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first steps in maths: First Steps for Math Olympians J. Douglas Faires, 2006-12-21 A major aspect of mathematical training and its benefit to society is the ability to use logic to solve problems. The American Mathematics Competitions have been given for more than fifty years to millions of students. This book considers the basic ideas behind the solutions to the majority of these problems, and presents examples and exercises from past exams to illustrate the concepts. Anyone preparing for the Mathematical Olympiads will find many useful ideas here, but people generally interested in logical problem solving should also find the problems and their solutions stimulating. The book can be used either for self-study or as topic-oriented material and samples of problems for practice exams. Useful reading for anyone who enjoys solving mathematical problems, and equally valuable for educators or parents who have children with mathematical interest and ability. |
first steps in maths: First Steps in Mathematics Western Australia. Department of Education and Training, 2005 |
first steps in maths: Math on the Move Malke Rosenfeld, 2016-10-18 Kids love to move. But how do we harness all that kinetic energy effectively for math learning? In Math on the Move, Malke Rosenfeld shows how pairing math concepts and whole body movement creates opportunities for students to make sense of math in entirely new ways. Malke shares her experience creating dynamic learning environments by: exploring the use of the body as a thinking tool, highlighting mathematical ideas that are usefully explored with a moving body, providing a range of entry points for learning to facilitate a moving math classroom. ...--Publisher description. |
first steps in maths: First Steps in Differential Geometry Andrew McInerney, 2013-07-09 Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe differential geometry as the study of structures on the tangent space, and this text develops this point of view. This book, unlike other introductory texts in differential geometry, develops the architecture necessary to introduce symplectic and contact geometry alongside its Riemannian cousin. The main goal of this book is to bring the undergraduate student who already has a solid foundation in the standard mathematics curriculum into contact with the beauty of higher mathematics. In particular, the presentation here emphasizes the consequences of a definition and the careful use of examples and constructions in order to explore those consequences. |
first steps in maths: First Steps in Mathematics Sue Willis, Wendy Devlin, Lorraine Jacob, 2005-01-01 Provides teachers with a range of practical tools to improve the mathematical learning for all students |
first steps in maths: Computer Graphics Patricia A. Egerton, William S. Hall, 1998 Computer Graphics - First Mathematical Steps will help students to master basic Computer Graphics and the mathematical concepts which underlie this subject. They will be led to develop their own skills, and appreciate Computer Graphics techniques in both two and three dimensions. The presentation of the text is methodical, systematic and gently paced - everything translates into numbers and simple ideas. Sometimes students experience difficulty in understanding some of the mathematics in standard Computer Graphics books; this book can serve as a good introduction to more advanced texts. It starts from first principles and is sympathetically written for those with a limited mathematical background. Computer Graphics - First Mathematical Steps is suitable for supporting undergraduate programmes in Computers and also the newer areas of Computer Graphics and Visualization. It is appropriate for post-graduate conversion courses which develop expertise in Computer Graphics and CAD. It can also be used for enrichment topics for high-flying pre-college students, and for refresher/enhancement courses for computer graphics technicians. |
first steps in maths: FIRST STEPS to Mathematics C. Greenidge, 2017-04-27 First Steps to Mathematics for Infants is a three-part book which introduces the young learner to Mathematics. The concepts are presented in an easy and interesting manner with a variety of activities for reinforcement. The first part introduces concepts like left right and middle, same and different, bigger and smaller, patterns, light and heavy, tall, short and long, and holds more and holds less. The second part focuses on numbers zero to ten. The activities include tracing and writing the numbers, drawing objects for the numbers, circling and completing sets, and counting and matching to the number.The third part presents concepts like shapes, one to one correspondence, equals, more than and less than, bigger and smaller number, missing numbers in series 0-10, number names zero to ten, ordinals, whole and fractions, pictographs, classifying, and adding and taking away. Although designed for the 4-6 age group, it may be helpful to older children who have not mastered the concepts. |
first steps in maths: My Two Book Jane Belk Moncure, 2006 Learn about counting and numbers with a girl named Little Two. |
first steps in maths: Mathematics the First Step Ramesh Chandra, 2017-04-19 The book intended exclusively for the usage of students, teachers and persons who are related to competitive exams. The book is based on our experience over the past 8 years and design on the basis of current competitive level of Engineering like IIT JEE mains/ Advanced, MHT-CET, BITSAT + NTSE, KVPY, Olympiad, IIT Foundation + CAT and other state engineering exams in India, where 1194938 i.e. around 12 Lakh of students (Year 2016) write a single engineering exam. As an educator, I understand the student’s need of these topics and the difficulties faces by students in transition from standard 10th to 11th class. As students enter their 11th standard, they find a substantial change in the course content and level of difficulty. They find some totally new concepts of Mathematics, widely used in Physics and Chemistry. They may be completely unfamiliar with concepts of absolute value, Interval Methods, Set Notation, inequalities etc. The book has been prepared for them to learn the concepts of algebra from basic to advanced level of thinking. The book is prepared to serve as a bridge for 10th to 11th standards, CAT aspirants etc. Software engineers can also be in benefit in writing the code due to concepts clarity. The book contains the following Learning Methodology. (i) Basic concepts and easy learning. (ii) Necessary examples and experiments for beginners level to expert. (iii) Psychology of student’s brain and their thinking. (iv) Pictorial view of problems and solutions. (v) Challenging problems (Ultimate Finish – for Top All India Rankers between 1 - 500). (vi) Exercises and Assignments to test the understanding and growing knowledge. (vii) Sample Test Paper to have experience before actual exam. (viii) Puzzles and interactive learning to keep interest. (ix) How to make notes to up-to-date and add your thinking inside the book. (x) Archive of IIT-JEE Mains/Advanced. (xi) All types of questions (Single and Multi-correct, Integer Type, Comprehension, Assertion-reason, Matrix-Match) i.e Subjective and Objective both. |
first steps in maths: Mine the Gap for Mathematical Understanding, Grades K-2 John SanGiovanni, 2016-10-31 Being an effective math educator is one part based on the quality of the tasks we give, one part how we diagnose what we see, and one part what we do with what we find. Yet with so many students and big concepts to cover, it can be hard to slow down enough to look for those moments when students’ responses tell us what we need to know about next best steps. In this remarkable book, John SanGiovanni helps us value our young learners’ misconceptions and incomplete understandings as much as their correct ones—because it’s the gap in their understanding today that holds the secrets to planning tomorrow’s best teaching. SanGiovanni lays out 160 high-quality tasks aligned to the standards and big ideas of grades K-2 mathematics, including counting and representing numbers, number relationships and comparison, addition and subtraction within 100 and 1000, money and time, and multiplication and division. The tasks are all downloadable so you can use or modify them for instruction and assessment. Each big idea offers a starting task followed by: what makes it a high-quality taskwhat you might anticipate before students work with the task 4 student examples of the completed task showcasing a distinct gap commentary on what precisely counts for mathematical understanding and the next instructional steps commentary on the misconception or incomplete understanding so you learn why the student veered off course three additional tasks aligned to the mathematics topic and ideas about what students might do with these additional tasks. It’s time to break our habit of rushing into re-teaching for correctness and instead get curious about the space between right and wrong answers. Mine the Gap for Mathematical Understanding is a book you will return to again and again to get better at selecting tasks that will uncover students’ reasoning—better at discerning the quality and clarity of students’ understanding—and better at planning teaching based on the gaps you see. |
first steps in maths: Advanced Problems in Mathematics Stephen Siklos, 2019-10-16 This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and each question is followed by a comment and a full solution. The comments direct the reader's attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently. This book is a must read for any student wishing to apply to scientific subjects at university level and for anyone interested in advanced mathematics. |
first steps in maths: Visual Guide to Math DK, 2018-08-07 Key math vocabulary and concepts for young children explained simply in this friendly and informative reference book. Clear, accessible pictures and diagrams support this first introduction to numbers, calculating, measuring, geometry, and data-collecting, making basic maths skills easier to understand. Packed with key terms and useful tips to help remember as well as practical examples of math in daily life, Visual Guide to Math is ideal even for reluctant kids. Place value, number bonds, multiplication tables, and fractions are just a few of the math concepts explained and reinforced in a variety of ways for children with different learning styles. Covering everything a young child needs to know, this unique reference book follows the curriculum and provides a strong foundation for math skills through the rest of the school years. A perfect homework help to support children as they take their first steps in math and build confidence. |
first steps in maths: Easy Mathematics Step-by-Step Sandra Luna McCune, William D. Clark, 2012-02-24 Take it step-by-step for math success! The quickest route to learning a subject is through a solid grounding in the basics. So what you won’t find in Easy Mathematics Step-by-Step is a lot of endless drills. Instead, you get a clear explanation that breaks down complex concepts into easy-to-understand steps, followed by highly focused exercises that are linked to core skills--enabling learners to grasp when and how to apply those techniques. This book features: Large step-by-step charts breaking down each step within a process and showing clear connections between topics and annotations to clarify difficulties Stay-in-step panels show how to cope with variations to the core steps Step-it-up exercises link practice to the core steps already presented Missteps and stumbles highlight common errors to avoid You can master math as long as you take it Step-by-Step! |
first steps in maths: First Steps for Problem Solvers , 2015 |
first steps in maths: Easy Math Step-by-Step, Second Edition Sandra Luna McCune, William D. Clark, 2018-12-28 Get the knowledge and skills you need to solve math problems with confidence!This book won’t overwhelm you with endless drills. Instead, it offers an original, step-by-step approach to learning math. The book will first introduce you to essential math concepts—allowing you to grasp the subject almost immediately. You will gradually progress to more challenging skills. Along the way, you will learn how to solve practical problems using clear, step-by-step instructions. Exercises for each section, with detailed, worked-out solutions, let you check your progress. In no time at all, you will have acquired the knowledge and skills you need to solve math problems with confidence!Features•A unique building-block approach to mastering math•Down-to-earth explanations of important rules and concepts•Sample problems that are carefully explained—step by step•Exercises that will allow you to practice what you’ve learned and measure your progress•Insights on how to avoid common mistakes |
first steps in maths: Mathematics Learning in Early Childhood National Research Council, Division of Behavioral and Social Sciences and Education, Center for Education, Committee on Early Childhood Mathematics, 2009-11-13 Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children. |
first steps in maths: Number Sense Routines Jessica F. Shumway, 2011 Just as athletes stretch their muscles before every game and musicians play scales to keep their technique in tune, mathematical thinkers and problem solvers can benefit from daily warm-up exercises. Jessica Shumway has developed a series of routines designed to help young students internalize and deepen their facility with numbers. The daily use of these quick five-, ten-, or fifteen-minute experiences at the beginning of math class will help build students' number sense. Students with strong number sense understand numbers, ways to represent numbers, relationships among numbers, and number systems. They make reasonable estimates, compute fluently, use reasoning strategies (e.g., relate operations, such as addition and subtraction, to each other), and use visual models based on their number sense to solve problems. Students who never develop strong number sense will struggle with nearly all mathematical strands, from measurement and geometry to data and equations. In Number Sense Routines, Jessica shows that number sense can be taught to all students. Dozens of classroom examples -- including conversations among students engaging in number sense routines -- illustrate how the routines work, how children's number sense develops, and how to implement responsive routines. Additionally, teachers will gain a deeper understanding of the underlying math -- the big ideas, skills, and strategies children learn as they develop numerical literacy. |
first steps in maths: Mathematics Richele Baburina, 2012-09 |
first steps in maths: Help Your Kids With Maths Carol Vorderman, 2010-07-01 A simple, visual approach to helping your child understand maths Reduce the stress of studying maths and help your child with their homework, following this unique visual guide which will demystify the subject for everyone. Using clear, accessible pictures, diagrams and easy-to-follow step-by-steps - and covering everything from basic numeracy to more challenging subjects like statistics and algebra - you'll learn to approach even the most complex maths problems with confidence. Includes a glossary of key maths terms and symbols. The perfect guide for every frustrated parent and desperate child, who wants to understand maths and put it into practice. |
first steps in maths: Building Thinking Classrooms in Mathematics, Grades K-12 Peter Liljedahl, 2020-09-28 A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling non-thinking student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before. |
first steps in maths: Mathematical Mindsets Jo Boaler, 2015-10-12 Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age. |
first steps in maths: Strengths-Based Teaching and Learning in Mathematics Beth McCord Kobett, Karen S. Karp, 2020-02-27 This book is a game changer! Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K- 6 goes beyond simply providing information by sharing a pathway for changing practice. . . Focusing on our students’ strengths should be routine and can be lost in the day-to-day teaching demands. A teacher using these approaches can change the trajectory of students’ lives forever. All teachers need this resource! Connie S. Schrock Emporia State University National Council of Supervisors of Mathematics President, 2017-2019 NEW COVID RESOURCES ADDED: A Parent’s Toolkit to Strengths-Based Learning in Math is now available on the book’s companion website to support families engaged in math learning at home. This toolkit provides a variety of home-based activities and games for families to engage in together. Your game plan for unlocking mathematics by focusing on students’ strengths. We often evaluate student thinking and their work from a deficit point of view, particularly in mathematics, where many teachers have been taught that their role is to diagnose and eradicate students’ misconceptions. But what if instead of focusing on what students don’t know or haven’t mastered, we identify their mathematical strengths and build next instructional steps on students’ points of power? Beth McCord Kobett and Karen S. Karp answer this question and others by highlighting five key teaching turnarounds for improving students’ mathematics learning: identify teaching strengths, discover and leverage students’ strengths, design instruction from a strengths-based perspective, help students identify their points of power, and promote strengths in the school community and at home. Each chapter provides opportunities to stop and consider current practice, reflect, and transfer practice while also sharing · Downloadable resources, activities, and tools · Examples of student work within Grades K–6 · Real teachers’ notes and reflections for discussion It’s time to turn around our approach to mathematics instruction, end deficit thinking, and nurture each student’s mathematical strengths by emphasizing what makes them each unique and powerful. |
first steps in maths: Formal Proofs in Maths Chris Lavranos, Labros Batalas, Konstantinos Lamogiannis, 2015-07-15 The scope of Formal Proofs in Maths is to teach students between higher school classes and University undergraduate or postgraduate studies, how to write a formal proof with the true meaning of the concept, of simple theorems in Algebra, particulary in identities concerning equalities, equations and inequalities. This is accomplished by writing four different types of proof namely type(A), type(B), type(C) and type(D) for each theorem or exercise. In TYPE(A) ordinary proofs will be cited in the usual narrative style used by experienced mathematicians. In TYPE(B) a rigorous proof in steps will be introduced to the reader. Each line of that proof will be justified by an appropriate axiom, theorem or definition. In TYPE(C) we will try for a smooth transition from a rigorous proof to a formal proof exposing the way that the laws of logic apply on one or more statements of the proof. In TYPE(D) we will simply write in tabular stepwise form, the results of TYPE(C) mentioning both: 1) Axioms, theorems or definitions. 2) The laws of logic. Hence, finally producing a formal proof according to the definition given in the preface note of the book. |
first steps in maths: How to Prove It Daniel J. Velleman, 2006-01-16 Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians. |
first steps in maths: My First Book Jane Belk Moncure, 1990 A book based on a teaching activity that helps children learn to recognize letters and their sounds. |
first steps in maths: The Daily 5 Gail Boushey, Joan Moser, 2014 The Daily 5, Second Edition retains the core literacy components that made the first edition one of the most widely read books in education and enhances these practices based on years of further experience in classrooms and compelling new brain research. The Daily 5 provides a way for any teacher to structure literacy (and now math) time to increase student independence and allow for individualized attention in small groups and one-on-one. Teachers and schools implementing the Daily 5 will do the following: Spend less time on classroom management and more time teaching Help students develop independence, stamina, and accountability Provide students with abundant time for practicing reading, writing, and math Increase the time teachers spend with students one-on-one and in small groups Improve schoolwide achievement and success in literacy and math. The Daily 5, Second Edition gives teachers everything they need to launch and sustain the Daily 5, including materials and setup, model behaviors, detailed lesson plans, specific tips for implementing each component, and solutions to common challenges. By following this simple and proven structure, teachers can move from a harried classroom toward one that hums with productive and engaged learners. What's new in the second edition: Detailed launch plans for the first three weeks Full color photos, figures, and charts Increased flexibility regarding when and how to introduce each Daily 5 choice New chapter on differentiating instruction by age and stamina Ideas about how to integrate the Daily 5 with the CAFE assessment system New chapter on the Math Daily 3 structure |
first steps in maths: Same But Different Math Sue Looney, 2022-07-21 Same But Different Math is a powerful routine to help students improve their mathematical reasoning, clarify concepts and make critical connections between ideas. Popular math consultant Sue Looney takes you step by step through implementation so you can easily add this routine into your toolbox. She establishes the rationale for the routine and then walks you through specific examples of when to use it, how to use it and how to make specific connections for learners. Throughout the book, you’ll find examples of lessons with images from a range of grade levels and mathematical content to show you the routine in action. There are also exercises for you to complete while reading to help you apply what you’ve learned, as well as a handy planning section with a template and resource links. In addition, there are Appendices featuring additional examples, which you can download from our website www.routledge.com/9781032126555 for classroom use. With the helpful features in this book, you’ll come away confidently able to implement this routine, bringing all your students to deeper levels of understanding in math. |
first steps in maths: First Steps in Mathematics Sue Willis, STEPS Professional Development, Wendy Devlin, 2011 |
first steps in maths: Complete International Mathematics for Cambridge IGCSE® Extended David Rayner, Jim Fensom, 2013-11-14 An expert dual approach - with David Rayner injecting his well-known rigour and exact match to the Cambridge IGCSE® (0607) specification, plus IB Maths specialist Jim Fensom incorporating the enrichment and IB-focus needed for success in future IB study. The resource is fully up-to-date and matched to the latest Cambridge syllabus. It provides thorough exam support, with a practice-based approach and plenty of worked examples to reinforce understanding. it includes free access to online resources focused on building assessment confidence, with revision help and a whole suite of past exam papers. This resource offers just the right amount of rigour for Cambridge IGCSE International Mathematics and is specially tailored for IB preparation, with integrated graphics calculator guidance providing invaluable support. A solid foundation which will sufficiently challenge students to hit the ground running in IB Maths. |
first steps in maths: Productive Math Struggle John J. SanGiovanni, Susie Katt, Kevin J. Dykema, 2020-03-09 All students face struggle, and they should—it is how they learn and grow. The teacher’s job is not to remove struggle, but rather to value and harness it, helping students develop good habits of productive struggle. But what’s missing for many educators is an action plan for how to achieve this, especially when it comes to math. This book guides teachers through six specific actions—including valuing, fostering, building, planning, supporting, and reflecting on struggle—to create a game plan for overcoming obstacles by sharing · Actionable steps, activities, and tools for implementation · Instructional tasks representative of each grade level · Real-world examples showcasing classroom photos and student work |
first steps in maths: Super Simple Chemistry DK, 2020-05-14 From acids to alloys and equations to evaporation, this guide makes complex topics easy to grasp at a glance. Perfect support for coursework, homework, and exam revision. Each topic is fully illustrated, to support the information, make the facts crystal clear, bring the science to life and make studying a breeze. A large central image explains the idea visually and each topic is summed up on a single page, helping children to quickly get up to speed and really understand how chemistry works. For key ideas, How it Works and Look Closer boxes explain the theory with the help of simple graphics. And for revision, a handy Key Facts box provides a simple summary you can check back on later. With clear, concise coverage of all the core topics, Super Simple Chemistry is the perfect accessible guide to chemistry for children, supporting classwork, and making studying for exams the easiest it's ever been. |
first steps in maths: Principia Mathematica Alfred North Whitehead, Bertrand Russell, 1910 |
first steps in maths: First Steps in Mathematics Wendy Devlin, 2005 This resource book and professional development program is designed to help teachers to plan, implement and evaluate the maths curriculum provided for their students. Includes, a diagnostic map, outcomes, levels of achievement, pointers, key understandings, sample learning activities and background notes. Part of a series. |
first steps in maths: Mastering Essential Math Skills Richard W. Fisher, 2016-06 Illustrated workbook for learning, practicing, and mastering elementary number theory in mathematics. |
first steps in maths: Chance and Data Sue Willis, Caroline Hardman, 2011 |
first steps in maths: Big Ideas Math Ron Larson, Laurie Boswell, 2019 |
first steps in maths: Dr. Wright's Kitchen Table Math Chris Wright, 2011-08-03 |
first steps in maths: Fundamentals of Mathematics Denny Burzynski, Wade Ellis, 2008 Fundamentals of Mathematics is a work text that covers the traditional study in a modern prealgebra course, as well as the topics of estimation, elementary analytic geometry, and introductory algebra. It is intended for students who: have had previous courses in prealgebra wish to meet the prerequisites of higher level courses such as elementary algebra need to review fundamental mathematical concenpts and techniques This text will help the student devlop the insight and intuition necessary to master arithmetic techniques and manipulative skills. It was written with the following main objectives: to provide the student with an understandable and usable source of information to provide the student with the maximum oppurtinity to see that arithmetic concepts and techniques are logically based to instill in the student the understanding and intuitive skills necessary to know how and when to use particular arithmetic concepts in subsequent material cources and nonclassroom situations to give the students the ability to correctly interpret arithmetically obtained results We have tried to meet these objects by presenting material dynamically much the way an instructure might present the material visually in a classroom. (See the development of the concept of addition and subtraction of fractions in section 5.3 for examples) Intuition and understanding are some of the keys to creative thinking, we belive that the material presented in this text will help students realize that mathematics is a creative subject. |
first steps in maths: The Mathematical Brain Brian Butterworth, 2000 |
first steps in maths: First Maths Glossary DK, 2018-08-02 Key maths vocabulary and concepts for young children are simply explained in this friendly and informative reference book. Clear, accessible pictures and diagrams support this first introduction to numbers, calculating, measuring, geometry, and data-collecting, making basic maths skills easier to understand. Packed with key terms and useful tips to help remember as well as practical examples of maths in daily life, First Maths Glossary is ideal even for reluctant kids. Place value, number bonds, multiplication tables, and fractions are just a few of the maths concepts explained and reinforced in a variety of ways for children with different learning styles. Covering everything a young child needs to know and useful for parents to understand the latest maths-teaching methods, this unique reference book follows the curriculum for Reception and Key Stage 1 and provides a strong foundation for maths learning through the rest of the school years. A perfect homework help to support children as they take their first steps in maths and build confidence. |
Last name 和 First name 到底哪个是名哪个是姓? - 知乎
Last name 和 First name 到底哪个是名哪个是姓? 上学的时候老师说因为英语文化中名在前,姓在后,所以Last name是姓,first name是名,假设一个中国人叫孙悟空,那么他的first nam…
first 和 firstly 的用法区别是什么? - 知乎
a.First ( = First of all)I must finish this work.(含义即,先完成这项工作再说,因为这是必须的,重要的,至于其它,再说吧) b.First come,first served .先来,先招待(最重要) …
EndNote如何设置参考文献英文作者姓全称,名缩写? - 知乎
知乎,中文互联网高质量的问答社区和创作者聚集的原创内容平台,于 2011 年 1 月正式上线,以「让人们更好的分享知识、经验和见解,找到自己的解答」为品牌使命。知乎凭借认真、专业 …
对一个陌生的英文名字,如何快速确定哪个是姓哪个是名? - 知乎
知乎,中文互联网高质量的问答社区和创作者聚集的原创内容平台,于 2011 年 1 月正式上线,以「让人们更好的分享知识、经验和见解,找到自己的解答」为品牌使命。知乎凭借认真、专业 …
发表sci共同第一作者(排名第二)有用吗? - 知乎
知乎,中文互联网高质量的问答社区和创作者聚集的原创内容平台,于 2011 年 1 月正式上线,以「让人们更好的分享知识、经验和见解,找到自己的解答」为品牌使命。知乎凭借认真、专业 …
有大神公布一下Nature Communications从投出去到Online的审稿 …
知乎,中文互联网高质量的问答社区和创作者聚集的原创内容平台,于 2011 年 1 月正式上线,以「让人们更好的分享知识、经验和见解,找到自己的解答」为品牌使命。知乎凭借认真、专业 …
GM、VP、FVP、CIO都是什么职位? - 知乎
FVP(First Vice President)则是指公司的第一副总裁,通常是在VP之上的高管职位。 VP(Vice President)是指公司的副总裁,通常是在高层管理团队中担任领导职务的高管。
论文作者后标注了共同一作(数字1)但没有解释标注还算共一 …
Aug 26, 2022 · 是在不同作者姓名的右上角标了数字1吗? 共同作者可不是这么标的。 标注共同一作的方法并不是有的作者以为的上下并列,而是在共同第一作者的右上角标注相同的符号,比 …
贝塞尔函数及其性质 - 知乎
为第一类贝塞尔函数 (Bessel functions of the first kind), 为第二类贝塞尔函数 (Bessel functions of the second kind),有的也记为 。 第一类贝塞尔函数积分表达式. 对于整数阶n, 该公式也 …
2025年618 CPU选购指南丨CPU性能天梯图(R23 单核/多核性能 …
May 4, 2025 · cpu型号名称小知识 amd. 无后缀 :普通型号; 后缀 g :有高性能核显型号(5000系及之前系列 除了后缀有g的其他均为 无核显,7000除了后缀f,都有核显)
Last name 和 First name 到底哪个是名哪个是姓? - 知乎
Last name 和 First name 到底哪个是名哪个是姓? 上学的时候老师说因为英语文化中名在前,姓在后,所以Last name是姓,first name是名,假设一个中国人叫孙悟空,那么他的first nam…
first 和 firstly 的用法区别是什么? - 知乎
a.First ( = First of all)I must finish this work.(含义即,先完成这项工作再说,因为这是必须的,重要的,至于其它,再说吧) b.First come,first served .先来,先招待(最重要) …
EndNote如何设置参考文献英文作者姓全称,名缩写? - 知乎
知乎,中文互联网高质量的问答社区和创作者聚集的原创内容平台,于 2011 年 1 月正式上线,以「让人们更好的分享知识、经验和见解,找到自己的解答」为品牌使命。知乎凭借认真、专业 …
对一个陌生的英文名字,如何快速确定哪个是姓哪个是名? - 知乎
知乎,中文互联网高质量的问答社区和创作者聚集的原创内容平台,于 2011 年 1 月正式上线,以「让人们更好的分享知识、经验和见解,找到自己的解答」为品牌使命。知乎凭借认真、专业 …
发表sci共同第一作者(排名第二)有用吗? - 知乎
知乎,中文互联网高质量的问答社区和创作者聚集的原创内容平台,于 2011 年 1 月正式上线,以「让人们更好的分享知识、经验和见解,找到自己的解答」为品牌使命。知乎凭借认真、专业 …
有大神公布一下Nature Communications从投出去到Online的审稿 …
知乎,中文互联网高质量的问答社区和创作者聚集的原创内容平台,于 2011 年 1 月正式上线,以「让人们更好的分享知识、经验和见解,找到自己的解答」为品牌使命。知乎凭借认真、专业 …
GM、VP、FVP、CIO都是什么职位? - 知乎
FVP(First Vice President)则是指公司的第一副总裁,通常是在VP之上的高管职位。 VP(Vice President)是指公司的副总裁,通常是在高层管理团队中担任领导职务的高管。
论文作者后标注了共同一作(数字1)但没有解释标注还算共一 …
Aug 26, 2022 · 是在不同作者姓名的右上角标了数字1吗? 共同作者可不是这么标的。 标注共同一作的方法并不是有的作者以为的上下并列,而是在共同第一作者的右上角标注相同的符号,比 …
贝塞尔函数及其性质 - 知乎
为第一类贝塞尔函数 (Bessel functions of the first kind), 为第二类贝塞尔函数 (Bessel functions of the second kind),有的也记为 。 第一类贝塞尔函数积分表达式. 对于整数阶n, 该公式也 …
2025年618 CPU选购指南丨CPU性能天梯图(R23 单核/多核性能跑 …
May 4, 2025 · cpu型号名称小知识 amd. 无后缀 :普通型号; 后缀 g :有高性能核显型号(5000系及之前系列 除了后缀有g的其他均为 无核显,7000除了后缀f,都有核显)