Competencia Clave Matematicas N2

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RETRACTED BOOK: 151 Trading Strategies

Author : Zura Kakushadze
Publisher : Springer
ISBN 13 : 3030027929
Total Pages : 480 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis RETRACTED BOOK: 151 Trading Strategies by : Zura Kakushadze

Download or read book RETRACTED BOOK: 151 Trading Strategies written by Zura Kakushadze and published by Springer. This book was released on 2018-12-13 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides detailed descriptions, including more than 550 mathematical formulas, for more than 150 trading strategies across a host of asset classes and trading styles. These include stocks, options, fixed income, futures, ETFs, indexes, commodities, foreign exchange, convertibles, structured assets, volatility, real estate, distressed assets, cash, cryptocurrencies, weather, energy, inflation, global macro, infrastructure, and tax arbitrage. Some strategies are based on machine learning algorithms such as artificial neural networks, Bayes, and k-nearest neighbors. The book also includes source code for illustrating out-of-sample backtesting, around 2,000 bibliographic references, and more than 900 glossary, acronym and math definitions. The presentation is intended to be descriptive and pedagogical and of particular interest to finance practitioners, traders, researchers, academics, and business school and finance program students.

STEM Project-Based Learning

Author : Robert M. Capraro
Publisher : Springer Science & Business Media
ISBN 13 : 9462091439
Total Pages : 198 pages
Book Rating : 4.4/5 (62 download)

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Book Synopsis STEM Project-Based Learning by : Robert M. Capraro

Download or read book STEM Project-Based Learning written by Robert M. Capraro and published by Springer Science & Business Media. This book was released on 2013-04-20 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of Project-Based Learning (PBL) presents an original approach to Science, Technology, Engineering and Mathematics (STEM) centric PBL. We define PBL as an “ill-defined task with a well-defined outcome,” which is consistent with our engineering design philosophy and the accountability highlighted in a standards-based environment. This model emphasizes a backward design that is initiated by well-defined outcomes, tied to local, state, or national standard that provide teachers with a framework guiding students’ design, solving, or completion of ill-defined tasks. This book was designed for middle and secondary teachers who want to improve engagement and provide contextualized learning for their students. However, the nature and scope of the content covered in the 14 chapters are appropriate for preservice teachers as well as for advanced graduate method courses. New to this edition is revised and expanded coverage of STEM PBL, including implementing STEM PBL with English Language Learners and the use of technology in PBL. The book also includes many new teacher-friendly forms, such as advanced organizers, team contracts for STEM PBL, and rubrics for assessing PBL in a larger format.

Human-Computer Interaction

Author : Pablo H. Ruiz
Publisher : Springer Nature
ISBN 13 : 303037386X
Total Pages : 451 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Human-Computer Interaction by : Pablo H. Ruiz

Download or read book Human-Computer Interaction written by Pablo H. Ruiz and published by Springer Nature. This book was released on 2019-12-14 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 5th Iberoamerican Workshop on Human-Computer Interaction, HCI-Collab 2019, held in Puebla, Mexico, in June 2019. The 31 full papers presented in this volume were carefully reviewed and selected from 55 submissions. The papers describe models, design patterns, implementations, evaluations of existing applications, and systemic reviews; all of which are very important aspects within HCI.

Qualitative Choice Analysis

Author : Kenneth Train
Publisher : MIT Press
ISBN 13 : 9780262200554
Total Pages : 282 pages
Book Rating : 4.2/5 (5 download)

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Book Synopsis Qualitative Choice Analysis by : Kenneth Train

Download or read book Qualitative Choice Analysis written by Kenneth Train and published by MIT Press. This book was released on 1986 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses two significant research areas in an interdependent fashion. It is first of all a comprehensive but concise text that covers the recently developed and widely applicable methods of qualitative choice analysis, illustrating the general theory through simulation models of automobile demand and use. It is also a detailed study of automobile demand and use, presenting forecasts based on these powerful new techniques. The book develops the general principles that underlie qualitative choice models that are now being applied in numerous fields in addition to transportation, such as housing, labor, energy, communications, and criminology. The general form, derivation, and estimation of qualitative choice models are explained, and the major models - logit, probit, and GEV - are discussed in detail. And continuous/discrete models are introduced. In these, qualitative choice methods and standard regression techniques are combined to analyze situations that neither alone can accurately forecast. Summarizing previous research on auto demand, the book shows how qualitative choice methods can be used by applying them to specific auto-related decisions as the aggregate of individuals' choices. The simulation model that is constructed is a significant improvement over older models, and should prove more useful to agencies and organizations requiring accurate forecasting of auto demand and use for planning and policy development. The book concludes with an actual case study based on a model designed for the investigations of the California Energy Commission. Kenneth Train is Visiting Associate Professor in Economics at the University of California, Berkeley, and Director of Economic Research at Cambridge Systematics, Inc., also in Berkeley. Qualitative Choice Analysisis included in The MIT Press Transportation Studies Series, edited by Marvin L. Manheim.

Understanding Young People's Science Aspirations

Author : Louise Archer
Publisher : Taylor & Francis
ISBN 13 : 1317644093
Total Pages : 198 pages
Book Rating : 4.3/5 (176 download)

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Book Synopsis Understanding Young People's Science Aspirations by : Louise Archer

Download or read book Understanding Young People's Science Aspirations written by Louise Archer and published by Taylor & Francis. This book was released on 2016-08-12 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding Young People's Science Aspirations offers new evidence and understanding about how young people develop their aspirations for education, learning and, ultimately, careers in science. Integrating new findings from a major research study with a wide ranging review of existing international literature, it brings a distinctive sociological analytic lens to the field of science education. The book offers an explanation of how some young people do become dedicated to follow science, and what might be done to increase and broaden this population, exploring the need for increased scientific literacy among citizens to enable them to exercise agency and lead a life underpinned by informed decisions about their own health and their environment. Key issues considered include: why we should study young people’s science aspirations the role of families, social class and science capital in career choice the links between ethnicity, gender and science aspirations the implications for research, policy and practice. Set in the context of widespread international policy concern about the urgent need to improve, increase and diversify participation in post-16 science, this key text considers how we must encourage a supply of appropriately qualified future scientists and workers in STEM industries and ensure a high level of scientific literacy in society. It is a crucial read for all training and practicing science teachers, education researchers and academics, as well as anyone invested in the desire to help fulfil young people’s science aspirations.

Setting the Standard for Project Based Learning

Author : John Larmer
Publisher : ASCD
ISBN 13 : 1416620907
Total Pages : 258 pages
Book Rating : 4.4/5 (166 download)

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Book Synopsis Setting the Standard for Project Based Learning by : John Larmer

Download or read book Setting the Standard for Project Based Learning written by John Larmer and published by ASCD. This book was released on 2015-05-26 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book take readers through the step-by-step process of how to create, implement, and assess project based learning (PBL) using a classroom-tested framework. Also included are chapters for school leaders on implementing PBL system wide and the use of PBL in informal settings.

Jewish Mysticism

Author :
Publisher : Westminster John Knox Press
ISBN 13 : 9780664224578
Total Pages : 318 pages
Book Rating : 4.2/5 (245 download)

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Book Synopsis Jewish Mysticism by :

Download or read book Jewish Mysticism written by and published by Westminster John Knox Press. This book was released on 2001-01-01 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a historical overview of the movements and trends in Jewish mysticism including Hekhaloth mysticism, classical and Lurianic Kabbalah, Shabbetai Zevi, and Hasidism, seeking to define and explain how the various currents of tradition throughout the centuries are related. Original.

Optimal Regulation

Author : Kenneth Train
Publisher : Mit Press
ISBN 13 : 9780262200844
Total Pages : 338 pages
Book Rating : 4.2/5 (8 download)

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Book Synopsis Optimal Regulation by : Kenneth Train

Download or read book Optimal Regulation written by Kenneth Train and published by Mit Press. This book was released on 1991 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Regulation addresses the central issue of regulatory economics - how toregulate firms in a way that induces them to produce and price "optimally." It synthesizes the majorfindings of an extensive theoretical literature on what constitutes optimality in various situationsand which regulatory mechanisms can be used to achieve it. It is the first text to provide aunified, modern, and nontechnical treatment of the field.The book includes models for regulatingoptimal output, tariffs, and surplus subsidy schemes, and presents all of the material graphically,with clear explanations of often highly technical topics.Kenneth E. Train is Associate AdjunctProfessor in the Department of Economics and Graduate School of Public Policy at the University ofCalifornia, Berkeley. He is also Principal of the firm Cambridge Systematics.Topics include: Thecost structure of natural monopoly (economies of scale and scope). Characterization of firstandsecond-best optimality. Surplus subsidy schemes for attaining first-best optimality. Ramsey pricesand the Vogelsang-Finsinger mechanism for attaining them. Time-ofuse (TOU) prices and Riordan'smechanisms for attaining the optimal TOU prices' Multipart and self-selecting tariffs, and Sibley'smethod for using self-selecting tariffs to achieve optimality. The Averch-Johnson model of howrate-of-return regulation induces inefficiencies. Analysis of regulation based on the firm's returnon Output, costs, or sales. Price-cap regulation. Regulatory treatment of uncertainty and its impacton the firm's behavior. Methods of attaining optimality without direct regulation (contestability,auctioning the monopoly franchise.)

Handbook of Research Design in Mathematics and Science Education

Author : Anthony Edward Kelly
Publisher : Routledge
ISBN 13 : 1135705828
Total Pages : 984 pages
Book Rating : 4.1/5 (357 download)

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Book Synopsis Handbook of Research Design in Mathematics and Science Education by : Anthony Edward Kelly

Download or read book Handbook of Research Design in Mathematics and Science Education written by Anthony Edward Kelly and published by Routledge. This book was released on 2012-10-12 with total page 984 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Research Design in Mathematics and Science Education is based on results from an NSF-supported project (REC 9450510) aimed at clarifying the nature of principles that govern the effective use of emerging new research designs in mathematics and science education. A primary goal is to describe several of the most important types of research designs that: * have been pioneered recently by mathematics and science educators; * have distinctive characteristics when they are used in projects that focus on mathematics and science education; and * have proven to be especially productive for investigating the kinds of complex, interacting, and adapting systems that underlie the development of mathematics or science students and teachers, or for the development, dissemination, and implementation of innovative programs of mathematics or science instruction. The volume emphasizes research designs that are intended to radically increase the relevance of research to practice, often by involving practitioners in the identification and formulation of the problems to be addressed or in other key roles in the research process. Examples of such research designs include teaching experiments, clinical interviews, analyses of videotapes, action research studies, ethnographic observations, software development studies (or curricula development studies, more generally), and computer modeling studies. This book's second goal is to begin discussions about the nature of appropriate and productive criteria for assessing (and increasing) the quality of research proposals, projects, or publications that are based on the preceding kind of research designs. A final objective is to describe such guidelines in forms that will be useful to graduate students and others who are novices to the fields of mathematics or science education research. The NSF-supported project from which this book developed involved a series of mini conferences in which leading researchers in mathematics and science education developed detailed specifications for the book, and planned and revised chapters to be included. Chapters were also field tested and revised during a series of doctoral research seminars that were sponsored by the University of Wisconsin's OERI-supported National Center for Improving Student Learning and Achievement in Mathematics and Science. In these seminars, computer-based videoconferencing and www-based discussion groups were used to create interactions in which authors of potential chapters served as "guest discussion leaders" responding to questions and comments from doctoral students and faculty members representing more than a dozen leading research universities throughout the USA and abroad. A Web site with additional resource materials related to this book can be found at http://www.soe.purdue.edu/smsc/lesh/ This internet site includes directions for enrolling in seminars, participating in ongoing discussion groups, and submitting or downloading resources which range from videotapes and transcripts, to assessment instruments or theory-based software, to publications or data samples related to the research designs being discussed.

Mathematics Education as a Research Domain: A Search for Identity

Author : Anna Sierpinska
Publisher : Springer
ISBN 13 : 9401151946
Total Pages : 244 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Mathematics Education as a Research Domain: A Search for Identity by : Anna Sierpinska

Download or read book Mathematics Education as a Research Domain: A Search for Identity written by Anna Sierpinska and published by Springer. This book was released on 2013-03-14 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: No one disputes how important it is, in today's world, to prepare students to un derstand mathematics as well as to use and communicate mathematics in their future lives. That task is very difficult, however. Refocusing curricula on funda mental concepts, producing new teaching materials, and designing teaching units based on 'mathematicians' common sense' (or on logic) have not resulted in a better understanding of mathematics by more students. The failure of such efforts has raised questions suggesting that what was missing at the outset of these proposals, designs, and productions was a more profound knowledge of the phenomena of learning and teaching mathematics in socially established and culturally, politically, and economically justified institutions - namely, schools. Such knowledge cannot be built by mere juxtaposition of theories in disci plines such as psychology, sociology, and mathematics. Psychological theories focus on the individual learner. Theories of sociology of education look at the general laws of curriculum development, the specifics of pedagogic discourse as opposed to scientific discourse in general, the different possible pedagogic rela tions between the teacher and the taught, and other general problems in the inter face between education and society. Mathematics, aside from its theoretical contents, can be looked at from historical and epistemological points of view, clarifying the genetic development of its concepts, methods, and theories. This view can shed some light on the meaning of mathematical concepts and on the difficulties students have in teaching approaches that disregard the genetic development of these concepts.

Soil and Sediment Remediation

Author : Piet Lens
Publisher : IWA Publishing
ISBN 13 : 1843391007
Total Pages : 545 pages
Book Rating : 4.8/5 (433 download)

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Book Synopsis Soil and Sediment Remediation by : Piet Lens

Download or read book Soil and Sediment Remediation written by Piet Lens and published by IWA Publishing. This book was released on 2005-09-30 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Soil and Sediment Remediation discusses in detail a whole set of remediative technologies currently available to minimise their impact. Technologies for the treatment of soils and sediments in-situ (landfarming, bioscreens, bioventing, nutrient injection, phytoremediation) and ex-situ (landfarming, bio-heap treatment, soil suspension reactor) will be discussed. The microbiological, process technological and socio-economical aspects of these technologies will be addressed. Special attention will be given to novel biotechnological processes that utilise sulfur cycle conversions, e.g. sulfur and heavy metal removal from soils. Also the potential of phytoremediation will be highlighted. In addition, treatment schemes for the clean-up of polluted megasites, e.g. harbours and Manufactured Gaswork Plants (MGP), will be elaborated. The aim of Soil and Sediment Remediation is to introduce the reader in: the biogeochemical characteristics of soil and sediments- new techniques to study soil/sediment processes (molecular probes, microelectrodes, NMR) clean up technologies for soils polluted with organic (PAH, NAPL, solvents) or inorganic (heavy metals) pollutants- preventative and remediative strategies and technologies available in environmental engineering novel process applications and bioreactor designs for bioremediation the impact of soil pollution on society and its economic importance.

First Symposium on Artificial Intelligence for Mathematics Education. Book of Abstracts (AI4ME 2020)

Author : Philippe R. Richard
Publisher : Ed. Universidad de Cantabria
ISBN 13 :
Total Pages : 58 pages
Book Rating : 4./5 ( download)

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Book Synopsis First Symposium on Artificial Intelligence for Mathematics Education. Book of Abstracts (AI4ME 2020) by : Philippe R. Richard

Download or read book First Symposium on Artificial Intelligence for Mathematics Education. Book of Abstracts (AI4ME 2020) written by Philippe R. Richard and published by Ed. Universidad de Cantabria. This book was released on 2020-10-29 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: The digital revolution that we have experienced since the last quarter of the twentieth century has had some influence, yet to be analysed and extended, on the way mathematics is made, taught and learned. While the rate of innovation in these technologies is growing exponentially, the potential impact of most information technologies on mathematical education remains to be fully exploited. In particular, several authoritative voices point out that the technology that will most likely transform education in the coming years is artificial intelligence (AI). Interestingly, today AI is mainly associated with technologies to automate tasks and lower costs, thus serving primarily the interests of the political-administrative, industrial and commercial world. In this scenario, the world of education and, more specifically, didactics, appears at best as a mere user of AI techniques developed in other fields, forgetting that AI should play a much more relevant role here, serving the human being who is doing his work as a mathematician or who is learning mathematics. The AI4ME symposium at the International Centre for Mathematical Meetings (CIEM) in Castro Urdiales is a space for research and reflection to better understand the interconnected challenges of instrumental learning of mathematics and instrumental mathematics, taking advantage of the achievements and opportunities of Artificial Intelligence for Mathematical Education. This book of abstracts gathers the summaries of the talks presented at the symposium, as well as the conclusions of each of the four thematic groups.

Acquisition of Mathematics Concepts and Processes

Author : Richard A. Lesh
Publisher :
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Acquisition of Mathematics Concepts and Processes by : Richard A. Lesh

Download or read book Acquisition of Mathematics Concepts and Processes written by Richard A. Lesh and published by . This book was released on 1983 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Essential Readings in Problem-Based Learning

Author : Andrew Walker
Publisher : Purdue University Press
ISBN 13 : 1612493688
Total Pages : 398 pages
Book Rating : 4.6/5 (124 download)

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Book Synopsis Essential Readings in Problem-Based Learning by : Andrew Walker

Download or read book Essential Readings in Problem-Based Learning written by Andrew Walker and published by Purdue University Press. This book was released on 2015-01-15 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like most good educational interventions, problem-based learning (PBL) did not grow out of theory, but out of a practical problem. Medical students were bored, dropping out, and unable to apply what they had learned in lectures to their practical experiences a couple of years later. Neurologist Howard S. Barrows reversed the sequence, presenting students with patient problems to solve in small groups and requiring them to seek relevant knowledge in an effort to solve those problems. Out of his work, PBL was born. The application of PBL approaches has now spread far beyond medical education. Today, PBL is used at levels from elementary school to adult education, in disciplines ranging across the humanities and sciences, and in both academic and corporate settings. This book aims to take stock of developments in the field and to bridge the gap between practice and the theoretical tradition, originated by Barrows, that underlies PBL techniques.

Making Sense of Factor Analysis

Author : Marjorie A. Pett
Publisher : SAGE
ISBN 13 : 0761919503
Total Pages : 369 pages
Book Rating : 4.7/5 (619 download)

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Book Synopsis Making Sense of Factor Analysis by : Marjorie A. Pett

Download or read book Making Sense of Factor Analysis written by Marjorie A. Pett and published by SAGE. This book was released on 2003-03-21 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many health care practitioners and researchers are aware of the need to employ factor analysis in order to develop more sensitive instruments for data collection. Unfortunately, factor analysis is not a unidimensional approach that is easily understood by even the most experienced of researchers. Making Sense of Factor Analysis: The Use of Factor Analysis for Instrument Development in Health Care Research presents a straightforward explanation of the complex statistical procedures involved in factor analysis. Authors Marjorie A. Pett, Nancy M. Lackey, and John J. Sullivan provide a step-by-step approach to analyzing data using statistical computer packages like SPSS and SAS. Emphasizing the interrelationship between factor analysis and test construction, the authors examine numerous practical and theoretical decisions that must be made to efficiently run and accurately interpret the outcomes of these sophisticated computer programs. This accessible volume will help both novice and experienced health care professionals to Increase their knowledge of the use of factor analysis in health care research Understand journal articles that report the use of factor analysis in test construction and instrument development Create new data collection instruments Examine the reliability and structure of existing health care instruments Interpret and report computer-generated output from a factor analysis run Making Sense of Factor Analysis: The Use of Factor Analysis for Instrument Development in Health Care Research offers a practical method for developing tests, validating instruments, and reporting outcomes through the use of factor analysis. To facilitate learning, the authors provide concrete testing examples, three appendices of additional information, and a glossary of key terms. Ideal for graduate level nursing students, this book is also an invaluable resource for health care researchers.

The Nordic Education Model

Author : Ulf Blossing
Publisher : Springer Science & Business Media
ISBN 13 : 9400771258
Total Pages : 252 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis The Nordic Education Model by : Ulf Blossing

Download or read book The Nordic Education Model written by Ulf Blossing and published by Springer Science & Business Media. This book was released on 2013-10-21 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a detailed analysis of the educational model in Nordic European countries. It describes the traditional idea of education for all, which can be characterized by the right for every child to have an education of equal quality in a common school for all pupils regardless of social class, abilities, gender, or ethnicity. Against this background, The Nordic Education Model traces the rise of neo-liberal policies that have been enacted by those who believe the School for All ideology does not produce the knowledge and skills that students need to succeed in an increasingly competitive and global marketplace. It examines the conflict between these two ideas and shows how neo-liberal technologies affect the Nordic model in different ways. The authors also show how social technologies are being interpreted in different ways in actual school practices. This process of translating national regulations into internal sense builds on the values in the culture to which they are introduced. In the end, this book reveals that a Nordic model can constitute a delicate balance between traditional values, institutionalized practices, and contemporary, neo-liberal forms of governance and policies. It may be argued from a new institutional perspective that the main structures of the Nordic educational model will sustain as long as the deeply rooted Nordic culture survives in the globalised society.

Competencia matemática N3

Author : Miguel Ángel Ladrón de Guevara
Publisher : TUTOR FORMACIÓN
ISBN 13 : 8417943714
Total Pages : 144 pages
Book Rating : 4.4/5 (179 download)

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Book Synopsis Competencia matemática N3 by : Miguel Ángel Ladrón de Guevara

Download or read book Competencia matemática N3 written by Miguel Ángel Ladrón de Guevara and published by TUTOR FORMACIÓN. This book was released on 2020-08-06 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Este Manual es el más adecuado para impartir la Competencia clave "Competencia matemática N3" de los Certificados de Profesionalidad, y cumple fielmente con los contenidos del Real Decreto. Dispone de 154 ejercicios y multitud de ejemplos resueltos; puede solicitar gratuitamente las soluciones a todas las actividades en el email [email protected] Capacidades que se adquieren con este Manual: - Realizar cálculos con distintos tipos de números (racionales e irracionales) y unidades del sistema métrico decimal para resolver problemas relacionados con la vida diaria, comprendiendo su significado. - Resolver problemas empleando métodos algebraicos y operando con expresiones algebraicas, polinómicas y racionales así como con la proporcionalidad (directa e inversa) y los porcentajes (regla de tres simple y compuesta, intereses; etc.). - Resolver problemas mediante ecuaciones de primer y segundo grado, operar con matrices en el contexto de problemas profesionales y resolver problemas de longitudes, áreas y volúmenes utilizando modelos geométricos. - Representar gráficamente funciones matemáticas e interpretar gráficas en problemas relacionados con la vida cotidiana y fenómenos naturales y tecnológicos. - Elaborar e interpretar informaciones estadísticas y calcular parámetros estadísticos de uso corriente así como de probabilidad. Índice: Utilización de los números para la resolución de problemas 6 Números naturales 7 Descomposición de un número natural en factores primos 7 Máximo común divisor y mínimo común múltiplo 9 Números enteros 13 Representación de los números enteros 13 Operaciones con números enteros 14 Uso del paréntesis y de las reglas de prioridad de las operaciones 16 Fracciones y decimales en entornos cotidianos 20 Significados y usos de las fracciones. Representación gráfica de las fracciones. 20 Ordenación de fracciones 23 Reducción de fracciones a común denominador 23 Comparación de fracciones 23 Operaciones con fracciones 24 Potencias y raíces cuadradas 27 Operaciones con potencias 27 Cálculo de potencias de base 10 28 Operaciones con raíces cuadradas 32 La proporcionalidad 36 Cálculo de proporcionalidad directa. Resolución de problemas. 36 Cálculo de la proporcionalidad inversa. Resolución de problemas. 39 Reglas de tres compuestas 41 Cálculo del tanto por ciento y tanto por uno 43 Utilización de los porcentajes en la economía. Interés simple. Descuentos. Impuestos (IVA). 45 Interés simple 45 Descuentos 47 IVA 49 Utilización de las medidas para la resolución de problemas 51 El sistema métrico decimal 52 Medidas de longitud. El metro, múltiplos y submúltiplos. 52 Medidas de superficie. El metro cuadrado. 53 Medidas de volumen. El metro cúbico. 55 Medidas de capacidad y masa. El litro y el Kilogramo. 56 Relación entre medidas de capacidad y volumen. Comparación y utilización del litro y del decímetro cúbico. 59 Ángulos 60 Tipos de ángulos 61 Medida de ángulos 64 Operaciones con ángulos 66 Aplicación de la Geometría en la resolución de problemas 70 Triángulos rectángulos 71 Significado y cálculo del teorema de Pitágoras 72 Aplicación del teorema de Pitágoras a la resolución de problemas 73 Polígonos 76 Propiedades y relaciones 76 Clasificación de polígonos 77 Significado y cálculo de perímetros y áreas 78 La circunferencia y el círculo 83 Cálculo de la longitud de la circunferencia aplicado a la resolución de problemas 84 Cálculo del área del círculo aplicado a la resolución de problemas 84 Cuerpos geométricos: prismas y pirámides. 87 Los prismas 87 La pirámide 89 Cuerpos geométricos: cilindros, conos y esferas. 92 El cilindro 92 El cono 93 La esfera 95 Aplicación del Álgebra en la resolución de problemas 97 Traducción de expresiones del lenguaje cotidiano al algebraico. Empleo de letras para simbolizar cantidades o números desconocidos. 98 Utilización de los símbolos para representar relaciones numéricas. Valor numérico de una expresión algebraica. 100 Sistemas de dos ecuaciones con dos incógnitas 102 Solución de un sistema 102 Métodos de resolución de sistemas 103 Representación gráfica 104 Resolución de problemas con sistemas de ecuaciones 106 Aplicación de la Estadística y la probabilidad en la resolución de problemas 115 Organización en tablas de los datos recogidos en una experiencia 116 Cálculo de la Frecuencia absoluta 117 Cálculo de la Frecuencia relativa 118 Cálculo de la Frecuencia acumulada 118 Intervalos de clase 120 Expresión de los datos en diagramas: de barras y sectores. 121 Medidas de centralización: media, mediana y moda. 124 Parámetros de dispersión: rango y desviación típica. 129 Experimentos aleatorios 132 Comportamiento del azar 133 Realización de experimentos con dados y monedas. Cálculo de la frecuencia y probabilidad de un suceso. 133 Cálculo de probabilidades 135