Let Us Understand Mathematics Class 5
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| Author | : Harinder Mahajan Ph.D |
| Publisher | : Harinder Mahajan |
| Total Pages | : 136 |
| Release | : |
| Genre | : Art |
| ISBN | : |
I obtained an M.Sc.(Mathematics) from Delhi University, an M.S.(Statistics) from Stanford University, and a Ph.D.(Education) from Stanford University. I have taught Mathematics at the undergraduate level in a college, and Statistics, Research Methods, and Psychometrics at the graduate level at the National Institute of Education(India) and Delhi University. I have published several papers on Mathematics Education and Evaluation in journals and a book series on vidyaonline.org(an earlier version of the series under preparation of which the present book is a part), co-authored a book The Depedability of Behavioral Measurements published by John Wiley and Sons. and a report on Development and Uses of Question Bank illustrated by a Question Bank in Statistics, Delhi University. I retired from Delhi University as a Research Scientist C(Professor level)
| Author | : John Hattie |
| Publisher | : Corwin Press |
| Total Pages | : 209 |
| Release | : 2016-09-15 |
| Genre | : Education |
| ISBN | : 1506362958 |
Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.
| Author | : Harinder Mahajan |
| Publisher | : Harinder Mahajan |
| Total Pages | : 147 |
| Release | : 2021-07-08 |
| Genre | : Art |
| ISBN | : |
This is the first of a series of books based on the NCERT syllabus and research on the teaching of mathematics. As in India, most schools do not have Kindergarten. This book is based on the syllabus for both classes. The teacher in the schools that have kindergarten can decide what to cover in kindergarten and class 1. Teachers in the schools that do not have kindergarten can go at a faster pace as the students there are older(5 years). The focus here is on an understanding of concepts and procedures. The concepts and procedures are presented by manipulatives, pictures, real-world situations, spoken and written words, and symbols and videos that enhance their learning. Opportunities are provided for communication, translation from one mode to another, and applications to daily life. The teachers should use manipulatives that are available or can be made and use situations for exercises that are familiar to the children in the class. As the schools in developing countries have a paucity of resources, we will use sticks for activities with number concepts. The sticks can be replaced by abacus or unifix cubes. The schools that can afford should provide materials such as counters, unifix cubes, pattern blocks, geometrical models, geoboards, fake money, and use these for explaining concepts and procedures. Or teachers can make models of different 2-D and 3–D shapes using cardboard and use dot paper instead of Geoboard. The students can be asked to bring buttons, scissors, and empty boxes, containers of different shapes and sizes from home. All children should at least have 100 sticks of the same length and rubber bands(they can buy pop sticks or toothpicks) and dot paper. As for most teachers, the textbook is the curriculum. This book is a teaching guide cum workbook for students. As the children have not yet developed the reading skills, the concepts, operations, and word problems should be learned and tested orally first. The exercises with manipulatives and oral work are included to facilitate that. Some activity sheets are also provided that can be printed and used by students.
| Author | : HARINDER MAHAJAN |
| Publisher | : Harinder Mahajan |
| Total Pages | : 182 |
| Release | : 2021-08-22 |
| Genre | : Art |
| ISBN | : |
This is part of a revised series of books based on research on the teaching of mathematics for class 4 in India earlier published on www.vidyaonline.net. This covers the NCERT syllabus for class 4. The focus here is on laying a foundation for further learning of mathematics and understanding of concepts and procedures. Concepts are presented by videos, manipulatives, pictures, real-world situations, spoken and written words, and symbols. Automaticity (answering without thinking) of multiplication and division facts are emphasized. The teachers should provide more practice if necessary for mastery of the concepts, and procedures and use situations for exercises that are familiar to the children in the class. Ample opportunities are provided for applications of mathematics to real-world situations, reasoning, communication, and problem solving. The schools that can afford should provide concrete manipulatives such as counters, geometrical models, tangram pieces, blocks, geoboards, balances, fraction pieces, graphs, scissors, ropes. The schools that cannot afford teachers and/or students can make some of these and improvise for others. For example, they can make tangram pieces, 3-D models, balance, use dot paper for Geoboard, draw small circles for counters, use fraction chart for fraction pieces. Some activity sheets are provided that can be removed and used. Answers to selected exercises are provided.
| Author | : Harinder Mahajan |
| Publisher | : Harinder Mahajan |
| Total Pages | : 140 |
| Release | : 2021-07-31 |
| Genre | : Art |
| ISBN | : |
This is part of a series of books based on the NCERT syllabus and research on the teaching of mathematics for class 3. This is part of a revised series of books on mathematics for class 3 in India earlier published on www.vidyaonline.net. The focus here is on an understanding of concepts and procedures necessary for further learning and problem solving. The concepts are presented by videos, manipulatives, pictures, real-world situations, spoken and written words, and symbols. Exercises are provided for translation from one mode to another, reasoning, communication, and applications to real-life and problem solving. Automaticity (answering without thinking) of addition, multiplication, subtraction, and division facts are emphasized. The teachers should provide more practice if necessary for mastery of number facts and procedures. The schools that can afford should provide manipulatives such as counters, geometrical models, tangram pieces, blocks, geoboards, dot papers, balances, scissors. In schools with a paucity of resources teachers and/or students can make models. Children can bring from home sticks, small boxes, pipes, scissors. Exercises with manipulatives and oral work are included to facilitate the teacher’s work. Answers to selected exercises are provided.
| Author | : Harinder Mahajan |
| Publisher | : Harinder Mahajan |
| Total Pages | : 126 |
| Release | : 2021-07-17 |
| Genre | : Art |
| ISBN | : |
This is the second of a series of books based on the NCERT syllabus and research on the teaching of mathematics. The focus here is on an understanding of concepts and procedures. The concepts and procedures are presented by manipulatives, pictures, real-world situations, spoken and written words, and symbols and videos that enhance their learning. Opportunities are provided for communication, translation from one mode to another, and applications to daily life. The teachers should use manipulatives that are commercially available or can be made and use situations for exercises that are familiar to the children in the class. As most of the schools in India have a paucity of resources, we will use sticks for activities with number concepts. The sticks can be replaced by an abacus or base ten blocks. The schools that can afford should provide materials such as counters, Al abacus, pattern blocks, geometrical models, geoboards, fake money, and use these for explaining concepts and procedures. If the schools/students cannot afford these, teachers can make models of different 2-D and 3–D shapes using cardboard and use dot paper instead of Geoboard. The students can be asked to bring buttons, scissors, and empty boxes, containers of different shapes and sizes from home. All children should at least have 100 sticks of the same length and rubber bands(they can buy pop sticks or toothpicks) and dot paper. As for most teachers, the textbook is the curriculum. This book is a teaching guide cum workbook for students. As the children have not yet developed the reading skills, the concepts, operations and word problems should be learnt and tested orally first. The exercises with manipulatives and oral work are included to facilitate that. Some activity sheets are also provided that can be printed and used by students.
| Author | : Nanci N. Smith |
| Publisher | : Corwin Press |
| Total Pages | : 305 |
| Release | : 2017-02-01 |
| Genre | : Education |
| ISBN | : 1506390315 |
Differentiation that shifts your instruction and boosts ALL student learning! Nationally recognized math differentiation expert Nanci Smith debunks the myths surrounding differentiated instruction, revealing a practical approach to real learning differences. Theory-lite and practice-heavy, this book provides a concrete and manageable framework for helping all students know, understand, and even enjoy doing mathematics. Busy K-5 mathematics educators learn to Provide practical structures for assessing how students learn and process mathematical concepts Design, implement, manage, and formatively assess and respond to learning in a standards-aligned differentiated classroom; and Adjust current instructional materials to better meet students' needs Includes classroom videos and a companion website.
| Author | : |
| Publisher | : EduGorilla Community Pvt. Ltd. |
| Total Pages | : 134 |
| Release | : |
| Genre | : Education |
| ISBN | : 9358801212 |
| Author | : Margaret (Peg) Smith |
| Publisher | : Corwin Press |
| Total Pages | : 241 |
| Release | : 2019-08-14 |
| Genre | : Education |
| ISBN | : 1544321147 |
Take a deep dive into the five practices for facilitating productive mathematical discussions Enhance your fluency in the five practices—anticipating, monitoring, selecting, sequencing, and connecting—to bring powerful discussions of mathematical concepts to life in your elementary classroom. This book unpacks the five practices for deeper understanding and empowers you to use each practice effectively. • Video excerpts vividly illustrate the five practices in action in real elementary classrooms • Key questions help you set learning goals, identify high-level tasks, and jumpstart discussion • Prompts guide you to be prepared for and overcome common challenges Includes planning templates, sample lesson plans and completed monitoring tools, and mathematical tasks.
| Author | : R. S. Dhauni |
| Publisher | : Goyal Brothers Prakashan |
| Total Pages | : 258 |
| Release | : 2024-01-02 |
| Genre | : Juvenile Nonfiction |
| ISBN | : 9357262695 |
Illustrative Mathematics for Primary Classes is an exciting and innovative series which is based on the latest features of the National Education Policy (NEP) 2020 and National Curriculum Framework (NCF) 2023. This series is suitable for all schools affiliated with CBSE, New Delhi. Each chapter has been meticulously crafted to conform with the NCF's Panchpadi, ensuring a comprehensive and cutting-edge learning experience. The concept based age-appropriate activities and assessment section are based on Panchakosha and Pramanas, aiming for the holistic development of the learner. To improve the learning experience, we have seamlessly incorporated 21st century skills and the Sustainable Development Goals (SDGs) into this edition. The components of this series are: • Illustrative Mathematics Books 1 to 5 for primary classes (with online support). • Illustrative Mathematics Teacher's Resource Books 1 to 5 for primary classes. Salient Features of the books in this series are: • A graded and spiralling approach has been used, keeping in mind the age and level of understanding of the child. • Eye-catching illustrations and a child-friendly layout capture the imagination of the child and create an interest in the subject. • Each chapter begins with the heading Warm Up, which refreshes the concepts learnt in the previous class. • Maths Lab Activity helps the children develop different problem-solving strategies. • Puzzles I Riddles encourage children to think critically, analyse information, and apply problem-solving strategies to find solutions. • Games/ Activities to enhance engagement, learning retention, and critical thinking skills while making learning more enjoyable. • Art Integration Activities foster creativity, enhance comprehension, and connect mathematical concepts with Art and Culture. • Sustainable Development Goals (SDGs) to develop insights into critical issues around the world such as poverty, inequality, and environmental sustainability to create a better future for all. • Multiple Choice Questions (MCQs) for better understanding of the lesson. • Value-Based Questions to inculcate moral values in the children. • Fun Time contains out of the box questions which challenge the understanding capacity of the children. • Assignments under Mental Maths not only enhance the mathematical and calculation skills of the children but also cement the concepts learnt. • Competency-Based questions to improve analytical and logical reasoning, and observation skills. • Case Study Based questions to inspire the students to apply the mathematical knowledge acquired, to solve real life problems. Salient Features of the Teacher's Resource Books are: • Learning Objectives of the Lesson • Overview of the Lesson • Teaching-Learning Strategies • Hints for some Selected Problems Salient Features of Online Support are: • Animated Videos/Video Lectures • Interactive Exercises • Chapter-wise Worksheets • Maths Glossary It is hoped that the series will meet the requirements of students, teachers and parents alike. Suggestions and constructive criticism for the improvement of the books would be highly appreciated. -The Publishers
