Teaching practice 3
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Teaching practice week 3
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Ramanujan number
1729 is known as the Hardy–Ramanujan number because of a famous anecdote involving the mathematicians G. H. Hardy and Srinivasa Ramanujan. When Hardy remarked that the taxi cab number 1729 seemed dull, Ramanujan revealed that 1729 can be expressed as the sum of two cubes in two different ways: 1729 = 13 + 123 = 93 + 103. This makes 1729 the smallest number that can be expressed in two distinct ways as the sum of cubes, earning it the description of a "taxicab number."
Geometrycal figures
This document defines and provides formulas for calculating properties of common geometric shapes including circles, triangles, rectangles, squares, spheres, and cylinders. Circles are defined as all points equidistant from a fixed center point, and formulas are given for calculating a circle's area and perimeter based on its radius. Triangles are defined as three-sided polygons with three angles, and formulas show how to calculate a triangle's area and perimeter using its side lengths and height. Formulas are also given for calculating the area, perimeter, surface area and volume of rectangles, squares, spheres and cylinders based on their defining properties like length, width, radius, and height.
Mathematics in daily life
Mathematics is an essential skill used in many aspects of daily life. Cooking requires measuring ingredients accurately which may involve multiplication or division. Managing personal finances at the bank requires an understanding of basic math concepts to avoid financial problems. Keeping schedules and diaries for appointments relies on an ability to track times and dates mathematically. Statistics drawn from history are also important for understanding what has worked and not worked in the past to bring balance and structure going forward. Overall, modern life involves using numbers and basic math concepts in activities like cell phone use, cooking, banking, record keeping, and scheduling.
Branches of mathematics
Mathematics can be divided into several branches that each focus on different areas of study. Some of the main branches include arithmetic, algebra, mathematical analysis, combinatorics, and geometry/topology. Arithmetic is the oldest branch and focuses on numbers and basic operations like addition and multiplication. Algebra studies the properties of numbers and methods for solving equations. Mathematical analysis examines continuous change through calculus, limits, and functions. Combinatorics analyzes discrete collections of objects and their relationships. Geometry and topology use spatial relationships and properties of shapes.
Ancient mathematicians
This document discusses the importance of education in empowering women. It states that educating girls and women enables them to make their own decisions, stand up against discrimination, and access jobs that help them gain financial independence. With education, women can become advocates for gender equality and play a greater role in transforming society.
Correlation
Mathematics is applied in various branches of science:
- In physics, mathematics is an essential tool and physics inspires new mathematics.
- In chemistry, mathematical modeling is used to model chemical phenomena.
- In biology, precise mathematical models are needed to represent complex biological systems like protein interactions, and quantitative modeling allows simulation and prediction of properties.
- In social sciences, mathematics is used to model fields like economics, psychology, and political science through techniques like game theory and decision modeling.
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Ramanujan number
1729 is known as the Hardy–Ramanujan number because of a famous anecdote involving the mathematicians G. H. Hardy and Srinivasa Ramanujan. When Hardy remarked that the taxi cab number 1729 seemed dull, Ramanujan revealed that 1729 can be expressed as the sum of two cubes in two different ways: 1729 = 13 + 123 = 93 + 103. This makes 1729 the smallest number that can be expressed in two distinct ways as the sum of cubes, earning it the description of a "taxicab number."
Geometrycal figures
This document defines and provides formulas for calculating properties of common geometric shapes including circles, triangles, rectangles, squares, spheres, and cylinders. Circles are defined as all points equidistant from a fixed center point, and formulas are given for calculating a circle's area and perimeter based on its radius. Triangles are defined as three-sided polygons with three angles, and formulas show how to calculate a triangle's area and perimeter using its side lengths and height. Formulas are also given for calculating the area, perimeter, surface area and volume of rectangles, squares, spheres and cylinders based on their defining properties like length, width, radius, and height.
Mathematics in daily life
Mathematics is an essential skill used in many aspects of daily life. Cooking requires measuring ingredients accurately which may involve multiplication or division. Managing personal finances at the bank requires an understanding of basic math concepts to avoid financial problems. Keeping schedules and diaries for appointments relies on an ability to track times and dates mathematically. Statistics drawn from history are also important for understanding what has worked and not worked in the past to bring balance and structure going forward. Overall, modern life involves using numbers and basic math concepts in activities like cell phone use, cooking, banking, record keeping, and scheduling.
Branches of mathematics
Mathematics can be divided into several branches that each focus on different areas of study. Some of the main branches include arithmetic, algebra, mathematical analysis, combinatorics, and geometry/topology. Arithmetic is the oldest branch and focuses on numbers and basic operations like addition and multiplication. Algebra studies the properties of numbers and methods for solving equations. Mathematical analysis examines continuous change through calculus, limits, and functions. Combinatorics analyzes discrete collections of objects and their relationships. Geometry and topology use spatial relationships and properties of shapes.
Ancient mathematicians
This document discusses the importance of education in empowering women. It states that educating girls and women enables them to make their own decisions, stand up against discrimination, and access jobs that help them gain financial independence. With education, women can become advocates for gender equality and play a greater role in transforming society.
Correlation
Mathematics is applied in various branches of science:
- In physics, mathematics is an essential tool and physics inspires new mathematics.
- In chemistry, mathematical modeling is used to model chemical phenomena.
- In biology, precise mathematical models are needed to represent complex biological systems like protein interactions, and quantitative modeling allows simulation and prediction of properties.
- In social sciences, mathematics is used to model fields like economics, psychology, and political science through techniques like game theory and decision modeling.
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Teaching practice 3
- 1. REFLECTION ON TEACHING PRACTICE WEEK-3 BY Aswathy U S
- 2. Week3 1-8-2016--------6-8-2016 1,3,6 തീയതികളിൽ ക്ലാസ് എടുക്കാൻ കഴിഞ്ഞു . സമവാകയജ ാടികൾ അധ്യായത്തിലെ ചിെ ആശയങ്ങളാണ് പഠിപ്പിച്ചത് . കഴിഞ്ഞുജപായ ക്ളാസ്സുകളിൽ നിന്ുും വളലെ ലമച്ചലപ്പട്ട െീതിയിൽ ക്ലാലസ്സടുക്കാൻ കഴിഞ്ഞു . കുട്ടികൾ ശെിയായ െീതിയിൽ ക്ലാസ് പ്പവത്തനങ്ങളിൽ പലെടുത്തു . തുടർന്് 4,5 തീയതികളിൽ ക്ലാലസ്സടുക്കാൻ കഴിഞ്ഞിെല . സ്കൂൾ കായികദിനമായിെുന്ു . വളലെ ഉത്സാഹജത്താലടയാണ് അധ്യാപകെുും കുട്ടികളുും കായികദിനും ആജ ാഷിച്ചത് . പെതെും കായിക മത്സെങ്ങൾ ഉണ്ടായിെുന്ു . വി യികൾക്ക് ലമഡൽ വിതെണവുും ഉണ്ടായിെുന്ു . ആദയലത്ത ദിവസും അധ്യാപകർക്കായി ഭക്ഷണും ഉണ്ടായിെുന്ു എന്തുലകാണ്ടുും ഈ ദിനങ്ങൾ അധ്യാപന ീവിതത്തിൽ നെല മുഹൂർത്തങ്ങളായിെുന്ു