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Teacher Created Materials
Teacher Created Materials publishes innovative, imaginative, and award-winning resources for teachers, parents, and students in all subjects for ages 4-18 worldwide.
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Early learning / early learning conceptsOctober 2017Una cabeza distinta (A different head)
by Luis Panini, Chiara Carrer
This child tells us that he is not happy with the head that he has. He thinks it is a wrong head. The parents, after listening to him, take him to a specialist, who agrees with the little one. A mysterious man dressed in black supplies him with heads in exchange for his own. The child tries several, until he finds the one he was looking for. A reindeer head, a crocodile head, a whisk head: the narrator child and protagonist of this story tells us about his disagreement with the head he has and the vicissitudes that he has to go through to find the head with which he will finally agree: the head of a grown man, of a mathematician. This is a story of search for identity and growth, developed with fine fantasy and humor, with the wisdom of someone he has sought and perhaps already found.
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True stories2018History's Carnival
by Leonid Plyushch
A memoir and autobiography of Ukrainian mathematician Leonid Pliushch (1939-2015), one of the most famous dissidents of the USSR. It was first published in the West in 1979 in five languages (Russian, French, English, Italian and Ukrainian) and it belongs to the "treasury" of anti-totalitarian resistance literature. Analyzing his life path from his postwar childhood to the Dnipropetrovsk psychiatric prison, where he was thrown with the beginning of repressions in 1972, Leonid Pliushch creates an invaluable panoramic portrait of the generation of "sixties", which was given a chance to free their mind from authoritarianism. The text is presented in the author's edition of 2002 with appendices and foreword by Oksana Zabuzhko.
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February 2023Tobias Mayer
or measuring the earth, sea and sky
by Thomas Knubben
—300th birthday of Tobias Mayer in February 2023 — The rediscovery of a great scientist — A chapter in the fascinating history of science The story of Tobias Mayer's life (1723 to 1762) is that of a child prodigy and orphan who became a pioneer of the Enlightenment as a cartographer, mathematician, physicist and astronomer. Having never been to university, at the age of 28 he was appointed a professor in Göttingen by the Elector of Hanover and King of England. He revolutionised cartography with his zeal and skill, helping sailors to find the right path across the seas and providing people with the firstever clear view of the moon. 17th February 2023 marks the 300th anniversary of the birth of Tobias Mayer. High time to recall this prototype of a scientist.
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July 2022Peculiar Deaths of Famous Mathematicians
by Ioanna Georgiou and Asuka Young
Getting and keeping teens interest in mathematics is vital to their future. But how, when there are so many dreary textbooks and repetitive curriculum requirements? Covering everything that they need to know is about all a school can do. What approach would work, when there are million other things for them to do? Ioanna Georgiou and Asuka Young have come up with a novel approach that is based on stories from history – with a twist! Peculiar Deaths combines short stories about key mathematicians from the past and how they died, with details of the mathematical advances that they made. But one of the deaths is made up – but which one?
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Children's & YASmart Mathematicians Series Lower Primary
by The Editorial Team
Smart Mathematicians magazines are designed to comply with the Singapore school Mathematics syllabus for Primary 1-6. Every copy of Smart Mathematicians is complies with the SINGAPORE MOE primary Math Syllabus with added Olympiad Maths quizzes. Smart Mathematicians opens up a world of fun and excitement in learning Mathematics without tears and drudgery.
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Children's & YASmart Mathematicians Series Upper Primary
by The Editorial Team
Smart Mathematicians magazines are designed to comply with the Singapore school Mathematics syllabus for Primary 1-6. Every copy of Smart Mathematicians is complies with the SINGAPORE MOE primary Math Syllabus with added Olympiad Maths quizzes. Smart Mathematicians opens up a world of fun and excitement in learning Mathematics without tears and drudgery.
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FictionMay 2024Lift
The Rise of Mathe-Lingua-Musica
by Ray Anderson
With Earth on the brink of total annihilation, can a new universal language unite the world enough to save it? It’s 2422 and the world’s governing mathematicians have calculated that society’s struggles with rampant war and homicide have put humanity on a crash-course with extinction. With an estimated fifteen months left until humankind’s total annihilation,the World Council of Mathematicians (WCM) determine the only way out of the crisis is to create the optimum language for humans, creating common understanding across all cultures and allowing them to work together for their joint salvation. The WCM and Charles De Costa, a brilliant mathematics student, must rely on LIFT, a scientific breakthrough that allows them to enlist the aid of the greatest minds in history, to create this new world language based on mathematics, linguistics, and music. Can the great minds of the past help lead humanity to a better future? Can this new language be created in time? Or will society’s continued evil and miscommunication lead the world to an inevitable end?
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The Maestro, The Magistrate and The Mathematician
by Tendai Huchu
Three very different men struggle with thoughts of belonging, loss, identity and love as they attempt to find a place for themselves in Britain. The Magistrate tries to create new memories and roots, fusing a wandering exploration of Edinburgh with music. The Maestro, a depressed, quixotic character, sinks out of the real world into the fantastic world of literature. The Mathematician, full of youth, follows a carefree, hedonistic lifestyle, until their three universes collide. In this carefully crafted, multi-layered novel, Tendai Huchu, with his inimitable humour, reveals much about the Zimbabwe story as he draws the reader deep into the lives of the three main characters.
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MathematicsCounting stories
Imaginary Problems for Real Mathematicians
by Rudi matematici
Will the great mathematicians in history ever have had fun proposing and solving problems of recreational mathematics? Or, occupied by their high offices, will they have avoided putting themselves to the test with problems created only for the fun of it? Whatever the answer, it is easy to imagine that what would have appeared paltry problems to them could be ‘difficult’ for ordinary people. The Rudi Mathematici, hesitating over their great passions – telling stories about mathematicians and proposing entertaining problems of mathematics – have found the strange compromise of imagining some great mathematical minds at crucial times in their (real) lives, while they propose and solve some questions which in actual fact they probably never really had to tackle. This way, we find Isaac Newton as a precursor of Sherlock Holmes in the attempt to solve (mathematically) a case of murder, or see an irritated John Von Neumann stealing sweets from Ed Teller, while the Earth risks blowing up; not to mention the strange way with which Vilfredo Pareto, Paul Erdős, G. H. Hardy, Leonardo and others treated the intriguing questions of the world of numbers.
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Teaching, Language & ReferenceJanuary 2018Mathematical Discourse: Let the Kids Talk!
by Barbara Blanke
This invaluable resource provides teachers with the tools they need to facilitate mathematical discourse and create opportunities for students to think constructively, communicate effectively, and increase mathematics proficiency. This book will help teachers develop a new set of pedagogical skills and strategies to assess, plan, and organize their classrooms in a manner that is conducive to mathematical discourse. With helpful tips and strategies that are easy to implement, this standards-based book supports an equitable learning environment by encouraging active listening, clear communication, justification of perspective, and acknowledgement of students' experiences. Each chapter includes Culturally and Linguistically Responsive Teaching and Learning strategies to address cultural norms for diverse populations, and support the needs of English language learners. With tips for implementing Math Talks and Number Talks, this resource will get students thinking like mathematicians in no time.
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EducationCreativity in Mathematics and the Education of Gifted Students
by Leikin, R.
This book breaks through in the field of mathematical creativity and giftedness. It suggests directions for closing the gap between research in the field of mathematics education and research in the field of creativity and giftedness. It also outlines a research agenda for further research and development in the field. The book consists of a balanced set of chapters by mathematicians, mathematics educators, educational psychologists and educational researchers. The authors of different chapters accept dynamic conception of creativity and giftedness. The book provides analysis of cognitive, affective and social factors associated with the development of creativity in all students and with the realisation of mathematical talent in gifted students. It contains theoretical essays, research reports, historical overviews, recommendations for curricular design, and insights about promotion of mathematical creativity and giftedness at different levels. The readers will find many examples of challenging mathematical problems intended at developing or examining mathematical creativity and giftedness as well as ideas for direct implementation in school and tertiary mathematics courses. They will also find theoretical models that can be used in researching students' creativity and giftedness. Research reports enlighten relationships between excellence in mathematics and creativity and examine different aspects of inquiry-based environment as a powerful way for developing mathematical creativity in school students. The readers can also learn about characteristics of creativity of research mathematicians. The book may be of interest to a broad audience of readers, from mathematicians and mathematics educators to mathematics teachers, psychologists and parents of mathematically promising children.
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EducationModel-Centered Learning
Pathways to Mathematical Understanding Using GeoGebra
by Bu, L.
Model-Centered Learning: Pathways to Mathematical Understanding Using GeoGebra is the first book to report on the international use of GeoGebra and its growing impact on mathematics teaching and learning. Supported by new developments in model-centered learning and instruction, the chapters in this book move beyond the traditional views of mathematics and mathematics teaching, providing theoretical perspectives and examples of practice for enhancing students’ mathematical understanding through mathematical and didactical modeling. Designed specifically for teaching mathematics, GeoGebra integrates dynamic multiple representations in a conceptually rich learning environment that supports the exploration, construction, and evaluation of mathematical models and simulations. The open source nature of GeoGebra has led to a growing international community of mathematicians, teacher educators, and classroom teachers who seek to tackle the challenges and complexity of mathematics education through a grassroots initiative using instructional innovations. The chapters cover six themes: 1) the history, philosophy, and theory behind GeoGebra, 2) dynamic models and simulations, 3) problem solving and attitude change, 4) GeoGebra as a cognitive and didactical tool, 5) curricular challenges and initiatives, 6) equity and sustainability in technology use. This book should be of interest to mathematics educators, mathematicians, and graduate students in STEM education and instructional technologies.
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June 2014Mathematics in Military Science
by Zhishang Mofang
The mysterious Morse code; nanometer weapons with huge destruction; secrets in “casting beans on grounds which are transformed by magic into soldiers”; “star wars” defense program with mathematics going first; digital Gulf War; military think-tank full of mathematicians…the battle not only needs courage but also wisdom!
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MathematicsMarch 2014Developing a 21st Century Global Library for Mathematics Research
by Committee on Planning a Global Library of the Mathematical Sciences; Board on Mathematical Sciences and Their Applications; Division on Engineering and Physical Sciences; National Research Council
Like most areas of scholarship, mathematics is a cumulative discipline: new research is reliant on well-organized and well-curated literature. Because of the precise definitions and structures within mathematics, today's information technologies and machine learning tools provide an opportunity to further organize and enhance discoverability of the mathematics literature in new ways, with the potential to significantly facilitate mathematics research and learning. Opportunities exist to enhance discoverability directly via new technologies and also by using technology to capture important interactions between mathematicians and the literature for later sharing and reuse. Developing a 21st Century Global Library for Mathematics Research discusses how information about what the mathematical literature contains can be formalized and made easier to express, encode, and explore. Many of the tools necessary to make this information system a reality will require much more than indexing and will instead depend on community input paired with machine learning, where mathematicians' expertise can fill the gaps of automatization. This report proposes the establishment of an organization; the development of a set of platforms, tools, and services; the deployment of an ongoing applied research program to complement the development work; and the mobilization and coordination of the mathematical community to take the first steps toward these capabilities. The report recommends building on the extensive work done by many dedicated individuals under the rubric of the World Digital Mathematical Library, as well as many other community initiatives. Developing a 21st Century Global Library for Mathematics envisions a combination of machine learning methods and community-based editorial effort that makes a significantly greater portion of the information and knowledge in the global mathematical corpus available to researchers as linked open data through a central organizational entity-referred to in the report as the Digital Mathematics Library. This report describes how such a library might operate - discussing development and research needs, role in facilitating discover and interaction, and establishing partnerships with publishers.
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Children's & YAWorld Scientists Series: Isaac Newton
by Gokce Akgul
This graphic novel will show us a brief introduction of one of the greatest mathematicians and scientists of all time, Isaac Newton. Travelling back to 17th century to the villages of England, we meet little Isaac who is working with her mother in their farm. With much interested in studying the skies, we then see how he finds his own path in college. Aside from introducing the life of this great scientist, Isaac Newton will also give children an idea on the theory of light and the law of gravitation. The humorous and vivid style of this graphic novel will help children to conceptualize these hard topics in an easier and fun way.
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Biology, life sciencesNovember 2009A New Biology for the 21st Century
by Committee on a New Biology for the 21st Century: Ensuring the United States Leads the Coming Biology Revolution; National Research Council
Now more than ever, biology has the potential to contribute practical solutions to many of the major challenges confronting the United States and the world. A New Biology for the 21st Century recommends that a "New Biology" approach--one that depends on greater integration within biology, and closer collaboration with physical, computational, and earth scientists, mathematicians and engineers--be used to find solutions to four key societal needs: sustainable food production, ecosystem restoration, optimized biofuel production, and improvement in human health. The approach calls for a coordinated effort to leverage resources across the federal, private, and academic sectors to help meet challenges and improve the return on life science research in general.
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MathematicsAugust 2017An Illustrated Theory of Numbers
by Martin H. Weissman
This is a meticulously written and stunningly laid-out book influenced not only by the classical masters of number theory like Fermat, Euler, and Gauss, but also by the work of Edward Tufte on data visualization. Assuming little beyond basic high school mathematics, the author covers a tremendous amount of territory, including topics like Ford circles, Conway's topographs, and Zolotarev's lemma which are rarely seen in introductory courses. All of this is done with a visual and literary flair which very few math books even strive for, let alone accomplish. --Matthew Baker, Georgia Institute of Technology ``An Illustrated Theory of Numbers'' is a textbook like none other I know; and not just a textbook, but a work of practical art. This book would be a delight to use in the undergraduate classroom, to give to a high school student in search of enlightenment, or to have on your coffee table, to give guests from the world outside mathematics a visceral and visual sense of the beauty of our subject. --Jordan Ellenberg, University of Wisconsin-Madison, author of ``How Not to Be Wrong: the Power of Mathematical Thinking'' Weissman's book represents a totally fresh approach to a venerable subject. Its choice of topics, superb exposition and beautiful layout will appeal to professional mathematicians as well as to students at all levels. --Kenneth A. Ribet, University of California, Berkeley An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric and dynamical arguments provide new insights, and allow for a rigorous approach with less algebraic manipulation. The final chapters contain an extended treatment of binary quadratic forms, using Conway's topograph to solve quadratic Diophantine equations (e.g., Pell's equation) and to study reduction and the finiteness of class numbers. Data visualizations introduce the reader to open questions and cutting-edge results in analytic number theory such as the Riemann hypothesis, boundedness of prime gaps, and the class number 1 problem. Accompanying each chapter, historical notes curate primary sources and secondary scholarship to trace the development of number theory within and outside the Western tradition. Requiring only high school algebra and geometry, this text is recommended for a first course in elementary number theory. It is also suitable for mathematicians seeking a fresh perspective on an ancient subject.
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September 2021Coding (Real World Math)
by Jennifer Szymanski
This brand-new series demonstrates how math skills can be applied to high-interest topics and careers in Coding, Building, Tracking Animals, and Space Exploration. The K-2 math concepts include counting 1-100 with basic addition and subtraction, using the power of 10, measuring, and simple geometry. Real world scientists, architects, programmers, and mathematicians model hands-on, from-the-field experiences in a way that will make children excited to use and expand their math skills!Key features:• Vibrant, full-color photographs throughout with a modern design.• Perfect addition for STEM libraries.• Created with an emphasis on gender and ethnic diversity. • Includes "You Can Do It!" math challenges perfectly crafted for 4-to-8 year olds.• Reviewed by a math curriculum specialist consultant
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SchoolsOctober 2004On Evaluating Curricular Effectiveness
Judging the Quality of K-12 Mathematics Evaluations
by Committee for a Review of the Evaluation Data on the Effectiveness of NSF-Supported and Commercially Generated Mathematics Curriculum Materials, Jere Confrey and Vicki Stohl, Editors, National Research Council
This book reviews the evaluation research literature that has accumulated around 19 K-12 mathematics curricula and breaks new ground in framing an ambitious and rigorous approach to curriculum evaluation that has relevance beyond mathematics. The committee that produced this book consisted of mathematicians, mathematics educators, and methodologists who began with the following charge: Evaluate the quality of the evaluations of the thirteen National Science Foundation (NSF)-supported and six commercially generated mathematics curriculum materials; Determine whether the available data are sufficient for evaluating the efficacy of these materials, and if not; Develop recommendations about the design of a project that could result in the generation of more reliable and valid data for evaluating such materials. The committee collected, reviewed, and classified almost 700 studies, solicited expert testimony during two workshops, developed an evaluation framework, established dimensions/criteria for three methodologies (content analyses, comparative studies, and case studies), drew conclusions on the corpus of studies, and made recommendations for future research.
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Biology, life sciencesApril 1995Calculating the Secrets of Life
Contributions of the Mathematical Sciences to Molecular Biology
by Eric S. Lander and Michael S. Waterman, Editors; Committee on the Mathematical Sciences in Genome and Protein Structure Research, National Research Council
As researchers have pursued biology's secrets to the molecular level, mathematical and computer sciences have played an increasingly important role--in genome mapping, population genetics, and even the controversial search for "Eve," hypothetical mother of the human race. In this first-ever survey of the partnership between the two fields, leading experts look at how mathematical research and methods have made possible important discoveries in biology. The volume explores how differential geometry, topology, and differential mechanics have allowed researchers to "wind" and "unwind" DNA's double helix to understand the phenomenon of supercoiling. It explains how mathematical tools are revealing the workings of enzymes and proteins. And it describes how mathematicians are detecting echoes from the origin of life by applying stochastic and statistical theory to the study of DNA sequences. This informative and motivational book will be of interest to researchers, research administrators, and educators and students in mathematics, computer sciences, and biology.
