COL-TMT

Introduction to the course and overview of ICT tools and Open Educational Resources
Learners will able to:
 * 1) apply the principles of Free and Open Software and Open Educational Resources as well as their implications for equity
 * 2) install Geogebra and get introduced to Geogebra for creating some  basic sketches

Installation of Geogebra
Presentation slide:

Installing Geogebra slides

Introduction to Geogebra
Geogebra File:

Introduction to Geogebra- Angle construction.gbb

ICT and Education
Presentation slide:

ICT and Education- slides

Introduction to Geogebra
Learners will able to:
 * 1) get a working proficiency of the Geogebra application and all its functionalities;
 * 2) create Geogebra sketches as teaching resources for high-school maths concepts.

Creating text box and Input bar in Geogebra
Geogebra file:

Sum of Measures of Angles of a triangle using textbox and input bar.ggb

Lines and Angles
Geogebra files:

Angles introduction.ggb

Introduction of a triangle.ggb

Exploring Similarity
Presentation slides:

Use of Geogebra for teaching learning Similarity.odp

Geogebra files:

Congruence introduction to different shapes.ggb

Triangle Congruence.ggb

Demonstrating proportionality.ggb

Exploring Similarity.ggb

Developing mathematical proficiencies of logical reasoning and problem-solving
Learners will able to:
 * 1) strengthen their working proficiency of the Geogebra application and all its functionalities, by creating more complex sketches;
 * 2) create Geogebra sketches as teaching resources for theorems and problems;
 * 3) access, and contribute to OER repositories of Geogebra.

Use of Slider and Input Box in Geogebra
Presentation slides:

Use of sliders for animating Geogebra files.odp

Use of sliders for animating Geogebra files.pdf

Use of checkbox to create an interactive lesson
Presentation slides:

Use of checkboxes.odp

Use of checkboxes.pdf

Basic Proportionality Theorem
Presentation slide:

Use of Geogebra for teaching learning Basic Proportionality.pdf

Linear Equation and Simultaneous Linear Equation
Presentation slides:

Exploring Geogebra for self learning.pdf

Strengthening teaching-learning processes in classrooms
Learners will be able to:
 * 1) create lessons using Geogebra for teaching high-school mathematics;
 * 2) evaluate multiple resources including Geogebra resources for the development of a lesson plan;
 * 3) develop a sense of comfort and familiarity with transacting lessons using Geogebra in classrooms.

Lesson in Pythagoras theorem
Presentation slides:

A lesson in Pythagoras theorem.pdf

Pythagoras theorem related Geogebra files:
 * Illustration with unit square.ggb
 * Bhaskara's Dissection Proof Showing Dissection.ggb
 * Bhaskara's Dissection Proof Explained Visually.ggb
 * Bhaskara's Dissection Proof Explained Algebraically.ggb
 * Pythagoras Theorem Logical proof.ggb

Lesson on Circles
Presentation slides:

Use of Geogebra for teaching learning - Circles.pdf

Use of Geogebra for teaching learning - Circles.odp

Geogebra files related to circles:
 * Introduction to circles.ggb
 * File:Introducing common measures in a circle.ggb
 * File:Angles in a circle.ggb
 * File:Dividing a circle into arcs and sectors.ggb
 * File:Dividing a circle into arcs and sectors - to show ratios.ggb
 * File:Introduction to secant and tangent.ggb
 * File:Circle through 3 points.ggb
 * File:Circle through 3 points proof.ggb
 * File:Polygon tending to circle.ggb
 * File:Tangent is perpendicular to radius.ggb
 * File:Equal chords and distance from center.ggb
 * File:Equidistantchords (alternate construction).ggb
 * File:Chord length and perpendicular distance from centre.ggb
 * File:Pependicular from center to chord divides the chord.ggb

Parallelogram Construction
Parallelogram Construction.ggb

Additional Videos
Learners will be able to-
 * 1) Explore advanced mathematical concepts through Geogebra
 * 2) Understand and create resources on limits of a function and its application using Geogebra
 * 3) Understand and create resources on derivative of a function using Geogebra
 * 4) Explore the demonstration of 3D tools and create Geogebra files.

Limits and Derivatives
Introduction to limits of a function

Click here for transcript of the video

Geogebra files on limits of a function : Application of limits of a function- Derivatives
 * Slope of the function 2x+1.ggb
 * Quadratic function f(x) = x2.ggb
 * Limits of a function 2x+1.ggb

Explore 3D Geometry using Geogebra
Introduction to 3D Geometry

Finding Surface Area of the Right Prism

Finding Volume of the Right Prism

Downloading and uploading resources on OER Geogebra Repository
Learners will be able to: Click this link for opening the Geogebra repository https://www.geogebra.org/
 * 1) download and upload Geogebra resources from the Geogebra Repository

Presentation slide:

Geogebra - Creating your account on Geogebra OER repository and uploading and sharing your resources.pdf

Resources
Installing on computer -  https://wiki.geogebra.org/en/Reference:GeoGebra_Installation#GeoGebra_Classic_5_for_Desktop
 * Teachers' toolkit for creating and re-purposing OER using FOSS
 * Installing Geogebra - website to download Geogebra from

Installing on phone - https://www.geogebra.org/download This document provides a sequenced list of activities for your hands-on practice of Geogebra.
 * Geogebra hands-on activities checklist

Some of these have been covered in the lectures. Some you can try based on what we have covered in the lecture.

You can refer to the Learn_Geogebra user  manual for help and also to the online Geogebra manual
 * Learnings from using Geogebra to support mathematics teaching in government high schools

Kentaro Toyama. 2011. There Are No Technology Shortcuts to Good Education “The means are the ends”: The alignment between OER and FOSS, May 2015. a blog by Gurumurthy Kasinathan Student textbook and  teacher  handbook for teaching Mathematics with Geogebra - can be used to start with any grade from 6 through 10 IT for Change developed the student textbook and teacher handbook for the state of Telangana, India, with support from Commonwealth Educational Media Centre for Asia (CEMCA), an associate of Commonwealth of Learning. This article by Dr. Sanjaya Mishta explore how institutional capacity building can be a determinant for the effectiveness of OER based e-learning. This handbook introduces teachers to the use of different technology tools available for teachers for creating lessons, in their teaching-learning as well as for their planning. This is a COL publication. Page 116-124 from the book called "Strands of Mathematical Proficiency, Chapter 4 This edited compendium comprises articles on theories of learning,  design thinking, and learning in communities.
 * There Are No Technology Shortcuts to Good Education
 * Open Educational Resources (OER) and Free and Open Source Software (FOSS) are aligned
 * Teaching using Geogebra in the classroom (student textbook and teacher handbook)
 * 1)    ICT student textbook/Explore maths with Geogebra level 1
 * 2)    ICT student textbook/Explore maths with Geogebra level 2
 * 3)    ICT student textbook/Explore maths with Geogebra level 3
 * 4)    ICT Teacher handbook
 * Developing institutional capacities for OER based e-learning
 * Technology tools for teachers
 * Strands of Mathematics proficiency
 * Constructionism in practice