Features To the Teacher sections: Draw connections from the number theory or abstract algebra under consideration to secondary mathematics Help students make appropriate connections between the advanced mathematics they are learning and the secondary mathematics they may be teaching, In the Classroom sections addressing classroom concerns in each chapter Optional for the non-teacher. From the Past sections in each chapter Provide historical context; students experience historical thinking and technique. Worksheets that outlines the framework of a topic in most chapters: Asks students to provide the details and exposition. Worksheets are suitable for group work and for development as student presentations in a capstone experience. Examples in the text drawn from linear algebra Can be omitted for students without that background.

1. Topics in Number Theory 2. Modular Arithmetic and Systems of Numbers 3. Polynomials 4. A First Look at Group Theory 5. New Structures from Old 6. Looking Forward and Back

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