school mathematics in a changing world chapter 1 tina rye sloan to accompany helping children learn...

School Mathematics in a Changing World

CHAPTER 1

Tina Rye SloanTo accompany Helping Children Learn Math9e, Reys et al.

©2009 John Wiley & Sons

1. What is mathematics?2. What determines the mathematics

currently taught?3. What is the role of the NCTM’s six

principles in school mathematics?4. What resources are available to help you

continue developing your knowledge of mathematics and the learning and teaching of mathematics?

Reys/ Lindquist/ Lamdin/ Smith, Helping Children Learn Math,9th Edition, © 2009

Focus Questions

What is Mathematics?

•a study of patterns and relationships •a way of thinking•an art•a language•a tool


NCTM (2000) Content Standards

Figure 1-1 shows how the National Council of Teachers of Mathematics (NCTM) envisions the distribution of mathematics content from pre-kindergarten through Grade 12. Reys/ Lindquist/ Lamdin/ Smith, Helping Children Learn Math,

9th Edition, © 2009

Source: Principles and Standards for School Mathematics, p. 30, copyright 2000 by the National Council of Teachers of Mathematics. All Rights Reserved.

What Determines the Mathematics Being Taught?


NCTM Principles for School Mathematics

1. Equity Principle 2. Curriculum Principle 3. Teaching Principle4. Learning Principle5. Assessment Principle6. Technology Principle

Principles and Standards for School MathematicsNational Council of Teachers of Mathematics, 2000


Equity Principle

Excellence in mathematics education requires equity– high expectations and strong support for all students.


Curriculum Principle

A curriculum is more than a collection of activities; it must be coherent, focused on important mathematics, and well articulated across the grades.


Teaching Principle

Effective mathematics teaching requires understanding what students know and need to learn and then challenging and supporting them to learn it well.


Learning Principle

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


Assessment Principle

Assessment should support the learning of important mathematics and furnish useful information to both teachers and students.


Technology Principle

Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students’ learning.


Major Trends in Mathematics Education by Decades

Decade Event Reaction/Trend

1960s Sputnik New Math Space Race

1970s Poor Basic Back-to-Basics Skills

1980s Poor Problem Solving Problem Solving


Major Trends in Mathematics Education (cont.)

Decade_ Event Reaction/Trend

1990s Poor Standards and Achievement

Assessment

2000s Achievement Accountability for Gaps, NCLB All

Where do we go from here?Reys/ Lindquist/ Lamdin/ Smith, Helping Children Learn Math,

9th Edition, © 2009

Where Can You Turn? Resources for Teachers

•National Guidelines for School Mathematics

•State and Local Guidelines

•Research

•Cultural and International Resources

•History


Where Can You Turn? Resources for Teachers (cont.)

•Textbooks and Other Materials

•Electronic Materials

•Professional Organizations

•Professional Development

•Other Teachers


What is Your Role Now?

•Examine your own disposition toward mathematics and your beliefs about who can learn mathematics.

•Remember that teaching means helping students learn, not merely disseminating information.

•Realize that doing mathematics and teaching mathematics are different.


References

•National Council of Teachers of Mathematics (2000). Principles and Standards for School Mathematics, Reston: Virginia


school mathematics in a changing world chapter 1 tina rye sloan to accompany helping children learn...

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