DSC 2014 School Assistant Mathematics Syllabus for TET cum TRT Maths Written Exam.Before going to the Mathematics AP DSC 2014 Syllabus, The Structure of School Asst Maths is as follows.

Part – I GENERAL KNOWLEDGE AND CURRENT AFFAIRS (Marks: 10)

1. DEVELOPMENT OF CHILD

2. UNDERSTANDING LEARNING

3. PEDAGOGICAL CONCERNS

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(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 – prĂ©cis writing (15) Comprehension (16) Vocabulary – Antonyms, Synonyms and Spellings

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.

Sl.No | Content | No. of Multiple Choice Questions | Marks |

i. | General Knowledge and Current Affairs | 10 MCQs | 10 Marks |

ii. | Child Development and Pedagogy | 30 MCQs | 30 Marks |

iii. | Language I(Opted by the candidate) | 30 MCQs | 30 Marks |

iv. | Language II (English) | 30 MCQs | 30 Marks |

v. | Mathematics & Science (Mathematics- 70, Bio. Sci- 15 & Phy. Sci- 15) | 100 MCQs | 100 Marks |

TOTAL | 200 MCQs | 200 Marks |

### DSC 2014 School Assistant Maths Syllabus Written Exam

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.

### Part – III 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)__**URDU Language**

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### Part – IV Language – II (English) (Content and Methodology) (Marks: 30)

__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 – prĂ©cis 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)**

__Maths 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)

__Physical Science 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
- 9. Science Textbook.
- 10. Evaluation – CCE - Designing, Administration, Analysis, Scholastic Achievement Test (SAT)

### V (c) Biological Science (Content and Methodology) (Marks : 15)

**Biology 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)