Nature of Mathematics..pptx
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Mathematics reveals hidden patterns that help us understand the world. It provides training for logical thinking and problem solving. Mathematics is the study of patterns, orders, numbers, geometric objects, algorithms, and change. It has its own precise language and symbols to concisely represent concepts, like pi (π). Mathematics allows abstract concepts to be expressed concretely and helps solve problems in daily life. It is an intellectual exercise with its own rules and puzzles. Mathematics yields results that are either exactly right or wrong, with no in-between.
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Mathematics in our World- Lesson 1
The document discusses the importance and nature of mathematics. It defines mathematics as the science of structure, order, and relations that has evolved from counting and measuring. Some key characteristics of mathematics include classification, logical sequence, structure, generalization, applicability, precision/accuracy, abstractness, symbolism. Mathematics is described as a science of measures, an intellectual game, an art of drawing conclusions, a tool subject, and a system of logical procedure. Examples are given of how mathematics is applied in various fields like nature, medicine, engineering. Famous mathematicians like Pythagoras, Einstein, Descartes, Marie Curie, Kepler, Euclid, and Leonardo Pisano are also mentioned.
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This document provides an overview of a course on mathematics in the modern world. The 3-unit course aims to help students appreciate mathematics beyond formulas by exploring its practical, intellectual and aesthetic dimensions. It covers topics like data management, geometric designs, coding, finance and more. Students will discuss the nature of mathematics and use reasoning to analyze concepts. The goal is for students to see how math is used in everyday life and affirm its honest applications. The course introduces mathematics as a way to explore natural patterns and uses logic and reasoning. Later lessons survey how math is used as a tool in various modern contexts like personal finance and social choices.
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Mathematics is defined in multiple ways throughout the document. It is summarized as the science of quantity, measurement, and spatial relationships. It involves both inductive and deductive reasoning. Inductive reasoning involves making general conclusions from specific observations, while deductive reasoning involves drawing logical conclusions from initial assumptions or axioms. Teaching mathematics effectively uses both inductive and deductive methods, moving from specific examples to broader conclusions or from general principles to specific applications.
1 Teaching mathematics-introduction (meaning, nature & values)
1. Mathematics is defined as both the science of numbers and space, as well as the science of measurement, quantity and magnitude.
2. Mathematics has various values including utilitarian, cultural, social, recreational, disciplinary, intellectual, aesthetic, vocational, and moral values.
3. Key aims in teaching mathematics include enabling students to solve daily life problems, understand mathematics' role in culture and civilization, develop thinking and reasoning skills, and prepare students for further education and careers that involve mathematics.
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This presentation includes introduction history and braches of mathematics.
International Day of Mathematics is annually celebrated on March 14. The day was recognised by the United Nations Educational, Scientific and Cultural Organization (UNESCO) during its general conference in 2019.
Before this, the day was marked as Pi Day. The day was first celebrated in 1988 after Physicist Larry Shaw. The day is written in the MM.DD format so that it represents the value of Pi that is 3.14.
Moreover, mathematician and physicist, Albert Einstein was also born on this date.
Mathematics may be defined as “the study of relationships among quantities, magnitudes and properties, and also of the logical operations by which unknown quantities, magnitudes, and properties may be deduced”
Arithmetic: It is the oldest and the most elementary among other branches of mathematics. It deals with numbers and the basic operations- addition, subtraction, multiplication, and division, between them.
Algebra: It is a kind of arithmetic where we use unknown quantities along with numbers. These unknown quantities are represented by letters of the English alphabet such as X, Y, A, B, etc. or symbols. The use of letters helps us to generalize the formulas and rules and also helps you find the unknown missing values in the algebraic expressions and equations.
Geometry: It is the most practical branch of mathematics that deals with shapes and sizes of figures and their properties. The basic elements of geometry are points, lines, angles, surfaces and solids.
Trigonometry: Derived from two Greek terms, i.e., trigon (means a triangle) and metron (means measurement), it is the study of relationships between angles and sides of triangles.
WORLD OF MATHEMATICS.pptx
International Day of Mathematics is annually celebrated on March 14. The day was recognised by the United Nations Educational, Scientific and Cultural Organization (UNESCO) during its general conference in 2019.
Before this, the day was marked as Pi Day. The day was first celebrated in 1988 after Physicist Larry Shaw. The day is written in the MM.DD format so that it represents the value of Pi that is 3.14.
Moreover, mathematician and physicist, Albert Einstein was also born on this date.
Mathematics may be defined as “the study of relationships among quantities, magnitudes and properties, and also of the logical operations by which unknown quantities, magnitudes, and properties may be deduced”
Arithmetic: It is the oldest and the most elementary among other branches of mathematics. It deals with numbers and the basic operations- addition, subtraction, multiplication, and division, between them.
Arithmetic: It is the oldest and the most elementary among other branches of mathematics. It deals with numbers and the basic operations- addition, subtraction, multiplication, and division, between them.
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Ged-102-Mathematics-in-the-Modern-World-Module-pdf - Copy.docx
This document provides an overview of a course on mathematics in the modern world. The 3-unit course aims to help students appreciate mathematics beyond formulas by exploring its practical, intellectual and aesthetic dimensions. It covers topics like data management, geometric designs, coding, finance and more. Students will discuss the nature of mathematics and use reasoning to analyze concepts. The goal is for students to see how math is used in everyday life and affirm its honest applications. The course introduces mathematics as a way to explore natural patterns and uses logic and reasoning. Later lessons survey how math is used as a tool in various modern contexts like personal finance and social choices.
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1 Teaching mathematics-introduction (meaning, nature & values)
1. Mathematics is defined as both the science of numbers and space, as well as the science of measurement, quantity and magnitude.
2. Mathematics has various values including utilitarian, cultural, social, recreational, disciplinary, intellectual, aesthetic, vocational, and moral values.
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This presentation includes introduction history and braches of mathematics.
International Day of Mathematics is annually celebrated on March 14. The day was recognised by the United Nations Educational, Scientific and Cultural Organization (UNESCO) during its general conference in 2019.
Before this, the day was marked as Pi Day. The day was first celebrated in 1988 after Physicist Larry Shaw. The day is written in the MM.DD format so that it represents the value of Pi that is 3.14.
Moreover, mathematician and physicist, Albert Einstein was also born on this date.
Mathematics may be defined as “the study of relationships among quantities, magnitudes and properties, and also of the logical operations by which unknown quantities, magnitudes, and properties may be deduced”
Arithmetic: It is the oldest and the most elementary among other branches of mathematics. It deals with numbers and the basic operations- addition, subtraction, multiplication, and division, between them.
Algebra: It is a kind of arithmetic where we use unknown quantities along with numbers. These unknown quantities are represented by letters of the English alphabet such as X, Y, A, B, etc. or symbols. The use of letters helps us to generalize the formulas and rules and also helps you find the unknown missing values in the algebraic expressions and equations.
Geometry: It is the most practical branch of mathematics that deals with shapes and sizes of figures and their properties. The basic elements of geometry are points, lines, angles, surfaces and solids.
Trigonometry: Derived from two Greek terms, i.e., trigon (means a triangle) and metron (means measurement), it is the study of relationships between angles and sides of triangles.
WORLD OF MATHEMATICS.pptx
International Day of Mathematics is annually celebrated on March 14. The day was recognised by the United Nations Educational, Scientific and Cultural Organization (UNESCO) during its general conference in 2019.
Before this, the day was marked as Pi Day. The day was first celebrated in 1988 after Physicist Larry Shaw. The day is written in the MM.DD format so that it represents the value of Pi that is 3.14.
Moreover, mathematician and physicist, Albert Einstein was also born on this date.
Mathematics may be defined as “the study of relationships among quantities, magnitudes and properties, and also of the logical operations by which unknown quantities, magnitudes, and properties may be deduced”
Arithmetic: It is the oldest and the most elementary among other branches of mathematics. It deals with numbers and the basic operations- addition, subtraction, multiplication, and division, between them.
Arithmetic: It is the oldest and the most elementary among other branches of mathematics. It deals with numbers and the basic operations- addition, subtraction, multiplication, and division, between them.
Trigonometry: Derived from two Greek terms, i.e., trigon (means a triangle) and metron (means measurement), it is the study of relationships between angles and sides of triangles.
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Mathematics is defined as both the science of numbers and space, as well as the science of measurement, quantity and magnitude. It has its own language using signs, symbols and operations, and helps draw conclusions and interpret ideas and themes in a logical sequence. Mathematics has several values in its teaching. It has utilitarian value as its fundamental processes are used in daily life. It has cultural value as understanding mathematics is key to understanding civilization. It also has social value by enabling understanding of group and social interactions. Mathematics provides disciplinary and intellectual value by training the mind in logical reasoning and thinking.
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The document discusses the origins and nature of mathematics. It defines mathematics as the science of quantity, measurement and special relations. The history of mathematics is described as investigating original discoveries and methods from the past. Early contributions came from places like China in the form of their place value system. The nature of mathematics includes it being a science of discovery, an intellectual puzzle, a tool, intuitive, with its own language/symbols, abstract, logical, and dealing with drawing conclusions. The needs, significance and values of teaching mathematics are provided. Key areas of mathematics topics and contributions of great mathematicians like Euclid, Pythagoras, Aryabhatta, Bhaskaracharya, and Ramanujan are summarized
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This PPT prepared by Teacher Educator from Thiagarajar College of Preceptors Madurai for B.Ed Trainees.
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The document discusses the nature and history of mathematics. It defines mathematics as the science of quantity, measurement and special relations. It notes that the origins of mathematical thought lie in concepts of number and magnitude. The history of mathematics is primarily an investigation into the origin of mathematical discoveries and methods of the past. Some key contributors discussed include Euclid, Pythagoras, Aryabhata, Bhaskaracharya, and Srinivasa Ramanujan. The document also outlines several areas of mathematics and how math is applied in daily life situations like cooking, banking, shopping, and more.
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This PPT prepared by Teacher Educator from Thiagarajar College of Preceptors Madurai for B.Ed Trainees.
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The history of computers began around 2000 years ago with the invention of the abacus in ancient Babylonia. In 1642, Blaise Pascal created one of the first digital computers. Herman Hollerith developed punched cards in the 1890s that could automatically read and store information without human assistance, laying the foundation for modern data processing. In 1942, the ENIAC was created at the University of Pennsylvania, occupying 1800 square feet and using 18,000 vacuum tubes. It was about 1000 times faster than previous computers. Through the 1950s-1980s, technologies like magnetic core memory, transistors, semiconductors, microprocessors advanced computing power and allowed for personal computers.
Input devices.pptx
Input devices allow users to enter data and instructions into a computer. Common input devices include keyboards, mice, scanners, microphones, and light pens. Keyboards are the most common input device and are used to type data and instructions into memory. Mice are pointing devices that control cursor movement on screen when rolled over a mousepad. Scanners convert printed text and images into digital format. Microphones convert spoken words into electric signals for voice recognition. Light pens are used to draw directly on the computer screen.
Output devices and types of printers.pptx
Monitors and printers are two common output devices that receive data from computers. Monitors display information visually while printers provide a hard copy output. There are different types of monitors including CRT and LCD, and different types of printers such as inkjet printers, laser printers, and dot matrix printers. Each printer type uses a distinct printing method such as spraying ink, using a laser beam, or striking pins to produce characters on paper.
Qualities and professional comepetencies of computer science teacher.pdf
A computer science teacher requires strong academic and professional qualifications. Academically, they need at least a master's degree in computer science or related field along with teaching certification. Professionally, relevant work experience and continual professional development are important for staying current in the field. Qualitatively, a good computer science teacher has a passion for the subject, seeks to continually improve their knowledge, introduces topics simply while challenging students, and motivates students to learn and achieve. They also understand how to effectively manage and teach a classroom of students engaged in different computer science activities.
Role of administration in inclusive school.pptx
The school administration plays a key leadership role in ensuring the successful implementation of inclusive education. Some of the main responsibilities of the administration include: (1) Ensuring accessibility by providing infrastructure like ramps and accessible classrooms, toilets, etc. (2) Working to build positive attitudes towards disability among students and teachers. (3) Organizing appropriate human resources like qualified teachers and special educators. (4) Arranging appropriate teaching materials and resources. (5) Supervising and supporting teachers. (6) Monitoring student evaluation and providing remedial instruction.
Co curricular activity.pptx
Co-curricular activities are organized in addition to academic work and are now considered an important part of the school curriculum. They contribute to the all-round development of students by developing qualities like leadership, cooperation and discipline. There are many types of co-curricular activities including physical activities like sports, academic activities like science clubs, literary activities like debate, cultural activities like music and dance, social activities like NSS and moral activities like celebrating important days. Co-curricular activities help bridge the gap between theory and practice and motivate students while teaching them how to learn by doing.
SWOC analysis.docx
A SWOC analysis is a strategic planning tool that can be used during curriculum assessment to identify strengths, weaknesses, opportunities, and challenges (SWOC). It provides a framework for collaborative discussion to assess existing degree programs. The objective is to develop areas of focus for improving the curriculum. A SWOC analysis considers internal factors like strengths and weaknesses that are somewhat controllable, and external factors like opportunities and challenges that are less controllable. It can be used for self-assessment, educational, or career planning.
Unit analsysis.pptx
This document outlines the topics and objectives for two lessons on basic computer components and word processing. Lesson 1 covers the basic components of computers, including the history of computers, hardware, software, memory, and printers. The objectives include defining terms, listing components, and demonstrating basic computer functions. Lesson 2 introduces word processing, covering topics like formatting text, using headers and footers, mail merge, and hyperlinks. The objectives involve applying word processing skills like changing fonts and creating a basic document.
Triangles and Quadrilaterals.pptx
The document discusses triangles and quadrilaterals. It defines triangles as plane figures with three sides and angles, and lists different types of triangles including isosceles, scalene, equilateral, and right triangles. Properties of triangles like angle sums and relationships between sides and angles are presented. Quadrilaterals are defined as figures with four sides, and types such as parallelograms, rectangles, squares, rhombi, trapezoids, and kites are described based on their defining geometric properties. Teaching methods like examples, diagrams, and definitions are provided to explain the key concepts.
Surface Area of a Right Circular Cylinder.pptx
1) A right circular cylinder is formed by stacking circular sheets vertically with the base being circular.
2) To find the surface area, a rectangular sheet is wrapped around the cylinder with length equal to the circumference and breadth equal to the height.
3) The curved surface area of a cylinder is 2πrh, where r is the radius of the base and h is the height. The total surface area, including the top and bottom circles, is 2πr(r + h).
Software and its types.pptx
System software includes operating systems, language processors, and device drivers. It manages computer hardware resources and provides basic functionality for users and other software. Application software helps users complete tasks like doing online research, designing graphics, and playing games. There are general purpose applications, customized applications for specific industries, and utility applications for system maintenance tasks. Computer software consists of programs and libraries that enable hardware to perform tasks through a set of instructions.
Computer Network.pptx
A computer network consists of servers that store and share data, clients that can access data from other computers, and transmission media like wires or cables that connect all the devices. Special network interface cards are used to format and transmit data between computers on the network. A hub broadcasts all incoming data requests to the entire network while a switch uses addressing to send requests directly to the intended server. Routers connect multiple computer networks together, allowing communication between different local area networks.
Computer Memory.pptx
Computer memory comes in three main types: cache memory, primary/main memory, and secondary memory. Cache memory is the fastest type and acts as a buffer between the CPU and main memory to store frequently used data and instructions. Main memory is volatile and holds the data and instructions currently being processed, while secondary memory is non-volatile storage like hard disks used to permanently store data. The different memory types vary in speed, capacity, volatility, and purpose in a computer system.
Role of Social media in Education.pptx
Role of social media in current education.
what is social media?
how is it helpful in our education system?
Basics of HTML..pptx
learn basics of html. history of html and structure of html through an example in the simplest form possible.
CONTEMPORARY INDIAN SCHOOLS.pptx
CONTEMPORARY INDIAN SCHOOLS
Types of schools
Types of Indian schools and their functions.
Few problems regarding Indian schools.
Sarva shiksha abhiyan
Sarva Shikhsa abhiyan
* About
* Features
* Objectives of SSA
* History and funds
* Padhe bharat badhe bharat
* RTE
* SSA in Chandigarh
* Schooling facility in Chandigarh
* Intervention for out of school children
* Mid-day meal
* Quality improvement programme
* Inclusive education
* Success stories of SSA
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