MATHGUIDE FOR ALL YOUR MATHEMATICS NEEDS

http://www.mathguide.org/about-us.html          EVERY EFFORT IS MADE TO CONNECT WITH TEACHERS AND STUDENTS THROUGH SOCIAL MEDIA.     The facebook page specially designed for dissemination of mathematics knowledge is provided. Friends and others could connect through facebook for daily sharing of information and knowledge.    Twitter page dedicated to mathematics contain the comments and links provided by worthy mathematics teachers across the world. The teachers share their class experiences, methods used, tests, new experiments, links, problems, brain teasers, puzzles etc. Some of the Twitter friends are @GraphicMaths, @FunMathExpress, @MathsfrmScratch, @LetsTute, @mathsgrinds, @Getatutor1, @OnCourseK12, @CamiEducation, @Corbettmaths, @TeachFMaths.     Our blog mathguideamit.blogspot.in has diverse content from the world of mathematics for both teachers and students as well as mathematics enthusiasts. The b...

http://www.mathguide.org/e-book.html                                                                 MATHGUIDE E-BOOK        Mathematics seems to be a difficult subject due to the lack of knowledge of basic facts of mathematics. Students lack the basic knowledge and are terrified by mathematics. This simple e-book 'Mathguide' covers some of the most basic facts about various topics of mathematics. Going through the book once, will be a confidence booster for the students. If parents are finding it difficult to help their kids in mathematics, then the book will help them revisit the basic mathematical know-how. The teachers can revise their learning from time to time by finding all the facts in such a compact form.       The topics covered are Number System, R...

http://www.mathguide.org/math-resources.html                                                     MATHEMATICS RESOURCES 1.    SageMath is a free open-source mathematics software system licensed under the GPL. It builds on top of many existing open-source packages: NumPy, SciPy, matplotlib, Sympy, Maxima, GAP, FLINT, R and many more. Access their combined power through a common, Python-based language or directly via interfaces or wrappers. ​2.    TED-Ed is TED’s youth and education initiative. TED-Ed’s mission is to spark and celebrate the ideas of teachers and students around the world. Everything we do supports learning — from producing a growing library oforiginal animated videos , to providing an international platform for teachers to create their own interactive lessons, to helping curious students around the ...

http://www.mathguide.org/educational-videos.html                                                               MATHEMATICS VIDEOS    Mathguide provide students opportunity of viewing some of the best videos on Mathematics available on youtube. Mathguide will try to find such educational videos from classes and private tutors across the world and provide it to the students. An effort is made for mathematics loving students across the globe. Now students don't have to waste time searching videos and losing their precious study hours.    Videos are a good source of 'Edutainment' - Entertainment and Education together. Students get a different perspective and find how other teachers across the world are teaching and could make suggestions in their classes. Videos help students understand the concepts easi...

http://www.mathguide.org/quick-learn.html                                                        ​​​ QUICK LEARN MATHEMATICS Quick Learn will help the students to learn basic concepts, formulae and tricks of mathematics in one go. Some very important topics are covered like volume of cube, tests of divisibility, sets, real number line, surds, sets, logarithms, triangles etc. During class tests, the students could go through the concepts and revise. The students will have the ease of quick content. It is like a flash card or a one page solution. Instead of details, effort is made to provide maximum content in a small space. These quick learn pages are summarized contents from my e-book MATHGUIDE available on amazon kindle store. More such quick learn pages will be added soon. Keep collecting these quicklearn pages on your tablets and smar...

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www.mathguide.org MATHGUIDE     At Mathematics Guide, we approach each child as an individual. Mathematics understanding is foremost. Logical-Psychological approach is followed. Easy to Difficult, Concrete to Abstract and Learning by Doing Maxims of mathematics learning are followed. MATHEMATICS     Mathematics help students watch, move, touch and manipulate objects in order to understand their shape and structure. Mathematical representations fill the gap between concrete and abstract by drawing pictures, graphs and tables. Use of numbers and symbols with deep understanding of underlying ideas.  WHY CHOOSE MATHEMATICS GUIDE 1.       CHILD-FIR​ST 2.       LOGICAL AND PSYCHOLOGICAL 3.       FULL RANGE OF TIPS AND COURSES 4.       WORKSHEETS  AND TIMELY TESTING Child-First – Math Guide lays emphasis on ch...

www.mathguide.org MATHGUIDE E-BOOK www.mathguide.org Chapters NUMBER SYSTEMS 1.           NATURAL NUMBERS 2.           WHOLE NUMBERS 3.           INTEGERS 4.           RATIONAL NUMBERS 5.           IRRATIONAL NUMBERS     1. NATURAL NUMBERS (OR COUNTING NUMBERS)           {1,2,3,4…}        E.G.        A.  NUMBERS OF DAYS IN A WEEK.        B.  NUMBER OF PAGES IN A BOOK.        C.   NUMBER OF SCHOOLS IN A CITY.     2. WHOLE NUMBERS          {0,1,2,3, 4…}...

QUICK LEARN MATHEMATICS

STAGES OF COGNITIVE DEVELOPMENT Piaget identified four stages of cognitive development 1. Sensori-motor stage - Children  learn through their five senses, goal-directed actions and object-permanence. They experience ego-centricism and fail to understand others' point of view. 2. Pre-operational stage - This stage covers 2-7 years of age. Children are able to do one step logical problems, develop language but still continues to be ego-centric 3. Concrete stage - This stage occurs during 7-11 years of age and develops logical thinking and concrete ideas in the children but they still struggle with abstract ideas. 4. Formal operational stage - This stage spans from age 12 to adulthood. Children think about abstract concepts. Thinking, reasoning, planning, problem solving abilities are developed.     Educational Implications of Piaget's Cognitive Development Theory 1. Teacher must consider maturation level of the students in order to know what and how to teach. 2. Adequate am...

IMPORTANT QUESTIONS RAISED  1. How people learn in social context? 2. How as teachers we have to create active learning communities? ASSUMPTIONS 1. We learn through our interaction and communication 2. Social environment influence learning 3. Teacher should create a learning environment to maximize learner's ability to interact with each other through discussion, collaboration and feedback 4. Culture is primary factor for knowledge construction SOCIAL LEARNING METHODS 1. Collaborative learning 2. Group work 3. Discussion based learning 4. Challenging tasks for students 5. Conduct small research and share results USE OF VYGOTSKY THEORY IN EDUCATION 1. Central to the theory is ZPD (Zone of Proximal Development) which uses social interaction with more knowledgeable others to move development forward. 2. Teacher (more knowledgeable) should provide assistance to the student, engage him in activity and use explaining, modelling and guided practice in the classroom. 3. Theory uses scaffol...

Highlights of the theory 1. Leaning is an active process in which learners constructs new ideas or concepts based on present or past knowledge. 2. Learner selects information, construct hypotheses and make decisions, relying on cognitive structures (mental model) to do so. 3. Cognitive structures provide meaning and organisation to experiences. 4. Teacher and students should try to engage in active dialogue and try to discover principles. Major aspects of theory According to Bruner instruction should address four major aspects 1.  Pre-disposition  towards learning - curiosity, willingness, exploration 2.  Structured knowledge  - structured for easy understanding. 3.  Sequence  - in which material should be presented -  sequencing should move from enactive (first-hand, concrete), to iconic (visual, representative ), to symbolic (descriptions in words or mathematical symbols).   4. Nature of reward and punishment ( reinforcement /motivation ) P...

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REFERENCE : CBSE 11 GRADE BOOK

REQUIRED MATERIAL CARDBOARD SCISSORS PHYSICAL BALANCE / DIGITAL SPRING BALANCE PROCEDURE Cut the cardboard into triangular shape. Measure the weight of this triangular cardboard with the help of spring balance. Note down the weight on a notebook. Now measure a piece 1 cm x 1 cm from somewhere within the triangular cardboard and cut it. Measure the weight of this piece with the spring balance and note it on the notebook. Then comes the calculation part. Suppose Weight of triangular lamina = x gm Weight of 1 square cm of lamina = y gm Now Using Unitary Method y gm is the weight of 1 square cm of lamina 1 gm is the weight of 1/y square cm of lamina x gm is the weight of x/y square cm of lamina. Therefore Area of Triangular Lamina = Weight of whole lamina / Weight of 1 square cm of lamina. Verify by finding area of triangle by Heron's formula. Use this activity method to find areas of different plane figures and verify by using universal formulae.     

www.mathguide.org/e-book https://www.amazon.com/dp/B01HPVX3X2 MATHGUIDE E-BOOK

  TRIANGLE AND ITS PROPERTIES Let A, B, C be three distinct non-collinear points. The figure formed by three line segments AB, BC, CA by joining these non-collinear points A, B, C in pairs, is called Triangle. PROPERTIES OF TRIANGLE                                                                               1.    Sum of angles of a triangle is 180 °. This property is called angle-sum property of triangle.     2.    In a triangle the exterior angle is equal to the sum of opposite interior angles. Therefore, exterior angle is always greater than each interior angle.     3.    The sum of any two sides of the triangle is always greater than the third side. www.mathguide.org/e-book.html https://www.amazon.com/dp/B01HPVX3X2 https://plus.google...

INSTRUCTIONAL AND BEHAVIOURAL OBJECTIVES   Instructional Objectives  1. These are the statements of measurable learning that is intended to take place as a result of instruction. 2. These are set according to the level of students in a particular class. 3. These are classroom objectives unique to each course or subject. 4. These are derived from the terminal behaviour which the students are expected to display as a consequence receiving instruction. Behavioural Objectives 1. These are the objectives in terms of behaviour of the students. 2. These are description of observable student behaviour related to learning. 3. Behavioural objectives should identify the following    (i) Learner - for whom the objectives are written.     (ii) Behaviour - targeted for change.    (iii) Conditions - under which the behaviour will be performed.    (iv) Criteria - for the acceptable performance of behaviour to occur.   EXAMPLE TOPIC -...