# NCTM concept information and justification

NCTM Process and Content Standards Brochure

NO NEED TO PROVIDE BROCHURE JUST THE INFORMATION IS NEEDED!

You have been asked by your district to present the NCTM process and content standards for a professional development workshop. You want to highlight the importance of NCTM process standards in the 21st-century mathematics classroom. You also must highlight each NCTM content standards and must explain how these standards can be integrated into many subject areas.

Provide information need to create a brochure highlighting the following points:

o Identify the NCTM process standards.

o Reflect on how these standards change mathematics instruction in the 21st-century classroom.

o Identify the NCTM content standards.

o Provide examples of how these standards can be integrated into various subject areas.

o Explain why these standards are important in the mathematics classroom today

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#### Solution Preview

The National Council for Teachers of Mathematics Process standards are from the following Web site, since NCTM charges a fee to access their site: http://staffdev.henrico.k12.va.us/mathsummit/media/math_summit_lesson_analysis.doc

Process Standards from NCTM

1 - Problem Solving:

Instructional programs should enable all students to...

â?¢ Build new mathematical knowledge through open-ended questions and more-extended exploration;

â?¢ Allow students to recognize and choose a variety of appropriate strategies to solve problems;

â?¢ Think & Discuss and Share & Summarize to allow students to reflect on their own and other strategies for solving problems.

2 - Reasoning & Proof:

Instructional programs should enable all students to...

â?¢ Recognize and create conjectures based on patterns they observe;

â?¢ Investigate math conjectures and prove that in all cases they are true or that one counterexample shows that it is not true;

â?¢ Explain and justify their solutions.

3 - Communication:

Instructional programs should enable all students to...

â?¢ Organize and consolidate their mathematical thinking in written and verbal communication;

â?¢ Communicate their mathematical thinking clearly to peers, teachers, and others;

â?¢ Use mathematical vocabulary to express mathematical ideas precisely.

4 - Connections:

Instructional programs should enable all students to...

â?¢ Understand that mathematical ideas are interconnected and that they build and support each other;

â?¢ Recognize and apply connections to other contents;

â?¢ Solve real world problems with mathematical connections.

5 - Representation:

Instructional programs should enable all students to...

â?¢ Emphasize a variety of mathematical representations including written descriptions, diagrams, equations, graphs, pictures, and tables;

â?¢ Select, apply, and translate among mathematical representations to solve problems;

â?¢ Model real-life situations.

To address each component of the process standards, and the requirements of your posting assignment, I will address each section in turn.

1 - Problem Solving:

Instructional programs should enable all students to...

Build new mathematical knowledge through open-ended questions and more-extended exploration;

Think & Discuss and Share & Summarize to allow students to reflect on their own and other strategies for solving problems.

Reflect on how these standards change mathematics instruction in the 21st-century classroom.

Open-ended questions reflect ill-defined, authentic activities that are indicative of what people actually encounter in real-life, actual scenarios. These problems have no one correct answer, encouraging creativity and problem-solving skills to ...

#### Solution Summary

Analyze NCTM standards for Math, and justify inclusion of these standards for 21st century students.