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Brought to an American audience for the first time, How I Wish I'd Taught Maths is the story of an experienced and successful math teacher's journey into the world of research, and how it has entirely transformed his classroom.
"I genuinely believe I have never taught mathematics better, and my students have never learned more. I just wish I had known all of this twelve years ago."Craig Barton is one of the UK's most respected teachers of mathematics. In his remarkable new book, he explains how he has delved into the world of academic research and emerged with a range of simple, practical, effective strategies that anyone can employ to save time and energy and have a positive impact on the long-term learning and enjoyment of students. Craig presents the findings of over 100 books and research articles from the fields of Cognitive Science, Memory, Psychology and Behavioural Economics, together with the conversations he has had with world renowned educational experts on his Mr Barton Maths Podcast, and subsequent experiments with my students and colleagues.
Readers, be warned: you are about to fall in love. Tracy writes, "Good math teaching begins with us." With those six words, she invites you on a journey through this most magnificent book of stories and portraits...This book turns on its head the common misconception of mathematics as a black-and-white discipline and of being good at math as entailing ease, speed, and correctness. You will find it full of color, possibility, puzzles, and delight...Let yourself be drawn in. Elham Kazemi, professor, math education, University of Washington While mathematicians describe mathematics as playful, beautiful, creative, and captivating, many students describe math class as boring, stressful, useless, and humiliating. In Becoming the Math Teacher You Wish You'd Had, Tracy Zager helps teachers close this gap by making math class more like mathematics. Tracy spent years with highly skilled math teachers in a diverse range of settings and grades. You'll find this book jam-packed with new thinking from these vibrant classrooms. You'll grapple with big ideas: How is taking risks inherent to mathematics? How do mathematicians balance intuition and proof? How can teachers value both productive mistakes and precision? You'll also find dozens of practical teaching techniques you can try in your classroom right away--strategies to stimulate students to connect ideas; rich tasks that encourage students to wonder, generalize, conjecture, and persevere; routines to teach students how to collaborate. All teachers can move toward increasingly authentic, delightful, robust mathematics teaching and learning for themselves and their students. This important book helps us develop instructional techniques that will make the math classes we teach so much better than the math classes we took.
How to Teach Maths challenges everything you thought you knew about how maths is taught in classrooms. Award-winning author Steve Chinn casts a critical eye over many of the long-established methods and beliefs of maths teaching. Drawing from decades of classroom experience and research, he shows how mathematics teaching across the whole ability range can be radically improved by learning from the successful methods and principles used for the bottom quartile of achievers: the outliers. Chinn guides readers through re-adjusting the presentation of maths to learners, considering learners’ needs first, and explains the importance of securing early learning to create a conceptual foundation for later success. This highly accessible book uses clear diagrams and examples to support maths teachers through many critical issues, including the following: The context of maths education today Topics that cause students the most difficulty Effective communication in the mathematics classroom Addressing maths anxiety The perfect resource for maths teachers at all levels, this book is especially useful for those wanting to teach the foundations of mathematics in a developmental way to learners of all ages and abilities. It has the potential to change the way maths is taught forever.
researchED is an educator-led organisation with the goal of bridging the gap between research and practice. This accessible and punchy series, overseen by founder Tom Bennett, tackles the most important topics in education, with a range of experienced contributors exploring the latest evidence and research and how it can apply in a variety of classroom settings.In this edition, Craig Barton busts the most damaging myths in education, editing contributions from writers including: Doug Lemov; Bob and Elizabeth Bjork; Mark Enser; and Claire Sealy.
Teaching is complex. But there are simple ideas we can enact to help our teaching be more effective. This book contains over 400 such ideas. The ideas come from two sources. First, from the wonderful guests on my Tips for Teachers podcast - education heavyweights such as Dylan Wiliam, Daisy Christodoulou and Tom Sherrington, as well as talented teachers who are not household names but have so much wisdom to share. Then there's what I have learned from working with amazing teachers and students in hundreds of schools around the world. Inside you will find 22 ideas to enhance mini-whiteboard use, 15 ideas to improve the start of your lesson, 14 ideas to help make Silent Teacher effective, seven ways to respond if a student says they don't know, and lots, lots more. Each idea can be implemented the very next time you step into a classroom. So, whatever your level of experience, subject or phase, there are plenty of ideas in this book to help take your teaching to the next level.
Some teachers think that there’s little to say about teaching with examples – after all, everyone uses them. But here are just some of the questions you might have about teaching with worked examples: How do we introduce an example? What do we ask students to do when studying a solution? Should a solution be presented all at once or revealed step-by-step? After we study an example, what comes next? Does it matter if the solution is presented as if from a fictional student, a real student in class, or from the teacher? How do we help students move from understanding someone else’s ideas towards using it on their own to solve problems? How do we write a solution in a clear way, that students can learn from? When is a good time to offer a worked example? When is it better to let students try a problem? Are worked examples more useful for some mathematical content than others? This book will answer all of these questions. In some cases, research offers answers. Other questions represent gaps in the research literature and the book offers solutions arrived at through experience and trial-and-error and the author’s own process of classroom problem solving. Welcome to the world of teaching with examples!
einem solchen Panoramablick beginnen, denn der Leser wird zu Anfang weder den Stoff zu schatzen wissen, den die verschiedenen Systeme organisieren wollen, noch solehe Oberlegungen, die dem einen System in irgendeiner Hinsicht vor einem anderen den Vorzug geben. Es ist besser, zu Anfang den Leser mit einem vorlaufigen inforrnellen Oberblick tiber den Gegenstand zu orientieren. Hier zeigen sich aber schon wieder Schwierigkeiten. Wenn soleh ein Oberblick tiber Trivialitaten hinausgehen solI, muB er auch eine ernstzunehmende und spitzfindige Argumentation zu Hilfe nehmen, die aber leicht in Antinomien einmtinden und sich somit selbst in Millkredit bringen kann, wenn man sie nicht auf eine von zwei moglichen Weisen vor diesen abbiegen laBt: Man konn te letzten Endes doch den informellen Zugang zu Gunsten eines axiomatischen aufgeben, oder man konnte listigerweise die Aufmerksamkeit des Lesers von gefahrlichen Fragen ablenken, bis die inforrnelle Orientierung zu Ende gebracht ist. Der letztgenannte Aus weg erfordert ein artistisches Konnen einer Art, auf das ein akademischer Lehrer nur mit Verachtung blicken kann, und letztlich fOOrt er doch bei solehen Lesem zu nichts, die bei jemand anders von den Antinomien horen. Wenn sie einmal davon gehort haben, konnen sie sich nicht mehr der Disziplin komplizierter informeller Argumente in ab strakter Mengenlehre unterwerfen, denn sie wissen nicht mehr, welehe intuitiven Argu mente eigentlich zahlen. Es hat schlieBlich seine Grtinde, warum Mengentheoretiker sich zur axiomatischen Methode fltichten.
Some students think mathematically. They have the curiosity to notice relationships, the confidence to ask why, and the knowledge to understand the answer. They are the lucky ones.Many others just "do" maths. They look at a question, think about how to answer it, answer it, and then move on.In this book, Craig Barton, maths teacher and best-selling author of How I wish I'd taught maths, offers an approach to help all our students think mathematically. It requires the careful sequencing of questions and examples, the role of the teacher, and the mathematical behaviour of our students. It has transformed his teaching. Drawing upon research into the Self-Explanation Effect, the Hypercorrection Effect and Variation Theory, together with two years of developing this approach with teachers and students around the world, Craig describes exactly what this looks like in the classroom.But be warned: not everyone agrees. Indeed, it is this very approach that led to Craig being labelled as "the most dangerous and clueless man in maths education". If that is not a recommendation to keep reading, I don't know what is.
Hands up if you’ve ever been given lesson observation feedback that you didn’t understand, didn’t agree with, or just thought was plain rubbish. If your hand is in the air, you’re in good company! When it comes to teachers receiving high-quality feedback that helps them improve their teaching, we have a serious issue in our schools. Teachers want to improve their teaching. They embrace any opportunity to learn. They want other professionals to watch them teach and to get into conversations about developing their practice. What they don’t want is to be criticised, patronised, sent down blind alleys, or left utterly confused. Those who’ve been giving feedback telling teachers to ‘differentiate more’, ‘talk less’, or ‘let students lead their own learning’ have a lot to answer for. The Teaching Delusion 3: Power Up Your Pedagogy has been written to address the issue of teachers receiving poor feedback in our schools. As a self-improvement and coaching resource, it is essential reading for all teachers and school leaders. Through a detailed exploration of 12 key elements of pedagogy, author Bruce Robertson sets out a clear, researched-informed guide to improving pedagogy in every classroom, across every school. By highlighting key features of effective practice and a broad range of techniques teachers can focus on developing, this practical guidebook will be valued by professionals in all sectors, regardless of experience. The Teaching Delusion 3: Power Up Your Pedagogy completes The Teaching Delusion trilogy with a bang!
