Tools in mathematics

1. Joyful Learning of Mathematics
Rashmi Kathuria
PGT(Mathematics)
Kulachi Hansraj Model School, Delhi

2. Need of the hour
● To use blended strategies while teaching Mathematics.
● To create interest in teaching learning of Mathematics.
● To enhance higher order thinking skills in learners.
● To enhance 4 C’s creativity, critical thinking,
collaboration and communication
● To cater to needs of different types of learners.

3. Important things for a Mathematics teacher
● Make Mathematics accessible to all
● Encourage students to have passion for learning the subject
● Create joyful independent learning environments
● Knowledge of tools and techniques to cater to needs of
different types of learners

4. Creativity
Mathematics is a beautiful Subject full of incredible Creativity.
● What is Creativity?
● What is Innovation?
● Are the two same or different?
● Do you think creativity is important in teaching?
● Do you think it is important to innovate new ways of
teaching?
● Why a teacher should be creative?

5. Creativity and Innovation
● Creativity means doing things differently.
● There are diverse learners in a classroom. For catering to
needs of all types of learners, a teacher needs to use
blended strategies for making them learn and apply
Mathematics.
● Sometimes, it is required to innovate new ways of teaching.
● Students today are techno savvy and come to classroom
with some knowledge.

6. Tools and techniques
for learning Mathematics
A Snippet

7. #1 Using different types of papers

8. Types of papers

9. Types of papers

10. Types of papers

11. Types of papers
Making a Mathematical Clock

12. Types of papers

13. Types of papers

14. #2 Using Foldables
By Dinah Zike: “A Foldable is a 3-D,
student-made, interactive graphic
organizer based upon a skill. Making a
Foldable gives students a fast, kinesthetic
activity that helps them organize and
retain information.”

15. #3 Frayer Model
● For developing
vocabulary
● For enhancing critical
thinking

16. ● Playing Mathebola
● Sudoku
● Ken Ken
● Crossword
● Jigsaw puzzles
#4 Using Games and Puzzles

17. Playing Mathebola
Creating an enjoyable atmosphere in the classroom is a strategy which enhances
learning to happen in a natural way. Students enjoy learning using games and
puzzles.
● Every students is given a number from 1 to n as per the number of students in
the class.
● Every student is asked to make a question whose answer is same as the number
given to them.
● All the questions are mixed up in a bowl.
● Students make their lucky slip by taking a 5x3 grid and choosing any 6 numbers
of their choice from 1 to n.

18. Playing Mathebola
9
7 18
12 34
● Teacher picks up the slip and read the question. Students
solve each question and if the answer number appears in their
slip they cut it.
● Teacher may give prizes/appreciation for first two, first four,
all answer numbers.
Benefit
● Students learn to create a question applying Math concepts.
● They learn to calculate fast.

19. Playing Sudoku
The goal of Sudoku is to fill in a 9×9 grid with digits so
that each column, row, and 3×3 section contain the
numbers between 1 to 9. At the beginning of the game,
the 9×9 grid will have some of the squares filled in. Your
job is to use logic to fill in the missing digits and complete
the grid. Don’t forget, a move is incorrect if:
● Any row contains more than one of the same
number from 1 to 9
● Any column contains more than one of the same
number from 1 to 9
● Any 3×3 grid contains more than one of the same
number from 1 to 9 ( http://www.sudoku.com/ )

20. Playing KenKen
Rules The numbers you use in a KenKen puzzle depend on the size of the
grid you choose. A 3 x 3 grid (3 squares across, 3 squares down) means
you use the numbers 1, 2, and 3. In a 4 x 4 grid, use numbers 1 to 4. A 5x5
grid requires you use the numbers 1 to 5, and so on.
The numbers in each heavily outlined set of squares, called cages, must
combine (in any order) to produce the target number in the top corner
using the mathematical operation indicated (+, -, ×, ÷).
Here's how you play:
1. Use each number only once per row, once per column.
2. Cages with just one square should be filled in with the target
number in the top corner.
3. A number can be repeated within a cage as long as it is not in the
same row or column. ( http://www.kenkenpuzzle.com/ )

21. Playing KaKuro
1. Just like in sudoku, fill in the grid with the digits
from 1 to 9. Each group of digits must add up to the
number that is just to the left or above it. No group
can repeat the same digit twice.
2. Although they are aligned vertically or horizontally,
a group does not necessarily span the whole column
or row. This means that although you may not
repeat a digit within a group, you may repeat it
within a column or row. There is no requirement to
use all of the digits. (
http://www.kakuroconquest.com/ )

22. Puzzles solving...play way in class

23. Jigsaw puzzles

24. Creating Jigsaw puzzles
Open Source Software- Tarsia http://www.mmlsoft.com/index.php/products/tarsia

25. www.GeoGebra.Org
#5 Using Interactive Applets- GeoGebra

26. #6 Student’s Centric Classrooms- Collaborative
learning using Google Slides

27. #6 Student’s Centric Classrooms

28. #7 Chalkboard to Blogboard

29. #8 You Tube Channel

30. #9 Learning from errors
● Click pictures while
checking tests
● Create a Google doc
Ask the students to
find errors
● Upload on Picasa
● Use pics for research on
common errors
● It helps in devising
better strategies for
teaching learning

31. #10 Appreciating Mathematics Around
● Click pictures from
surroundings
● Upload on Google
photos/blogger
● Ask students to what
Mathematics do they
observe?
● Ask students to frame a
question based on the
given picture.

32. #11 Using Online applets
http://mykhmsmathclass.blogspot.in/2017/06/f
our-colour-challenge-geogebra-game.html
Four colour problem Instructions: Complete the
coloring of this map, so that no two adjacent
regions are the same color. You can only use four
colors: Blue, Green, Red, and Purple. Click on the
regions (quadrilaterals) to color them. To change
the color, click again on the same region. The
puzzle has many solutions.

33. #12 Using Mind mapping
● geometrical shapes
● 2D shapes- Triangle, Quadrilateral,
Square, Rhombus, Rectangle, trapezium,
parallelogram, polygon, pentagon,
hexagon, heptagon, octagon, nonagon,
decagon, icosihengaon, point, line, plane,
parallel lines, intersecting lines,
coincident lines, transversal, angle, acute
angle, obtuse angle, right angle, reflex
angle, complementary angles,
supplementary angles, area, perimeter,
theorem, angle sum property, Pythagoras
theorem,

34. #13 Mathematics in Newspaper

35. #14 Mathematical Craft and Interaction

36. #15 Working in groups

37. #16 Connect with other classrooms

38. #17 Let them say..video activity
Each child is given a
term/concept to explain.
Child writes the video
script and explains the
concept.

39. #17 Let them say..video activity
Each child is
given a
term/concept
to explain.
Child writes
the video script
and explains
the concept.

40. #18 Using Question and Answer slips

41. #19 Naming a Polygon---beyond textbook

42. #20 Using Origami/objects

43. #21 Activities involving self

44. #22 Discussion with experts

45. #23 Peer Teaching

46. #24 Creative discussions

47. Teacher as a learner
Every joyful learning environment consists of learners.
A teacher who is a learner creates joyful learning environment.
Enjoy learning and teaching!
Your comments are welcome - rashmikathuria2013@gmail.com
http://rashmikathuria.webs.com