This book provides concise summaries of several early university courses in mathematics. These are: Preparatory mathematics including algebra, log and power rules, inequalities, and trigonometry, Calculus in one and two variables, Differential Equations, Linear Algebra, and Discrete Mathematics, together with a chapter on getting started using mathematics software Matlab, Mathematica, and Python. An index of topics is included for rapidly locating topics of interest, which takes the reader to definitions, important concepts and examples of how to solve associated problems. The book is particularly useful for students who wish to recall what they have learned in previous courses as they go on to further study and for reinforcing key concepts of a current mathematics course. Mathematics teachers will also find this book useful as it gives an overview of topics, serves to remind how several kinds of mathematics problems are solved, and quick access to methods of mathematical problem solving will help to avoid the potentially embarrassing situation of not recalling how to answer some questions asked by students. Since the book is 115 pages including preface and contents, it is easy to carry around.
What makes a good college teacher? This book provides an evidence- based answer to that question by presenting a set of "model teaching characteristics" that define what makes a good college teacher. Based on six fundamental areas of teaching competency known as Model Teaching Characteristics outlined by The Society for the Teaching of Psychology (STP), this book describes how college faculty from all disciplines and at all levels of experience can use these characteristics to evaluate, guide, and improve their teaching. Evidence based research supports the inclusion of each characteristic, each of which is illustrated through example, to help readers master the skills. Readers learn to evaluate their teaching abilities by providing guidance on what to document and how to accumulate and organize the evidence. Two introductory chapters outline the model teaching characteristics followed by six chapters, each devoted to one of the characteristics: training, instructional methods, course content, assessment, syllabus construction, and student evaluations. The book: -Features in each chapter self-evaluation surveys that help readers identify gaps between the model characteristics and their own teaching, case studies that illustrate common teaching problems, discussion questions that encourage critical thinking, and additional readings for further exploration. -Discusses the need to master teaching skills such as collaborative learning, listening, and using technology as well as discipline-specific knowledge. -Advocates for the use of student-learning outcomes to help teachers better evaluate student performance based on their achievement of specific learning goals. -Argues for the development of learning objectives that reflect the core of the discipline's theories and applications, strengthen basic liberal arts skills, and infuse ethical and diversity issues. -Discusses how to solicit student feedback and utilize these evaluations to improve teaching. Intended for professional development or teacher training courses offered in masters and doctoral programs in colleges and universities, this book is also an invaluable resource for faculty development centers, college and university administrators, and college teachers of all levels and disciplines, from novice to the most experienced, interested in becoming more effective teachers.
The Idea of the University, the first book in a set of volumes from Michael A. Peters and Ronald Barnett, provides readings of central texts in the philosophical discourse of the organization and development of the modern research university. Since von Humboldt's reforms at the University of Berlin in 1810, the early influential model of the university was intended to achieve a unity of teaching and research in providing students with an all-round humanist education. Emerging from German idealist and Romantic philosophy traditions, the Humboldtian university reflected the central importance of philosophy and the notion of academic freedom-the freedom to teach and to learn. Over the next two hundred years, scholars developed this discourse, so establishing a canon of texts which are presented in this reader: Kant's The Conflict of the Faculties, Newman's The Idea of the University, Heidegger's The Self-Assertion of the German Universities, Jaspers' The Idea of the University and Ortega y Gasset's Mission of the University. Also included here are contributions from other major figures such as Sedgwick, Whelwell, Stuart Mill, Arnold, and Leavis from the English tradition; and Hutchins, Clark, Kerr, and Bok, among others, from the American tradition. The collection concludes by presenting writings from Lyotard, Derrida, Bourdieu, MacIntyre, Said, and Readings who were all concerned at the many limitations being imposed by modernity and, in their different ways, held out for an idea of the university built around critical reason. With a full-length opening essay by the editors and introductory notes on each of the readings and their authors, this volume constitutes a unique text in the literature on higher education and the university.
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