Kerala PSC High School Teacher (HSA) Maths Recruitment 2024

Table of Contents

Kerala PSC High School Teacher Notifications

Kerala PSC HSA Mathematics Pay Scale

Qualification for HSA Mathematics

HSA Mathematics Previous Cut-Off Marks

HSA Mathematics Current Advice

How to prepare for High School Teacher (HST)

Kerala PSC High School Teacher (Assistant) Syllabus

Overview

In pursuance of filling vacancy for different categories, various notifications towards the post of High School Assistant has been released by Kerala PSC. And the recruitment for general recruitment is expected to be notified by the end of 2024. The next Kerala PSC HSA Exam is expected to be conducted in 2025. Candidates preparing seriously for a safe high school teaching job must not miss this opportunity. See the details of the notifications and prepare for the exams more effectively. The exams are being expected from PSC June 2024 exam schedule. Start your preparations with the best online coaching for HSA Mathematics. Register free for the upcoming offline model exam conducted by Competitive Cracker.

Kerala PSC High School Teacher Notifications

The notifications published to the various vacancies in the schools under the General Education department of Kerala government are as listed below. Candidates who have applied for the exams are advised to download and read the notifications.

• High School Teacher (Mathematics) Kannada Medium: 608/2023
• High School Teacher (Mathematics) Tamil Medium: 485 – 486/2023
• High School Teacher (Mathematics) Tamil Medium: 589/2023
• High School Teacher (Mathematics) Tamil Medium: 735/2023
• High School Teacher (Mathematics) Malayalam Medium: 736 – 738/2023

The new notification regarding the general recruitment for High School Teacher (HSA) is expected to be released by the end of 2024. And the exam to this notification might be scheduled towards the mid of 2025. Such that all candidates are advised to start their preparations with long courses that cover the portions effectively and in-depth.

Kerala PSC HSA Mathematics Pay Scale

Being a Government High School Teacher candidate are eligible for a pay scale of ₹ 41300-87000/-. To be able to draw a decent salary along with reputable position is a dream for many. With a structured preparation you can achieve this dream.

Qualification for HSA Mathematics

A Bachelor’s Degree with Mathematics or Statistics as Main Subject and B.Ed./B. T in the concerned subjects conferred or recognized by the Universities in Kerala.

Must have passed the Kerala Teacher Eligibility Test(K-TET) for this post conducted by the Government of Kerala.

Exemption in qualifications as per official PSC notification are as follows:

Candidates who have qualified CTET/NET/SET/M.Phil. /Ph.D. in the respective subjects or M.Ed. in any subject are exempted from acquiring Teacher’s Eligibility Test certifications.

Those who passes CTET Primary stage and CTET Elementary stage were excluded from KTET Category I & II respectively. Also, CTET qualification can't be considered as an alternative qualification for KTET Category III and IV.

The post requires an M.Phil in a relevant subject from any Kerala university or recognized as equivalent. Postgraduates in Mathematics or Statistics with B.Ed/BT in the subject are also considered. A Diploma in Rural Service awarded by the National Council for Rural Higher Education is also considered equivalent. Candidates with a B.Sc Ed in Physics, Chemistry, or Mathematics from the Regional Institute of Education, Mysore of NCERT are also eligible. The application form should mention the disciplines obtained. Written tests will be in Malayalam, and candidates claiming equivalent qualifications must produce relevant government orders during verification.

HSA Mathematics Previous Cut-Off Marks

The general recruitment for HSA Mathematics was done under the category number 383/2020 and the ranked list in pursuance of this recruitment has been published in 2023. The HSA Mathematics cut-offs for all the fourteen districts are mentioned in the below table.

Kerala PSC HSA Exam Previous Cut-Off marks
District	Cut Off
Thiruvananthapuram	24.33
Kollam	28.00
Pathanamthitta	25.33
Alappuzha	22.67
Kottayam	23.00
Ernakulam	23.67
Idukki	22.00
Thrissur	23.00
Palakkad	24.33
Malappuram	23.33
Kozhikode	21.00
Kannur	25.00
Wayanad	20.00
Kasargode	23.00

HSA Mathematics Current Advice

The current advice status of Kerala PSC HSA Mathematics is as follows.

Kerala PSC HSA Advices since Ranked List Release in 2023
District	Advices
Thiruvananthapuram	46
Kollam	29
Pathanamthitta	08
Alappuzha	20
Kottayam	09
Ernakulam	21
Idukki	10
Thrissur	31
Palakkad	48
Malappuram	84
Kozhikode	06
Wayanad	12
Kannur	23
Kasargode	17
Total	364

As of March 2024, Malappuram district has the highest number of appointments. And Kozhikode district has the least number of appointments. The numbers will change in coming days as the current ranked list are valid until 2026.

How to prepare for High School Teacher (HST)

High School teacher in Kerala is a dream job for many qualified teachers in Kerala. In addition to a safe career the job offers a good pay and good career progress.

As start of the preparation candidates might need to read and understand the complete syllabus. Among the three parts in the syllabus, candidates need to give special attention to Part II and III. A good in-depth online coaching for HSA Mathematics will benefit the preparations in many ways. Aspirants who take upon a long preparation will surely have a good chance to make it into the next ranked list. Effective workout of previous questions and attending model exams will add to their benefit.

The online course will bring the classrooms wherever you are. Classes will be provided in both live and recorded methods. The students can download the classes to their app and watch whenever they ready for. The 24 x 7 mentor support will help the students learn more efficiently. The mentors help them to clear all the doubts regarding each topic. Regularly scheduled mock tests and model exam will prepare candidates to face the most difficult questions during exams. Join Competitive Cracker for the best online coaching for Kerala PSC HST Exams. With the best results in previous LP/UP exam Competitive Cracker is the frontrunner in Kerala online exam coaching.

Kerala PSC High School Teacher (Assistant) Syllabus

Part I

Module I: Renaissance and freedom movement

Module II: General Knowledge and current affairs

Part II

Module III: Methodology of teaching the subject

• History/conceptual development.
  • Need and Significance
  • Meaning, Nature and Scope of the Subject.
• Correlation with other subjects and life situations.
• Aims, Objectives, and Values of Teaching
  • Taxonomy of Educational Objectives - Old and revised
• Pedagogic analysis
  • Need, Significance and Principles.
• Planning of instruction at Secondary level
  • Need and importance.
  • Psychological bases of Teaching the subject
  • Implications of Piaget, Bruner, Gagne, Vygotsky, Ausubel and Gardener
  • Individual difference, Motivation, Maxims of teaching.
• Methods and Strategies of teaching the subject
  • Models of Teaching
  • Techniques of individualising instruction.
• Curriculum
  • Definition
  • Principles
  • Modern trends and organizational approaches
  • Curriculum reforms - NCF/KCF.
• Instructional resources
  • Laboratory, Library, Club, Museum
  • Visual and Audio-Visual aids
  • Community based resources
  • E-resources
  • Text book, Work book and Hand book.
• Assessment
  • Evaluation- Concepts, Purpose, Types, Principles, Modern techniques - CCE and Grading
  • Tools and techniques
  • Qualities of a good test
  • Types of test items
  • Evaluation of projects, Seminars and Assignments
  • Achievement test, Diagnostic test
  • Construction, Characteristics, interpretation and remediation.
• Teacher
  • Qualities and Competencies
  • Different roles
  • Personal Qualities
  • Essential teaching skills
  • Microteaching
  • Action research.

Part III (80 Marks)

Module I

• Elementary Set Theory
• Relations, Partial order, Equivalence relation
• Functions, bijections, Composition, inverse function
• Quadratic equations
  • Relation between roots and coefficients
• Mathematical induction
• Permutation and combination
• Trigonometric Functions
  • Identities solution of triangles, heights and distances.
• Geometry
  • Length and area of Polygons and circle.
• Solids
  • Surface area and volume, Euler’s formula.

Module II

• Theory of Numbers
  • Divisibility
  • Division Algorithm
  • GCD
  • LCM
• Relatively prime numbers (Coprimes)
• Fundamental Theorem of Arithmetic
• Congruences, solution of linear congruences
• Fermat’s Theorem.
• Matrices
  • Addition
  • Multiplication
  • Transpose
  • Determinants
  • Singular Matrices, inverse
  • Symmetric, Skew-Symmetric
  • Hermitian, Skew-Hermitian
  • Orthogonal Matrices
  • Normal Form
  • Echelon Form
  • Rank of a Matrix.
• Solution of system of linear equations
• Eigenvalues, eigenvectors
• Cayley Hamilton Theorem.

Module III

• Calculus
  • Limits, Continuity, Differentiability, Derivatives
  • Intermediate Value Theorem
  • Rolle’s Theorem
  • Mean value Theorem
  • Taylor and Maclaurin’s series
  • L’Hospital’s rule
• Partial differentiation
• Homogeneous Functions, Euler’s Formula.
• Applications of differentiation
  • maxima and minima
  • critical points
  • concavity, points of inflection, asymptotes
  • Tangents and Normals.
• Integration
  • methods of integration, definite integrals
  • properties. Fundamental theorem of calculus.
• Applications of Integration
  • Area between curves, volume and area of revolution.
• Double and Triple Integrals Conic sections
  • Standard equations
  • Parabola, ellipse, hyperbola
  • Cartesian, Parametric and polar forms.

Module IV

• Bounded sets, infinum, supremum, order completeness, neighbourhood, interior,
• Open Sets, closed sets
• Limit Points, Bolzano Weierstrass Theorem
• Closed Sets, Dense Sets, Countable Sets, Uncountable Sets
• Sequences
  • convergence and divergence of sequences
  • monotonic sequences
  • subsequences.
• Series
  • Convergence and Divergence of Series
  • Absolute Convergence
  • Canchy’s general principle of convergence of series
  • The series ∑1/n^p
• Tests for convergence of series – comparison test, root test, ratio test
• Continuity and uniform continuity, Riemann integrals, properties, integrability.
• Complex numbers, modulus, conjugates, polar form, nth roots of complex numbers.
• Functions of complex variables – Elementary functions of complex variables, Analytic functions. Taylor series, Laurent’s Series.

Module V

• Vectors
  • Unit vector
  • Collinear Vectors
  • Coplanar Vectors
  • Like and Unlike Vectors
  • Orthogonal Triads (I, J, K) Dot Product
  • Cross Product- Properties.
• Vector Differentiation
  • Unit Tangent Vector
  • Unit Normal Vector
  • Curvature, Torsion
  • Vector Fields & Scalar Fields
  • Gradient Divergence
  • Curl, Directional Derivatives.
• Vector Integration
  • Line Integrals
  • Conservative Fields
  • Green’s Theorem
  • Surface Integrals
  • Stoke’s Theorem
  • Divergence Theorem.
• Differential Equations
  • Order and Degree of Differential Equations
  • First Order Differential Equations
  • Solution of Linear Equations, Separable Equations and Exact Equations.
• Second Order Differential Equations
  • Solution of Homogeneous Equations with Constant Coefficients
  • Various Types Non-Homogeneous Equations, Solutions by Undetermined Coefficients.

Module VI

• Data Representation:
  • Raw Data
  • Classification and tabulation of data
  • Frequency tables
  • Contingency tables;
• Diagrams
  • Bar diagrams
  • sub-divided bar diagrams
  • Pie diagrams,
• Graphs
  • Frequency polygon
  • frequency curve
  • Ogives.
• Descriptive Statistics:
  • Percentiles, Deciles, Quartiles
  • Arithmetic Mean, Median, Mode
  • Geometric Mean and Harmonic Mean
  • Range, Mean deviation, Variance
  • Standard deviation, Quartile deviation;
• Relative Measures Of Dispersion
  • Coefficient Of Variation;
• Moments, Skewness And Kurtosis
  • Measures Of Skewness And Kurtosis.
• Probability:
  • Random Experiment
  • Sample Space
• Events, Type Of Events, Independence Of Events
  • Definitions Of Probability
  • Addition Theorem
  • Conditional Probability
  • Multiplication Theorem
  • Baye’s theorem.

Module VII

• Random variables and probability distributions:
  • Random variables,
  • Mathematical Expectation,
  • Definitions and properties of probability mass function,
  • probability density function and distribution function.
• Independence of random variables;
• Moment generating function;
• Standard distributions
  • Uniform, Binomial, Poisson and Normal distribution.
• Bivariate distribution:
  • Joint distribution of two random variables
  • marginal and conditional distributions.
• Correlation and regression
  • Scatter Diagram
  • Karl Pearson’s Correlation Coefficient
  • Spearman’s rank correlation coefficient
  • Principle of least squares – curve fitting – Simple linear regression.

Module VIII

• Random Sampling Methods:
  • Sampling and Census
  • Sampling and Non-sampling errors
  • Simple random sampling
  • Systematic sampling
  • Stratified sampling.
• Sampling distributions:
• Parameter and statistic
  • Standard error
  • sampling distributions – normal, t, F, Chi square distributions
• Central limit theorem.
• Estimates
  • Desirable properties of estimate – Unbiasedness, consistency, sufficiency and efficiency.
• Testing of hypothesis (basic concepts only)
  • Simple and composite hypotheses
  • null and alternate hypotheses
  • Type I error, Type II error
  • Level of significance
  • Power of a test.