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

  • D.El.Ed. stands for Diploma in Elementary Education, a program focused on mathematics and its teaching methods for first-year students.
  • The textbook is published by the State Council of Educational Research and Training, Chhattisgarh, Raipur, with the publication year marked as 2021.

Key Personnel

  • Patron & Mentor: Rahul Venkat, I.A.S., Director, State Council of Educational Research and Training, Chhattisgarh, Raipur.
  • Course Coordinator: Dekeshwar Prasad Verma
  • Subject Coordinator: Dr. Sudhir Shrivastava
  • Special Assistance: U.K. Chakravarti, R.K. Verma
  • Technical Support and Material Collection: Vidya Bhawan Society Udaipur Rajasthan, Chhattisgarh Education Reference Centre Raipur
  • Cover and Layout: Sudhir Kumar Vaishnav, Himanshu Verma

Acknowledgment

  • Gratitude is expressed to authors/publishers whose works/articles are included.
  • Vidya Bhavan Society Udaipur, Digantar Jaipur, Eklavya Bhopal, Azim Premji Foundation Bangalore, ICICI Foundation Pune, IIT Kanpur, Chhattisgarh Education Reference Centre Raipur, SCERT, and DIET/BTI are acknowledged for giving the present form to the study material.
  • Gratitude to colleagues involved in preparing the text material, syllabus, and compilation of the text material.

Aim of Teacher Education

  • The document addresses the necessity of aligning teacher education with the evolving needs of society, referencing the Yashpal Committee Report (1993) and the Kothari Commission (1964-66).
  • It emphasizes preparing teachers as professionals for improving the quality of education.
  • The National Curriculum Framework 2005 is highlighted for its emphasis on understanding children, classroom behavior, creating suitable learning environments, selecting appropriate materials, maintaining curiosity, and respecting experiences.
  • Radical changes in teacher education are advocated to support teachers in facilitating learning, discovering student talents, and developing social and human values for responsible citizenship.

Curriculum Focus of D.El.Ed.

  • The curriculum aims to focus on understanding education, subjects, how children learn, and the relation between society and education.
  • The curriculum prioritizes understanding the subject matter over teaching methods, philosophical aspects of education, curriculum foundations, and understanding the diversity in children's backgrounds and learning styles.

Overview of Units and Lessons

Unit 1: Innocent Math

  • Lesson 1: What is mathematics and where did it come from?
    • Explores mathematics' usefulness in daily life and the development of mathematical concepts.
    • Discusses linking new concepts with children's prior knowledge.
    • Emphasizes that mathematics is omnipresent and powerful, serving entertainment purposes as well.
  • Lesson 2: Identify the Learners
    • Discusses stages of children's thinking and learning development, determining appropriate levels for teaching math concepts in primary school.
    • Explains the importance of understanding mathematics for effective teaching and the factors influencing childrens attitudes towards mathematics.
  • Lesson 3: Thinking about Learners
    • Examines assumptions about how children learn, such as imitation and being blank slates, and presents arguments against these views.

Unit 2: Counting is at the Root

  • Lesson 4: How to Teach Counting
    • Explores counting processes.
    • Emphasizes it's important to differetiate reciting numbers to actually counting.
  • Lesson 5: Units, Tens, and Beyond
    • Focuses on basic understanding of math and mathematics operations.

Unit 3: First and Last Mathematics

  • Lesson 6: Addition and Subtraction
    • Focuses on relationships and operations.
  • Lesson 7: Multiply and Divide
    • Expands on the first and last of mathematics operations.

Unit 4: Pieces or Whole?

  • Lesson 8: Parts of Which Whole
    • Explores children confused ideas about parts and whole.
  • Lesson 9: Varieties of Fraction
    • Discusses how to draw diagrams for fractions.
  • Lesson 10: Decimal
    • Explores the scale of ten for decimal numbers.

Unit 5: Sense of Place

  • Lesson 11: Sense of Place
    • Introduces children to geometric concepts like planes and surfaces.
  • Lesson 12: Measuring Angle
    • Teaches how to measure angles.
  • Lesson 13: Start of Measurement
    • Explores measuring length.

Unit 6: Children and Math

  • Lesson 14: Helping Children Learn Math
    • Discusses major learning principles.
  • Lesson 15: Class Work
    • Focuses on how to plan the class work.
  • Lesson 16: Use of Data
    • Emphasizes data compiling.

Notes on Exercises

  • Lesson 1: Discusses kitchen math, symmetries, and using mathematics for measurements.
  • Lesson 2: Centers on children's early knowledge, the difference in adult and child perspectives, and reducing the gap between them in primary classes.
  • Lesson 3: Highlights the importance of children’s independent exploration and experimentation, not just imitation.

Unit 2 Notes

  • How to Teach Counting: Explains how to guide children from real-world experience to mathematical concept.

Unit 3 Notes

  • Highlights the roots of mathematics and how it supports trade and other important life experiences

Unit 4 Notes

  • Highlights basic challenges and activities used to develop these difficult topics.

Unit 5 Notes

  • Highlights basic concepts and activities used to develop these difficult topics.

Unit 6 Notes

Notes from exercises:

  • Highlights the importance of making mistakes in the classroom and not being ashamed.
    Learning is continuous