9 February 2013

IF YOU THINK WAEC MATHS IS HELL,HERE ARE 84 STEPS TO MATHS HEAVEN (3)


[caption id="attachment_4276" align="alignleft" width="300"]IF YOU THINK WAEC MATHS IS HELL,HERE ARE 84 STEPS TO MATHS HEAVEN (3) maths logo[/caption]

CONCEPTS AND PRINCIPLES OF WAEC MATHS FOR EXAM SUCCESS


WAEC HAS ADVISED THAT UNDERSTANDING OF CONCEPTS IS  KEY TO OPENING MATHS DOORS

40.WAEC examiners year in, year out point out that understanding basic concepts and principles is crucial for unlocking the doors and windows of maths.

41.This is because concepts and principles constitute the vocabulary of maths. In English language, if we do not understand certain words we look for their meaning in dictionaries. This is applicable to maths too. At every stage from JSS 1 to SS 3, maths text books contain specific words which belong to the subject. Sometimes they are difficult to understand or define.

42.Almost  400  concepts and principles are to be found below

43.Concepts and principles have to be translated into mathematical questions or expressions or into diagrams and vice versa before maths can be made simple. But tutors will be useful for giving meanings which are down-to-earth, simple-to-understand and in many practical ways using real-life illustrations as examples.

44.Mathematical concepts actually explain what maths is about. Even the ape men understood them according to the needs of their period. But as their activities widened and they became more sophisticated, their maths concepts widened in scope too.. As long as we count, measure, estimate, calculate or describe shapes, objects etc, then we are performing maths operations. We therefore actually think maths, speak maths, and live maths without realizing it. The job of a school and its tutors should be to spend a great deal of time explaining  these concepts to  students.

45. Under step10, we mentioned that maths is a language. You may also be surprised to know that the roots and development of maths can be traced to music, fine-arts, games, poetry, astronomy, architecture, sculpting and later to engineering. All these art forms can be used to teach the concepts of maths. For examples, students can be given maths essays: students can also be asked to ACT a topic by being called to the board to summarize the way the topic has been taught or to demonstrate class understanding of the topic. Definitely, a student should be asked to express some understanding of “negative number” and inequalities” orally to his or her classmates! Students should also be given THINK ALOUD PROBLEM SOLVING (TAPS) concepts, and many word problems and logic, which will make them to reason. Students should be asked to state verbally how they will still solve a problem instead of writing the answer on  the board. Games such as CONCEPT BINGO ( to be explained by EDUPEDIA if you ask us through an e-mail) can also be used to make maths student-friendly. As mentioned earlier we also have what is known as SPEED (MENTAL) MATHS, KITCHEN MATHS, RECREATIONAL MATHS, MONEY MATHS AND LOGICAL PUZZLES which can be used to teach these concepts. Teachers should learn to teach “maths for humans” rather than for aliens as most of them presently do. But does the understanding of concepts alone bring the matter to a conclusion? No.
HOW MANY OF THESE CONCEPTS DO YOU REALLY UNDERSTAND MATHEMATICALLY?

(S) MEANS CONCEPT IS MEANT FOR SENIOR SCHOOL ONLY

















































































































































































































































































ACUTE ANGLEBREADTHCOMPLETING THE SQUARE(S)DEVIATION
ACUTE BISECTORBREAK – EVEN POINT (S)COMPONENTDIAGONAL
A.C.FBROKERCOMPOUND/SIMPLE INTERESTDISJOINT SET
ALMIGHTY FORMULABUTUTCONCAVEDISTRIBUTION
ALTITUDECALENDAR YEARCONCENTRICDIVERGENCE
ANGLE OF DEPRESSIONCAPITALCONCENTRIC ARCSDIVISOR
ANGLE OF ELEVATIONCARDINAL NUMBERCONCURRENCE (S)DOMAIN (S)
ANGULAR DISTANCE (S)CARDINAL NUMBERCONEDUMMY
ANGLE OF INCIDENCECEDI/PASEWACONFIGURATIONDUODECIMAL
ANGLE OF INCLINATION (S)CENTRAL TENDENCYCONGRUENT (S)EAST(E)
ANNUAL (S)CENTRE OF GRAVITYCONSECUTIVEECHELON
ANNULUSCENTRIFUGALCONSTANTEDGE
ANNUITYCENTRIPETALCONSTRUCTEIGEN VALUE (S)
ANTI – CLOCKWISECENTROIDCONSTANT TERMELASTICITY
ANTI-LOGARITHMCENTRE OF PARALLELCONTINUUMELIMINATE
APEXCHANGECONTOUR LINE/MAPELLIPSE(S)
APPROXIMATIONCHARGEABLE INCOMECONSTRUCTIONELLIPSOID
ARCCHARTCONVERGENCEEMPIRICAL
AREA/VOLUMECHANGE OF SUBJECTCONVERSEEMPTY SET
ARITHMETIC SEQUENCECHORDCONVERSIONENDOWMENT POLICY (S)
ARITHMETIC PROGRESSION (S)CIRCLECONVEXENLARGEMENT
ARRAYCLOSE SOLIDCOORDINATEENUMERATE
ASCENDING ORDERCIRCULAR MOTIONCORRECT TOENUMERATOR
EXTERIOR/INTERIOR  ANGLEINCLINEDHEPTAHEDRON (S)IRREGULAR FIGURE
EXTERIOR ANGLEINCLUSIVEHEXAGONISOGONAL
EXTRAPOLATION (S)INCOMEHEXAHEDRON (S)ISOMETRICAL
FACE OF A SOLIDINCOME TAXHISTOGRAMISOSCELES
FACTORINCOMPATIBLEHISTOGRAMINTEGRATE(S)
FACTORISATIONINCREMENTHOLLOW SPHEREINTERDEPENDENT
FINITE SETINCOSAHEDRON(S)HORIZONTALINTEREST
FRUSTUM(S)% INCREASEHYPERBOLA (S)INTER-QUARTILE(S)
GEOMETRICAL MEAN (S)IN DESCENDING POWERHYPOTENUSEINTERSECTION
GOLDEN MEAN (S)INDEMNITYHYPOTHETICALINVERSE
GRAPHICALINDETERMINATEIDEAL POINTINVERT
GRAVITATIONALINDEPENDENTIF AND ONLY IF (S)INVERSE RATIO
GRIDINDICES(S)IMAGEINVERSE OPERATION
GROSSINELASTICIMAGINARY POINTKILOGRAM
HECTAREINEQUALITIESIMAGINARY QUANTITIESKILOMETER
HECTOMETREINFERENCEIMPROPER FRACTIONKILOWATT
HECTOGRAMINFINITEIN ASCENDING POWERKINETICS (S)
HELIX(S)INITIALIN CENTER
HEMISPHERE(S)INSTALLMENTINCLINATION
HEMISPHERAL TANKINTEGERSIRRATIONAL
HEPTAGONINTERCEPT (S)IRRATIONAL NUMBER



































































































































































































































































































































KITEMIXED NUMBERS/FRACTIONSORDERED PAIRPROFITSECANT VALUEVENN DIAGRAM (S)
KNOT (SPEED)MODEORIENTPROPORTIONALSEGMENT (S)VERIFY
LAMINAMODULUSORTHOGONALPOPULATIONSELLING PRICEVERTEX
LATITUDE (S)MOMENTUMOSCILATEPOLYNOMIAL EQUATIONS (S)SEMI CIRCLEVERTICAL
LATERALMONOTONEOUTCOMEPROJECTIONSEQUENTIALVERTICAL ANGLES
L.C.MMONOMIALOUTCOME TABLEPYRAMIDSET NOTATION (S)VOLUME
LEAP YEARMULTIPLICAND (S)OUTLINEPYTHAGORAS THEOREMSIGNIFICANT FIGUREVULGAR FRACTION (S)
LENGTH OF CHAINMUTUALLY EXCLUSIVE (S)OUTPUTQUADRATIC EQUATIONSIMILARWEEKLY
LESS THANNANOOVALQUADRATIC FORMULASINEWHOLESALE
LEONENATURAL NUMBERSOVERDRAWNQUADRATIC MEAN (S)SKEWEDWORD PROBLEM
LINEARNAUTICAL MILEOVERHEADSQUADRANTSOUTH EAST(SE)YEAR
LOADNEGATIVE ANGLEOVERTIMERADIUSSOUTH WEST (SW)YEARLY
LOGARITHM (S)NONAGONPARABOLA(S)RADIANS (S)SPANYIELD
LONGITUDINALNORTH EAST (NE)PARALLELOGRAMRANGESPEEDZERO HOUR
LOOP (S)NORTH WEST (NW)PARAMETERRATIOSPHERE
LOCUS/LOCINOTATIONPARTIALRECIPROCALSPIRAL
LUNARNOT LESS THANPARALLELRECTANGLESQUARE ROOT
LUNAR DISTANCENOT MORE THANPASCAL’S TRIANGLEREFLECTIONSTANDARD DEVIATION (S)
LUNAR MONTHNTH TERMPATHREFLEX ANGLESTANDARD ERROR
LUNAR YEARNUCLEUSPENDULUMREGIONSTANDARD FORM
MAGNIFYNULLPENTAGONREMAINDERSTATIONARY
MAGNITUDENULL SETPERFECT NOSREMITTANCESTATISTICS (S)
MAGIC SQUARENUMERALPERRANUMRESIDUALSTOCK
MAGNETIC EQUATOR (S)NUMERATORPERCENTILE (S)RESULTANTTANGENT
MAJOR ARCNUMBER LINEPERPENDICULARRETAILTETRAHEDRON (S)
MAJOR AXISOBLIQUEPERIMETERREVERSETRAPEZIUM
MANTISSA (S)OBTUSEPERIODICREVOLUTIONTREE DIAGRAM
MAPPINGOBTUSE ANGLEPERFECT SQUARERHOMBUSTRIAL AND ERROR
MARGINAL DISTRIBUTIONOCTAHEDRONPERPENDICULAR HEIGHTRIGHT ANGLETRIANGLE
MARK-UP-PRICEODD NUMBERPIE CHARTRINGTRIGONOMETRICAL
MATURITYOGIVE (S)PIVOTROOTUNEQUAL
MAXIMUMONE TO MANYPICTOGRAMROOTS OF AN  EQUATION (S)UNIT
MAXIMAONE TO ONEPREMIUMRULEUNIVERSAL
MEANONE AND ONLY ONEPOLYGONSALES TAXUNIVERSAL SET
MEDIANOPEN SOLIDPOSITIVE NUMBERSAMPLEUNKNOWN/UNLIKE TERMS
MENSURATIONOPEN AT ONE ENDPRIME FACTORSAMPLINGVANISHING POINT (S)
MID POINTOPTIMUM (S)PRIME NUMBERSSCALAR PRODUCT (S)VARIABLE
MINIMUMORBITPRISMSCATTER DIAGRAMS (S)VARIANCE (S)
MINIMAORDERPROBABILITYSCOREVARIATION
MINUENDORDINATEPRODUCT OFSECTOR (S)VELOCITY

 
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