TomTeach

TomTeach

@tommaths.bsky.social

London, Comprehensive school, from Europe. Maths Teaching is my second career.

82 followers90 following427 posts

In #MathsToday I cannot believe the number of teaching hours I have already lost (all years), for various extra curricular reasons, and we are only mid-October.

Was shading the "unwanted region" the normal practice/convention taught before? Pictures below from Bostock and Chandler book. This has some advantages when dealing with many multiple inequalities (2nd picture) #MathsToday #UKMathsChat #ITeachMath

I think from the moment we start algebra I do not want to stray away too much from the fact that those x's and y's are standing for numbers. #MathsToday #UKMathsChat

TomTeach@tommaths.bsky.social

Love representations in maths. But definitely do not like algebra tiles. Is that ok? #MathsToday

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Using the "area model" to show distributivity of multiplication over addition, ok. If i were to use tiles, I would first use them a lot with numbers only, could show single bracket expansion with numbers only. But then, what size would be my tiles for each number...?

And with older students, i am really not convinced of using tiles for what is called "completing the square". At this age, and if they are of a certain maths level that they have time to be exposed to this, we do not need tiles to make up a story to tell them.

I think from the moment we start algebra I do not want to stray away too much from the fact that those x's and y's are standing for numbers. #MathsToday #UKMathsChat

TomTeach@tommaths.bsky.social

Love representations in maths. But definitely do not like algebra tiles. Is that ok? #MathsToday

I do not want to make them objects of some sort (a green rectangle, a red square,...). In maths, we end up by thinking of many things as objects, but not in the literal sense of the term. But yes, manipulatives can be helpful for sure.

We talk a lot about great activities, exercises, questions, ressources. To me that's one of the most intersting things to look for when preparing lessons.

But most times, the most difficult and less talked about part, is how to best introduce those, what are the means of the participation, and so on....particularly in difficult contexts. And particularly for novice. But I'd say the challenge is still there even when experienced? #MathsToday

In #MathsToday, I was reminded that the power of "circulating across the classroom" is greatly reduced by the inability to decipher any letter or numbers on the page.

Hence thought of the following: For you teaching in a Sixth Form college, you see students coming from outside which are all new to you so might have a different perspective on this: What are the top 3 maths "gaps" you generally see from students fresh from their GCSEs? #ALevelMaths #Mathstoday

TomTeach@tommaths.bsky.social

Was doing inequalities on a graph with Y12 in #MathsToday. Realized how "unatural" it is for many students (even top GSCE grades with excellent algebraic skills) to relate "their algebra" to a graphical representation. I need to think more. #AlevelMaths

Was doing inequalities on a graph with Y12 in #MathsToday. Realized how "unatural" it is for many students (even top GSCE grades with excellent algebraic skills) to relate "their algebra" to a graphical representation. I need to think more. #AlevelMaths

Last week with Year 12, was good to quickly talk about formal ways (ie not try and substitute) to solve this pair: x^2+y^2=34 xy = 15 (One way being probably "nicer" than another) #MathsToday

Due to the fact that I am quite new to the profession, I have observed quite a few lessons, was made to watch quite a few videos of lessons, and heard a lot of opinions about "good teaching", over the last few years.

My conclusion is that it is easy for people to be impressed by a lesson where not a lot of learning has happened (probably, we never really know), and it is easy and frequent for people to be unimpressed by a lesson/teacher where a lot of learning has (probably) happened. #MathsToday

Looking at a chat on here where people reported A-Level teaching hours in many different ways, I asked myself the question: "Is teaching 90 minutes 3 times a week more teaching & LEARNING done than 1 hour 9 times fortnightly?" For me, YES. What is your opinion? #MathsToday #ALevelMaths

Sometimes, a feeling of despair to hear, witness (and understand) the logic in schools: "I looked for responsibilities in order to teach less, it was too much, not enough time..." "You do not want responsibilities other than teaching? You will be crammed with teaching hours until you give up"

I am getting more and more professional emails written by Chat GPT (or else). The best ones are those with a different type of fonts, indicating clearly a copy/paste. But even without the change of fonts, the wording...oh my... #MathsToday

Who will be left who can synthetize his/her thoughts in clear sentences. I could also say elegant and original, but some might say it is subjective... Instead people are developping an "aptitude" of writing "clear and efficient" prompts (if at best, any have been used), for such or such AI...

If you were to plot the curve: x-axis: YEARS OF TEACHING (ie 3 is your third year teaching) y-axis: NUMBER OF TEACHING HOURS THAT YEAR What would it look like? What is the max and min? PS: the y-value is purely about teaching a class (ignore other responsibilities) #MathsToday

Is it really wise to have Y12 Single Maths students (mixed with Further students) be taught a lot of Y13 content, in order to facilitate the Further Maths students (edexcel) Core Pure 1 and 2 delivery (which has to be done in Year 12) ? #ALevelMaths

Just a newbie trying to understand practice accross school/opinions: Alevel maths teaching for one year group (let's say Y12): 1) Do you split Half Pure/Stats & Half Pure/Mech between 2 teachers 2) Do you split Pure & Stats/Mech between 2 teachers 3) Other. Which? #ALevelMaths #MathsToday

Another AI Use witnessed in school: Tutor needs to write end of year form tutor reports for each tutee. Tutor leaves long vocal note to AI for each student. AI comes back with a couple of paragraphs. Copy/paste paragraphs after quick check. #MathsToday

It can sometimes be a bit painful to do those reports. But I remembered my first year (last) when I did synthetize different types of information, and used my sensibility and observations of each student, to then write a couple of paragraph for each, which had at least a bit of a personal touch.

Will do same again this year. The tutor using AI probably used his sensibility and observations, and also summarized informations/data when leaving the vocal notes. So, what is lost between the two practice? Probably something essential...?