ICT Tools in Mathematics latex unicode maths typing maths in ms word typing maths in ms powerpoint

1. I.C.T.Tools in Mathematics
Kapil Pundir, PGT Maths
K.V. Loktak, Manipur
8077291675

2. Table of content
Typing
Maths in
MS Office
LATEX Unicode
Maths
Inserting
equation
in Google
forms
Artificial
Intelligence
Geogebra

3. Typing Maths in MS Office
• Insert > Equation/Symbol > Select the equation type > Insert Equation/Symbol

4. Table of content
Typing
Maths in
MS Office
LATEX Unicode
Maths
Inserting
equation
in Google
forms
Artificial
Intelligence
Geogebra

6. How LATEX works?

8. Table of content
Typing
Maths in
MS Office
LATEX Unicode
Maths
Inserting
equation
in Google
forms
Artificial
Intelligence
Geogebra

9. Unicode Mathematics
Type Setting System Output Input
LATEX
𝑎
𝑏
frac{a}{b}
Unicode Maths
𝑎
𝑏
a/b

10. How to Start?
Alt=
For inserting Equation

11. Most Important Key
/
Forward Slash
Back Slash

12. How to End?
<Space>
Completing the equation

13. Keys on Keyboard

14. Fractions
Sign Code Practice Sign Code Practice
𝑎𝑏𝑐
𝑑
abc/d 𝑎 + 𝑐
𝑑
((a+c))/d
𝑎 + 𝑐
𝑑
(a+c)/d 𝑎 + 𝑐
𝑑
((a+c)/d)
𝑎
𝑏 + 𝑐
𝑑
𝑒 + 𝑓
(a/(b+c))/(d/e +f)

15. Basic Symbols
Sign Code Practice Sign Code Practice
+ + 𝐴° Adegree
- - ∞ infty
× times ∥ parallel
÷ div ⊥ perp
∠ angle ∪ cup
∵ because ∩ cap
∴ therefore

16. Operators
Sign Code Practice Sign Code Practice
≤ leq ∃ exists
≥ geq ∀ forall
∈ in ≠ neq
∋ ni ∼ sim
⊂ subset ≃ simeq
⊆ subseteq ≅ cong
⊃ superset ≈ approx
⊇ superseteq ≡ equiv
± pm ∓ mp

17. Negation of Operators
Sign Code Sign Code Practice
≤ leq ≰ /leq
≥ geq ≱ /geq
∈ in ∉ /in
⊂ subset ⊄ /subset
⊃ superset ⊅ /superset
∃ exists ∄ /exists
≃ simeq ≄ /simeq
≅ cong ≇ /cong
< < ≮ /<
> > ≯ />
= = ≠ /=

18. Some Easy Conversion
Sign Code Practice
≤ <=
≥ >=
≅ ~=
≮ /<
≯ />
≠ /=
± +-
∓ -+
→ ->

19. Subscript / Superscript
Sign Code Practice Sign Code Practice
𝑎𝑏 a^b 𝑎𝑏𝑐
a^b^c
𝑎𝑏 a_b 𝑎𝑏𝑐
a_b_c
𝑎𝑏+𝑐 a^(b+c) 𝑎𝑏+𝑐 a_(b+c)
𝑎𝑐
𝑏 a^b_c 𝑎𝑐
𝑏 a_c^b
𝑛
𝑃𝑟 ^n<Space>P_r lim
𝑛→∞
lim_(nto infty)

20. Roots
Sign Code Practice Sign Code Practice
√ sqrt 𝑎 + 𝑏 sqrt a+b
∛ cbrt 𝑎 + 𝑏 sqrt (a+b)
∜ qdrt
𝑛
root n of

21. Geek Alphabet
Sign Code Practice Sign Code Practice Sign Code Practice
𝛼 alpha 𝜅 kappa 𝜏 tau
𝛽 beta 𝜆 lambda 𝜐 upsilon
𝛾 gamma Λ Lambda Υ Upsilon
Γ Gamma 𝜇 mu 𝜙 phi
𝛿 delta 𝜈 nu Φ Phi
Δ Delta 𝜉 xi 𝜒 chi
𝜖 epsilon Ξ Xi Χ Chi
𝜁 zeta 𝜋 pi 𝜓 psi
𝜂 eta Π Pi 𝜔 omega
𝜃 theta 𝜌 rho Ω Omega
Θ Theta 𝜎 sigma
𝜄 iota Σ Sigma

22. Integration
Sign Code Practice
∫ int
∬ iint
∭ iiint
∮ oint
∯ oiint
∰ oiiint
𝑎
𝑏 int_a^b

23. Arrows
Sign Code Practice Sign Code Practice
← leftarrow ⇐ Leftarrow
→ rightarrow ⇒ Rightarrow
↑ uparrow ⇑ Uparrow
↓ downarrow ⇓ Downarrow
↔ leftrightarrow ⇔ Leftrightarrow

24. Matrices
Sign Code Practice Sign Code Practice
𝑎 𝑏
𝑐 𝑑
matrix (a&b@c&d) 𝑎 𝑏
𝑐 𝑑
(matrix (a&b@c&d))
𝑎 𝑏
𝑐 𝑑
|matrix (a&b@c&d)| 𝑎 𝑏
𝑐 𝑑
[matrix (a&b@c&d)]

25. Piecewise Function
Sign Code Practice
𝑥, 𝑥 ≥ 0
−𝑥, 𝑥 ≤ 0 {matrix (x,&xgeq 0@-x,&xleq 0)close

26. Equations
Sign Code Practice
𝑎 + 𝑏 = 𝑐
𝑎 = 𝑐 − 𝑏
eqarray (a+b&=c@a&=c-b)

27. Enclosures
Sign Code Practice Sign Code Practice
𝑊 = 𝐹. 𝑑 rect (W=f.d) 𝑎 + 𝑏 + 𝑐 (a+b+c)bar <SPACE>
𝑎 + 𝑏 + 𝑐 overbar (a+b+c) 𝑎 + 𝑏 + 𝑐 overbrace (a+b+c)
𝑎 + 𝑏 + 𝑐 underbar (a+b+c) 𝑎 + 𝑏 + 𝑐 underbrace(a+b+c)

28. Other Operators
Sign Code Practice Sign Code Practice
𝑎 avec 𝑎 acheck
𝑎 abar 𝑎 atilde
𝑎 ahat 𝑎 aacute
⊕ oplus 𝑎 agrave
⊖ ominus 𝑎 adot
⊗ otimes 𝑎 addot
𝑎 adddot
NOTE - Insert Extra <SPACE> after code

29. OrdinaryText Inside Equation
Sign Code
A Relation is given in following manner
𝑅 = { 𝑎, 𝑏 : 𝑎 = 𝑏, 𝑎 𝑖𝑠 𝑎 𝑛𝑎𝑡𝑢𝑟𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟}
R={(a,b):a=b,a is a natural number}
A Relation is given in following manner
𝑅 = { 𝑎, 𝑏 : 𝑎 = 𝑏, 𝑎 is a natural number}
R={(a,b):a=b,a “is a natural number”}

30. Probability and Playing Cards
Sign Code Practice
♣ clubsuit
♠ spadesuit
♡ heartsuit
♢ diamondsuit

31. Equation Numbers
Sign Code Practice
𝑎 + 𝑏 = 𝑐 1 a+b=c#(1)
NOTE - Press <ENTER> in place of <SPACE> after code

32. Table of content
Typing
Maths in
MS Office
LATEX Unicode
Maths
Inserting
equation
in Google
forms
Artificial
Intelligence
Geogebra

45. Table of content
Typing
Maths in
MS Office
LATEX Unicode
Maths
Inserting
equation
in Google
forms
Artificial
Intelligence
Geogebra

46. Artificial Intelligence
I
don’t know
how to use
Computer
I
know
how to use
Computer
I
don’t know
how to use
A.I.
I
know
how to use
A.I.
2023
2013 2033 2028

47. Artificial Intelligence
• Here is a quote by Shri S. Radhakrishnan ji, an Indian philosopher and statesman:
“Oh!Teacher, if you run, the student will walk.
If you walk, the student will stand.
If you stand, the student will sit.
If you sit, the student will sleep.
If you sleep, the student will die.”
• Teachers will have to learn Artificial Intelligence before students.
• Students already started using AITools (ChatGPT)
• It can solve the question even if the question is not available on internet.

48. Some AITools forTeachers
DALL-E Education Copilot
Gradescope Teacherbot
Fetchy Curipod
Quillbot SlidesAI

49. Table of content
Typing
Maths in
MS Office
LATEX Unicode
Maths
Inserting
equation
in Google
forms
Artificial
Intelligence
Geogebra

50. Geogebra
• GEOmetry + alGEBRA
• GeoGebra is an interactive geometry, algebra, statistics and calculus application,
intended for learning and teaching mathematics and science from primary school
to university level.
• GeoGebra is available on multiple platforms, with apps for desktops (Windows,
macOS and Linux), tablets (Android, iPad andWindows) and web.
• It is presently owned by Indian edutech firm Byju's.

51. Kapil Pundir
PGT Maths, K.V. Loktak, Manipur
8077291675