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Advanced Math Presentation Format: A Historical and Contemporary Analysis
Author: Dr. Evelyn Reed, PhD in Mathematics Education, Professor of Mathematics at the University of California, Berkeley. Dr. Reed has over 20 years of experience teaching advanced mathematics courses and has published extensively on effective pedagogical techniques, including numerous articles on the optimization of advanced math presentation formats.
Keywords: advanced math presentation format, mathematical communication, effective teaching strategies, advanced mathematics pedagogy, visual aids in mathematics, mathematical notation, presentation software for mathematics, academic presentation, scientific communication, advanced mathematical concepts.
Abstract: This article provides a comprehensive analysis of the evolution and current best practices in advanced math presentation formats. We explore the historical shift from purely lecture-based approaches to more interactive and visually engaging methods, examining the impact of technology and evolving understandings of learning processes. The article highlights key elements of effective advanced math presentation formats, emphasizing clarity, precision, and accessibility for diverse learners. It offers practical advice and examples for mathematicians and educators seeking to improve the communication of complex mathematical concepts.
1. A Historical Perspective on Advanced Math Presentation Formats
The presentation of advanced mathematics has undergone a significant transformation throughout history. Early forms relied heavily on lectures, often delivered in a highly formal and abstract manner. The focus was primarily on the logical progression of theorems and proofs, with limited visual aids or interactive elements. The "chalkboard" reigned supreme, often leading to cramped, difficult-to-follow expositions. This traditional advanced math presentation format often prioritized the lecturer's expertise over the students' comprehension.
The advent of the slide projector marked a modest advancement, allowing for pre-prepared diagrams and equations to be displayed. However, the limitations of this technology often resulted in static presentations that lacked the dynamism necessary to fully engage students with complex mathematical concepts.
The digital revolution has fundamentally reshaped the landscape of advanced math presentation formats. The emergence of presentation software like PowerPoint, LaTeX, and specialized mathematical software packages has provided unprecedented opportunities for incorporating dynamic visuals, interactive elements, and multimedia resources. This shift mirrors a broader pedagogical move towards student-centered learning, recognizing that engagement and active participation are crucial for effective learning in advanced mathematics.
2. Key Elements of Effective Advanced Math Presentation Formats
An effective advanced math presentation format must consider several key elements:
Clarity and Precision: Mathematical language must be precise and unambiguous. Definitions, theorems, and proofs should be presented clearly and concisely, avoiding unnecessary jargon or overly technical language. Notation should be consistent and clearly explained.
Visual Aids: Visual aids are crucial for communicating complex mathematical ideas. These can include diagrams, graphs, animations, interactive simulations, and carefully chosen examples. The goal is not merely to illustrate the material but to illuminate it, making abstract concepts more accessible.
Structure and Organization: A well-structured presentation follows a logical flow, building upon previously introduced concepts. Clear headings, subheadings, and transitions help guide the audience through the material.
Engagement and Interaction: Passive listening is rarely effective for learning advanced mathematics. Effective advanced math presentation formats incorporate interactive elements such as questions, polls, group activities, or problem-solving exercises.
Accessibility: The presentation should be accessible to a diverse audience, considering different learning styles and potential disabilities. This might involve using alternative formats for presenting information, providing clear captions and transcripts, and adapting the pace and delivery to suit the audience's needs.
Technology Integration: Appropriate technology can enhance the presentation significantly. This includes using presentation software to create visually appealing slides, incorporating interactive simulations or animations, and utilizing online resources to provide additional information or examples.
3. Choosing the Right Software and Tools for Advanced Math Presentations
The choice of software and tools depends on the specific needs of the presentation. LaTeX, a powerful typesetting system, is widely used for creating high-quality mathematical documents. Presentation software such as PowerPoint, Beamer (LaTeX-based), or Prezi can be adapted for advanced math presentations, incorporating relevant mathematical symbols and equations. Specialized software like GeoGebra or Mathematica allows for the creation of interactive simulations and visualizations.
4. The Role of Storytelling and Narrative in Advanced Math Presentations
Incorporating storytelling elements can make advanced math presentations more engaging and memorable. The presentation can be structured around a narrative that guides the audience through the mathematical concepts. This approach helps to contextualize the mathematics and make it more relatable to the audience.
5. Current Relevance and Future Trends
The current emphasis on active learning and student-centered approaches continues to shape the evolution of advanced math presentation formats. There's a growing recognition that mathematical communication is a crucial skill for mathematicians and scientists alike. Future trends likely include increased use of interactive technologies, such as virtual reality and augmented reality, to create immersive and engaging learning experiences. Furthermore, the development of sophisticated AI tools might allow for personalized feedback and adaptive learning pathways in advanced mathematics courses.
Conclusion:
Effective advanced math presentation formats are crucial for conveying complex ideas clearly and engagingly. The shift from traditional lecture-based approaches to more interactive and visually driven methods has significantly improved the learning experience. By carefully considering the elements of clarity, precision, visual aids, structure, engagement, accessibility, and technology integration, mathematicians and educators can create presentations that foster deep understanding and appreciation of advanced mathematical concepts. Continued innovation in technology and pedagogical approaches will further refine advanced math presentation formats, ensuring that these crucial ideas are effectively communicated to a wide audience.
FAQs:
1. What is the best software for creating advanced math presentations? The best software depends on your needs and skills. LaTeX is excellent for typesetting, while PowerPoint, Beamer, and Prezi offer versatile presentation formats. Specialized software like GeoGebra or Mathematica excels for interactive elements.
2. How can I make my advanced math presentation more engaging? Incorporate interactive elements (polls, questions), use storytelling, vary your presentation style (visuals, examples, anecdotes), and encourage audience participation.
3. How important are visual aids in advanced math presentations? Visual aids are crucial for clarifying complex ideas. Diagrams, graphs, animations, and simulations can make abstract concepts more concrete and easier to understand.
4. How can I ensure my advanced math presentation is accessible to all students? Use clear and concise language, provide alternative formats for presenting information (audio descriptions, transcripts), and consider the learning styles of diverse students.
5. What are some common mistakes to avoid in advanced math presentations? Avoid overwhelming the audience with too much information, using jargon without explanation, and relying solely on abstract symbols without context.
6. How can I practice my advanced math presentation effectively? Practice your presentation multiple times, get feedback from peers, and time yourself to ensure you stay within the allotted time.
7. How can I incorporate technology effectively into my advanced math presentation? Use technology thoughtfully, focusing on enhancing understanding rather than overwhelming the audience with unnecessary bells and whistles.
8. What are some examples of effective advanced math presentations I can find online? Search for "advanced mathematics lectures" or "mathematical presentations" on platforms like YouTube or academic websites. Many universities post recordings of their lectures.
9. How can I assess the effectiveness of my advanced math presentation? Use feedback from the audience, observe audience engagement during the presentation, and consider using post-presentation quizzes or surveys to gauge learning outcomes.
Related Articles:
1. "Effective Use of Visualizations in Advanced Mathematics Teaching": Explores different types of visual aids and their application in enhancing comprehension of complex mathematical concepts.
2. "The Role of Storytelling in Communicating Advanced Mathematics": Discusses the power of narrative in making abstract concepts more relatable and memorable.
3. "Interactive Technologies for Enhancing Advanced Mathematics Learning": Examines the use of software and hardware for creating immersive and engaging learning experiences.
4. "Accessibility in Advanced Mathematics Education: Strategies for Inclusive Teaching": Focuses on creating inclusive learning environments that cater to diverse learners.
5. "Optimizing Mathematical Notation for Improved Clarity in Presentations": Provides guidelines for using mathematical notation effectively and consistently.
6. "LaTeX for Advanced Mathematical Presentations: A Comprehensive Guide": Offers a detailed tutorial on using LaTeX for creating professional-looking mathematical documents and presentations.
7. "Best Practices for Designing Engaging PowerPoint Presentations for Advanced Mathematics": Provides tips and techniques for creating visually appealing and informative PowerPoint presentations.
8. "The Impact of Active Learning Strategies on Student Outcomes in Advanced Mathematics": Examines the effects of student-centered learning approaches on mathematical understanding and problem-solving skills.
9. "Assessing Learning Outcomes in Advanced Mathematics: Methods and Best Practices": Provides different assessment methods to measure the effectiveness of teaching and learning of advanced mathematical concepts.
Publisher: The International Journal of Mathematical Education. The journal is a highly respected peer-reviewed publication with a strong reputation for publishing high-quality research on mathematics education and related topics, including pedagogical approaches and effective communication strategies. Their authority is established through rigorous peer review processes and a focus on evidence-based practices in mathematics education.
Editor: Professor David Chen, PhD in Mathematics, renowned for his expertise in mathematical pedagogy and assessment. Professor Chen's extensive experience in editing scholarly publications lends significant credibility to the article and its findings.
advanced math presentation format: Transition to Advanced Mathematics Danilo R. Diedrichs, Stephen Lovett, 2022-05-22 This unique and contemporary text not only offers an introduction to proofs with a view towards algebra and analysis, a standard fare for a transition course, but also presents practical skills for upper-level mathematics coursework and exposes undergraduate students to the context and culture of contemporary mathematics. The authors implement the practice recommended by the Committee on the Undergraduate Program in Mathematics (CUPM) curriculum guide, that a modern mathematics program should include cognitive goals and offer a broad perspective of the discipline. Part I offers: An introduction to logic and set theory. Proof methods as a vehicle leading to topics useful for analysis, topology, algebra, and probability. Many illustrated examples, often drawing on what students already know, that minimize conversation about doing proofs. An appendix that provides an annotated rubric with feedback codes for assessing proof writing. Part II presents the context and culture aspects of the transition experience, including: 21st century mathematics, including the current mathematical culture, vocations, and careers. History and philosophical issues in mathematics. Approaching, reading, and learning from journal articles and other primary sources. Mathematical writing and typesetting in LaTeX. Together, these Parts provide a complete introduction to modern mathematics, both in content and practice. Table of Contents Part I - Introduction to Proofs Logic and Sets Arguments and Proofs Functions Properties of the Integers Counting and Combinatorial Arguments Relations Part II - Culture, History, Reading, and Writing Mathematical Culture, Vocation, and Careers History and Philosophy of Mathematics Reading and Researching Mathematics Writing and Presenting Mathematics Appendix A. Rubric for Assessing Proofs Appendix B. Index of Theorems and Definitions from Calculus and Linear Algebra Bibliography Index Biographies Danilo R. Diedrichs is an Associate Professor of Mathematics at Wheaton College in Illinois. Raised and educated in Switzerland, he holds a PhD in applied mathematical and computational sciences from the University of Iowa, as well as a master’s degree in civil engineering from the Ecole Polytechnique Fédérale in Lausanne, Switzerland. His research interests are in dynamical systems modeling applied to biology, ecology, and epidemiology. Stephen Lovett is a Professor of Mathematics at Wheaton College in Illinois. He holds a PhD in representation theory from Northeastern University. His other books include Abstract Algebra: Structures and Applications (2015), Differential Geometry of Curves and Surfaces, with Tom Banchoff (2016), and Differential Geometry of Manifolds (2019). |
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advanced math presentation format: Presentation Zen Garr Reynolds, 2009-04-15 FOREWORD BY GUY KAWASAKI Presentation designer and internationally acclaimed communications expert Garr Reynolds, creator of the most popular Web site on presentation design and delivery on the Net — presentationzen.com — shares his experience in a provocative mix of illumination, inspiration, education, and guidance that will change the way you think about making presentations with PowerPoint or Keynote. Presentation Zen challenges the conventional wisdom of making slide presentations in today’s world and encourages you to think differently and more creatively about the preparation, design, and delivery of your presentations. Garr shares lessons and perspectives that draw upon practical advice from the fields of communication and business. Combining solid principles of design with the tenets of Zen simplicity, this book will help you along the path to simpler, more effective presentations. |
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advanced math presentation format: Approximate Number System and Mathematics Jingguang Li, Xinlin Zhou, Marcus Lindskog, 2019-11-25 Humans process quantity information without the aid of language or symbols to guide a variety of everyday life decisions. The cognitive system that supports this intuitive skill is often referred to as the approximate number system (ANS). It has been argued that the ANS serves as the foundation of the formal symbolic number system—mathematics. Abundant empirical evidence is supportive of this view: acuity of the ANS is positively correlated with symbolic math performance, training of the ANS may cause improvements in symbolic math performance, and the ANS and symbolic number processing may share a common neural underpinning. However, recently several theories and empirical data cast doubt on the role of the ANS in symbolic math processing. This e-book aims to advance our understanding of the underlying mechanisms of the overlap between the ANS and mathematics. |
advanced math presentation format: Problem-Based Learning for Math & Science Diane L. Ronis, 2008 This title provides teachers with the tools they need to help students learn in an integrated, real-world instructional environment. |
advanced math presentation format: Advanced Mathematics for Applications Andrea Prosperetti, 2011-01-06 The partial differential equations that govern scalar and vector fields are the very language used to model a variety of phenomena in solid mechanics, fluid flow, acoustics, heat transfer, electromagnetism and many others. A knowledge of the main equations and of the methods for analyzing them is therefore essential to every working physical scientist and engineer. Andrea Prosperetti draws on many years' research experience to produce a guide to a wide variety of methods, ranging from classical Fourier-type series through to the theory of distributions and basic functional analysis. Theorems are stated precisely and their meaning explained, though proofs are mostly only sketched, with comments and examples being given more prominence. The book structure does not require sequential reading: each chapter is self-contained and users can fashion their own path through the material. Topics are first introduced in the context of applications, and later complemented by a more thorough presentation. |
advanced math presentation format: Multiplying and Dividing Fractions, Grades 5 - 8 Schyrlet Cameron, Carolyn Craig, 2013-01-02 Focus on the essentials with Multiplying and Dividing Fractions! Aligned to Common Core State Standards, this systematic workbook focuses specifically on one skill at a time, gradually building towards math mastery. It includes student practice pages; teacher pages with standards, vocabulary, examples, and enrichment activities; learning stations; a glossary; and more! 64 pages |
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advanced math presentation format: Teaching Mathematics to Able Children Valsa Koshy, 2012-10-12 This book enables teachers to effectively meet the needs of their most able mathematicians. Using a tried and tested set of principles developed and used by The Able Children's Education Unit at Brunel University, the author demonstrates how to: identify high mathematical ability in a pupil, plan suitably challenging activities and teach them most effectively within the existing National Numeracy framework, make the most of the classroom resources available, including ICT and external agencies, implement strategies for differentiation, illustrated with real-life classroom examples. Accessible in style and featuring practical case studies throughout, this book will give teachers and student teachers the confidence and knowledge to effectively challenge and develop the skills of the most able mathematician. |
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advanced math presentation format: Mathematical Tapas Jean-Baptiste Hiriart-Urruty, 2017-11-24 This textbook presents a collection of interesting and sometimes original exercises for motivated students in mathematics. Written in the same spirit as Volume 1, this second volume of Mathematical Tapas includes carefully selected problems at the intersection between undergraduate and graduate level. Hints, answers and (sometimes) comments are presented alongside the 222 “tapas” as well as 8 conjectures or open problems. Topics covered include metric, normed, Banach, inner-product and Hilbert spaces; differential calculus; integration; matrices; convexity; and optimization or variational problems. Suitable for advanced undergraduate and graduate students in mathematics, this book aims to sharpen the reader’s mathematical problem solving abilities. |
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advanced math presentation format: PowerPoint 2013 Absolute Beginner's Guide Patrice-Anne Rutledge, 2013-02-06 Make the most of PowerPoint 2013–without becoming a technical expert! This book is the fastest way to learn PowerPoint and use it to create dynamic, eye-catching presentations that you can deliver in person or on the Web. Even if you’ve never used PowerPoint before, you’ll learn how to do what you want, one incredibly clear and easy step at a time. PowerPoint has never, ever been this simple! Who knew how simple PowerPoint® 2013 could be? This is the easiest, most practical beginner’s guide to using Microsoft’s incredibly powerful new PowerPoint 2013 presentation software...simple, reliable instructions for doing everything you really want to do! Here’s a small sample of what you’ll learn: Quickly move from learning PowerPoint 2013 basics to creating and delivering polished, dynamic presentations Communicate data visually using pictures, shapes, charts, and SmartArt Design sophisticated presentations even faster with themes, variants, and custom layouts Enliven your presentations with animation, audio, and video, including online video from websites such as YouTube Collaborate on presentations using SkyDrive, Microsoft’s online file-sharing solution Create MP4 and Windows Media videos from your PowerPoint presentations Publish and deliver your presentations on the Web Create and edit PowerPoint presentations on the go, using the PowerPoint Web App Access your presentations from a tablet or smartphone Expand the power of PowerPoint with third-party tools And much more... Patrice-Anne Rutledgeis a business technology author and consultant who specializes in teaching others to maximize the power of new technologies. Patrice has used–and has trained others to use–PowerPoint for many years, designing presentations for meetings, seminars, trade shows, and worldwide audiences. She is also the author of five previous books about PowerPoint for Pearson Education. She can be reached through her website at www.patricerutledge.com. Category: Microsoft Office Covers: PowerPoint 2013 User Level: Beginning |
advanced math presentation format: Videogame Cultures and the Future of Interactive Entertainment Daniel Riha, 2020-04-14 This volume was first published by Inter-Disciplinary Press in 2010. |
advanced math presentation format: Mathematical Solitaires and Games Benjamin Schwartz, 2019-03-19 A collection of solitaires and games which include sections on Solitiare Games like Knights Interchanges and The Stacked Playing Cards; Competitive games including SIM as a game of Chance and A winning Opening in Reverse Hex and also Solitaire games with toys like the Tower of Hanoi and Triangular Puzzle Peg. |
advanced math presentation format: Mathability Michael Cain, 2021-09-03 Mathability gives students the experience and ability to analyze and solve real-life mathematical problems, and explain their methods for arriving at the solution. Mathability is an excellent resource for preparing students for the performance tasks of standards-based tests. The six units in this book each have 10 problems that deal with a variety of real-life situations, such as those at a construction site, on vacation, in a business, and at home. The open-ended problems let students hone their skills in geometry, probability, percentages, use of charts, algebra, number relations/operations, money, and decimals. Open-ended performance tasks have become a mainstay of standards-based testing. It is one of the tasks that most students perform at below proficiency level. Much of this low performance is due to a student's lack of experience with writing explanations of the mathematics that made it possible to solve the problem. Mathabilty presents a systematic approach that will lead students to proficiency. Within each unit, this book provides four different levels of problems. The Step-by-Step Level leads a student through the problem and provides a format for presenting their answers. The Prompted Level provides the format for presenting the solution and hints on how to solve the problem. The Independent Level allows students to solve and explain their answers on their own, and the Challenge Level problems present a venue for gifted and talented students to push their skills to a higher level. Grades 5-8 |
advanced math presentation format: Linear Mathematics Patricia Clark Kenschaft, 2013-06-19 Versatile, time-tested, and widely used, this text requires only two years of high school algebra. Suitable for a traditional one-year course in linear algebra or a more streamlined single-semester course, it can also serve for courses in finite mathematics or mathematics in the contemporary world. Each chapter features sample tests with answers. 1978 edition. |
advanced math presentation format: You're the Professor, what Next? Bettye Anne Case, 1994 |
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advanced math presentation format: The Handbook of Mathematical Cognition Jamie I.D. Campbell, 2005-08-15 How does the brain represent number and make mathematical calculations? What underlies the development of numerical and mathematical abilities? What factors affect the learning of numerical concepts and skills? What are the biological bases of number knowledge? Do humans and other animals share similar numerical representations and processes? What underlies numerical and mathematical disabilities and disorders, and what is the prognosis for rehabilitation? These questions are the domain of mathematical cognition, the field of research concerned with the cognitive and neurological processes that underlie numerical and mathematical abilities. The Handbook of Mathematical Cognition is a collection of 27 essays by leading researchers that provides a comprehensive review of this important research field. |
advanced math presentation format: Tools of the Trade Paul J. Sally (Jr.), 2008 This book provides a transition from the formula-full aspects of the beginning study of college level mathematics to the rich and creative world of more advanced topics. It is designed to assist the student in mastering the techniques of analysis and proof that are required to do mathematics. Along with the standard material such as linear algebra, construction of the real numbers via Cauchy sequences, metric spaces and complete metric spaces, there are three projects at the end of each chapter that form an integral part of the text. These projects include a detailed discussion of topics such as group theory, convergence of infinite series, decimal expansions of real numbers, point set topology and topological groups. They are carefully designed to guide the student through the subject matter. Together with numerous exercises included in the book, these projects may be used as part of the regular classroom presentation, as self-study projects for students, or for Inquiry Based Learning activities presented by the students.--BOOK JACKET. |
advanced math presentation format: A Full Axiomatic Development of High School Geometry David M. Clark, Samrat Pathania, 2023-02-13 This textbook provides a full and complete axiomatic development of exactly that part of plane Euclidean geometry that forms the standard content of high school geometry. It begins with a set of points, a measure of distance between pairs of points and ten simple axioms. From there the notions of length, area and angle measure, along with congruence and similarity, are carefully defined and their properties proven as theorems. It concludes with a proof of the consistency of the axioms used and a full description of their models. It is provided in guided inquiry (inquiry-based) format with the intention that students will be active learners, proving the theorems and presenting their proofs to their class with the instructor as a mentor and a guide. The book is written for graduate and advanced undergraduate students interested in teaching secondary school mathematics, for pure math majors interested in learning about the foundations of geometry, for faculty preparing future secondary school teachers and as a reference for any professional mathematician. It is written with the hope of anchoring K-12 geometry in solid modern mathematics, thereby fortifying the teaching of secondary and tertiary geometry with a deep understanding of the subject. |
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advanced math presentation format: Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts David C. Geary, Daniel B. Berch, Robert Ochsendorf, Kathleen Mann Koepke, 2017-08-01 Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts focuses on typical and atypical learning of complex arithmetic skills and higher-order math concepts. As part of the series Mathematical Cognition and Learning, this volume covers recent advances in the understanding of children's developing competencies with whole-number arithmetic, fractions, and rational numbers. Each chapter covers these topics from multiple perspectives, including genetic disorders, cognition, instruction, and neural networks. - Covers innovative measures and recent methodological advances in mathematical thinking and learning - Contains contributions that improve instruction and education in these domains - Informs policy aimed at increasing the level of mathematical proficiency in the general public |
advanced math presentation format: Resources in Education , 1995 |
advanced math presentation format: The Parallel Curriculum in the Classroom, Book 2 Carol Ann Tomlinson, Sandra N. Kaplan, Jeanne H. Purcell, Jann H. Leppien, Deborah E. Burns, Cindy A. Strickland, 2005-09-08 Learn to design exemplary Parallel Curriculum Units from the experts—classroom teachers! What is the best way to incorporate the four parallels into your Parallel Curriculum Unit? How do teachers using the Parallel Curriculum Model (PCM) craft units based on the PCM and why do they utilize certain elements and downplay others? What does a complete Parallel Curriculum Unit look like? This compilation of Parallel Curriculum Units provides a close-up look into the development of PCM units and how those units work in actual classroom settings. The Parallel Curriculum in the Classroom, Book 2 reflects a variety of Parallel Curriculum units spanning primary, elementary, middle, and high school levels of instruction and encompassing the disciplines of social studies, science, art, math, and language arts. Across each unit, the authors present a framework of three essential components in an effective Parallel Curriculum Unit: The big picture of grade level, subject, goals, and standards The unpacking, or step-by-step explanation of the unit The reasoning behind the unit design Whether using each parallel independently or combining all four parallels into curriculum design, teachers will find the units included here are exemplary models for creating their own parallel curriculum units. Use them as professional development tools to help plan thoughtful curriculum based upon the Parallel Curriculum Model! |
advanced math presentation format: A Guide for Implementing a Patent Strategy Donald S. Rimai, 2018-11-30 This book provides a strategic framework for cost efficient engineering of market moving patent portfolios by organizing patent engineering efforts around the problems that innovators solve for their customers and not the technologies developed to solve these problems. Patents are a vital asset in the modern business world. They allow patent holders to introduce new products in to a market while deterring other market players from simply copying innovative features without making comparable investments in research and development. In years past, a few patents may have provided adequate protection. That is no longer the case. In today's world, it is critical that innovative companies protect the features of their products that give them a competitive advantage with a family or portfolio of patents that are strategically generated to protect the market position of the patent holder. A patent portfolio that deters competitors from introducing competitive products in a timely manner can be worth billions of dollars. Anything less than this is an expensive and possibly fatal distraction. This book provides a strategic framework for cost efficient engineering of patent portfolios that protect your investments in research and development and that extend the market advantages that these investments provide. The book illustrates the use of the problem centric framework to enable the efficient creation of individual patents and patent portfolios that have significant value in and by themselves and allow a company to control its product market. It also introduces the concept of a patent engineer whose role it is to organize input from legal, business and technical communities and organize portfolios and patents using the problem centric framework. |
advanced math presentation format: Advanced Web Applications and Progressing E-Learning 2.0 Technologies in Higher Education Pelet, Jean-Éric, 2019-02-22 With the relevant use of internet technologies such as Web 2.0 tools, e-learning can be a way to teach students anywhere at any time. Quality internet connection and a mobile device, such as a smartphone or tablet, offer students the capacities to grow along with knowledge, lectures, and helpful advice for learning in good conditions. Advanced Web Applications and Progressing E-Learning 2.0 Technologies in Higher Education is an essential reference source providing relevant theoretical frameworks and the latest empirical research findings in e-learning and mobile learning in modern higher education and its applications in other professional fields such as medical education. Featuring research on topics such as m-learning, knowledge management technologies, computer graphics, image processing, and web-based communities, this book is ideally designed for professionals and researchers seeking coverage on education, adult education, sociology, computer science, and information technology. |
advanced math presentation format: The Software Encyclopedia 2000 Bowker Editorial Staff, 2000-05 |
advanced math presentation format: Tools of American Mathematics Teaching, 1800–2000 Peggy Aldrich Kidwell, Amy Ackerberg-Hastings, David Lindsay Roberts, 2008-08-11 From the blackboard to the graphing calculator, the tools developed to teach mathematics in America have a rich history shaped by educational reform, technological innovation, and spirited entrepreneurship. In Tools of American Mathematics Teaching, 1800–2000, Peggy Aldrich Kidwell, Amy Ackerberg-Hastings, and David Lindsay Roberts present the first systematic historical study of the objects used in the American mathematics classroom. They discuss broad tools of presentation and pedagogy (not only blackboards and textbooks, but early twentieth-century standardized tests, teaching machines, and the overhead projector), tools for calculation, and tools for representation and measurement. Engaging and accessible, this volume tells the stories of how specific objects such as protractors, geometric models, slide rules, electronic calculators, and computers came to be used in classrooms, and how some disappeared. |
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