Contemporary Mathematics is designed to meet the scope and sequence requirements for a liberal arts mathematics course. This resource provides stand-alone sections with a focus on showing relevance in the features as well as the examples, exercises, and exposition. Contemporary Mathematics integrates technology applications, projects, and highlights a diverse group of contributors to mathematics, statistics, and related fields.

Short Description:
This developmental-level mathematics textbook is intended for career-technical students. Order a print copy: https://tinyurl.com/techmath1e

Word Count: 32112

ISBN: 978-1-63635-075-2

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Short Description:
Mathematical Reasoning and Investigation is designed to help you develop the ability to use mathematics to solve the kinds of problems that don't come with answers in the back of the book. We like to think of it as a mathematics book for people who think they're not good at mathematics. The work will be useful for anyone wanting to develop their own skills in reasoning and problem solving using mathematics, and for teachers and preservice teachers hoping to help their students to develop these same skills.

Word Count: 36868

ISBN: 978-0-7300-0410-3

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An Open Education Resource

Short Description:
Mathematical modelling plays an increasingly important role in almost any area of life sciences, and this interactive textbook focuses on the areas of population ecology, infectious diseases, immunology and cell dynamics, gene networks and pharmacokinetics. It is aimed at anyone who is interested in learning about how to model biological systems, including undergraduate and postgraduate mathematics students who have not studied mathematical biology before, life-sciences students with an interest in modelling, and post-16 mathematics students interested in university-level material. Some mathematical knowledge is assumed, and the mathematical models used are all in the form of ordinary differential equations.

Word Count: 41598

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Short Description:
Business and Financial Mathematics introduces students to the ideas, concepts, and applications of the mathematics of business and finance. Topics include the mathematics of merchandising, cost-volume-profit analysis, simple and compound interest, annuities, loans, bonds, and business investment decisions. The book is written at an introductory level, designed for students studying business, finance, or other related areas. The text emphasizes the understanding and application of technology, in the form of a financial calculator, to solve problems, but some knowledge of algebra is required.

Long Description:
Business and Financial Mathematics introduces students to the ideas, concepts, and applications of the mathematics of business and finance. Topics include the mathematics of merchandising, cost-volume-profit analysis, simple and compound interest, annuities, loans, bonds, and business investment decisions. The book is written at an introductory level, designed for students studying business, finance, or other related areas. The text emphasizes the understanding and application of technology, in the form of a financial calculator, to solve problems, but some knowledge of algebra is required.

Word Count: 149045

Included H5P activities: 54

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This applied mathematics textbook covers Matrices and Pathways, Statistics and Probability, Finance, Cyclic, Recursive and Fractal Patterns, Vectors, and Design. The approach used is primarily data driven, using numerical and geometrical problem-solving techniques.

Short Description:
This is book three in a six-book series on fundamental mathematics for adult learners. These books include exercises, self-tests, unit tests, and answer keys. Topics in this book include: multiplication, division, making change, and the metric system. These books align with the learning outcomes for Adult Fundamental Math as outlined in the BC ABE Articulation Handbook.

Word Count: 26043

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Word Count: 82950

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The Mathematics of Nutrition Science is a workbook designed to integrate and contextualize developmental mathematics into an introductory college level Nutrition class. Definitions and skills from Community College Level Elementary Algebra and Quantitative Literacy courses are explained through examples analyzing the nutritional content of different foods. The book contains exercises for students to practice these skills, and also to reflect on the concepts through short writing assignments aligned with developmental English. These materials could be used by Nutrition course instructor in many different ways, and are designed to be self-contained and require minimal mathematical instruction.

Music & Math Using Supercollider

Word Count: 1861

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How do populations grow? How do viruses spread? What is the trajectory of a glider?

Many real-life problems can be described and solved by mathematical models. In this course, you will form a team with another student and work in a project to solve a real-life problem.

You will learn to analyze your chosen problem, formulate it as a mathematical model (containing ordinary differential equations), solve the equations in the model, and validate your results. You will learn how to implement Euler’s method in a Python program.

If needed, you can refine or improve your model, based on your first results. Finally, you will learn how to report your findings in a scientific way.

This course is mainly aimed at Bachelor students from Mathematics, Engineering and Science disciplines. However it will suit anyone who would like to learn how mathematical modeling can solve real-world problems.

Short Description:
The content of this textbook is aligned with the British Columbia Adult Basic Education learning outcomes for the Advanced Level Business/Technical Mathematics. The textbook covers nine groups of learning outcomes organized in chapters. The first three chapters cover the core learning outcomes: 1. Operations with Real Numbers, 2. First Degree Equations and Inequalities, 3. Equations and their Graphs. The remaining chapters cover the following six topics: 4. Systems of Equations, 5. Trigonometry, 6. Health Option, 7. Finance, 8. Data Analysis 1, 9. Data Analysis 2.

Word Count: 137676

ISBN: 978-1-77420-126-8

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Short Description:
The content of this textbook is aligned with the British Columbia Adult Basic Education learning outcomes for the Advanced Level Business/Technical Mathematics. The textbook covers nine groups of learning outcomes organized in chapters. The first three chapters cover the core learning outcomes: 1. Operations with Real Numbers 2. First Degree Equations and Inequalities 3. Equations and their Graphs The remaining chapters cover the following six topics:4.Systems of Equations 5. Trigonometry 6. Health Option 7. Finance 8. Data Analysis1 9. Data Analysis2.

Word Count: 137600

ISBN: 978-1-77420-126-8

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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.

Teaching Mathematics is nothing less than a mathematical manifesto. Arising in response to a limited National Curriculum, and engaged with secondary schooling for those aged 11 ̶ 14 (Key Stage 3) in particular, this handbook for teachers will help them broaden and enrich their students’ mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts that need to be borne in mind by all teachers and textbook authors—but which are little appreciated in the UK at present.
This study is aimed at anyone who would like to think more deeply about the discipline of ‘elementary mathematics’, in England and Wales and anywhere else. By analysing and supplementing the current curriculum, Teaching Mathematics provides food for thought for all those involved in school mathematics, whether as aspiring teachers or as experienced professionals. It challenges us all to reflect upon what it is that makes secondary school mathematics educationally, culturally, and socially important.

This developmental-level mathematics textbook is intended for career-technical students. The approach is conversational, with many of the examples drawn from everyday life rather than from the technical trades. Practice assignments are available on the MyOpenMath platform.

Word Count: 176231

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Discrete Mathematics: An Open Introduction is a free, open source textbook appropriate for a first or second year undergraduate course for math majors, especially those who will go on to teach. The textbook has been developed while teaching the Discrete Mathematics course at the University of Northern Colorado. Primitive versions were used as the primary textbook for that course since Spring 2013, and have been used by other instructors as a free additional resource. Since then it has been used as the primary text for this course at UNC, as well as at other institutions.

Word Count: 30407

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Word Count: 65179

ISBN: 978-1-948027-04-5

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Word Count: 138476

ISBN: 978-1-998755-14-1

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t is increasingly clear that the shapes of reality – whether of the natural world, or of the built environment – are in some profound sense mathematical. Therefore it would benefit students and educated adults to understand what makes mathematics itself ‘tick’, and to appreciate why its shapes, patterns and formulae provide us with precisely the language we need to make sense of the world around us. The second part of this challenge may require some specialist experience, but the authors of this book concentrate on the first part, and explore the extent to which elementary mathematics allows us all to understand something of the nature of mathematics from the inside.

The Essence of Mathematics consists of a sequence of 270 problems – with commentary and full solutions. The reader is assumed to have a reasonable grasp of school mathematics. More importantly, s/he should want to understand something of mathematics beyond the classroom, and be willing to engage with (and to reflect upon) challenging problems that highlight the essence of the discipline.

The book consists of six chapters of increasing sophistication (Mental Skills; Arithmetic; Word Problems; Algebra; Geometry; Infinity), with interleaved commentary. The content will appeal to students considering further study of mathematics at university, teachers of mathematics at age 14-18, and anyone who wants to see what this kind of elementary content has to tell us about how mathematics really works.

: Fundamental mathematics for adult learners. Book 1 includes a Table of Contents, Glossary, Grades Records, Self Tests, Practice Tests and Unit Tests. Ancillary Resources include the Instructor's Manual. This is 1 of a series of 6 books in the ABE Math collection.

: Fundamental mathematics for adult learners. Book 3 includes a Table of Contents, Glossary, Grades Records, Self Tests, Practice Tests and Unit Tests. Ancillary Resources include the Instructor's Manual. This is 1 of a series of 6 books in the ABE Math collection.

Mathematical Reasoning: Writing and Proof 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. Version 3 of this book is almost identical to Version 2.1. The main change is that the preview activities in Version 2.1 have been renamed to beginning activities in Version 3. This was done to emphasize that these activities are meant to be completed before starting the rest of the section and are not just a short preview of what is to come in the rest of the section.

: Fundamental mathematics for adult learners. Book 2 includes a Table of Contents, Glossary, Grades Records, Self Tests, Practice Tests and Unit Tests. Ancillary Resources include the Instructor's Manual. This is 1 of a series of 6 books in the ABE Math collection.

Short Description:
The Cree Dictionary of Mathematical Terms with Visual Examples 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.

Long Description:
The Cree Dictionary of Mathematical Terms with Visual Examples is the continuation of our work on composing Cree equivalents of mathematics terms. The glossary of mathematics terms was developed considering the topics of school curriculums of Canadian provinces. The Dictionary 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. Elders found it acceptable to use visual examples with Indigenous elements for educational purposes.

Word Count: 4072

ISBN: ISBN-13: 978-0-7731-0779-3

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: Fundamental mathematics for adult learners. Book 4 includes a Table of Contents, Glossary, Grades Records, Self Tests, Practice Tests and Unit Tests. Ancillary Resources include the Instructor's Manual. This is 1 of a series of 6 books in the ABE Math collection.

: Fundamental mathematics for adult learners. Book 5 includes a Table of Contents, Glossary, Grades Records, Self Tests, Practice Tests and Unit Tests. Ancillary Resources include the Instructor's Manual. This is 1 of a series of 6 books in the ABE Math collection.

: Fundamental mathematics for adult learners. Book 6 includes a Table of Contents, Glossary, Grades Records, Self Tests, Practice Tests and Unit Tests. Ancillary Resources include the Instructor's Manual. This is 1 of a series of 6 books in the ABE Math collection.

A Cool, Brisk Walk Through Discrete Mathematics, an innovative and non-traditional approach to learning Discrete Math, is available for low cost from Blurb or via free download.

This award-winning text carefully leads the student through the basic topics of Real Analysis. Topics include metric spaces, open and closed sets, convergent sequences, function limits and continuity, compact sets, sequences and series of functions, power series, differentiation and integration, Taylor's theorem, total variation, rectifiable arcs, and sufficient conditions of integrability. Well over 500 exercises (many with extensive hints) assist students through the material.

Our goal with this textbook is to provide students with a strong foundation in mathematical analysis. Such a foundation is crucial for future study of deeper topics of analysis. Students should be familiar with most of the concepts presented here after completing the calculus sequence. However, these concepts will be reinforced through rigorous proofs.
The textbook contain topics of real analysis usually covered in a 10-week course: the completeness axiom, sequences and convergence, continuity, and differentiation. The lecture notes also contain many well-selected exercises of various levels. Although these topics are written in a more abstract way compared with those available in some textbooks, teachers can choose to simplify them depending on the background of the students. For instance, rather than introducing the topology of the real line to students, related topological concepts can be replaced by more familiar concepts such as open and closed intervals. Some other topics such as lower and upper semicontinuity, differentiation of convex functions, and generalized differentiation of non-differentiable convex functions can be used as optional mathematical projects. In this way, the lecture notes are suitable for teaching students of different backgrounds.

Word Count: 27961

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Short Description:
This textbook was created for the Pre-Health Sciences Pathway to Advanced Diplomas and Degrees program (PHS) program first term mathematics course. It is largely an adaptation of Elementary Algebra 2e by OpenStax

Long Description:
This textbook is intended for the Pre-Health Sciences Pathway to Advanced Diplomas and Degrees (PHS) program at Fanshawe College. It has been adapted using various math OERs and some original content by Fanshawe College. It is largely an adaptation of Elementary Algebra 2e by OpenStax. It presents six units of content covered in the first term (level 1) mathematics course in PHS.

Word Count: 214960

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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.

Word Count: 49535

Included H5P activities: 1

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Short Description:
This textbook was created for the Pre-Health Sciences Pathway to Advanced Diplomas and Degrees program (PHS) program second term mathematics course. The first textbook is Fanshawe Pre-Health Sciences Mathematics 1. This book is an adaptation of Intermediate Algebra 2e by Open Stax

Long Description:
This textbook is intended for the Pre-Health Sciences Pathway to Advanced Diplomas and Degrees (PHS) program at Fanshawe College. It has been adapted using various math OERs and some original content by Fanshawe College. It presents six units of content covered in the second term (level 2) mathematics course in PHS.

Word Count: 132624

Included H5P activities: 42

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Short Description:
This is book two in a six-book series on fundamental mathematics for adult learners. These books include glossaries, self tests, practice requests, grades records, and unit tests. Topics in this book include: Number sense, addition, subtraction, multiplication, and making change, time, and perimeter.

Word Count: 44534

ISBN: 978-1-77420-195-4

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Short Description:
This is book four in a six-book series on fundamental mathematics for adult learners. These books include glossaries, self tests, practice requests, grades records, and unit tests. The book also includes an Instructor's Manual. These books align with the learning outcomes for Adult Fundamental Math as outlined in the BC ABE Articulation Handbook.

Word Count: 35967

ISBN: 978-1-77420-215-9

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