefully structured. Here’s how:

Step 1: Solve real-world problems

Practical science activities should be grounded in real-world applications. When students see the relevance of their experiments, their engagement increases. For example, testing water purity or designing a simple renewable energy system connects scientific principles to everyday life.

Step 2: Get the groups right

Collaboration is key in scientific exploration. Thoughtful grouping of students – pairing diverse skill levels or encouraging peer mentoring – can enhance problem-solving and communication skills.

Step 3: Maintain a relentless focus on variables

From Year 5 to Year 11, students should develop a keen understanding of variables. This means recognising independent, dependent, and control variables and understanding their importance in experimental design.

Step 4a: Leave out a variable

By removing a key variable from an experiment, students are forced to think critically about the design and purpose of their investigation. They must determine what’s missing and how it affects the outcome.

Step 4b: Omit the plan

Instead of providing a step-by-step method, challenge students to devise their own experimental plans. This pushes them to apply their understanding of scientific concepts and fosters creativity in problem-solving.

Step 5: Analyse data like a pro

Teaching students to collect, visualise, and interpret data is crucial. Using AI tools to display class results can make data analysis more engaging and accessible. By linking their findings back to the research question, students develop deeper analytical skills.

Step 6: When practicals go wrong (or right!)

Failure is an integral part of scientific discovery. Encouraging students to reflect on unexpected results – whether positive or negative – teaches resilience, adaptability, and critical thinking.

Bonus step: Harness the power of a Science Challenge Club

A Science Challenge Club can provide a platform for students to explore scientific questions beyond the curriculum. Such clubs foster independent thinking and offer opportunities for students to work on long-term investigative projects, deepening their understanding and enthusiasm for science.

Final thoughts: why practical science is essential

Engaging students in hands-on science doesn’t just make lessons more interesting – it equips them with crucial skills:

  • Critical thinking: encourages deeper questioning and problem-solving.
  • Collaboration: strengthens teamwork and communication.
  • Real-world problem solving: helps students connect theory to practice.

As educators, we can design activities that challenge high-achieving students, encourage independent experiment design, and foster strong analytical skills. By doing so, we prepare students not only for exams but for real-world scientific challenges.

The future of science lies in the hands of the next generation. Let’s ensure they have the skills to think critically, innovate boldly, and explore fearlessly.


Related reading and resources:

Tags:  cognitive challenge  collaboration  critical thinking  pedagogy  problem-solving  resilience  science 

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Building metacognition; breaking down barriers to learning

Posted By Amanda Hubball, 11 November 2024

Amanda Hubball, Deputy Head and More Able Lead at Alfreton Nursery School, explores the power of metacognition in empowering young people to overcome potential barriers to achievement.  

Disadvantage presents itself in different ways and has varying levels of impact on learners. It is important to remember that disadvantage is wider than children who are in receipt of pupil premium or children who have a special educational need. Disadvantage can be based around family circumstances, for example bereavement, divorce, mental health… Disadvantages can be long-term or short-term and the fluidity of disadvantage needs to be acknowledged in order for educators to remain effective and vigilant for all children, including more able learners. If we accept that disadvantage can impact any child at any time, then it is essential that we provide all children with the tools they need to navigate challenge.    

More able learners are as vulnerable to the impact of disadvantage as other learners and indeed research would suggest that outcomes for more able learners are more dramatically impacted by disadvantage than outcomes for other children. A cognitive toolbox that is familiar, understood and accessible at all times, can be a highly effective support for learners when there are barriers to progress. By ensuring that all learners are taught metacognition from the beginning of their educational journey and year on year new metacognition skills are integrated, a child is empowered to maintain a trajectory for success.       

How can metacognition reduce barriers to learning?         

Metacognition supports children to consciously access and manipulate thinking strategies, thus enabling them to solve problems. It can allow them to remain cognitively engaged for longer, becoming emotionally dysregulated less frequently. A common language around metacognition enables learners to share strategies and access a clear point of reference, in times of vulnerability. Some more able learners can find it hard to manage emotions related to underachievement. Metacognition can help children to address both these emotional and cognitive demands.

In order for children to impact their long-term memory and fully embed metacognitive strategies, educators need to teach in many different ways. Metacognition needs to be visually reflected in the learner’s environment, supporting teachers to teach and learners to learn.   

How do we do this at Alfreton Nursery School?

At Alfreton Nursery School we ensure that discourse is littered with practical examples of how conscious thinking can result in deeper understanding. Spontaneous conversations are supported by visual aids around the classroom, enabling teachers and learners to plan and reflect on thinking strategies. Children are empowered to integrate the language of metacognition as they explain their learning and strive for greater understanding.

 

Adults in school use metacognitive terms when talking freely to each other, exposing children to their natural use. Missed opportunities are openly shared within the teaching team, supporting future developments.

Within enrichment groups, metacognition is a transparent process of learning. Children are given metacognitive strategies at the beginning of enhancement opportunities and encouraged to reflect and evaluate at the end. Whether working indoors or outdoors, with manipulatives or abstract concepts and individually or in a group, metacognition is a vehicle through which all learners can access lesson content.

We use the ‘Thinking Moves’ metacognition framework (you can read more about this here). Creative application of this framework supports the combination of metacognition words, to make strings of thinking strategies. For example, a puppet called FRED helps children to Formulate, Respond, Explain and Divide their learning experiences. A QUEST model helps children to follow a process of Questioning, Using, Explaining, Sizing and Testing.

Metacognition supports children of all abilities, ages and backgrounds, to overcome barriers to learning. Disadvantage is thus reduced.

Moving from intent to implementation

Systems and procedures at Alfreton Nursery School serve to scaffold day to day practice and provide a backdrop of expectations and standards. In order to best serve more able children who are experiencing disadvantage, these frameworks need to be explicit in their inclusivity and flexibility. Just as every policy, plan, assessment, etc will address the needs of all learners – including those who are more able – so all these documents explicitly address how metacognition will support all learners. To ensure that visions move beyond ‘intent’ and are fully implemented, systems need to guide provision through a metacognitive lens.  

Metacognition is woven into all curriculum documents. A systematic and dynamic monitoring system, which tracks the progress and attainment of all learners, ensures that children have equal focus on cognition and emotion, breaking down barriers with conscious intent.

 

At Alfreton Nursery School, those children who are more able and experiencing disadvantage receive a carefully constructed meta-curriculum which scaffolds their journey towards success, in whatever context that may manifest itself. Children learn within an environment where teachers can articulate, demonstrate and inculcate the power of metacognition, enabling children to be the best that they can be.

How is your school empowering and supporting young people to break down potential barriers to learning and achievement? Read more about NACE’s research focus for this academic year, and contact us to share your experiences.

 

Tags:  cognitive challenge  critical thinking  disadvantage  early years foundation stage  language  metacognition  oracy  pedagogy  problem-solving  resilience  underachievement  vocabulary 

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How can we identify and challenge more able learners in history?

Posted By Daisy Morley, 28 March 2022
Updated: 22 March 2022
Daisy Morley, primary teacher and history lead at Calcot Schools, outlines her approach to identifying and challenging more able learners in history – building historical knowledge, understanding and enquiry skills.
 
As a teacher it currently seems to me that a lot of attention is given to the children who need to meet age-related expectations. While these pupils’ needs are important and their needs must be met, this focus can mean that greater depth and ‘more able’ pupils are often forgotten. It is essential that more able learners are not neglected and are given ample opportunities to showcase their knowledge and shine.
 
History is one subject where, through careful consideration and planning, more able learners can thrive. Within this blog post, I will examine how to identify and challenge more able learners in history, in the context of primary teaching. These thoughts derive from personal experiences and from extensive research on the relevant literature and recent Ofsted reports. I will focus on ‘historical knowledge’, ‘historical understanding’ and ‘historical enquiry’ in order to suggest how we can think about challenging more able learners in history.

More able in history or just literacy?

Often, children whose strength lies in history will find that they are confident in literacy. Although strong literacy skills will greatly benefit their ability to share, form and communicate their ideas and findings, this does not necessarily mean that they are or will be more able historians. Interestingly, I think that the personal interests of children play a pivotal part in whether they have excelled in history beyond their age-related expectations. This is true from children as young as Year 1, to pupils nearing the end of their primary education. As educators, particularly if you are a subject leader, it is essential that time is taken to identify those children with a personal interest in history, and to provide them with opportunities to showcase their knowledge.

The building blocks: historical knowledge

First and foremost, the subject of history is rooted in knowledge; it is a knowledge-based subject (Runeckles, 2018: 10). While it is essential that pupils’ analytical skills are developed, this cannot be done without first ensuring that all pupils have a secure grounding in historical knowledge. This is also made clear in recent literature from Ofsted inspectors. Tim Jenner, HMI, Ofsted’s subject lead for history, has stated that when teaching history there must be an emphasis placed on content and knowledge (Jenner, 2021). In the most recent Ofsted reports, the term ‘knowledge’ has been divided into knowledge of ‘substantive concepts’, which relates to broader concepts, such as empire, monarch and economy, and ‘chronological knowledge’, which refers to the broader concepts within history, such as the key features of Anglo-Saxon England (Jenner, 2021).
 
The National Curriculum does expect pupils to “understand the methods of historical enquiry, including how evidence is used rigorously to make historical claims, and discern how and why contrasting arguments and interpretations of the past have been constructed” (DFE, 2013). The enquiry and analytical skills required to thrive in history are essential. However, these skills cannot be developed without first imparting the key historical knowledge to children.

Facts are the building blocks of history.

To emphasise this point, let us look at an example. Imagine a teacher wants to include a module on Boudicca in their history curriculum. Boudicca is listed in the National Curriculum for History under a non-statuary example, and has crucial ties with the statuary module on the Roman Empire and its impact on Britain. For the pupils to understand Boudicca’s historical significance, they would first need to have a secure grasp of the key features of the Roman Empire. Following this, they would then need to be taught the key components of Britain during this time. This knowledge would be essential before embarking on a specialised study of Boudicca. If the teacher then wished to hone and develop pupils’ analytical and enquiry skills, they could include a lesson on the conflicting sources that are available regarding Boudicca. To understand the primary written sources, however, they would first need to have a secure understanding of the historical knowledge of Boudicca, the Roman Empire, and the political landscape of Britain during this time.
 
Building historical knowledge takes time, as it requires a build-up of knowledge. As a result, educators may not see this accumulation of knowledge until a significant period of learning time has passed. Nevertheless, for children to develop their enquiry skills, historical knowledge is essential.

Developing historical understanding through open-ended questions

To see progression within a pupil’s historical understanding, historical knowledge, understanding and enquiry are best taught alongside one another. Historical knowledge and understanding are inextricably linked, and it would be difficult to separate these concepts within every lesson. Nevertheless, if a child is demonstrating the potential to achieve beyond the age-related expectations in history, their historical understanding could be one way to identify this – and thus to extend and challenge their learning. More able learners often process the key historical knowledge more quickly than their peers, which in turn means that they often quickly grasp the role of criteria in formulating and articulating an historical explanation or argument. Furthermore, more able learners are frequently able to draw generalisations and conclusions from a range of sources of evidence. One way to identify this could be ensuring that teachers ask open-ended questions, as the answers that children arrive at depend largely on questions asked.
 
I try to implement these open-ended questions in lessons, particularly across Key Stage 2. One approach which has worked particularly well came to light in a Year 3 lesson on “What did the diet of a typical Stone Age person encompass in prehistoric Britain?” This lesson relied on enquiry-based learning, which, although sometimes more difficult to deliver, lent itself well to inputting open-ended questions and highlighted the investigative nature of history. The children were given ‘organic evidence’ (pretend human waste), which pivoted around unpicking evidence and how historians use different types of evidence to find out about the past.
 
From this lesson, after unpicking our evidence, all of the children were able to deduce that prehistoric people ate nuts, seeds and berries. Pupils with a more advanced understanding were able to conclude that prehistoric inhabitants had to find food for themselves and that this is one of the reasons people from that time are called ‘hunter-gatherers’, because they had to hunt and gather their food.
 
For the children who had already come to the conclusions about hunter-gatherers, I asked more open-ended questions, which required them to draw their own conclusions, using the evidence that had been assessed, including “What about the meat?”, “Why haven’t we found meat in the organic evidence?” Some of these children were able to utilise their knowledge from previous lessons on Stone Age Britain and concluded that there were certain dangers in finding meat. They explained that people had to kill the animal and prepare it themselves, which was dangerous. One child even went on to say that meat also rots and that may have been why there was no surviving meat within the evidence. Although these open-ended questions help to stretch the more able learners, it does require teachers to direct the more challenging questions to the correct pupils, which relies on teachers knowing which of the pupils are excelling in history. 

Making links: developing historical enquiry skills

I often find that historical enquiry skills are the hardest to master. From teaching this within lessons, it seems the key component to identifying the more able learners in history is to identify whether the pupils can link history together. Can they use their knowledge to comment on how the lives of people from the past have changed over time? Can they identify trends and commonalities between contemporary cultures? Do they notice how key changes transformed the lives and the culture of a particular civilisation? Perhaps most essentially, can the more able children use their historical knowledge and understanding to draw conclusions on events, people and places from the past? This relies on a pupil being able to problem-solve and reason with evidence, and apply this knowledge in order to evaluate the evidence in question.
 
Below is an example of a child’s work. The lesson was titled “What was bronze used for?”

 
I have chosen this example because this pupil was able to link their knowledge together, to form their own conclusions, which were based on key factual knowledge. For example, this child independently came to the conclusion that because their weapons were better, their quality of life improved. Amazingly, this pupil also commented on the fact that people from the Bronze Age in Britain no longer had to kill animals to make clothes, which meant that their lives really changed. Below is another example of a pupil drawing from their accumulated knowledge, in order to compare and contrast civilisations:

This is another example of a greater-depth learner in action. They had knowledge of Greece and Rome, and a battle that took place. Already, it is clear that they have an understanding of the cross-over and interaction between these two civilisations. Not only this, but they also know that trade took place between the two civilisations. Finally, they have commented on how this trade is clear from primary evidence. This pupil has not only demonstrated that they hold a secure knowledge of the Battle of Corinth, but they have also highlighted their ability to use evidence to draw their own historically valid conclusions.
 
To support and enable pupils to draw conclusions and analogies from historical sources, it is vital for the teacher to model how to do this (Runeckles, 2018:52). In mathematics, for example, you would not expect children to solve a worded problem on multiplication, which required reasoning, without first teaching them the basic skills of multiplication. How often do you model being a historian to your class?
 
For example, imagine you are teaching your class about the Spartans. The written sources on Sparta derive largely from sources written at a much later date, and not composed by Spartans. One could take an example from a Roman scholar (Aristotle or Plato) on the Spartan education system, the Agoge, and explain that these individuals were Roman and lived two hundred years after Classical Greece had ended. One could then ask, “How might that affect their account?” This sort of task could be implemented within a range of topics and encourages a dialogue between teachers and pupils. If these enquiry-based examples and questions are built into lessons, across modules, pupils are provided with opportunities to enhance their ability to analyse evidence and draw conclusions from a vast amount of evidence.

And finally…

Although I have separated the teaching of history into historical knowledge, historical understanding and historical enquiry, ultimately each of these elements is best taught concurrently. It is possible to include each of these aspects within one lesson, particularly as they are inextricably linked. 
Perhaps most importantly, it is crucial to ensure that teachers are ambitious, not only with curriculum coverage, but also with regards to their expectations of pupils. Regardless of whether pupils have demonstrated that they are more able, children of all abilities thrive on high expectations and on knowing their teacher believes they can and will accomplish great things. So get your young historians thinking!

References

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Tags:  critical thinking  enquiry  history  humanities  KS2  literacy  problem-solving  questioning 

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Metacognition for higher-attaining learners: “the debrief”

Posted By Kirstin Mulholland, 15 February 2022
Dr Kirstin Mulholland, Content Specialist for Mathematics at the Education Endowment Foundation (EEF), shares a metacognitive strategy she’s found particularly helpful in supporting – and challenging – the thinking of higher-attaining pupils: “the debrief”.

Why is metacognition important?

Research tells us that metacognition and self-regulated learning have the potential to significantly benefit pupils’ academic outcomes. The updated EEF Teaching and Learning Toolkit has compiled well over 200 school-based studies that reveal a positive average impact of around seven months progress. But it also recognises that "it can be difficult to realise this impact in practice as such methods require pupils to take greater responsibility for their learning and develop their understanding of what is required to succeed”  .

Approaches to metacognition are often designed to give pupils a repertoire of strategies to choose from, and the skills to select the most suitable strategy for a given learning task. For high prior attaining pupils, this offers constructive and creative opportunities to further develop their knowledge and skills.

How can we develop metacognition in the classroom?

In my own classroom, a metacognitive strategy which I’ve found particularly helpful in supporting – and, crucially, challenging – the thinking of higher-attaining pupils is “the debrief”. The debrief as an effective learning strategy links to Recommendation 1 of the EEF’s Metacognition and Self-regulated Learning Guidance Report (2018), which highlights the importance of encouraging pupils to plan, monitor and evaluate their learning. 

In a debrief, the role of the teacher is to support pupils to engage in “structured reflection”, using questioning to prompt learners to articulate their thinking, and to explicitly identify and evaluate the approaches used. These questions support and encourage pupils to reflect on the success of the strategies they used, consider how these could be used more effectively, and to identify other scenarios in which these could be useful. 

Why does this matter for higher-attaining pupils?

When working in my own primary classroom, I found that encouraging higher-attaining pupils to explicitly consider their learning strategies in this way provides an additional challenge. Initially, many of the pupils I’ve worked with have been reluctant to slow down to consider the strategies they’ve used or “how they know”. Some have been overly focused on speed or always “getting things right” as an indication of success in learning. 

When I first introduced the debrief into my own classroom, common responses from higher-attaining pupils were “I just knew” or “It was in my head”. However, what I also experienced was that, for some of these pupils, because they were used to quickly grasping new concepts as they were introduced, they didn’t always develop the strategies they needed for when learning was more challenging. This meant that, when faced with a task where they didn’t “just know”, some children lacked resilience or the strategies they needed to break into a problem and identify the steps needed to work through this. 

As I incorporated the debrief more and more frequently into my lessons, I saw a significant shift. Through my questioning, I prompted children to reflect on the rationale underpinning the strategies they used. They were also able to hear the explanations given by others, developing their understanding of the range of options available to them. This helped to broaden their repertoire of knowledge and skills about how to be an effective learner.  

How does the debrief work in practice?

Many of the questions we can use during the debrief prompt learners to reflect on the “what” and the “why” of the strategies they employed during a given task. For example, 

  • What exactly did you do? Why?
  • What worked well? Why?
  • What was challenging? Why?
  • Is there a better way to…?
  • What changes would you make to…? Why?

However, I also love asking pupils much more open questions such as “What have you learned about yourself and your learning?” The responses of the learners I work with have often astounded me! They have encompassed not just their understanding of the specific learning objectives identified for a given lesson, but also demonstrating pupils’ ability to make links across subjects and to prior learning. This has led to wider reflections about their metacognition – strengths or weaknesses specific to them, the tasks they encountered, or the strategies they had used – or their ability to effectively collaborate with others. 

For me, the debrief provides an opportunity for pupils’ learning to really take flight. This is where reflections about learning move beyond the boundaries and limitations of a single lesson, and instead empower learners to consider the implications of this for their future learning. 

For our higher-attaining pupils, this means enabling them to take increasing ownership over their learning, including how to do this ever more effectively. This independence and control is a vital step in becoming resilient, motivated and autonomous learners, which sets them up for even greater success in the future. 

References


 

Tags:  cognitive challenge  critical thinking  language  maths  metacognition  pedagogy  problem-solving  questioning 

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3 activities to improve the use of mathematical vocabulary in your classroom

Posted By Ems Lord, 11 February 2022

Dr Ems Lord, Director of the University of Cambridge’s NRICH initiative, shares three activities to try in your classroom, to help learners improve their use of mathematical vocabulary.

Like many academic subjects, mathematics has developed its own language. Sometimes this can lead to humorous clashes when mathematicians meet the real world. After all, when we’re calculating the “mean”, we’re not usually referring to a measurement of perceived nastiness (unless it’s the person who devised the problem we’re trying to solve!). 

Precision in our use of language within mathematics does matter, even among school-aged learners. In my experience, issues frequently arise in geometry sessions when working with pyramids and prisms, squares and rectangles, and cones and cylinders. You probably have your own examples too, both within geometry and the wider curriculum. 

In this blog post, I’ll explore three tried-and-tested ways to improve the use of mathematical vocabulary in the classroom.

1. Introduce your class to Whisper Maths

“Prisms are for naughty people, and pyramids are for dead people.” Even though I’ve heard that playground “definition” of prisms and pyramids many times before, it never fails to make me smile. It’s clear that the meanings of both terms cause considerable confusion in KS2 and KS3 classrooms. Don’t forget, learners often encounter both prisms and pyramids at around the same time in their schooling, and the two words do look very similar. 

One useful strategy I’ve found is using an approach I like to refer to as Whisper Maths; it’s an approach which allows individuals time to think about a problem before discussing it in pairs, and then with the wider group. For Whisper Maths sessions focusing on definitions, I tend to initially restrict learner access to resources, apart from a large sheet of shared paper on their desks; this allows them to sketch their ideas and their drawings can support their discussions with others. 

This approach helps me to better understand their current thinking about “prismness” and “pyramidness” before moving on to address any misconceptions. Often, I’ve found that learners tend to base their arguments on their knowledge of square-based pyramids which they’ve encountered elsewhere in history lessons and on TV. A visit to a well-stocked 3D shapes cupboard will enable them to explore a wider range of examples of pyramids and support them to refine their initial definition. 

I do enjoy it when they become more curious about pyramids, and begin to wonder how many sides a pyramid might have, because this conversation can then segue nicely into the wonderful world of cones! 

2. Explore some family trees 

Let’s move on to think about the “Is a square a rectangle?” debate. I’ve come across this question many times, and similarly worded ones too. 

As someone who comes from a family which talks about “oblongs”, I only came across the “Is a square a rectangle?” debate when I became a teacher trainer. For me, using the term oblong meant that my understanding of what it means to be a square or an oblong was clear; at primary school I thought about oblongs as “stretched” squares. This early understanding made it fairly easy for me to see both squares and oblongs (or non-squares!) as both falling within the wider family of rectangles. Clearly this is not the case for everyone, so having a strategy to handle the confusion can be helpful. 

Although getting out the 2D shape box can help here, I prefer to sketch the “family tree” of rectangles, squares and oblongs. As with all family trees, it can lead to some interesting questions when learners begin to populate it with other members of the family, such the relationship between rectangles and parallelograms.

3. Challenge the dictionary!

When my classes have arrived at a definition, it’s time to pull out the dictionaries and play “Class V dictionary”. To win points, class members need to match their key vocabulary to the wording in the dictionary. For the “squares and rectangles” debate, I might ask them to complete the sentence “A rectangle has...”. Suppose they write “four sides and four right angles”, we would remove any non-mathematical words, so it now reads “four sides, four right angles.” Then we compare their definition with the mathematics dictionary.

They win 10 points for each identical word or phrase, so “four right angles, four sides” would earn them 20 points. It’s great fun, and well worth trying out if you feel your classes might be using their mathematical language a little less imprecisely than you would like.

More free maths activities and resources from NRICH…

A collaborative initiative run by the Faculties of Mathematics and Education at the University of Cambridge, NRICH provides thousands of free online mathematics resources for ages 3 to 18, covering early years, primary, secondary and post-16 education – completely free and available to all. 

The NRICH team regularly challenges learners to submit solutions to “live” problems, choosing a selection of submissions for publication. Get started with the current live problems for primary students, live problems for secondary students, and live problems for post-16 students.

Tags:  free resources  language  maths  myths and misconceptions  pedagogy  problem-solving  vocabulary 

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Phiddlywinks: have you tried it yet?

Posted By NRICH, University of Cambridge, 04 June 2021
In March this year, NACE members had the opportunity to preview and trial a new maths game being developed by the team at NRICH – a University of Cambridge initiative providing free online maths resources that promote challenging, enriching learning experiences.
 
The game in question has now been launched, and in this blog post the NRICH team explain how it works, and how you and your learners can get playing.
 
Question: What happens when you bring together Tiddlywinks and football?
 
Answer: You get Phiddlywinks!
 
In this blog we’ll learn more about Phiddlywinks, including the charismatic mathematician who inspired the game and role of NACE members in bringing it to our screens.

What is Phiddlywinks?

Phiddlywinks is a strategy game for two players. The winner is the first player to get the white counter into the coloured region at the opposite end of the board. Player 1 is aiming for the blue region and Player 2 for the red region.
Phiddlywinks 
The game begins with the white counter in the centre circle.
 
Players take it in turns to either:
  • Place a black counter on the board or
  • Move the white counter.
The white counter moves by jumping in a straight line over one or more black counters. A player may be able to make more than one jump when it is their turn.
 
To get started, consider this screenshot from a game which is underway. Both players have chosen to use their turns to add black counters to the board (you’ll notice that the white counter remains in its starting position). It is Player 1’s turn. Can you see how Player 1 might move the white counter to win the game?
 
Phiddlywinks 
 
Here’s one possible winning move:
  • Player 1 clicks on 7E (or 8F) and the white counter moves to 9G
  • Player 1 clicks on 9F (or 9E) and the white counter moves to 9D
  • Player 1 clicks on 9C and the white counter moves to 9B
  • Player 1 clicks on 10B and the white counter will move to 11B, winning the game!
Do take some time exploring the interactivity. To help you learn to play the game, we’ve uploaded more mid-game scenarios here. You can also print off black and white or colour versions of the board.

Who was the inspiration behind Phiddlywinks?

John Horton Conway was a prize-winning mathematician who loved creating new games for all ages. He is best known to many for creating the Game of Life. He also developed a game called Philosopher's Football (also known as Phutball) which challenged players to manoeuvre a ball across a large grid towards their opponent's goal-line. Not surprisingly, the game soon became popular with his university students.
 
We have taken Phutball as the inspiration for our Phiddlywinks. We piloted the developmental version of the game with NACE members at a specially organised online event attended by both primary and secondary colleagues. The feedback from teachers attending NACE event, and the follow-up response from the classes of NACE members who kindly trialled Phiddlywinks with their classes, enabled our team to prepare the game for its release.
 
Phiddlywinks is almost identical to Philosopher's Football except that the white ball has become a white counter and the players have become black counters. The rules are the same but Phiddlywinks is played on a much smaller board. The way the counters move reminded us more of Tiddlywinks than football, hence the alternative name.
 
The NRICH team would like to acknowledge the support of NACE and its members who kindly trialled our initial version of the game, giving us invaluable feedback which informed the development of Phiddlywinks.
 
What maths games and activities have you and your learners been enjoying this year? Share your ideas in the comments below or in the NACE community forums.

Tags:  enrichment  free resources  maths  problem-solving  remote learning 

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Providing effective challenge in mixed ability classrooms

Posted By Keith Watson FCCT, 22 March 2021
Dr Keith Watson, NACE Curriculum Development Director
 
What I Talk About When I Talk About Running by Haruki Murakami is one of my favourite books… even if reading it did not make me run faster. The title did, however, lead me to ask students: “What do you think about when you think about learning?” This is not an easy question to answer. We increasingly recognise the importance of developing metacognition in learning and the need to challenge pupils cognitively, but this is not always easy in the mixed ability classroom.
 
In the NACE report Making space for able learners – Cognitive challenge: principles into practice (2020), cognitive challenge is defined as “how learners become able to understand and form complex and abstract ideas and solve problems”. We want students to achieve these high ambitions in their learning, but how is this achieved in a mixed ability class with increasing demands on the teacher, including higher academic expectations? The NACE report provides case studies showing where this has been achieved and highlights the common features across schools that are achieving this – and these key themes are worth reflecting upon.

What do we mean by “challenge for all”?

“Challenge for all” is the mantra often recited, but is it a reality? At times it can appear that “challenge” is just another word for the next task. Or, perhaps, just a name for the last task. Working with teachers recently I asked: why do the more able learners need to work through all the preceding the tasks to get to the “challenge”? Are you asking them to do other work that is not challenging? Or coast until it gets harder? A month later the same teachers talked about how they now move those learners swiftly on to the more challenging tasks, noting that their work had improved significantly, they were more motivated and the learning was deeper. This approach also led to learners being fully engaged, meaning the teacher could vary the support needed across the class to ensure all pupils were challenged at the appropriate level.
 
“Teaching to the top” is another phrase widely used now and it is a good aspiration, although at times it is unclear what the “top” is. Is it grade 7 at GCSE or perhaps greater depth in Year 6? It is important to have these high expectations and to expose all learners to higher learning, but we need to remember that some of our learners can go even higher but also be challenged in ways that do not relate to exams. For instance, at Copthorne Primary School, the NACE report notes that “pupils are regularly set complex, demanding tasks with high-level discourse. Teachers pitch lessons at a high standard”. Note the reference to discourse – a key feature of challenge is the language heard in the classroom, whether from adults or learners. The “top” is not merely a grade; it is where language is rich and learning is meaningful, including in early years, where we often see the best examples.

Are your questions big enough?

The use of “low threshold, high ceiling” tasks are helpful in a mixed ability class, with all pupils able to access the learning and some able to take it further. In maths, a question as simple as “How many legs in the school?” can lead to good outcomes for all (including those who realise the question doesn’t specify human legs). But there is often a danger that task design can be quite narrow. The minutiae of the curriculum can push teachers to bitesize learning, which can be limiting – especially when a key aim has to be linking the learning through building schema. Asking “Big Questions” can extend learning and challenge all learners. The University of Oxford’s Oxplore initiative offers a selection of Big Questions and associated resources for learners to explore, such as “Should footballers earn more than nurses?” and “Can money buy happiness?”. There is a link to philosophy for children here, and in cognitively challenging classrooms we see deep thinking for all pupils.

Can your learners build more complex schema?

All pupils need to build links in their learning to develop understanding, and more able learners can often build more detailed schema. To give a history example, understanding the break from Rome at the time of Henry VIII could be learned as a series of separate pieces of knowledge: marriage to Catherine of Aragon, the need for a male heir, wanting a divorce in order to marry Anne Boleyn, the religious backdrop, etc. Knowing these items is one thing, but learners need to make links between them and create a schema of understanding. The more able the pupil, the more links can be made, again deepening understanding. That is why in cognitively challenging classrooms skilled teachers ask questions such as:
  • What does that link to?
  • What does that remind you of?
  • When have you seen this before?
  • What is this similar to? Why?
These questions are especially useful in a busy mixed ability classroom. Prompt questions like these can be used in a range of situations, rather than always requiring another task for the more able pupil who has “finished”. (As if we have ever really finished)

Are you allowing time for “chunky” problems?

So, what else provides challenge? The NACE report notes: “At Portswood Primary School pupils are given ill-structured problems, chunky problems, and compelling contexts for learning”. Reflecting upon the old literacy hour, I used to joke: “Right Year 5, you have 20 minutes to write like Charles Dickens. Go!” How could there be depth of response and high-level work in such short time scales? What was needed were extended tasks that took time, effort, mistakes, re-writes and finally resolution. The task often needed to be chunky. Some in the class will need smaller steps and perhaps more modelling from the teacher, but for the more able learners their greater independence allows them to tackle problems over time. 
 
This all needs organising with thought. It does not happen by accident. With this comes a sense of achievement and a resolution. Pupils are challenged cognitively but need time for this because they become absorbed in solving problems. This also works well when there are multiple solution paths. In a mixed ability class asking the more able to find two ways to solve a problem and then decide which was the most efficient or most effective can extend thinking. It also calls upon higher-order thinking because they are forced to evaluate. Which method would be worth using next time? Why? Justify. This also emphasises the need to place responsibility with the learner. “At Southend High School for Boys, teachers are pushed to become more sophisticated with their pedagogy and boost pupils’ cognitive contribution to lessons rather that the teacher doing all the work”. In a mixed ability class this is vital. How hard are your pupils working and, more importantly, thinking? 
 
I wrote in a previous blog post about how essential the use of cutaway is in mixed ability classes. Retrieval practice, modelling and explanation are vital parts of a lesson, but the question is: do all of the students in your class always need to be part of that? A similar argument is made here. More able learners are sometimes not cognitively challenged as much in whole-class teaching and therefore, on occasion, it is preferable for these pupils to begin tasks independently or from a different starting point. 
 
As well as being nurturing, safe and joyful, we all want our classrooms to be cognitively challenging. This is a certainly not easy in a mixed ability class but it can be achieved. High expectations, careful task design and an eye on big questions all play a part, alongside the organisation of the learning. In this way our teaching can be improved significantly – far more than my running ever will be…

Related blog posts

Additional reading and support

Tags:  cognitive challenge  grouping  metacognition  problem-solving  questioning  research 

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Using “Genius Hour” projects to challenge and motivate students

Posted By Emma Sanderson, 12 January 2021

Emma Sanderson, Head of English at NACE member and Challenge Award-accredited Hartland International School (Dubai), shares advice for successful use of “Genius Hour” project-based learning to challenge and motivate learners, inspired by Google’s “20% time”.

As teachers, our awareness of the importance of challenging questions is always at the forefront of our minds, particularly with our more able learners. However, the onus of asking challenging questions shouldn’t always be placed on the teacher. Cue Genius Hour, an idea inspired by Google’s “20% time”, in which employees are encouraged to spend 20% of their time working on any project of their choosing, on the condition that it ultimately benefits the company in some way, and which is famously credited with giving rise to many of Google’s most successful innovations.

Google’s “20% time” is similar to the use of Genius Hour in our school: encouraging students to take ownership of their learning by using a proportion of curriculum time to focus on topics they are passionate about. By coming up with their own driving question to focus their research, students manage their own learning journey and subsequently become even more engaged with the learning process.

Here are three key steps to use Genius Hour project-based learning effectively:

1) Support students to develop their driving question.

The driving question of the project will become the focus of the students’ research. Whilst students may be tempted to simply find out more information about a topic close to their heart, the key is to construct a question that allows for in-depth research and is also broad enough for students to include their personal opinions. Even our most able learners will need support with this task, and for this, question stems can be incredibly useful:

  • What does _______ reveal about _________?
  • To what extent does…?
  • What motivates_________?
  • How would you develop…?
  • What alternatives are there for…?
  • How can technology be used to…?
  • What assumptions are there about…?
  • What are the [ethical] implications of…?
  • How can we challenge…?
  • What would happen if…?
  • How can we improve…?
  • What might happen if…?

Students might be encouraged to come up with solutions to real-life problems or delve into ideas linked to current affairs that they are intrigued by. Either way, these broad question stems allow for thorough exploration of a topic.

2) Help students develop their research skills.

Left to their own devices, students may be tempted to simply Google their question and see what answers come up. Instead, offer guidance on the best and most reliable sources of information for their project.

It may be that students are directed towards relevant reference books in the library. Additionally, online resources can prove invaluable; the Encyclopaedia Britannica offers a wealth of knowledge for students, whilst news websites aimed at teenagers (for example Newsela and The Day) encourage students to form their own opinions on current affairs and offer suggestions for further reading.

Our more able learners may be more adept at focusing their internet searches and filtering through the vast array of results. If this is the case, students would be expected to determine whether a source is reliable or biased and should be confident at citing their sources.

3) Encourage creativity in how students present their findings.

Ideally, students will be excited and motivated to complete their Genius Hour project, and originality in how they present their results should be encouraged. Students may want to create a video, make a presentation, write a passionate and persuasive speech, design an informative leaflet… The more freedom the students have, the more their creativity will flourish. 

One of our students gave a rousing speech on the question, “What alternatives are there to living on planet Earth?” (ultimately concluding there were none and that we need to change our lifestyles in order to save the planet). Another offered a passionate presentation on the theme “How can we improve Earth’s biodiversity while allowing people to still eat meat and plants?” And after witnessing the impact of Covid-19 first hand, one student wrote an insightful article to answer the question, “What has Covid-19 revealed about our society in 2020?”

This approach to project-based learning can also be effectively applied during distance learning – students can be given the success criteria for the project and set the challenge of managing their own time. There is ample opportunity to use technology to give presentations remotely, either live through Zoom or Teams, or recorded individually using a platform such as Flipgrid. 

In summary…

Overall, Genius Hour is a fantastic tool to promote deeper thinking in the classroom, whilst also having huge benefits across the wider curriculum. We have found this approach has worked particularly well with Key Stage 3 students and is the perfect opportunity to refine the research and presentation skills required at GCSE, whilst also impacting positively across the curriculum in all lessons. Furthermore, it sends the message to students that their passions outside of school are valued, which in itself can prove to be hugely motivational. Presenting their findings at the end of the project instils confidence in our learners, giving them the vital communication, leadership and time management skills necessary for life beyond education. 


Further reading: “Cognitive challenge: principles into practice”

NACE’s report “Cognitive challenge: principles into practice” explores approaches to curriculum and pedagogy which optimise the engagement, learning and achievement of very able young people, combining relevant research and theory with examples of current practice in NACE Challenge Award-accredited schools. Preview and order here.

Not yet a NACE member? Find out more, and join our mailing list for free updates and free sample resources.

Tags:  confidence  creativity  enquiry  enrichment  independent learning  motivation  problem-solving  project-based learning  questioning  research 

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3 key ingredients for cognitive challenge

Posted By Ann McCarthy, 17 November 2020
Dr Ann McCarthy, NACE Associate and co-author of NACE’s new publication “Cognitive challenge: principles into practice”.
 
When you’re planning a lesson, are your first thoughts about content, resources and activities, or do you begin by thinking about learning and cognitive challenge? How often do you consider lessons from the viewpoint of your more able pupils? Highly able pupils often seek out cognitively challenging work and can become distressed or disengaged if they are set tasks which are constantly too easy.
 
NACE’s new research publication, “Cognitive challenge: principles into practice”, marks the first phase in our “Making Space for Able Learners” project. Developed in partnership with NACE Challenge Award-accredited schools, the research examines the impact of cognitive challenge in current school practice against a backdrop of relevant research.

What do we mean by ‘cognitive challenge’?

Cognitive challenge can be summarised as an approach to curriculum and pedagogy which focuses on optimising the engagement, learning and achievement of highly able children. The term is used by NACE to describe how learners become able to understand and form complex and abstract ideas and solve problems. Cognitive challenge prompts and stimulates extended and strategic thinking, as well as analytical and evaluative processes.
 
To provide highly able pupils with the degree of challenge that will allow them to flourish, we need to build our planning and practice on a solid foundation.
 
This involves understanding both the nature of our pupils as learners and the learning opportunities we’re providing. When we use “challenge” as a routine, learning will be extended at specific times on specific topics – which has useful but limited benefit. However, by strategically building cognitive challenge into your teaching, pupils’ learning expertise, their appetite for learning and their wellbeing will all improve.
 

What does this look like in practice?

The research identified three core areas:

1. Design and management of cognitively challenging learning opportunities 

In the most successful “cognitive challenge” schools, leaders have a clear vision and ambition for pupils, which explicitly reflects an understanding of teaching more able pupils in different contexts and the wider benefits of this for all pupils. This vision is implemented consistently across the school. All teachers engage with the culture and promote it in their own classrooms, involving pupils in their own learning. When you walk into any classroom in the school, pupils are working to the same model and expectation, with a shared understanding of what they need to do.
 
Pupils are able to take control of their learning and become more self-regulatory in their behaviours and increasingly autonomous in their learning. Through intentional and well-planned management of teaching and learning, children move from being recipients in the learning environment to effective learners who can call on the resources and challenges presented. They understand more about their own learning and develop their curiosity and creativity by extending and deepening their understanding and knowledge.

2. Rich and extended talk and cognitive discourse to support cognitive challenge 

The importance of questions and questioning in effective learning is well understood, but the importance of depth and complexity of questioning is perhaps less so. When you plan purposeful, stimulating and probing questions, it gives pupils the freedom to develop their thought processes and challenge, engage and deepen their understanding. Initially the teacher may ask questions, but through modelling high-order questioning techniques, pupils in turn can ask questions which expose new ways of thinking.
 
This so-called “dialogic teaching” frames teaching and learning within the perspective of pupils and enhances learning by encouraging children to develop their thinking and use their understanding to support their learning. Initially, pupils might use the knowledge the teacher has given them, but when they’re shown how to use classroom discourse effectively, they’ll start to work alone, with others or with the teacher to extend their repertoire.
 
By using an enquiry-orientated approach, you can more actively engage children in the production of meaning and acquisition of new knowledge and your classroom will become a more interactive and language-rich learning domain where children can increase their fluency, retrieval and application of knowledge.

3. Curriculum organisation and design

How can you ensure your curriculum is organised to allow cognitive challenge for more able pupils? You need to consider:
  • What is planned for the students
  • What is delivered to the students
  • What the students experience
Schools with a high-quality curriculum for cognitive challenge use agreed teaching approaches and a whole-school model for teaching and learning. Teachers expertly and consistently utilise key features relating to learning preferences, knowledge acquisition and memory.
 
Planning a curriculum for more able pupils means providing a clear direction for their learning journey. It’s necessary to think beyond individual subjects, assessment systems, pedagogy and extracurricular opportunities, and to look more deeply at the ways in which these link together for the benefit of your pupils. If teachers can understand and deliver this curriculum using their subject knowledge and pedagogical skills, and if your school can successfully make learning visible to pupils, you’ll be able to move from well-practised routines to highly successful and challenging learning experiences.

Taking it further…

If we’re going to move beyond the traditional monologic and didactic models of teaching, we need to recast the role of teacher as a facilitator of learning within a supportive learning environment. For more able pupils this can be taken a step further. If you can build cognitive challenge into your curriculum and the way you manage learning, and support this with a language-rich classroom, the entire nature of teaching and learning can change. Your highly able pupils will become increasingly autonomous and more self-reliant. They’ll become masters of their learning as they gain a deeper understanding of the subject matter. You can then extend your role even further, from learning facilitator to “learner activator”.
 
This blog post is based on an article originally written for and published by Teach Primary magazine – read the full version here.
 

Additional reading and support:

Tags:  cognitive challenge  creativity  critical thinking  curriculum  independent learning  metacognition  mindset  oracy  pedagogy  problem-solving  questioning  research  student voice 

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