Publications Waiting to be Reviewed/New Publications
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Uniquely provides fully solved problems for linear partial differential equations and boundary value problems Partial Differential Equations: Theory and Completely Solved Problems utilizes real-world physical models alongside essential theoretical concepts. With extensive examples, the book guides readers through the use of Partial Differential Equations (PDEs) for successfully solving and modeling phenomena in engineering, biology, and the applied sciences. The book focuses exclusively on linear PDEs and how they can be solved using the separation of variables technique.
Each teacher and student brings many identities to the classroom. What is their impact on the student's learning and the teacher's teaching of mathematics?
this book invites K-8 teachers to reflect on their own and their studnets' multiple identities. Rich possibilities for learning result when teachers draw on these identities to offer high-quality, equity-based teaching to all studnets.
One Equals Zero! Every number is greater than itself! All triangles are isosceles! Suprised? Welcome to the world of One Equals Zero and Other Mathematical Supirses. In this engaging book of blackline activity masters, all men are bald, mistakes are lucky, and teachers can never spring suprise tests on their students!
The transition from classroom teacher to elementary mathematics specialist is challenging, but the principal can smooth specialist's path by reassuring teachers that the new specialist is there to support them, not judge them.
This book focuses on essential knowledge for mathematics teachers about statistics. It is organized around five big ideas, supported by multiple smaller, interconnected ideas-essential understandings. Taking you beyond a simple introduction to statistics, the book will boraden and deepen your understanding of one of the most challenging topics for studnets - and teachers. It will help you engage your students, anticiptae their perplexities, avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing stundets' umderstading of the topic.
This books focuses on the specialised pedagogical content knowledge that you need to teach fractions effectively in grades 3-5. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with fractions - not only in their current work, but also in higher-level mathematics and a myriad of real-world contexts.
The wonder of recreational mathematics....
This book is a compilation of 30 articles originally issued as a series entitled "enjoying maths" for the japanese magazine Rikeieno Sugaku (Mathematics for Science).
The Essential Guide to Navigating Your First Years of Teaching Secondary Mathematics
"Too much advcice for teachers is either to abstract to be useful or consists of cute ideas for tomorrow that offer no lasting support. Wieman and Arbaugh hit the coveted middle ground - practical ideas for teachers drawn from sound principles of learning and teachin. Because their focus is directly on middle and secondary school mathematics, thye have produced a rare practical guide for upper-grade teachers that is easily accessible and rewardingly substantive. Middle and high school math teachers who want to improve their teaching, with the Common Core State Standards in mind, cannot go wrong by reading this book, cover to cover." - James Hiebert University of Delaware
Based on classroom observations and interviews with seasoned and beginning teachers, Success from the Start: Your First Years Teaching Secondary Mathematics offers valuable suggestions to improve your teaching and your studnets oppertunities to learn.
MyMaths for Key Stage 3
MyMaths for KeyStage 3 is a brand new series that fully addresses the new National Curriculum for KeyStage 3 Mathematics in England.
Student Book 1B is for students starting KS3 that already have a secure understanding of upper KS2 topics, allowing them to consolidate their knowledge and progress to KS3 maths standards.
MyMaths for Key Stage 3 is the only course to provide:
- Coherent progression through KS3, with a 'learn it once and learn it well' philosophy leading to secure knowledge.
- A truly differentiated structure so that all levels of ability can access the new curriculum, including all the new topics.
- A Clear Approach to attainment with the emphasis on visible progress.
The subject of the Calculus seems a mystery to all but the most numerate of people, but J F Riley writes with a dry humour tat engages the general reader in an informed acquantance with its history.
The book describes the trials and tribulations that the topic of motion and therefore variability and change encountered from its beginnings in ancient Greece up to its discovery in the 17th century and the subsequent period of development. It is is a story behind the evolution of the 'algebra of change and shape' we call the Calculus, and about what it is, why we needed it and who made it happen.
City of Zombies builds speed and confidence with number play and rewards players as their maths improve. Co-operative gameplay encourages players to work together and help each other to win. Players of mixed abilities share learning through a positive play.
The story is fun, intelligently creative and also a great introductioninto wholesome "unified" approaches to learning for all.
A new and definitive reference for the Fibonacci numbers and the Golden Ratio. with Mondrian, Seurat, Toulouse-Lautrec, Tiwanaku, The Great Pyramid. Le Corbusier, Kepler, Penrose, quasicrystals, Pendry, green energy, and the latest light-based technologies, this maths and science book is written to be enjoyed.
In China, lots of excellent students who are good at maths take an active interest in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years China's IMO Team has achieved outstanding results - they won the first place almost every year.
Mathematics, like language, is a universal experience. Every society counts and is empowered by its ability to count and to measure, but the mathematical processes developed within various cultures differ wifely. Count us in explores the cultural context that has influenced perceptions of mathematics in Wales and elsewhere, drawing examples from the author's personal experiences.
This reseource volume is an enlargement as well as an update of the previous edition. The book aims to introduce the reader to over 100 different families of positibe integers. A brief historical note accompanies the descriptions and examples of several of the familioes together with a mix of routine exeercises and problems as well as some thought provokers to solve.
Classroom 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 implementationn from members of the APEC economies.
Lesson study is one of the best ways to improve 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.
This book explains the concept of probabilty and its applications with almost no mathematics. As the titles states, the reader will discover the concept of probability, learn how to use it, and be aware of some misuses of and sometimes even abuse of, probability. The reader wil, come to know that a basic knowledge of probability is useful in life.
It is a unique, self-teaching book that is easy to read, oftentimes entertaining and full of useful information on both probability and information theory.
Motivating Mathematics demonstartes that pupils can be motivated by being given the Big Picture, including a clearer picture of the nature of maths, and by linking topics to the sciences, rather than teaching each topic in isolation. The author emphasises the many virtuesof problem-solving, strongly emphasised in secondary education specifications, especially the role of perception, and the ability of pupils to create their own proofs and to appreciate 'cool' ideas and arguments.
This book is the result of a unique experience: a research mathematician teaching in an elementary school. It tells about a fascinating discovery made by the author - that elementary mathematics has a lot of depth and beauty, and that the secret to its teaching is in understanding its deep points.
The first part of the book discusses the nature of mathematics and its beauty. The second part tells about the teaching principles the author distilled from his experience. The third part is an excursion through the arithmetic studied in elementary school, accompanied by personal stories, historical anecdotes and teaching suggestions. The appendix relates the fascinating story of modern day politics of mathematical education.
The author presents a bombshell puzzle so startling that it seems incredible that there could be any solution at all! But there is indeed a solution - moreover, one that requires a chain of lessser puzzles to be solved first. The reader is thus taken on a journey through a maze of subsiduary problems that has all the earmarks of an entertaining detective story.
This book is a rare resource consisting of problems and solutions similar to those seen in mathematicas contests from around the world. It is an excellent training resource for high school studentswho plan to participate in mathematics contests, and a wonderful collection of problems that can be used by teachers who wish to offer their advanced students some challenging nontraditional problems to work on to build their problem solving skills. It is also an excellent source of problems for the mathematical hobbyist who enjoys solving problems on various levels.
The methods for teaching mathematics usually follow the structure of mathematics. The problem with this is that the structure of mathematics took centuries of elaboration to develop and is not the same as how one originally experiences mathematics. Based on research of how mathematics is actually learned, this book presents an innovative approach for teaching mathematics that will engage pupils and can have lifelong benefits for how they take on board more advanced mathematical topics.
In China, lots of excellent students who are good at maths taken an active interest in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years China's IMO Team has achieved outstanding results - they wont the first place almost every year.
The book constitutes an elemntary course on Plane Euclidean Geomtery, pitched at pre-university or at advanced high school level. It is a concise book treating the subject axiomatically, but since it is meant to be a first introduction to the subject, excessive rigour is avoided, making it appealing to a younger audience as well. The aim is to cover the basics of the subject, while keeping the subject lively by means of challenging and interesting exercises. This makes it relevant also for students participating in mathematics circles and in mathematics olympiads.
This book introduces ten problem-solving strategies by first presenting the strategy and then applying it to problems in elementary mathematics. In doing so, first the common approach is shown, and then a more elegant strategy is provided. Elementary mathematics is used so thatthe reader can focus on the strategy and not be distracted by some more sophisticated mathematics.
In China, lots of excellent students who are good at maths takes an active part in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the pas ten years China's IMO Team has achieved outstanding results - they have won the first place almost every year.
This is a wonderful addition to Dr Dick Hess's previous successful books, Menral Gymanstics: Recreational Mathematical Puzzles, Golf on the Moon, (Dover Publishing, 2011 and 2014 respectively) and Number-Crunching Math Puzzles (Sterling Publishing, 2009). In the latest volume, there are 116 recreational mathematical puzzles and problems that will challenge and entertain bright minds.
A Square Peg in a Round Hole takes the reader on a journey through the geometry of common shapes and the calculation of area. Written to be accessible to an able and interested 18-year old, it aims to appeal to students and teachers of mathematics and to anyone with a fascination for the subject.
Which is a better for: a square peg in a round hole or a round peg in a square hole? What's the best way to fit two semicircles inside a square? Can you picture a hectare or a square kilometre? How should a slice of cheesecake be cut in half? Explore the missing square paradox, the three squares problem and the logo of the Berlin Philharmonic Orchestra. Find out how to calculate areas by twisting, overlapping, folding and dissecting, and investigate the surface areas of shapes constructed from unit cubes. Then tackle the multitude of problems in the final chapter.
This PowerPoint presentation of 39 mathematically inspired pictures and activities has been collated from the 2014, 2015 and 2016 Mathematical Association calendars. It is intended that the activie=ties will encourage teachers andyoung people to think about the wide variety of context in which mathematics can be found in the world around us.