Wishing educators and students everywhere a very Happy New Year.
Visit the page Happy New Year for ideas for Mathematics classrooms.
(The presentation hyperlinks work in both formats.)
A new year tradition of my own is to review my resolutions for the new Academic Year so the presentation here has been checked and also updated where any new information is available.
For readers familiar with this presentation, note updates include:
(Images link to relevant information)
A reminder about all the brilliant Diagnostic Examination Questions.
Remember Carol Dweck’s wise words.
‘The outcomes are natural byproducts of engaging in good practice’.
There have been several updates to the specification series of pages since September.
Note this post on Assessment Updates with a December presentation from Ofqual on GCSE grading and A Level news from OCR who have had a specification approved. heir
How to Study.
The Learning Scientists have published their excellent and important video on Study Strategies.
A complete update of recommendations for students.
….and finally, an updated 11 Commandments of Mathematics.
The presentation has also been added to my Presentations Series.
I have several references in various places on this blog to some great visualizations.
Time to put them all together!
From Jeffrey Ventrella this wonderful Composite Number Tree – I have used this successfully with many students. It makes a great starter. Students can work out themselves how the tree is being formed and comment on any patterns they notice.
Another excellent visualization, animated factorization diagrams comes from Data Pointed. And here is Stephen Von Worley’s blog post, Dance, Factors, Dance which tells the tale of the animation. Noting his reference to Brent Yorgey’s factorization diagrams led me to Brent’s own later post, More factorisation Diagrams. I love Brent’s use of colour here. If you want even more on these great diagrams he has more information and links on this page on his blog, The Math Less Traveled.
On the subject of Diagrams generally I have several posts on the subject.
GCSE 9 to 1 Grading
From Ofqual, December 2016, very usefully note that a clear transcript of this session is available from Ofqual as a 5 page pdf document
…and read the 9 to 1 news!
I have updated the A Level Reform page.
Really important – talk to your students about how to study not just what to study.
A common theme of my own – Mini Tests / Retrieval Practice.
For valuable resources to support the techniques described here, see: The Learning Scientists. See their blog for more information and note the excellent downloadable materials on study strategies including Retrieval Practice. Note this meta-analysis of 217 Retrieval Practice Studies.
..and appropriately – last words from a student: