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Jerald Murdock, Ellen Kamischke, Eric Kamischke, "Discovering Algebra: An Investigative Approach"

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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