ProfSmudge
@profsmudge.bsky.social
School maths should be more than tables and algorithms. I try to write materials that show that. Dietmar Küchemann
Inspired by Lyonel Feininger?!
November 11, 2025 at 10:05 AM
Inspired by Lyonel Feininger?!
These authors provide a useful taxonomy of proof schemes:
Harel, G., & Sowder, L. (1998). Students’ proof schemes: Results from exploratory studies. In A. Schoenfeld, J. Kaput, & E. Dubinsky (Eds.), Research in collegiate mathematics education III (pp. 234-283).
Harel, G., & Sowder, L. (1998). Students’ proof schemes: Results from exploratory studies. In A. Schoenfeld, J. Kaput, & E. Dubinsky (Eds.), Research in collegiate mathematics education III (pp. 234-283).
November 9, 2025 at 12:20 PM
These authors provide a useful taxonomy of proof schemes:
Harel, G., & Sowder, L. (1998). Students’ proof schemes: Results from exploratory studies. In A. Schoenfeld, J. Kaput, & E. Dubinsky (Eds.), Research in collegiate mathematics education III (pp. 234-283).
Harel, G., & Sowder, L. (1998). Students’ proof schemes: Results from exploratory studies. In A. Schoenfeld, J. Kaput, & E. Dubinsky (Eds.), Research in collegiate mathematics education III (pp. 234-283).
#NotMyBBC This is Fiona Bruce's typically negative intro to Question Time this week:
"Why is it so hard to keep prisoners in prison?
Rachel Reeves, should she quit if she raises taxes?"
The obvious answer:
"We don't fund the legal system properly. Be brave, Rachel, please raise taxes."
"Why is it so hard to keep prisoners in prison?
Rachel Reeves, should she quit if she raises taxes?"
The obvious answer:
"We don't fund the legal system properly. Be brave, Rachel, please raise taxes."
November 8, 2025 at 11:07 AM
#NotMyBBC This is Fiona Bruce's typically negative intro to Question Time this week:
"Why is it so hard to keep prisoners in prison?
Rachel Reeves, should she quit if she raises taxes?"
The obvious answer:
"We don't fund the legal system properly. Be brave, Rachel, please raise taxes."
"Why is it so hard to keep prisoners in prison?
Rachel Reeves, should she quit if she raises taxes?"
The obvious answer:
"We don't fund the legal system properly. Be brave, Rachel, please raise taxes."
In #MathsToday I tried to help two Y11 students with simultaneous equations. It was all very abstract and procedural, though. Should I use a WW Sawyer-type story, eg about the cost of cakes and buns but where the letters elide between representing objects and quantities (of the quality, cost)??
November 4, 2025 at 5:50 PM
In #MathsToday I tried to help two Y11 students with simultaneous equations. It was all very abstract and procedural, though. Should I use a WW Sawyer-type story, eg about the cost of cakes and buns but where the letters elide between representing objects and quantities (of the quality, cost)??
In #MathsToday (last week) a repeat-gcse student was successfully using socatoa to identify trig ratios - however, I got the impression that this very habit had prevented him ever forming a secure image (verbal or visual) of the ratios, so it was holding him back rather than helping.
October 26, 2025 at 9:57 AM
In #MathsToday (last week) a repeat-gcse student was successfully using socatoa to identify trig ratios - however, I got the impression that this very habit had prevented him ever forming a secure image (verbal or visual) of the ratios, so it was holding him back rather than helping.
#MathsUntangle The blog has suddenly been discovered in China. What does it mean? Should I be worried?
October 24, 2025 at 8:54 PM
#MathsUntangle The blog has suddenly been discovered in China. What does it mean? Should I be worried?
Gulp! Beaten 4-nil.
Maybe we do have join up with those other maths associations.
Maybe we do have join up with those other maths associations.
October 22, 2025 at 9:33 AM
Gulp! Beaten 4-nil.
Maybe we do have join up with those other maths associations.
Maybe we do have join up with those other maths associations.
Reposted by ProfSmudge
#MathsUntangle Week 13. Using a calculator to gently move away from the notion of multiplication as repeated addition.
mathsuntangle.blogspot.com
mathsuntangle.blogspot.com
October 17, 2025 at 1:49 PM
#MathsUntangle Week 13. Using a calculator to gently move away from the notion of multiplication as repeated addition.
mathsuntangle.blogspot.com
mathsuntangle.blogspot.com
#MathsUntangle Week 13. Using a calculator to gently move away from the notion of multiplication as repeated addition.
mathsuntangle.blogspot.com
mathsuntangle.blogspot.com
October 17, 2025 at 1:49 PM
#MathsUntangle Week 13. Using a calculator to gently move away from the notion of multiplication as repeated addition.
mathsuntangle.blogspot.com
mathsuntangle.blogspot.com
#MathsUntangle Probably the best fractions task I've ever written (at least I thought so at 4 am this morning....)
October 16, 2025 at 11:49 AM
#MathsUntangle Probably the best fractions task I've ever written (at least I thought so at 4 am this morning....)
In #MathsToday I helped a Y11 student solve inequs like x2+2x–8 < 0, via graphs and factorising to find a range of values on the x-axis. We hammered out a procedure, but it seemed like a completely alien world, a bit like going through a latin mass. If she masters the procedures, what does it prove?
October 16, 2025 at 10:40 AM
In #MathsToday I helped a Y11 student solve inequs like x2+2x–8 < 0, via graphs and factorising to find a range of values on the x-axis. We hammered out a procedure, but it seemed like a completely alien world, a bit like going through a latin mass. If she masters the procedures, what does it prove?
#MathsToday Working with two Y11 students yesterday, we checked to see whether 121 was divisible by 3.
The division 121÷3 gave us 40 r1.
I suggested we could treat the remainder as 1÷3 which proved to be very challenging.
The division 121÷3 gave us 40 r1.
I suggested we could treat the remainder as 1÷3 which proved to be very challenging.
October 15, 2025 at 11:52 AM
#MathsToday Working with two Y11 students yesterday, we checked to see whether 121 was divisible by 3.
The division 121÷3 gave us 40 r1.
I suggested we could treat the remainder as 1÷3 which proved to be very challenging.
The division 121÷3 gave us 40 r1.
I suggested we could treat the remainder as 1÷3 which proved to be very challenging.
In #MathsToday a Y11 pupil said she thought it would be easier to get a grade 5 GCSE on the Higher rather than the Foundation papers. Is there any truth in this??
October 14, 2025 at 4:42 PM
In #MathsToday a Y11 pupil said she thought it would be easier to get a grade 5 GCSE on the Higher rather than the Foundation papers. Is there any truth in this??
Manager of a not very good team annoyed by the suggestion that it's not a very good team....
October 13, 2025 at 6:19 PM
Manager of a not very good team annoyed by the suggestion that it's not a very good team....
In #MathsToday I used the classic 'cream for 6 people' recipe task with a Y10 student.
'pints' threw him so I changed this to 'litres'.
'pints' threw him so I changed this to 'litres'.
October 9, 2025 at 10:32 AM
In #MathsToday I used the classic 'cream for 6 people' recipe task with a Y10 student.
'pints' threw him so I changed this to 'litres'.
'pints' threw him so I changed this to 'litres'.
It's German, Jim, but not as you know it
🔧 Stellenangebot in Berlin:
Administration und Support – Online-Fortbildungsmodule im QuaMath-Programm (E11 TV-L, 75 %)
Ab 01.01.2026, zunächst befristet bis 30.06.2028 mit Option auf Verlängerung um weitere fünf Jahre.
#DZLM #QuaMath #IPN #Stellenangebot #Bildung #DigitalLearning #ITSupport
Administration und Support – Online-Fortbildungsmodule im QuaMath-Programm (E11 TV-L, 75 %)
Ab 01.01.2026, zunächst befristet bis 30.06.2028 mit Option auf Verlängerung um weitere fünf Jahre.
#DZLM #QuaMath #IPN #Stellenangebot #Bildung #DigitalLearning #ITSupport
Administration und Support der Online-Fortbildungsmodule im QuaMath-Programm
www.leibniz-ipn.de
October 7, 2025 at 9:29 AM
It's German, Jim, but not as you know it
Dee La Warr Pavilion, Bexhill. A day at the seaside.
October 2, 2025 at 10:40 AM
Dee La Warr Pavilion, Bexhill. A day at the seaside.
Four walnut trees, one walnut....
September 28, 2025 at 8:51 AM
Four walnut trees, one walnut....
Think of a neat way of calculating the amount of 2-stroke oil needed for 5 litres of petrol to produce a 25:1 mixture of petrol to oil.
September 24, 2025 at 4:01 PM
Think of a neat way of calculating the amount of 2-stroke oil needed for 5 litres of petrol to produce a 25:1 mixture of petrol to oil.