I’ve blogged and introduced about strategies for locating a Highest Frequent Issue and Lowest Frequent A number of quite a few occasions, however I nonetheless assume that The Issue Methodology* deserves a bit extra love.
After I skilled to be a trainer I used to be instructed that the Venn Methodology was THE option to discover HCFs and LCMs. A number of years later a colleague confirmed me a really totally different methodology that she’d learnt from a scholar, and that is what began my fascination with strategies. It led to me writing the e-book A Compendium of Mathematical Strategies.
By no means belief anybody who says {that a} explicit methodology is the finest means of doing one thing as a result of there’s completely no analysis to again up their declare (it’s a thriller why nobody in maths training does giant scale research evaluating strategies – it looks like such a giant hole in our career’s pedagogical topic information). Nonetheless, I feel it is cheap to explain one thing as a favorite methodology. The Issue Methodology is certainly my favorite.
I’ve a made a 28 minute video explaining intimately tips on how to discover HCFs and LCMs utilizing the Issue Methodology. This can be a video for lecturers, not for college kids. In it I mannequin plenty of examples, together with those who would possibly spark dialogue. I additionally speak about how we are able to use this methodology to search out an HCF and LCM of three numbers, and the way we are able to simply use the Issue Methodology to work backwards.
I am not a YouTuber so please forgive the ropey handwriting…
