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.
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.
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.
Math literacy is every teacher’s responsibility.
Intel Teach- Essentials Course Version 10
Myth: Mathematically talented students are computation whizzes.
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
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 .