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Math Makes Sense

Author: Ana Helvia Quintero
Publisher: World Scientific
ISBN: 1783268662
Size: 19.35 MB
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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. Math Makes Sense! makes use of the realistic mathematics education (RME) philosophy, which bridges the gap between informal mathematics learning (such as in day-to-day life) and more formal teaching in school. Many real-life situations as examples for learning are included, as well as different mathematical and logic puzzles that will stimulate learning and foster understanding. The ideas presented are not confined to one national curriculum and so can be helpful worldwide to teachers/ instructors (both in practice and those still in training), private tutors, homeschooling parents, and educational researchers. Contents:PrefaceAcknowledgmentsAbout the AuthorsFostering the Learning of MathematicsConstruction of Concepts and Mathematical InterpretationsNumberingAddition and SubtractionMultiplication and DivisionFractions, Decimals, and PercentagesMeasurementExploring SpaceProbability and StatisticsPatterns, Relations, and FunctionsThe Joy of PuzzlesTechnology: A Tool for Analysis and InterpretationAssessmentConcluding Remarks Readership: Teachers, trainee teachers, researchers interested in mathematics education, homeschool parents, and parents with children in primary/ elementary school. Key Features:This book is grounded on solid mathematics learning research, as well as on the authors' own observations in the classroom, and so combines theoretical knowledge with practiceWritten in an accessible mannerGives educators ideas which they can easily implement in the classroom

Exploring The Math And Art Connection

Author: Daniel Jarvis
Publisher: Brush Education
ISBN: 1550593986
Size: 15.34 MB
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Daniel Jarvis and Irene Naested highlight the natural association between math and art in a series of practical ideas for the classroom, because when students understand the math/art connection, their understanding and confidence increase in both subjects. Through innovative teaching strategies and more than 100 rich learning experiences, Jarvis and Naested give teachers a wealth of engaging tools to explore the math/art connection with their own students. This connection is established through examinations of natural and human-designed objects, from how pine cone scales spiral out in a Fibonacci sequence to how geometric shapes combine in architecture to form some of the most beautiful structures on the planet.

Battleground Science And Technology 2 Volumes

Author: Peter H. Denton
Publisher: ABC-CLIO
ISBN: 156720743X
Size: 73.23 MB
Format: PDF, ePub
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The modern world is filled with debate and controversy, and science and technology—the most characteristic features of the modern world—are not immune. Science and technology are implicated in many if not all of the issues, troubles, and problems students are likely to come across in their classes and in their everyday lives. Science and technology serve as a primary pathway to understanding front page headlines on everything from war to AIDS, and from oil exploration to global warming. Battleground: Science and Technology examines the most hot-button issues involving science and technology and provides a balanced assessment of the arguments on all sides of the often strident debates. The approximately 100 issues examined in Battleground: Science and Technology include topics in the brain sciences, including the controversies over the cause of autism and the reliability of memory, as well as the debates over parapsychology; debates surrounding information technology, such as only privacy, the impact of video games on social behavior, and the advent of virtual reality; the complexity over drugs and medications, such as the testing of the efficacy of medications, the war on recreational drugs, and the costs of pharmaceutical research; and hot-button topics that are constantly in the news, such as evolution and creationism, DNA testing, stem-cell research, and genetically modified organisms. Each entry provides a list of accessible resources useful for further research.

Bringing The Common Core Math Standards To Life

Author: Yvelyne Germain-McCarthy
Publisher: Routledge
ISBN: 1317820886
Size: 34.36 MB
Format: PDF, ePub
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As middle school math teachers shift to the Common Core State Standards, the question remains: What do the standards actually look like in the classroom? This book answers that question by taking you inside of real, Common Core classrooms across the country. You’ll see how exemplary teachers are meeting the new requirements and engaging students in math. Through these detailed examples of effective instruction, you will uncover how to bring the standards to life in your own classroom! Special Features: • A clear explanation of the big shifts happening in the classroom as a result of the Common Core State Standards • Real examples of how exemplary teachers are meeting the CCSS by teaching problem solving for different learning styles, proportional reasoning, the Pythagorean theorem, measurements, and more • A detailed analysis of each example to help you understand why it is effective and how you can try it with your own students • Practical, ready-to-use tools you can take back to your classroom, including unit plans and classroom handouts

Investigating Mathematics Teaching

Author: Barbara Jaworski
Publisher: Psychology Press
ISBN: 9780750703734
Size: 57.80 MB
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This book is about mathematics, teaching and learning and how these are affected by a constructivist philosophy. Chapter 1 presents background to the study of an investigative approach to mathematics teaching. Chapter 2 provides an account of constructivism as a philosophy of knowledge and learning and includes a rationale for both radical and social constructivism and relationships between constructivism and knowledge, communication, and the classroom. Chapter 3 presents the author's early thinking about an investigative approach to mathematics teaching. Chapter 4 examines the choice of an ethnographic approach to research through participant observation and informal interviewing and also examines issues that arise from an interpretivist analysis. Chapters 6, 7, and 9 are case studies detailing a characterization of the teaching and thinking of three teachers and the development of theory through analysis of observations. Included is a descriptive model, the Teaching Triad, which arose from the categorization of data. Chapters 5 and 8 offer interludes of research reflections. Chapter 10 presents a synthesis of general concepts in terms of characteristics of an investigative approach and tensions that it raises for teachers in its classroom implementation. Chapter 11 offers a characterization of the teacher-researcher relationship which includes a descriptive model for reflective practice. Finally, Chapter 12 reexamines the relevance of constructivism to research outcomes in light of questions about the adequacy of radical constructivism to explain the complexities of classroom interaction. Each chapter contains notes. (Contains 221 references.) (MKR)

Mathematics Teacher Education

Author: A.J. Dawson
Publisher: Routledge
ISBN: 1135709602
Size: 37.73 MB
Format: PDF
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Currently there is substantial exchange and communication between academic communities around the world as researchers endeavour to discover why so many children 'fail' at a subject that society deems crucial for future economic survival. This book charts current thinking and trends in teacher education around the world, and looks critically at the inservice education of maths teachers. The contributors explore the processes , practices and issues in teacher education projects in ten countries and these are then discussed and related to current philosophies of teacher education. The book provides an insight into the successes and shortcomings of many different approaches to maths education.

Collaborating To Support All Learners In Mathematics And Science

Author: Faye Brownlie
Publisher: Portage & Main Press
ISBN: 1553793048
Size: 65.64 MB
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In this second volume of It’s All About Thinking, the authors focus their expertise on the disciplines of mathematics and science, translating principles into practices that help other educators with their students. How can we help students develop the thinking skills they need to become successful learners? How does this relate to deep learning of important concepts in mathematics and science? How can we engage and support diverse learners in inclusive classrooms where they develop understanding and thinking skills? In this book, Faye, Leyton and Carole explore these questions and offer classroom examples to help busy teachers develop communities where all students learn. This book is written by three experienced educators who offer a welcoming and “can-do” approach to the big ideas in math and science education today. In this book you will find: insightful ways to teach diverse learners (Information circles, open-ended strategies, inquiry, manipulatives and models) lessons crafted using curriculum design frameworks (udl and backwards design) assessment for, as, and of learning fully fleshed-out lessons and lesson sequences; inductive teaching to help students develop deep learning and thinking skills in Math and Science assessment tools (and student samples) for concepts drawn from learning outcomes in Math and Science curricula excellent examples of theory and practice made accessible real school examples of collaboration — teachers working together to create better learning opportunities for their students

Open Ended Maths Investigations

Author: Ann Baker
Publisher: Blake Education
ISBN: 9781921143557
Size: 58.62 MB
Format: PDF, ePub, Mobi
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Provides teachers with open-ended investigations into: Number, Money, Measurement, Space, Chance and data, Patterns and algebra.

Reconceiving Mathematics Instruction

Author: Raffaella Borasi
Publisher: Greenwood Publishing Group
ISBN: 9781567501674
Size: 49.53 MB
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As dissatisfaction with the current status of school mathematics grows worldwide, educators and professionals alike are calling for reforms and instructional changes. Yet, significant changes can only be achieved if each educator of school mathematics personally rethinks various aspects of mathematics instruction, and identifies concrete ways in which their current practice could be modified. Before such visions can be meaningfully implemented in classrooms, it is important that mathematics teachers and educators examine critically both the assumptions and implications of the vision for school mathematics that the reports propose. This book is intended to support educators in such a challenging enterprise by focusing attention on errors and their use in mathematics instruction. Throughout the book, an approach to errors as opportunities for learning and inquiry will be developed and employed both as a means to create the kinds of instructional experiences advocated for school mathematics reform, and as a heuristic to invite reflections about school mathematics as well as mathematics as a discipline. REVIEWS: ...Raffaella Borasi's newest book offers important contributions to the current debate on school mathematics reform. - Journal for Research in Mathematics Education There are some great bits of philosophy in this book... - Mathematics Teaching