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The Discovering Algebra, Discovering Geometry, and Discovering Advanced Algebra textbook

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*The Discovering Algebra, Discovering Geometry, and Discovering Advanced Algebra textbook*### Preview

Discovery Approach

The Discovering Algebra, Discovering Geometry, and Discovering Advanced Algebra textbook series covers the topics offered in traditional algebra, geometry, and advanced algebra courses. But the Discovering Mathematics approach may be different from what you experienced when you studied these courses.

In the past, students were asked to spend a lot of time in symbolic manipulation before they were given the opportunity to develop a solid understanding of what they were doing. For example, you may recognize this scenario: After going over homework, your teacher showed a new type of problem and a method for solving it. You worked alone with pencil and paper to practice solving problems of that type. For homework there were more problems of the same type. The next day the class went through it all again with a new type of problem. At some point there was a test with a bunch of problems on it. You had to remember the methods and figure out what method to use for each problem. If you did well on all the tests, you were “good at math.” If you didn’t do well, you may have thought you “just couldn’t do math.”

Many students cannot succeed in such an environment. The teacher and text cannot furnish enough examples to carry over to a new situation or problem. As a result, many students are limited, unable to do more than mechanical manipulations. They don’t know when to apply what problem-solving strategy. Even students who pass are reluctant to continue on in mathematics.

But all students can learn math better. Discovering Mathematics works to have all students reach deep understanding of math through investigating interesting and novel problems in cooperative groups using technology appropriately and practicing skills.

All students: The Discovering Mathematics authors know from their own teaching experience that all students can experience more success in mathematics. When the focus is on understanding concepts and problem-solving strategies instead of just memorizing formulas, all students can be more successful. To say that all students can learn math does not mean the courses have been watered down. In fact, even very successful math students will find they are challenged, learn more, and remember longer with the Discovering Mathematics approach. That’s because the concepts and methods are not isolated from real-world applications, and the mathematics that students study is closer to what is needed by both employment-bound and college-intending students.

Deep understanding: In your own math classes, you may have been told “Just do it; don’t ask why.” But there are logical reasons behind math methods and ideas, and the people who understand these reasons succeed at math. Discovering Mathematics books help more students understand the reasons. Because the concepts make sense to students, they remember the ...

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