By Anne Watson Why am I talking about linear equations? Thinking about them takes me to several important hidden threads in school mathematics, wondering how learners might pull ideas together meaningfully. It is also helpful that there has been some research about ‘solving’ them. What is linear anyway? I started by searching textbooks and the […]
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By Rehana Akhtar It has always been a recurring thought to me over my years of teaching as to ‘Why do pupils need to be re-taught and why do they not retain key skills and concepts?’ The Program for International Student Assessment (PISA) is a worldwide study by OECD (The Organisation for Economic Co-operation and […]
Read moreWhat can we learn from the 2019 GCSE Mathematics papers? By Jemma Sherwood We have now seen the third year of the new GCSE in Mathematics and we are starting to get a feel for the question types, the mix of procedure and application, and the complexity of the problems. It is clearly a different […]
Read moreI was surprised to hear that in the pre-2013 Key Stage 3 national curriculum there was only one statement about ratio, whereas in the current version there are ten statements. I was surprised because I did not remember, from my work on the development of the current curriculum, that there were so many, so I […]
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By Gemma Bott At last the final half term of the year has arrived. The time of year when you can get caught up with all of those jobs you’ve been putting off or just not had time to do. For secondary school teachers, exam classes have left, hopefully leaving extra PPA time in the […]
Read moreLesson Study in Japan is a model of teacher-led research in which a group of teachers collaborate to target a particular area for development in their students’ learning. Based on their prior teaching, the group of teachers work together to research, plan, teach and observe a series of lessons, using ongoing discussion, reflection and expert […]
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Andy Chandler-Grevatt Back to School. The end of the summer break and the new term. New students, new timetable, new you? What will you do differently this school year? An often neglected part of our ambitions, planning and targets is looking after ourselves. How are you going to look after yourself this year? Teachers are […]
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Professor Chris Kyriacou I have spent more than 30 years teaching about and doing research on what constitutes ‘effective’ teaching. Over the years I have become more and more convinced that the key to being a successful teacher, both in terms of the quality of learning you promote, and in terms of maintaining your own […]
Read moreConsistent use of images supports the understanding of mathematical structures. The outstanding examples of this in mathematics have become ‘canonical’, that is part of the mathematical canon. At school level these canonical images are: number line; function graphs (thankyou Descartes); 2-dimensional combination grids (thankyou Omar Khayyam and Cayley); Venn diagrams (thankyou Cantor and Charles Dodgson). […]
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I have been floating the idea of treating key mathematics ideas as handrails for teachers and students. Recently several positive comments about this perspective have floated back to me, so I am sharing the idea with you. In mathematics, teaching key ideas could be handrails. Handrails can be held, used as guides or supports, or […]
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