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Guidelines for Improving the Effectiveness of Boards of Directors of Nonprofit Organizations

Contributors: Harrison and Murray

Publisher: Open SUNY

License: CC BY-NC-SA

The purpose of this book is to help boards of directors of nonprofit organizations improve their performance after completing the online board self-assessment tool found at www.boardcheckup.com. However, it can also be used as a stand-alone resource for any board seeking to enhance its effectiveness in that it also contains the diagnostic questions on which the online tool is based.

(6 reviews)

Instruction in Functional Assessment

Contributors: Desrochers and Fallon

Publisher: Open SUNY

License: CC BY-NC-SA

Instruction in Functional Assessment introduces learners to functional assessment (FA), which includes a variety of assessment approaches (indirect, observational, and experimental) for identifying the cause of an individual's challenging behavior for the purpose of designing effective treatments. FA is mandated by federal law and is a recognized empirically based approach to treatment of individuals with challenging behaviors (e.g., disruptive, self-injurious, and aggressive behaviors). Instruction in FA is essential for students who will one day enter professions as educators, psychologists, social workers, counselors, or mental health professionals.

(11 reviews)

How We Got from There to Here: A Story of Real Analysis

Contributors: Rogers and Boman

Publisher: Open SUNY

License: CC BY-NC-SA

The typical introductory real analysis text starts with an analysis of the real number system and uses this to develop the definition of a limit, which is then used as a foundation for the definitions encountered thereafter. While this is certainly a reasonable approach from a logical point of view, it is not how the subject evolved, nor is it necessarily the best way to introduce students to the rigorous but highly non-intuitive definitions and proofs found in analysis.

(3 reviews)

APEX Calculus

Contributors: Hartman, Heinold, Siemers, Chalishajar, and Bowen

Publisher: APEX Calculus

License: CC BY-NC

This text comprises a three–text series on Calculus. The first part covers material taught in many “Calc 1” courses: limits, derivatives, and the basics of integration, found in Chapters 1 through 6.1. The second text covers material often taught in “Calc 2:” integration and its applications, along with an introduction to sequences, series and Taylor Polynomials, found in Chapters 5 through 8. The third text covers topics common in “Calc 3” or “multivariable calc:” parametric equations, polar coordinates, vector–valued functions, and functions of more than one variable, found in Chapters 9 through 14. More information, including free downloads of .pdf versions of the text, is available at www.apexcalculus.com.

(5 reviews)

Precalculus

Contributors: Abramson, Falduto, and Grosss

Publisher: OpenStax

License: CC BY

Precalculus is intended for college-level precalculus students. Since precalculus courses vary from one institution to the next, we have attempted to meet the needs of as broad an audience as possible, including all of the content that might be covered in any particular course. The result is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text. Many chapters of Openstax College Precalculus are suitable for other freshman and sophomore math courses such as College Algebra and Trigonometry; however, instructors of those courses might need to supplement or adjust the material. Openstax will also be releasing College Algebra and Algebra and Trigonometry titles tailored to the particular scope, sequence, and pedagogy of those courses.

(7 reviews)

Introductory Statistics

Contributors: Illowsky, Dean, and Chiappetta

Publisher: OpenStax

License: CC BY

Introductory Statistics follows the scope and sequence of a one-semester, introduction to statistics course and is geared toward students majoring in fields other than math or engineering. This text assumes students have been exposed to intermediate algebra, and it focuses on the applications of statistical knowledge rather than the theory behind it. The foundation of this textbook is Collaborative Statistics, by Barbara Illowsky and Susan Dean, which has been widely adopted. Introductory Statistics includes innovations in art, terminology, and practical applications, all with a goal of increasing relevance and accessibility for students. We strove to make the discipline meaningful and memorable, so that students can draw a working knowledge from it that will enrich their future studies and help them make sense of the world around them. The text also includes Collaborative Exercises, integration with TI-83,83+,84+ Calculators, technology integration problems, and statistics labs.

(32 reviews)

Liberté

Contributor: Angelo

Publisher: Gretchen V. Angelo

License: CC BY-NC-SA

This French book is aimed at a first-year college student. Its features include:

(10 reviews)

Linear Algebra

Contributors: Cherney, Denton, and Waldon

Publisher: University of California, Davis

License: CC BY-NC-SA

We believe the entire book can be taught in twenty five 50-minute lectures to a sophomore audience that has been exposed to a one year calculus course. Vector calculus is useful, but not necessary preparation for this book, which attempts to be self-contained. Key concepts are presented multiple times, throughout the book, often first in a more intuitive setting, and then again in a definition, theorem, proof style later on. We do not aim for students to become agile mathematical proof writers, but we do expect them to be able to show and explain why key results hold. We also often use the review exercises to let students discover key results for themselves; before they are presented again in detail later in the book.

(2 reviews)

A Computational Introduction to Number Theory and Algebra

Contributor: Shoup

Publisher: Cambridge University Press

License: CC BY-NC-ND

All of the mathematics required beyond basic calculus is developed “from scratch.” Moreover, the book generally alternates between “theory” and “applications”: one or two chapters on a particular set of purely mathematical concepts are followed by one or two chapters on algorithms and applications; the mathematics provides the theoretical underpinnings for the applications, while the applications both motivate and illustrate the mathematics. Of course, this dichotomy between theory and applications is not perfectly maintained: the chapters that focus mainly on applications include the development of some of the mathematics that is specific to a particular application, and very occasionally, some of the chapters that focus mainly on mathematics include a discussion of related algorithmic ideas as well.

(3 reviews)

Combinatorics Through Guided Discovery

Contributor: Bogart

Publisher: Kenneth P. Bogart

License: Free Documentation License (GNU)

This book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not exclusively on the part of combinatorics that mathematicians refer to as “counting.” The book consists almost entirely of problems. Some of the problems are designed to lead you to think about a concept, others are designed to help you figure out a concept and state a theorem about it, while still others ask you to prove the theorem. Other problems give you a chance to use a theorem you have proved. From time to time there is a discussion that pulls together some of the things you have learned or introduces a new idea for you to work with. Many of the problems are designed to build up your intuition for how combinatorial mathematics works. There are problems that some people will solve quickly, and there are problems that will take days of thought for everyone. Probably the best way to use this book is to work on a problem until you feel you are not making progress and then go on to the next one. Think about the problem you couldn't get as you do other things. The next chance you get, discuss the problem you are stymied on with other members of the class. Often you will all feel you've hit dead ends, but when you begin comparing notes and listening carefully to each other, you will see more than one approach to the problem and be able to make some progress. In fact, after comparing notes you may realize that there is more than one way to interpret the problem. In this case your first step should be to think together about what the problem is actually asking you to do. You may have learned in school that for every problem you are given, there is a method that has already been taught to you, and you are supposed to figure out which method applies and apply it. That is not the case here. Based on some simplified examples, you will discover the method for yourself. Later on, you may recognize a pattern that suggests you should try to use this method again.

(1 review)