1. NCTM Principles: The “Character” of School Mathematics
Cynthia Lanius
Technology Integration Specialist
Sinton ISD
June 2003

2. a comprehensive and fundamental law, doctrine, or assumption
Example: The Uncertainty Principle

3. “The principles are statements reflecting basic precepts that are fundamental to a high-quality mathematics education.”
-NCTM Principles and Standards

4. Content and Character
Decisions made by teachers, school administrators, and other education professionals about the content and character of school mathematics have important consequences both for students and for society.
-NCTM Principles and Standards

5. Content and Character
The Standards describe the mathematical content and processes that students should learn.
Content and Processes
The Principles describe particular features of high-quality mathematics education.
Character
-NCTM Principles and Standards

6. main or essential nature especially as strongly marked and serving to distinguish

7. Equity Curriculum Teaching Learning Assessment Technology Character
Distinguish
High Quality
Mathematics

8. Learning
Students must learn mathematics with understanding, actively building new knowledge from experience and prior knowledge.
Understanding
Remembering

9. Equity
Excellence in mathematics education requires equity—high expectations and strong support for all students.

10. What Does “All Students” Mean?
It does NOT mean that all students are the same. Students have different abilities, needs, and interests. Yet all students deserve an opportunity to understand the power and beauty of mathematics, and they need to be able to use mathematics in their personal lives, in the workplace, and in further study.
-NCTM Principles and Standards

11. TX ACC. promotes the Equity Principle
At-risk students could no longer be ignored
No ethnic group could be ignored

12. -NCTM Principles and Standards
Teaching
Effective mathematics teaching requires understanding what students know and need to learn and then challenging and supporting them to learn it well.
-NCTM Principles and Standards

13. Technology
is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students' learning.
-NCTM Principles and Standards

14. Technology vs. Teaching
Would you choose the world’s greatest technology or the world’s greatest teacher for a child you love?

15. What we really want… World’s Greatest Technologies in the hands of the
                                             
in the hands of the
World’s Greatest Teachers

16. Technologies can build understanding
In a right triangle, c2 = a2 + b2
Pythagorean Theorem c a b

17. Converse of the Pythagorean Theorem
If c2 = a2 + b right triangle
If c2 > a2 + b obtuse triangle
If c2 < a2 + b2
acute triangle
Remembering

18. Converse of the Pythagorean Theorem
If c2 = a2 + b right triangle
If c2 > a2 + b2
obtuse triangle c a b

19. Converse of the Pythagorean Theorem
If c2 = a2 + b right triangle
If c2 > a2 + b obtuse triangle
If c2 < a2 + b2
acute triangle c a b

20. Converse of the Pythagorean Theorem
If c2 = a2 + b right triangle
If c2 > a2 + b2
obtuse triangle c a b

21. And if c gets even bigger…
If c > a + b
no triangle c a b

22. Great technology
                                             
arcytech.org/java/population

23. A curriculum is more than a collection of activities: it must be
coherent,
focused on important mathematics, and
well articulated across the grades.
-NCTM Principles and Standards

24. Assessment
should support the learning of important mathematics and furnish useful information to both teachers and students.
-NCTM Principles and Standards

25. Assessment TAKS –Higher Expectations – a good thing.
It will be tough on all of us to rise to the challenge.
But we SHOULD and we CAN…

26. In closing… And that’s all about Character Equity Curriculum Teaching
Learning
Assessment
Technology
Learning
Learning is our motive for all that we do.
Everything we do is designed to
support that.
And that’s all about Character