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Teaching, Tutoring and Training in the Lifelong Learning Sector
This core text provides comprehensive support for pre-service and in-service trainee teachers in the Lifelong Learning Sector covering all they need to know to achieve QTLS status. Supporting trainees through all stages of their professional development, the text takes the reader through the theoretical background underpinning teaching and learning and offers practical guidance on day-to-day challenges. This fourth edition has been fully revised and updated and includes a new chapter on teaching practice with notes on observation and lesson planning.New information on behaviour management has been added to support trainees in an aspect of teaching that many find challenging.
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Computer Science Education : Perspectives on Teaching and Learning in School
Drawing together the most up-to-date research from experts all across the world, the second edition of Computer Science Education offers the most up-to-date coverage available on this developing subject, ideal for building confidence of new pre-service and in-service educators teaching a new discipline.It provides an international overview of key concepts, pedagogical approaches and assessment practices. Highlights of the second edition include:- New sections on machine learning and data-driven (epistemic) programming- A new focus on equity and inclusion in computer science education- Chapters updated throughout, including a revised chapter on relating ethical and societal aspects to knowledge-rich aspects of computer science education- A new set of chapters on the learning of programming, including design, pedagogy and misconceptions- A chapter on the way we use language in the computer science classroom. The book is structured to support the reader with chapter outlines, synopses and key points.Explanations of key concepts, real-life examples and reflective points keep the theory grounded in classroom practice. The book is accompanied by a companion website, including online summaries for each chapter, 3-minute video summaries by each author and an archived chapter on taxonomies and competencies from the first edition.
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Functions
How to teach kids coding ideas even if you don't know how to code yourself.In the age of computers, smartphones and digital media, coding is going to be one of the most helpful skills the next generation needs to learn for their future jobs.It's such a focus that schools are starting to introduce it into their curriculum.Younger and younger people are learning how to code20 years ago, coding was taught only at university.Now, high school students are learning it.In the next decade, even elementary school kids will be learning the basics.What is this book?Functions by Dougy Lee is the second book of a series designed to smoothly segue your child into understanding coding concepts - the stuff that university students wrestle with.With simple language and colorful illustrations, this book makes what feel like very difficult topics easy enough that even kids can learn.Functions introduces a variety of fundamental concepts about programming functions that would lay the foundational building blocks for early growth into computer science.We explore key ideas about the topic of functions:The black box model of functions.,What are the components of a function?,What does it mean when you provide different inputs into a function?,How do you know if two functions are the same?,It is a great gift for kids who aspire to make their own websites, build robots or even make games.Have a bit of fun during reading time with your child. Go through with them something that's different to the ordinary baby books of colors and animals.
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Characteristic Functions, Scattering Functions and Transfer Functions : The Moshe Livsic Memorial Volume
Daniel Alpay and Victor Vinnikov During the period July 9 to July 13, 2007,a conference called Characteristic fu- tions and transfer functions in operator theory and system theory: a conference dedicated to PaulFuhrmann onhis 70thanniversary and to the memory ofMoshe Livsiconhis90thanniversarywasheldattheDepartmentofMathematicsofBen- GurionUniversityoftheNegev.Thenotionsoftransferfunctionandcharacteristic functions proved to be fundamental in the last ?fty years in operator theory and in system theory.This conference was envisaged to pay tribute to our colleagues PaulFuhrmannandMosheLivsicwhoplayedacentralroleindevelopingthese- tions.Sadly, Moshe Livsic passedawayon the 30thof March,2007(11th of Nissan 5767), so the conference was dedicated to his memory.It is a pleasure to thank all the participants, who contributed to a very exciting and fruitful conference, and especially those who submitted papers to the present volume.The volume contains a selection of thirteen research papers dedicated to the memory of Moshe Livsic.The topics addressed can be divided into the following categories: Classical operator theory and its applications: This pertains to the paper Diff- ential-di?erence equations in entire functions by G. Belitskii and V. Tkachenko, the paper Bi-Isometries and Commutant Lifting by H.Bercovici, R.G. Douglas. and C. Foias and the paper Convexity of ranges and connectedness of level sets of quadratic forms by I.Feldman, N. Krupnik and A. Markus. Ergodictheoryandstochasticprocesses: We have the papersTheone-sidedergodic Hilbert transform of normal contractions by G.Cohen and M. Lin, and Integral Equations in the Theory of Levy Processes by L.Sakhnovich. Geometryofsmoothmappings:This iscoveredbythepaper ofY.Yomdinentitled ?-Spread of sets in metric spaces and critical values of smooth functions.
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How can I get tutoring for linear functions?
You can get tutoring for linear functions by reaching out to your school or university's tutoring center, where they may offer one-on-one or group tutoring sessions specifically for this topic. Additionally, there are online tutoring platforms and websites that provide tutoring services for linear functions. You can also consider hiring a private tutor who specializes in math and linear functions to receive personalized help and support.
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Which functions are not rational functions?
Functions that are not rational functions include trigonometric functions (such as sine, cosine, and tangent), exponential functions (such as \(e^x\)), logarithmic functions (such as \(\log(x)\)), and radical functions (such as \(\sqrt{x}\)). These functions involve operations like trigonometric ratios, exponentiation, logarithms, and roots, which cannot be expressed as a ratio of two polynomials.
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What are power functions and root functions?
Power functions are functions in the form of f(x) = x^n, where n is a constant exponent. These functions exhibit a characteristic shape depending on whether n is even or odd. Root functions, on the other hand, are functions in the form of f(x) = √x or f(x) = x^(1/n), where n is the index of the root. Root functions are the inverse operations of power functions, as they "undo" the effect of the corresponding power function. Both power and root functions are important in mathematics and have various applications in science and engineering.
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What are inverse functions of power functions?
The inverse functions of power functions are typically radical functions. For example, the inverse of a square function (f(x) = x^2) would be a square root function (f^(-1)(x) = √x). In general, the inverse of a power function with exponent n (f(x) = x^n) would be a radical function with index 1/n (f^(-1)(x) = x^(1/n)). These inverse functions undo the original power function, resulting in the input and output values being switched.
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Human Brain Model with Display Base, 4D DIY Teaching Anatomy Human Brain Model, Learning & Explore Brain Functions, Anatomy Medical Teaching Tool 019
Feature: 1.Explore Brain Functions: Our human brain model provides comprehensive brain anatomy education with detailed features of parietal lobe, temporal lobe, cerebellum, frontal lobe, brainstem, hippocampus, striatum and more. Unravel the wonders of the brain and enhance your understanding of its functions. 2.Realistic and Detailed: Illuminate the secrets of the brain with our extremely detailed and beautifully painted human brain model that closely resembles the real deal. Achieve a greater understanding of the brain's structure and function with our highly accurate miniature model. 3.Demonstration Desk: Upgrade your teaching tools with this brain model and black base stand for easy demonstration. Simple assembly and perfect for young minds to grasp the intricacies of the human brain structure. Stands at around 11 cm in height when assembled. 4.Lightweight and Portable: Get a comprehensive insight into the human brain and its various components with this lightweight and portable PVC brain model. Perfect for students, science enthusiasts and professionals to learn through experiential activities and education. 5.Versatile Uses: Perfect for general anatomy study, neurology, surgical anatomy training, and surgical operation demonstration, this human brain model elevates the educational experience. Amp up your anatomical knowledge and deepen your understanding of human organs structure with this advanced tool. Description: Experience the realistic feel of the human brain with this 3D brain model. Designed to accurately depict major brain structures like the brainstem and hippocampus. Made of PVC and comes with a black base for impressive presentation. Perfect for patient education and students. Specification: Name:Human Brain Model Product material: PVC Product weight: about 162g Product size: about 7*7.7*11CM|2.75*3.03*4.33 inches Ability development: intellectual development Packing List: 1 * Human Brain Model Note: 1. Due to the different display and lighting effects, the actual color of the product may be slightly different from the color shown in the picture. Thanks! 2. Due to manual measurement, a measurement deviation of 1-3cm is allowed.
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Elementary Functions
This textbook focuses on the study of different kinds of elementary functions ubiquitous both in high school Algebra and Calculus.To analyze the functions ranging from polynomial to trigonometric ones, it uses rudimentary techniques available to high school students, and at the same time follows the mathematical rigor appropriate for university level courses. Contrary to other books of Pre-Calculus, this textbook emphasizes the study of elementary functions with rigor appropriate for university level courses in mathematics, although the exposition is confined to the pre-limit topics and techniques.This makes the book useful, on the one hand, as an introduction to mathematical reasoning and methods of proofs in mathematical analysis, and on the other hand, as a preparatory course on the properties of different kinds of elementary functions. The textbook is aimed at university freshmen and high-school students interested in learning strict mathematical reasoning and in preparing a solid base for subsequent study of elementary functions at advanced level of Calculus and Analysis.The required prerequisites correspond to the level of the high school Algebra.All the preliminary concepts and results related to the elementary functions are covered in the initial part of the text.This makes the textbook suitable for both classroom use and self-study.
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Reflective Teaching and Learning in Further Education
This book looks at critical reflection as a key skill for all teachers in further education (FE) and an important part of the new Professional Standards.In particular the text explores the key themes of self-awareness, planning, managing behaviour and CPD in relation to reflective practice to demonstrate how it can support those areas of teaching that most often cause concern.The limitations and benefits of reflection are analysed and action research is identified as an important facet in developing professional reflective practice which can in turn enhance both the personal and professional life of FE teachers. Â
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Understanding Teaching and Learning in Primary Education
This textbook gives you guidance and insights into the knowledge, values and commitments necessary to succeed in the primary classroom, supported by links to theory and research literature and realistic scenarios you may encounter as a new teacher. Fully updated throughout, key features of this second edition include:· A new chapter on inclusive education· Newly expanded coverage of digital learning, engaging with educational research and the role of the primary teacher· New ‘View from Practice’ examples· Cross-referenced links to the Teachers’ Standards in England and the GTCS Professional Standards in Scotland and where they are covered within the bookThis is essential reading for professional studies modules on primary initial teacher education courses, including university-based (PGCE, PGDE, BA QTS, BEd), school-based (SCITT, School Direct) and employment-based routes into teaching.
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What are inverse functions of exponential functions?
Inverse functions of exponential functions are logarithmic functions. They are the functions that "undo" the effects of exponential functions. For example, if the exponential function is f(x) = a^x, then its inverse logarithmic function is g(x) = log_a(x), where a is the base of the exponential function. In other words, if f(x) takes x to the power of a, then g(x) takes a to the power of x.
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What are polynomial functions and what are power functions?
Polynomial functions are functions that can be expressed as a sum of terms, each of which is a constant multiplied by a variable raised to a non-negative integer power. For example, f(x) = 3x^2 - 2x + 5 is a polynomial function. Power functions are a specific type of polynomial function where the variable is raised to a constant power. They can be written in the form f(x) = ax^n, where a is a constant and n is a non-negative integer. For example, f(x) = 2x^3 is a power function. Both polynomial and power functions are important in mathematics and have various applications in science and engineering.
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'Parabolas or Functions?'
Parabolas are a specific type of function that can be represented by the equation y = ax^2 + bx + c. Functions, on the other hand, can take many different forms and can represent a wide variety of relationships between variables. While parabolas are a type of function, not all functions are parabolas. Therefore, the choice between parabolas and functions depends on the specific relationship being modeled and the form that best represents that relationship.
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How do parameter variations and power functions look in functions?
Parameter variations in functions can be represented by changing the coefficients or constants in the function equation. For example, in a linear function y = mx + b, varying the values of m and b will change the slope and y-intercept of the function. Power functions, on the other hand, have the form y = ax^n, where a is the coefficient and n is the exponent. Varying the values of a and n will change the steepness and curvature of the power function. Overall, parameter variations and power functions can be visually represented as changes in the shape, slope, and position of the function graph.
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