## Mathematical Miscellany #75

A collection of impressive resources… Jake Gordon has been rather busy! Have a look at his “monster of a PowerPoint”. These detailed worked examples are based on the book Teaching math with examples by Michael Pershan. Also inspired by Michael Pershan’s book and her research on self-explanation, have a look at Karen Hancock‘s journey into worked examples. From…

Keep reading## Mudd Math Fun Facts

This searchable collection, Mudd Math Fun Facts from Harvey Mudd College Math Department has resources that can make great starter activities, perhaps try Squares Ending in 5 and Multiplication by 11 both made excellent starters. I have looked at proofs for these with students as well as enjoying the mental Maths tricks! It is possible to search by topic, difficulty…

Keep reading## Bell Work

At the beginning of a lesson, I like to get everybody busy straight away, making a calm start to the lesson and very much like the idea of so-called ‘bell’ work. Give students a task that is simple to understand and requires no more than a simple instruction, question/s and/or diagram on the board (no technology…

Keep reading## Knowledge Organisers – Mathematics

In a post on Cognitive Science in the Classroom, I mentioned Knowledge Organisers, or to be more precise I mentioned Kris Boulton’s “When shouldn’t I use knowledge organisers?”. Kris has written on why they are less applicable to maths. Certainly, I had not used knowledge organisers for Mathematics myself with one exception, I have used …

Keep reading## Advanced Starters – Transum

Chancing upon this tweet from Transum proved fortunate. Hidden gems indeed, I had not noticed the Advanced Starters before, some of which I think could be useful for students aiming at the highest GCSE grades as well as for Advanced Level students. The problem, Find the Radius, illustrated in the tweet is very neat! Looking at the Main Transum Starters page I…

Keep reading## Here’s the diagram…

What’s the question? (This post is an update of my post from 2013 and now includes the more recent, excellent resource Goal Free Problems from Peter Mattock.) Using diagrams as prompts like this is excellent for Retrieval Practice. Seeing this well-received resource, GCSE Question Prompts on TES reminded me that I have successfully used this idea myself…

Keep reading## Arithmagons

What is an arithmagon?Clearly, the numbers in the rectangles are the sum of the numbers in the adjacent circles. Of course, there is no need to use addition and no need to use triangular arithmagons! These could be used with students of all ages. Young children could practice basic skills or students studying advanced Mathematics could…

Keep reading## Mobile Puzzles – Algebra

The Transition to Algebra (TTA) project, an initiative of the Learning and Teaching Division at Education Development Center, Inc. (EDC) includes a wonderful collection of Mobile Puzzles. Visit solveme.edc.org to play SolveMe Mobiles (also available for the iPad.) Looking at the menu, you will see categories with different levels of difficulty available from very simple puzzles to rather more…

Keep reading## Number Operations

Questions such as this can make a great starter for a lesson and provide the chance to discuss number operations and the relationships between them. Manipulating numbers like this can also help with algebraic manipulation. Looking for some more examples of this type, I came across a really useful resource on TES, “If I know…

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