The most important message of the NCTM Principles and Standards :
Students must be fluent in arithmetic computation -- they must have efficient and accurate methods, and understand them. Students should know their basic addition, subtraction, multiplication and division combinations.
Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances student learning. It needs to be used wisely, by well-informed teachers, to support understanding.
Teachers need to know and use "mathematics for teaching" …
April 2006 http://www.nctm.org/standards/pressrelease.htm
5.
Essential Questions
Do they like math?
Can they do math?
Do they want to do math?
Teachers need to enjoy using and teaching math. Julia Lott
6.
Applets Applet - a very small application, esp. a utility program performing one or a few simple functions. ORIGIN 1990s: blend of application and -let .
The Center for Innovation in Engineering and Science Education (CIECE)
Stowaway Adventure
Gulf Stream Voyage
Air pollution
Navigational Vectors
Musical Plates
http://www.k12science. org/currichome .html
50.
Stock Market Portfolios
Google Docs and Spreadsheets
51.
The Stock Market Game http://www. stockmarketgame .org/
52.
Space
AIMS
NASA
NOAA
53.
54.
55.
Tessellations and Art
Escher
56.
Unitedstreaming
57.
Visual Manipulatives
Utah State
K-12
Easy
58.
Weather
Air Pollution
Weather Scope
Wonderful World of Weather
Other Real-time Units
59.
Wiki’s
Pbwiki
Wikispaces
60.
61.
62.
X and Y Axis
Cartography
Graphing
63.
Chandra X-Ray Observatory
64.
Gen Yes
GenYES student and their partner-teacher
Technology skills
Planning and collaboration,
Authentic long-term projects.
Project-based learning experience
65.
Zeno’s Paradox
The great Greek philosopher Zeno of Elea (born sometime between 495 and 480 B.C.) proposed four paradoxes in an effort to challenge the accepted notions of space and time that he encountered in various philosophical circles. His paradoxes confounded mathematicians for centuries, and it wasn't until Cantor's development (in the 1860's and 1870's) of the theory of infinite sets that the paradoxes could be fully resolved.
66.
Zero- Dividing by
Division by zero is an operation for which you cannot find an answer, so it is disallowed. You can understand why if you think about how division and multiplication are related.
12 divided by 6 is 2 because 6 times 2 is 12
12 divided by 0 is x would mean that 0 times x = 12
But no value would work for x because 0 times any number is 0. So division by zero doesn't work.
- Doctor Robert
67.
Zeta Function
The Riemann zeta function is an extremely important special function of mathematics and physics that arises in definite integration and is intimately related with very deep results surrounding the prime number theorem.
68.
Math literacy is every teacher’s responsibility.
Intel Teach- Essentials Course Version 10
69.
Myth: Mathematically talented students are computation whizzes.
70.
Fact:
Research has shown that many mathematically talented students can have an excellent understanding of advanced mathematical concepts while simultaneously having relatively less developed computation skills
Julia has an excellent understanding of how to multiply fractions, but she often makes mistakes when adding a column of figures.
72.
In this situation…
teachers are often tempted to hold students back from learning advanced concepts until their b asic skills catch up. This is unfair to the student and may actually be detrimental to his or her mathematical development.
Developing Mathematical Talent: A Guide for Challenging and Educating Gifted Students .