Teaching and Learning Mathematics Using Algiomass: Middle School Functions and Geometry
 |
Description
Book Introduction
AlgeoMath is an educational software that combines the functions of dynamic geometry software and block coding.
By utilizing these Algiomass features, students can explore various topics presented in middle and high school mathematics or create original compositions.
Additionally, utilizing Algiomas' block coding function can also develop students' computational thinking skills.
This book focuses on applying Algebra to school education.
As a result, this book contains the theoretical background on the application of technology teaching and learning, as well as the basics of algebra, algebra and function teaching and learning, algebra and geometry teaching and learning, algebra and block coding, and algebra and metaverse.
I hope that in the future, various teaching and learning materials on Algebra will be developed to help mathematics education in Korea.
By utilizing these Algiomass features, students can explore various topics presented in middle and high school mathematics or create original compositions.
Additionally, utilizing Algiomas' block coding function can also develop students' computational thinking skills.
This book focuses on applying Algebra to school education.
As a result, this book contains the theoretical background on the application of technology teaching and learning, as well as the basics of algebra, algebra and function teaching and learning, algebra and geometry teaching and learning, algebra and block coding, and algebra and metaverse.
I hope that in the future, various teaching and learning materials on Algebra will be developed to help mathematics education in Korea.
index
Chapter 1 Introduction 1
Chapter 2 Theoretical Background 3
2.1 TPACK(Technological Pedagogical and Content Knowledge) .
. 3
2.1.1 TPACK Framework.
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3
2.1.2 Direction of TPACK competency development.
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. 4
2.2 Tool theory and modeling.
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. 6
Chapter 3: The Basics of Algebra 9
3.1 How to use Algiomas.
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. 9
3.2 Algebra window.
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12
3.3 Block coding environment.
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14
3.3.1 Hello Algio! .
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15
3.3.2 Turtle geometry block coding.
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. 16
3.3.3 “Simple” repeat blocks.
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. 18
3.3.4 Turtle's Travel Rules.
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. 19
Chapter 4: Teaching and Learning Algebra and Functions 21
4.1 Dot plotting activity according to function values.
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21
4.1.1 Slider .
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21
4.1.2 Pointing using the slider.
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. 23
4.1.3 Dot marking using block coding.
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. 25
4.2 Observation activity of changes in function graphs.
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. 26
4.2.1 Observe the linear function graph when changing the coefficients with the slider.
. 26
4.2.2 Observation of changes in the slope of a straight line using block coding.
. .
. .
. .
. 27
4.2.3 Observation of parallel movement of a straight line using block coding.
. .
. .
. .
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. 28
4.3 Slope measurement.
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. 29
4.4 Activity: Drawing a Heart with a Function Graph.
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32
4.5 Graph Decoration.
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. 33
4.5.1 Linear function graph.
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33
4.5.2 Discontinuous functions.
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. 38
Chapter 5: Algebra and Geometry Teaching and Learning 41
5.1 Construction of congruent triangles.
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. 42
5.2 Constructing the circumcenter and circumcircle of a triangle.
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. 46
5.3 Incenter and inscribed circle of a triangle.
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49
5.4 Using the exterior angles of polygons.
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. 52
5.4.1 Activity of constructing a regular thirty-hexagon.
. .
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. .
. .
. .
. .
. .
. 52
5.4.2 Activity defining a function to draw a regular n-gon.
. .
. .
. .
. .
. .
. 54
5.5 Development of teaching and learning materials for sum of exterior angles of polygons.
. .
. .
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56
5.5.1 Each use.
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. 57
5.5.2 Utilizing internal division points.
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. .
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. 59
5.5.3 Vectors and Translations.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
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64
5.5.4 Changes in the positions of points A, B, and C.
. .
. .
. .
. .
. .
. .
. .
. .
. .
65
5.5.5 Decoration and Finishing.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 65
5.6 Activity to observe three-dimensional figures and their development.
. .
. .
. .
. .
. .
. .
. .
. .
. 66
5.6.1 Defining a solid figure.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 66
5.6.2 Translation, rotation, and magnification of three-dimensional figures.
. .
. .
. .
. .
. .
. .
. 68
5.6.3 Folding the regular polyhedron development diagram.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 69
5.6.4 Fold after drawing the development diagram.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 71
5.6.5 Geometrical diagrams for presentation.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 72
Chapter 6: Teaching and Learning Using Algomas and the Metaverse 79
6.1 Using stacking blocks and connecting cubes.
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. 79
6.1.1 Stacking Trees.
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79
6.1.2 Connecting Cube.
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. .
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. .
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81
6.1.3 Viewing in one direction.
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. .
. .
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84
6.1.4 First-person mode and flight mode.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 85
6.2 Activity of configuring a connection cube using block coding.
. .
. .
. .
. .
. .
. .
. .
86
6.2.1 Controlling connection cubes in block coding.
. .
. .
. .
. .
. .
. .
. .
. .
86
6.2.2 Construct a pyramid with connecting cubes.
. .
. .
. .
. .
. .
. .
. .
. .
88
6.2.3 Construct the Parthenon with connecting cubes.
. .
. .
. .
. .
. .
. .
. 91
6.3 Cosspace Edu.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 94
6.3.1 Introduction to Cosspace Edu.
. .
. .
. .
. .
. .
. .
. .
. .
. .
94
6.3.2 Activate Pro Trial.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 95
6.3.3 Basic Functions .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
97
6.3.4 Inserting Algio 3D works into Cospace Edu.
. .
. .
100
6.3.5 Appreciating the Cosspace works.
. .
. .
. .
. .
. .
. .
. .
. .
102
Chapter 7 Conclusion 105
Chapter 2 Theoretical Background 3
2.1 TPACK(Technological Pedagogical and Content Knowledge) .
. 3
2.1.1 TPACK Framework.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
3
2.1.2 Direction of TPACK competency development.
. .
. .
. .
. .
. .
. .
. .
. .
. 4
2.2 Tool theory and modeling.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 6
Chapter 3: The Basics of Algebra 9
3.1 How to use Algiomas.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 9
3.2 Algebra window.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
12
3.3 Block coding environment.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
14
3.3.1 Hello Algio! .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
15
3.3.2 Turtle geometry block coding.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 16
3.3.3 “Simple” repeat blocks.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 18
3.3.4 Turtle's Travel Rules.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 19
Chapter 4: Teaching and Learning Algebra and Functions 21
4.1 Dot plotting activity according to function values.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
21
4.1.1 Slider .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
21
4.1.2 Pointing using the slider.
. .
. .
. .
. .
. .
. .
. .
. .
. 23
4.1.3 Dot marking using block coding.
. .
. .
. .
. .
. .
. .
. .
. .
. 25
4.2 Observation activity of changes in function graphs.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 26
4.2.1 Observe the linear function graph when changing the coefficients with the slider.
. 26
4.2.2 Observation of changes in the slope of a straight line using block coding.
. .
. .
. .
. 27
4.2.3 Observation of parallel movement of a straight line using block coding.
. .
. .
. .
. .
. 28
4.3 Slope measurement.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 29
4.4 Activity: Drawing a Heart with a Function Graph.
. .
. .
. .
. .
. .
. .
. .
. .
. .
32
4.5 Graph Decoration.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 33
4.5.1 Linear function graph.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
33
4.5.2 Discontinuous functions.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 38
Chapter 5: Algebra and Geometry Teaching and Learning 41
5.1 Construction of congruent triangles.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 42
5.2 Constructing the circumcenter and circumcircle of a triangle.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 46
5.3 Incenter and inscribed circle of a triangle.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
49
5.4 Using the exterior angles of polygons.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 52
5.4.1 Activity of constructing a regular thirty-hexagon.
. .
. .
. .
. .
. .
. .
. .
. 52
5.4.2 Activity defining a function to draw a regular n-gon.
. .
. .
. .
. .
. .
. 54
5.5 Development of teaching and learning materials for sum of exterior angles of polygons.
. .
. .
. .
. .
. .
. .
. .
56
5.5.1 Each use.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 57
5.5.2 Utilizing internal division points.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 59
5.5.3 Vectors and Translations.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
64
5.5.4 Changes in the positions of points A, B, and C.
. .
. .
. .
. .
. .
. .
. .
. .
. .
65
5.5.5 Decoration and Finishing.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 65
5.6 Activity to observe three-dimensional figures and their development.
. .
. .
. .
. .
. .
. .
. .
. .
. 66
5.6.1 Defining a solid figure.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 66
5.6.2 Translation, rotation, and magnification of three-dimensional figures.
. .
. .
. .
. .
. .
. .
. 68
5.6.3 Folding the regular polyhedron development diagram.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 69
5.6.4 Fold after drawing the development diagram.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 71
5.6.5 Geometrical diagrams for presentation.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 72
Chapter 6: Teaching and Learning Using Algomas and the Metaverse 79
6.1 Using stacking blocks and connecting cubes.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 79
6.1.1 Stacking Trees.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
79
6.1.2 Connecting Cube.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
81
6.1.3 Viewing in one direction.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
84
6.1.4 First-person mode and flight mode.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 85
6.2 Activity of configuring a connection cube using block coding.
. .
. .
. .
. .
. .
. .
. .
86
6.2.1 Controlling connection cubes in block coding.
. .
. .
. .
. .
. .
. .
. .
. .
86
6.2.2 Construct a pyramid with connecting cubes.
. .
. .
. .
. .
. .
. .
. .
. .
88
6.2.3 Construct the Parthenon with connecting cubes.
. .
. .
. .
. .
. .
. .
. 91
6.3 Cosspace Edu.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 94
6.3.1 Introduction to Cosspace Edu.
. .
. .
. .
. .
. .
. .
. .
. .
. .
94
6.3.2 Activate Pro Trial.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 95
6.3.3 Basic Functions .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
97
6.3.4 Inserting Algio 3D works into Cospace Edu.
. .
. .
100
6.3.5 Appreciating the Cosspace works.
. .
. .
. .
. .
. .
. .
. .
. .
102
Chapter 7 Conclusion 105
GOODS SPECIFICS
- Date of issue: January 1, 2024
- Page count, weight, size: 110 pages | 188*257*20mm
- ISBN13: 9791191346763
- ISBN10: 1191346765
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