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In this book, the history of the concepts critical to the discovery and development of aluminum, its alloys and the anodizing process are reviewed to provide a foundation for the challenges, achievements, and understanding of the complex relationship between the aluminum alloy and the reactions that occur during anodic oxidation. Empirical knowledge that has long sustained industrial anodizing is clarified by viewing the process as corrosion science, addressing each element of the anodizing circuit in terms of the Tafel Equation. This innovative approach enables a new level of understanding and engineering control for the mechanisms that occur as the oxide nucleates and grows, developing its characteristic highly ordered structure, which impact the practical function of the anodic aluminum oxide.
extending mathematical understanding, mathematics intervention, childhood mathematics learning, mathematics assessment, intervention program, early number concepts, arithmetic strategies, multiplicative reasoning, place value concepts, counting knowledge, mathematics learning trajectory, early number learning, primary schools mathematics, learning difficulties, identification of mathematics learning difficulties or disabilities
The Student Solutions Manual contains the complete solutions to all odd-numbered exercises in the text. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
The Student Solutions Manual contains the complete solutions to all odd-numbered exercises in the text. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Designed for the non-traditional Liberal Arts course, Mathematical Thinking and Quantitative Reasoning focuses on practical topics that students need to learn in order to be better quantitative thinkers and decision-makers. The author team’s approach emphasizes collaborative learning and critical thinking while presenting problem solving in purposeful and meaningful contexts. While this text is more concise than the author team’s Mathematical Excursions (© 2007), it contains many of the same features and learning techniques, such as the proven Aufmann Interactive Method. An extensive technology package provides instructors and students with a comprehensive set of support tools. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
A step-by-step program that shows parents, simply and clearly, how to teach their child to read in just 20 minutes a day.
Applied College Algebra is designed to provide students with a solid mathematical foundation enhanced by motivating and relevant applications. The interactive presentation of concepts supports students with a variety of learning styles and provides a comfortable transition to more advanced mathematics for all students, especially those coming from developmental courses. Chapter Prep Quizzes at the start of each chapter help students assess their prerequisite knowledge. Each question includes a section reference that students can use to get additional support and view related examples. Problem Solving Strategies to guide students in developing problem-solving skills appear at the start of each chapter. Clear Examples paired with Check Your Progress Questions are hallmark features of the Aufmann Interactive Method. After a worked-out example is presented, a similar Check Your Progress exercise helps students practice the concept. Full Solutions to Check Your Progress Questions appear in an appendix. The complete solution not only provides students full support in understanding new material, but serves as an additional example to students reviewing material for a test or quiz.
Excavating English is a curriculum designed for ages 12 and up. It explores the multicultural roots of the English language from 4000 BC to present day. The text provides over 150 pages of information, trivia, word games, activities and Internet links (including a playlist of supplemental videos). The first chapters give an introduction to linguistics, phonetics and phonology. The text then traces English from the shores of the Black Sea (Proto-Indo-European) through the history of the Germanic peoples, the Danes, the Anglo-Saxons, the Normans, and the great wordsmiths of the Renaissance. The history continues as English crosses the ocean to America, then is influenced by immigrants from all over the world. The text is not only informative, but is lively and interesting, and the activities included after each chapter make the curriculum very interactive.
Offering more algebra review than other texts, Precalculus with Limits encourages students to actively participate in math and focus on the link between concepts and applications. The proven Aufmann Interactive Method helps students learn the process of working out problems by providing a step-by-step example with annotations accompanied by a You-Try-It exercise. Students can then pinpoint mistakes by consulting the complete solutions in the appendix.