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46 - Contemporary College Algebra

from Ideas and Projects that Work: Part 2

Don Small
Affiliation:
U.S. Military Academy
Nancy Baxter Hastings
Affiliation:
Dickinson College
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Summary

Contemporary College Algebra is designed to educate students for the future rather than to train them for the past. The course, developed in collaboration with faculty in several disciplines as well as with people in the workplace, provides a strong base for quantitative literacy programs.

The primary goal of the course is to empower students to become exploratory learners, not to master a list of algebraic rules. Some of the means that are used to establish an exploratory environment for the students include:

  • Queries for engaging students in questioning and exploring the material being presented

  • Exercises that explicitly ask students to explore, ask what-if type questions, make up examples, further investigate worked examples, or iterate for the purpose of recognizing a pattern and developing a sense for the behavior of the solution

  • Graphically fitting a curve to a data set

  • Small group work with both in-class activities and out-of-class group projects. In-class activities culminate in student presentations to the class and out-of-class projects culminate in written reports.

Other goals of the course include:

  • Improve communications skills: Students read about, write about, listen to, and present mathematical ideas.

  • Use technology: Every student has daily access to a graphing calculator and/or computer.

  • Model situations: Students are empowered to use mathematics to quantify real-life situations.

  • Build confidence: Students develop personal confidence as problem solvers. Specifically they develop confidence in the iterative process: try something, note the errors, modify previous attempt to lessen the errors, and try again.

  • […]

Type
Chapter
Information
A Fresh Start for Collegiate Mathematics
Rethinking the Courses below Calculus
, pp. 380 - 385
Publisher: Mathematical Association of America
Print publication year: 2006

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