#WorkedExamples #SelfExplanationPrompts
Another one for today.
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#WorkedExamples #SelfExplanationPrompts
Planning for the new year.
I should start to collate these on my website at some point.
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A pretty non exciting introduction to solving simultaneous equations graphically...
https://teacher.desmos.com/activitybuilder/custom/64d632755e0767e44325a4e4
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@bbeling I'm an all at once.
We teach it straight after similar triangles and Pythagoras's Theorem.
This is my current favourite way to introduce it:
https://kshancock.co.uk/lessonresources.html#trigonometry
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Took a break to do some programming this afternoon.
Randomly generated box and whisker plots.
https://kshancock.co.uk/gcsestats/boxandwhisker.html
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3rd year of being a nomadic teacher next year. I'm in 12 different classrooms over the week. After ideas to cut down what I lug around all day.
reMarkable had solved my paper problem.
But I carry a visualizer, 24 board pens for mini whiteboards, 3 calculators, laptop plus charging cable, graphics tablet, HDMI cable, and then any work for the lessons I'm teaching before I can next visit the Maths office. (We're split site and I only teach in the Maths block about 50% of the time.)
Jacket pockets hold my board pen, fountain pen, pencil, ruler and headphones.
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@druinok
These days everything I've used in lessons for the past 8 years in my master OneNote for each year group.
I spend some time each summer moving the year just gone into the master and pruning it for repeats.
If I find stuff during the year then I add this to the master as I find it, so when I'm planning most things are stored there. (Some OneNote pages are just book references)
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So I've found out I'm teaching the Statistics side of A Level next year. I'm looking forward to updated my notes and tasks for this half of the course. Especially as all our student ts now have devices. #MathsEdChat #ITeachMath
@CharlotteHawthorne That's a really interesting read.
Do you go back to the first problem at some point?
I'm still very taken with worked examples and self explanation prompts, but I really need to focus on using these more effectively next year.
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New Blog 🌟
(Slightly) Re-thinking the example-problem pair
https://sketchcpd.com/viewBlog?id=31
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@taylorda01 Welcome, Dave. I'm not joining Threads (yet...because never say never) and although there are more differences here on Mathstodon, it's a nice place and feels like more of a community. You can follow hashtags on here too so they appear as part of your home timeline. To distinguish Maths from Maths Ed stuff I've been using and following #MathsEdChat which I'm hoping will grow to be the community of maths teachers we were used to. Nice to have you here anyway.
A long shot…possibly…
Does anyone have a dxf file for the ‘hat’ aperiodic monotile? :monotile:
#maths #MathsEdChat
Recently I discovered https://www.learningtrajectories.org/.
"Children follow natural developmental progressions in learning. Curriculum research has revealed sequences of activities that are effective in guiding children through these levels of thinking. These developmental paths are the basis for learning trajectories."
Thinking about the "trajectory" through a topic is how I plan a sequence of lessons, and as an ECT much of my planning involved thinking about this path and how I'd craft it for my classes. (Not resourcing a lesson -- a common misconception.)
I can't help but think that maths departments would better serve their teams -- and students -- if they had readily available trajectories to share. After that, the resourcing is easy thanks to the hive mind of maths teachers online.
Does anyone know if these learning trajectories already exist at a secondary level?
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Collecting like terms:
This year I've started using the approach shown below.
Because it reminds me of the top of a castle (crenellations) I call it "crenellating". 😉
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@StudyMaths Lots to explore in this one. Especially connections to be made. #MathsEdChat #MTBoS #MathsTeaching #Maths
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@Chrisfmaths Out of interest do you get a full A Level worth of time for the Further lessons?
We teach in series and get 1.5 times the lessons of single A Level. #MathsEdChat #MathsEducation #MTBoS
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@CharlotteHawthorne The longer I tach for the more I move away from autonomy. Perhaps because when you have too much it's exhausting.
I'd be so happy for someone else to write a unit I could teach from. 😁
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Posting on here definitely feels different and more like posting into the void...but I kind of like it. It's freeing not worrying about a post getting likes (favourites) or replies and just saying what I feel.
Today I've been thinking about autonomy in planning maths lessons. Prompted by many things but brought to the forefront by Craig Barton's blog this morning (Link below)
I'm trying to mentally wrestle with the idea that I have, in the past, disliked being told how to teach if it's too prescriptive...I hated the thought of some structures I'd seen in other schools such as compulsory 10 minute retrieval where the questions were pre-prepared by someone else.
But I also find myself wanting to dictate methods, approaches and sometimes even a whole series of lessons.
But the crucial thing here is that I think I was scarred by some particularly bad ideas. Whole-school T&L policies which were driven by subjects very different to maths. Perhaps this made me resistant to being told to do something.
Now that we know better (I hope), are there aspects that could be much more prescribed?
And could there potentially be more creativity that comes from this? If we give teachers time back with the basics of lessons planned will there be more time for tweaking/adapting/thinking creatively about how to improve things?
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@loopspace @StudyMaths @Arithmaticks @CharlotteHawthorne @emmaemma53
I'm hopeful we get some traction on the UK #EduTooter and #MathsEdChat following this migration.