Scale of Cells and Complex Biological Systems
Advanced video lecture that looks the unity of life from a mathematical perspective. In organisms from the tiniest to the largest, lifespans and growth rates, for example, increase with exponents which are typically simple powers of 1/4. Geoffrey West, president of the Sante Fe Institute, shows how these scaling laws can explain essential features of many diverse biological systems. Incredibly complex systems scale in a predictable manner. He then extends these ideas to discuss urban systems: to
Welcome to the Universe - II: Beyond the Sky
Part II: Beyond the Sky Here we look at the origin of astronomy, and the figures involved in the rise and fall of mathematical geocentrism. Professional video. Run time 11:00.
Moving in Circles
The original Platonic ideal, with derivatives of vector functions. According to Plato, stars are heavenly beings that orbit the Earth with uniform perfection -- uniform speed and perfect circles. Even in this imperfect world, uniform circular motion make perfect mathematical sense.
Fractions - Rap Song by Mr. Duey
Mr Duey performs a live action rap song about fractions. The song teaches about improper fractions, and how to get a percentage from a fraction with visuals of the mathematical computations during the rap. Entertaining while learning for kids.
Introduction to Addition with Carrying
This video teaches adding a 2-digit number to a 1-digit number with an introduction to carrying. The narrator of the video walks you through the mathematical computations with the Paint Program.
Lugosi teaches math - polynomial approximations1
In this video, Béla Lugosi teaches the advanced mathematical concepts of a series of functions and polynomial approximations. This discusses and explains the idea of approximating a function by polynomials and questioning/observing the degree of contact. This is an excellent video for advanced math students to explore and learn this complex concept.
Lugosi teaches math - polynomial approximations2
In part 2 of Polynomial Approximations, Béla Lugosi continues teaching the advanced mathematical concept of Polynomial Approximations. In this part he discusses the role of the Ratio Test and Absolute Convergence. He uses this part of the lesson to answer some questions to specifically show how to use polynomial approximations.
Lugosi teaches math - polynomial approximations3
Béla Lugosi teaches continues teaching the advanced mathematical concept of polynomial approximations in this video. He uses an extended diagram to show the approximations in a slightly different way. He goes on to show you Taylor's Theorem with Remainder as another method. Lugosi's evident passion for mathematics makes this a fascinating video to watch for any lover of advanced mathematics.
Lugosi teaches math - uniform convergance
In this video course, Béla Lugosi teaches advanced mathematical concepts. In this part he teaches the concept of uniform convergence in general, which is a difficult and subtle topic. He gives the highlights of what makes up uniform convergence and convergence. A great intro to the concept of convergence for advanced mathematics.
Lugosi teaches math - uniform convergance3
In part 3 of Uniform Convergence, Béla Lugosi teaches advanced mathematical concepts related to uniform convergence. In this video, he shares how to chart, diagram, and graph uniform convergences and functions.
Estimation of Length
This clip explains various units of measure. It shows how to use measure of length to compare things and how answer questions. Part 1 of this video shows how to get accurate measure using ruler, tape measure and yard stick, part two shows estimation of length, part 3 explains mathematical benchmarks,and estimation activities are at the end of the video.
Factoring of a square root in the denominator
This video shows how to factor a square root when a square root is in the denominator of a mathematical expression. This allows the student to factor out the answer in this scenario.
Many times in mathematics and in geometry in particular,
visualization of the concepts that are being taught is difficult for
students. This problem can be avoided with the use of a tool such as
Geometers Sketchpad. One of the best attributes of this program is that it is not a drill and practice program, but instead it requires the
students further develop their understanding of mathematical concepts. This lesson was designed to help make the concepts of translations, ro
Fractals in the Body
Fractal patterns turn up everywhere in biology, from the irregular rhythm of the heart to basic eye function. The fractal nature of such physiological processes, which obey simple mathematical rules, offers hope of better diagnosis and treatment of problems as well as new insights into how such processes work. Running time 10:15
Following Children's Ideas in Mathematics
An unprecedented long-term study conducted by Rutgers University
followed the development of mathematical thinking in a randomly
selected group of students for 12 years - from 1st grade through high
school - with surprising results. In an overview of the study, we look
at some of the conditions that made their math achievement possible.
Using the day of the month, first- and second-graders investigate the
concepts of addition and subtraction as they share story problems that relate to the date.
Teams use everyday language and experiences to connect to the
mathematical language and symbolism for operations. NCTM standards: concepts of whole number operations, whole number computation, communication, connections.
First- and second-graders investigate number relationships and explore the concept of addition in a part-whole model using dominoes. They develop mathematical communication as they represent mathematical ideas with physical materials, words, diagrams, and symbols. NCTM standards: concepts of whole number operations, whole number computation, problem solving, communication.
The Law of Falling Bodies
With the conventional wisdom of the Aristotelian world view, almost everyone could see that heavy bodies fell faster than lighter ones. Then along cam Galileo. His genius deduced that the distance a body has fallen at any instant is proportional to the square of the time spent falling. From that, speed and acceleration follow with the help of a mathematical tool called a derivative.
Sound Waves and Mathematics
Uses a graphing calculator to explain sound (sinusoidal) waves through advanced mathematical formulas. Color and sound, but mostly shows views of graphing calculator and equations. Grades 10-12. 9:17 min.
Lost Civilization - Maya - 1 of 6
Narrated by Sam Waterston, this documentary focuses on the history of Mayan civilization. 'The Maya is a Mesoamerican civilization, noted for the only known fully developed written language of the pre-Columbian Americas, as well as its art, architecture, and mathematical and astronomical systems.' (Maya Civilization, Wikipedia, 2009). This documentary is suitable for older middle and high school students.