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Pictorial Mathematics
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Book Synopsis Pictorial Mathematics by : Guillermo Mendieta
Download or read book Pictorial Mathematics written by Guillermo Mendieta and published by Meaningful Learning. This book was released on 2006-02 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pictorial Mathematics is a comprehensive and engaging resource for teaching and learning second through algebra level mathematics. It uses multiple representations and effective visuals to help learners with a wide variety of learning styles to develop a strong conceptual understanding of each concept. Pictorial Mathematics provides the perfect bridge between the abstract and the concrete. Its 400 pages are packed with invaluable tools to help teachers, parents and the learner develop meaning, connections and a deeper conceptual understanding of key mathematical concepts. Inside, you?ll find such resources as:More than 1,000 engaging visual exercises, Powerful and engaging models for the development of conceptual understanding of place value, fractions, ratios, geometry, the four operations and algebra concepts, Energizing tasks -- for small groups, large classrooms, or individuals alike, Master guides to create personalized pictorial problems, Tools to differentiate instruction, A complete set of 38 pictorial templates: from printable manipulatives to graphing paper with suggested activities for these. For previews of the book go to www.pictorialmath.com.
Book Synopsis Modelling and Applications in Mathematics Education by : Peter L. Galbraith
Download or read book Modelling and Applications in Mathematics Education written by Peter L. Galbraith and published by Springer Science & Business Media. This book was released on 2007-12-05 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims at showing the state-of-the-art in the field of modeling and applications in mathematics education. This is the first volume to do this. The book deals with the question of how key competencies of applications and modeling at the heart of mathematical literacy may be developed; with the roles that applications and modeling may play in mathematics teaching, making mathematics more relevant for students.
Book Synopsis Psychology and Mathematics Education by : Gila Hanna
Download or read book Psychology and Mathematics Education written by Gila Hanna and published by Frontiers Media SA. This book was released on 2023-09-05 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern Mathematics is constructed rigorously through proofs, based on truths, which are either axioms or previously proven theorems. Thus, it is par excellence a model of rational inquiry. Links between Cognitive Psychology and Mathematics Education have been particularly strong during the last decades. Indeed, the Enlightenment view of the rational human mind that reasons, makes decisions and solves problems based on logic and probabilities, was shaken during the second half of the twentieth century. Cognitive psychologists discovered that humans' thoughts and actions often deviate from rules imposed by strict normative theories of inference. Yet, these deviations should not be called "errors": as Cognitive Psychologists have demonstrated, these deviations may be either valid heuristics that succeed in the environments in which humans have evolved, or biases that are caused by a lack of adaptation to abstract information formats. Humans, as the cognitive psychologist and economist Herbert Simon claimed, do not usually optimize, but rather satisfice, even when solving problem. This Research Topic aims at demonstrating that these insights have had a decisive impact on Mathematics Education. We want to stress that we are concerned with the view of bounded rationality that is different from the one espoused by the heuristics-and-biases program. In Simon’s bounded rationality and its direct descendant ecological rationality, rationality is understood in terms of cognitive success in the world (correspondence) rather than in terms of conformity to content-free norms of coherence (e.g., transitivity).
Book Synopsis International Perspectives on Teaching and Learning Mathematics with Virtual Manipulatives by : Patricia S. Moyer-Packenham
Download or read book International Perspectives on Teaching and Learning Mathematics with Virtual Manipulatives written by Patricia S. Moyer-Packenham and published by Springer. This book was released on 2016-06-21 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores terminology, frameworks, and research being conducted worldwide on virtual manipulatives. It brings together international authors who provide their perspectives on virtual manipulatives in research and teaching. By defining terminology, explaining conceptual and theoretical frameworks, and reporting research, the authors provide a comprehensive foundation on the study and use of virtual manipulatives for mathematics teaching and learning. This foundation provides a common way for researchers to communicate about virtual manipulatives and build on the major works that have been conducted on this topic. By discussing these big ideas, the book advances knowledge for future research on virtual manipulatives as these dynamic tools move from computer platforms to hand-held, touch-screen, and augmented platforms.
Book Synopsis Mathematics Form and Function by : Saunders MacLane
Download or read book Mathematics Form and Function written by Saunders MacLane and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book records my efforts over the past four years to capture in words a description of the form and function of Mathematics, as a background for the Philosophy of Mathematics. My efforts have been encouraged by lec tures that I have given at Heidelberg under the auspices of the Alexander von Humboldt Stiftung, at the University of Chicago, and at the University of Minnesota, the latter under the auspices of the Institute for Mathematics and Its Applications. Jean Benabou has carefully read the entire manuscript and has offered incisive comments. George Glauberman, Car los Kenig, Christopher Mulvey, R. Narasimhan, and Dieter Puppe have provided similar comments on chosen chapters. Fred Linton has pointed out places requiring a more exact choice of wording. Many conversations with George Mackey have given me important insights on the nature of Mathematics. I have had similar help from Alfred Aeppli, John Gray, Jay Goldman, Peter Johnstone, Bill Lawvere, and Roger Lyndon. Over the years, I have profited from discussions of general issues with my colleagues Felix Browder and Melvin Rothenberg. Ideas from Tammo Tom Dieck, Albrecht Dold, Richard Lashof, and Ib Madsen have assisted in my study of geometry. Jerry Bona and B.L. Foster have helped with my examina tion of mechanics. My observations about logic have been subject to con structive scrutiny by Gert Miiller, Marian Boykan Pour-El, Ted Slaman, R. Voreadou, Volker Weispfennig, and Hugh Woodin.
Book Synopsis Handbook of the History and Philosophy of Mathematical Practice by : Bharath Sriraman
Download or read book Handbook of the History and Philosophy of Mathematical Practice written by Bharath Sriraman and published by Springer Nature. This book was released on with total page 3221 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Street-Fighting Mathematics by : Sanjoy Mahajan
Download or read book Street-Fighting Mathematics written by Sanjoy Mahajan and published by MIT Press. This book was released on 2010-03-05 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.
Book Synopsis Bulletin by : Kansas Association of Teachers of Mathematics
Download or read book Bulletin written by Kansas Association of Teachers of Mathematics and published by . This book was released on 1927 with total page 1060 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis How Chinese Teach Mathematics by : Lianghuo Fan
Download or read book How Chinese Teach Mathematics written by Lianghuo Fan and published by World Scientific. This book was released on 2015-03-13 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book represents another concerted research effort concerning Chinese mathematics education, with contributions from the world's leading scholars and most active researchers. The book presents the latest original research work with a particular focus on the "teaching" side of Chinese mathematics education to a wide international audience. There are mainly three sections in the book. The first section introduces readers to a historical and contemporary perspective, respectively, on traditional mathematical teaching in ancient China and on how modern Chinese mathematics teachers teach and pursue their pre-service training and in-service professional development. The second section presents studies investigating a wide range of issues at both the macro- and micro-levels on how Chinese mathematics teachers teach mathematics. The third section focuses on Chinese mathematics teachers, investigating issues about their knowledge, belief, teacher training and professional development. Like its predecessor, "How Chinese Learn Mathematics: Perspectives from Insiders," this book is a must for educational researchers, practitioners, and policy-makers who are interested in knowing more about mathematics teaching, teachers, teacher education and professional development concerning Chinese teachers and learners.Contents: Focusing on Chinese Mathematics Teaching, Teachers and Teacher Education: An Introduction"Historical and Contemporary Perspectives: "The Wisdom of Traditional Mathematical Teaching in China "(DAI Qin and CHEUNG Ka Luen)" How Chinese Teachers Teach Mathematics and Pursue Professional Development: Perspectives from ContemporaryInternational Research "(FAN Lianghuo, MIAO Zhenzhen and MOK Ah Chee Ida)" "Understanding the Chinese Ways of Teaching Mathematics: " Mathematics Teaching in a Chinese Classroom: A Hybrid-Model Analysis of Opportunities for Students' Learning "(HUANG Rongjin, MILLER L Diane and TZUR Ron)"Achieving Coherence in the Mathematics Classroom: Toward a Framework for Examining Instructional Coherence "(WANG Tao, CAI Jinfa and HWANG Stephen)" Elementary School Teachers' Instruction in Measurement: Cases of Classroom Teaching of Spatial Measurement in Taiwan "(HUANG Hsin-Mei E)" Pedagogical and Curriculum Potentials of Homework: A Case Study about Geometric Proofs in Shanghai "(FANG Yanping)" Teaching Calculation of Time Intervals: Comparing Mathematics Competence of Students in Macau, Hong Kong and the Netherlands "(LI Titus Siu Pang)" Teaching Number Sense via Interactive Multimedia in a Primary School in Taiwan "(YANG Der-Ching, CHEN Pei-Chieh, TSAI Yi Fang and HSIEH Tien-Yu)"Teaching Geometrical Theorems in Grade 8 Using the "Shen Tou" Method: A Case Study in Shanghai "(DING Liping, JONES Keith and ZHANG Dianzhou)" Implementation of Objectives Based on the Curriculum Standards: A Case of Teaching Using Letter to Represent Number at a Chinese Primary School in Chinese Mainland "(HUANG Xingfeng, YANG Jinglei and LI Shiqi)" Chinese Project-based Classroom Practices: Promoting Students' Engagement in Mathematical Activities "(XU Binyan and ZHU Guangtian)"A Large-Scale Video Survey on Taiwanese Fourth-Grade Classrooms of Mathematical Teaching Behaviors "(LEE Yuan-Shun and LIN Fou-Lai)" Features of Exemplary Lessons under the Curriculum Reform in Chinese Mainland: A Study of Thirteen Elementary Mathematics Lessons "(MA Yunpeng and ZHAO Dongchen)" Qingpu Mathematics Teaching Reform and Its Impact on Student Learning "(GU Lingyuan, YANG Yudong and HE Zhenzhen)""Chinese Mathematics Teachers, Teacher Educati
Book Synopsis The Man of Numbers by : Keith Devlin
Download or read book The Man of Numbers written by Keith Devlin and published by A&C Black. This book was released on 2011-11-07 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1202, a 32-year old Italian finished one of the most influential books of all time, which introduced modern arithmetic to Western Europe. Devised in India in the seventh and eighth centuries and brought to North Africa by Muslim traders, the Hindu-Arabic system helped transform the West into the dominant force in science, technology, and commerce, leaving behind Muslim cultures which had long known it but had failed to see its potential. The young Italian, Leonardo of Pisa (better known today as Fibonacci), had learned the Hindu number system when he traveled to North Africa with his father, a customs agent. The book he created was Liber abbaci, the 'Book of Calculation', and the revolution that followed its publication was enormous. Arithmetic made it possible for ordinary people to buy and sell goods, convert currencies, and keep accurate records of possessions more readily than ever before. Liber abbaci's publication led directly to large-scale international commerce and the scientific revolution of the Renaissance. Yet despite the ubiquity of his discoveries, Leonardo of Pisa remains an enigma. His name is best known today in association with an exercise in Liber abbaci whose solution gives rise to a sequence of numbers - the Fibonacci sequence - used by some to predict the rise and fall of financial markets, and evident in myriad biological structures. In The Man of Numbers, Keith Devlin recreates the life and enduring legacy of an overlooked genius, and in the process makes clear how central numbers and mathematics are to our daily lives.
Book Synopsis Discrete Mathematics by : Norman Biggs
Download or read book Discrete Mathematics written by Norman Biggs and published by Oxford University Press. This book was released on 2002-12-19 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete mathematics is a compulsory subject for undergraduate computer scientists. This new edition includes new chapters on statements and proof, logical framework, natural numbers and the integers and updated exercises from the previous edition.
Book Synopsis A Basic Course in Real Analysis by : Ajit Kumar
Download or read book A Basic Course in Real Analysis written by Ajit Kumar and published by CRC Press. This book was released on 2014-01-10 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the authors’ combined 35 years of experience in teaching, A Basic Course in Real Analysis introduces students to the aspects of real analysis in a friendly way. The authors offer insights into the way a typical mathematician works observing patterns, conducting experiments by means of looking at or creating examples, trying to understand the underlying principles, and coming up with guesses or conjectures and then proving them rigorously based on his or her explorations. With more than 100 pictures, the book creates interest in real analysis by encouraging students to think geometrically. Each difficult proof is prefaced by a strategy and explanation of how the strategy is translated into rigorous and precise proofs. The authors then explain the mystery and role of inequalities in analysis to train students to arrive at estimates that will be useful for proofs. They highlight the role of the least upper bound property of real numbers, which underlies all crucial results in real analysis. In addition, the book demonstrates analysis as a qualitative as well as quantitative study of functions, exposing students to arguments that fall under hard analysis. Although there are many books available on this subject, students often find it difficult to learn the essence of analysis on their own or after going through a course on real analysis. Written in a conversational tone, this book explains the hows and whys of real analysis and provides guidance that makes readers think at every stage.
Book Synopsis Pictorial Mathematics by : Yeshiva University
Download or read book Pictorial Mathematics written by Yeshiva University and published by . This book was released on 193? with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis How the Brain Learns Mathematics by : David A. Sousa
Download or read book How the Brain Learns Mathematics written by David A. Sousa and published by Corwin Press. This book was released on 2014-11-13 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: To reach all your math students, use your brain—and theirs, too! This updated bestseller takes readers to the next level with new brain-friendly strategies backed by the latest research and even more ways to seamlessly incorporate what you learn about your students’ developing minds into your math classroom. Discover the cognitive mechanisms for learning math, explore factors that contribute to learning difficulties, and follow a four-step teaching model that relates classroom experience to real-world applications. Features include: New strategies for motivating adolescents Integration of the arts into mathematics instruction New information on how technology affects attention and memory Expanded sections on number sense and ELL instruction More than 160 new references
Book Synopsis Leading Primary Mathematics by : Catherine Foley
Download or read book Leading Primary Mathematics written by Catherine Foley and published by SAGE. This book was released on 2019-03-18 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides guidance and insight into ′what mathematics leadership looks like in practice′ and shows readers how they can develop from a confident teacher into a curriculum subject leader. It does this through a careful blend of pedagogy and practical application, supported by a range of real-world case studies and opportunities to reflect critically on classroom practice. Key coverage includes: The planning and application that underpins subject leadership How international perspectives can influence leadership of mathematics How to develop fluency through problem solving and reasoning How to champion inclusive practice in mathematics Assessing children′s understanding This is essential reading for anyone studying primary mathematics on initial teacher education courses, including undergraduate (BA Ed, BA with QTS) and postgraduate (PGCE, PGDE, School Direct and SCITT) routes, NQTs seeking to develop into curriculum leadership roles and those already leading mathematics in their school.
Book Synopsis Mathematical Methods for the Physical Sciences by : K. F. Riley
Download or read book Mathematical Methods for the Physical Sciences written by K. F. Riley and published by Cambridge University Press. This book was released on 1974-10-03 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for first and second year undergraduates at universities and polytechnics, as well as technical college students.
Book Synopsis Philosophy of Mathematics by : James Robert Brown
Download or read book Philosophy of Mathematics written by James Robert Brown and published by Routledge. This book was released on 2010-03-17 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: In his long-awaited new edition of Philosophy of Mathematics, James Robert Brown tackles important new as well as enduring questions in the mathematical sciences. Can pictures go beyond being merely suggestive and actually prove anything? Are mathematical results certain? Are experiments of any real value? This clear and engaging book takes a unique approach, encompassing non-standard topics such as the role of visual reasoning, the importance of notation, and the place of computers in mathematics, as well as traditional topics such as formalism, Platonism, and constructivism. The combination of topics and clarity of presentation make it suitable for beginners and experts alike. The revised and updated second edition of Philosophy of Mathematics contains more examples, suggestions for further reading, and expanded material on several topics including a novel approach to the continuum hypothesis.
