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Professionsorientierte Fachwissenschaft: Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik (Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik)

by Andreas Eichler Frank Loose Viktor Isaev

Substantielles fachliches Wissen ist eine notwendige Grundlage dafür, dass Lehrerinnen und Lehrer einen attraktiven und erfolgreichen Mathematikunterricht gestalten können. Wie aber muss dieses fachliche Wissen genau aussehen? Auf welche Weise wird es bei der Planung und Durchführung von Unterricht genutzt? Wie kann man es im Studium auf eine Weise erwerben, die es für didaktisches Handeln anschlussfähig macht? Der vorliegende Band gibt Antworten auf diese Fragen. Er diskutiert kohärenzstiftende Lerngelegenheiten in der Lehramtsausbildung, die in regulären Veranstaltungen an Hochschulen systematisch evaluiert wurden.Im ersten Teil des Bandes steht die Professionsorientierung in Vorlesungen zum Lehramtsstudium im Fokus. Dabei wird der Frage nachgegangen, wie das mathematische Fachwissen einer Lehrkraft beschaffen sein muss, um unterrichtlich wirksam zu werden. Auf der Basis verschiedener theoretischer Modelle werden dazu mathematische Grundveranstaltungen im Lehramtsstudium analysiert. Im zweiten Teil des Bandes stehen Übungsveranstaltungen mit einem Schwerpunkt auf der Gestaltung von Aufgaben im Mittelpunkt. Neben einer Klassifikation von Aufgaben werden Konzepte vorgestellt, wie durch spezifische Übungen der Zusammenhang zwischen Hochschulmathematik und der professionellen Tätigkeit von Lehrkräften deutlich gemacht werden kann. Im dritten Teil des Bandes werden schließlich Seminare als weitere Form der professionsorientierten Ausbildung von Lehrkräften betrachtet. Hierbei geht es um spezifische Aspekte der Professionsorientierung wie etwa die Kompetenz zur Nutzung digitaler Werkzeuge oder vertiefende mathematische Themen wie die Differentialgeometrie. Die Evaluationen in den drei Veranstaltungsformen zielen auf die Bewertung von Materialien, die kognitive Entwicklung und schließlich die Veränderung von affektiven Variablen der Lehramtsstudierenden.

Professionswissen von Mathematiklehrkräften: Implikationen aus der Forschung für die Praxis (Mathematik Primarstufe und Sekundarstufe I + II)

by Stefan Krauss Alfred Lindl

Der vorliegende Band vereinigt erstmals die vielfältigen und einflussreichsten empirischen Untersuchungsansätze zum professionellen Wissen von Mathematiklehrkräften der beiden letzten Jahrzehnte. Er ermöglicht allen Leserinnen und Lesern unabhängig von ihren Vorkenntnissen einen raschen Einstieg in dieses zentrale Thema fachdidaktischer Forschung und gewährt einen informationsreichen Überblick über aktuelle Entwicklungen in diesem Bereich der Bildungsforschung. Die wesentlichen Ergebnisse zum pädagogischen Wissen, zum fachdidaktischen Wissen und zum Fachwissen, den Kernkategorien des Professionswissens von Mathematiklehrkräften, werden in neun Kapiteln systematisch und prägnant aufbereitet, immer illustriert anhand konkreter Testinhalte und -aufgaben für Lehrkräfte. Hierbei liegt ein besonderes Augenmerk darauf, die empirischen Erkenntnisse allgemein verständlich und anhand zahlreicher praktischer Beispiele für alle Interessentengruppen handlungsnah zu veranschaulichen, ihren unmittelbaren Praxisbezug zu verdeutlichen und so für die eigene Unterrichtstätigkeit wie auch die Aus-, Fort- und Weiterbildung von Mathematiklehrkräften fruchtbar zu machen. Dieser übersichtliche, gut lesbare Sammelband eignet sich somit einerseits für angehende Mathematiklehrkräfte wie auch Mathematiklehrkräfte im Beruf zum Selbststudium. Andererseits bietet er insbesondere allen, die an den verschiedenen Qualifizierungsphasen der Lehrkräftebildung beteiligt sind, einen reichhaltigen, unentbehrlichen Fundus an detailliert beschriebenen Unterrichtssituationen, empirisch abgesicherten fachdidaktischen Empfehlungen sowie konkreten Handlungsoptionen. Er vermittelt wertvolle Anregungen zur Gestaltung von qualitätsvollem Mathematikunterricht, zu dessen innovativer Weiterentwicklung und Optimierung und zur Förderung der mathematischen Kompetenzen von Schülerinnen und Schülern als dessen Zielkriterium.

Professor Stewart's Cabinet of Mathematical Curiosities

by Ian Stewart

From one of the worldOCOs most beloved popular writers on mathematics, a fun and challenging collection of games, puzzles, stories, and more"

Professor Stewart's Casebook of Mathematical Mysteries

by Ian Stewart

In Professor Stewart’s Casebook of Mathematical Mysteries, acclaimed mathematician Ian Stewart presents an enticing collection of mathematical curios and conundrums. With a new puzzle on each page, this compendium of brainteasers will both teach and delight. Guided by stalwart detective Hemlock Soames and his sidekick, Dr. John Watsup, readers will delve into almost two hundred mathematical problems, puzzles, and facts. Tackling subjects from mathematical dates (such as Pi Day), what we don’t know about primes, and why the Earth is round, this clever, mind-expanding book demonstrates the power and fun inherent in mathematics.

Professor Stewart's Hoard of Mathematical Treasures

by Ian Stewart

Opening another drawer in his Cabinet of Curiosities, renowned mathematics professor Ian Stewart presents a new medley of games, paradoxes, and riddles in Professor Stewart’s Hoard of Mathematical Treasures. With wit and aplomb, Stewart mingles casual puzzles with grander forays into ancient and modern mathematical thought. Amongst a host of arcane and astonishing facts about every kind of number from irrational and imaginary to complex and cuneiform, we learn: - How to organize chaos - How matter balances anti-matter - How to turn a sphere inside out (without creasing it) - How to calculate pi by observing the stars - . . . and why you can’t comb a hairy ball. Along the way Stewart offers the reader tantalizing glimpses of the mathematics underlying life and the universe. Mind-stretching, enlightening, and endlessly amusing, Professor Stewart’s Hoard of Mathematical Treasures will stimulate, delight, and enthrall.

Professor Stewart's Incredible Numbers

by Ian Stewart

At its heart, mathematics is about numbers, our fundamental tools for understanding the world. In Professor Stewart’s Incredible Numbers, Ian Stewart offers a delightful introduction to the numbers that surround us, from the common (Pi and 2) to the uncommon but no less consequential (1. 059463 and 43,252,003,274,489,856,000). Along the way, Stewart takes us through prime numbers, cubic equations, the concept of zero, the possible positions on the Rubik’s Cube, the role of numbers in human history, and beyond! An unfailingly genial guide, Stewart brings his characteristic wit and erudition to bear on these incredible numbers, offering an engaging primer on the principles and power of math.

Profinite Semigroups and Symbolic Dynamics (Lecture Notes in Mathematics #2274)

by Dominique Perrin Jorge Almeida Alfredo Costa Revekka Kyriakoglou

This book describes the relation between profinite semigroups and symbolic dynamics. Profinite semigroups are topological semigroups which are compact and residually finite. In particular, free profinite semigroups can be seen as the completion of free semigroups with respect to the profinite metric. In this metric, two words are close if one needs a morphism on a large finite monoid to distinguish them. The main focus is on a natural correspondence between minimal shift spaces (closed shift-invariant sets of two-sided infinite words) and maximal J-classes (certain subsets of free profinite semigroups). This correspondence sheds light on many aspects of both profinite semigroups and symbolic dynamics. For example, the return words to a given word in a shift space can be related to the generators of the group of the corresponding J-class. The book is aimed at researchers and graduate students in mathematics or theoretical computer science.

Prognoserechnung

by Peter Mertens Susanne Rässler

Mit diesem Buch liegen kompakte Beschreibungen von Prognoseverfahren vor, die vor allem in Systemen der betrieblichen Informationsverarbeitung eingesetzt werden. Praktiker mit langjähriger Prognoseerfahrung zeigen außerdem, wie die einzelnen Methoden in der Unternehmung Verwendung finden und wo die Probleme beim Einsatz liegen. Das Buch wendet sich gleichermaßen an Wissenschaft und Praxis. Das Spektrum reicht von einfachen Verfahren der Vorhersage über neuere Ansätze der künstlichen Intelligenz und Zeitreihenanalyse bis hin zur Prognose von Softwarezuverlässigkeit und zur kooperativen Vorhersage in Liefernetzen. In der siebenten, wesentlich überarbeiteten und erweiterten Auflage werden neue Vergleiche von Prognosemethoden, GARCH-Modelle zur Finanzmarktprognose, "Predictive Analytics" als Variante der "Business Intelligence" und die Kombination von Vorhersagen mit Elementen der Chaostheorie berücksichtigt.

Prognostic Models in Healthcare: AI and Statistical Approaches (Studies in Big Data #109)

by Sudipta Roy Tanzila Saba Amjad Rehman

This book focuses on contemporary technologies and research in computational intelligence that has reached the practical level and is now accessible in preclinical and clinical settings. This book's principal objective is to thoroughly understand significant technological breakthroughs and research results in predictive modeling in healthcare imaging and data analysis. Machine learning and deep learning could be used to fully automate the diagnosis and prognosis of patients in medical fields. The healthcare industry's emphasis has evolved from a clinical-centric to a patient-centric model. However, it is still facing several technical, computational, and ethical challenges. Big data analytics in health care is becoming a revolution in technical as well as societal well-being viewpoints. Moreover, in this age of big data, there is increased access to massive amounts of regularly gathered data from the healthcare industry that has necessitated the development of predictive models and automated solutions for the early identification of critical and chronic illnesses. The book contains high-quality, original work that will assist readers in realizing novel applications and contexts for deep learning architectures and algorithms, making it an indispensable reference guide for academic researchers, professionals, industrial software engineers, and innovative model developers in healthcare industry.

Program Evaluation: A Primer for Effectiveness, Quality, and Value

by Arlene Fink

This timely, unique, and insightful book provides students and practitioners with the tools and skills needed to evaluate social and policy programs across a range of disciplines—from public health to social work to education—enabling the allocation of scarce human and financial resources to advance the health and well-being of individuals and populations. The chapters are organized according to the main tasks involved in conducting an evaluation to produce unbiased evidence of program effectiveness, quality, and value. The chapters include methods for selecting and justifying evaluation questions or hypotheses, designing evaluations, sampling participants, selecting information sources, and ensuring reliable and valid measurement. The final section of the book is focused around managing and analyzing data and transparently reporting the results in written and oral form. The book features international case studies throughout, covers quantitative, qualitative, and mixed-method approaches, and is also informed by new online methods developed during the COVID-19 pandemic. Among the book’s unique features is a focus on international standards for conducting ethical evaluations and avoiding research misconduct. Also featuring checklists, example forms, and summaries of the key ideas and topics, this very practical book is essential reading for students in the social, behavioral, and health sciences, and will be a key resource for professionals in the field.

Programa de matemáticas [Grade 1], Libro del alumno: Libro del alumno (Grade 1) (ORIGO Stepping Stones)

by James Burnett Calvin Irons Peter Stowasser

NIMAC-sourced textbook

Programa de matemáticas: Libro de práctica (Grade 1) (ORIGO Stepping Stones)

by James Burnett Calvin Irons Peter Stowasser

NIMAC-sourced textbook

Programmieren für Ingenieure und Naturwissenschaftler

by Sebastian Dörn

Ziel des Buches ist es, Studierenden der Ingenieur- oder Naturwissenschaften die Programmierung als Schlüsselqualifikation mit zahlreichen Anwendungsmöglichkeiten vorzustellen. Großer Wert wird auf eine praxisorientierte und verständliche Darstellung gelegt. Der Autor behandelt die Anwendungsbereiche des Operations Research, der Medizinischen Informatik und der Automatisierungstechnik. Neben der Darstellung objektorientierter Entwurfsmuster werden zentrale Programmierkonzepte und fortgeschrittene Datenstrukturen vorgestellt. Suchalgorithmen, Graphen, Automaten und reguläre Sprachen werden dem Leser praxisnah vermittelt. Die Grundlagen zur Bildverarbeitung im Bereich der Bildfilterung, Registrierung und Segmentierung runden das Buch ab.

Programmieren für Ingenieure und Naturwissenschaftler: Grundlagen (eXamen.press)

by Sebastian Dörn

Ziel des Buches ist es, Studierenden der Ingenieur- oder Naturwissenschaften die Programmierung als Schlüsselqualifikation mit zahlreichen Anwendungsmöglichkeiten vorzustellen. Die Umsetzung von Programmierkonzepten und algorithmischen Verfahren erfolgt in diesem Buch in Java. Im ersten Teil gibt der Autor eine Einführung in die Grundkonzepte von Java, im zweiten Teil werden algorithmische Verfahren aus dem Bereich der Numerik, sowie allgemeine Methoden zum Entwurf von Algorithmen vorgestellt. Im dritten Teil werden Grundlagen der objektorientierten Programmierung dargestellt sowie ein Überblick über die Erstellung von graphischen Benutzeroberflächen gegeben. Ein Kapitel zu diversen Anwendungen aus dem Bereich der Ingenieur- und Naturwissenschaften sowie Aufgaben und Lösungen in jedem Kapitel runden das Buch ab.

Programmieren für Ingenieure und Naturwissenschaftler: Intelligente Algorithmen und digitale Technologien (eXamen.press)

by Sebastian Dörn

Ziel des Buches ist es, Ingenieuren oder Naturwissenschaftlern die Programmierung als Schlüsselqualifikation mit zahlreichen Anwendungsmöglichkeiten vorzustellen. Der Autor erläutert algorithmische Methoden, die heute hinter digitalen Produkten und Dienstleistungen stehen. Zentrale Anwendungen sind die Künstliche Intelligenz, das Data Mining, die Predictive Analytics, die Industrie 4.0 oder das Internet der Dinge. Die digitale Datenanalyse mit den zugehörigen Algorithmen ist die zentrale Grundlage vieler neuer IT-Technologien. Hierzu werden große Datenmengen verschiedenster Anwendungsfelder verarbeitet und auf gewisse Muster analysiert, um die relevanten Informationen zu extrahieren. Diese sogenannten intelligenten Verfahren sind die Basis für nahezu alle Innovationen in unserer digitalisierten Welt. Mit Hilfe dieser Art der Informationsverarbeitung werden durch die Kombination von mathematischen Modellen und algorithmischen Verfahren neue digitale Geschäftsmodelle erschaffen.

Programming Behavioral Experiments with MATLAB and Psychtoolbox: 9 Simple Steps for Students and Researchers

by Erman Misirlisoy

Human behavior is fascinating so it’s no surprise that psychologists and neuroscientists spend their lives designing rigorous experiments to understand it. MATLAB is one of the most widely used pieces of software for designing and running behavioral experiments, and it opens up a world of quick and flexible experiment programming. This book offers a step-by-step guide to using MATLAB with Psychtoolbox to create customisable experiments. Its pocket size and simple language allow you to get straight to the point and help you to learn fast in order to complete your work in great time. In nine simple steps, it guides you all the way from setting parameters for your experiment to analysing the output. Gone are the daunting days of working through hundreds of irrelevant and complicated documents, as in this handy book, Erman Misirlisoy coaxes you in the right direction with his friendly and encouraging tricks and tips. If you want to learn how to develop your own experiments to collect and analyse behavioral data, then this book is a must-read. Whether you are a student in experimental psychology, a researcher in cognitive neuroscience, or simply someone who wants to run behavioral tasks on your friends for fun, this book will offer you the skills to succeed.

Programming Graphical User Interfaces in R (Chapman & Hall/CRC The R Series #5)

by Michael Lawrence John Verzani

Programming Graphical User Interfaces with R introduces each of the major R packages for GUI programming: RGtk2, qtbase, Tcl/Tk, and gWidgets. With examples woven through the text as well as stand-alone demonstrations of simple yet reasonably complete applications, the book features topics especially relevant to statisticians who aim to provide a practical interface to functionality implemented in R. The book offers: A how-to guide for developing GUIs within R The fundamentals for users with limited knowledge of programming within R and other languages GUI design for specific functions or as learning tools The accompanying package, ProgGUIinR, includes the complete code for all examples as well as functions for browsing the examples from the respective chapters. Accessible to seasoned, novice, and occasional R users, this book shows that for many purposes, adding a graphical interface to one’s work is not terribly sophisticated or time consuming.

Programming Language Explorations

by Ray Toal Rachel Rivera Alexander Schneider Eileen Choe

<P><P><i>Advisory: Bookshare has learned that this book offers only partial accessibility. We have kept it in the collection because it is useful for some of our members. Benetech is actively working on projects to improve accessibility issues such as these.</i> <P><P> Programming Language Explorations is a tour of several modern programming languages in use today. The book teaches fundamental language concepts using a language-by-language approach. As each language is presented, the authors introduce new concepts as they appear, and revisit familiar ones, comparing their implementation with those from languages seen in prior chapters. The goal is to present and explain common theoretical concepts of language design and usage, illustrated in the context of practical language overviews. <P><P>Twelve languages have been carefully chosen to illustrate a wide range of programming styles and paradigms. The book introduces each language with a common trio of example programs, and continues with a brief tour of its basic elements, type system, functional forms, scoping rules, concurrency patterns, and sometimes, metaprogramming facilities. <P><P>Each language chapter ends with a summary, pointers to open source projects, references to materials for further study, and a collection of exercises, designed as further explorations. Following the twelve featured language chapters, the authors provide a brief tour of over two dozen additional languages, and a summary chapter bringing together many of the questions explored throughout the text. <P><P>Targeted to both professionals and advanced college undergraduates looking to expand the range of languages and programming patterns they can apply in their work and studies, the book pays attention to modern programming practice, covers cutting-edge languages and patterns, and provides many runnable examples, all of which can be found in an online GitHub repository. The exploration style places this book between a tutorial and a reference, with a focus on the concepts and practices underlying programming language design and usage. Instructors looking for material to supplement a programming languages or software engineering course may find the approach unconventional, but hopefully, a lot more fun.

Programming Language Explorations

by Ray Toal Sage Strieker Marco Berardini

Programming Language Explorations helps its readers gain proficiency in programming language practice and theory by presenting both example-focused, chapter-length explorations of fourteen important programming languages and detailed discussions of the major concepts transcending multiple languages. A language-by-language approach is sandwiched between an introductory chapter that motivates and lays out the major concepts of the field and a final chapter that brings together all that was learned in the middle chapters into a coherent and organized view of the field.Each of the featured languages in the middle chapters is introduced with a common trio of example programs and followed by a tour of its basic language features and coverage of interesting aspects from its type system, functional forms, scoping rules, concurrency patterns, and metaprogramming facilities. These chapters are followed by a brief tour of over 40 additional languages designed to enhance the reader’s appreciation of the breadth of the programming language landscape and to motivate further study.Targeted to both professionals and advanced college undergraduates looking to expand the range of languages and programming patterns they can apply in their work and studies, the book pays attention to modern programming practices, keeps a focus on cutting-edge programming patterns, and provides many runnable examples, all of which are available in the book’s companion GitHub repository. The combination of conceptual overviews with exploratory example-focused coverage of individual programming languages provides its readers with the foundation for more effectively authoring programs, prompting AI programming assistants, and, perhaps most importantly, learning—and creating—new languages.

Programming Language Fundamentals by Example

by D.E. Stevenson

Surveying the major programming languages that have hallmarked the evolution of computing, Programming Language Fundamentals by Example provides an understanding of the many languages and notations used in computer science, the formal models used to design phases, and the foundations of languages including linguistics. This textbook guides students through the process of implementing a simple interpreter with case-based exercises, questions, and a semester-long project that encompasses all of the concepts and theories presented in the book into one concrete example. It covers also such topics as formal grammars, automata, denotational and axiomatic semantics, and rule-based presentation.

Programming Languages with Applications to Biology and Security

by Chiara Bodei Gian-Luigi Ferrari Corrado Priami

This Festschrift volume is published in honor of Pierpaolo Degano on the occasion of his 65th birthday and is the outcome of a colloquium held in Pisa, Italy, in June 2015. Pierpaolo Degano has worked on a large variety of topics including formal program semantics, concurrency theory, systems biology and security. The volume contains 22 refereed papers and one extended abstract, including personal memoirs and regular research papers by close collaborators and friends and a laudatio illustrating his distinguished career and his main scientific contributions. The papers deal with the main research topics explored by Pierpaolo Degano and those still under his investigation.

Programming Media Art Using Processing: A Beginner's Guide

by Margaret Noble

Programming Media Art Using Processing: A Beginner's Guide provides an entry-level exploration into visual design through computer programming using the open source and artist-friendly language, Processing. Used by hundreds of students, this learning system breaks lessons down into strategic steps towards fun and creative media art projects. This book provides a linear series of lessons with step-by-step examples that lead to beginning media art projects, including abstract designs, pixel landscapes, rollover animations, and simple video games. Computer programming can be overwhelming for the first-time learner, but this book makes the learning of code more digestible and fun through a full color, well-diagrammed, and deeply explained text presentation. Lessons are rhythmically broken down into digestible parts with code annotations and illustrations that help learners focus on the details one step at a time. The content is legible, flexible, and fun to work with because of its project-based nature. By following the lessons and producing the projects sequentially in this book, readers will develop the beginning foundational skills needed to understand computer programming basics across many languages and also explore the art of graphic design. Ultimately, this is a hands-on, practical guide.

Programming Microsoft® LINQ in Microsoft .NET Framework 4

by Marco Russo Paolo Pialorsi

Dig into LINQ -- and transform the way you work with data. With LINQ, you can query data from a variety of sources -- including databases, objects, and XML files -- directly from Microsoft Visual Basic® or C#. Guided by data-access experts who've worked in depth with LINQ and the Microsoft development teams, you'll learn how .NET Framework 4 implements LINQ, and how to exploit it. Clear examples show you how to deliver your own data-access solutions faster and with leaner code. Discover how to: Use LINQ to query databases, object collections, arrays, XML, Microsoft Excel® files, and other sources Apply LINQ best practices to build data-enabled .NET applications and services Manipulate data in a relational database with ADO.NET Entity Framework or LINQ to SQL Read, write, and manage XML content more efficiently with LINQ to XML Extend LINQ to support additional data sources by creating custom operators and providers Examine other implementations, such as LINQ to SharePoint® Use LINQ within the data, business, and service layers of a distributed application Get code samples on the Web

Programming Quantum Computers: Essential Algorithms and Code Samples

by Eric R. Johnston Nic Harrigan Mercedes Gimeno-Segovia

Quantum computers are poised to kick-start a new computing revolution—and you can join in right away. If you’re in software engineering, computer graphics, data science, or just an intrigued computerphile, this book provides a hands-on programmer’s guide to understanding quantum computing. Rather than labor through math and theory, you’ll work directly with examples that demonstrate this technology’s unique capabilities.Quantum computing specialists Eric Johnston, Nic Harrigan, and Mercedes Gimeno-Segovia show you how to build the skills, tools, and intuition required to write quantum programs at the center of applications. You’ll understand what quantum computers can do and learn how to identify the types of problems they can solve.This book includes three multichapter sections:Programming for a QPU—Explore core concepts for programming quantum processing units, including how to describe and manipulate qubits and how to perform quantum teleportation.QPU Primitives—Learn algorithmic primitives and techniques, including amplitude amplification, the Quantum Fourier Transform, and phase estimation.QPU Applications—Investigate how QPU primitives are used to build existing applications, including quantum search techniques and Shor’s factoring algorithm.

Programming for Computations - MATLAB/Octave

by Svein Linge Hans Petter Langtangen

This book presentscomputer programming as a keymethod for solving mathematical problems. There are two versions of the book,one for MATLAB and onefor Python. The book wasinspired by the Springer bookTCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style is more accessible andconcise, in keeping with the needs of engineering students. The book outlines the shortest possible path from no previous experience with programming to a set ofskills that allows the students to write simple programs for solving commonmathematical problems withnumerical methods in engineering and science courses. The emphasis is on generic algorithms, cleandesign of programs, use of functions, and automatic tests for verification.

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