Learn by following GeoGebra
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Description
Book Introduction
A math class that fosters mathematical creativity!!
GeoGebra is a free math program that can foster mathematical creativity in children who will live in the society of the future.
With GeoGebra, you can do everything from “drawing shapes,” “drawing graphs of functions and equations,” “3D graphs,” “differentiation and integration,” and “probability and statistics,” and you can implement “mathematics that can be seen, understood, and created” rather than simply solving problems.
Due to the Fourth Industrial Revolution, future society is expected to change and develop at an unpredictable pace. The most important core competency required in the future society is “mathematical creativity” or “mathematical thinking ability.”
Simply solving problems will not foster the mathematical creativity required in future society.
This is why we need to develop the ability to visualize mathematical concepts and program various problems using GeoGebra.
GeoGebra is a free math program that can foster mathematical creativity in children who will live in the society of the future.
With GeoGebra, you can do everything from “drawing shapes,” “drawing graphs of functions and equations,” “3D graphs,” “differentiation and integration,” and “probability and statistics,” and you can implement “mathematics that can be seen, understood, and created” rather than simply solving problems.
Due to the Fourth Industrial Revolution, future society is expected to change and develop at an unpredictable pace. The most important core competency required in the future society is “mathematical creativity” or “mathematical thinking ability.”
Simply solving problems will not foster the mathematical creativity required in future society.
This is why we need to develop the ability to visualize mathematical concepts and program various problems using GeoGebra.
index
00 Getting Started with GeoGebra
01 Introducing GeoGebra 14
The Beginning of GeoGebra 14
02 Getting Started with GeoGebra 15
Install Chrome Browser 15
Go to GeoGebra 16
Sign up for GeoGebra 18
Log in to GeoGebra 19
03 GeoGebra's Four Representative Apps 22
Graphing Calculator 22
Geometry 24
GeoGebra Classic 6 26
3D Calculator 32
01 Download / Install GeoGebra Classic 6 38
Download / Install GeoGebra Classic 6 38
02 GeoGebra 6 Geometric Tools Menu 41
Move Tool 42
Point Tool 44
Straight Line Tool 53
Vertical Line Tool 58
Polygon Tool 66
Circle Tool 69
Ellipse Tool 74
Each tool 77
Shape Symmetry / Rotation / Translation Tool 83
Slider Tool 89
Geometry Window Move Tool 98
02 3D graph
01 3D Graph Geometry Tool Menu 102
GeoGebra 6 and 3D Graph Menu Window Tools 102
Vertical Line Tool 103
Circle Tool 104
Cross-section tool 107
Plane Tool 108
Polyhedron Tool 113
Old Tool 120
Symmetry Tool 121
Viewing Tools 123
02 Quadratic curve (conic section) 124
Types of Quadratic Curves 124
Drawing a Cone 126
Drawing an Infinite Cone 128
Drawing a Circle 131
Drawing an Oval 135
Drawing a Parabola 136
Drawing a Hyperbola 137
03 Differentiation and Integration
01 Differential coefficient 140
Differential coefficient 140
02 Derivatives and Their Graphs 142
Derivatives of Polynomial Functions 142
Derivatives of Trigonometric Functions 144
03 Section 146
Section 146
Finding Commands in GeoGebra Classic 6 148
04 Integral 150
The area of the shape enclosed by the graph of the function and the axis is 150
Area of the region enclosed by the graphs of two functions 152
Indefinite integral 154
04 Probability/Statistics
01 Spreadsheet 158
Opening a Spreadsheet & Entering Data 158
02 Data Organization 161
Histogram / Frequency Distribution Polygon 161
Bivariate Regression Analysis 163
03 Probability Calculator (Normal Distribution/Binomial Distribution) 164
Probability Calculator 164
Normal distribution 167
Binomial distribution 170
05 Drawing of shapes
01 Construction of basic shapes 172
Constructing the perpendicular bisector of a line segment 172
Parallel Line Drawing 175
Triangle Construction (SSS) [1] When the lengths of the three sides are known 178
Triangle Construction (SAS) [2] When the lengths of two sides and the size of the included angle are known 182
Triangle Construction (ASA) [3] When the length of one side and the size of the angles at both ends are known 186
02 Utilization of Drawing 191
Drawing of a circle tangent to a straight line 191
Drawing of the original tangent to two sides of the angle 193
Original drawing 196 rolling on a straight line
Original drawing 199 rolling over the circle
03 Properties of Triangles 202
Constructing an Isosceles Triangle (using a Circle) 202
Constructing an Isosceles Triangle (Using the Perpendicular Bisector of a Line Segment) 203
Constructing a Right Triangle (Using Perpendiculars) 206
Constructing a Right Triangle (Using Semicircles) 207
Circumcenter and Circumcircle of a Triangle 209
Incenter and inscribed circle of a triangle 211
Center of gravity of a triangle 214
04 Properties of Squares 216
Rhombus Construction (Using Line Symmetry / Using Circles) 216
Rectangle Construction 220
Trapezoid Construction 221
Construction of an isosceles trapezoid 223
Parallelogram Construction 224
Construction of similar figures 226
05 Properties of Circles 227
Two tangents drawn from a point outside the circle 227
Center of a circle and length of a chord 229
Relationship between central and circumferential angles 232
The size of the angle formed by the tangent and chord of a circle 233
06 Math Exploration Project
01 Exploring the Properties of Polygons 238
Pythagorean Theorem_1 238
Pythagorean Theorem_2 240
Trigonometry 243
[Advanced Exploration] Center of Gravity of a Convex Quadrilateral 245
[Advanced Exploration] The Center of Gravity of a Concave Quadrilateral 252
02 Math Topic Exploration 255
Fermet Point 255
Apollonius' Circle 259
Rolling Circle Trace 263
Cycloid Curve 267
Graph of the Sine Function 271
Graph of the Tangent Function 273
Parametric equation (quadratic curve) 276
03 String Art 279
Slide Shape 279
Square shape 281
Heart Shape 283
07 Graphs of functions and equations
01 Function Command 288
02 Middle School Mathematics 289
Creating a Slider 290
Proportionality 292
Inverse proportion 293
Graph of Linear Function 294
Solutions to Systems of Linear Equations 295
Graph of Quadratic Function 297
03 High School Mathematics 299
Distance between two points 299
Equation of a straight line 300
Equation of a Circle 302
Positional Relationships between Circles and Lines 304
Graph of Rational Functions 307
Graph of an Irrational Function 310
Exponential and Logarithmic Functions 312
Graphs of Trigonometric Equations 317
Graph of the synaptic function 320
Graph of Implicit Function 322
04 Polar Coordinates 325
01 Introducing GeoGebra 14
The Beginning of GeoGebra 14
02 Getting Started with GeoGebra 15
Install Chrome Browser 15
Go to GeoGebra 16
Sign up for GeoGebra 18
Log in to GeoGebra 19
03 GeoGebra's Four Representative Apps 22
Graphing Calculator 22
Geometry 24
GeoGebra Classic 6 26
3D Calculator 32
01 Download / Install GeoGebra Classic 6 38
Download / Install GeoGebra Classic 6 38
02 GeoGebra 6 Geometric Tools Menu 41
Move Tool 42
Point Tool 44
Straight Line Tool 53
Vertical Line Tool 58
Polygon Tool 66
Circle Tool 69
Ellipse Tool 74
Each tool 77
Shape Symmetry / Rotation / Translation Tool 83
Slider Tool 89
Geometry Window Move Tool 98
02 3D graph
01 3D Graph Geometry Tool Menu 102
GeoGebra 6 and 3D Graph Menu Window Tools 102
Vertical Line Tool 103
Circle Tool 104
Cross-section tool 107
Plane Tool 108
Polyhedron Tool 113
Old Tool 120
Symmetry Tool 121
Viewing Tools 123
02 Quadratic curve (conic section) 124
Types of Quadratic Curves 124
Drawing a Cone 126
Drawing an Infinite Cone 128
Drawing a Circle 131
Drawing an Oval 135
Drawing a Parabola 136
Drawing a Hyperbola 137
03 Differentiation and Integration
01 Differential coefficient 140
Differential coefficient 140
02 Derivatives and Their Graphs 142
Derivatives of Polynomial Functions 142
Derivatives of Trigonometric Functions 144
03 Section 146
Section 146
Finding Commands in GeoGebra Classic 6 148
04 Integral 150
The area of the shape enclosed by the graph of the function and the axis is 150
Area of the region enclosed by the graphs of two functions 152
Indefinite integral 154
04 Probability/Statistics
01 Spreadsheet 158
Opening a Spreadsheet & Entering Data 158
02 Data Organization 161
Histogram / Frequency Distribution Polygon 161
Bivariate Regression Analysis 163
03 Probability Calculator (Normal Distribution/Binomial Distribution) 164
Probability Calculator 164
Normal distribution 167
Binomial distribution 170
05 Drawing of shapes
01 Construction of basic shapes 172
Constructing the perpendicular bisector of a line segment 172
Parallel Line Drawing 175
Triangle Construction (SSS) [1] When the lengths of the three sides are known 178
Triangle Construction (SAS) [2] When the lengths of two sides and the size of the included angle are known 182
Triangle Construction (ASA) [3] When the length of one side and the size of the angles at both ends are known 186
02 Utilization of Drawing 191
Drawing of a circle tangent to a straight line 191
Drawing of the original tangent to two sides of the angle 193
Original drawing 196 rolling on a straight line
Original drawing 199 rolling over the circle
03 Properties of Triangles 202
Constructing an Isosceles Triangle (using a Circle) 202
Constructing an Isosceles Triangle (Using the Perpendicular Bisector of a Line Segment) 203
Constructing a Right Triangle (Using Perpendiculars) 206
Constructing a Right Triangle (Using Semicircles) 207
Circumcenter and Circumcircle of a Triangle 209
Incenter and inscribed circle of a triangle 211
Center of gravity of a triangle 214
04 Properties of Squares 216
Rhombus Construction (Using Line Symmetry / Using Circles) 216
Rectangle Construction 220
Trapezoid Construction 221
Construction of an isosceles trapezoid 223
Parallelogram Construction 224
Construction of similar figures 226
05 Properties of Circles 227
Two tangents drawn from a point outside the circle 227
Center of a circle and length of a chord 229
Relationship between central and circumferential angles 232
The size of the angle formed by the tangent and chord of a circle 233
06 Math Exploration Project
01 Exploring the Properties of Polygons 238
Pythagorean Theorem_1 238
Pythagorean Theorem_2 240
Trigonometry 243
[Advanced Exploration] Center of Gravity of a Convex Quadrilateral 245
[Advanced Exploration] The Center of Gravity of a Concave Quadrilateral 252
02 Math Topic Exploration 255
Fermet Point 255
Apollonius' Circle 259
Rolling Circle Trace 263
Cycloid Curve 267
Graph of the Sine Function 271
Graph of the Tangent Function 273
Parametric equation (quadratic curve) 276
03 String Art 279
Slide Shape 279
Square shape 281
Heart Shape 283
07 Graphs of functions and equations
01 Function Command 288
02 Middle School Mathematics 289
Creating a Slider 290
Proportionality 292
Inverse proportion 293
Graph of Linear Function 294
Solutions to Systems of Linear Equations 295
Graph of Quadratic Function 297
03 High School Mathematics 299
Distance between two points 299
Equation of a straight line 300
Equation of a Circle 302
Positional Relationships between Circles and Lines 304
Graph of Rational Functions 307
Graph of an Irrational Function 310
Exponential and Logarithmic Functions 312
Graphs of Trigonometric Equations 317
Graph of the synaptic function 320
Graph of Implicit Function 322
04 Polar Coordinates 325
Publisher's Review
You can watch video lectures on YouTube “Math Ghost”!!
"Learn by Following GeoGebra" covers not only all the shapes and graphs of functions learned in elementary, middle, and high school mathematics, but also differentiation and integration, probability, and statistics.
If you follow the instructions in the text, you will soon become a GeoGebra expert.
Additionally, most of the content explained in the text is available on YouTube as a video.
If you search for “Math Ghost” on YouTube and follow the videos, you will become familiar with GeoGebra very easily.
If you have any questions while watching the video, please feel free to leave a comment.
We will provide detailed answers to your questions or create a video to provide additional explanations and upload it immediately.
"Learn by Following GeoGebra" covers not only all the shapes and graphs of functions learned in elementary, middle, and high school mathematics, but also differentiation and integration, probability, and statistics.
If you follow the instructions in the text, you will soon become a GeoGebra expert.
Additionally, most of the content explained in the text is available on YouTube as a video.
If you search for “Math Ghost” on YouTube and follow the videos, you will become familiar with GeoGebra very easily.
If you have any questions while watching the video, please feel free to leave a comment.
We will provide detailed answers to your questions or create a video to provide additional explanations and upload it immediately.
GOODS SPECIFICS
- Date of issue: September 1, 2021
- Page count, weight, size: 332 pages | 152*225*18mm
- ISBN13: 9791191346114
- ISBN10: 1191346110
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