Educational: Mathematics and numeracy

Book SynopsisDeveloping a positive attitude towards science and mathematics is essential to developing proficiency in these subjects. Recognizing this, Bringing Science and Mathematics to Life for All Learners provides interesting teaching methods and connects them to recent pedagogical approaches that span the scientific and mathematical curricula. It builds upon the expanding knowledge of what works in classrooms, and suggests how new approaches to teaching and learning can transform science and mathematics instructions.The book is designed to help students in learning science and mathematics. It has many research-based and standards-driven activities, lesson plans, and active learning techniques to reach diverse student groups. Active group engagement and continuity in scientific and mathematical experiences are stressed as motivating factors for students. Presented in a creative manner, the ultimate goal of this book is to deepen the collective conversation, challenge existing ways of thinking, and provide up-to-date tools for educators so that they can help improve the science and mathematics skill levels of others.Table of ContentsHelping All Students Learn Science and Math; Student Inquiry in Science and Mathematics; Collaborative Learning; Differentiated Instruction: Multiple Paths to Learning and Assessment; Science for All Students: Collaborative Inquiry and Active Involvement; Learning about Mathematics: Mathematical Reasoning and Collaborative Problem Solving; Project-based Learning: Projects, Thematic Units, and Collaboration; Technology, Science, and Math: The Motivating and Collaborative Possibilities of Powerful Tools.

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Book SynopsisDeveloping a positive attitude towards science and mathematics is essential to developing proficiency in these subjects. Recognizing this, Bringing Science and Mathematics to Life for All Learners provides interesting teaching methods and connects them to recent pedagogical approaches that span the scientific and mathematical curricula. It builds upon the expanding knowledge of what works in classrooms, and suggests how new approaches to teaching and learning can transform science and mathematics instructions.The book is designed to help students in learning science and mathematics. It has many research-based and standards-driven activities, lesson plans, and active learning techniques to reach diverse student groups. Active group engagement and continuity in scientific and mathematical experiences are stressed as motivating factors for students. Presented in a creative manner, the ultimate goal of this book is to deepen the collective conversation, challenge existing ways of thinking, and provide up-to-date tools for educators so that they can help improve the science and mathematics skill levels of others.Table of ContentsHelping All Students Learn Science and Math; Student Inquiry in Science and Mathematics; Collaborative Learning; Differentiated Instruction: Multiple Paths to Learning and Assessment; Science for All Students: Collaborative Inquiry and Active Involvement; Learning about Mathematics: Mathematical Reasoning and Collaborative Problem Solving; Project-based Learning: Projects, Thematic Units, and Collaboration; Technology, Science, and Math: The Motivating and Collaborative Possibilities of Powerful Tools.

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Book SynopsisClassroom Innovations through Lesson Study is an APEC EDNET (Asia-Pacific Economic Cooperation Education Network) project that aims to improve the quality of education in the area of mathematics. This book includes challenges of lesson study implementation from members of the APEC economies.Lesson study is one of the best ways to improve the quality of teaching. It is a model approach for improvement of teacher education across the globe. This book focuses on mathematics education, teacher education, and curriculum implementation and reforms.

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Book SynopsisClassroom Innovations through Lesson Study is an APEC EDNET (Asia-Pacific Economic Cooperation Education Network) project that aims to improve the quality of education in the area of mathematics. This book includes challenges of lesson study implementation from members of the APEC economies.Lesson study is one of the best ways to improve the quality of teaching. It is a model approach for improvement of teacher education across the globe. This book focuses on mathematics education, teacher education, and curriculum implementation and reforms.

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Book Synopsis'The exposition is exceptionally clear, and keeps its audience in mind: in the end, this is ‘a book for adults on mathematics for children’. ‘Adults’ here includes parents as well as teachers; in the author’s words, ‘Every parent is automatically an educator!’ There is considerable merit in including parents in the elementary mathematics conversation; it is a pleasure to see books like Kupferman’s that explain elementary math to adults. If our students, in their future role as teachers, can enlist parents as allies, everyone will benefit. These books are one good way to begin addressing that challenge.'MAA ReviewsThis book covers the elementary school mathematics curriculum common in most parts of the world. Its aim is to serve educators (teachers and parents) as a guide for teaching mathematics at elementary school level. The book focuses both on content knowledge and on pedagogical content knowledge. It bridges the gap between fundamental mathematical principles and good teaching practices. It also offers the reader a glimpse on how mathematicians perceive elementary mathematics and presents ideas for specific mathematical activities.Volume 2 focuses on content taught in the higher grades of elementary school. It covers the following topics: multiplication and division of multi-digit numbers, divisibility and primality, divisibility signs, sequences, fractions and their representations, and fraction arithmetic.The author is also a co-founder of Matific, an adaptive game-based teaching and learning tool for primary school mathematics. Independent studies have shown Matific to improve test scores, reduce maths anxiety, and increase motivation. Matific is available in 26 languages and aligned to mathematics curricula in 46 countries. Awards include Best Mathematics Instructional Solution, Best Game-Based Curriculum Solution and Best Educational App. For a trial, visit https://www.matific.com.

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Book Synopsis'The exposition is exceptionally clear, and keeps its audience in mind: in the end, this is ‘a book for adults on mathematics for children’. ‘Adults’ here includes parents as well as teachers; in the author’s words, ‘Every parent is automatically an educator!’ There is considerable merit in including parents in the elementary mathematics conversation; it is a pleasure to see books like Kupferman’s that explain elementary math to adults. If our students, in their future role as teachers, can enlist parents as allies, everyone will benefit. These books are one good way to begin addressing that challenge.'MAA ReviewsThis book covers the elementary school mathematics curriculum common in most parts of the world. Its aim is to serve educators (teachers and parents) as a guide for teaching mathematics at elementary school level. The book focuses both on content knowledge and on pedagogical content knowledge. It bridges the gap between fundamental mathematical principles and good teaching practices. It also offers the reader a glimpse on how mathematicians perceive elementary mathematics and presents ideas for specific mathematical activities.Volume 2 focuses on content taught in the higher grades of elementary school. It covers the following topics: multiplication and division of multi-digit numbers, divisibility and primality, divisibility signs, sequences, fractions and their representations, and fraction arithmetic.The author is also a co-founder of Matific, an adaptive game-based teaching and learning tool for primary school mathematics. Independent studies have shown Matific to improve test scores, reduce maths anxiety, and increase motivation. Matific is available in 26 languages and aligned to mathematics curricula in 46 countries. Awards include Best Mathematics Instructional Solution, Best Game-Based Curriculum Solution and Best Educational App. For a trial, visit https://www.matific.com.

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Book SynopsisThis guidebook is for college instructors who teach a course in Introduction to Logic at a teachers college or provide a workshop in this subject for in-service mathematics teachers. It can also be used by high school mathematics teachers for teaching students who are capable and interested in Logic.Learning is based on reading Alice's Adventures in Wonderland, and discussing quotes from that book as a trigger for developing basic notions in Logic. This guidebook includes the student's worksheets with exemplary solutions, the background in elementary logic, and pedagogical comments. There is a student's workbook that accompanies this guidebook which includes the student's worksheets without solutions.Ordinary textbooks for such a course are purely mathematical in their nature, and students usually find the course difficult, boring and very technical. Our approach is likely to motivate the students through reading the classic novel Alice's Adventures in Wonderland, written by Lewis Carroll who was not only one of the best storytellers but also a logician.Click here for Student’s Workbook

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Book SynopsisThis is a student's workbook that accompanies the teacher's guidebook of the same title. It is for students who take a course in Introduction to Logic at a teachers college, whose instructor decides to provide students with a learning environment based on reading Alice's Adventures in Wonderland, and discussing quotes from that book as a trigger for developing basic notions in Logic.This workbook includes worksheets for independent work or for small-group activities. It is also possible to use this workbook in a workshop for in-service mathematics teachers, and also for teaching logic at high school level for capable and interested students.Click here for Teacher’s Guidebook

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Book Synopsisremove remove This book was developed with the caring and concerned adult in mind and is a one-stop for anyone who would like to help a child develop problem solving thinking. They will become adept at the use of problem solving strategies over the course of their development from birth. For each age range, this book provides developmental information, relevant mathematical concepts, sample problems with multiple solutions, and finally activities to engage with as a family in order to develop mathematical thinking and problem solving skill.

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Book SynopsisThis guidebook is for college instructors who teach a course in Introduction to Logic at a teachers college or provide a workshop in this subject for in-service mathematics teachers. It can also be used by high school mathematics teachers for teaching students who are capable and interested in Logic.Learning is based on reading Alice's Adventures in Wonderland, and discussing quotes from that book as a trigger for developing basic notions in Logic. This guidebook includes the student's worksheets with exemplary solutions, the background in elementary logic, and pedagogical comments. There is a student's workbook that accompanies this guidebook which includes the student's worksheets without solutions.Ordinary textbooks for such a course are purely mathematical in their nature, and students usually find the course difficult, boring and very technical. Our approach is likely to motivate the students through reading the classic novel Alice's Adventures in Wonderland, written by Lewis Carroll who was not only one of the best storytellers but also a logician.Click here for Student’s Workbook

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Book Synopsisremove remove This book was developed with the caring and concerned adult in mind and is a one-stop for anyone who would like to help a child develop problem solving thinking. They will become adept at the use of problem solving strategies over the course of their development from birth. For each age range, this book provides developmental information, relevant mathematical concepts, sample problems with multiple solutions, and finally activities to engage with as a family in order to develop mathematical thinking and problem solving skill.

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Book Synopsis'… this could make an ideal end-of-year prize for a high-school student who is fascinated by all aspects of number. The subsections provide ideas and opportunities for mathematical exploration. This book might also be deemed a suitable resource for first-year undergraduates in that, via independent study, it would allow such students to broaden their knowledge of various number-theoretic ideas. I would recommend it for the purposes given above.'The Mathematical GazetteThis book is more than a mathematics textbook. It discusses various kinds of numbers and curious interconnections between them. Without getting into hardcore and difficult mathematical technicalities, the book lucidly introduces all kinds of numbers that mathematicians have created. Interesting anecdotes involving great mathematicians and their marvelous creations are included. The reader will get a glimpse of the thought process behind the invention of new mathematics. Starting from natural numbers, the book discusses integers, real numbers, imaginary and complex numbers and some special numbers like quaternions, dual numbers and p-adic numbers.Real numbers include rational, irrational and transcendental numbers. Iterations on real numbers are shown to throw up some unexpected behavior, which has given rise to the new science of 'Chaos'. Special numbers like e, pi, golden ratio, Euler's constant, Gauss's constant, amongst others, are discussed in great detail.The origin of imaginary numbers and the use of complex numbers constitute the next topic. It is shown why modern mathematics cannot even be imagined without imaginary numbers. Iterations on complex numbers are shown to generate a new mathematical object called 'Fractal', which is ubiquitous in nature. Finally, some very special numbers, not mentioned in the usual textbooks, and their applications, are introduced at an elementary level.The level of mathematics discussed in this book is easily accessible to young adults interested in mathematics, high school students, and adults having some interest in basic mathematics. The book concentrates more on the story than on rigorous mathematics.

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Book SynopsisParents need to take an ever-increasing role in their child's learning experience. However, what to do and how to do it is often not prescribed to the parents. This book offers a wide variety of aspects related to the parent's role as a support to their child's learning of mathematics, and above all appreciation for the subject.The uniqueness of this book is that we provide the parent the information they need about how mathematics is taught in today's early grades. We then provide a plethora of ideas that can motivate children with information beyond that which is taught in the classroom.

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Book SynopsisMany schools throughout the United States are now employing coaches to support teachers in the teaching of mathematics. Very often, these are professionals selected from the current teaching ranks who did not receive any special training to serve as a coach. This book provides the skills, knowledge, and lessons from experience that lead such a mentor to function effectively. Aside from describing the basic duties of an effective math coach, we also provide a plethora of resources to enrich instruction, improve problem-solving direction, and provide teachers with a wide variety of techniques to enhance their teaching effectiveness.

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Book SynopsisParents need to take an ever-increasing role in their child's learning experience. However, what to do and how to do it is often not prescribed to the parents. This book offers a wide variety of aspects related to the parent's role as a support to their child's learning of mathematics, and above all appreciation for the subject.The uniqueness of this book is that we provide the parent the information they need about how mathematics is taught in today's early grades. We then provide a plethora of ideas that can motivate children with information beyond that which is taught in the classroom.

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Book SynopsisThe book is written to share ideas stemming from technology-rich K-12 mathematics education courses taught by the author to American and Canadian teacher candidates over the past two decades. It includes examples of problems posed by the teacher candidates using computers. These examples are analyzed through the lenses of the theory proposed in the book.Also, the book includes examples of computer-enabled formulation as well as reformulation of rather advanced problems associated with the pre-digital era problem-solving curriculum. The goal of the problem reformulation is at least two-fold: to make curriculum materials compatible with the modern-day emphasis on democratizing mathematics education and to find the right balance between positive and negative affordances of technology.The book focuses on the use of spreadsheets, Wolfram Alpha, Maple, and The Graphing Calculator (also known as NuCalc) in problem posing. It can be used by pre-service and in-service teachers interested in K-12 mathematics curriculum development in the digital era as well as by those studying mathematics education from a theoretical perspective.

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Book SynopsisThe book takes a problem-solving approach to learning elementary school mathematics and develops concepts by considering examples to uncover patterns. It includes both standard and non-standard problems and exercises, some of which are challenging while others are mainly for reinforcement.The book is written in a relaxed style and includes amusing quotations as well as brief biographies and fun facts about the people who made these quotes. Also included are interesting and surprising applications of mathematics.

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Book SynopsisThe book takes a problem-solving approach to learning elementary school mathematics and develops concepts by considering examples to uncover patterns. It includes both standard and non-standard problems and exercises, some of which are challenging while others are mainly for reinforcement.The book is written in a relaxed style and includes amusing quotations as well as brief biographies and fun facts about the people who made these quotes. Also included are interesting and surprising applications of mathematics.

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Book SynopsisThe International Mathematical Olympiad (IMO) is a competition for high school students. China has taken part in the IMO 21 times since 1985 and has won the top ranking for countries 14 times, with a multitude of golds for individual students. The six students China has sent every year were selected from 20 to 30 students among approximately 130 students who took part in the annual China Mathematical Competition during the winter months. This volume comprises a collection of original problems with solutions that China used to train their Olympiad team in the years from 2006 to 2008. Mathematical Olympiad problems with solutions for the years 2002-2006 appear in an earlier volume, Mathematical Olympiad in China.Table of Contents2006-2007 China Mathematical Competition; 2006-2007 China Mathematical Competition (Extra Tests); 2007-2008 China Mathematical Olympiad; 2007-2008 China National Team Selection Test; 2006-2007 China Girls' Mathematical Olympiad; 2006-2007 China Western Mathematical Olympiad; 2007-2008 China Southeastern Mathematical Olympiad; 2007-2008 International Mathematical Olympiad.

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Book SynopsisThis anthology, consisting of two volumes, is intended to equip background researchers, practitioners and students of international mathematics education with intimate knowledge of mathematics education in Russia.Volume I, entitled Russian Mathematics Education: History and World Significance, consists of several chapters written by distinguished authorities from Russia, the United States and other nations. It examines the history of mathematics education in Russia and its relevance to mathematics education throughout the world. The second volume, entitled Russian Mathematics Education: Programs and Practices will examine specific Russian programs in mathematics, their impact and methodological innovations. Although Russian mathematics education is highly respected for its achievements and was once very influential internationally, it has never been explored in depth. This publication does just that.Table of ContentsRussian Mathematics Education Before the Revolution 1917 (T Polyakova); Soviet Mathematics Education in 1917-1956 (A Karp); Sixties Through Eighties (A Abramov); Challenges and Issues in Post-Soviet Mathematics Education (M Bashmakovi); Mathematicians and Mathematics Educators: Traditions of Collaboration (A Sossinsky); Soviet Influence on Mathematics Education in the Socialistic Countries (A Pardala et al.); Soviet and Russian Influences on Research in Mathematics Education (J Kilpatrick); Relevance of Russian Elementary Mathematics Education (J Schmittau); History of Mathematics Teacher Education (N Stephanova); Soviet and Russian Contribution to Mathematics Competitions (M Saul et al.); Developing an Agenda for Comparative Studies: the Example of Russia (B Vogeli).

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Book SynopsisThis book is the first in the series of the yearbooks of the Association of Mathematics Educators in Singapore. It is highly unique as it addresses a focused theme of mathematics education. The chapters of the book illustrate the immense diversity within the theme and presents research that translates into classroom pedagogies.The chapters of the book illustrate how mathematical problems may be crafted and infused in classroom teaching. Several novel pedagogies, such as learning mathematics through productive failure, problem posing and generative activities are presented in the book. The chapters are comprehensive and laden with evidence-based examples for both mathematics educators and classroom teachers of mathematics. The book is an invaluable contribution towards the already established field of research of mathematical problem solving. It is also a must read for graduate research students and mathematics educators.Table of ContentsMathematical Problem Solving in Singapore Schools; Using Innovation Techniques to Generate NewA" Problems, Mathematical Problems for the Secondary Classroom; Mathematical Problem Posing in Singapore Primary Schools; Integrating Open-Ended Problems in the Lower Secondary Mathematics Lesson; Arousing Students' Curiosity and Mathematical Problem Solving; Learning Through Productive Failure in Mathematical Problem Solving; Tasks and Pedagogies that Facilitate Mathematical Problem Solving; Note Taking as Deliberative Pedagogy: Scaffolding Problem Solving Learning; Solving Mathematical Problems by Investigation; Mathematical Modeling and Real Life Problem Solving; Generative Activities in Singapore (GenSing): Pedagogy and Practice, What's Next?.

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Book SynopsisDeveloping mathematical thinking is one of major aims of mathematics education. In mathematics education research, there are a number of researches which describe what it is and how we can observe in experimental research. However, teachers have difficulties to develope it in the classrooms. This book is the result of lesson studies over the past 50 years. It describes three perspectives of mathematical thinking: Mathematical Attitude (Minds set), Mathematical Methods in General and Mathematical Ideas with Content and explains how to develop them in the classroom with illuminating examples.Table of ContentsMathematical Thinking: As a Theory of Teaching Mathematics for Developing Children Learning Mathematics by/for Themselves: Mathematical Thinking as the Aim of Education; The Importance of Cultivate Mathematical Thinking; The Set of Mind and Mathematical Thinking; Mathematical Methods; Mathematical Ideas; Mathematical Attitude; Questioning to Enhance Mathematical Thinking; How to Teach Mathematical Thinking: From the Viewpoint of the Assessment.

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Book SynopsisDeveloping mathematical thinking is one of major aims of mathematics education. In mathematics education research, there are a number of researches which describe what it is and how we can observe in experimental research. However, teachers have difficulties to develope it in the classrooms. This book is the result of lesson studies over the past 50 years. It describes three perspectives of mathematical thinking: Mathematical Attitude (Minds set), Mathematical Methods in General and Mathematical Ideas with Content and explains how to develop them in the classroom with illuminating examples.Table of ContentsMathematical Thinking: As a Theory of Teaching Mathematics for Developing Children Learning Mathematics by/for Themselves: Mathematical Thinking as the Aim of Education; The Importance of Cultivate Mathematical Thinking; The Set of Mind and Mathematical Thinking; Mathematical Methods; Mathematical Ideas; Mathematical Attitude; Questioning to Enhance Mathematical Thinking; How to Teach Mathematical Thinking: From the Viewpoint of the Assessment.

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Book SynopsisThis book will introduce the history and practices of mathematics education in Korea. How it has been influenced from Japan, America, and other countries, and has developed into the unique Korean style of mathematics education. The editors have planned to include most of the topics researchers outside Korea want to know mathematics education in Korea.Table of ContentsCurriculum: History of Mathematics Curriculum in Korea; Current National Mathematics Curriculum (Including both Elementary and Secondary); Current Mathematics Textbooks; Future Directions for Mathematics Curriculum; Future Directions for Mathematics Textbooks; Teaching and Learning: Reform Based Instruction in Korea; Teaching and Learning Practices in Mathematics Classrooms: Focused on Number and Operations; Teaching and Learning Practices in Mathematics Classrooms: Focused on Geometry; Teaching and Learning Practices in Mathematics Classrooms: Focused on Probability and Statistics; Teaching and Learning Practices in Mathematics Classrooms: Focused on Problem Solving; Assessment: Assessments Administrated by the Schools, by Office of Education, and by Nation; Evaluation during Instruction by Teachers; Mathematics test in SAT.

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Book SynopsisThis sixth volume, in the series of yearbooks by the Association of Mathematics Educators in Singapore, entitled Learning Experiences to Promote Mathematics Learning is unique in that it focuses on a single theme in mathematics education. The objective is for teachers and researchers to advance the learning of mathematics through meaningful experiences.Several renowned international and Singapore scholars have published their work in this volume. The fourteen chapters of the book illustrate evidence-based practices that school teachers and researchers can experiment with in their own classrooms to bring about meaningful learning outcomes. Three broad themes, namely fundamentals for active and motivated learning, learning experiences for developing mathematical processes, and use of ICT tools for learning through visualizations, simulations and representations, shape the ideas in these chapters. The book makes a significant contribution towards the learning of mathematics. It is a good resource for mathematics teachers, educators and research students.

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Book SynopsisA review of 100 special schools for the mathematically talented students in twenty nations. Appendices contain sample syllabi, tests and documents.

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Book SynopsisThe goal of the book is to technologically enhance the preparation of mathematics schoolteachers using an electronic spreadsheet integrated with Maple and Wolfram Alpha — digital tools capable of sophisticated symbolic computations. The content of the book is a combination of mathematical ideas and concepts associated with pre-college problem solving curriculum and their extensions into more advanced mathematical topics.The book provides prospective and practicing teachers with a foundation for developing a deep understanding of many concepts fundamental to the teaching of school mathematics. It also provides the teachers with a technical expertise in designing spreadsheet-based computational environments.Consistent with the current worldwide guidelines for technology-enhanced teacher preparation, the book emphasizes the integration of context, mathematics, and technology as a method for teaching mathematics. Throughout the book, a number of mathematics education documents developed around the world (Australia, Canada, England, Japan, Singapore, United States) are reviewed as appropriate.Table of ContentsBasic Spreadsheet Functions and Techniques; Explorations with Addition and Multiplication Tables; Spreadsheet as a 3-D Modeling Tool; Prime Numbers; Mathematical Concepts as Tools in Spreadsheet Modeling; Pythagorean Triples; Recreational Mathematics; Historical Connection and Geometric Modeling; Computational Problem Solving in Context; Advanced Explorations with Fibonacci Numbers; Ideas for Individual Projects Using Integrated Spreadsheets;

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Book SynopsisThe goal of the book is to technologically enhance the preparation of mathematics schoolteachers using an electronic spreadsheet integrated with Maple and Wolfram Alpha — digital tools capable of sophisticated symbolic computations. The content of the book is a combination of mathematical ideas and concepts associated with pre-college problem solving curriculum and their extensions into more advanced mathematical topics.The book provides prospective and practicing teachers with a foundation for developing a deep understanding of many concepts fundamental to the teaching of school mathematics. It also provides the teachers with a technical expertise in designing spreadsheet-based computational environments.Consistent with the current worldwide guidelines for technology-enhanced teacher preparation, the book emphasizes the integration of context, mathematics, and technology as a method for teaching mathematics. Throughout the book, a number of mathematics education documents developed around the world (Australia, Canada, England, Japan, Singapore, United States) are reviewed as appropriate.Table of ContentsBasic Spreadsheet Functions and Techniques; Explorations with Addition and Multiplication Tables; Spreadsheet as a 3-D Modeling Tool; Prime Numbers; Mathematical Concepts as Tools in Spreadsheet Modeling; Pythagorean Triples; Recreational Mathematics; Historical Connection and Geometric Modeling; Computational Problem Solving in Context; Advanced Explorations with Fibonacci Numbers; Ideas for Individual Projects Using Integrated Spreadsheets;

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Book SynopsisThis book covers the elementary school mathematics curriculum common in most parts of the world. Its aim is to serve educators (teachers and parents) as a guide for teaching mathematics at elementary school level. The book focuses both on content knowledge and on pedagogical content knowledge. It bridges the gap between fundamental mathematical principles and good teaching practices. It also offers the reader a glimpse on how mathematicians perceive elementary mathematics and presents ideas for specific mathematical activities.The author is also a co-founder of Matific, an adaptive game-based teaching and learning tool for primary school mathematics. Independent studies have shown Matific to improve test scores, reduce maths anxiety, and increase motivation. Matific is available in 26 languages and aligned to mathematics curricula in 46 countries. Awards include Best Mathematics Instructional Solution, Best Game-Based Curriculum Solution and Best Educational App. For a trial, visit https://www.matific.com.Table of ContentsCounting and Natural Numbers; The Decimal Representation System; The Four Operations of Arithmetic; Addition; Subtraction; Evaluating Subtraction; Even and Odd Numbers; Multiplication; Division; Regrouping; Addition of Multi-Digit Numbers; Subtraction of Multi-Digit Numbers; Give Me Five!; Introduction to Geometry; Planes and Lines; Length; Angles; Polygons; Area;

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Book SynopsisThis book covers the elementary school mathematics curriculum common in most parts of the world. Its aim is to serve educators (teachers and parents) as a guide for teaching mathematics at elementary school level. The book focuses both on content knowledge and on pedagogical content knowledge. It bridges the gap between fundamental mathematical principles and good teaching practices. It also offers the reader a glimpse on how mathematicians perceive elementary mathematics and presents ideas for specific mathematical activities.The author is also a co-founder of Matific, an adaptive game-based teaching and learning tool for primary school mathematics. Independent studies have shown Matific to improve test scores, reduce maths anxiety, and increase motivation. Matific is available in 26 languages and aligned to mathematics curricula in 46 countries. Awards include Best Mathematics Instructional Solution, Best Game-Based Curriculum Solution and Best Educational App. For a trial, visit https://www.matific.com.

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Book SynopsisOur collected work contains mathematics education research papers. Comparative studies of school textbooks cover content selection, compilation style, representation method, design of examples and exercises, mathematics investigation, the use of information technology, and composite difficulty level, to name a few. Other papers included are about representation of basic mathematical thought in school textbooks, a study on the compilation features of elementary school textbooks, and a survey of the effect of using new elementary school textbooks.Table of ContentsCore Knowledge Selection and Textbook Design for High School Mathematics (Jianyue Zhang, Dan Zhou, Rong Wang and Lili Song); Comparison of the Content Covering and Compiling Features of Complex Numbers in Textbooks of China, Japan, and Singapore (Yuelan Chen and Jun Xie); Comparative Study on the Organization and Presentation of Geometry Content in Textbooks of China and Germany (Ye Lijun); Comparative Study on Binomial Distribution Content in High School Mathematics Textbooks (Jun Li, Jing Cheng, Tingting An and Dan Zhou); Comparative Study on Calculus in High School Mathematics Textbooks (Xiaoping Zhao, Guangxiang Zhang, Ming Ni, Hua Huang, Hua Wang, Zhengwu Long, Xuefeng Gao and Jiao Liu); International Comparison of the Mathematical Inquiry Content in High School Textbooks (Binyan Xu); International Comparison of the Difficulty Levels of Examples in High School Mathematics Textbooks (Jianpan Wang and Jiansheng Bao); A Comparative Study on Example and Exercise Design in High School Mathematics Textbooks (Guanghua Shao, Ping Lu, Jianping Wang and Weili Lu); International Comparison of the Application of Information Technology in High School Mathematics Textbooks (Chao Zhou); Comparative Study on Exercises in Junior High School Mathematics Textbooks (Yiming Cao and Libao Wu); Survey and Analysis on the Usage of the Current Primary School Mathematics Textbooks (Qiping Kong, Yeqing Liu and Li Yang); The Writing Features of Primary School Mathematics Textbooks (Naiqing Song, Yunming Song, Qiu Jiang, Lizhen Luo and Qingyou Cai); On the Representations of Mathematical Thought in Mathematics Textbooks (Fanzhe Kong and Jiali Yan); Historical Content in American Mathematical Textbooks at the Turn of the 20th Century (Xiaoqin Wang); Competition Mathematics as a Complement and Enhancement for In-Class Instruction (Bin Xiong and Yijie He);

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Book SynopsisMathematics is more fun, mysterious and magical than many of us realise, and it is present in all aspects of our lives. We certainly can’t live without it! Why is zero considered the most dangerous number? How did ancient Egyptians measure the world with just a simple stick? What was the math error that caused a NASA rocket toblow up? Which language is used every day all over the world, and is purely made up of numbers? Documentary filmmaker Hoe Yeen Nie and historian/artist David Liew take you on a quest to unlock the secret world of numbers and math, and explore how it has transformed our lives in all sorts of incredible ways. Are you ready for an amazing adventure? The Change Makers series of books will build in children a strong sense of inquiry — to arm them with knowledge in S.T.E.A.M. (Science, Technology, Engineering, Art and Math) to tackle this brave new world of unknowns.

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