Help Your Math From Ke Xin of BMCC, Help Your Math is a volunteer- and donation-based open education resource tailored for BMCC Mathematics classes.
Calculus for Everyone This course site was created by Sandra Kingan, Jeffrey Suzuki, and John Velling with Miriam Deutch at Brooklyn College. “Browse the pages of this site to view information on the math department textbook, individual websites hosted by several professors who teach Calculus, one of which contains a free textbook, and links to videos and other useful resources.”
College Algebra Through Problem Solving (2021 Edition) This textbook was created by Danielle Cifone, Karan Puri, Debra Maslanko, and Ewa Stelmach at Queensborough Community College. “Students can use the book to learn concepts and work in the book themselves. Instructors can adapt the book for use in any college algebra course to facilitate active learning through problem solving. Additional resources such as classroom assessments and online/printable homework is available from the authors.”
Math in the Modern World This assignment was created by Steven Cosares at La Guardia Community College. In it, “students are asked to gather nutrition data regarding their favorite snacks and assess how well they contribute to their maintenance of a ‘healthy’ diet, as defined through articles, websites, and guidelines established by the US Department of Agriculture.”
Precalculus [PDF] This textbook was created by by Thomas Tradler and Holly Carley at City Tech. It “has the overarching theme of ‘functions.’ This means that many of the often more algebraic topics studied in the previous courses are revisited under this new function theoretic point of view.”
Open Textbooks by Subject
General / Quantitative Literacy
Math & YOU This text is free to use online, but no modifications are permitted. PDF and other versions are available for a fee.
Mathematics for Elementary Teachers (University of Hawaiʻi OER) “This book will help you to understand elementary mathematics more deeply, gain facility with creating and using mathematical notation, develop a habit of looking for reasons and creating mathematical explanations, and become more comfortable exploring unfamiliar mathematical situations.”
Mathematical Reasoning: Writing and Proof, Version 3 This book is “a text for the first college mathematics course that introduces students to the processes of constructing and writing proofs and focuses on the formal development of mathematics.”
Math in Society “This book is a survey of contemporary mathematical topics, most non-algebraic, appropriate for a college-level quantitative literacy topics course for liberal arts majors. The text is designed so that most chapters are independent, allowing the instructor to choose a selection of topics to be covered. Emphasis is placed on the applicability of the mathematics.”
Math Textbooks (OpenStax) These textbooks cover a variety of levels of Pre-Algebra, Algebra, Trigonometry, Pre-calculus, Calculus, and Statistics.
Teaching Math for Emergent Bilinguals: Building on Culture, Language, and Identity “This book is designed for pre-service/in-service teachers and others who will work or work with K–12 students who have linguistically and culturally diverse backgrounds, especially students of other languages (English language learners/Emergent bilingual/multilingual). The core concept of this course is helping teachers understand the needs of various Emergent Bilinguals (a.k.a. English language learners (ELLs)/English Learners (ELs), learn to use their language and culture as a resource in mathematics classrooms and implement research-based instructional strategies that are effective to teach mathematics for Emergent Bilinguals.”
Logic
forallX: an Introduction to Formal Logic By P.D. Magnus, professor and department chair in Philosophy at the University at Albany, this book “covers translation, formal semantics, and proof theory for both sentential logic and quantified logic.”
A Friendly Introduction to Mathematical Logic By Christopher Leary and Lars Kristiansen, this textbook introduces “readers with no previous study in the field […] to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study.”
Algebra
College Algebra 2e (OpenStax) “College Algebra 2e provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book addresses the needs of a variety of courses.”
Linear Algebra with Applications “Overall, the aim of the text is to achieve a balance among computational skills, theory, and applications of linear algebra. It is a relatively advanced introduction to the ideas and techniques of linear algebra targeted for science and engineering students who need to understand not only how to use these methods but also gain insight into why they work.”
Statistics
Data Analysis “This resource covers the following learning objectives: explain the uses and misuses of statistics; demonstrate an understanding of mean, median, mode, range, quartiles, percentiles, standard deviation, the normal curve, z scores, sampling error, and confidence intervals; graphically present data in the form of frequency tables, line graphs, bar graphs, and stem and leaf plots; design and conduct a statistics project; and analyze the data and communicate your observations about the data. This textbook was written for Adult Basic Education (ABE) Advanced Level Mathematics.”
Introductory Business Statistics (OpenStax) “Introductory Business Statistics is designed to meet the scope and sequence requirements of the one-semester statistics course for business, economics, and related majors.”
Precalculus 2e (OpenStax) “Precalculus 2e provides a comprehensive exploration of mathematical principles and meets scope and sequence requirements for a typical precalculus course. The text proceeds from functions through trigonometry and ends with an introduction to calculus. The modular approach and the richness of content ensure that the book addresses the needs of a variety of courses.”
Calculus, Volume 2 (OpenStax) “Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.”
Calculus, Volume 3 (OpenStax) “Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.”
Discrete Mathematics
A Spiral Workbook for Discrete Mathematics “This is a text that covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions, relations, and elementary combinatorics, with an emphasis on motivation. It explains and clarifies the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft to a final polished form.”
Cree Dictionary of Mathematical Terms with Visual Examples This book “provides Cree equivalents of 176 mathematics terms and their definitions in English. The visual examples mainly contain Indigenous elements. The dictionary was reviewed by Elders, Indigenous Knowledge Keepers, and Cree-speaking educators.”
GeoGebra “GeoGebra is a dynamic mathematics software for all levels of education that brings together geometry, algebra, spreadsheets, graphing, statistics and calculus in one engine. In addition, GeoGebra offers an online platform with over 1 million free classroom resources created by our multilingual community.”
Mathispower4U Tutorials by James Sousa “This site provides over 7,000 free mini-lessons and example videos. All of the videos are closed captioned and ADA compliant.” Many videos appear in MyOpenMath.
MyOpenMath “MyOpenMath is designed for mathematics, providing delivery of homework, quizzes, and tests with rich mathematical content. Students can receive immediate feedback on algorithmically generated questions with numerical or algebraic expression answers.”
PhET Math Interactive Simulations “PhET provides fun, free, interactive, research-based science and mathematics simulations. We extensively test and evaluate each simulation to ensure educational effectiveness. These tests include student interviews and observation of simulation use in classrooms. The simulations are written in HTML5 (with some legacy simulations in Java or Flash), and can be run online or downloaded to your computer. All simulations are open source.”
Videos
Communicating in Mathematics “These screencasts are designed for students taking MTH 210, Communicating in Mathematics at Grand Valley State University. They are intended to be paired with the book Mathematical Reasoning: Writing and Proof by Ted Sundstrom.”
