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Joyful Learning of Mathematics
Rashmi Kathuria
PGT(Mathematics)
Kulachi Hansraj Model School, Delhi
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.
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
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?
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.
Tools and techniques
for learning Mathematics
A Snippet
#1 Using different types of papers
Types of papers
Types of papers
Types of papers
Types of papers
Making a Mathematical Clock
Types of papers
Types of papers
#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.”
#3 Frayer Model
● For developing
vocabulary
● For enhancing critical
thinking
● Playing Mathebola
● Sudoku
● Ken Ken
● Crossword
● Jigsaw puzzles
#4 Using Games and Puzzles
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.
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.
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/ )
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/ )
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/ )
Puzzles solving...play way in class
Jigsaw puzzles
Creating Jigsaw puzzles
Open Source Software- Tarsia http://www.mmlsoft.com/index.php/products/tarsia
www.GeoGebra.Org
#5 Using Interactive Applets- GeoGebra
#6 Student’s Centric Classrooms- Collaborative
learning using Google Slides
#6 Student’s Centric Classrooms
#7 Chalkboard to Blogboard
#8 You Tube Channel
#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
#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.
#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.
#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,
#13 Mathematics in Newspaper
#14 Mathematical Craft and Interaction
#15 Working in groups
#16 Connect with other classrooms
#17 Let them say..video activity
Each child is given a
term/concept to explain.
Child writes the video
script and explains the
concept.
#17 Let them say..video activity
Each child is
given a
term/concept
to explain.
Child writes
the video script
and explains
the concept.
#18 Using Question and Answer slips
#19 Naming a Polygon---beyond textbook
#20 Using Origami/objects
#21 Activities involving self
#22 Discussion with experts
#23 Peer Teaching
#24 Creative discussions
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

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joyful_learning_of_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
  • 11. Types of papers Making a Mathematical Clock
  • 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/ )
  • 24. Creating Jigsaw puzzles Open Source Software- Tarsia http://www.mmlsoft.com/index.php/products/tarsia
  • 26. #6 Student’s Centric Classrooms- Collaborative learning using Google Slides
  • 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
  • 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