Symmetry in Motion
"Guided only by their feeling for symmetry, simplicity, and generality, and an indefinable sense of the fitness of things, creative mathematicians now, as in the past, are inspired by the art of mathematics rather than by any prospect of ultimate usefulness."
E. T. Bell
In the final project of the year, students will be using three inter-related geometry topics (congruence, rigid motion and symmetry) and computer science (programming) to create a unique and beautiful creation of a kaleidoscope on StarLogo TNG (program with pre-programmed blocks that can be edited together to create agents do different tasks). With StarLogo, students were to program a final product consisting of reflections on the axis.
Artistic Linear Relationships
The Art of Construction
There will always be a time in which an individual will need the ability to create accurate drawings. These tasks, or sometimes challenges, could easily be tackled through our technology that we seem to improve every day. So why start at the bottom with the simplest tools, a compass and straight edge? Simple, it all starts with the term axiom which is everyone's agreement that a certain concept must be true. We can agree that these two tools have been believed to create accurate and precise drawings and designs ever since the ancient Greeks. Students were to use these tools to create a beautiful product to show their full understanding of a compass and straight edge.
Mathematical Model of Me
Each and every single individual has an aspect that is not common to the population. One person may stand out more than another. Some may have the same likes or dislikes. But no one is exactly the same. "Tell me something about you." At this, most reply with a simple interest. With this project, we show that interest in an uncommon way, through a mathematical model-a physical representation using mathematical concepts. (Physical mathematical models include reproductions of plane and solid geometric figures made of cardboard, wood, plastic, or other substances.)
In this project, students used a graphic/spreadsheet application called GeoGebra. They had to select an image representing their self and graph it onto the application. The end results were a beautiful model to display in the classroom.
"Guided only by their feeling for symmetry, simplicity, and generality, and an indefinable sense of the fitness of things, creative mathematicians now, as in the past, are inspired by the art of mathematics rather than by any prospect of ultimate usefulness."
E. T. Bell
In the final project of the year, students will be using three inter-related geometry topics (congruence, rigid motion and symmetry) and computer science (programming) to create a unique and beautiful creation of a kaleidoscope on StarLogo TNG (program with pre-programmed blocks that can be edited together to create agents do different tasks). With StarLogo, students were to program a final product consisting of reflections on the axis.
Artistic Linear Relationships
The Art of Construction
There will always be a time in which an individual will need the ability to create accurate drawings. These tasks, or sometimes challenges, could easily be tackled through our technology that we seem to improve every day. So why start at the bottom with the simplest tools, a compass and straight edge? Simple, it all starts with the term axiom which is everyone's agreement that a certain concept must be true. We can agree that these two tools have been believed to create accurate and precise drawings and designs ever since the ancient Greeks. Students were to use these tools to create a beautiful product to show their full understanding of a compass and straight edge.
Mathematical Model of Me
Each and every single individual has an aspect that is not common to the population. One person may stand out more than another. Some may have the same likes or dislikes. But no one is exactly the same. "Tell me something about you." At this, most reply with a simple interest. With this project, we show that interest in an uncommon way, through a mathematical model-a physical representation using mathematical concepts. (Physical mathematical models include reproductions of plane and solid geometric figures made of cardboard, wood, plastic, or other substances.)
In this project, students used a graphic/spreadsheet application called GeoGebra. They had to select an image representing their self and graph it onto the application. The end results were a beautiful model to display in the classroom.