Mathematical Reasoning: Writing and Proof is designed to be a text for …
Mathematical Reasoning: Writing and Proof is designed to be a text for the first course in the college mathematics curriculum that introduces students to the processes of constructing and writing proofs and focuses on the formal development of mathematics. The primary goals of the text are to help students:
· Develop logical thinking skills and to develop the ability to think more abstractly in a proof oriented setting.
· Develop the ability to construct and write mathematical proofs using standard methods of mathematical proof including direct proofs, proof by contradiction, mathematical induction, case analysis, and counterexamples.
· Develop the ability to read and understand written mathematical proofs.
· Develop talents for creative thinking and problem solving.
· Improve their quality of communication in mathematics. This includes improving writing techniques, reading comprehension, and oral communication in mathematics.
· Better understand the nature of mathematics and its language.
This text also provides students with material that will be needed for their further study of mathematics.
This trigonometry textbook is different than other trigonometry books in that it …
This trigonometry textbook is different than other trigonometry books in that it is free to download, and the reader is expected to do more than read the book and is expected to study the material in the book by working out examples rather than just reading about them. So this book is not just about mathematical content but is also about the process of learning and doing mathematics. That is, this book is designed not to be just casually read but rather to be engaged.
Since this can be a difficult task, there are several features of the book designed to assist students in this endeavor. In particular, most sections of the book start with a beginning activity that review prior mathematical work that is necessary for the new section or introduce new concepts and definitions that will be used later in that section. Each section also contains several progress checks that are short exercises or activities designed to help readers determine if they are understanding the material. In addition, the text contains links to several interactive Geogebra applets or worksheets. These applets are usually part of a beginning activity or a progress check and are intended to be used as part of the textbook.
The authors are very interested in constructive criticism of the textbook from the users of the book, especially students, who are using or have used the book. Please send any comments you have to trigtext@gmail.com.
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