Blog by a Mathematics Teacher documenting his journey through the world of education, mathematics and anything else he finds interesting. (UK)
Tuesday, 26 August 2014
Google Classroom
I'm excited about using Google Classroom. The design is simplistic and easy to use, providing quick access to particular classes. I like how it automatically creates assignment/class folders within google drive. The announcement section looks promising as a way of developing teacher/student dialogue (particularly useful for quieter students). Can't wait to try this out in September...
Friday, 8 August 2014
Book Review - Bad Science by Ben Goldacre
This is a fascinating book into the world of research and statistics. Goldacre looks at topics including Homeopathy, MMR Vaccines and Drug Companies and investigates the flawed medical trials and the problems with media interpretation. For teachers, there is also a section on the folly of Brain Gym.
As a Maths teacher, the book is extremely useful becuase it provides great insight in to modern techniques and how to correctly carry out Medical trials and Research, by often highlighting misleading methods and statistics. It looks in details at topics such as blind testing, regression to the mean, placebo effects, etc. This book would be particularly useful to run with the new Core maths qualification at post 16.
I would highly recommend this book to not just maths and science teachers, but to everyone within education. It highlights the need for a solid research base in education and the need for greater knowledge in this area. Fads, like Brain Gym, not only damage the education of our students but are a huge waste of money and resources.
See more at badscience.net and section for teachers.
Thursday, 7 August 2014
Book Review - Why Don't Students Like School by Daniel T. Willingham
Willingham has written a thoughtful and insightful book about cognitive science. He describes current understanding of how the mind works and the possible impact of this research on life in schools and classrooms.
"The mind is at last yielding its secret to persistent scientific investigation. We have learned more about how the mind works in the last twenty-five years than we did in the previous twenty-five hundred."
The main findings from this book indicate the importance of factual knowledge to children's development, "thinking well requires known facts". Willingham discusses the importance of working memory and uses the imagery of allocated slots. It is important not to overburden the working memory. To achieve this, teachers need to organise deliberate practice for their students. This must be maintained over time and can be folded into more advanced skills. This moves knowledge from working memory to long term memory and avoids overload by becoming automatic (e.g.like driving a car).
I agree with the important message though that drives through this book, that we should make students think deeply, but in order to achieve this, shallow learning and practice is sometimes needed. Unfortunately in recent times in the UK this has been ignored in pursuit of fluff, show lessons that are thought to impress OFSTED, but do not aid the overall development of students and often distract students from thinking about what they are supposed to. Practise automatices knowledge from working memory to long term memory and allows the brain to work more efficiently and fluidly. The idea of conceptual understanding is not rubbished but he promotes a balanced approach between procedural and conceptual development. Connections between topics and previous learning are also important because they reduce the stress on working memory and develop proficiency.
The ideas of hooks are also promoted. Interestingly, it is suggested to try these in the middle of the lesson rather than the usual start or end. Hooks are very useful in allowing the brain to make connections and help to develop a deeper understanding of topics.
He states we should, "strive for deep understanding in your students, not the creation of new knowledge" (that will come later). The vast majority of top mathematicians, scientists etc. have got there because they have developed core knowledge and then have worked hard to excel in their particular field. I have also considered it strange how some of the highest academics criticise the path to how they have excelled. It is like a walker crossing a log on a fast moving stream and then kicking it away so others cannot cross in the same way. This is an important message and one that slightly differs from other books I have read - particularly in the field of maths education, where the message is to try to get students to think like elite mathematicians. Often this has happened through the promotion of calculators or more recently WolframAlpha as a substitute for basic knowledge. Although these products are useful, ignoring the basics does not benefit students in the long term. Again it is important to emphasise, higher order thinking is important but must not be done at the expense of basic skills that underpin subjects.
Willingham's chapter about intelligence is very similar to the work completed by Dweck. (See previous post about Grit and a Growth Mindset). Intelligence although partly dependent on genetics and environment is not fixed. "Intelligence can be changed through sustained hard work". This message is extremely important to us as educators. For if it was fixed what would be the point of education? This has particular resonance in mathematics in the Western World where often there is a stigma around the subject and people strongly believe they simply cannot do it because of some inherited fault. Willingham highlights the folly of this idea and with hard work everyone can improve.
At the heart of teaching is to try to make students think. This book provides powerful insight in how to achieve this.
Book Review - 1089 + All That by David Acheson
David Acheson has written an excellent little book about a journey into mathematics. This book is an ideal read for any teacher or student. It is an excellent holiday read to maintain and top up mathematical knowledge. 1089 is written in short passages, making it easy to read but doesn't shy away from some relatively complicated mathematics and contains some gems of mathematical insight. Amazingly, this small book deals with a whole range of topics from pi to chaos theory.
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