Mathematics: Definition, History, and Indian Contributions
Definition of Mathematics
Mathematics is the branch of knowledge that deals with numbers, quantities, shapes, patterns, measurements, and logical reasoning. The word Mathematics is derived from the Greek word “Mathema,” meaning “knowledge” or “learning.”
Perspectives from Scholars
- Benjamin Peirce: “Mathematics is the science that draws necessary conclusions.”
- Comte: “Mathematics is the science of indirect measurement.”
- James and James: “Mathematics is the science of logical study
CHYS 1F90 Developmental Science Key Concepts Summary
CHYS 1F90 – Comprehensive Exam Summary
Part 1: Foundations of Development
A. Genetics & Prenatal Development
- Conception: 46 chromosomes (23 from each parent).
- Gene Expression: Dominant vs. recessive genes, polygenic inheritance.
- Chromosomal Abnormalities:
- Down Syndrome (Trisomy 21).
- Turner Syndrome (X–), Klinefelter (XXY).
- Caused by inherited or *de novo* mutations.
- Prenatal Stages:
- Zygote: Conception to implantation.
- Embryo: Weeks 3–8 (organ development).
- Fetus: Weeks 9–birth (maturation).
- Teratogens:
Structuring Written Communication: Formal and Informal Genres
1. Formal Letter / Carta Formal Structure
Structure:
- [Your Address]
- [Date]
- [Recipient’s Name / Position]
- [Recipient’s Organisation]
Dear Sir/Madam / Dear Mr/Ms + Surname,
Paragraph 1 – Purpose
- Explain why you are writing.
- Refer to the input text (poster, email, notice, etc.).
Paragraph 2 – Details / Request / Explanation
- Provide specific information, complaints, or suggestions.
- Maintain a formal and objective tone.
Paragraph 3 – Additional Info / Next Steps
- Explain what you expect or what you propose.
20 Essential English Language Teaching Methods and Techniques
20 Key Methods in English Language Teaching (ELT)
1. Direct Method
- Definition: Students learn English primarily through listening and speaking. The teacher strictly avoids using the students’ native language.
- Example: The teacher shows an object (e.g., an apple) and says, “This is an apple.”
- Pros: Promotes rapid development of fluency and comprehension.
- Cons: Can be difficult for absolute beginners due to the complete absence of translation.
2. Grammar-Translation Method
- Definition: Focuses on learning
Philosophical Foundations of Curriculum Design
Philosophical Foundations of Curriculum Design
The educational objectives that learners are to achieve depend on the philosophy of education adhered to by teachers. The learner’s own philosophy also contributes to the curriculum. Pressures from the community further modify philosophical thinking pertaining to teaching–learning situations. Different schools of philosophy—such as idealism, realism, existentialism, and experimentalism—all have unique objectives that learners should acquire.
Philosophy
Read MoreMastering Essay and Letter Formats: Structure and Tips
Opinion Essay Structure
In an opinion essay, you present your views on a subject, writing exclusively from one point of view.
Paragraph Structure
- Introduction: Explain the background of the situation and clearly state your opinion (thesis).
- Main Idea: Present your primary supporting argument.
- Supporting Idea: Present a secondary idea that supports your opinion.
- Conclusion: Restate your opinion and summarize your main points. Do not introduce new information.
Key Writing Tips
- Give specific reasons to support