Unit-1: Perspective about Mathematical Knowledge-1??????????????????????????????????????????????????????????
Meaning, nature and characteristics of mathematics
Processes in mathematics?mathematical representations, mathematical relations, mathematical reasoning, problem solving in mathematics and communication in mathematics.
Goals of Mathematics Education?Cognitive, affective and Psychomotor domain
Unit-2: Perspective about Mathematical knowledge-2??????????????????????????????????????????????????????????
Aims of teaching mathematics?disciplinary, utilitarian, recreational.
Objectives of mathematics education of elementary level in terms of competencies/learning outcomes, development of interest and appreciation
Effect of socio-cultural back ground of children on mathematical knowledge
Number: Number concepts, counting, place value, rational numbers, Arithmetic operations, Fractions, Decimals
Spatial understanding and Shapes?vocabulary of special relationship, basic geometrical shapes and their characteristics, Triangle, Rectangle, Square, Circle, Sphere, Cylinder and Cone, Rectangular parallelopiped, cube.
Unit-4: Pedagogical Content Knowledge-2
Measurement: Length, perimeter and area of square & rectangle circle, weight, volume, Time and money
Data handling: Collection and representation of data through various methods?tables, tallies, pictogram and bar graph?interpretation of idea
Unit-5: Elementary Statistics
Basic concept in statistics
Tabulation of Data
Graphical presentation thereof
Measure of Central Tendency and dispersion
Unit-6: Conceptualization of Mathematics
Constructivist Approach in Mathematics
Activity based learning, strategies for concept formation and concept attainment, structuring activities for inductive thinking and inquiry based learning, structuring learning, activities using manipulative, story problems, games, outdoor activities and real life situations.
Co-operative learning strategies (learning together technique)
Theory of Mathematics learning : Piaget, Vygotsky, Dienes, Bruner
Concept of Estimation?Measurement related
Use of out of School Mathematics for conceptualization of Formal Mathematics
Unit-7: Resource in Mathematics Learning
Preparation and use of learning materials in mathematics.
Principles of selection and effective use of LTM
Unit-8: Learning methods and approaches of Mathematics
Observation, experimentation, Demonstration, Problem Solving
Project
Unit-9: Planning for Teaching Mathematics
Unit?wise process based lesson planning, Preparation of lesson notes on the basis of competencies.
Planning for Teaching?Addressing problems in mathematics teaching and their probable solutions.
Unit-10:Assessment of mathematics Learning
Meaning and purpose of assessment and evaluations
CCE in mathematics, Formative and Summative
Tools of assessment in mathematics?Achievement test and diagnostic test in mathematics construction and use
