@greg_ashman NAPLAN was only ever designed for accurate measurement at the school level - not at individual student level. (This may have changed with the adaptive online test which allow testing across a much wider range of bands) 2/2
@greg_ashman Devil's Advocate : was it ever that accurate? Margin of error across two tests was, I believe, close to a whole band. Certainly for high band Year 7 students the could easily score off the scale in Year 7 but not in Year 9, giving the impression they were going backwards. 1/2
@nathanday314 Nice mix. Will be very useful - thank you! Could I suggest rotating and reflecting some of the triangles so the hypotenuse isn't always in the same location?
@AshaRaoRMIT Remember there is a real tension at the root of the disciplines : science is based on empiricism (experiment, induction) while maths is based on reasoning. And in practice, most STEM activities and courses seem to be very heavy on the "maker" approach of T and E. It's an issue.
@DavidKButlerUoA Everything comes down to those little rectangles f(x) by dx. That's why it's so important for teaching and learning to emphasise the dx is something real - not an artefact of the notation. Infinitesimal approach to calculus FTW! See 1910 "Calculus made easy" 😁
Wait, another NEW SIM!
Our classic Calculus Grapher is now in #HTML5, with multiple new features, like the ability to explore tangents, area under the curve, and a predict mode.
Check it out!!
#math#iteachmath#calculus
https://t.co/jx3QF8v7Ah
Challenge: prove that the blue path and the red path have equal lengths.
No spoilers, please!
Instead, share thoughts on useful hints to help students with this problem.
#hintchat
Huge thanks and hat tip to @DavidKButlerUoA for this problem!
#iteachmath#mtbos
@PepsMccrea .. backed by a well written teaching program which points at maybe 5 high quality digital resources per topic, and a faculty collated set of resources.
For more than 50 years, mathematicians have sought an “einstein”--a simple shape that can only tile the plane nonperiodically. Now a retired print technician has found one! My latest for @QuantaMagazine https://t.co/UYlKQ5OFZ3
@EricaKlarreich@DavidKButlerUoA@QuantaMagazine Thanks so much - perfect timing - was looking for a resource on this to share with students just yesterday! Great how you shared the proof as well.
@MrHonner@QuantaMagazine Thanks so much for your articles, accessible with "only" (mostly) high school maths. They make terrific reading to inspire students who want to more. And Quanta is the perfect vehicle because so many of those students are also interested in quantum physics and astrophysics.