Difference between revisions of "Portal:Mathematics"

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However, to appreciate the poetry of this language or to transact, one must learn the grammar and acquire the vocabulary. And school mathematics is largely about acquiring the skills to communicate and develop the love for the language. This portal is for students and teachers to engage with this language and build those skills. }}
 
However, to appreciate the poetry of this language or to transact, one must learn the grammar and acquire the vocabulary. And school mathematics is largely about acquiring the skills to communicate and develop the love for the language. This portal is for students and teachers to engage with this language and build those skills. }}
<div style="float:left; width:55%;"> <!-- This width adds to the margin below to equal 99%-->
 
{{Color-box|11|Fun Corner|[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics_fun_corner#Phone_number_birthday_puzzle '''Phone number birthday puzzle''']
 
  
[[File:phone-number-keypad.jpg|150px]]
+
<div style="float:left; width:49%;">
'''YOUR PHONE NUMBER WILL REVEAL YOUR AGE'''
+
{{Color-box|1|Classroom resources|This section will feature resources for classroom teaching including online, digital and other hands-on activities.
  
Your Phone number will reveal your actual Age. It will take about 15 seconds,read and do it at the same time so that you will not lose the fun.
+
We will begin with Geometry - triangles and will be adding resources every week.
#Take a look at your last digit of your cell phone number
 
#Use this figure and multiply by 2
 
#Then add 5
 
#And then multiply by 50
 
#And then add the number 1765
 
#The last step; with this number, subtract your birth year.
 
  
Now you see a three-digit number. The first digit is the last digit of your phone number, the next two digits are your actual age!  You can use the attached [http://karnatakaeducation.org.in/KOER/en/images/1/17/Phone_number_birthday_puzzle.ods spreadsheet] to solve this and find out why it works!!
+
#[https://karnatakaeducation.org.in/KOER/en/index.php/Geometry_-_an_overview_of_concepts An overview of Geometry topics]
 +
#[https://karnatakaeducation.org.in/KOER/en/index.php/Triangles Lesson plans for triangles].}}
 +
{{Color-box|3|Featured ICT resource|3=In this section, we will explore useful digital resources for teaching mathematics. 
  
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics_fun_corner#Maths_Quizzes '''Maths Quizzes''']
+
This week, we are featuring a video on how to prove Pythagoras theorem, using Bhaskara's dissection proof. This can be a very useful activity to be given under the Vidyagama program.
  
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics_fun_corner#The_origin_of_the_calendar '''The origin of the calendar''']
+
{{#widget:YouTube|id=1ul8g55dYA4|height=350|width=500}}
 
 
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics_fun_corner#Magic_Square '''Magic Square''']
 
 
}}
 
}}
{{Color-box|11|Famous Mathematicians|Here is a video on Srinivasa Ramanujam and his magic square shared by Sunitha Madam.<br>
 
{{#widget:YouTube|id=IW74oqvhSuI| 200| left}}
 
}}
 
{{Color-box|11|Articles by Teachers|National Conference on "[http://www.ncert.nic.in/MathematicsConference.htm Developing Mathematics Teachers for Quality Learning for All]" was organized on Dec 20-22 at Regional Institute of Education, Ajmer.  '''Praveen Sir from Kolar''' district participated and made a poster presentation on the use of Origami for mathematics teaching.
 
  
He has shared:
 
"I  got a great opportunity to represent my state/school to the entire country through a confrence called National Conference on Teachers of Mathematics Quality Learning for all. Out of 120 papers recieved, only 70 were selected to present. I was forutnate enough to be one of 70s. I presented a poster on ORIGAMI. Very few people knew ORIgami there. That mae my poster very special.I
 
presenter the poster on the topic : "teaching of geometry using origami in the class room." I could able to present 10 posters on the topic and also demonstrated several 2-d, 3-d objects. Mine was not like the other lectures. Even the convener appreciated the action of Origami."
 
  
See pictures below.
+
{{Color-box|5|Interesting read|In this very interesting article, "engineer-mathematician" Dr Barbara Oakley talked about how mastering procedural fluency, combined with language fluency helped her master mathematics, even when she began learning advanced math at the age of 26!
  
{{#widget:Picasa
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[http://nautil.us/issue/17/big-bangs/how-i-rewired-my-brain-to-become-fluent-in-math How I rewired my brain to become fluent in math]
|user=itfc.communications@gmail.com
 
|album=5987228458659249233
 
|width=300
 
|height=200
 
|captions=1
 
|autoplay=1
 
|interval=5
 
}}
 
}}
 
{{Color-box|11|Interesting news|If mathematics is a language, then how does it seem to describe all the observed things in the universe from helical DNA structures to black holes.  Mathematicians and scientists have talked about the unreasonable effectiveness of mathematics.  So is mathematics inherent in the universe or is it part of the way the human brain is wired?  This question is being studied and some recent research can be accessed [http://www.sciencedaily.com/releases/2013/07/130715070138.htm here].
 
}}
 
{{Color-box|11|Events and Happenings|[[Understanding relationships between different forms of mathematical knowledge | “Understanding the relationships between different forms of mathematical knowledge (out of school) and school mathematical knowledge ” - Researcher: Bindu Thirumalai]] - September 5, 2013
 
}}
 
{{Color-box|11|Book Shelf|[http://archive.org/stream/schoolgeometry00hall A School Geometry] By Hall and Stevens. Must read book for all the math teachers. Costs only Rs80 and is available through Flipcart and infibeam.
 
}}
 
{{Color-box|11|Categories|[[:Category:Mathematics|Categories in Mathematics]]
 
}}
 
</div>
 
<div style="width:44%; float:right;">
 
{{Color-box|11|Topics|
 
==Classroom resources==
 
[[File:Maths-resource-image.png|left|100px]] Find here mind maps, activities, video and multimedia resources for science lessons in Class 9.The resources have been developed to help build conceptual understanding and have been arranged according to the chapters in the textbook. 
 
  
'''Mathematics foundational materials please  [http://karnatakaeducation.org.in/KOER/en/index.php/Foundational_mathematics Click here]'''
+
Barbara Oakley is a professor of engineering at Oakland University, Rochester, Michigan, and the author of, most recently, A Mind for Numbers: How to Excel at Math and Science (Even If
 You Flunked Algebra). She is also co-instructor, with Terrence Sejnowski, the Francis Crick Professor at the Salk Institute, of one of the world’s largest online courses, “Learning How to Learn,” with Coursera.}}
  
'''For typing formula on KOER, please''' [http://karnatakaeducation.org.in/KOER/en/index.php/Math_Formula_on_Wiki '''click here'''].
+
</div>
  
'''For Question papers and CCE activities please''' [http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers '''click here''']
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<div style="width:49%; float:right;">
 +
{{Color-box|2|Resources for hands-on activities|This is a collection of hands-on activities that can be used for Vidyagama program. Check regularly for updates.
  
'''For solved problems please''' [http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics_Solved_problems '''click here''']
+
[http://www.arvindguptatoys.com/arvindgupta/rompinginnumberlandeng.pdf Romping in Numberland] is an extremely interesting book where you can find some simple activities for introducing the joy of numbers.  This is a great resource for bridge course or even for students to explore numbers and will help them in their number skills and operations.  Click [http://www.arvindguptatoys.com/arvindgupta/rompinginnumberlandeng.pdf here] to download.
  
'''For additional resources and teaching activities click below''':
 
# [http://karnatakaeducation.org.in/KOER/en/index.php/Permutations_And_Combinations Permutations and Combinations]
 
# [http://karnatakaeducation.org.in/KOER/en/index.php/Progressions Progressions]
 
# [http://karnatakaeducation.org.in/KOER/en/index.php/Graphs_And_Polyhedra Graphs And Polyhedra]
 
# [http://karnatakaeducation.org.in/KOER/en/index.php/Probability Probability]
 
# [http://karnatakaeducation.org.in/KOER/en/index.php/Polynomials Polynomials]
 
# [http://karnatakaeducation.org.in/KOER/en/index.php/Sets Sets]
 
# [http://karnatakaeducation.org.in/KOER/en/index.php/Co-ordinate_geometry Activity for Co-ordinate Geometry]
 
# [http://karnatakaeducation.org.in/KOER/en/index.php/Mensuration Mensuration]
 
# [http://karnatakaeducation.org.in/KOER/en/index.php/Trigonometry Trigonometry]
 
# [http://karnatakaeducation.org.in/KOER/en/index.php/Simultaneous_Linear_Equations Simultaneous_Linear_Equations]
 
# [http://karnatakaeducation.org.in/KOER/en/index.php/Triangles Triangles]
 
# [http://karnatakaeducation.org.in/KOER/en/index.php/Congruence_of_triangles Congruence of Triangles]
 
# [http://karnatakaeducation.org.in/KOER/en/index.php/Similar_and_congruent_triangles Similar Triangles]
 
# [http://karnatakaeducation.org.in/KOER/en/index.php/Concurrency_in_triangles Concurrency in triangles]
 
# [http://karnatakaeducation.org.in/KOER/en/index.php/Quadrilaterals Quadrilaterals]
 
# [http://karnatakaeducation.org.in/KOER/en/index.php/Circles Circles]
 
# [http://karnatakaeducation.org.in/KOER/en/index.php/Circles_and_lines Circles Chord Properties]
 
# [http://karnatakaeducation.org.in/KOER/en/index.php/Circles_and_lines#Concept_.232.Secant_and_Tangent Circles Tangent Properties]
 
  
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics More]
+
[[File:Romping in numberland.png|450px]]
 
}}
 
}}
{{Color-box|11|From the forum|3='''Some interesting exchanges from the STF mailing forum.'''
 
  
To join the forum, visit this group here.
 
[[https://groups.google.com/forum/?hl=en-US#!forum/mathssciencestf]]
 
[[Image:one.jpg]]
 
'''Square root of a number'''
 
  
The squre root of whole number is always less than the that square number ( ex; sqare root of 25 is 5, 36 is 6 etc) but in decimal it is reverse (ex; sqare root 0.8 is o.89) what is the reason? Shared by Suchetha SS, GHS Thyamagondulu.
+
{{Color-box|4|Learn Visual Programming|Turtle Blocks is a logo based programming environment for introducing students to the basics of programming.  
  
[[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_From_the_forum#Square_root_of_a_number Read More]]
+
We can use this to develop visualization, logical reasoning and algorithmic sense in students by performing various operations with the Turtle. This can help in the building of computational thinking and you can also introduce some geometry through this.
  
'''CarMetal is a Geogebra like free software'''
+
Click [https://karnatakaeducation.org.in/KOER/en/index.php/Turtle_Art here] for a series of lessons on introducing Turtle Blocks.
 +
[[File:Turtle1a.png|450px]]
  
A description of another graphic tool like Geogebra. Shared by Tharanath Achar, GPUC Belthangady.
+
}}
  
[[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_From_the_forum#CaRMetal_is_a_Geogebra_like_free_software Read More]]
 
  
'''Math teaser about an arithmetic progression'''
+
{{Color-box|6|Math Teaser|
 
+
Do you know that your phone number can reveal your age? It takes about 15 seconds to do!
P th term of an AP is Q and Q th term of an AP is P . Then find PQ th term ?....Shared by Mallikarjun Sudi, GHS Yelheri and Sneha Titus, APU.
 
[[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_From_the_forum#P_th_term_of_an_AP_is_Q_and_Q_th_term_of_an_AP_is_P_._Then_find_PQ_th_term_.3F Read More]]
 
 
 
'''Pi Day'''
 
 
 
Which day is Pi Day?
 
[[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_From_the_forum#Which_day_is_Pi_Day_.3F Find out]]
 
 
 
'''Trigonometry using Geogebra'''
 
Basics of Trigonometry using Geogebra, lesson shared by Radha Narve, GHS Begur. 
 
Click [[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_From_the_forum#Trignometric_Ratios here]] to read more.}}
 
  
 +
Find such [[Mathematics_fun_corner |Math Teasers and fun stuff]] here.
  
 +
}}
  
{{Color-box|11|Spotlight|#Check out this online geometry box that you can use to show constructions for students.  This tool can also be downloaded.  The tool requires flash player.  Click [http://www.mrreddy.com/geometrytoolbox.swf here] to view.
 
#[http://unescobkk.org/education/ict/online-resources/databases/ict-in-education-database/item/article/cultivating-a-community-of-practice-for-teacher-professional-development UNESCO article on a Maths teachers community of learning]
 
}}
 
 
</div>
 
</div>
  
 
[[Category:Mathematics]]
 
[[Category:Mathematics]]
 
[[Category:Portal]]
 
[[Category:Portal]]

Latest revision as of 18:38, 5 September 2020

ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ

Welcome to the Mathematics Portal

Mathematics is a language - many mathematicians have described the process of mathematics as art and poetry. Bertrand Russell once wrote, “Mathematics possesses not only truth but supreme beauty, a beauty cold and austere, like that of sculpture, sublimely pure and capable of a stern perfection, such as only the greatest art can show.” Other mathematicians and scientists have often written about the unreasonable effectiveness of mathematics in explaining the world around. Notwithstanding the poetry and the beauty, a functional knowledge of mathematics and computing is an essential skill for transacting in society.

However, to appreciate the poetry of this language or to transact, one must learn the grammar and acquire the vocabulary. And school mathematics is largely about acquiring the skills to communicate and develop the love for the language. This portal is for students and teachers to engage with this language and build those skills.


Classroom resources

This section will feature resources for classroom teaching including online, digital and other hands-on activities.

We will begin with Geometry - triangles and will be adding resources every week.

  1. An overview of Geometry topics
  2. Lesson plans for triangles.


Featured ICT resource

In this section, we will explore useful digital resources for teaching mathematics.

This week, we are featuring a video on how to prove Pythagoras theorem, using Bhaskara's dissection proof. This can be a very useful activity to be given under the Vidyagama program.



Interesting read

In this very interesting article, "engineer-mathematician" Dr Barbara Oakley talked about how mastering procedural fluency, combined with language fluency helped her master mathematics, even when she began learning advanced math at the age of 26!

How I rewired my brain to become fluent in math

Barbara Oakley is a professor of engineering at Oakland University, Rochester, Michigan, and the author of, most recently, A Mind for Numbers: How to Excel at Math and Science (Even If
 You Flunked Algebra). She is also co-instructor, with Terrence Sejnowski, the Francis Crick Professor at the Salk Institute, of one of the world’s largest online courses, “Learning How to Learn,” with Coursera.


Resources for hands-on activities

This is a collection of hands-on activities that can be used for Vidyagama program. Check regularly for updates.

Romping in Numberland is an extremely interesting book where you can find some simple activities for introducing the joy of numbers. This is a great resource for bridge course or even for students to explore numbers and will help them in their number skills and operations. Click here to download.


Romping in numberland.png



Learn Visual Programming

Turtle Blocks is a logo based programming environment for introducing students to the basics of programming.

We can use this to develop visualization, logical reasoning and algorithmic sense in students by performing various operations with the Turtle. This can help in the building of computational thinking and you can also introduce some geometry through this.

Click here for a series of lessons on introducing Turtle Blocks. Turtle1a.png




Math Teaser


Do you know that your phone number can reveal your age? It takes about 15 seconds to do!

Find such Math Teasers and fun stuff here.