Category
of Post: School Assistant - Mathematics
Syllabus
Part –
I
GENERAL
KNOWLEDGE AND CURRENT AFFAIRS (Marks: 10)
Part -
II
CHILD DEVELOPMENT AND PEDAGOGY (Marks: 30)
1. DEVELOPMENT OF CHILD
- Development, Growth & Maturation – Concept & Nature
- Principles of development
- Factors influencing Development – Biological, Psychological,
Sociological
- Dimensions
of Development and their interrelationships – Physical & Motor, Cognitive,
Emotional, Social, Moral, Language relating to Infancy, early Childhood, late
Child hood, Adolescence.
- Understanding Development – Piaget, Kohlberg, Chomsky, Carl Rogers
- Individual
differences – Intra & Inter Individual differences in the areas of
Attitudes, Aptitude, Interest, Habits, Intelligence and their Assessment
- Development
of Personality – Concept, Factors effecting development of Personality
- Adjustment, Behavioural problems, Mental Health
- Methods
and Approaches of Child Development – Observation, Interview, Case study,
Experimental, Cross sectional and Longitudinal
- Developmental tasks and Hazards
2. UNDERSTANDING LEARNING
- Concept, Nature of Learning – input – process – outcome
- Factors of Learning – Personal and Environmental
- Approaches
to Learning and their applicability–Behaviourism (Skinner, Pavlov, Thorndike),
Constructivism (Piaget, Vygotsky), Gestalt(Kohler, Koffka) and Observational
(Bandura)
- Dimensions of Learning – Cognitive, Affective and Performance
- Motivation and Sustenance –its role in learning.
- Memory & Forgetting
- Transfer of Learning
3. PEDAGOGICAL CONCERNS
- Teaching and its relationship with learning and learner
- Learners in Contexts: Situating learner in the socio-political and
cultural context
- Children from diverse contexts–Children With Special Needs (CWSN),
Inclusive Education
- Understanding of pedagogic methods – Enquiry based learning, Project
based learning, Survey, Observation and Activity based learning
- Individual
and Group learning: Issues and concerns with respect to organizing learning
in class room like Study habits,
Self learning and Learning to learn skills
- Organizing learning in heterogeneous class room groups – Socio-economic
background, Abilities and Interest
- Paradigms
of organizing Learning-Teacher centric, Subject centric and Learner centric
- Teaching as Planned activity – Elements of Planning
- Phases of Teaching – Pre active, Interactive and Post active
- General
and Subject related skills, competencies required in teaching and attributes of
good facilitator
- Learning resources – Self, Home, School, Community, Technology
- Class room Management: Role of student, teacher, Leadership style of
teacher, Creation of non-threatening learning environment, Managing behaviour
problems, Guidance & Counselling, Punishment and its legal implications,
Rights of a child, Time Management.
- Distinction between Assessment for Learning & Assessment of
Learning, School based Assessment, Continuous & Comprehensive Evaluation :
Perspective & Practice
- Understanding
teaching & learning in the context of NCF, 2005 & Right To Education
Act, 2009.
Language
– I Content and Methodology) (Marks: 30)
Optional by the Candidate:
Telugu/Urdu/Hindi/Tamil/Kannada/Oriya/Sanskrit
III
(a) Language – I Telugu (Content and Methodology) (Marks: 30)
Content
Content
(1) Parts of Speech (2) Tenses (3) Active voice & Passive voice (4)
Prepositions and Articles
(5) Degrees of comparison (6) Clauses (7) Verbs – Main Verbs – Auxiliary
Verbs (8) Adverbs – Types of Adverbs (9) Conjunction – coordinating conjunction
– subordinating conjunction. (10) Direct and Indirect speech (11) Questions and
question tags (12) Types of sentences – simple, compound and complex –
synthesis of sentences (13) Phrases – uses of phrases. (14) Composition –
letter writing – précis writing (15) Comprehension (16) Vocabulary – Antonyms,
Synonyms and Spellings
Methodology
1. Aspects of English:- (a) English language – History, nature, importance,
principles of English as second language. (b) Problems of teaching / learning
English.
2. Objectives
of teaching English.
3. Phonetics
/ Transcription.
4. Development
of Language skills:- (a) Listening, Speaking, Reading & Writing (LSRW). (b)
Communicative skills – Imparting values through Communication.
5. Approaches, Methods, Techniques of teaching English:- (a) Introduction,
definition & types of Approaches, Methods &Techniques of teaching
English (b) Remedial teaching.
6. Teaching of structures and vocabulary.
7. Teaching
learning materials in English.
8. Lesson
Planning.
9. Curriculum & Textbooks – Importance and its need.
10. Evaluation
in English language.
Part –
V
Mathematics
and Science (Content and Methodology)
(Marks : 100)
V (a)
Mathematics (Content and Methodology) (Marks : 70)
CONTENT
NUMBER OF SYSTEM: Number system
(N,W,Z,Q,R,)and their properties, diff. types of surds, Rationalization of
mono, Binomial surds, extraction of square roots of real numbers. Complex
number as an order pair of real numbers and their fundamental operations,
representation in the form of a+ib –conjugate complex numbers , Modules and
amplitude of complex numbers-illustrations, geometrical representations of
complex numbers in Argand plane- Argand diagram. Prime and composite numbers,
types of primes (co, twin, relative etc.) prime factors, multiple factors,
GCF,LCM, relation bet. GCD & LCM. Modulus of a real number, Absolute value
1.
SETS
AND RELATIONS: Statements: Consecutiveness, Negation, Disjunction, Conjunction,
Conditional, Bi-conditions (Bi-Implications), algebra of statements, Quantifies
,Converse, Inverse and contra positive of a conditional, proofs Direct and
indirect proofs – methods of disproof, an application of truths tables to
switching networks, sets – proofs of some laws of set operations, principle of
duality, a comparison between the algebra of sets and statements, Tautologies
and contradictions,
Concept
of a set: Definition ,Null set, equality of set, cardinal number, subset, super
set, Universal set, union, intersection, venn diagrams, compliment,
Relations:
Ordered pairs, image, pre-image, range, injection, surjection, Bijection,
finite set Cartesian products, Domain and range of a relations, Inverse
relation, Types of relations, Relations and functions.
Functions:
Types of functions- definitions, Theorems on function, Domain, Range, inverse
and real valued functions. Identity function, Constant function, Equal
function, even and odd function, polynomial functions, Rational functions,
Algebraic functions, Exponential functions, Logarithmic functions, Exponential
and Logarithmic Series, Greatest Integer functions. Composite function, and its
property, graphs of functions, Compound functions. equations of functions
Limits:
Concept, and limits of a function. Continuity, Neighbourhoods.
2. COMMERCIAL
MATHEMATICS: Ratio and proportion, Rate, Unitary method, Percentages, Trade
Discount, Average, Simple interest, Compound interest, Partnership, Time and
distance, Time and work, clocks and calendar problems.
ALGEBRA:
Laws of exponents: Laws of rational indices, Multiplication and division of
polynomials, Some special products, Factorization of Quadratic Expressions.
Logarithms: Definition, simple
laws of logarithms, some additional laws, characteristic, Mantissa Exponents.
Algebra
of expressions: Square roots, Homogeneous, Symmetric cyclic expression and
Factorization, symmetric expressions, cyclic expressions, quadratic equations,
reciprocal equation, relation between roots and coefficients, nature of roots,
to find the quadratic equation whose roots are given. Remainder theorem, Horner’s
method, trial and error method,
finding multiple roots, graphical
solutions.
Binomial Theorem: Standard
binomial expansion, theorem, integral part, fractional part, numerically
greater terms, largest problems, approximation using Binomial theorem.
Mathematical
induction: principles of mathematical induction and theorems and its
applications, problems on divisibility.
3. LINEAR
EQUATIONS: Linear equations in two variables: System of linear equations
,Simultaneous equation in two variables, Dependant equations, Linear equations
and their graphs, Linear functions , System of equations, linear
programming-problems (LPP). The fundamental theorem, graphical method of
solving an LPP, a closed converse polygon, general graphical methods –
application of LPP.
In-equations:
Linear in-equations and their graphs, System of in-equations. Linear equations
in two variables, System of linear equations, simultaneous equation in two
variables Dependant equations, linear equations and their
graphs,
linear functions, system of equations, System of two points, which is not
parallel to X-axis, Midpoint of the segment following A(x1,y1), B(x2,y2)
equation of a line passing through the origin having slope m, The slope
intercept form of a line, the point slope form of a line, the intercept form of
a line, the two point form of a line, linear in-equations, their graphs, system
of linear in-equations.
Rational integral of x, remainder theorem, Horner’s method
of synthetic division, problems leading to quadratic equations, graphical
solutions of quadratic, Quadratic inequalities in one variable, solution of
quadratic in-equations the principle of mathematical induction , The binomial
theorem, Pascal triangle.
Quadratic expressions, equations in one variable, sign of
quadratic expressions, changes in signs and maximum and minimum values,
quadratic in-equations, relation between the roots and the coefficient in an
equation,
remainder theorem, connecting problems, solving an equation when two or more of
its roots are connected by Cartesian relations, Horner’s method of synthetic
division, trial and error method, Procedure to find multiple roots.
4.
GEOMETRY
Structure of geometry, axioms, Historical background,
Basic axioms, Parallel line, theorems, triangles and polygons, angles of a
polygons, theorems based on, Polygon congruence of triangle SAS, ASA, SSA,
axioms, Parallelogram and its properties, Triangles, Particular types,
geometric inequalities in a triangles some theorem, circles and concurrent
lines in triangles, Theorems based on circles, Concurrent lines in a triangle,
Median, Altitudes of a triangle, line of symmetry, axis of symmetry, point
symmetry, image of an angle.
Quadrilaterals, example of different Quadrilaterals,
Parallel lines and triangles, theorems, intercept, Theorems, locus, points
equidistant from two given points. Theorems, an concurrency, attitude, circum
centre, ortho centre, centroid, Areas, polygonal region, Area axiom, congruent
axiom, area monotonic axiom, area of parallelogram theorem, Area of Triangle,
Theorem based quit, circles are of a circle, semi circle, segment of a circle,
Congruence of a circle, Theorems based on circle.
Similar polygons, similar triangle and their properties,
Basic proportionality theorem, vertical angle bisection theorem, Similar
Triangle, AAA similarity, SSA, SAS similarities Pythagoras theorem, Tangents to
a circle, different properties of a tangent to a circle, segments of a chord,
Common tangents to two circles.
GEOMETRICAL CONSTRUCTIONS
Construction of triangles, constructions involving
concurrence lines, triangles and circles, harder cases, Geometrical
constructions involving circles and tangents and triangles and quadrilaterals.
5.
MENSURATION
Square, rectangle, triangle,
Quadrilateral, Circle, Ring (Annulus), Sector. Prism, total surface area of
right prism, volume of a prism, Volume of a
cube,
Cuboids, The right pyramid, Cylinder, Hollow cylinder, Cylindrical shell, ratio’s
of cylinders, cone, Hollow cone, solid cone, Curved surface area, total surface
area, volume of a right circular cone, Sphere: Surface area of a sphere, total
surface area of a hemisphere, Volume of a sphere, Hollow hemisphere.
6.
MATRICES
Matrix
Definition, Order of a matrix, Types of matrices, Equality of two matrices,
Addition, Subtraction, multiplication of matrix, Product of two matrices,
properties of products of matrices, transpose of matrix, properties, skew
symmetric matrix, Adjoint and inverse of a matrix, simultaneous linear
equations,
types of system of simultaneous linear equations, consistency and inconsistency
of Simultaneous equation. .
Multiplicative
inverse of a square matrix, singular and non singular matrix, solution of a
system of linear equations in two variable using matrices determinants,
properties of determinants, Matrix inverse method and Cramer’s , Inversion and
Gauss Jordan method and Solving Equations Triangle matrices, properties of
addition of matrices, sector multiple of a matrix
7.
STATISTICS
Cumulative
frequency distribution, LCFD, GCFD, Frequency graphs, lesser then frequency
distribution, Greater than frequency distribution.
Central
Tendency: means of the ungrouped data, Weighted AM, means grouped data, Merit
and demerits of AM, Medians from ungrouped and grouped data, mode of ungrouped
and grouped data, Empirical relation among mean, Median and mode.
Probability:
Random Experiments and Events, Definition, Axiomatic Approach, Independent and
Dependent Events, Conditional Probability, Bayes Theorem, random variables ,
theoretical distributions.
8. COMPUTING
Introduction to computers, Historic development of
computers, Structure of a computer, working characteristics of Computers,
Problem solving, flow charts and their representation, Operations box, Data
box, Decision box, loops, Algorithm, Flow diagram using boxes for mechanics.
9. PROGRESSIONS
Progressions:
Common difference, nth term, sum of the first nth terms Arithmetic, Geometric
and Harmonic Progressions and problems. AM, GM, HM and its Problems.
10. TRIGONOMETRY
Unit
of measurement of angles: Radian measure, relation between radian and degrees,
6 Trigonometric ratios and transformations, behavior of trigonometric
functions, Trigonometric functions of complementary angles, trigonometrically
tables. Inverse trigonometric functions, Hyperbolic Functions, Properties of
Triangles, graphs and periodicity, Trigonometric ratios of compound angles,
Trigonometric ratios of multiple and sub multiple angles, Angle of elevation
and angle of depression, heights and distance. Trigonometric Expansions.
11. ANALYTICAL GEOMETRY
Distance between two points,
Division of a segment internally and externally in a given ratio, slope, Area
of triangle, The Straight Line; Pairs of St Lines.
LOCUS, Transformation of Axes.
Three
Dimensional Geometry: Co-ordinates; Direction Cosines and Ratios; Cartesian
equation of a plane.
Circles and System of Circles,
Parabola, Ellipse, Hyperbola and polar coordinates.
Methodology
1. Meaning
and nature of Mathematics, History of mathematics, How does History of
Mathematics helps – Teacher
2. History
of Mathematics – Aryabhatta, Bhaskaracharya, Srinivasa Ramanajain, Euclid,
Pythagoras, George cantor.
3. Aims
and values of teaching Mathematics, Instructional objective (Blooms taxonomy)
4.
Curriculum
of mathematics – Principals of cumulus construction, organization of curriculum
(Logical and psychological, topical and concentric
– Spiral approaches), Qualities of
a good Mathematics, text book.
5.
Methods
of teaching mathematics- Heuristic method, laboratory method, Inductive and
deductive methods, Analytic and synthetic methods – project method and problem
solving method.
6.
Unit
plan, year plan, lesson planning in mathematics.
7. Constructional
materials is teaching mathematics, Edgar dale’s cone of experience.
8.
Backwardness
in the subject – slow learners – gifted learner identification, characteristics
and remedial measures.
9. Mathematics
teacher techniques of teaching mathematics like oral work, writer work,
drilling, Asymmetry, project, speed and Accuracy.
10. Mathematics
club, mathematics structure of mathematics order, pattern sequence.
11.
Evaluation
– Types – Tools and Teaching of Evaluation – Preparation of SAT Analysis,
Characteristics of a good test.
V
(b) Physical Science (Content and
Methodology) (Marks : 15)
CONTENT
1. Measurements: Units and Different Systems –C.G.S., M.K.S., S.I.
Triangulation
method for measuring long distances, Measurement of Length, Area, Volume, Mass,
Density and Time.
Fundamental
and Derived units.
Measuring
instruments – Scale, Tape, Vernier Calipers, Different types of clocks,
2. Natural Resources – Air, Water: Water
pollution, Harnessing of water, States of water, Hardness of water, water pressure
Air pollution, Atmospheric Pressure, Air pressure,
Archimedes’ principle, Pascal’s law, Bernoulli’s Principle, Hydrometer,
Barometer.
Laws of floatation, Specific gravity, Surface
tension, Fluid Mechanics.
3.
Our Universe: Constellation - Zodiac, Space
travel; Solar system, Satellites, stars, comets; Earth-layers of earth.
4.
Natural Phenomenon: Light: Rectilinear
propagation of Light, Shadows, transparent and opaque materials; reflection, Laws of reflection, refraction, Reflection
at spherical mirrors, refractive index of glass slab
Sound: Sources
of sound, Transmission of sound, Sound Pollution, Waves, Kinds of Waves, Wave Propagation, Musical
instruments.
Heat: Heat and Temperature, Measurement of Temperature and Thermometer, Change
of State due to heat
5.
Mechanics - Kinematics, Dynamics: Scalar
and Vectors.
Types of Motion; Speed, Velocity, Acceleration,
Newton’s Laws of Motion, Friction, Momentum, Principals of Conservation, Centre
of Gravity, State of Equilibrium.
6. Magnetism and Electricity: Magnetism: Natural
Magnets and Artificial Magnets, properties of Magnets, Magnetic Induction, uses of Magnets, Methods of
Magnetisation.
Electricity: Circuit Connection-Components, Primary Cells, Charge; Effects of
Electric Current (Light, Heat,
Magnetic), Primary Cells, Current Flow, Heating and Magnetic Effects of an
Electric Current, Series, Parallel connections, Symbols of Electrical Elements,
Modern World Instrument. Information and Communication Technology, Computers.
7. Matter-Its changes: Elements
and Compounds, Symbols, Formulae, Chemical
Equations
Action of heat on substances, Physical and Chemical changes, types of
chemical changes Preparation of Gases (Oxygen, Hydrogen, Carbon- Di-Oxide,
Chlorine, Hydrogen Chloride) Acids, Basis, Salt.
Water and its constituents. Hardness of water.
Sulphur, Nitrogen, Phosphorous and their compounds. Common salt and its
constituents.
8. Laws of Chemical Combination
and Chemical Calculations: Laws of chemical combination, Calculations based on chemical
equations.
Methodology
1. Definition,
Nature, Structure and History of Science
2. Aims,
Values and Instructional Objectives of teaching Science
3. Method of Teaching Science
4. Instructional
Material in Teaching Science – TLM in Science.
5. Instructional
Planning
6. Science Laboratory
7. Science
Teacher - Changing Roles
8. Science
Curriculum and its transaction
10.
Evaluation – CCE - Designing, Administration, Analysis,
Scholastic Achievement Test (SAT)
V
(c) Biological Science (Content and
Methodology) (Marks : 15)
CONTENT
1. Biology: Its importance in everyday life,
contribution of scientists, different branches.
2. Living World – Characteristics: Classification
of Plants and Animals and their characteristics. a) Cell: Concept, Cell theory, differences between Plant cell and
Animal cell, Cell division.
b) Tissues – Animal tissues.
3.
Plant World – Types of plants: Parts of
a plant – their functions
Reproduction – Asexual, Sexual, Vegetative propagation, Nutrition,
Photosynthesis, Excretion, Respiration
Economic
importance of Plants, Agriculture, Crop diseases & pest control measure. 4. Animal World: Organ systems and
their functions including man
Digestive system, Respiratory system, Circulatory system, Excretory
system, Nervous system, Reproductive system, Sense organs in man, Nutrition
Deficiency
diseases in man, First Aid
Economic importance of Animals, Animal husbandry, Pisciculture,
Sericulture. 5. Microbes: Bacteria,
Viruses, Fungi, Protozoan
useful and harmful, microbial
diseases in plants & animals
6.
Our Environment: Biotic & Abiotic factors,
Natural resources
7. Recent trends in Biology: -Hybridization,
Genetic engineering, Gene banks, Gene therapy, Tissue culture
Methodology
1. Definition, Nature, Structure and History of Science
2. Aims,
Values and Instructional Objectives of teaching Science
3. Method of
Teaching Science
4. Instructional Material in Teaching Science – TLM in Science.
5. Instructional
Planning
6. Science
Laboratory
7. Science Teacher - Changing Roles
8. Science
Curriculum and its transaction
9. Science
Textbook.
10.
Evaluation – CCE - Designing, Administration, Analysis,
Scholastic Achievement Test (SAT)
1 comments:
Your site is far informative and effective to those who are in need of more teaching techniques and materials. I love the way the people here interact and shared their opinions too. I would love to track your future posts pertaining to the said topic 4 Types of Sentences . Much kudos to you for pulling it off!