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Effective ways to Learn and Teach Mathematics
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1. Introduction
- Basic Interfaces and Tools
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2. Quadratic Equations
- Vieta's Formula for Quadratic Equations
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3. Matrices
- Algebraic Operations on Matrices
- Algebraic Operations on Matrices - Order 3
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4. Vectors
- Addition of two Vectors in Three Dimensional
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5. Functions
- Functions
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6. Derivative of a Function
- Derivative of a Function
- Continuous at a point
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7. Complex Numbers
- Algebraic operations on Complex Numbers
- n th roots of unity - 21 december 2021
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8. Parts of a Circle
- parts of circle
- The perpendicular bisector of a chord
- Angle subtended by an arc or chord
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Effective ways to Learn and Teach Mathematics
K.KUMARAVELU, Feb 20, 2022
Effective ways to learn and teach mathematics using the GeoGebra Software.
Table of Contents
- Introduction
- Basic Interfaces and Tools
- Quadratic Equations
- Vieta's Formula for Quadratic Equations
- Matrices
- Algebraic Operations on Matrices
- Algebraic Operations on Matrices - Order 3
- Vectors
- Addition of two Vectors in Three Dimensional
- Functions
- Functions
- Derivative of a Function
- Derivative of a Function
- Continuous at a point
- Complex Numbers
- Algebraic operations on Complex Numbers
- n th roots of unity - 21 december 2021
- Parts of a Circle
- parts of circle
- The perpendicular bisector of a chord
- Angle subtended by an arc or chord
Basic Interfaces and Tools
Introduction
GeoGebra is an open-source Dynamic Mathematics Software for teaching and learning mathematics from middle school through college level. With an easy user interface, it is not only a popular Dynamic Geometry Software but also provides basic features of Computer Algebra Systems to bridge some gaps between geometry, algebra, and calculus.
Interfaces
GeoGebra has three basic interfaces
1. Algebra View 2. Spreadsheet View 3. Graphics View and Two advanced interfaces 4. 3D Graphics View 5. CAS ( Computer Algebra System)
Basic Tools
Vieta's Formula for Quadratic Equations
Algebraic Operations on Matrices
Algebraic Operations on Matrices
Basic operations on Matrices are1. Multiplication of a Matrix by a scalar, 2. Addition / Subtraction of two Matrices, and 3. Multiplication of two Matrices
NOTE: There is no concept of dividing a matrix by another matrix and thus, the operation , where and are matrices, is not defined.
Addition of two Vectors in Three Dimensional
Functions
we construct an applet to establish geometrically the correspondence of a number and its image under a function.
Derivative of a Function
Derivative of a function at a point
Derivative of a function at a point is the slope of the tangent to the corresponding curve at that point.
Algebraic operations on Complex Numbers
sum and difference of two complex numbers.
try to find the product of two complex numbers using the input command
z_1*z_2
parts of circle
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