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The text makes even the most complex of the trigonometric concepts clear and accessible to students. It develops concepts and the definitions of terminology so that students can both understand and remember them. It includes progress checks for students to check their understanding.
Section summaries list important definitions and results proven in the section. The disciplined and motivated student could learn trigonometry from this text on their own. Some students may need further clarification of the reading. The text is internally consistent in terms of terminology and framework. Each of the beginning activities reviews prior mathematical work necessary for the new section. The answers to these beginning activities are developed in the material later in the section.
Each section has progress checks with answers to these checks in Appendix A. Each section is summarized listing important definitions and results proven in the section. This text is best read from the beginning to the end to fully understand how ideas are developed. However, each chapter can stand on its own. Each reading section is fairly small and the text within each section is broken up into small chunks to keep the reader engaged, active, and interested. This text is very organized, well structured, and flows very well.
It is particularly strong in its clear and logical development of topics. There is the right amount of rhythm and variety to keep the reader engaged. It uses language that is more conversational and approachable than most mathematical texts. There were a few links to figures that did not seems to take me exactly to the figure, but at least close to them. Otherwise, I did not note any interface issues, navigation problems, distortion of images, or any other distracting or confusing display features.
I noted only a couple of grammatical errors in Progress Check 1. This text is not culturally insensitive in any way. Rather the variety of resources and beginning activities engage students with different learning styles and mathematical backgrounds. I think this text is excellent. It uses a guided approach and has a conversational, interesting, and engaging tone that promises to effectively reach all learners from the serious math student to those with math anxiety.
I will definitely make this text available to my students to get their feedback and hope to use it as the main text in the future. It could greatly facilitate teaching and learning both in online and traditional courses. 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. Content Accuracy rating: 5 I have not encountered any errors during my review of the book.
Clarity rating: 5 The tone of this book is very comfortable, almost conversational, yet it is not lacking in the necessary mathematical rigor. Consistency rating: 4 One of the major features of this book are its Progress Checks, which are essentially example problems that the students work out for themselves. Modularity rating: 4 I think this book is as modular as a trigonometry textbook can be.
Interface rating: 5 The book was easily legible, and all charts and diagrams were clear and easy to read. Grammatical Errors rating: 5 There were no grammatical errors that I noticed. Cultural Relevance rating: 5 This book is appropriate for any student who might use it, regardless of background. Comments In many respects, this book conforms to current understanding of trigonometry education.
Content Accuracy rating: 5 I did not note any errors or bias in the content of the book. Clarity rating: 5 The text makes even the most complex of the trigonometric concepts clear and accessible to students. Consistency rating: 5 The text is internally consistent in terms of terminology and framework. Modularity rating: 5 This text is best read from the beginning to the end to fully understand how ideas are developed. Interface rating: 5 There were a few links to figures that did not seems to take me exactly to the figure, but at least close to them.
Grammatical Errors rating: 5 I noted only a couple of grammatical errors in Progress Check 1. Cultural Relevance rating: 5 This text is not culturally insensitive in any way. Comments I think this text is excellent.
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