D.El.Ed. First Year Mathematics and Mathematics Teaching notes

  • D.El.Ed. (Diploma in Elementary Education) program.
  • Focuses on Mathematics and mathematics teaching.
  • First year course.
  • State Council of Educational Research and Training, Chhattisgarh, Raipur.

Constitution of India

  • Highlights the preamble, ensuring justice, liberty, equality, and fraternity for all citizens.
  • Adopted on 26th November, 1949.

Course Details

  • Publication Year: 2021.
  • Course Coordinator: Dekeshwar Prasad Verma.
  • Subject Coordinator: Dr. Sudhir Shrivastava.
  • Gratitude to authors/publishers and institutions like IGNOU, NCERT, Vidya Bhavan Society Udaipur for contributing study material.

Foreword

  • Emphasizes the importance of teacher education in shaping the future of the nation.
  • Stresses the need for quality teacher preparation for improving education.
  • Highlights the changing role of teachers as facilitators of learning, understanding children, and respecting their experiences.
  • Advocates for radical changes in teacher education, focusing on understanding education, subjects, children's learning, and the relation between society and education.

Acknowledgements

  • Acknowledges contributions from authors, publishers, IGNOU, NCERT, Vidya Bhavan Society Udaipur, and others.
  • Expresses gratitude to colleagues involved in preparing the text material.
  • Invites suggestions and criticisms for future improvements.

Unit 1: Innocent Math

  • Lesson 1: What is mathematics and where did it come from? (pages 3-8)
  • Lesson 2: Identify the Learners (pages 9-25)
  • Lesson 3: Thoughts about the learner (pages 26-40)
  • Comments on exercises of chapters 1, 2, and 3.

Unit 2: Counting is at the Root

  • Lesson 4: How to teach counting (pages 49-63)
  • Lesson 5: Units tens and beyond (pages 64-76)

Unit 3: First and Last Mathematics

  • Lesson 6: Addition and subtraction (pages 82-97)
  • Lesson 7: Multiply and divide (pages 98-116)

Unit 4: Pieces or Whole?

  • Lesson 8: Parts of which whole (pages 124-133)
  • Lesson 9: Varieties of fraction (pages 134-152)
  • Lesson 10: Decimal (pages 153-168)

Unit 5: Sense of Place

  • Lesson 11: Sense of place (pages 182-200)
  • Lesson 12: Measuring angle (pages 201-215)
  • Lesson 13: Start of measurement (pages 216-234)

Unit 6: Children and Math

  • Lesson 14: Helping children learn math (pages 242-256)
  • Lesson 15: Class work (pages 257-269)
  • Lesson 16: Use of data (pages 273-284)
  • Learning outcomes Classes 1 to 5 (pages 285-294)

Introduction to Unit 1

  • Discusses mathematics in everyday life and its presence in nature.
  • Addresses common negative attitudes towards math.
  • Highlights the importance of understanding the deeper rules of the universe through mathematics.
  • Encourages critical thinking and open-mindedness about the nature of mathematics.

Introduction to Unit 2

  • This chapter discusses lesson on how to teach counting and its importance.
  • Discuss the importance of mathematics and relate this to the real world

Introduction to Unit 3

  • This chapter starts by describing small cultures that don't need to count past four, and how mathematics emerges from real-life necessity.
  • The world of computer relies on the scale of just two digits (0 and 1).

Notes on Unit 1 exercises

  • Examples of Mathematics around us, ratio and proportion. Distance from focal point, symmetry in floral arrangements, folk painting, clothing design, plants. Use of probability in daily conversations.
  • Project work for children, puzzles that will help them realize maths is fun.

Notes on Unit 2 exercises

  • Regrouping and combining concepts, problems with teaching, perceptual numbers. Child interaction with world.
  • Class project observe students from class 1 - 5.
  • Give examples of concepts that the children memorize without understanding.

Notes on Unit 3 exercises

  • Understanding between tow teachers, understanding of learning, teaching methods, expectations from children.
  • Show children something and wants htem to repeat, not being sympathetic towards children.
  • Observe a child in the classroom and record what she is saying