Challenges and Strategies in Teaching Linear Algebra
Challenges and Strategies in Teaching Linear Algebra

Author: Sepideh Stewart

Publisher: Springer

Published: 2018-02-01

Total Pages: 381

ISBN-13: 3319668110

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This book originated from a Discussion Group (Teaching Linear Algebra) that was held at the 13th International Conference on Mathematics Education (ICME-13). The aim was to consider and highlight current efforts regarding research and instruction on teaching and learning linear algebra from around the world, and to spark new collaborations. As the outcome of the two-day discussion at ICME-13, this book focuses on the pedagogy of linear algebra with a particular emphasis on tasks that are productive for learning. The main themes addressed include: theoretical perspectives on the teaching and learning of linear algebra; empirical analyses related to learning particular content in linear algebra; the use of technology and dynamic geometry software; and pedagogical discussions of challenging linear algebra tasks. Drawing on the expertise of mathematics education researchers and research mathematicians with experience in teaching linear algebra, this book gathers work from nine countries: Austria, Germany, Israel, Ireland, Mexico, Slovenia, Turkey, the USA and Zimbabwe.

Algebra 1 Workbook
Algebra 1 Workbook

Author: Richard Carter

Publisher: Independently Published

Published: 2018-12-03

Total Pages: 340

ISBN-13: 9781790340095

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*IF YOU BUY THE PAPER VERSION YOU GET THE KINDLE VERSION FOR FREE* ⭐⭐⭐ Algebra 1 Workbook ⭐⭐⭐ This book contains: Basic operations, number and integers, properties, rules and tips Monomials, Binomials and Polynomials operations How to find Least Common Multiple and Greatest Common Factor, Factorization and Prime Numbers Different types of expressions, and related ways of solutions Different types of equations, Inequalities and Functions with the related ways of solutions Many exercises the reader can do for each different argument with related explanations and solutions Algebra is a very noteworthy subfield of mathematics in its versatility alone if nothing else. You will be hard-pressed to find one single area of mathematics that is taught after algebra in which algebra is not practiced in almost every situation. The most general and the most commonly used definition of algebra is the study of mathematical symbols as well as the study of the manipulation of these symbols. Mathematical symbols are one of the most basic elements of mathematics, aside from numbers themselves and operation symbols, so the study of these symbols is one of the most important studies that one can take up as far as mathematics is concerned. To that end, in this book, you will find some of the most important topics regarding algebra. These include but are not limited to the following: understanding integers and basic operations, inequalities and one-step operations; fractions and factors; the main rules of arithmetic; linear equations in the coordinate plane, expressions, equations and functions; real numbers; solving linear equations; visualizing linear functions, linear equations, linear inequalities, systems of linear equations and inequalities; exponents and exponential function; polynomials, quadratic equations, radical expression, radical equations, rational expressions; and finally, intermediate topics in algebra.

Helping Children Learn Mathematics
Helping Children Learn Mathematics

Author: National Research Council

Publisher: National Academies Press

Published: 2002-07-31

Total Pages: 53

ISBN-13: 0309131987

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Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.

Mathematics for Machine Learning
Mathematics for Machine Learning

Author: Marc Peter Deisenroth

Publisher: Cambridge University Press

Published: 2020-04-23

Total Pages: 392

ISBN-13: 1108569323

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The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site.

Teaching in Inclusive Classrooms
Teaching in Inclusive Classrooms

Author: Diane P. Bryant

Publisher: SAGE Publications

Published: 2024-02-06

Total Pages: 493

ISBN-13: 1071834924

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Teaching in Inclusive Classrooms guides educators through inclusive education using the ADAPT framework. Packed with practical examples, evidence-based practices, and hands-on strategies, the Third Edition empowers educators to effectively teach students with disabilities in inclusive environments.

A Practical Guide to Teaching Mathematics in the Secondary School
A Practical Guide to Teaching Mathematics in the Secondary School

Author: Clare Lee

Publisher: Routledge

Published: 2019-04-25

Total Pages: 183

ISBN-13: 1351060694

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A Practical Guide to Teaching Mathematics in the Secondary School offers straightforward advice, inspiration and a wide range of tried and tested approaches to help you find success in the secondary mathematics classroom. Illustrated throughout, this fully updated second edition includes new chapters on using ICT in the classroom and promoting a positive learning environment, as well as fresh and easy to use ideas that can help you engage your pupils and inspire mathematical thinking. Covering all key aspects of mathematics teaching, it is an essential companion for all training and newly qualified mathematics teachers. Combining ideas and practical insights from experienced teachers with important lessons from educational research, this book covers key aspects of mathematics teaching, including: planning effective lessons using assessment to support learning encouraging mathematical activity integrating ICT into your teaching making lessons engaging building resilient learners. A Practical Guide to Teaching Mathematics in the Secondary School is an essential companion to the core textbook Learning to Teach Mathematics in the Secondary School. Written by expert practitioners, it will support you in developing imaginative and effective mathematics lessons for your pupils.

Teaching Mathematics Creatively
Teaching Mathematics Creatively

Author: Linda Pound

Publisher: Routledge

Published: 2021-09-30

Total Pages: 185

ISBN-13: 1000457168

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This revised and updated third edition offers a range of strategies, activities and ideas to bring mathematics to life in the primary classroom. Taking an innovative and playful approach to maths teaching, this book promotes creativity as a key element of practice and offers ideas to help your students develop knowledge, understanding and enjoyment of the subject. In the creative classroom, mathematics becomes a tool to build confidence, develop problem solving skills and motivate children. The fresh approaches explored in this book include a range of activities such as storytelling, music and construction, elevating maths learning beyond subject knowledge itself to enable students to see mathematics in a new way. Key chapters of this book explore: • Learning maths outdoors - make more noise, make more mess or work on a larger scale • Everyday maths - making sense of the numbers, patterns, shapes and measures children see around them • Music and maths – the role of rhythm in learning, and music and pattern in maths Stimulating, accessible and underpinned by the latest research and theory, this is essential reading for trainee and practising teachers who wish to embed creative approaches to maths teaching in their classroom.

Inspiring Primary Learners
Inspiring Primary Learners

Author: Roger McDonald

Publisher: Routledge

Published: 2021-02-25

Total Pages: 272

ISBN-13: 0429656335

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Inspiring Primary Learners offers trainee and qualified teachers high-quality case studies of outstanding practice in contemporary classrooms across the country. Expert authors unravel and reveal the theory and evidence that underpins lessons, helping you make connections with your own practice and understand what ‘excellent’ looks like, within each context, and how it is achieved. Illustrated throughout with interviews, photos, and examples of children’s work, it covers a range of primary subjects and key topics including creating displays, outdoor learning, and developing a reading for pleasure culture. The voice of the practitioner is evident throughout as teachers share their own experience, difficulties, and solutions to ensure that children are inspired by their learning. Written in two parts, the first exemplifies examples of practice for each National Curriculum subject, whilst the second focuses on the wider curriculum and explores issues pertinent to the primary classroom, highlighting important discussions on topics such as: Reading for pleasure Writing for pleasure Creating a dynamic and responsive curriculum Creating inspiring displays Outdoor learning Pedagogy for imagination Relationships and Sex Education This key text shows how, even within the contested space of education, practitioners can inspire their primary learners through teaching with passion and purpose for the empowerment of the children in their class. For all new teachers, it provides advice and ideas for effective and engaging learning experiences across the curriculum.

Intensifying Mathematics Interventions for Struggling Students
Intensifying Mathematics Interventions for Struggling Students

Author: Diane Pedrotty Bryant

Publisher: Guilford Publications

Published: 2021-05-19

Total Pages: 226

ISBN-13: 1462546323

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This key resource for K–12 educators offers a systematic guide to delivering Tier 2 and 3 math interventions within a multi-tiered system of support. The volume explains critical math areas in which many students have difficulty--early numeracy, time and money measurement, number combinations, fractions, word-problem solving, algebra, and more. Leading experts describe relevant standards and show how to use data-based individualization to plan, monitor, and intensify instruction in each area. Beginning with bulleted guiding questions, chapters feature a wealth of evidence-based intervention strategies, lesson-planning ideas, and case examples. Reproducible instructional activities and planning forms can be downloaded and printed in a convenient 8 1/2" x 11" size.

The AMTE Handbook of Mathematics Teacher Education
The AMTE Handbook of Mathematics Teacher Education

Author: Babette M. Benken

Publisher: IAP

Published: 2024-02-01

Total Pages: 490

ISBN-13:

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This new volume of The Association of Mathematics Teacher Educators (AMTE) Professional Book Series is a critical and timely resource that paves the way and guides the future of mathematics teacher education. The collection of work in this AMTE Handbook of Mathematics Teacher Education reflects on research and what we know about how best to prepare and support both mathematics teachers and mathematics teacher educators and presents what is happening in the field. Examples included in the 22 chapters highlight how we are preparing teachers across multiple contexts (e.g., within district, in content courses for the major) and grade ranges (K-20+) and all chapters highlight relevant connections to the AMTE Standards for Preparing Teachers of Mathematics. Most importantly, this volume explores what we do not yet fully understand and where we are going. In essence, it considers how we can move the field forward. The 95 contributing authors range from graduate students to those who have served as leaders in the field in multiple ways for many years. Authors include K-12 teachers, school administrators, district leaders, graduate students, higher education faculty, and professional development facilitators.