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Emphasizing both reading and writing, The Elements of Difficulty helps readers to confront the challenges of interpreting difficult texts and to see those challenges as paths to knowledge, rather than impediments. This short, economical paperback enables readers to acknowledge, name, and assess the nature of their difficulties in reading and interpreting complex texts, with the ultimate goal of transforming confusion into understanding.
The goal of this book is to introduce a reader to a new philosophy of teaching and learning physics - Investigative Science Learning Environment, or ISLE (pronounced as a small island). ISLE is an example of an "intentional" approach to curriculum design and learning activities (MacMillan and Garrison 1988 A Logical Theory of Teaching: Erotetics and Intentionality). Intentionality means that the process through which the learning occurs is as crucial for learning as the final outcome or learned content. In ISLE, the process through which students learn mirrors the practice of physics.
Today's physics textbooks have become encyclopedic, offering students dry discussions, rote formulas, and exercises with little relation to the real world. Physics: The First Science takes a different approach by offering uniquely accessible, student-friendly explanations, historical and philosophical perspectives and mathematics in easy-to-comprehend dialogue. It emphasizes the unity of physics and its place as the basis for all science. Examples and worked solutions are scattered throughout the narrative to help increase understanding. Students are tested and challenged at the end of each chapter with questions ranging from a guided-review designed to mirror the examples, to problems, reasoning skill building exercises that encourage students to analyze unfamiliar situations, and interactive simulations developed at the University of Colorado. With their experience instructing both students and teachers of physics for decades, Peter Lindenfeld and Suzanne White Brahmia have developed an algebra-based physics book with features to help readers see the physics in their lives. Students will welcome the engaging style, condensed format, and economical price.
A series of discovery-based activities focused on building confidence with physics concepts and problem solving by helping to connect new ideas with existing knowledge. The student learns to evaluate, draw, diagram, and graph physics concepts.
Thinking Algebraically presents the insights of abstract algebra in a welcoming and accessible way. It succeeds in combining the advantages of rings-first and groups-first approaches while avoiding the disadvantages. After an historical overview, the first chapter studies familiar examples and elementary properties of groups and rings simultaneously to motivate the modern understanding of algebra. The text builds intuition for abstract algebra starting from high school algebra. In addition to the standard number systems, polynomials, vectors, and matrices, the first chapter introduces modular arithmetic and dihedral groups. The second chapter builds on these basic examples and properties, enabling students to learn structural ideas common to rings and groups: isomorphism, homomorphism, and direct product. The third chapter investigates introductory group theory. Later chapters delve more deeply into groups, rings, and fields, including Galois theory, and they also introduce other topics, such as lattices. The exposition is clear and conversational throughout. The book has numerous exercises in each section as well as supplemental exercises and projects for each chapter. Many examples and well over 100 figures provide support for learning. Short biographies introduce the mathematicians who proved many of the results. The book presents a pathway to algebraic thinking in a semester- or year-long algebra course.
Using space photographs and scaled maps, demonstrates the actual size of objects in the cosmos, from Buzz Aldrin's historic footprint on the Moon to the entire visible universe, with a gatefold of the Gott-Juric Map of the Universe.