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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 ANGLE | BREADTH | COMPLETING THE SQUARE(S) | DEVIATION |
ACUTE BISECTOR | BREAK – EVEN POINT (S) | COMPONENT | DIAGONAL |
A.C.F | BROKER | COMPOUND/SIMPLE INTEREST | DISJOINT SET |
ALMIGHTY FORMULA | BUTUT | CONCAVE | DISTRIBUTION |
ALTITUDE | CALENDAR YEAR | CONCENTRIC | DIVERGENCE |
ANGLE OF DEPRESSION | CAPITAL | CONCENTRIC ARCS | DIVISOR |
ANGLE OF ELEVATION | CARDINAL NUMBER | CONCURRENCE (S) | DOMAIN (S) |
ANGULAR DISTANCE (S) | CARDINAL NUMBER | CONE | DUMMY |
ANGLE OF INCIDENCE | CEDI/PASEWA | CONFIGURATION | DUODECIMAL |
ANGLE OF INCLINATION (S) | CENTRAL TENDENCY | CONGRUENT (S) | EAST(E) |
ANNUAL (S) | CENTRE OF GRAVITY | CONSECUTIVE | ECHELON |
ANNULUS | CENTRIFUGAL | CONSTANT | EDGE |
ANNUITY | CENTRIPETAL | CONSTRUCT | EIGEN VALUE (S) |
ANTI – CLOCKWISE | CENTROID | CONSTANT TERM | ELASTICITY |
ANTI-LOGARITHM | CENTRE OF PARALLEL | CONTINUUM | ELIMINATE |
APEX | CHANGE | CONTOUR LINE/MAP | ELLIPSE(S) |
APPROXIMATION | CHARGEABLE INCOME | CONSTRUCTION | ELLIPSOID |
ARC | CHART | CONVERGENCE | EMPIRICAL |
AREA/VOLUME | CHANGE OF SUBJECT | CONVERSE | EMPTY SET |
ARITHMETIC SEQUENCE | CHORD | CONVERSION | ENDOWMENT POLICY (S) |
ARITHMETIC PROGRESSION (S) | CIRCLE | CONVEX | ENLARGEMENT |
ARRAY | CLOSE SOLID | COORDINATE | ENUMERATE |
ASCENDING ORDER | CIRCULAR MOTION | CORRECT TO | ENUMERATOR |
EXTERIOR/INTERIOR ANGLE | INCLINED | HEPTAHEDRON (S) | IRREGULAR FIGURE |
EXTERIOR ANGLE | INCLUSIVE | HEXAGON | ISOGONAL |
EXTRAPOLATION (S) | INCOME | HEXAHEDRON (S) | ISOMETRICAL |
FACE OF A SOLID | INCOME TAX | HISTOGRAM | ISOSCELES |
FACTOR | INCOMPATIBLE | HISTOGRAM | INTEGRATE(S) |
FACTORISATION | INCREMENT | HOLLOW SPHERE | INTERDEPENDENT |
FINITE SET | INCOSAHEDRON(S) | HORIZONTAL | INTEREST |
FRUSTUM(S) | % INCREASE | HYPERBOLA (S) | INTER-QUARTILE(S) |
GEOMETRICAL MEAN (S) | IN DESCENDING POWER | HYPOTENUSE | INTERSECTION |
GOLDEN MEAN (S) | INDEMNITY | HYPOTHETICAL | INVERSE |
GRAPHICAL | INDETERMINATE | IDEAL POINT | INVERT |
GRAVITATIONAL | INDEPENDENT | IF AND ONLY IF (S) | INVERSE RATIO |
GRID | INDICES(S) | IMAGE | INVERSE OPERATION |
GROSS | INELASTIC | IMAGINARY POINT | KILOGRAM |
HECTARE | INEQUALITIES | IMAGINARY QUANTITIES | KILOMETER |
HECTOMETRE | INFERENCE | IMPROPER FRACTION | KILOWATT |
HECTOGRAM | INFINITE | IN ASCENDING POWER | KINETICS (S) |
HELIX(S) | INITIAL | IN CENTER | |
HEMISPHERE(S) | INSTALLMENT | INCLINATION | |
HEMISPHERAL TANK | INTEGERS | IRRATIONAL | |
HEPTAGON | INTERCEPT (S) | IRRATIONAL NUMBER |
KITE | MIXED NUMBERS/FRACTIONS | ORDERED PAIR | PROFIT | SECANT VALUE | VENN DIAGRAM (S) |
KNOT (SPEED) | MODE | ORIENT | PROPORTIONAL | SEGMENT (S) | VERIFY |
LAMINA | MODULUS | ORTHOGONAL | POPULATION | SELLING PRICE | VERTEX |
LATITUDE (S) | MOMENTUM | OSCILATE | POLYNOMIAL EQUATIONS (S) | SEMI CIRCLE | VERTICAL |
LATERAL | MONOTONE | OUTCOME | PROJECTION | SEQUENTIAL | VERTICAL ANGLES |
L.C.M | MONOMIAL | OUTCOME TABLE | PYRAMID | SET NOTATION (S) | VOLUME |
LEAP YEAR | MULTIPLICAND (S) | OUTLINE | PYTHAGORAS THEOREM | SIGNIFICANT FIGURE | VULGAR FRACTION (S) |
LENGTH OF CHAIN | MUTUALLY EXCLUSIVE (S) | OUTPUT | QUADRATIC EQUATION | SIMILAR | WEEKLY |
LESS THAN | NANO | OVAL | QUADRATIC FORMULA | SINE | WHOLESALE |
LEONE | NATURAL NUMBERS | OVERDRAWN | QUADRATIC MEAN (S) | SKEWED | WORD PROBLEM |
LINEAR | NAUTICAL MILE | OVERHEADS | QUADRANT | SOUTH EAST(SE) | YEAR |
LOAD | NEGATIVE ANGLE | OVERTIME | RADIUS | SOUTH WEST (SW) | YEARLY |
LOGARITHM (S) | NONAGON | PARABOLA(S) | RADIANS (S) | SPAN | YIELD |
LONGITUDINAL | NORTH EAST (NE) | PARALLELOGRAM | RANGE | SPEED | ZERO HOUR |
LOOP (S) | NORTH WEST (NW) | PARAMETER | RATIO | SPHERE | |
LOCUS/LOCI | NOTATION | PARTIAL | RECIPROCAL | SPIRAL | |
LUNAR | NOT LESS THAN | PARALLEL | RECTANGLE | SQUARE ROOT | |
LUNAR DISTANCE | NOT MORE THAN | PASCAL’S TRIANGLE | REFLECTION | STANDARD DEVIATION (S) | |
LUNAR MONTH | NTH TERM | PATH | REFLEX ANGLE | STANDARD ERROR | |
LUNAR YEAR | NUCLEUS | PENDULUM | REGION | STANDARD FORM | |
MAGNIFY | NULL | PENTAGON | REMAINDER | STATIONARY | |
MAGNITUDE | NULL SET | PERFECT NOS | REMITTANCE | STATISTICS (S) | |
MAGIC SQUARE | NUMERAL | PERRANUM | RESIDUAL | STOCK | |
MAGNETIC EQUATOR (S) | NUMERATOR | PERCENTILE (S) | RESULTANT | TANGENT | |
MAJOR ARC | NUMBER LINE | PERPENDICULAR | RETAIL | TETRAHEDRON (S) | |
MAJOR AXIS | OBLIQUE | PERIMETER | REVERSE | TRAPEZIUM | |
MANTISSA (S) | OBTUSE | PERIODIC | REVOLUTION | TREE DIAGRAM | |
MAPPING | OBTUSE ANGLE | PERFECT SQUARE | RHOMBUS | TRIAL AND ERROR | |
MARGINAL DISTRIBUTION | OCTAHEDRON | PERPENDICULAR HEIGHT | RIGHT ANGLE | TRIANGLE | |
MARK-UP-PRICE | ODD NUMBER | PIE CHART | RING | TRIGONOMETRICAL | |
MATURITY | OGIVE (S) | PIVOT | ROOT | UNEQUAL | |
MAXIMUM | ONE TO MANY | PICTOGRAM | ROOTS OF AN EQUATION (S) | UNIT | |
MAXIMA | ONE TO ONE | PREMIUM | RULE | UNIVERSAL | |
MEAN | ONE AND ONLY ONE | POLYGON | SALES TAX | UNIVERSAL SET | |
MEDIAN | OPEN SOLID | POSITIVE NUMBER | SAMPLE | UNKNOWN/UNLIKE TERMS | |
MENSURATION | OPEN AT ONE END | PRIME FACTOR | SAMPLING | VANISHING POINT (S) | |
MID POINT | OPTIMUM (S) | PRIME NUMBERS | SCALAR PRODUCT (S) | VARIABLE | |
MINIMUM | ORBIT | PRISM | SCATTER DIAGRAMS (S) | VARIANCE (S) | |
MINIMA | ORDER | PROBABILITY | SCORE | VARIATION | |
MINUEND | ORDINATE | PRODUCT OF | SECTOR (S) | VELOCITY |
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