### Spotlight on BMCC Faculty

- Help Your Math

From Ke Xin of BMCC. Help Your Math is a volunteer- and donation-based open education resource tailored to BMCC Mathematics classes.

### Open Textbooks – By Subject

#### General / Quantitative Literacy

- Math and You

Free to use online, but no modifications. PDF and other versions available for a fee. - Mathematics for Elementary Teachers

Foundations of mathematics by Michelle Manes of the University of Hawai’i. - Mathematical Reasoning: Writing and Proof

“[D]esigned 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. - Math in Society

“Math in Society is a free, open textbook that surveys 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 on OpenStax

List of OpenStax Math textbooks covering 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 (SUNY Albany)

By P.D. Magnus, PhD of the University of Albany. “In formal logic, sentences and arguments in English are translated into mathematical languages with well-defined properties. If all goes well, properties that were hard to discern in English become clearer in the formal language. This book covers translation, formal semantics, and proof theory for both sentential logic and quantified logic. Each chapter contains practice exercises, and solutions to selected exercises appear in an appendix. The book is designed to provide a semester’s worth of material for an introductory college course.” - A Friendly Introduction to Mathematical Logic (SUNY Genesco / Univ. of Oslo)

By Christopher Leary and Lars Kristiansen. “At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary’s user-friendly 1st edition, readers with no previous study in the field are introduced 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 (OpenStax)
- College Algebra through Problem Solving (2018 edition, Queensborough Community College)

“This is a self-contained, open educational resource (OER) textbook for college algebra. 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.” - Linear Algebra with Applications: Lyryx

Textbook and homework/ancillaries available. Instructor slides available upon request.

#### 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; and design and conduct a statistics project, 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
- Introductory Business Statistics Textbook (OpenStax)
- Open Access Statistics Books (DOAB)
- OpenIntro Statistics (4th Ed)

#### Precalculus

- Precalculus: An Investigation of Functions (2nd Ed)
- Precalculus Ancillary Materials from Stitz and Zeager
- Precalculus Textbook
- Precalculus Textbook (OpenStax)

#### Calculus

- Calculus Textbook (Vol. 1, OpenStax)

“Please note that this title is published under a CC BY-NC-SA 4.0 license, which means that you are free to use and adapt, but not for commercial purposes. Changes you make need to be shared using this license.” - Calculus Textbook (Vol. 2, OpenStax)

Please note that this title is published under a CC BY-NC-SA 4.0 license, which means that you are free to use and adapt, but not for commercial purposes. Changes you make need to be shared using this license.” - Calculus Textbook (Vol. 3, OpenStax)

“Please note that this title is published under a CC BY-NC-SA 4.0 license, which means that you are free to use and adapt, but not for commercial purposes. Changes you make need to be shared using this license.”

#### Discrete Mathematics

- A Spiral Workbook for Discrete Mathematics (SUNY Fredonia)

By Harris Kwong, SUNY Fredonia. “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. Hands-on exercises help students understand a concept soon after learning it. The text adopts a spiral approach: many topics are revisited multiple times, sometimes from a different perspective or at a higher level of complexity. The goal is to slowly develop students’ problem-solving and writing skills.”

### Additional Open and Zero-Cost Resources

- AMSER (Applied Math and Science Education Repository)
- Calculus for Everyone (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.” - GeoGebra
- Math OER in CUNY Academic Works
- MyOpenMath
- “Math in the Modern World” Assignment (CUNY La Guardia Community College)

“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.” - Math is Power 4 U (Tutorials by James Sousa)

“This site provides over 5,000 free mini-lessons and example videos with no ads. All of the videos are closed captioned and ADA compliant.” Many videos appear in MyOpenMath. - phET Math Interactive Simulations
- Resources for Quantitative Literacy Courses by Guertin and Robare (WordPress Doc)

### 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.”