Difference between revisions of "Portal:Mathematics"

From Karnataka Open Educational Resources
Jump to navigation Jump to search
 
(41 intermediate revisions by 4 users not shown)
Line 1: Line 1:
'''If you wish to contribute to Karnataka Open Educational Resources, [http://karnatakaeducation.org.in/?q=node/292/ Click here]'''
+
[http://karnatakaeducation.org.in/KOER/index.php/ಪ್ರವೇಶದ್ವಾರ:ಗಣಿತ ''ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ'']
  
 
+
{| style="width:100%;font-size:80%;border-collapse:separate;border-spacing:10px;"
<!-- This portal was created using subst:box portal skeleton  -->
+
|{{Color-table|theme=3|title=[[Mathematics: History|The Story of Mathematics]]}}
<!--        BANNER ACROSS TOP OF PAGE        -->
+
|{{Color-table|theme=2|title=[[Mathematics: Philosophy|Philosophy of Mathematics]]}}
{| id="mp-topbanner" style="width:100%;font-size:100%;background:#f9f9f9"
+
|{{Color-table|theme=6|title=[[Mathematics: Pedagogy|Teaching of Mathematics]]}}
|-
+
|{{Color-table|theme=12|title=[[Maths: Curriculum and Syllabus|Curriculum and Syllabus]]}}
<!--        Cell 1        -->
+
|{{Color-table|theme=8|title=[[Maths topics by class|Maths topics by class]]}}
| style="text-align:center; width:25%; font-size:100%;margin-left:auto;margin-right:auto;border:1px solid #ddd;" |
+
|{{Color-table|theme=9|title=[[Text Books|Textbooks]]}}
[[Maths: History|History of Maths]]<br>
+
|{{Color-table|theme=7|title=[[Maths: Question Papers|Question Bank]]}}
[[Maths|Philosophy of the Maths]]<br>
 
<!--        Cell 2        -->
 
| style="text-align:center; width:25%; font-size:100%;margin-left:auto;margin-right:auto;border:1px solid #ddd;" |
 
[[Maths: Pedagogy|Teaching of Maths]]<br>
 
[[Maths: Curriculum and Syllabus|Curriculum and Syllabus]]<br>
 
|
 
<!--        Cell 3      -->
 
| style="text-align:center; width:25%; font-size:100%;margin-left:auto;margin-right:auto;border:1px solid #ddd;" |
 
[http://karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br>
 
[[Maths: Question Papers|Question Papers]]<br>
 
<!--        Cell 4      -->
 
| style="text-align:center; width:25%; font-size:100%;margin-left:auto;margin-right:auto;border:1px solid #ddd;" |
 
[[Maths: Teaching Outlines|Teaching Outlines]]<br>
 
[[Maths: Student Materials|Student Materials]]<br>
 
 
|}
 
|}
 +
{{Color-box|11|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.
  
<br>
+
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. }}
  
<br>
+
<div style="float:left; width:49%;">
<div style="clear:both; width:100%">
+
{{Color-box|1|Classroom resources|This section will feature resources for classroom teaching including online, digital and other hands-on activities.
  
{{{{FULLPAGENAME}}/box-header|<big>{{PAGENAME}}</big>|{{FULLPAGENAME}}/Introduction|}}
+
We will begin with Geometry - triangles and will be adding resources every week.
{{{{FULLPAGENAME}}/Introduction}}
 
{{{{FULLPAGENAME}}/box-footer|}}
 
  
<div style="float:left; width:55%;"> <!-- This width adds to the margin below to equal 99%-->
+
#[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. 
  
{{{{FULLPAGENAME}}/box-header|Interesting news|{{FULLPAGENAME}}/News|}}
+
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.
{{{{FULLPAGENAME}}/News}}
 
{{{{FULLPAGENAME}}/box-footer|}}
 
  
{{{{FULLPAGENAME}}/box-header|Articles by Teachers|{{FULLPAGENAME}}/Teachers Articles|}}
+
{{#widget:YouTube|id=1ul8g55dYA4|height=350|width=500}}
{{{{FULLPAGENAME}}/Teachers Articles}}
+
}}
{{{{FULLPAGENAME}}/box-footer|}}
 
  
{{{{FULLPAGENAME}}/box-header|Famous Mathematicians|{{FULLPAGENAME}}/Famous_Mathematicians|}}
 
{{{{FULLPAGENAME}}/Famous_Mathematicians}}
 
{{{{FULLPAGENAME}}/box-footer|}}
 
  
{{{{FULLPAGENAME}}/box-header|Events and Happenings|{{FULLPAGENAME}}/Events and Happenings|}}
+
{{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!
{{{{FULLPAGENAME}}/Events and Happenings}}
 
{{{{FULLPAGENAME}}/box-footer|}}
 
  
{{{{FULLPAGENAME}}/box-header|Book Shelf|{{FULLPAGENAME}}/Book Shelf|}}
+
[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]
{{{{FULLPAGENAME}}/Book Shelf|}}
 
{{{{FULLPAGENAME}}/box-footer|}}
 
  
{{{{FULLPAGENAME}}/box-header|Fun corner|{{FULLPAGENAME}}/Fun corner|}}
+
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.}}
{{{{FULLPAGENAME}}/Fun corner}}
 
{{{{FULLPAGENAME}}/box-footer|}}
 
  
{{{{FULLPAGENAME}}/box-header|Categories|{{FULLPAGENAME}}/Categories|}}
 
{{{{FULLPAGENAME}}/Categories}}
 
{{{{FULLPAGENAME}}/box-footer|}}
 
 
</div>
 
</div>
  
<div style="width:44%; float:right;">
+
<div style="width:49%; float:right;">
{{{{FULLPAGENAME}}/box-header|Topics|{{FULLPAGENAME}}/Topics|}}
+
{{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.
{{{{FULLPAGENAME}}/Topics}}
+
 
{{{{FULLPAGENAME}}/box-footer|}}
+
[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.
 +
 
 +
 
 +
[[File:Romping in numberland.png|450px]]
 +
}}
 +
 
 +
 
 +
{{Color-box|4|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 [https://karnatakaeducation.org.in/KOER/en/index.php/Turtle_Art here] for a series of lessons on introducing Turtle Blocks.
 +
[[File:Turtle1a.png|450px]]
 +
 
 +
}}
 +
 
  
{{{{FULLPAGENAME}}/box-header|From the forum|{{FULLPAGENAME}}/From the forum|}}
+
{{Color-box|6|Math Teaser|
{{{{FULLPAGENAME}}/From the forum}}
+
Do you know that your phone number can reveal your age? It takes about 15 seconds to do!
{{{{FULLPAGENAME}}/box-footer|}}
 
  
{{{{FULLPAGENAME}}/box-header|Spotlight|{{FULLPAGENAME}}/Spotlight|}}
+
Find such [[Mathematics_fun_corner |Math Teasers and fun stuff]] here.
{{{{FULLPAGENAME}}/Spotlight}}
+
 
{{{{FULLPAGENAME}}/box-footer|}}
+
}}
  
 
</div>
 
</div>
 +
 +
[[Category:Mathematics]]
 +
[[Category:Portal]]

Latest revision as of 13:08, 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.