When you hear the words “golden ratio,” you may remember something about a spiral or some guy named Fibonacci. You might also recall a specific number from geometry class—1:1.618.The golden ratio is based on a sequence of numbers that Fibonacci discovered. As the numbers in the sequence increase, the ratio between two adjacent numbers gets closer to—you guessed it—1:1.618. Not only does this ratio occur in a sequence of numbers, it’s prevalent in the natural world, too. Many people believe it to be nature’s perfect proportion. So how does the golden ratio influence design?This infographic will walk you through everything you need to know. Learn basics like what the golden ratio is and where you can find it, plus practical ways to use it in your designs. Whether you’re sizing typography, editing photos, creating shapes, or even working on layout, you’ll be able to use the golden ratio to make your design looks its absolute best.
A reminder of considerations important to facilitating the learning for young children.
Download free notes for Higher Maths
A treasure trove of interesting gems with a focus on probability, uncertainty and chance. A must for teachers who want to make their statistics lessons more relevant and fascinating!
Source: Understanding Uncertainty
“produced by the Winton programme for the public understanding of risk based in the Statistical Laboratory in the University of Cambridge. The aim is to help improve the way that uncertainty and risk are discussed in society, and show how probability and statistics can be both useful and entertaining!”
Another superb blog post from Colleen Young with all the useful information and links that we all need at this time of the year (see below this post). After reading it and checking the links, I created this document for anyone who needs a RAG sheet or checklist of all the topics required for the new GCSE exam – I based it on extracts from the “Exemplification of the New Sample Assessment Materials” that C0lleen mentions and links to in her post. If you would like the Edexcel version of the RAG sheet, please let me know and I can send it to you or place it on my blog at some point.
GCSE (9-1) RAG Sheet Full Curriculum Checklist v2 (created by MrWilliamsMaths on 6 March 2017)
With changes to examinations at both GCSE (UK examination taken at age 16) and A Level (UK examination taken at age 18) all the examination boards are offering help and support for teachers and students. Many excellent resources are available with several published very recently.
For example we have Edexcel’s very helpful resources for teaching new content. For each topic, information, examples and exercises (with answers) are given.
More helpful Edexcel resources include the Exemplification of the New Sample Assessment Materials and the Topic Tests, note the Show More button which will take you to more resources including for example posters of formulae that students need to know.
From AQA and OCR too we have many excellent resources to support the teaching of the new specifications. Given so many new and useful resources I have separated the UK Assessment pages further and now have…
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The modern learner has to sift through a lot of information. That means higher level thinking skills like analysis and evaluation are necessary just to reduce all the noise
What are the principles of modern learning? Well, that depends on how you define ‘learning’ and what you’d consider ‘modern.’ Richard Olsen put together this useful visual way, way back in 2013
When it comes to the success of an individual classroom, nothing is more important than the relationship between the teacher and the students. When it comes to the success of an entire school, nothing is more important than the relationship of the adults in the building.
Plenty of numbers and interesting facts for the first week back at school in January!
Free Maths Secondary Resources using Excel & PowerPoint
Thanks to Colleen Young. Her blog posts are always so useful and helpful to teachers who are working hard every day. Here’s another brilliant resource to start using for December.
It’s that time of year again…!
Nrich Advent Calendars
December means Advent Calendars and Nrich have published two Advent Calendars, one for Primary and one for Secondary each containing twenty-four problem-solving activities, one for each day in the run-up to Christmas. The primary Calendar tasks focus on encouraging mathematical habits of mind and the Secondary tasks have been chosen to encourage mathematical creativity.
You can in fact find a whole collection of advent calendars on Nrich and clearly the year doesn’t matter! Note the different themes available – a Sudoku for each day perhaps? Or a tangram? Maybe you want to play a game?
Advent Calendar by Alex Pett
Alex Pett created his advent calendar complete with history and problems for each day. Alex has provided a pdf version or use as aGoogle document. For an Activeinspire resource this version also has sound.
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Successful teachers share these 6 key traits. Cultivate these attributes in yourself to maximize your effectiveness in the classroom.
1. Successful teachers hold high expectations
2. They think creatively
3. Top teachers are versatile and sensitive
4. They are curious, confident, and evolving
5. They are imperfectly human
6. Successful teachers emphasize the fun in learning and in life
Find more education infographics on e-Learning Infographics
Read / download the full report at : Sutton Trust – What makes great teaching?
This report reviews over 200 pieces of research to identify the elements of teaching with the strongest evidence of improving attainment. It finds some common practices can be harmful to learning and have no grounding in research. Specific practices which are supported by good evidence of their effectiveness are also examined and six key factors that contribute to great teaching are identified. The report also analyses different methods of evaluating teaching including: using ‘value-added’ results from student test scores; observing classroom teaching; and getting students to rate the quality of their teaching.
The two factors with the strongest evidence of improving pupil attainment are:
- teachers’ content knowledge, including their ability to understand how students think about a subject and identify common misconceptions
- quality of instruction, which includes using strategies like effective questioning and the use of assessment
Specific practices which have good evidence of improving attainment include:
- challenging students to identify the reason why an activity is taking place in the lesson
- asking a large number of questions and checking the responses of all students
- spacing-out study or practice on a given topic, with gaps in between for forgetting
- making students take tests or generate answers, even before they have been taught the material
Common practices which are not supported by evidence include:
- using praise lavishly
- allowing learners to discover key ideas by themselves
- grouping students by ability
- presenting information to students based on their “preferred learning style”
The report has been read by over 45,000 people on this page, and attracted considerable media coverage. You can read much of the coverage on the right hand side of this page.