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classify in math: Examples in algebra James Wharton, 1848 |
classify in math: Puzzles in Math and Logic Aaron J. Friedland, 1970 Selected brain teasers requiring geometric, algebraic, and logical solutions |
classify in math: Learning and Teaching Early Math Douglas H. Clements, Julie Sarama, 2020-12-29 The third edition of this significant and groundbreaking book summarizes current research into how young children learn mathematics and how best to develop foundational knowledge to realize more effective teaching. Using straightforward, practical language, early math experts Douglas Clements and Julie Sarama show how learning trajectories help teachers understand children’s level of mathematical understanding and lead to better teaching. By focusing on the inherent delight and curiosity behind young children’s mathematical reasoning, learning trajectories ultimately make teaching more joyous: helping teachers understand the varying levels of knowledge exhibited by individual students, it allows them to better meet the learning needs of all children. This thoroughly revised and contemporary third edition of Learning and Teaching Early Math remains the definitive, research-based resource to help teachers understand the learning trajectories of early mathematics and become confident, credible professionals. The new edition draws on numerous new research studies, offers expanded international examples, and includes updated illustrations throughout. This new edition is closely linked with Learning and Teaching with Learning Trajectories–[LT]2–an open-access, web-based tool for early childhood educators to learn about how children think and learn about mathematics. Head to LearningTrajectories.org for ongoing updates, interactive games, and practical tools that support classroom learning. |
classify in math: Math Problem Ways Yves Earhart, AI, 2025-02-16 Math Problem Ways explores the cognitive strategies behind mathematical problem-solving, revealing how individuals approach and conquer complex problems. The book emphasizes that problem-solving isn't solely about innate talent but a skill honed through deliberate practice and effective techniques. Intriguingly, it examines how mental shortcuts, known as heuristic methods, can significantly boost efficiency when tackling challenging mathematical tasks. The book uniquely integrates academic research with practical applications. It delves into the power of visual representation, illustrating how diagrams and graphs aid understanding and solution generation. Furthermore, it investigates metacognitive strategies, highlighting how thinking about one's own thinking processes enhances performance. The book progresses systematically, beginning with fundamental concepts and then building upon them across sections focusing on heuristic methods, visual representation, and metacognitive strategies, culminating in a holistic model for effective problem-solving. |
classify in math: Math Unlimited R. Sujatha, H. N. Ramaswamy, C. S. Yogananda, 2011-11-11 This collection of essays spans pure and applied mathematics. Readers interested in mathematical research and historical aspects of mathematics will appreciate the enlightening content of the material. Highlighting the pervasive nature of mathematics today in a host of different areas, the book also covers the spread of mathematical ideas and techn |
classify in math: Mathematics Teaching Mr. Rohit Manglik, 2023-10-16 EduGorilla Publication is a trusted name in the education sector, committed to empowering learners with high-quality study materials and resources. Specializing in competitive exams and academic support, EduGorilla provides comprehensive and well-structured content tailored to meet the needs of students across various streams and levels. |
classify in math: Mathematical Modeling J. N. Kapur, 2023-02-15 This book can be used in courses on mathematical modeling at the senior undergraduate or graduate level, or used as a reference for in-service scientists and engineers. The book provides an overview of mathematical modeling through a panoramic view of applications of mathematics in science and technology. In each chapter, mathematical models are chosen from the physical, biological, social, economic, management, and engineering sciences. The models deal with different concepts, but have a common mathematical structure and bring out the unifying influence of mathematical modeling in different disciplines. Features: Provides a balance between theory and applications Features models from the physical, biological, social, economic, management, and engineering sciences |
classify in math: Demystify Math, Science, and Technology Dennis Adams, Mary Hamm, 2010-02-15 This book provides principles and practical strategies for promoting creative and innovative work in math, science, and technology. |
classify in math: Mathematical Publishing Steven George Krantz, Mathematicians are expected to publish their work: in journals, conference proceedings, and books. It is vital to advancing their careers. Later, some are asked to become editors. However, most mathematicians are trained to do mathematics, not to publish it. But here, finally, for graduate students and researchers interested in publishing their work, Steven G. Krantz, the respected author of several how-to guides in mathematics, shares his experience as an author, editor, editorial board member, and independent publisher. This new volume is an informative, comprehensive guidebook to publishing mathematics. Krantz describes both the general setting of mathematical publishing and the specifics about all the various publishing situations mathematicians may encounter. As with his other books, Krantz's style is engaging and frank. He gives advice on how to get your book published, how to get organized as an editor, what to do when things go wrong, and much more. He describes the people, the language (including a glossary), and the process of publishing both books and journals. Steven G. Krantz is an accomplished mathematician and an award-winning author. He has published more than 130 research articles and 45 books. He has worked as an editor of several book series, research journals, and for the Notices of the AMS. He is also the founder of the Journal of Geometric Analysis. Other titles available from the AMS by Steven G. Krantz are How to Teach Mathematics, A Primer of Mathematical Writing, A Mathematician's Survival Guide, and Techniques of Problem Solving. |
classify in math: Adults' Mathematical Thinking and Emotions Jeff Evans, 2002-01-04 The crisis around teaching and learning of mathematics and its use in everyday life and work relate to a number of issues. These include: The doubtful transferability of school maths to real life contexts, the declining participation in A level and higher education maths courses, the apparent exclusion of some groups, such as women and the aversion of many people to maths. This book addresses these issues by considering a number of key problems in maths education and numeracy: *differences among social groups, especially those related to gender and social class *the inseparability of cognition and emotion in mathematical activity *the understanding of maths anxiety in traditional psychological, psychoanalytical and feminist theories *how adults' numerate thinking and performance must be understood in context. The author's findings have practical applications in education and training, such as clarifying problems of the transfer of learning, and of countering maths anxiety. |
classify in math: Winning at Math Paul D. Nolting, 2002 Every student must pass math courses to graduate. Doing well in math can both increase your career choices and allow you to graduate. Winning at Math will help you improve your math grades -- quickly and easily. The format of Winning at Math has bene revised to make it easier to read, and it contains much more proven math study skills techniques. The chapter on test anxiety has been expanded to assist students with math anxiety not just test anxiety. -- From publisher's description |
classify in math: A Book of Abstract Algebra Charles C Pinter, 2010-01-14 Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition. |
classify in math: Tensor Categories Pavel Etingof, Shlomo Gelaki, Dmitri Nikshych, Victor Ostrik, 2016-08-05 Is there a vector space whose dimension is the golden ratio? Of course not—the golden ratio is not an integer! But this can happen for generalizations of vector spaces—objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes the theory of group representations. It has deep connections with many other fields, including representation theory, Hopf algebras, operator algebras, low-dimensional topology (in particular, knot theory), homotopy theory, quantum mechanics and field theory, quantum computation, theory of motives, etc. This book gives a systematic introduction to this theory and a review of its applications. While giving a detailed overview of general tensor categories, it focuses especially on the theory of finite tensor categories and fusion categories (in particular, braided and modular ones), and discusses the main results about them with proofs. In particular, it shows how the main properties of finite-dimensional Hopf algebras may be derived from the theory of tensor categories. Many important results are presented as a sequence of exercises, which makes the book valuable for students and suitable for graduate courses. Many applications, connections to other areas, additional results, and references are discussed at the end of each chapter. |
classify in math: 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. TheHandbook of Mathematical Cognition is a collection of 27 essays by leading researchers that provides a comprehensive review of this important research field. |
classify in math: Encyclopaedia of Mathematics M. Hazewinkel, 2013-11-11 |
classify in math: Encyclopaedia of Mathematics Michiel Hazewinkel, 2013-12-01 This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques. |
classify in math: Database and Expert Systems Applications Pablo García Bringas, Abdelkader Hameurlain, Gerald Quirchmayr, 2010-08-13 st We welcome you to the proceedings of the 21 International Conference on Database and Expert Systems Applications held in Bilbao. With information and database s- tems being a central topic of computer science, it was to be expected that the integ- tion of knowledge, information and data is today contributing to the again rapidly increasing attractiveness of this field for researchers and practitioners. Since its foundation in 1990, DEXA has been an annual international conference, located in Europe, which showcases state-of-the-art research activities in these areas. DEXA 2010 continued this tradition and provided a forum for presenting and discu- ing research results in the area of database and intelligent systems and advanced - search topics, applications and practically relevant issues related to these areas. It offered attendees the opportunity to extensively discuss requirements, problems, and solutions in the field in the pleasant atmosphere of the city of Bilbao, which is known for its driving industriousness, its top cultural venues and its rich and inspiring he- tage and lifestyle. The University of Deusto with its great educational and research traditions, and the hospitality which the university and the city are so famous for, set the stage for this year’s DEXA conference. This volume contains the papers selected for presentation at the DEXA conference. |
classify in math: Mathematical Software – ICMS 2018 James H. Davenport, Manuel Kauers, George Labahn, Josef Urban, 2018-07-17 This book constitutes the proceedings of the 6th International Conference on Mathematical Software, ICMS 2018, held in South Bend, IN, USA, in July 2018.The 59 papers included in this volume were carefully reviewed and selected from numerous submissions. The program of the 2018 meeting consisted of 20 topical sessions, each of which providing an overview of the challenges, achievements and progress in a subeld of mathematical software research, development and use. |
classify in math: History of Topology I.M. James, 1999-08-24 Topology, for many years, has been one of the most exciting and influential fields of research in modern mathematics. Although its origins may be traced back several hundred years, it was Poincaré who gave topology wings in a classic series of articles published around the turn of the century. While the earlier history, sometimes called the prehistory, is also considered, this volume is mainly concerned with the more recent history of topology, from Poincaré onwards.As will be seen from the list of contents the articles cover a wide range of topics. Some are more technical than others, but the reader without a great deal of technical knowledge should still find most of the articles accessible. Some are written by professional historians of mathematics, others by historically-minded mathematicians, who tend to have a different viewpoint. |
classify in math: Mathematical Knowledge Management Jonathan Borwein, William M. Farmer, 2006-09-30 This book constitutes the refereed proceedings of the 5th International Conference on Mathematical Knowledge Management, MKM 2006, held in Wokingham, UK, August 2006. The book presents 22 revised full papers. Coverage extends to the mathematical knowledge management at the intersection of mathematics, computer science, library science, and scientific publishing. The papers are organized in topical sections on proof representations, proof processing, knowledge extraction, knowledge representation, as well as systems and tools. |
classify in math: The Elements of Creativity and Giftedness in Mathematics B. Sriraman, Kyeong Hwa Lee, 2011-07-23 The Elements of Creativity and Giftedness in Mathematics edited by Bharath Sriraman and KyeongHwa Lee covers recent advances in mathematics education pertaining to the development of creativity and giftedness. The book is international in scope in the “sense” that it includes numerous studies on mathematical creativity and giftedness conducted in the U.S.A, China, Korea, Turkey, Israel, Sweden, and Norway in addition to cross-national perspectives from Canada and Russia. The topics include problem -posing, problem-solving and mathematical creativity; the development of mathematical creativity with students, pre and in-service teachers; cross-cultural views of creativity and giftedness; the unpacking of notions and labels such as high achieving, inclusion, and potential; as well as the theoretical state of the art on the constructs of mathematical creativity and giftedness. The book also includes some contributions from the first joint meeting of the American Mathematical Society and the Korean Mathematical Society in Seoul, 2009. Topics covered in the book are essential reading for graduate students and researchers interested in researching issues and topics within the domain of mathematical creativity and mathematical giftedness. It is also accessible to pre-service and practicing teachers interested in developing creativity in their classrooms, in addition to professional development specialists, mathematics educators, gifted educators, and psychologists. |
classify in math: Mathematical Entity Linking Methods and Applications Philipp Scharpf, 2025-05-09 This research book explores the adaptation of traditional Entity Linking techniques to Mathematical Entity Linking (MathEL) for STEM disciplines, addressing the limitations of current Information Retrieval methods in handling mathematical expressions. By developing and evaluating novel MathEL approaches using AI, Machine Learning, and the Wikidata Knowledge Graph, significant progress is achieved in areas such as Formula Concept recognition, semantic formula search, mathematical question answering, physics exam question generation, and STEM document classification. The study also introduces a suite of open-source Wikimedia MathEL tools, including AnnoMathTeX, MathQA, and PhysWikiQuiz, designed to advance Mathematical Information Retrieval and support innovative applications in academic and educational contexts. |
classify in math: Reform in School Mathematics and Authentic Assessment Thomas A. Romberg, 1995-03-30 Today new ways of thinking about learning call for new ways for monitoring learning. Reform in School Mathematics builds from the vision that assessment can become the bridge for instructional activity, accountability, and teacher development. It places teachers in key roles while developing the theme that we cannot reform the way in which school mathematics is taught without radically reforming the ways the effects of that teaching are monitored. Among others, this volume addresses the issues of the specification of performance standards, the development of authentic tasks, the measure of status and growth or a combination, the development of psychometric models, and the development of scoring rubrics. The new models proposed in this book give teachers a wealth of non-traditional assessment strategies and concrete ways to obtain measures of both group and individual differences in growth. |
classify in math: Mathematical Apocrypha: Stories and Anecdotes of Mathematicians and the Mathematical Steven G. Krantz, 2020-08-03 |
classify in math: Issues in General and Specialized Mathematics Research: 2012 Edition , 2013-01-10 Issues in General and Specialized Mathematics Research: 2012 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about General Mathematics. The editors have built Issues in General and Specialized Mathematics Research: 2012 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about General Mathematics in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in General and Specialized Mathematics Research: 2012 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/. |
classify in math: Comparing mathematics content in the National Assessment of Educational Progress (NEAP), Trends in International Mathematics and Science Study (TIMSS), and Program for International Student Assessment (PISA) 2003 assessments technical report. , 2006 |
classify in math: What Successful Math Teachers Do, Grades PreK-5 Edward S. Wall, Alfred S. Posamentier, 2006-09-14 The book is very easy to follow, with practical, research-based strategies for the teacher to use. It also provides insight to better remediate students who are struggling. -Allen Stevens, Math/Science Teacher Mooresville Middle School, NC The ′Precautions and Pitfalls′ section is such a welcome feature! This is a powerful book for beginning teachers or seasoned teachers who want to improve their practice to ensure student learning. -Rhonda Naylor, Math Teacher/Coordinator Campus Middle School, Englewood, CO The research and vignettes that follow each strategy clearly support why the strategy is important and how it can be effective. -Trish Guinee, Mathematics Coordinator Peoria Public Schools, IL Facilitate learning in PreK-5 mathematics and maximize student achievement with research-based teaching strategies! This easy-to-navigate guide offers research-based teaching strategies for introducing prekindergarten and elementary school students to the content and skills recommended by the NCTM principles and standards for mathematics. Using the popular format of the What Successful Teachers Do books, the authors present 47 dynamic learning activities, each including: A concise statement of the teaching strategy Research-based validations for the strategy How the strategy aligns with NCTM standards Grade-specific classroom applications and vignettes Precautions and possible pitfalls Primary sources for further reading This insightful resource allows teachers to increase students′ confidence in math-and their enthusiasm-with practical and engaging activities, while responding effectively to NCTM standards. |
classify in math: Teaching Mathematics Online: Emergent Technologies and Methodologies Juan, Angel A., Huertas, Maria A., Trenholm, Sven, Steegmann, Cristina, 2011-08-31 This book shares theoretical and applied pedagogical models and systems used in math e-learning including the use of computer supported collaborative learning, which is common to most e-learning practices--Provided by publisher. |
classify in math: Kindergarten Transition and Readiness Andrew J. Mashburn, Jennifer LoCasale-Crouch, Katherine C. Pears, 2018-06-09 This book presents a comprehensive overview of children’s transitions to kindergarten as well as proven strategies that promote their readiness. It presents theories and research to help understand children’s development during the early childhood years. It describes evidence-based interventions that support children in developmental areas essential to school success, including cognitive, social-emotional, and self-regulatory skills. Chapters review prekindergarten readiness programs designed to promote continuity of learning in anticipation of the higher grades and discuss transitional concerns of special populations, such as non-native speakers, children with visual and other disabilities, and children with common temperamental issues. The volume concludes with examples of larger-scale systemic approaches to supporting children’s development during the transition to kindergarten, describing a coherent system of early childhood education that promotes long-term development. Featured topics include: Consistency in children’s classroom experiences and implications for early childhood development. Changes in school readiness in U.S. kindergarteners. Effective transitions to kindergarten for low-income children. The transition into kindergarten for English language learners. The role of close teacher-child relationships during the transition into kindergarten. Children’s temperament and its effect on their kindergarten transitions. Kindergarten Transition and Readiness is a must-have resource for researchers, clinicians and related professionals, and graduate students in child and school psychology, educational psychology, social work, special education, and early childhood education. |
classify in math: Experiences in Math for Young Children Rosalind Charlesworth, 1996 Section 1 describes how math concepts are developed, acquired, promoted and assessed. Section 2 describes fundamental concepts of counting, number sets, shape, space, parts and whole. Section 3 includes applications; measuring volume, weight, length, temperature, graphs and time. It also includes thematic units. Section 4 describes higher level activities; symbols and sets. Section 5 includes concepts & operation for primary grades; patterns, fractions, geometry, graphs, charts and standard units of measure. |
classify in math: Featured Reviews in "Mathematical Reviews" 1995-1996 Donald G. Babbitt, Jane E. Kister, This collection of reprinted 'Featured Reviews' published in Mathematical Reviews (MR) in 1995 and 1996 makes widely available informed reviews of some of the best mathematics published recently. 'Featured Reviews' were introduced in MR at the beginning of 1995 in part to provide some guidance to the current research-level literature. With the exponential growth of publications in mathematical research in the first half-century of MR, it had become essentially impossible for users of MR to identify the most important new research-level books and papers, especially in fields outside of the users' own expertise. This work identifies some of the best new publications, papers, and books that are expected to have a significant impact on the area of pure or applied mathematics with which researchers are concerned. All of the papers reviewed here contain interesting new ideas or applications, a deep synthesis of existing ideas, or any combination of these. The volume is intended to lead the user to important new research across all fields covered by MR. |
classify in math: Classification of $mathcal {O}_infty $-Stable $C^*$-Algebras James Gabe, 2024-02-01 View the abstract. |
classify in math: Evaluation of the Achievement Levels for Mathematics and Reading on the National Assessment of Educational Progress National Academies of Sciences, Engineering, and Medicine, Division of Behavioral and Social Sciences and Education, Board on Testing and Assessment, Committee on National Statistics, Committee on the Evaluation of NAEP Achievement Levels for Mathematics and Reading, 2017-04-12 Since 1969, the National Assessment of Educational Progress (NAEP) has been providing policymakers, educators, and the public with reports on academic performance and progress of the nation's students. The assessment is given periodically in a variety of subjects: mathematics, reading, writing, science, the arts, civics, economics, geography, U.S. history, and technology and engineering literacy. NAEP is given to representative samples of students across the U.S. to assess the educational progress of the nation as a whole. Since 1992, NAEP results have been reported in relation to three achievement levels: basic, proficient, and advanced. However, the use of achievement levels has provoked controversy and disagreement, and evaluators have identified numerous concerns. This publication evaluates the NAEP student achievement levels in reading and mathematics in grades 4, 8, and 12 to determine whether the achievement levels are reasonable, reliable, valid, and informative to the public, and recommends ways that the setting and use of achievement levels can be improved. |
classify in math: Hands-On Mathematics, Grade 3 Jennifer Lawson, 2006 This teacher resource offers a detailed introduction to the Hands-On Mathematics program (guiding principles, implementation guidelines, an overview of the processes that grade 3 students use and develop during mathematics inquiry), and a classroom assessment plan complete with record-keeping templates and connections to the Achievement Levels outlined in the Ontario Mathematics Curriculum. It also provides strategies and visual resources for developing students' mental math skills. Each unit is divided into lessons that focus on specific curricular expectations. Each lesson has materials lists, activity descriptions, questioning techniques problem-solving examples, activity centre and extension ideas, assessment suggestions, activity sheets and visuals.--Portage & Main Press. |
classify in math: Mathematics Education , 2009 |
classify in math: Strategies for Common Core Mathematics Leslie Texas, Tammy Jones, 2013-12-04 This new, practical book provides an explanation of each of the eight mathematical practices and gives elementary school educators specific instructional strategies that align with the Common Core State Standards for Mathematics. Math teachers, curriculum coordinators, and district math supervisors get practical ideas on how to engage elementary school students in mathematical practices, develop problem-solving skills, and promote higher-order thinking. Learn how to scaffold activities across grades and get strategies you can implement immediately in your classroom. All K-5 mathematics educators should have this book in their professional libraries! |
classify in math: Encyclopedia of Giftedness, Creativity, and Talent Barbara Kerr, 2009-06-15 Library Journal Best Reference 2009 Educators have begun to recognize that identifying and accommodating students who are slower to learn may leave behind those who learn rapidly and think creatively. The nature of intelligence, the sources of innovation, and the ways to nurture special abilities are now topics of great interest to scholars in a wide variety of disciplines and to the general public. Policymakers, ranging from school board members to leaders of nations, must also make practical decisions about how communities and societies will treat their brightest, most promising students. With more than 400 entries, these two volumes review research findings on giftedness, talent, and creativity and their effect on education, training, science and the arts, government policy, and everyday life. The Encyclopedia of Giftedness, Creativity, and Talent provides a balanced, objective assessment of the various perspectives on the nature of intelligence, innovation, and optimal states. This state-of-the-art resource covers all major facets of the field, including achievement motivation, artistic ability, creative personality, emotional intelligence, gender differences, genius, intelligence testing, learning styles, minority underrepresentation, multiple intelligences, musical ability, prodigies, scientists, self actualization, thinking skills, and more. Key Themes Assessment and Identification Creativity Studies Cultural Issues Education Eminent People Exceptionalities Intelligence Neuroscience and Genetics Populations Programs and Interventions Psychological Issues Talent Domains Theories and Models Key Features Provides a balanced and critical discussion of the controversies that have animated research and theory making Clarifies which grouping and instructional strategies promote the best outcomes in achievement and social/emotional development of gifted children Helps educators make informed decisions about the identification strategies and the curriculum models that best meet their students' needs Contains thousands of pertinent facts from the fields of education, psychology, sociology, and the arts Evaluates policies that have hindered gifted children and makes a persuasive case for appropriately challenging and differentiated education Examines how giftedness, creativity, and talent were defined in the past and how current meanings have emerged. |
classify in math: Chinese Mathematical Astrology Ho Peng Yoke, 2004-03-01 Though there are a number of well-written works on Chinese divination, there are none that deal with the three sophisticated devices that were employed by the Chinese Astronomical Bureau in the eleventh century and for hundreds of years thereafter. Chinese experts applied the methods associated with these devices to both weather forecasting and to the interpretation of human affairs. Hidden by a veil of secrecy, these methods have always been relatively little known other than by their names. The first work in any language to explore these three methods, known as sanshi (three cosmic boards), this book sheds light on a topic which has been shrouded in mystery for centuries, having been kept secret for many years by the Chinese Astronomical Bureau. |
classify in math: The Three Billy Goats Gruff Peter Christen Asbjørnsen, Jørgen Engebretsen Moe, 1991 The three billy goats outsmart the hungry troll who lives under the bridge. |
classify in math: Teaching Mathematics Through Problem-Solving Akihiko Takahashi, 2021-03-31 This engaging book offers an in-depth introduction to teaching mathematics through problem-solving, providing lessons and techniques that can be used in classrooms for both primary and lower secondary grades. Based on the innovative and successful Japanese approaches of Teaching Through Problem-solving (TTP) and Collaborative Lesson Research (CLR), renowned mathematics education scholar Akihiko Takahashi demonstrates how these teaching methods can be successfully adapted in schools outside of Japan. TTP encourages students to try and solve a problem independently, rather than relying on the format of lectures and walkthroughs provided in classrooms across the world. Teaching Mathematics Through Problem-Solving gives educators the tools to restructure their lesson and curriculum design to make creative and adaptive problem-solving the main way students learn new procedures. Takahashi showcases TTP lessons for elementary and secondary classrooms, showing how teachers can create their own TTP lessons and units using techniques adapted from Japanese educators through CLR. Examples are discussed in relation to the Common Core State Standards, though the methods and lessons offered can be used in any country. Teaching Mathematics Through Problem-Solving offers an innovative new approach to teaching mathematics written by a leading expert in Japanese mathematics education, suitable for pre-service and in-service primary and secondary math educators. |
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How does the pKa value of certain weak acids present in food (2.85, 2.99, 3.13, 4.10, 4.76) affect the loss in mass of calcium carbonate (in grams, measured using an electronic balance, ±0.01 …
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To investigate the effect of various concentrations of copper (II) sulfate solutions (0.0 mg/L, 1.0 mg/L, 3.0 mg/L, 5.0 mg/L, 7.0 mg/L, 9.0 mg/L) on Vigna radiata plant growth using a soilless …
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How does the pKa value of certain weak acids present in food (2.85, 2.99, 3.13, 4.10, 4.76) affect the loss in mass of calcium carbonate (in grams, measured using an electronic balance, ±0.01 …
The mathematics behind Singapore's student loans (19/20)
Criterion B [3/4]: The student consistently and correctly uses correct mathematical notation, symbols, and terminology. Key terms and variables are defined and explained when first …
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To investigate the effect of various concentrations of copper (II) sulfate solutions (0.0 mg/L, 1.0 mg/L, 3.0 mg/L, 5.0 mg/L, 7.0 mg/L, 9.0 mg/L) on Vigna radiata plant growth using a soilless …
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High-scoring IB coursework consists of more than just words on a page — it's your passport to success in academics and beyond. A mediocre essay can close doors, but an outstanding one …
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How does the increase in the mean Body Mass Index (BMI) (24.0 – 30.9 kg/m2 ) for countries have an effect on their case-fatality (%) of patients with SARS-CoV-2, measured using the …
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