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Mathematical Reasoning: Writing and Proof, Version 2.1

Ted Sundstrom

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.
Mathematical Reasoning Writing and Proof, Version 3

Ted Sundstrom

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.

The primary goals of the text are to help students:
- Develop logical thinking skills;
- 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, which includes improving writing techniques, reading comprehension, and oral communication in mathematics;
- better understand the nature of mathematics and its language.
- Another important goal of this text is to provide students with material that will be needed for their further study of mathematics.
Important features of the book include: Emphasis on writing in mathematics; instruction in the process of constructing proofs; and an emphasis on active learning.
Reference Notes for Palliative Care Consultation

Robert F. Johnson

The interprofessional health care specialty of palliative care employs holistic evaluation and person-centered communication in the care of people with life-threatening illness. Palliative care clinicians are consulted for one or more of the following reasons:
- Symptom assessment and management
- Assistance with making difficult decisions about continued use or withdrawal of life-sustaining interventions
- Communication for planning the most appropriate care setting to meet person/family goals for end-of-life care
- Assessment of suitability and eligibility for hospice care
This resource is a compilation of previously published documents and tools useful to palliative care clinicians in preparing for and conduction these consultations. In addition, it can be a reference for students and clinical trainees doing course work, analyzing case studies, or simulating clinical communication scenarios. The materials are indexed for easy retrieval, referenced to acknowledge sources and allow further exploration, and organized into the following categories:
- Palliative Care Definitions/Domains/Dimensions
- Communication
- Symptom Assessment
- Functional Status Evaluation
- Prognostication
- End-of-Life Assessment and Management
- Symptom Management
- Hospice Eligibility Criteria
- Withholding and Withdrawing Life-Sustaining Interventions
- Pediatric End-of-Life Issues
Topology: An Inquiry-Based Approach

Steven Schlicker

This text is intended as a one-semester undergraduate introduction to point-set topology. It begins with concrete metric spaces and increases in abstraction to address topological spaces. It also includes applications that are not typically found in standard undergraduate topology textbooks. The book uses pre- and in-class activities to make students active participants in their learning. Through the activities and text material, students are carefully introduced to the ideas behind the definitions and theorems to help them develop intuition and understand the logic behind them.
Trigonometry

Ted Sundstrom and Steven Schlicker

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.

The authors are very interested in constructive criticism of the textbook from the users of the book, especially students, who are using or have used the book. Please send any comments you have to trigtext@gmail.com.
Understanding Linear Algebra

David Austin

Understanding Linear Algebra is a freely available linear algebra textbook suitable for use in a first undergraduate linear algebra course. The text aims to support readers as they develop their ability to think about linear algebra conceptually, their computational fluency, and their understanding of the role that linear algebra plays in shaping our society. It is also designed to support an active learning classroom environment.
Writing Spaces: Readings on Writing, Volume 1

Charles Lowe and Pavel Zemliansky

Volumes in Writing Spaces: Readings on Writing offer multiple perspectives on a wide-range of topics about writing, much like the model made famous by Wendy Bishop’s “The Subject Is . . .” series. In each chapter, authors present their unique views, insights, and strategies for writing by addressing the undergraduate reader directly. Drawing on their own experiences, these teachers-as-writers invite students to join in the larger conversation about developing nearly every aspect of the craft of writing. Consequently, each essay functions as a standalone text that can easily complement other selected readings in writing or writing-intensive courses across the disciplines at any level.
Writing Spaces: Readings on Writing, Volume 2

Charles Lowe and Pavel Zemliansky

Volumes in Writing Spaces: Readings on Writing offer multiple perspectives on a wide-range of topics about writing. In each chapter, authors present their unique views, insights, and strategies for writing by addressing the undergraduate reader directly. Drawing on their own experiences, these teachers-as-writers invite students to join in the larger conversation about the craft of writing. Consequently, each essay functions as a standalone text that can easily complement other selected readings in writing or writing-intensive courses across the disciplines at any level.
Writing Spaces Web Writing Style Guide Version 1.0

Matt Barton, James Kalmbach, and Charles Lowe

The Writing Spaces Web Writing Style Guide was created as a crowdsourcing project of Collaborvention 2011: A Computers and Writing Unconference. College writing teachers from around the web joined together to create this guide (see our Contributors list). The advice within it is based on contemporary theories and best practices. While the text was originally written for students in undergraduate writing classes, it can also be a suitable resource for other writers interested in learning more about writing for the web. This document is available as a web text for reading online, a printer-friendly PDF, and an EPUB ereader versions. Visit http://writingspaces.org/wwsg to learn more.