Let us Understand Mathematics-KG and Class 1

· Harinder Mahajan
Ebook
146
Pages
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About this ebook

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.



About the author

Harinder Mahajan did her B.Sc.(Honours) and M.Sc. in Mathematics from Delhi University and M.S. in Statistics and Ph.D. in Education from Stanford University. 

She retired as Research Scientist C from Delhi University. Prior to that, she had worked as Lecturer in Mathematics for an undergraduate college of Punjab University; Senior Research Assistant and Pool Officer in National Council of Educational Research and Training; Reader in Statistics in A.N. Sinha Institute of Social Research, Patna; Senior Lecturer in Statistics in Khartoum University, Sudan; Senior Research Fellow in Indian Council of Social Science Education. She was involved in Research in Measurement and Evaluation in and Mathematics and Statistics, Statistical Consulting, and Teaching Statistics, Research Methods, and Psychometrics. She has published several papers on Mathematics Education and has written several books in Mathematics for Elementary Grades(This book is a revised version of this series published on www.vidyaonline.net).



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