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FREE PREVIEW Week 5-6 3 lessons

Pedagogy of Language, Mathematics and EVS

How children acquire language and how to teach LSRW skills, grammar and remedial reading; how to teach mathematics using concrete materials and Van Hiele levels; and how to teach Environmental Studies through an integrated, activity-based approach.

Lessons in this module

1

Language Learning and Language Pedagogy

Lesson • 5 quiz questions

Read notes ↓
2

Pedagogy of Mathematics

Lesson • 5 quiz questions

Read notes ↓
3

Pedagogy of Environmental Studies (EVS)

Lesson • 5 quiz questions

Read notes ↓

Lesson notes

1. Language Learning and Language Pedagogy

Every KARTET paper has pedagogy questions in Language I and Language II. They test how children learn a language and how a teacher should teach it. This lesson covers language acquisition theories, the four skills, grammar teaching, remedial teaching and assessment of language.

How children acquire language

  • Noam Chomsky: humans are born with a Language Acquisition Device (LAD), an inborn ability to learn language. He also spoke of a Universal Grammar shared by all languages.
  • Behaviourists (Skinner) said language is learned by imitation and reinforcement. Chomsky disagreed, noting that children create sentences they have never heard.
  • Vygotsky stressed social interaction. Piaget said language develops along with thinking.
  • Acquisition is natural and unconscious, as with the mother tongue. Learning is conscious study of rules, often for a second language.
  • Stephen Krashen gave five hypotheses: acquisition-learning, monitor, natural order, input (comprehensible input, 'i + 1') and affective filter (anxiety blocks language acquisition).
  • A rich, print-rich and stress-free environment helps language acquisition. Children's home language is a resource, not a barrier (multilingualism as a resource, NCF 2005).

The four skills: LSRW

  • Listening and Reading are receptive skills. Speaking and Writing are productive skills.
  • The usual order in which the skills develop is Listening, Speaking, Reading, Writing.
  • Reading for meaning matters more than reading aloud. Skimming is reading quickly for the main idea; scanning is searching for specific information.
  • Writing should be a process: plan, draft, revise and edit, not just copying from the board.
  • Activities: storytelling, rhymes, role play, discussions, picture reading, reading corners and children's literature.

Grammar, errors and remedial teaching

  • Inductive (functional) grammar teaching: give examples in context first, let learners find the rule. Recommended for school learners.
  • Deductive grammar teaching: state the rule first, then give examples.
  • Methods: Grammar-Translation method (translation and rules), Direct method (only target language, no translation), Communicative Language Teaching (real use and meaning).
  • Errors are a natural part of learning and show the learner's current understanding. The teacher should not over-correct in a way that kills confidence.
  • Remedial teaching is given after diagnosis, to help learners overcome specific difficulties, using different methods and materials.
  • Language assessment should be continuous and test real use of language (speaking, comprehension of unseen texts, creative writing), not just memorised answers.
Quick facts
Chomsky
LAD, Universal Grammar
Krashen
Comprehensible input i+1, affective filter
Receptive skills
Listening, Reading
Productive skills
Speaking, Writing
Skimming
Main idea quickly
Scanning
Specific information
Inductive grammar
Examples first, then rule

💡 If a question asks how to teach grammar to young learners, choose the option that teaches grammar in context, through examples and use, not by memorising rules.

📝 5-question quiz on this lesson: enrol free to take it and track your score.

2. Pedagogy of Mathematics

Many children fear mathematics, but good teaching can make it enjoyable. NCF 2005 says the main goal of school maths is 'mathematisation' of the child's thinking, not just calculation. This lesson covers the CPA approach, Van Hiele levels, errors, maths anxiety and manipulatives.

Nature of mathematics and the CPA approach

  • Mathematics deals with abstract ideas, patterns, logic and relationships. It builds step by step, so earlier concepts must be clear.
  • Concrete-Pictorial-Abstract (CPA): first use real objects (concrete), then pictures and drawings (pictorial), then numbers and symbols (abstract).
  • The CPA approach is based on Bruner's enactive, iconic and symbolic modes.
  • Link maths to daily life: shopping, measuring, cooking, sharing, travel and games.
  • Children should talk about their reasoning. More than one method to solve a problem should be accepted.

Van Hiele levels of geometric thinking

  • Pierre and Dina van Hiele described how children's geometric thinking develops through levels in sequence.
  • Level 0, Visualisation: the child recognises shapes by their overall appearance ('it looks like a door, so it is a rectangle').
  • Level 1, Analysis: the child describes shapes by their properties (a rectangle has four right angles and opposite sides equal).
  • Level 2, Informal deduction (abstraction): the child sees relationships between properties and shapes (every square is a rectangle).
  • Level 3, Deduction: formal proofs. Level 4, Rigour: comparing different axiom systems.
  • Movement between levels depends more on teaching and experience than on age.

Errors, anxiety and manipulatives

  • Children's errors are a window into their thinking. Analysing errors helps the teacher find the misconception (for example, subtracting the smaller digit from the larger in every column).
  • Errors should be used for learning and remedial teaching, not only marked wrong.
  • Maths anxiety is fear or tension about maths. It is reduced by a friendly class, no public shaming, games, and focus on understanding over speed.
  • Manipulatives: bundles of sticks, beads, abacus, Dienes blocks (base-ten blocks), geoboards, tangrams, fraction strips, number lines.
  • Assessment in maths should check understanding, reasoning and problem solving, not just correct final answers.
Quick facts
CPA
Concrete, Pictorial, Abstract
Van Hiele Level 0
Visualisation
Van Hiele Level 1
Analysis of properties
Van Hiele Level 2
Informal deduction
Dienes blocks
Place value
Geoboard, tangram
Geometry, shapes
Mathematisation
NCF 2005 main goal of school maths

💡 When a question shows a student's wrong answer, look for the pattern behind it. TET usually expects the teacher to find the misconception and use concrete materials to re-teach, not to punish or give more drill.

📝 5-question quiz on this lesson: enrol free to take it and track your score.

3. Pedagogy of Environmental Studies (EVS)

Environmental Studies (EVS) is a section of KARTET Paper I (for Classes 1 to 5 teachers). In the NCF 2005 scheme it is a separate subject in Classes 3 to 5. EVS helps children understand their natural, social and cultural surroundings. This lesson covers the meaning and scope of EVS, its integrated nature, NCERT themes and suitable teaching approaches.

Concept and scope of EVS

  • EVS for Classes 3 to 5 integrates science, social science and environmental education into one subject.
  • NCF 2005 recommends EVS as an integrated subject at the primary level, not separate science and social science.
  • In Classes 1 and 2, environmental ideas are taught through language and mathematics, not as a separate EVS subject (as per NCF 2005).
  • EVS starts from the child's own surroundings and experiences: home, family, school, neighbourhood and local nature.
  • It aims to build curiosity, observation, sensitivity to the environment, and respect for diversity and other people.

NCERT EVS themes for Classes 3 to 5

  • The NCERT EVS syllabus (based on NCF 2005) is organised around six themes.
  • Family and Friends, with sub-themes: Relationships, Work and Play, Animals, and Plants.
  • Food, Shelter and Water.
  • Travel, and Things We Make and Do.
  • Themes are planned from the child's point of view, moving from self and family outward to the wider world.
  • The syllabus raises issues like gender, disability, caste and poverty in a sensitive way through stories and narratives.

How to teach EVS

  • Activity-based and experiential learning: observation, simple experiments, drawing, measuring, collecting leaves, and recording.
  • Field trips and excursions to a pond, market, farm, post office or park give first-hand experience. Plan, visit, then discuss and record.
  • Discussion, storytelling, role play, projects and surveys (for example, a survey of water sources in the village).
  • Use local examples and children's home knowledge. Questions from children are welcome and should be encouraged.
  • Assessment in EVS should check skills like observing, classifying, explaining, questioning, recording and concern for justice and equality, not only recall of facts.
  • Textbooks are not the only source. Elders, community members, newspapers and the local environment are learning resources.
Quick facts
EVS classes (NCF 2005)
Separate subject in Classes 3 to 5
Integrated EVS
Science + social science + environmental education
Classes 1-2
Environment taught through language and maths
NCERT EVS themes
Six themes, from 'Family and Friends' to 'Things We Make and Do'
Field trip
First-hand experience
EVS assessment
Observation, classification, questioning, not just recall

💡 For EVS pedagogy questions, the answer is usually the one that links learning to the child's own surroundings and experiences, through activities and discussion, rather than memorising definitions.

📝 5-question quiz on this lesson: enrol free to take it and track your score.

Other modules in KARTET Prep: Karnataka Teacher Eligibility Test (Paper I & II)

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