Supplemental Mathematics for the Curious

Supplemental Mathematics for the Curious Series Cover

These books are written for children with exceptional abilities, especially those who are self-motivated to learn. The emphasis is not on covering new material or learning additional facts. While some material will be new to children, much will be familiar. Instead, the emphasis is on the role of definitions, proofs, and developing mathematical ideas. In other words, the focus is conceptual development. It is therefore important for children to pay attention to the narrative and to spend sufficient mental energy to understand it. Children who simply skim the narrative and read the examples in order to work the exercises will miss the point of the books!

Dr. Bryan Dawson is a professor of mathematics at Union University, Jackson, TN. Read more about Professor Dawson here.

These books are written for students with exceptional abilities, especially those who are self-motivated to learn. The emphasis is not on covering new material or learning additional facts. While some material will be new to the students, much will be familiar. Instead, the emphasis is on the role of definitions, proofs, and developing mathematical ideas. In other words, the focus is conceptual development. It is therefore important for students to pay attention to the narrative and to spend sufficient mental energy to understand it. Students who simply skim the narrative and read the examples in order to work the exercises will miss the point of the books!

Dr. Bryan Dawson is a professor of mathematics at Union University, Jackson, TN. Read more about Professor Dawson here.

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Supplemental Mathematics for the Curious: Number Theory

Author: Dawson, Bryan, Ph.D.

Subjects: Mathematics; Number Theory

Age: 12, 13, 14, 15, 16, 17, 18

Grade: 7, 8, 9, 10, 11, 12

Order code: 4311

Price: $25.00
Website price: $15.00

Supplemental Mathematics for the Curious: Number Theory Cover

Designed for self-learners who have completed Algebra I, this supplemental high school text is ideal for independent study. Careful exposition of the topics and well-developed examples with ample comments guide children's thinking, while answers to odd-numbered exercises provide feedback on the children's progress.

The topics chosen form an introduction to the rich field of number theory. Among others, they include divisibility, the Euclidean algorithm, prime numbers, figurate numbers, recursively defined numbers such as Fibonacci and Lucas numbers, modular arithmetic, the Chinese Remainder Theorem, and an appendix on sets.

The book applies number theory to calendar systems, UPC and ISBN codes, and more. Side notes are provided to spark further interest or exploration on such topics as digital signals, the history of mathematical symbols, and numerology.

Throughout the text, children are guided to think carefully about mathematics itself, including learning the roles of definitions and proofs. Such study can be an invaluable aid in maximizing a child's understanding of high school geometry.

Sample pages: page 2 | page 21 | page 31| page 62

Designed for self-learners who have completed Algebra I, this supplemental high school text is ideal for independent study. Careful exposition of the topics and well-developed examples with ample comments guide students' thinking, while answers to odd-numbered exercises provide feedback on the students' progress.

The topics chosen form an introduction to the rich field of number theory. Among others, they include divisibility, the Euclidean algorithm, prime numbers, figurate numbers, recursively defined numbers such as Fibonacci and Lucas numbers, modular arithmetic, the Chinese Remainder Theorem, and an appendix on sets.

The book applies number theory to calendar systems, UPC and ISBN codes, and more. Side notes are provided to spark further interest or exploration on such topics as digital signals, the history of mathematical symbols, and numerology.

Throughout the text, students are guided to think carefully about mathematics itself, including learning the roles of definitions and proofs. Such study can be an invaluable aid in maximizing students' understanding of high school geometry.

Sample pages: page 2 | page 21 | page 31page 62

Supplemental Mathematics for the Curious: Number Theory Cover

Supplemental Mathematics for the Curious: Number Systems

Author: Dawson, Bryan, Ph.D.

Subjects: Mathematics; Number Systems

Age: 12, 13, 14, 15, 16, 17, 18

Grade: 7, 8, 9, 10, 11, 12

Order code: 4328

Price: $25.00
Website price: $15.00

Supplemental Mathematics for the Curious: Number Systems Cover

Designed for self-learners who have completed the traditional high school mathematics curriculum through trigonometry, this supplemental text is ideal for independent study. Careful exposition of the topics and well-developed examples with ample comments guide children's thinking, while answers to odd-numbered exercises provide feedback on the children's progress.

Beginning with new ways to think about such familiar number systems as natural and rational numbers, the text progresses through algebraic numbers, real numbers, complex numbers, quaternions, and infinitesimals, with treatment of the infinite along the way. Historical and philosophical side notes are included.

Throughout the text, children are guided to think carefully about mathematics itself, learning not just what is true but why it is true. Children who take the time to think through the ideas of this text will have the tools necessary for a deeper understanding of calculus.

Sample pages: Contents page | page 4 | page 15 | page 23

Designed for self-learners who have completed the traditional high school mathematics curriculum through trigonometry, this supplemental text is ideal for independent study. Careful exposition of the topics and well-developed examples with ample comments guide students' thinking, while answers to odd-numbered exercises provide feedback on the students' progress.

Beginning with new ways to think about such familiar number systems as natural and rational numbers, the text progresses through algebraic numbers, real numbers, complex numbers, quaternions, and infinitesimals, with treatment of the infinite along the way. Historical and philosophical side notes are included.

Throughout the text, students are guided to think carefully about mathematics itself, learning not just what is true but why it is true. Students who take the time to think through the ideas of this text will have the tools necessary for a deeper understanding of calculus.

Sample pages: Contents page | page 4 | page 15 | page 23

Supplemental Mathematics for the Curious: Number Systems Cover

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