KARNATAKA SCHOOL EDUCATION DEPARTMENT
6–8 GPT ಗಣಿತ ಮತ್ತು ವಿಜ್ಞಾನ
Reference Books & Study Material
PAPER – 2 GPT (MATHEMATICS AND SCIENCE)
ಅಧಿಕೃತ Reference Books + Study Material + Syllabus Guide
📚 ಈ ಪೋಸ್ಟ್ನಲ್ಲಿ ಏನಿದೆ?
6–8 GPT ನೇಮಕಾತಿ ಪರೀಕ್ಷೆಯ Paper–2 ಅಡಿಯಲ್ಲಿ ಗಣಿತ ಮತ್ತು ವಿಜ್ಞಾನ ವಿಷಯಗಳಿಗೆ ಸಂಬಂಧಿಸಿದಂತೆ ಕರ್ನಾಟಕ ಶಾಲಾ ಶಿಕ್ಷಣ ಇಲಾಖೆಯ ಅಧಿಕೃತ ದಾಖಲೆಯಲ್ಲಿ ನೀಡಿರುವ Reference Books ಮತ್ತು Study Material ಮಾಹಿತಿಯನ್ನು ಇಲ್ಲಿ ಮುಖ್ಯವಾಗಿ ಸಂಗ್ರಹಿಸಲಾಗಿದೆ.
Reference Books ಪಟ್ಟಿಯ ಜೊತೆಗೆ, ಅಭ್ಯರ್ಥಿಗಳು ಆ ಪುಸ್ತಕಗಳನ್ನು ಯಾವ ರೀತಿಯಲ್ಲಿ ಬಳಸಬಹುದು, ಯಾವ ವಿಷಯಗಳಿಗೆ ಹೆಚ್ಚು ಒತ್ತು ನೀಡಬೇಕು ಮತ್ತು ಅಧಿಕೃತ ಪಠ್ಯಕ್ರಮವನ್ನು ಪುಸ್ತಕಗಳೊಂದಿಗೆ ಹೇಗೆ ಸಂಪರ್ಕಿಸಬೇಕು ಎಂಬುದನ್ನು ಸುಲಭವಾಗಿ ಅರ್ಥಮಾಡಿಕೊಳ್ಳುವಂತೆ ಈ ಪೋಸ್ಟ್ ಅನ್ನು ಸಿದ್ಧಪಡಿಸಲಾಗಿದೆ.
ಗಮನಿಸಿ: ಕೆಳಗಿನ Reference Books ಪಟ್ಟಿಗಳು PDFನಲ್ಲಿ ನೀಡಿರುವ ಅಧಿಕೃತ ಪಟ್ಟಿಯನ್ನು ಆಧರಿಸಿವೆ. ಹೆಚ್ಚುವರಿಯಾಗಿ ನೀಡಿರುವ preparation suggestions ಮಾತ್ರ ಅಭ್ಯರ್ಥಿಗಳ ಅನುಕೂಲಕ್ಕಾಗಿ.
📌 ತ್ವರಿತ ವಿಭಾಗಗಳು
📌 ಅಭ್ಯರ್ಥಿಗಳಿಗೆ ಮುಖ್ಯ ಮಾಹಿತಿ
ಈ PDFನಲ್ಲಿ Mathematics ಮತ್ತು Science ಎರಡೂ ವಿಭಾಗಗಳಿಗೆ ಪ್ರತ್ಯೇಕವಾಗಿ Reference Books ನೀಡಲಾಗಿದೆ. ಆದ್ದರಿಂದ ಕೇವಲ ಸಾಮಾನ್ಯ competitive-exam books ಮೇಲೆ ಅವಲಂಬಿತರಾಗುವುದಕ್ಕಿಂತ ಅಧಿಕೃತವಾಗಿ ಸೂಚಿಸಿರುವ textbooks ಮತ್ತು teacher-education materials ಅನ್ನು ಮೊದಲ ಆದ್ಯತೆಯಲ್ಲಿ ಓದುವುದು ಹೆಚ್ಚು ಉಪಯುಕ್ತವಾಗಿರುತ್ತದೆ.
ವಿಶೇಷವಾಗಿ Mathematics ವಿಭಾಗದಲ್ಲಿ Karnataka State Board ಮತ್ತು NCERT textbooks, LBA material ಹಾಗೂ Mathematics teaching methodologyಗೆ ಸಂಬಂಧಿಸಿದ ಪುಸ್ತಕಗಳನ್ನು ಬಳಸಲು ಸೂಚಿಸಲಾಗಿದೆ. Science ವಿಭಾಗದಲ್ಲಿ KTBS, NCERT/ICSE, H.C. Verma, Science pedagogy materials, NCF-SE 2023 ಮತ್ತು NEP 2020 ಪ್ರಮುಖ reference sources ಆಗಿವೆ.
📘 ಗಣಿತ — ಅಧಿಕೃತ Reference Books
ಕರ್ನಾಟಕ ಶಿಕ್ಷಣ ಇಲಾಖೆಯ PDFನಲ್ಲಿ ಗಣಿತ ವಿಷಯಕ್ಕೆ ನೀಡಿರುವ
Reference Books:
1. Karnataka State Board Mathematics Text Books
5ನೇ ತರಗತಿಯಿಂದ 10ನೇ ತರಗತಿಯವರೆಗೆ Karnataka State Board Mathematics textbooks.
5ನೇ ತರಗತಿಯಿಂದ 10ನೇ ತರಗತಿಯವರೆಗೆ Karnataka State Board Mathematics textbooks.
2. NCERT Mathematics Text Books
5ನೇ ತರಗತಿಯಿಂದ 10ನೇ ತರಗತಿಯವರೆಗೆ NCERT Mathematics textbooks.
5ನೇ ತರಗತಿಯಿಂದ 10ನೇ ತರಗತಿಯವರೆಗೆ NCERT Mathematics textbooks.
3. Karnataka Elementary Teacher Education Curriculum 2016
Diploma in Elementary Education (D.El.Ed) curriculum.
Diploma in Elementary Education (D.El.Ed) curriculum.
4. Lesson Based Assessment (LBA) Material by DSERT
DSERT ವತಿಯಿಂದ ನೀಡಲಾದ Lesson Based Assessment material.
DSERT ವತಿಯಿಂದ ನೀಡಲಾದ Lesson Based Assessment material.
5. Karnataka State Board 11th and 12th PU Mathematics Text Books
11ನೇ ಮತ್ತು 12ನೇ ತರಗತಿಯ PU Mathematics textbooks.
11ನೇ ಮತ್ತು 12ನೇ ತರಗತಿಯ PU Mathematics textbooks.
✅ ಗಣಿತದಲ್ಲಿ ಮೊದಲು ಓದಬೇಕಾದ Reference Sources
✓ Karnataka State Board Mathematics — 5ರಿಂದ 10ನೇ ತರಗತಿ
✓ NCERT Mathematics — 5ರಿಂದ 10ನೇ ತರಗತಿ
✓ D.El.Ed Curriculum
✓ DSERT LBA Material
✓ 11ನೇ–12ನೇ PU Mathematics
✓ Mathematics Teaching Methodology
🎯 ಗಣಿತ Reference Books ಅನ್ನು ಹೇಗೆ ಬಳಸಬೇಕು?
1. ಮೊದಲು School Textbooks:
5ರಿಂದ 10ನೇ ತರಗತಿಯ Karnataka State Board Mathematics textbooks ಅನ್ನು ಮೂಲ ಅಧ್ಯಯನ ವಸ್ತುವಾಗಿ ತೆಗೆದುಕೊಳ್ಳಿ.
5ರಿಂದ 10ನೇ ತರಗತಿಯ Karnataka State Board Mathematics textbooks ಅನ್ನು ಮೂಲ ಅಧ್ಯಯನ ವಸ್ತುವಾಗಿ ತೆಗೆದುಕೊಳ್ಳಿ.
2. ನಂತರ NCERT:
ಅದೇ concepts ಅನ್ನು NCERT textbooks ಮೂಲಕ ಮತ್ತೊಮ್ಮೆ ಅರ್ಥಮಾಡಿಕೊಳ್ಳಿ. Concept clarity ಮತ್ತು alternative problem-solving approachesಗೆ ಇದು ಸಹಾಯಕವಾಗಬಹುದು.
ಅದೇ concepts ಅನ್ನು NCERT textbooks ಮೂಲಕ ಮತ್ತೊಮ್ಮೆ ಅರ್ಥಮಾಡಿಕೊಳ್ಳಿ. Concept clarity ಮತ್ತು alternative problem-solving approachesಗೆ ಇದು ಸಹಾಯಕವಾಗಬಹುದು.
3. Higher-level Mathematics:
11ನೇ ಮತ್ತು 12ನೇ PU Mathematics textbooks ಅನ್ನು higher-level concepts, algebra, trigonometry, analytical geometry ಮುಂತಾದ ವಿಷಯಗಳಿಗೆ ಬಳಸಬಹುದು.
11ನೇ ಮತ್ತು 12ನೇ PU Mathematics textbooks ಅನ್ನು higher-level concepts, algebra, trigonometry, analytical geometry ಮುಂತಾದ ವಿಷಯಗಳಿಗೆ ಬಳಸಬಹುದು.
4. Pedagogy:
ಗಣಿತವನ್ನು ಹೇಗೆ ಬೋಧಿಸಬೇಕು, teaching approaches, assessment ಮತ್ತು classroom strategies ಕುರಿತು D.El.Ed ಹಾಗೂ LBA material ಅನ್ನು ಪ್ರತ್ಯೇಕವಾಗಿ ಓದಿ.
ಗಣಿತವನ್ನು ಹೇಗೆ ಬೋಧಿಸಬೇಕು, teaching approaches, assessment ಮತ್ತು classroom strategies ಕುರಿತು D.El.Ed ಹಾಗೂ LBA material ಅನ್ನು ಪ್ರತ್ಯೇಕವಾಗಿ ಓದಿ.
5. Practice:
ಪ್ರತಿ chapter ಓದಿದ ನಂತರ textbook exercises, examples ಮತ್ತು ನಿಮ್ಮದೇ practice questions ಮೂಲಕ revision ಮಾಡಿ.
ಪ್ರತಿ chapter ಓದಿದ ನಂತರ textbook exercises, examples ಮತ್ತು ನಿಮ್ಮದೇ practice questions ಮೂಲಕ revision ಮಾಡಿ.
🔬 ವಿಜ್ಞಾನ — ಅಧಿಕೃತ Reference Books
PDFನಲ್ಲಿ Science ವಿಭಾಗಕ್ಕೆ ನೀಡಿರುವ Reference Books:
1. KTBS Text Books of Science
1ನೇ ತರಗತಿಯಿಂದ 10ನೇ ತರಗತಿಯವರೆಗೆ KTBS Science textbooks.
1ನೇ ತರಗತಿಯಿಂದ 10ನೇ ತರಗತಿಯವರೆಗೆ KTBS Science textbooks.
2. NCERT and ICSE Text Books
6ನೇ ತರಗತಿಯಿಂದ 12ನೇ ತರಗತಿಯವರೆಗೆ NCERT ಮತ್ತು ICSE textbooks.
6ನೇ ತರಗತಿಯಿಂದ 12ನೇ ತರಗತಿಯವರೆಗೆ NCERT ಮತ್ತು ICSE textbooks.
3. Concepts of Physics — H. C. Verma
Part 1 ಮತ್ತು Part 2.
Part 1 ಮತ್ತು Part 2.
4. Pedagogy of Teaching Sciences
NCERT ಮತ್ತು IGNOU ವತಿಯಿಂದ ಲಭ್ಯವಿರುವ Science pedagogy materials.
NCERT ಮತ್ತು IGNOU ವತಿಯಿಂದ ಲಭ್ಯವಿರುವ Science pedagogy materials.
5. NCF-SE 2023 Document
National Curriculum Framework for School Education 2023.
National Curriculum Framework for School Education 2023.
6. NEP 2020 Document
National Education Policy 2020.
National Education Policy 2020.
✅ ವಿಜ್ಞಾನದಲ್ಲಿ ಪ್ರಮುಖ Reference Sources
✓ KTBS Science — 1ರಿಂದ 10ನೇ ತರಗತಿ
✓ NCERT / ICSE — 6ರಿಂದ 12ನೇ ತರಗತಿ
✓ H. C. Verma — Concepts of Physics
✓ NCERT / IGNOU Science Pedagogy
✓ NCF-SE 2023
✓ NEP 2020
🎯 Science Reference Books ಅನ್ನು ಹೇಗೆ ಬಳಸಬೇಕು?
1. KTBS + NCERT:
ಮೊದಲು school-level concepts ಅನ್ನು KTBS ಮತ್ತು NCERT textbooks ಮೂಲಕ ಬಲಪಡಿಸಿ.
ಮೊದಲು school-level concepts ಅನ್ನು KTBS ಮತ್ತು NCERT textbooks ಮೂಲಕ ಬಲಪಡಿಸಿ.
2. Physics:
Physics ಭಾಗದಲ್ಲಿ concepts, formulas ಮತ್ತು numerical applicationsಗೆ H. C. Verma ಅನ್ನು supplementary reference ಆಗಿ ಬಳಸಬಹುದು.
Physics ಭಾಗದಲ್ಲಿ concepts, formulas ಮತ್ತು numerical applicationsಗೆ H. C. Verma ಅನ್ನು supplementary reference ಆಗಿ ಬಳಸಬಹುದು.
3. Science Pedagogy:
Science teaching methods, inquiry-based learning, learner-centred approaches ಮತ್ತು assessment ಮುಂತಾದ ವಿಷಯಗಳಿಗೆ NCERT/IGNOU pedagogy material ಓದಿ.
Science teaching methods, inquiry-based learning, learner-centred approaches ಮತ್ತು assessment ಮುಂತಾದ ವಿಷಯಗಳಿಗೆ NCERT/IGNOU pedagogy material ಓದಿ.
4. Curriculum Documents:
NCF-SE 2023 ಮತ್ತು NEP 2020 documents ಅನ್ನು pedagogy ಮತ್ತು contemporary education perspectivesಗೆ reference ಆಗಿ ಓದಿ.
NCF-SE 2023 ಮತ್ತು NEP 2020 documents ಅನ್ನು pedagogy ಮತ್ತು contemporary education perspectivesಗೆ reference ಆಗಿ ಓದಿ.
📝 Reference Books + Syllabus — Smart Study Plan
Reference Books ಪಟ್ಟಿಯನ್ನು ಕೇವಲ download ಮಾಡಿ ಇಟ್ಟುಕೊಳ್ಳುವುದಕ್ಕಿಂತ, ಅದನ್ನು ಅಧಿಕೃತ syllabus ಜೊತೆಗೆ ಸಂಪರ್ಕಿಸಿ ಓದುವುದು ಉತ್ತಮ.
Step 1 — Syllabus Mapping:
ಮೊದಲು syllabusನ topic ಅನ್ನು ಗುರುತಿಸಿ.
ಮೊದಲು syllabusನ topic ಅನ್ನು ಗುರುತಿಸಿ.
Step 2 — Primary Textbook:
ಆ topicಗೆ ಸಂಬಂಧಿಸಿದ Karnataka State Board ಅಥವಾ KTBS textbook chapter ಓದಿ.
ಆ topicಗೆ ಸಂಬಂಧಿಸಿದ Karnataka State Board ಅಥವಾ KTBS textbook chapter ಓದಿ.
Step 3 — NCERT:
ಅದೇ concept ಅನ್ನು NCERT textbookನಲ್ಲಿ cross-check ಮಾಡಿ.
ಅದೇ concept ಅನ್ನು NCERT textbookನಲ್ಲಿ cross-check ಮಾಡಿ.
Step 4 — Advanced Reference:
ಅಗತ್ಯವಿರುವ ವಿಷಯಗಳಲ್ಲಿ PU Mathematics ಅಥವಾ H. C. Verma ಮುಂತಾದ higher-level references ಬಳಸಿ.
ಅಗತ್ಯವಿರುವ ವಿಷಯಗಳಲ್ಲಿ PU Mathematics ಅಥವಾ H. C. Verma ಮುಂತಾದ higher-level references ಬಳಸಿ.
Step 5 — Pedagogy:
ವಿಷಯದ knowledge ನಂತರ ಅದನ್ನು ಮಕ್ಕಳಿಗೆ ಹೇಗೆ ಕಲಿಸಬೇಕು, ಯಾವ teaching method ಬಳಸಬೇಕು ಮತ್ತು assessment ಹೇಗೆ ಮಾಡಬೇಕು ಎಂಬುದನ್ನು ಓದಿ.
ವಿಷಯದ knowledge ನಂತರ ಅದನ್ನು ಮಕ್ಕಳಿಗೆ ಹೇಗೆ ಕಲಿಸಬೇಕು, ಯಾವ teaching method ಬಳಸಬೇಕು ಮತ್ತು assessment ಹೇಗೆ ಮಾಡಬೇಕು ಎಂಬುದನ್ನು ಓದಿ.
Step 6 — Revision:
ಪ್ರತಿ topicಗೆ short notes, formulas, definitions, important concepts ಮತ್ತು pedagogy points ತಯಾರಿಸಿ.
ಪ್ರತಿ topicಗೆ short notes, formulas, definitions, important concepts ಮತ್ತು pedagogy points ತಯಾರಿಸಿ.
➗ ಗಣಿತ ಪಠ್ಯಕ್ರಮ — Mathematics Syllabus
ಕೆಳಗಿನ ವಿಭಾಗವು ಅಧಿಕೃತ PDFನ Mathematics syllabus ಅನ್ನು reference purposeಗಾಗಿ ಸಂಕ್ಷಿಪ್ತವಾಗಿ ವ್ಯವಸ್ಥಿತಗೊಳಿಸುತ್ತದೆ.
1–10: Number System ರಿಂದ Factors & Factorisation
1. Number System
Early number systems, number lines, number patterns, natural numbers, whole numbers, integers, rational numbers, irrational numbers, real numbers, complex numbers, fundamental theorem of arithmetic, HCF and LCM.
Early number systems, number lines, number patterns, natural numbers, whole numbers, integers, rational numbers, irrational numbers, real numbers, complex numbers, fundamental theorem of arithmetic, HCF and LCM.
2. Fractions and Decimals
Types, basic operations, conversion and applications in daily life.
Types, basic operations, conversion and applications in daily life.
3. Square and Square Roots; Cube and Cube Roots
Square and square roots, cube and cube roots.
Square and square roots, cube and cube roots.
4. Data Handling
Types of data, measures of central tendency, pictorial representation, measures of dispersion, variance, Linear Programming Problem.
Types of data, measures of central tendency, pictorial representation, measures of dispersion, variance, Linear Programming Problem.
5. Proportional Reasoning
Ratio, proportions, types, direct proportion, inverse proportions and applications in daily life.
Ratio, proportions, types, direct proportion, inverse proportions and applications in daily life.
6. Mathematics in Daily Life
Percentage, profit and loss, discount, simple interest, compound interest, sales tax, VAT, GST and mathematics in daily life.
Percentage, profit and loss, discount, simple interest, compound interest, sales tax, VAT, GST and mathematics in daily life.
7. Basic Algebra
Basics of algebra, algebraic expressions, operations on algebraic expressions and identities.
Basics of algebra, algebraic expressions, operations on algebraic expressions and identities.
8. Equations
Types of equations, linear equation in one variable and two variables, pair of linear equations in two variables, applications in daily life, graphs and quadratic equations.
Types of equations, linear equation in one variable and two variables, pair of linear equations in two variables, applications in daily life, graphs and quadratic equations.
9. Exponents and Powers
Exponents and powers, scientific notation.
Exponents and powers, scientific notation.
10. Factors and Factorisations
Factors, factorisation, HCF and LCM.
Factors, factorisation, HCF and LCM.
11–24: Polynomials, Geometry, Mensuration, Probability & Sets
11. Polynomials
Types of polynomials, value of a polynomial, zeros of polynomials, factor theorem and remainder theorem.
Types of polynomials, value of a polynomial, zeros of polynomials, factor theorem and remainder theorem.
12. Introduction to Euclid’s Geometry
Axioms, postulates, definitions and statements.
Axioms, postulates, definitions and statements.
13. Lines and Angles
Lines and angles.
Lines and angles.
14. Triangles
Definition, types, properties, congruency, theorems, exterior angle theorem, angle-sum properties, concurrent lines and Baudhayana–Pythagoras theorem.
Definition, types, properties, congruency, theorems, exterior angle theorem, angle-sum properties, concurrent lines and Baudhayana–Pythagoras theorem.
15. Quadrilaterals
Definition, types, properties, area, perimeter and related theorems.
Definition, types, properties, area, perimeter and related theorems.
16. Circles
Basic concepts, theorems, area and perimeter, angles in circles, cyclic quadrilaterals, chord, secant, tangent and related area problems.
Basic concepts, theorems, area and perimeter, angles in circles, cyclic quadrilaterals, chord, secant, tangent and related area problems.
17. Constructions
Construction of angles, triangles, circles, quadrilaterals and their types.
Construction of angles, triangles, circles, quadrilaterals and their types.
18. Visualising Solid Shapes
Visualising solid shapes, fractals and projections.
Visualising solid shapes, fractals and projections.
19. Mensuration
Area and perimeter of 2-dimensional plane figures; surface area and volumes of 3-dimensional solids including cube, cuboid, cylinder, cone, frustum, sphere and hemisphere; combination and conversion of solids.
Area and perimeter of 2-dimensional plane figures; surface area and volumes of 3-dimensional solids including cube, cuboid, cylinder, cone, frustum, sphere and hemisphere; combination and conversion of solids.
20. Probability
Definition, types and daily-life problems.
Definition, types and daily-life problems.
21. Symmetry
Symmetry.
Symmetry.
22. Progressions
AP, GP, HP and means.
AP, GP, HP and means.
23. Trigonometry
Basics, identities, standard angles, complementary angles, inverse functions and applications.
Basics, identities, standard angles, complementary angles, inverse functions and applications.
24. Sets
Sets, relations and functions.
Sets, relations and functions.
25–31: Higher Mathematics Topics
25. Permutations and Combinations
Permutations and combinations.
Permutations and combinations.
26. Analytical Geometry
Equation of a line, circles, conic sections, parabola, ellipse and hyperbola.
Equation of a line, circles, conic sections, parabola, ellipse and hyperbola.
27. Matrices and Determinants
Matrices and determinants.
Matrices and determinants.
28. Binomial Theorems
Binomial theorems.
Binomial theorems.
29. Vectors
Types and operations.
Types and operations.
30. Linear Inequalities
Linear inequalities.
Linear inequalities.
31. Coordinate Geometry
Distance formula, section formula and area of triangle.
Distance formula, section formula and area of triangle.
👨🏫 ಗಣಿತ ಬೋಧನಾಶಾಸ್ತ್ರ — ಮುಖ್ಯ ವಿಭಾಗಗಳು
1. Nature and Scope of Mathematics
Nature, meaning and characteristics of mathematics; mathematical reasoning; geometric thinking including Van Hiele model; axioms, postulates and theorems; converse, inverse and contrapositive; different types of proofs; difference between proof and verification; facts, concepts, generalisations and procedures; aims and objectives of teaching mathematics; disciplinary, utilitarian, cultural, social and recreational aims; objectives of teaching arithmetic, algebra, geometry, trigonometry and coordinate geometry; Anderson’s revised Bloom’s taxonomy and task analysis.
Nature, meaning and characteristics of mathematics; mathematical reasoning; geometric thinking including Van Hiele model; axioms, postulates and theorems; converse, inverse and contrapositive; different types of proofs; difference between proof and verification; facts, concepts, generalisations and procedures; aims and objectives of teaching mathematics; disciplinary, utilitarian, cultural, social and recreational aims; objectives of teaching arithmetic, algebra, geometry, trigonometry and coordinate geometry; Anderson’s revised Bloom’s taxonomy and task analysis.
2. Approaches and Strategies in Teaching and Learning Mathematics
Five-E model: engage, explore, express, expand and evaluate; inductive-deductive approach; analytic-synthetic approach; guided discovery approach; concept attainment model; problem-solving technique; oral and written work; drill work; concept mapping; collaborative learning; cooperative learning; learning together technique and jigsaw technique.
Five-E model: engage, explore, express, expand and evaluate; inductive-deductive approach; analytic-synthetic approach; guided discovery approach; concept attainment model; problem-solving technique; oral and written work; drill work; concept mapping; collaborative learning; cooperative learning; learning together technique and jigsaw technique.
3. Planning for Teaching-Learning and Evaluation
Preparation of unit plan, content selection and analysis, instructional objectives, task analysis, selection of teaching methods, strategies, techniques and models, teaching-learning materials including ICT, evaluation tools and strategies, lesson planning and evaluation. Construction and use of achievement tests in mathematics for summative assessment.
Preparation of unit plan, content selection and analysis, instructional objectives, task analysis, selection of teaching methods, strategies, techniques and models, teaching-learning materials including ICT, evaluation tools and strategies, lesson planning and evaluation. Construction and use of achievement tests in mathematics for summative assessment.
4. Teaching and Learning Resources of Mathematics
Teaching-learning materials; need and importance; selection criteria; preparation and use of charts, boards, models and manipulative materials; blackboard, interactive whiteboards and smartboards; mass media; textbooks; workbooks and worksheets; community and school-based resources; human, natural and man-made resources; Mathematics laboratory; exhibitions and fairs; Mathematics library and reference books; Mathematics club; e-resources; computers, internet, educational CDs, online learning and blogs.
Teaching-learning materials; need and importance; selection criteria; preparation and use of charts, boards, models and manipulative materials; blackboard, interactive whiteboards and smartboards; mass media; textbooks; workbooks and worksheets; community and school-based resources; human, natural and man-made resources; Mathematics laboratory; exhibitions and fairs; Mathematics library and reference books; Mathematics club; e-resources; computers, internet, educational CDs, online learning and blogs.
5. Extended Curricular Activities in Mathematics
Mathematics club, exhibitions/fairs, Mathematics Olympiad and Mathematics quiz; gifted children; slow learners; learning difficulties including dyscalculia and dysgraphia; remedial programmes; action research.
Mathematics club, exhibitions/fairs, Mathematics Olympiad and Mathematics quiz; gifted children; slow learners; learning difficulties including dyscalculia and dysgraphia; remedial programmes; action research.
6. Professional Development of Mathematics Teacher
Qualities and skills of a mathematics teacher; professional growth through orientation programmes, refresher courses, seminars, workshops and projects; mathematics teacher as a reflective practitioner.
Qualities and skills of a mathematics teacher; professional growth through orientation programmes, refresher courses, seminars, workshops and projects; mathematics teacher as a reflective practitioner.
⚛️ Physics — Syllabus & Study Areas
PDFನಲ್ಲಿ Physics ವಿಭಾಗವು SI units, formulas, mathematical representation, major inventions and discoveries ಹಾಗೂ contributions of scientists ಸೇರಿದಂತೆ ಹಲವು ಪ್ರಮುಖ ವಿಷಯಗಳನ್ನು ಒಳಗೊಂಡಿದೆ.
Physics — ಪ್ರಮುಖ 1 ರಿಂದ 5ನೇ ವಿಭಾಗಗಳು
1. Kinematics, Motion and Timekeeping
Measurement and standard units; measuring instruments; types of motion; natural events and timekeeping; simple pendulum; periodic/oscillatory motion; time period; average speed; distance and displacement; speed and velocity; uniform and non-uniform acceleration; equations of motion; position-time and velocity-time graphs; uniform circular motion; vector algebra; scalar and vector properties; relative velocity and projectile motion.
Measurement and standard units; measuring instruments; types of motion; natural events and timekeeping; simple pendulum; periodic/oscillatory motion; time period; average speed; distance and displacement; speed and velocity; uniform and non-uniform acceleration; equations of motion; position-time and velocity-time graphs; uniform circular motion; vector algebra; scalar and vector properties; relative velocity and projectile motion.
2. Forces, Friction and Laws of Motion
Force as push or pull; contact and non-contact forces; balanced and unbalanced forces; friction; inertia; momentum; Newton’s three laws; conservation of momentum; impulse; static, kinetic and rolling friction; circular motion dynamics; centripetal force; gravitational calculations related to mass, weight and buoyancy.
Force as push or pull; contact and non-contact forces; balanced and unbalanced forces; friction; inertia; momentum; Newton’s three laws; conservation of momentum; impulse; static, kinetic and rolling friction; circular motion dynamics; centripetal force; gravitational calculations related to mass, weight and buoyancy.
3. Gravitation and Planetary Mechanics
Night sky, Sun, Moon, stars and planets; Earth’s rotation; Moon’s revolution; Earth’s orbit; seasons; artificial satellites; universal law of gravitation; acceleration due to gravity; mass and weight; gravitational constant; variations in g; gravitational potential energy; escape velocity; Kepler’s laws; geostationary and polar satellite orbits.
Night sky, Sun, Moon, stars and planets; Earth’s rotation; Moon’s revolution; Earth’s orbit; seasons; artificial satellites; universal law of gravitation; acceleration due to gravity; mass and weight; gravitational constant; variations in g; gravitational potential energy; escape velocity; Kepler’s laws; geostationary and polar satellite orbits.
4. Work, Energy, Power and Rigid Body Dynamics
Kinetic and potential energy; conservation of energy; work and mechanical power; simple machines; work done by constant and variable forces; kinetic and potential energy equations; work-energy theorem; mechanical advantage and efficiency; collisions; rotational dynamics; centre of mass; torque; angular momentum; moment of inertia and rolling motion.
Kinetic and potential energy; conservation of energy; work and mechanical power; simple machines; work done by constant and variable forces; kinetic and potential energy equations; work-energy theorem; mechanical advantage and efficiency; collisions; rotational dynamics; centre of mass; torque; angular momentum; moment of inertia and rolling motion.
5. Properties of Matter, Fluids and Mechanics of Solids
Properties of matter; floating and sinking; pressure; atmospheric pressure; weather-related pressure differences; stress-strain curves; Young’s, bulk and shear moduli; Hooke’s Law; Pascal’s Law; Archimedes’ Principle; hydrostatic pressure; viscosity; Reynolds number; Stokes’ Law; terminal velocity; streamline and turbulent flow; Bernoulli’s Principle; surface tension and capillary rise.
Properties of matter; floating and sinking; pressure; atmospheric pressure; weather-related pressure differences; stress-strain curves; Young’s, bulk and shear moduli; Hooke’s Law; Pascal’s Law; Archimedes’ Principle; hydrostatic pressure; viscosity; Reynolds number; Stokes’ Law; terminal velocity; streamline and turbulent flow; Bernoulli’s Principle; surface tension and capillary rise.
Physics — Thermal Physics ರಿಂದ Opticsವರೆಗೆ
6. Thermal Physics and Thermodynamics
Temperature and heat; thermometers; conduction, convection and radiation; conductors and insulators; thermal expansion; changes of state; sublimation; evaporation; latent heat; specific heat capacity; calorimetry; thermal equilibrium; Zeroth Law; First Law; thermodynamic processes; Second Law; entropy; heat engines and refrigerators.
Temperature and heat; thermometers; conduction, convection and radiation; conductors and insulators; thermal expansion; changes of state; sublimation; evaporation; latent heat; specific heat capacity; calorimetry; thermal equilibrium; Zeroth Law; First Law; thermodynamic processes; Second Law; entropy; heat engines and refrigerators.
7. Oscillations and Waves including Sound
Periodic and oscillatory motion; sound production and propagation; longitudinal waves; wavelength, frequency, amplitude, time period, loudness, pitch and wave speed; reflection of sound; echoes; reverberation; ultrasound; infrasound; SONAR; echolocation; human ear and noise pollution; simple harmonic motion; wave equations; superposition; standing waves; beats and Doppler Effect.
Periodic and oscillatory motion; sound production and propagation; longitudinal waves; wavelength, frequency, amplitude, time period, loudness, pitch and wave speed; reflection of sound; echoes; reverberation; ultrasound; infrasound; SONAR; echolocation; human ear and noise pollution; simple harmonic motion; wave equations; superposition; standing waves; beats and Doppler Effect.
8. Electricity and Magnetism
Basic circuits; electrical components; conductors and insulators; magnets; magnetic materials; magnetic poles; current; potential difference; Ohm’s Law; resistance; resistivity; series and parallel circuits; Joule heating; fuses; electric power; magnetic fields; Fleming’s Left-Hand Rule; electric motors; electromagnetic induction; electrostatics; Coulomb’s Law; electric fields; Gauss’s Law; capacitance; dielectric properties; Kirchhoff’s Laws; Wheatstone Bridge; potentiometer; Biot-Savart and Ampere’s laws; Lorentz force; cyclotron; galvanometer; magnetic properties; Faraday’s and Lenz’s Laws; induction; AC; LCR circuits; resonance and transformers.
Basic circuits; electrical components; conductors and insulators; magnets; magnetic materials; magnetic poles; current; potential difference; Ohm’s Law; resistance; resistivity; series and parallel circuits; Joule heating; fuses; electric power; magnetic fields; Fleming’s Left-Hand Rule; electric motors; electromagnetic induction; electrostatics; Coulomb’s Law; electric fields; Gauss’s Law; capacitance; dielectric properties; Kirchhoff’s Laws; Wheatstone Bridge; potentiometer; Biot-Savart and Ampere’s laws; Lorentz force; cyclotron; galvanometer; magnetic properties; Faraday’s and Lenz’s Laws; induction; AC; LCR circuits; resonance and transformers.
9. Optics, Light and Radiation
Rectilinear propagation of light; shadows; day and night; eclipses; reflection; mirrors; refraction; concave and convex mirrors; lenses; mirror and lens formulae; magnification; refractive index; lens power; dispersion; rainbow; atmospheric refraction; scattering of light; human eye; accommodation; myopia; hypermetropia; presbyopia and optical instruments.
Rectilinear propagation of light; shadows; day and night; eclipses; reflection; mirrors; refraction; concave and convex mirrors; lenses; mirror and lens formulae; magnification; refractive index; lens power; dispersion; rainbow; atmospheric refraction; scattering of light; human eye; accommodation; myopia; hypermetropia; presbyopia and optical instruments.
Advanced Optics and Modern Physics
Ray optics; total internal reflection; optical fibres; prism refractive index; microscopes; astronomical telescopes; Huygens’ principle; Young’s Double Slit Experiment; diffraction; polarization; photoelectric effect; matter waves; de Broglie hypothesis; Bohr’s atomic model; nuclear transformations; semiconductor electronics; p-n junction diodes; rectifiers; transistors and logic gates.
Ray optics; total internal reflection; optical fibres; prism refractive index; microscopes; astronomical telescopes; Huygens’ principle; Young’s Double Slit Experiment; diffraction; polarization; photoelectric effect; matter waves; de Broglie hypothesis; Bohr’s atomic model; nuclear transformations; semiconductor electronics; p-n junction diodes; rectifiers; transistors and logic gates.
🔬 ವಿಜ್ಞಾನ ಬೋಧನಾಶಾಸ್ತ್ರ — Pedagogy
PDFನ Science Pedagogy ಭಾಗವು ವೈಜ್ಞಾನಿಕ ತಿಳುವಳಿಕೆ ಮತ್ತು practical classroom strategies ಎರಡನ್ನೂ ಒಳಗೊಂಡಿದೆ.
Science Pedagogy — ಪ್ರಮುಖ ಅಂಶಗಳು
ವಿಜ್ಞಾನದ ಮೂಲಭೂತ ಸ್ವರೂಪ, ಭಾರತದಲ್ಲಿ ವಿಜ್ಞಾನದ ಐತಿಹಾಸಿಕ ಬೆಳವಣಿಗೆ, Anderson ಮತ್ತು Krathwohl taxonomy ಆಧಾರಿತ learning objectives, behaviourismನಿಂದ constructivism ಕಡೆಗಿನ ಬದಲಾವಣೆ, scientific temper, observation, classification ಮತ್ತು inference ಮುಂತಾದ process skills, 5-E modelನಂತಹ inquiry-based approaches, diverse learner-centred methods, inclusive instruction ಹಾಗೂ Continuous and Comprehensive Evaluation (CCE) ಮೂಲಕ scholastic ಮತ್ತು co-scholastic progress assessment.
ವಿಜ್ಞಾನದ ಮೂಲಭೂತ ಸ್ವರೂಪ, ಭಾರತದಲ್ಲಿ ವಿಜ್ಞಾನದ ಐತಿಹಾಸಿಕ ಬೆಳವಣಿಗೆ, Anderson ಮತ್ತು Krathwohl taxonomy ಆಧಾರಿತ learning objectives, behaviourismನಿಂದ constructivism ಕಡೆಗಿನ ಬದಲಾವಣೆ, scientific temper, observation, classification ಮತ್ತು inference ಮುಂತಾದ process skills, 5-E modelನಂತಹ inquiry-based approaches, diverse learner-centred methods, inclusive instruction ಹಾಗೂ Continuous and Comprehensive Evaluation (CCE) ಮೂಲಕ scholastic ಮತ್ತು co-scholastic progress assessment.
Curriculum Documents
NCF-2005, NCF-SE 2023 ಮತ್ತು NEP 2020ರಲ್ಲಿ ಸೂಚಿಸಿರುವ curriculum ಮತ್ತು education perspectives ಕೂಡ ಈ ವಿಭಾಗದಲ್ಲಿ ಪ್ರಮುಖವಾಗಿವೆ.
NCF-2005, NCF-SE 2023 ಮತ್ತು NEP 2020ರಲ್ಲಿ ಸೂಚಿಸಿರುವ curriculum ಮತ್ತು education perspectives ಕೂಡ ಈ ವಿಭಾಗದಲ್ಲಿ ಪ್ರಮುಖವಾಗಿವೆ.
📚 Science Reference Material — ಓದುವ ಕ್ರಮ
ಮೊದಲ ಹಂತ:
KTBS Science textbooks 1ರಿಂದ 10ನೇ ತರಗತಿ.
ಎರಡನೇ ಹಂತ:
NCERT ಮತ್ತು ICSE textbooks 6ರಿಂದ 12ನೇ ತರಗತಿ.
ಮೂರನೇ ಹಂತ:
Physics concepts ಮತ್ತು numerical understandingಗಾಗಿ
H. C. Verma Part 1 ಮತ್ತು Part 2.
ನಾಲ್ಕನೇ ಹಂತ:
NCERT ಮತ್ತು IGNOU Science pedagogy materials.
ಐದನೇ ಹಂತ:
NCF-SE 2023 ಮತ್ತು NEP 2020 documents.
💡 ಅಭ್ಯರ್ಥಿಗಳಿಗಾಗಿ ನಮ್ಮ Study Suggestions
ಕೆಳಗಿನ ಸಲಹೆಗಳು PDFನಲ್ಲಿ ನೀಡಿರುವ ಅಧಿಕೃತ Reference Books ಪಟ್ಟಿಯ ಭಾಗವಲ್ಲ. ಇವು ಅಭ್ಯರ್ಥಿಗಳು ಆ materials ಅನ್ನು ಪರಿಣಾಮಕಾರಿಯಾಗಿ ಬಳಸಿಕೊಳ್ಳಲು ನೀಡಿರುವ preparation suggestions.
📘 Textbook First
🧠 Concept Clarity
✍️ Regular Practice
📑 Syllabus Mapping
👨🏫 Pedagogy Revision
🔄 Repeated Revision
ನಮ್ಮ ಸಲಹೆ:
ಎಲ್ಲ ಪುಸ್ತಕಗಳನ್ನು ಒಂದೇ ಸಮಯದಲ್ಲಿ ಓದಲು ಪ್ರಯತ್ನಿಸುವುದಕ್ಕಿಂತ ಒಂದು primary textbook source ಆಯ್ಕೆ ಮಾಡಿಕೊಂಡು concept clarity ಪಡೆಯಿರಿ. ನಂತರ NCERT ಅಥವಾ ಇತರ reference source ಮೂಲಕ ಅದನ್ನು cross-check ಮಾಡಿ. ಕೊನೆಯಲ್ಲಿ pedagogy ಮತ್ತು assessment ಅಂಶಗಳನ್ನು ಸೇರಿಸಿ revision ಮಾಡಿ.
ಎಲ್ಲ ಪುಸ್ತಕಗಳನ್ನು ಒಂದೇ ಸಮಯದಲ್ಲಿ ಓದಲು ಪ್ರಯತ್ನಿಸುವುದಕ್ಕಿಂತ ಒಂದು primary textbook source ಆಯ್ಕೆ ಮಾಡಿಕೊಂಡು concept clarity ಪಡೆಯಿರಿ. ನಂತರ NCERT ಅಥವಾ ಇತರ reference source ಮೂಲಕ ಅದನ್ನು cross-check ಮಾಡಿ. ಕೊನೆಯಲ್ಲಿ pedagogy ಮತ್ತು assessment ಅಂಶಗಳನ್ನು ಸೇರಿಸಿ revision ಮಾಡಿ.
ಗಣಿತಕ್ಕೆ:
Formula memorisationಗಿಂತ concept + application + teaching methodology ಎಂಬ ಮೂರು ಭಾಗಗಳ ಮೇಲೆ ಸಮಾನವಾಗಿ ಗಮನ ಕೊಡಿ.
Formula memorisationಗಿಂತ concept + application + teaching methodology ಎಂಬ ಮೂರು ಭಾಗಗಳ ಮೇಲೆ ಸಮಾನವಾಗಿ ಗಮನ ಕೊಡಿ.
ವಿಜ್ಞಾನಕ್ಕೆ:
Scientific concepts ಜೊತೆಗೆ experiments, observations, applications, scientific reasoning ಮತ್ತು science pedagogy ಅಂಶಗಳನ್ನು ಸಂಪರ್ಕಿಸಿ ಓದಿ.
Scientific concepts ಜೊತೆಗೆ experiments, observations, applications, scientific reasoning ಮತ್ತು science pedagogy ಅಂಶಗಳನ್ನು ಸಂಪರ್ಕಿಸಿ ಓದಿ.
📥 ಅಧಿಕೃತ Reference Books & Syllabus PDF
Karnataka School Education Department ಪ್ರಕಟಿಸಿರುವ 6–8 GPT Paper–2 (Mathematics and Science) ಅಧಿಕೃತ PDF ಇಲ್ಲಿ ಲಭ್ಯವಿದೆ.
📄 Official PDF ತೆರೆಯಿರಿ
✅ ಕೊನೆಯ ಮಾತು
6–8 GPT Mathematics ಮತ್ತು Science preparationಗೆ Reference Books ಆಯ್ಕೆ ಮಾಡುವಾಗ ಅಧಿಕೃತ PDFನಲ್ಲಿ ಸೂಚಿಸಿರುವ books ಮತ್ತು curriculum documents ಅನ್ನು ನಿಮ್ಮ preparationನ ಮೂಲ ಆಧಾರವಾಗಿರಿಸಿಕೊಳ್ಳುವುದು ಉತ್ತಮ.
Reference Books → Syllabus Mapping → Concept Study → Pedagogy → Practice → Revision ಎಂಬ ಕ್ರಮದಲ್ಲಿ ಸಿದ್ಧತೆ ನಡೆಸಿದರೆ ಅಧ್ಯಯನವು ಹೆಚ್ಚು ವ್ಯವಸ್ಥಿತವಾಗಿರುತ್ತದೆ.
ಮೂಲ:
ಕರ್ನಾಟಕ ಶಾಲಾ ಶಿಕ್ಷಣ ಇಲಾಖೆ — 6–8 GPT
Paper–2 (Mathematics and Science) ಅಧಿಕೃತ PDF.
PDFನಲ್ಲಿ Mathematics Reference Books ಮತ್ತು Science Reference
Books ಪ್ರತ್ಯೇಕವಾಗಿ ನೀಡಲಾಗಿದೆ.
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