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Discovering Algebra: An Investigative Approach
Discovering Algebra: An Investigative Approach
Date: 27 April 2011, 07:25

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From the authors:
Y ou are about to embark on an exciting mathematical journey. The goal of your
trip is to reach the point at which you have gathered the skills, tools, confidence,
and mathematical power to participate fully as a productive citizen in a changing
world. Your life will always be full of important decision-making situations, and
your ability to use mathematics and algebra can help you make informed decisions.
You need skills that can evolve and adapt to new situations. You need to be able to
interpret and make decisions based on numerical information, and to find ways to
solve problems that arise in real life, not just in textbooks. On this journey you will
make connections between algebra and the world around you.
Ellen Kamischke
You’re going to discover and learn much useful algebra along the way. Learning
algebra is more than learning facts and theories and memorizing procedures. We
hope you also discover the pleasure involved in mathematics and in learning “how
to do mathematics.” Success in algebra is a gateway to many varied career
opportunities.
With your teacher as a guide, you will learn algebra by doing mathematics. You
will make sense of important algebraic concepts, learn essential algebraic skills,
and discover how to use algebra. This requires a far bigger commitment than just
“waiting for the teacher to show you” or studying “worked-out examples.”
Eric Kamischke
During this journey, successful learning will come from your personal involvement,
which will often come about when you work with others in small groups. Talk
about algebra, share ideas, and learn from and with the members of your group.
Work and communicate with others to strengthen your understanding of the
mathematical concepts presented in this book. To gain respect in your role as a
team player, respect differences among group members, listen carefully when others
are sharing their ideas, stay focused during the process, be responsible and
respectful, and share your own ideas and suggestions...

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