Have you seen…this important resource for our teaching?
From researchers at Harvard University and Vanderbilt University, the Compare and Discuss Multiple Strategies (CDMS) routine, and the curriculum materials for algebra courses?
Within each resource, you will find questions that could be used for discussion of the example, a “think-pair-share” routine and a “Big Idea” page that summarises the lesson objective for the example.
The teacher’s guide also explains each of the four strategies.
Compare & Discuss/Multiple Strategies – from researchers at Harvard University and Vanderbilt University
Puzzles – Quadratic puzzle and Color Square puzzle
Dr Austin Maths – Number, Ratio
My Ratio post features many activities and resources for teaching and learning ratio and proportion. This has been updated with some recent new resources including Amanda Austin’s always excellent resources and a really helpful Teacher Training pack from AQA. Also included in this post is a link to my post on bar modelling which is ideal for visualising ratio problems.
Don Steward – translating English to algebra, expressions
A little polynomial puzzle I came up with this week.
Each side of the square shares a factor with each of its neighboring sides. Determine the missing values that make this statement true. #mtbos#iteachmathpic.twitter.com/UOPxZr6Bzz
On Corbett Maths as well as the brilliant 5-a-day resources the videos and worksheets are also excellent. Do check the ‘More’ menu also, where you will find additional resources including a very comprehensive set of videos and worksheets for level 2 Further Maths.
On the subject of proof, I will be publishing a very comprehensive post on teaching and learning proof next week.
I featured Corbett Maths earlier this year when he celebrated 200 million website views. Corbett Maths is such a go-to site – I use this a great deal and recommend it regularly to students. John Corbett has been busy – note his massive improvements to the brilliant 5-a-days.
These are very attractively presented high-quality resources. Looking at the Spot the Mistake PowerPoints for example, as you can see in the image below there are a great collection of questions that include full answers. It’s great to see Mechanics and Statistics collections.
The revision question starters provide very useful question sets.
Hunting for a resource I once used from Census at School (the UK site is no longer available), I found it on Census at School – Ireland. Cleaning Up Your Data. Many Statistics resources are available on the site – note the drop-down menu for the resources collection.
I found it again – on STEM Learning which happily has a whole collection of the Census At School resources.
From AQA Maths, check their excellent GCSE Maths Focus on success modular Teacher Training packs. Looking at the pack on Ratio for example you will find activities and discussion prompts on switching representations, combining ratios, problem-solving with ratio and dividing quantities in a given ratio.
In Mathematical Miscellany #54 I featured two excellent resources from Curriculum for Wales; a third is now available, “The Foundations of Algebra” is suitable for progression step 3 of the new #CurriculumForWales (age 11). The workbook contains chapters on patterns, commutativity, distributivity & associativity.
Foundations of Algebra – Curriculum for Wales
I do like the above exercise which as the Teacher’s Guide acknowledges is based on Don Steward’s work, directed number arithmetic speed up and Chris McGrane’s Alternative representation of integers. A further useful resource for such an exercise is Jonathan Hall’s Directed Number MCQ Generator on MathsBot with which you can generate all the addition and subtraction multiple-choice questions you want; choose between Counters on or off.
Foundations of Algebra – Teacher’s Guide
As with the other two resources, a very comprehensive teacher’s guide is also available. You can see the contents here, this resource with its carefully chosen and varied activities and exercises will help students with the foundations of Algebra.
PhET Sims
On the subject of negative numbers, from PhET simulations we have another excellent resource in their latest addition to the Mathematics collection. To use the number line as a model for ordering real numbers and also to illustrate operations with negative numbers we can use the excellent, Number Line: Distance. Also available are Number Line: Integers, and Number Line: Operations. All are excellent for students to explore.
This resource has been added to my post on Negative Numbers which looks at some resources to develop understanding of operations with positive and negative integers and exercises for practice.
A popular post on this blog is on Venn Diagrams, first written in 2016 this has recently been checked and updated with some new resources including always excellent resources from Amanda Austin on Dr Austin Maths. Included in her Probability resources you will find an excellent section on Set Notation and Venns.
I wrote earlier this year on the excellent Math Whiteboard. This is completely free to use; If you create a whiteboard you can then get a link for that whiteboard which you can share. When I have created a whiteboard I then save a second copy so I can always return to the original.
With an individual subscription ( currently $15 for a year) it is possible to access all the features of Fluid Math including as an authoring tool for creating Math Whiteboard activities. It is also possible to save your activities.
A new feature is available – the ability to create answer boxes to check for correct answers. You can see examples using this feature here.
Superb resources from Curriculum for Wales: Diving Deeper with chapters on place value, negative numbers and fractions. The Learner Guide includes many activities, it’s great to see bases other than 10 as well! Scroll down the page for English versions, there are several resources available including answers, a teacher’s guide and additional tasks.
The KS3 (UK ages 11-14) page has had various updates recently including several new sources of resources. From Dr Frost Maths choose KS2/3/4 from the resources view or select the White Rose Maths course. For further resources linked to the White Rose Schemes of Learning, check this very useful feature on Transum Mathematics, where you can find resources linked to the White Rose Schemes of Learning as well as to areas of the National Curriculum. The page includes many valuable transition resources.
Transum Mathematics
From AMSP for students at the other end of the school, check their very helpful new topic plans for AS/A Level. With common content for all boards these are useful whichever board you are teaching. Have a look at this example on Integration:
AMSP Topic Plans AS A Level Year 1 (AS) Pure
The Mathigon page has been updated, note Mathigon’s professional development section that includes details of upcoming free events which are held regularly and recordings of all the past event recordings.
Big news: Polypad now supports 3D geometry! 🎉⚽️🎁 Use one of our built-in solids, or create your own net using polygon tiles. Then click “fold” and watch the magic happen… pic.twitter.com/lMeBZbvGSo
Two new additions for this Core Maths page: from the University of Plymouth, CIMT check Core Maths Subject Support which includes notes, examples and exercises.
