MAHA TET Paper 1 cheat sheet

Piaget's four stages: sensorimotor (0-2 yr, object permanence, reflex to goal-directed action), preoperational (2-7 yr, egocentrism, irreversibility, animism), concrete operational (7-11 yr, conservation, classification, seriation, reversibility only with concrete objects), formal operational (11+ yr, hypothetico-deductive and abstract reasoning).

Vygotsky: development is social first, individual later; the Zone of Proximal Development is the gap between independent performance and assisted performance; scaffolding is temporary, graded support withdrawn as competence grows; inner speech is internalised social speech.

Kohlberg's three levels, two stages each: preconventional (punishment-obedience, instrumental exchange), conventional (good boy-nice girl, law and order), postconventional (social contract, universal ethical principle); most primary-school children reason at the preconventional or early conventional level.

Erikson's psychosocial stages relevant to Paper 1: autonomy vs shame (1-3 yr), initiative vs guilt (3-6 yr), industry vs inferiority (6-12 yr); repeated school failure and ridicule push the child toward inferiority.

Learning theories to discriminate: Thorndike's laws of readiness, exercise and effect; Pavlov's classical conditioning (a neutral stimulus paired with an unconditioned stimulus acquires its power); Skinner's operant conditioning (behaviour is shaped by consequences and schedules of reinforcement); Kohler's insight learning; Bandura's observational learning.

Language acquisition: behaviourist account = imitation, reinforcement and practice (Skinner); nativist account = an innate Language Acquisition Device and universal grammar (Chomsky); interactionist account = both maturational and environmental factors operate together.

Gardner's multiple intelligences: linguistic, logical-mathematical, spatial, musical, bodily-kinaesthetic, interpersonal, intrapersonal, naturalistic; intelligence is not a single fixed general factor measured by one IQ score.

RTE Act 2009 rules that recur in questions: free and compulsory education for ages 6-14, no capitation fee and no screening procedure at admission, no detention or expulsion till elementary completion, no board examination till completion of elementary education, pupil-teacher ratio 30:1 at primary level, prohibition of physical punishment and mental harassment, and School Management Committee composition.

CCE: formative assessment is continuous, diagnostic and feedback-oriented (observation, oral questioning, classwork, projects, portfolios); summative assessment is terminal and graded; the intended contrast is assessment for learning versus assessment of learning.

Natural order of skill development is LSRW: listening, then speaking, then reading, then writing; listening and speaking are oral-aural and precede reading and writing, so a language lesson normally opens with oral work.

Basic units: phoneme = smallest sound unit that distinguishes meaning (pat/bat); morpheme = smallest meaningful unit, free (book) or bound (-s, un-); a word is a free minimum meaningful unit; the branches are phonology, morphology, syntax, semantics and pragmatics.

Language acquisition versus language learning (Krashen): acquisition is subconscious, natural and meaning-focused and yields the first language; learning is conscious, rule-focused and typically applies to the second language; the affective filter (anxiety, low motivation) blocks intake.

Approaches: grammar-translation uses rules and translation with little oral work; direct method bans the mother tongue and teaches through the target language; structural approach drills graded sentence patterns orally; communicative approach prioritises real functions and fluency over formal accuracy.

Reading types: skimming for the gist, scanning for a specific detail, intensive reading for close comprehension and vocabulary, extensive reading for fluency and pleasure; loud reading tests pronunciation while silent reading tests comprehension.

Error versus mistake: an error is systematic and reflects the learner's developing rule system (interlanguage); a mistake is a random slip. Correction should be selective, delayed where it would break fluency, and never punitive.

Bilingualism is a resource, not a deficit; the home language and dialect are used as a bridge to build concepts in the school language. A dialect difference is not an error in the child's mother tongue.

Evaluation in Language I must test the four skills separately (oral test, dictation, cloze, comprehension passage, composition, portfolio); a single essay-type paper does not assess listening and speaking.

Teaching-learning material: picture cards, flashcards, charts, word cards, puppets, story-telling, audio recordings; TLM should be relevant to the objective, low-cost and locally available.

Articles: a before a consonant sound, an before a vowel sound (an hour, a university), the for something specific or already mentioned; no article with proper nouns, languages, meals or plural/uncountable nouns used in a general sense.

Prepositions of time follow the rule in + months, years and parts of the day; on + days and dates; at + clock time and fixed expressions; prepositions of place: in (enclosed), on (surface), at (point).

Twelve tense forms from three times (present, past, future) and four aspects (simple, continuous, perfect, perfect continuous); present perfect = have/has + past participle for a past action with present relevance; past perfect marks the earlier of two past events.

Active to passive: the object becomes subject, the verb becomes be + past participle in the same tense, and the original subject moves into a by-phrase or is dropped; only transitive verbs can be made passive.

Direct to indirect speech: reporting verb changes, tense backshifts one step, pronouns shift to the reporter's viewpoint, and time/place words change (now to then, today to that day, here to there, this to that); universal truths and habitual facts do not backshift.

Reading pedagogy: phonics teaches letter-sound correspondence and blending (c-a-t to cat); the whole-word or look-and-say method treats the word as a unit; sight words are high-frequency irregular words learned by recognition.

Communicative Language Teaching and Total Physical Response: tasks, pair work, role play, information-gap activities and commands with physical action; grammar is taught in context and fluency is not sacrificed for instant accuracy.

L1 interference produces predictable transfer errors, chiefly omission of articles, wrong prepositions, missing third-person -s, and consonant-cluster pronunciation problems; contrastive analysis predicts such errors, error analysis studies the actual ones.

Assessment tools in Language II: multiple-choice items, gap-fill, matching, sequencing, picture description, listening comprehension, dictation and short composition; each tests a different skill and should not be conflated.

Place value: each place is ten times the value of the place on its right; Indian place-value periods are ones, thousands, lakhs and crores; a digit's value = face value x place value.

Divisibility rules: 2 if the last digit is even; 3 if the digit sum is divisible by 3; 4 if the last two digits form a multiple of 4; 5 if it ends in 0 or 5; 9 if the digit sum is divisible by 9; 11 if the difference of alternating digit sums is 0 or a multiple of 11; 10 if it ends in 0.

For any two numbers, HCF x LCM = product of the numbers; HCF is found by prime factorisation taking the lowest powers of common primes, LCM by taking the highest powers of all primes present.

Fraction rules: add or subtract only after making denominators equal using the LCM; multiplication multiplies numerators and denominators; division means multiplying by the reciprocal; a proper fraction is less than 1, an improper fraction greater than or equal to 1.

Formulas: rectangle perimeter = 2(l + b) and area = l x b; square perimeter = 4s and area = s squared; triangle area = half of base x height; circle circumference = 2 pi r and area = pi r squared; volume of a cuboid = l x b x h.

Average = sum of all items divided by the number of items; the unitary method first finds the value of one unit and then scales it, and in inverse proportion the product of the two quantities stays constant.

Van Hiele levels of geometric thinking: visualization, analysis, informal deduction, formal deduction, rigor; a learner at the visualization level recognises a shape by its whole appearance, not its properties, so instruction must begin there.

Concept sequence for primary mathematics is concrete (real objects, Dienes blocks, abacus, geoboard, beads) to semi-concrete (pictures, tally marks, number line) to abstract (symbols, algorithms).

Diagnostic error analysis: look for a pattern before re-teaching - place-value misalignment in column addition, borrowing errors in subtraction, treating multiplication as repeated addition even for large numbers, and unit-conversion errors in measurement.

EVS at the primary level (classes III-V) integrates science, social studies and environmental education around the child's immediate world, following the NCF 2005 themes: family and friends, food, shelter, water, travel, and things we make and do.

Plants: root, stem, leaf, flower, fruit and seed, each with a function; photosynthesis requires chlorophyll, sunlight, carbon dioxide and water, and releases oxygen; leaf venation, tap and fibrous roots, and seed dispersal by wind, water and animals.

Animals: herbivore, carnivore and omnivore by food; food chain runs producer (plant) to consumer to decomposer; adaptations such as the camel's hump, fish gills, and bird beaks and feet matched to diet.

Food and nutrition: energy-giving (carbohydrates and fats), body-building (proteins), protective (vitamins and minerals), plus roughage and water; a balanced diet contains all of these in proper proportion; deficiency diseases include scurvy (vitamin C), rickets (vitamin D) and anaemia (iron).

Water: three states, changes of state on heating and cooling, and the water cycle of evaporation, condensation, precipitation and collection; sources include rain, rivers, wells and groundwater; conservation by rainwater harvesting and closing leaks.

Air: roughly 78% nitrogen, 21% oxygen and about 1% other gases including carbon dioxide and argon; air occupies space, has weight, supports burning and is needed for respiration; burning and breathing change its composition.

Map and globe skills: four cardinal directions, symbols with a legend or key, scale as the ratio of map distance to ground distance, a sketch is drawn to rough scale from memory and a plan is a drawing of a small area from above.

EVS pedagogy: observation of the neighbourhood, questioning, discussion, field trips, surveys, experiments, project work and role play; the syllabus should start from the local and move to the distant, and from the known to the unknown.

EVS assessment is largely continuous and tools must match the objective: observation checklists, project reports, drawings, oral questioning, matching and classification tasks, not only written recall tests.

Piaget's stages, Vygotsky's ZPD, Kohlberg's levels, Erikson's psychosocial stages, learning theories, RTE 2009 provisions and CCE are the highest-frequency areas of this domain.

Match the theorist to the key term in one pass: object permanence and conservation (Piaget), scaffolding and inner speech (Vygotsky), reinforcement (Skinner), insight (Kohler), modelling (Bandura), multiple intelligences (Gardner).

For inclusion and RTE items, prefer the option that keeps the child in the regular classroom with support over any option that separates, labels or punishes.

Assessment items: continuous and diagnostic means formative; end-of-term grading means summative; the answer is never that assessment should be reduced to a single annual written test.

The LSRW order, phoneme versus morpheme, acquisition versus learning, and error versus mistake are the recurring conceptual questions in this domain.

When an item asks for the best correction strategy, choose the option that is selective, meaning-focused and non-punitive over one that interrupts and penalises every error.

Reading items: gist means skimming, a specific detail means scanning, close analysis means intensive, and fluency or pleasure means extensive.

Bilingualism and dialect use are treated as classroom resources; the home language is a bridge, not an obstacle, and a dialect feature is not a learner error.

Grammar items are decided by fixed rules: article choice by sound, preposition choice by the in/on/at time rule, tense choice by time reference plus aspect.

In passive and reported speech items, apply the mechanical transformation in order: object to subject, be plus past participle, then backshift and pronoun change.

In method questions, the communicative option (task, pair work, fluency, grammar in context) is preferred over grammar-translation or rote repetition.

Transfer errors from the mother tongue are predictable and systematic, so they are treated by targeted practice rather than by labelling the learner weak.

Divisibility, HCF-LCM relation, fraction operations, area and perimeter formulas and the unitary method account for most computational items.

Place-value and borrowing errors dominate diagnostic questions; the remedy is concrete material such as Dienes blocks, not more worksheets of the same kind.

Geometry items follow Van Hiele: identify the learner's level first, then design activities one level above it.

Follow the concrete to semi-concrete to abstract sequence when choosing the best teaching step for a new operation.

The NCF 2005 EVS themes (family and friends, food, shelter, water, travel, things we make and do) organise both content and most question stems.

Factual items concentrate on the water cycle, air composition, food groups and deficiency diseases, plant and animal parts, and adaptation.

Pedagogy items favour observation, field visit, project and local-context TLM over lecture and textbook recitation.

Assessment items require a tool matched to the objective, such as a checklist for observation and a report for project work.