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Teaching of Mathematics Syllabus

The teaching of Mathematics Syllabus course is an introduction to the teaching of Mathematics curriculum at primary schools and it is designed to impart the basic skills and knowledge essential for teachers at the primary level. 


Disclaimer: This is the old syllabus of NEB.
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Teaching of Mathematics Syllabus
Full marks: 50
Teaching hours: 75 
I. Introduction
Teaching of Mathematics Syllabus course is an introduction to the teaching of Mathematics curriculum at primary schools and it is designed to impart the basic skills and knowledge essential for teachers at the primary level. Prospective teachers will be acquainted with teaching objectives, general as well as specific, and will make an in-depth study of the s curriculum and textbooks for the first to fifth grades. Furthermore, it contains directions to plan and evaluate teaching in primary grades. This course will develop competencies in preparing teaching aids and identifying strategies/ approaches for teaching different concepts school of Mathematics for young learners.
II.      General obJectives
The general objectives of the Teaching of Mathematics Syllabus course are to make the students:
a.          learn to motivate pupils to study Mathematics,
b.         develop a positive attitude towards Mathematics education, and
c.          prepare themselves for higher academic pursuit in Mathematics education.
III.  Specific Objectives
On completion of the Teaching of Mathematics Syllabus course, primary school teachers will be able to
1.         state the objectives of primary school Mathematics; 
2.         compare the objectives, scope, and sequence of Mathematics content;
3.         state the stages of cognitive development of a child according to Piagetian theory:
4.         use implications of Piaget’s theory;
5.         usee differents teaching techniques;
6.         teach set notation, language, and kind of sets and their operation;

7.         teach Hindu-Arabic and Roman number system;
8.         teach operations on whole numbers, fractions, decimals and their properties;
9.         teach the basic measures in metric system and measures of time;
10.     prepare the teaching of algebraic concepts, constants, variables, operation on algebraic expressions and simple linear equations:
11.     teach elementary concepts of Euclidean geometry; 12. teach how to read and draw pictorial charts and graphs:
13.     construct the test items:
14.     prepare yearly plan, unit plan, and lesson plan: and
15.     construct and use different teaching aids.
IV.   Course Contents
UNIT: I                                                       4 teaching hours
Psychological aspects of Mathematics education
i.        Cognitive development of a child according to Piaget (sensory-motor, preoperational, concrete, formal operational)
ii.      Implications of Piaget’s, theory in learning at the primary level.
UNIT: II                                                                         4 teaching hours
Instructional strategies
a.          Problem-solving: different steps of problem-solving
b.         The inductive and deductive methods with examples from the primary school curriculum.
c.          Investigation: Games and pi m7les.
d.         Discussion and question-answer approach.
UNIT: III                                                               4 teaching hours
Curriculum studies
i. objectives of primary school Mathematics curriculum 
ii.content analysis, scope, sequence 
iii.  study on textbooks, teacher guides.
UNIT: IV                                                                       5 teaching hours
Teaching sets
Notation, element, finite and infinite sets, universal set, the empty set, subset, overlapping and disjoint sets, Complement of a set, union and the intersection of sets, difference-of sets.
UNIT: V                                                                         5 teaching hours
Teaching number and numerals
Comparison of numbers, counting, Roman and Hindu-Ambic numeration systems, odd and even, prime and composite, positive and negative, square numbers, cube numbers, Teaching aids for teaching number and numerals.
UNIT: VI                                                                       5 teaching hours
Teaching addition and subtraction
Concepts of addition & subtraction as forward and backward counting, basic facts of addition and subtraction, addition and subtraction with manipulative materials like marbles, leaves, base ten blocks, abacus, etc.
Algorithms of addition and subtraction.
UNIT: VII                                                              5 teaching hours
The teaching of multiplication and division
Concepts of multiplication as repeated addition and division as repeated subtraction.
Basic facts of multiplication and division. Teaching by manipulative material like marbles, leaves, stones, base ten block, abacus, etc.
The teaching of division and its different constituents like divisor, dividend, quotient, and remainder. Algorithm of multiplication and division.
UNIT: VIII                                                    5 teaching hours
Teaching fraction & decimals
Concept of fractions, equivalent fraction, operation on fractions, concept of decimal fractions, ordering of fractions, conversion operations on decimal fraction.
Unit: IX                                                     5 teaching hours
Teaching measurements:
Non-standard/standard units, length, area, capacity, volume, time, money, weight, estimation and standard unit, conversion verbal problem on measurement, using local material, coins, meterstick, cuboids, clocks, paper coins, balance and other local measures.
Unit X:
Teaching percentage ratio, proportion, and percentage:                  5 teaching hours
Fraction and percent, ratio, the relation of percent, ratio and fractions, proportion direct, using the unitary method, inverse.
Unit XI:                                                         7 teaching hours
Teaching algebra:
Meaning of place holder by box notation, faction, variable, constant, like and unlike terms, expressions, coefficient, numerical and literal coefficient, addition, and subtraction of binomial expressions, meaning of the equation and ematical sentences formulation of verbal problems leading to linear equations, and vice versa, axioms of equality, solution, linear equations in one variable by balance.
Unit XII:                                                                        8 teaching hours
Teaching geometry
Point line, line segment, rays, surface, and solid figures (vertices, edges, and faces) triangles (kinds) angles (kinds) quadrilateral (kinds), polygons, parallel lines, congruent and symmetrical figures.
Constructions using set square, protractor, construction and use of geoboard, geometrical moving models, rectangular box, cubes.
Unit XIII:                                                               3 teaching hours
Teaching graphs and charts 
Simple pictorial graph and bar graph, (reading, comparing and drawing) collection, organization, and classification of data in tables.

Unit XIV:                                                                          8 teaching hours
Planning for Mathematics teaching
     preparation of an annual plan and some samples of unit plans.
     writing behavioral objectives for different primary school concepts.- preparing daily lesson plans for different Mathematics lessons.- development of micro-teaching for units.
UnitXV:                                                     3 teaching hours
Evaluation of student achievement
Preparation of teacher-made test (subjective, objectives tests), preparation of unit and final tests.
VI. Reference Materials
1.      Pandit, R.P., Teaching Elementary, School Mathematics, Ananta Prakashan
2.      dxh{g, xL/faxfb’/ Pj+ kf}8]n, n]vfgfy, ul0ft lzIf0f kl/ro, tnh]’ k|sfzg
3.      Shrestha, M.M et al Mathematics Teaching, Basic Primary, Teacher Training School Package, Traning Section MOE Kesher, Mahal, Kathmandu, 1990.
4.      Castles, John. Teaching and Leaming 11-16 Routledge.
5.      Ploy G. How to solve it, Privation University press
6.      Pandit, Rainjee. k|f/lDes ul0ft lzIf0f, cgGt k|sfzg, sf7df8f}F, g]kfn, @)%$
7.      Maharjan. al, ul0ft kl/ro, glthf k|sfzg, sf7df8f}F, g]kfn @)%$
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