Illustrating Mathematics

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Illustrating Mathematics
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Author : Diana Davis
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-10-16
Illustrating Mathematics written by Diana Davis and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-16 with Education categories.
This book is for anyone who wishes to illustrate their mathematical ideas, which in our experience means everyone. It is organized by material, rather than by subject area, and purposefully emphasizes the process of creating things, including discussions of failures that occurred along the way. As a result, the reader can learn from the experiences of those who came before, and will be inspired to create their own illustrations. Topics illustrated within include prime numbers, fractals, the Klein bottle, Borromean rings, tilings, space-filling curves, knot theory, billiards, complex dynamics, algebraic surfaces, groups and prime ideals, the Riemann zeta function, quadratic fields, hyperbolic space, and hyperbolic 3-manifolds. Everyone who opens this book should find a type of mathematics with which they identify. Each contributor explains the mathematics behind their illustration at an accessible level, so that all readers can appreciate the beauty of both the object itself and the mathematics behind it.
An Illustrated Theory Of Numbers
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Author : Martin H. Weissman
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-09-15
An Illustrated Theory Of Numbers written by Martin H. Weissman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-15 with Education categories.
News about this title: — Author Marty Weissman has been awarded a Guggenheim Fellowship for 2020. (Learn more here.) — Selected as a 2018 CHOICE Outstanding Academic Title — 2018 PROSE Awards Honorable Mention 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.
Mathematics For Machine Learning
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Author : Marc Peter Deisenroth
language : en
Publisher: Cambridge University Press
Release Date : 2020-04-23
Mathematics For Machine Learning written by Marc Peter Deisenroth and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-23 with Computers categories.
Distills key concepts from linear algebra, geometry, matrices, calculus, optimization, probability and statistics that are used in machine learning.
Scottish Heinemann Maths 5 Organising And Planning Guide
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Author : Scottish Primary Mathematics Group
language : en
Publisher: Heinemann
Release Date : 2002-08-20
Scottish Heinemann Maths 5 Organising And Planning Guide written by Scottish Primary Mathematics Group and has been published by Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-08-20 with Juvenile Nonfiction categories.
Scottish Heinemann Maths is written specifically for Scotland to help implement the recommendations from "Improving Mathematics Education 5-14". It provides: an increased pace of progression; end of level assessment; oral and mental calculation; integral homework; and support for planning.
Rethinking Disability And Mathematics
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Author : Rachel Lambert
language : en
Publisher: Corwin Press
Release Date : 2024-04-15
Rethinking Disability And Mathematics written by Rachel Lambert and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-15 with Education categories.
Every child has a right to make sense of math, and to use math to make sense of their worlds. Despite their gifts, students with disabilities are often viewed from a deficit standpoint in mathematics classrooms. These students are often conceptualized as needing to be fixed or remediated. Rethinking Disability and Mathematics argues that mathematics should be a transformative space for these students, a place where they can discover their power and potential and be appreciated for their many strengths. Author Rachel Lambert introduces Universal Design for Learning for Math (UDL Math), a way to design math classrooms that empowers disabled and neurodiverse students to engage in mathematics in ways that lead to meaningful and joyful math learning. The book showcases how UDL Math can open up mathematics classrooms so that they provide access to meaningful understanding and an identity as a math learner to a wider range of students. Weaved throughout the book are the voices of neurodiverse learners telling their own stories of math learning. Through stories of real teachers recognizing the barriers in their own math classrooms and redesigning to increase access, the book: Reframes students with disabilities from a deficit to an asset perspective, paving the way for trusting their mathematical thinking Offers equitable math instruction for all learners, including those with disabilities, neurodiverse students, and/or multilingual learners Applies UDL to the math classroom, providing practical tips and techniques to support students′ cognitive, affective, and strategic development Immerses readers in math classrooms where all students are engaged in meaningful mathematics, from special education day classes to inclusive general education classrooms, from grades K-8. Integrates research on mathematical learning including critical math content such as developing number sense and place value, fluency with math facts and operations, and understanding fractions and algebraic thinking. Explores critical issues such as writing IEP goals in math This book is designed for all math educators, both those trained as general education teachers and those trained as special education teachers. The UDL Math approach is adapted to work for all learners because everyone varies in how they perceive the world and in how they approach mathematical problem solving. When we rethink mathematics to include multiple ways of being a math learner, we make math accessible and engaging for a wider group of learners.
Decolonising Mathematics Education
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Author : Nicole Boyd
language : en
Publisher: BRILL
Release Date : 2023-09-04
Decolonising Mathematics Education written by Nicole Boyd and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-04 with Education categories.
First Peoples living in remote Australia are educated in two worlds. The future of bush food enterprises in outstations in Utopia depends on the successful transfer of intergenerational knowledge. High school girls respectfully inquire about how to harvest and process important cultural materials from country. Students, senior women and young men strengthen their connections to self, kinship and culture and share responsibility to care for country. Careful collaboration with First Nations people creates opportunities to provide mathematics education which complements and is informed by the work that already exists in the local school community. Consultation with assistant teachers, students, and other community members creates opportunities to validate Indigenous pedagogies in mathematics education. Decolonising Mathematics Education explores and responds to student interest in managing and harvesting akatyerr (desert raisin). Transforming pedagogy enables the students to respond more broadly to the needs of Utopia Eastern Anmatyerr and Alyawarr people to price and sell this important bush food. Income generated from the enterprise is modest, however the skills of a small start-up business have been applied to many learning opportunities that exist in the local community.
Mathematics Teaching And Learning
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Author : Rina Kim
language : en
Publisher: Springer
Release Date : 2015-03-24
Mathematics Teaching And Learning written by Rina Kim and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-24 with Education categories.
The purpose of this research is to identify the categories of South Korean elementary teachers’ knowledge for teaching mathematics. Emerging from the data collected and the subsequent analysis are five categories of South Korean elementary teachers’ knowledge for teaching mathematics: Mathematics Curriculum Knowledge, Mathematics Learner Knowledge, Fundamental Mathematics Conceptual Knowledge, Mathematics Pedagogical Content Knowledge, and Mathematics Pedagogical Procedural Knowledge. The first three categories of knowledge play a significant role in mathematics instruction as an integrated form within Mathematics Pedagogical Content Knowledge. This study also demonstrated that Mathematics Pedagogical Procedural Knowledge might play a pivotal role in constructing Mathematics Pedagogical Content Knowledge. These findings are connected to results from relevant studies in terms of the significant role of teachers’ knowledge in mathematics instruction.
New Heinemann Maths Yr6 Organising And Planning Guide
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Author : Scottish Primary Mathematics Group
language : en
Publisher: Heinemann
Release Date : 2002
New Heinemann Maths Yr6 Organising And Planning Guide written by Scottish Primary Mathematics Group and has been published by Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Juvenile Nonfiction categories.
"New Heinemann Maths" offers interactive, whole-class teaching, with structured development of mental calculation within the Framework. It covers planning and teaching; pupil material; structure and progression; support for more able children; and easy-to-manage assessment.
New Heinemann Maths Year 5 Organising And Planning Guide
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Author : Scottish Primary Mathematics Group
language : en
Publisher: Heinemann
Release Date : 2001
New Heinemann Maths Year 5 Organising And Planning Guide written by Scottish Primary Mathematics Group and has been published by Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Juvenile Nonfiction categories.
NHM Organising and Planning Guide is an excellent teacher resource. It gives you all the support you need to implement the programme and plan your lessons.
New Heinemann Maths Yr3 Organising And Planning Guide
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Author : Scottish Primary Mathematics Group
language : en
Publisher: Heinemann
Release Date : 2000-06-29
New Heinemann Maths Yr3 Organising And Planning Guide written by Scottish Primary Mathematics Group and has been published by Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-29 with Juvenile Nonfiction categories.
NHM Organising and Planning Guide is an excellent teacher resource. It gives you all the support you need to implement the programme and plan your lessons.