This applied mathematics textbook covers Matrices and Pathways, Statistics and Probability, Finance, Cyclic, Recursive and Fractal Patterns, Vectors, and Design. The approach used is primarily data driven, using numerical and geometrical problem-solving techniques.
The purpose of this task is to use finite geometric series to investigate an amazing mathematical object that might inspire students' curiosity. The Cantor Set is an example of a fractal.
" Explore the future through modeling, reading, and discussion in an open-ended seminar! Our fields of interest will include changes in science and technology, culture and lifestyles, and dominant paradigms and societies."
This learning video introduces students to the world of Fractal Geometry through the use of difference equations. As a prerequisite to this lesson, students would need two years of high school algebra (comfort with single variable equations) and motivation to learn basic complex arithmetic. Ms. Zager has included a complete introductory tutorial on complex arithmetic with homework assignments downloadable here. Also downloadable are some supplemental challenge problems. Time required to complete the core lesson is approximately one hour, and materials needed include a blackboard/whiteboard as well as space for students to work in small groups. During the in-class portions of this interactive lesson, students will brainstorm on the outcome of the chaos game and practice calculating trajectories of different equations.
This learning video introduces students to the world of Fractal Geometry through the use of difference equations. As a prerequisite to this lesson, students would need two years of high school algebra (comfort with single variable equations) and motivation to learn basic complex arithmetic. Ms. Zager has included a complete introductory tutorial on complex arithmetic with homework assignments downloadable here. Also downloadable are some supplemental challenge problems. Time required to complete the core lesson is approximately one hour, and materials needed include a blackboard/whiteboard as well as space for students to work in small groups. During the in-class portions of this interactive lesson, students will brainstorm on the outcome of the chaos game and practice calculating trajectories of different equations.
This lesson will introduce students to patterns in fractals using resources of Shodor Education Foundation, Inc. Permission has been granted for the use of the materials as part of the workshop Interactivate Your Bored Math Students.
This lesson was created by School Library Media Specialist, Pam Harland, and Math teachers Rebecca Hanna and Carissa Maskwa to model text-based inquiry in STEM. Over the course of the unit, students will explore a variety of texts and grow in their knowledge of fractals, city design, and ability to use informational text to support their inquiry and research.The unit was created in year two of the School Librarians Advancing STEM Learning (SLASL) project, led by the Institute for the Study of Knowledge Management (ISKME) in partnership with Granite State University, New Hampshire, and funded by the Institute for Museum and Library Services (IMLS).
This lesson was created by School Library Media Specialist, Pam Harland, and Math teachers Rebecca Hanna and Carissa Maskwa to model text-based inquiry in STEM. Over the course of the unit, students will explore a variety of texts and grow in their knowledge of fractals, city design, and ability to use informational text to support their inquiry and research.The unit was created in year two of the School Librarians Advancing STEM Learning (SLASL) project, led by the Institute for the Study of Knowledge Management (ISKME) in partnership with Granite State University, New Hampshire, and funded by the Institute for Museum and Library Services (IMLS).
A course consisting of mathematical topics chosen to provide an overview of a broad range
of higher mathematics to aid students in interpreting an understanding current issues and
to increase students’ ability to reason and think critically. Topics may include but are not
limited to reasoning and problem solving, sets, logic, social choice, numeration systems,
growth and symmetry, and fractals.
This course provides an introduction to the study of environmental phenomena that exhibit both organized structure and wide variability - i.e., complexity. Through focused study of a variety of physical, biological, and chemical problems in conjunction with theoretical models, we learn a series of lessons with wide applicability to understanding the structure and organization of the natural world. Students will also learn how to construct minimal mathematical, physical, and computational models that provide informative answers to precise questions.
This is a resource for video clips and links for technology and engineering as well as links for making fractals