REET Level 1 cheat sheet

Piaget's stages: sensorimotor (0–2, object permanence), preoperational (2–7, egocentrism, symbolic play, no conservation), concrete operational (7–11, conservation, reversibility, seriation, classification), formal operational (11+, abstract and hypothetical reasoning).

A child aged 6–11 is normally in Piaget's concrete operational stage, so teaching must use concrete objects, pictures and first-hand activity before symbols and verbal rules.

Vygotsky: learning is social; the Zone of Proximal Development is the gap between independent and assisted performance; scaffolding is graded support that is withdrawn as competence grows; egocentric speech becomes inner speech.

Learning theories: Pavlov = classical conditioning (stimulus association); Skinner = operant conditioning (reinforcement and punishment shape behaviour); Thorndike = trial and error with laws of readiness, exercise and effect; Kohler = insight learning; Bandura = observational learning through modelling.

Erikson's psychosocial stages relevant to school: initiative versus guilt (3–6) and industry versus inferiority (6–12), which means success in tasks and recognition from peers and teachers matters most at primary age.

Kohlberg's moral development: pre-conventional (punishment-obedience, instrumental exchange), conventional (good boy–good girl, law and order), post-conventional (social contract, universal ethical principle); primary children are usually pre-conventional to early conventional.

RTE Act 2009: free and compulsory education for ages 6–14 in a neighbourhood school; no capitation fee or screening; 25% seats for EWS and disadvantaged groups; no detention or expulsion; no board examination until elementary completion; pupil-teacher ratio 30:1 at primary and 35:1 at upper primary; School Management Committee in every school.

RPwD Act 2016 recognises 21 disabilities (including autism, specific learning disability, cerebral palsy, deaf-blindness, multiple sclerosis, thalassaemia) and mandates inclusive education, reasonable accommodation and a Unique Disability Identity card.

Assessment tools for primary classes: observation schedule, anecdotal record, checklist, rating scale, portfolio, rubric, peer and self assessment; formative assessment gives feedback during teaching, summative assessment judges achievement at the end. IQ = (mental age ÷ chronological age) × 100.

Natural order of language skills is LSRW - listening, speaking, reading, writing: oral work precedes reading, and reading precedes independent writing at the primary stage.

Reading types: skimming (gist, fast), scanning (specific information), intensive reading (short text, close study of vocabulary and grammar), extensive reading (long easy text for fluency and pleasure), loud reading (checks pronunciation) versus silent reading (checks comprehension).

Reading models: bottom-up (letter to sound to word to meaning, needed for decoding), top-down (meaning and prior knowledge or schema drive the reading), interactive (both operate together, and is the most defensible classroom position).

Teaching approaches: grammar-translation (rules plus translation, little speech), direct method (target language only, no translation), audio-lingual (pattern drills, habit formation), communicative language teaching (real functions and interaction), task-based (language used to complete a task), bilingual method (judicious use of the first language).

Grammar teaching: deductive = rule stated first, then examples and practice; inductive = examples first, learners generalise and state the rule; descriptive grammar records actual usage while prescriptive grammar lays down norms; functional grammar relates form to communicative purpose.

Hindi grammar essentials: संज्ञा (व्यक्ति/जाति/भाव/द्रव्य), सर्वनाम, विशेषण, क्रिया, क्रियाविशेषण; लिंग और वाचन; 8 कारक (कर्ता, कर्म, करण, सम्प्रदान, अपादान, सम्बन्ध, अधिकरण, सम्बोधन); काल (वर्तमान, भूत, भविष्य); उपसर्ग और प्रत्यय; संधि (स्वर, व्यंजन, विसर्ग); समास के छह भेद (तत्पुरुष, कर्मधारय, द्विगु, द्वंद्व, बहुव्रीहि, अव्ययीभाव).

Sanskrit teaching focus: धातु and लकार (लट्, लृट्, लङ्, लिङ्, लोट्), सुबन्त रूप and अष्ट विभक्ति (प्रथमा to सम्बोधन), सन्धि and समास, and oral recitation with meaning before grammatical analysis.

Error analysis views learner errors, especially overgeneralisation and L1 interference, as evidence of an interlanguage in progress; contrastive analysis predicts errors by comparing the two language systems.

Language assessment tools: cloze test, dictation, oral reading fluency, retelling, picture description, role play, portfolio and writing rubric; multilingualism and the three-language formula are treated as classroom resources, not deficits.

Krashen's five hypotheses: acquisition-learning distinction (subconscious acquisition versus conscious learning), natural order, monitor (learned rules edit output only when time and focus allow), input (comprehensible input i + 1), and affective filter (anxiety and low motivation block intake).

Cummins: BICS (basic interpersonal communicative skills) is context-embedded and develops in about two years; CALP (cognitive academic language proficiency) is context-reduced and takes five to seven years, so a fluent-sounding learner may still be far behind in academic reading and writing.

Second-language transfer: positive transfer helps where the two systems match; interference produces errors in word order, articles, prepositions, tenses and sounds, and can be predicted partly by contrastive analysis.

Communicative competence (Hymes; elaborated by Canale and Swain) has grammatical, sociolinguistic, discourse and strategic components; communicative language teaching therefore assesses fluency and task achievement, not only accuracy.

Classroom methods: direct method (target language only), audio-lingual method (mimicry, memorisation, pattern drills), total physical response (commands plus action), communicative approach (information gap, pair work), task-based learning (pre-task, task, planning, report).

Vocabulary teaching: contextual guessing, word formation (prefix, suffix, root), cognates, visual and realia support, and spaced retrieval practice beat memorising unconnected word lists.

Assessment: discrete-point tests (one item, one element) versus integrative tests (cloze, dictation, comprehension, role play, project); oral tests should be rated on agreed criteria such as fluency, accuracy, pronunciation and task completion, preferably with a rubric.

Feedback rule: correct global errors that block meaning immediately and selective errors otherwise; frequent interruption of a speaking task raises the affective filter and reduces fluency.

Indian place value chart: ones, tens, hundreds, thousands, ten thousand, lakh, ten lakh, crore, with period names units–thousands–lakhs–crores; international chart uses ones–thousands–millions–billions; expanded form is 4,275 = 4 × 1000 + 2 × 100 + 7 × 10 + 5.

Divisibility tests: 2 (even last digit), 3 (digit sum divisible by 3), 4 (last two digits divisible by 4), 5 (last digit 0 or 5), 6 (divisible by both 2 and 3), 8 (last three digits divisible by 8), 9 (digit sum divisible by 9), 10 (last digit 0), 11 (alternating digit-sum difference divisible by 11).

HCF × LCM = product of two numbers, so when HCF and one number are known, LCM = (a × b) ÷ HCF; the identity does not extend directly to three numbers. Prime factorisation gives both: HCF is the product of lowest common powers, LCM of highest powers.

Fractions and decimals: a/b + c/d uses the LCM denominator; decimal to fraction and fraction to percentage conversions; percentage of a quantity = (percent ÷ 100) × quantity.

Commercial arithmetic at primary level: unitary method, ratio and proportion, average = sum ÷ number of observations, simple interest SI = P × R × T ÷ 100, profit% and loss% calculated on cost price.

Geometry facts: acute < 90°, right = 90°, obtuse between 90° and 180°, straight = 180°; complementary angles sum to 90°, supplementary to 180°; angle sum of a triangle is 180°, exterior angle equals the sum of the two opposite interior angles; angle sum of a quadrilateral is 360°.

Mensuration formulas: rectangle perimeter 2(l + b) and area l × b; square perimeter 4a and area a²; triangle area ½ × base × height; parallelogram area b × h; circle area πr² and circumference 2πr; cuboid volume l × b × h with surface area 2(lb + bh + hl); cube volume a³; cylinder volume πr²h.

Van Hiele levels of geometric thinking, in fixed order: visualisation, analysis, informal deduction, formal deduction, rigour - primary pupils typically work at levels 1 and 2, so properties are discovered from actual shapes, not from deduction.

Pedagogy: concrete–pictorial–abstract (CPA) sequence with Dienes blocks, geoboard, tangram and number line; Polya's four steps of problem solving (understand, plan, carry out, look back); NCF 2005 aim is mathematisation of the child's thought; learner errors should be diagnosed as procedures or misconceptions, not treated as carelessness.

EVS at primary stage integrates science, social studies and environmental education; NCF 2005 organises it around themes - family and friends, food, shelter, water, travel, and things we make and do.

EVS pedagogy is child-centred, theme-based and process-oriented: observation, exploration, questioning, field visits, hands-on activities, surveys, projects and local resources, with the environment used as a learning resource rather than only as textbook content.

Food and nutrition: carbohydrates give energy, proteins build the body, fats give stored energy, vitamins and minerals protect and regulate, water and roughage aid transport and digestion; deficiency diseases include night blindness (vitamin A), scurvy (vitamin C), rickets (vitamin D), beri-beri (vitamin B1) and anaemia (iron).

Plants: leaf makes food by photosynthesis using sunlight, water and carbon dioxide; roots absorb water and minerals; stem conducts; stomata and transpiration pull water upward; dispersal agents are wind, water, animals and explosion.

Animal adaptations: camel (hump storing fat, long legs, urine concentration) for desert, fish (gills, streamlined body, scales) for water, polar bear (thick fur and fat) and yak or snow leopard for cold, and camouflage for protection; food chain runs producer to herbivore to carnivore with decomposers closing the loop.

Water: sources (rain, rivers, lakes, wells, groundwater), water cycle of evaporation, transpiration, condensation, precipitation and run-off, purification by boiling, filtering or chlorination, rainwater harvesting for recharge, and water-borne diseases such as cholera, typhoid and diarrhoea.

Earth and space: the Earth rotates on its tilted axis in about 24 hours causing day and night, and revolves around the Sun in about 365¼ days causing seasons; the solar system order from the Sun is Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune; moon phases and eclipses follow from these motions.

India's physical divisions: Himalayas, northern plains, peninsular plateau, Thar desert, coastal plains and islands, with major rivers (Ganga, Brahmaputra, Godavari, Krishna, Kaveri, Narmada, Tapti) and monsoon-driven agriculture.

Assessment in EVS relies on observation schedules, anecdotal records, project and field-visit reports, drawings, portfolios and oral questioning about processes and reasoning; rote recall of facts alone is not a valid measure of EVS learning.