The document discusses resources for teaching mathematics and physics using GeoGebra. It includes links to GeoGebra books and courses on topics ranging from basic mathematics to calculus and differential equations. It also provides information on physics courses covering topics in mechanics, electromagnetism, and relativity. Contact information is given for several teachers who use GeoGebra in their instruction.
5. Innehåll i kurser
• Matematik Grund 13-15 år högstadium 6an 7an 8an 9an
plus minus multiplikation division procent geometri , mer ...
• Matematik 1 (1:an gymnasiet 15-16-åringar)
procent % geometri , funktioner ,statistik , sannolikhet
, trigonometri: 𝑎2 + 𝑏2 = 𝑐2 ekvationer: 3𝑥 + 1 = 7
• Matematik 2 (gymnasiet)
andragradsfunktioner ekvationssystems
𝑥 + 𝑦 = 1
2𝑥 + 3𝑦 = 7
• Matematik 3 (gymnasiet)
Derivata (och integraler) 𝑓(𝑥) = 3𝑥2
, 𝑓’(𝑥) = 6𝑥 𝑓(𝑥)𝑑𝑥
• Matematik 4 (gymnasiet)
mer derivata , trigonometriska funktioner 𝑓 𝑥 = sin 𝑥
• Matematik 5 (gymnasiet)
ännu mer derivata , differentialekvationer 𝑦’ + 2𝑦 = 2𝑥 + 3 , discret matematik
damaf96 (Daniel)
6. Content of courses
• Matematik Grund 13-15 years old (swedish 6 to 9 grade)
plus minus multiplication division percent geometry , mer ...
• Matematik 1 (1:an gymnasiet 15-16-years)
percent % geometry , functions ,statistics , probability
, trigonometry: 𝑎2 + 𝑏2 = 𝑐2 ekvationer: 3𝑥 + 1 = 7
• Matematik 2 (gymnasiet 16-17)
quadratic functions system of equations
𝑥 + 𝑦 = 1
2𝑥 + 3𝑦 = 7
• Matematik 3 (gymnasiet 17-18)
Calculus: dervative/integrales 𝑓(𝑥) = 3𝑥2
, 𝑓’(𝑥) = 6𝑥 𝑓(𝑥)𝑑𝑥
• Matematik 4 (gymnasiet 17-18)
more Calculus , trigonometric funktions 𝑓 𝑥 = sin 𝑥
• Matematik 5 (gymnasiet 17-18)
even more Calculus , differential equations 𝑦’ + 2𝑦 = 2𝑥 + 3 , discrete mathematics
damaf96 (Daniel)
7. Content of courses
• Matematik Grund 13-15 years old (swedish 6 to 9 grade)
plus minus multiplication division percent geometry , mer ...
damaf96 (Daniel)
13. • Matematik 5 (gymnasiet 17-18)
even more Calculus , differential equations 𝑦’ + 2𝑦 = 2𝑥 + 3 , discrete mathematics
14. Contents of courses
• Physics 1 (year 1 gymnasium 15-16-years)
forces density pressure movement acceleration
energy electricity heat relativity momentum
• Physics 2 (year 2 gymnasium 16-17-years)
torque central movement magnetic fields waves
electromagnetic radiation harmonic oscillaitions
optic laws reflecion/refraction measurements of space
• Physics 3 (year 3 gymnasium 17-18-years)
damped mechanical oscillations
(full 2nd order differential equations)
relativity part 2 (special relativity and general relativity)
alternating currents
damaf96 (Daniel Mattsson)
damaf96@gmail.com (Daniel)
15. Contents of courses
• Physics 1 (year 1 gymnasium 15-16-years)
forces density pressure movement acceleration
energy electricity heat relativity momentum
damaf96@gmail.com (Daniel)
16. Contents of courses
• Physics 2 (year 2 gymnasium 16-17-years)
torque central movement magnetic fields waves
electromagnetic radiation harmonic oscillaitions
optic laws reflecion/refraction measurements of space
damaf96@gmail.com (Daniel)
17. Contents of courses
• Physics 3 (year 3 gymnasium 17-18-years)
damped mechanical oscillations
(full 2nd order differential equations)
relativity part 2 (special relativity and general relativity)
alternating currents
damaf96@gmail.com (Daniel)
20. • Öppna browser (chrome eller edge)
• Skriv in geogebra.org eller sök på GeoGebra
• I geogebra.org sökfält: sök på
• Daniel Mattsson
• Daniel Mattsson Matematik 1
• Daniel Mattsson Matematik 1
med filter ”GeoGebra-böcker”
30. Vad har du jobbat med innan
GeoGebra?
med elever , på Hersby , när GeoGebra var nytt,
vi gav elever alternativet att lämna in lösningar
på papper handskrivet eller GeoGebra , filer
med skärmdumpar.
Vi ville att det skulle sprida sig.
Nackdel: olika inlärning i klassen . . .
att kolla:
Hur gammalt är GeoGebra?
21 years old
2022
2021
2020
2019
2018
2017
2016
2015
2014
2013
2012
2011
2010
2009
2008
2007
2006
2005
2004
2003
2002
2001
2000
1999
1998
31. Who are 15-18 in Swe Fin Nor Den Est Lit Aus?
Swe: 9 years: Låg 7-10 Mellan 11-13 Hög 13-15 Gymnasium:15-18 Univ: 18+
Fin: 9 years: 7-15 “upper secondary education” :15-18 Univ: 18+
Nor: 9 years: 7-15 “upper secondary education” :15-18 Univ: 18+
Den: 9 years: 7-15 “upper secondary education” :15-18 Univ: 18+
Austria : 9 years: 7-15 “secondary academic school” :15-18 Univ: 18+
Esto : 9 years: 7-15 “secondary /vocational education” :15-18 Univ: 18+
Ice : 9 years: 7-15 “secondary /vocational education” :16-19 Univ: 19+
Ice
32. Who are 15-18 in Swe Fin Nor Den Est Lit Aus?
15-18
secondary
/vocational
education
high school
33. Who are 15-18 in Swe Fin Nor Den Est Lit Aus?
Swe: 9 years: Låg 7-10 Mellan 11-13 Hög 13-15
Gymnasium:15-18
Univ: 18+
12 % Natur Physics
8 % Teknik Physics
70 %
gymnasium for University
30 %
34.
35. How many are Physics Teachers?
10
20
30
40
50
60
Math
Physics
36. Teachers? Names?
Kenneth (DK)
Solbjörn (Norge)
Markus (AUstria)
Thomas L (Swe)
Jonas Hall (Swe)
Lauri (FIN)
Mladen Zivanovic (Iceland)
Math
Physics
Hannu(FIN)
Stefan (Swe)
André (Swe)
Markko(FIN)
Bjarnheiður Kristinsdóttir
vilhjalmur.thor.sigurjonsson@mk.is
gudrun.sjofn.axelsdottir@mk.is
hrafnhildur.sigurdardottir@mk.is
eythor.eiriksson@mk.is
anna.fanney.olafsdottir@mk.is
holmfridur@verslo.is
sveinn@verslo.is
hera@verslo.is
martin@verslo.is
Freyja Hreinsdottir
nelson.nzouakoua@tik.edu.ee
julia.ratsinskaja@tkvg.ee
Camilla Söderback
tiina.kraav@ut.ee
hannes.jukk@ut.ee
38. This is For Your
PlaneTrip home
+
rest of career
+ spread of GeoGebra
39. This is for your
plane trip home
+
rest of career
+ spread of GeoGebra
40. What do you want to build in GeoGebra?
Does it already exist?
improvements? translation?
extra visualisation?
make into an exercise
make an exercise into a demonstration
Short WorkShop
/ Build
