Mathematics skill development programme

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  • 1. Concept Note:Mathematics SkillDevelopmentProgramme Siddharth Misra This program helps children lose the fear of Mathematics (by introducing them the concept of “Joyful Mathematics”) and let them gain confidence in the subject. Saumitra Lucknow 9838073306 5/2/2010
  • 2. Concept Note: Mathematics Skill Development ProgrammeContentsMathematics Skill Development Programme ............................................................................................... 3 What is MatheMatics? .............................................................................................................................. 3 Importance of Mathematics: .................................................................................................................... 3 Problem of teaching mathematics at school level .................................................................................... 3 What is Mathematics Skill Development programme? ............................................................................ 4 Programme content .................................................................................................................................. 5 Topics ........................................................................................................................................................ 5 ALGEBRA ............................................................................................................................................... 5 GEOMETRY ............................................................................................................................................ 5 MEASUREMENT .................................................................................................................................... 5 NUMBER SYSTEM AND ARITHMETIC .................................................................................................... 5 PROBABILITY AND STATISTICS .............................................................................................................. 6 MATHEMATICAL REASONING ............................................................................................................... 6 Methodology ............................................................................................................................................. 6MSD by Siddharth Misra Page 2
  • 3. Concept Note: Mathematics Skill Development ProgrammeMathematics Skill Development ProgrammeWhat is MatheMatics?Mathematics is the science of problem-solving, reasoning rather than mugging up the formulae asunderstood by the students at present. It’s about Questioning Investigating ExploringThus it is foundation of the ability to reason.Importance of Mathematics:Today, a wide variety of disciplines require their students to have knowledge of certain mathematicaltools. Students of not only finance and marketing but also of biological science find that a firmunderstanding of basic ideas in algebra and calculus is very essential for deriving the ground breakingresults in these fields.Furthermore employers of major Information Technology companies use standard mathematics tests asa screen for recruiting undergraduates and graduates regardless of their degree discipline.Problem of teaching mathematics at school levelStudies conducted at the schools have revealed that there has been certain gap between schooltextbook content and the actual learning that happens in the classroom. Further, a lot of teachers aswell as the parents have said that most of the children have found mathematics as one of the mostfeared subjects to learn (and excel). Children on their parts complain that mathematics is boring and tootough to understand. Not only that many of them just get scared by the name of this subject.Now, we must agree to the fact that the goal of education should be to help students in learning the artof ‘How-to-think-more-creatively’ by combining their creative thinking (to generate ideas) and criticalthinking (to evaluate ideas). Since, both modes of thinking are essential for a well-rounded productivemind; our programme is all about on this concept only.MSD by Siddharth Misra Page 3
  • 4. Concept Note: Mathematics Skill Development ProgrammeWhat is Mathematics Skill Development programme?MSD Program is aimed at developing the mental mathematics skill of children aged 12 years and above.This program helps children lose the fear of Mathematics (by introducing them the concept of “JoyfulMathematics”) and let them gain confidence in the subject. The focus is on teaching mathematicaltopics through real-life problem-solving techniques which are characterised by helping them constructsa much deeper understanding of mathematical operations and processes by engaging them in doingmathematics: exploring some new ways developin testing g those curiosity ways verifying the success of such waysThis unique programme helps them in their (otherwise tough) academics and encourages thedevelopment of their logical capabilities. Thus, it also builds the child’s personality, enhances their IQ,(Intelligence Quotient) and CQ (Creative Quotient), and makes the child more process oriented ratherthan bookish formulae oriented. more IQ CQ process orientedIt clearly targets to change the thought process behind problem solving which is formerly based only ona cheat sheet of formulae rather than understanding of the concepts involved.Class 6 and beyondAge: 12 yrs. and above.MSD by Siddharth Misra Page 4
  • 5. Concept Note: Mathematics Skill Development ProgrammeProgramme contentProblem-solving—the principal reason for studying mathematics: posing questions, analyzing,translating and illustrating results, drawing diagrams, using trial and error, applying rules of logic,recognizing relevant facts, subjecting conclusions to scrutiny.Applying Math to Everyday Situations (real-life puzzles)—interrelated with all computation activities:use everyday situations, translate them into math expressions, solve, interpret results in light of initialsituation, for example: Two-player Strategy GamesEstimation and Approximation(Vedic Math)—techniques for estimating quantity, length, distance,weight, etc.; know when result is precise enough for purpose at hand.Reading, Interpreting, and Constructing Tables, Charts, and Graphs—condense numerical informationinto manageable/meaningful terms and use conclusions with simple tables, maps, charts, graphs.Using Mathematics to Predict (probability)—elementary notions of probability to determine likelihoodof future events; identify immediate past experience that does not affect the likelihood of future events;use math to help make predictions.Topics Pythagorean TheoremALGEBRA Geometric concepts, triangle inequality theorem Relationship between data Prime and composite numbers MEASUREMENT Linear functions Solving one-step equations Unit conversions Patterns and relationships Measurement - problems Terms in an arithmetic sequence Temperature, elapsed time - problems Variables, expressions, equations, Direct/indirect, standard/non-standard inequalities units Operations involving monomials and Estimates of measurements polynomials Proportions to convert to equivalent Problems involving quadratic equations measurementsGEOMETRY NUMBER SYSTEM AND ARITHMETIC Simple geometric constructions Whole numbers - place value Parallelism, perpendicularity, Decimals - place value congruence Representation on a number line Points on a coordinate grid Equivalent/improper fractions; mixed Perimeter using grids numbers Sketching transformations Compare and simplify fractions Sketching transformations of congruent Decimals, percents and fractions figures Powers, repeated multiplication Problems on sum of angles LCM, GCF, ratios Modeling 2-d and 3-d objects Order of operations Polygons, triangles, quadrilaterals Multiplication/division - inverse Lines of symmetry relationshipMSD by Siddharth Misra Page 5
  • 6. Concept Note: Mathematics Skill Development Programme Primes, factors, multiples, number MATHEMATICAL REASONING sequences Percents Mathematics in daily life Ratio Steps in problem solving Average Problem solving strategies Tools to solve problemsPROBABILITY AND STATISTICS Tools to record observations Informal and mathematical language Possible outcomes, making predictions Make generalizations Mean, median, mode, range Justify solutions Collect/organize/graph data Comparison of data setsMethodologyEach topic will have one booklet with lots of example of problem solving strategies. Each topic’squestions are broken down into four levels: easy, somewhat challenging, challenging, and verychallenging.Also an interactive version of these booklets will be available on the CDROM.MSD by Siddharth Misra Page 6