Algorithms, Monks, and Merchants: Computing in Everyday Life in the Middle Ages (1版)

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【簡介】 This book explores the tight relationship that existed between application needs and computational problem-solving methods during the Middle Ages, particularly the period between the 9th and 15th centuries. It was a time of great cultural and economic evolution, starting with the blooming phase of Arab science and continuing with the acquisition of Hindu-Arabic computation methods (based on the decimal positional number system) in Western Europe.The aim is to show, by means of suitable examples, how in the Middle Ages mathematics and computation were tightly related to the solution of everyday life problems. These ranges from religious problems like computing the date of Easter to land measurement and financial computations, as well as handling various volumes and managing agricultural resources.In particular, during the late medieval centuries when the economy saw a substantial upswing, merchants’ activity required strong computational skills to solve a great variety of problems. It is such need that led to the creation of the so called ’abacus schools’ that the sons of merchants, primarily Italians but also from other European regions, attended during their boyhood to learn computing techniques.

Social Studies for the Twenty-First Century Methods and Materials for Teaching in Middle and Secondary Schools (1版)

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Now in its 5th edition, this popular text offers practical, interesting, exciting ways to teach social studies and a multitude of instructional and professional resources for teachers. Theory, curriculum, methods, and assessment are woven into a comprehensive model for setting objectives; planning lessons, units, and courses; choosing classroom strategies; and constructing tests for some of the field's most popular and enduring programs. The reflective and integrative framework emphasizes building imagination, insight, and critical thinking into everyday classrooms; encourages problem-solving attitudes and behavior; and provokes analysis, reflection, and debate. Throughout the text, all aspects of curriculum and instruction are viewed from a tripartite perspective that divides social studies instruction into didactic (factual), reflective (analytical), and affective (judgmental) components. These three components are seen as supporting one another, building the groundwork for taking stands on issues, past and present. At the center is the author's belief that the heart and soul of social studies instruction, perhaps all teaching, lies in stimulating the production of ideas; looking at knowledge from others' viewpoints; and formulating for oneself a set of goals, values, and beliefs that can be explained and justified in open discussion. This new edition is heavily revised and condensed to promote ease of use. "Build Your Own Lesson" additions to each chapter encourage improvisation and inquiry-based teaching and learning across subjects. A Companion Website offers additional activities, lessons, and resources for pre-service and practicing social studies teachers.