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 Character The Principles describe particular features of high-quality mathematics education. -NCTM Principles and Standards

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

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

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

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 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… in the hands of the World’s Greatest Teachers World’s Greatest Technologies

16 a b c In a right triangle, c 2 = a 2 + b 2 Pythagorean Theorem Technologies can build understanding

17 If c 2 = a 2 + b 2 right triangle If c 2 > a 2 + b 2 obtuse triangle acute triangle Converse of the Pythagorean Theorem If c 2 < a 2 + b 2 Remembering

18 a b c If c 2 = a 2 + b 2 right triangle If c 2 > a 2 + b 2 obtuse triangle Converse of the Pythagorean Theorem

19 a b c If c 2 = a 2 + b 2 right triangle If c 2 > a 2 + b 2 obtuse triangle If c 2 < a 2 + b 2 acute triangle Converse of the Pythagorean Theorem

20 a b c If c 2 = a 2 + b 2 right triangle If c 2 > a 2 + b 2 obtuse triangle Converse of the Pythagorean Theorem

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

22 Great technology arcytech.org/java/population

23 Curriculum 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 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… Assessment

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

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