Pedagogy of Mathematics
This One Week Series is Written in English Language in Question Answer Series According to syllabus of Rajasthan University.
UNIT I Nature and Structure of Mathematics
a) Meaning and characteristics of mathematics Science and Mathematics
Development of Mathematics: empirical, intuitive and logical
b) History of Mathematics education: Ancient period to 21st century
c) Contributions of eminent Mathematicians Western &Indian 4 each)
d) Branches of Mathematics: Arithmetic, Algebra, Geometry, Trigonometry –
e) Undefined terms - Axices - Postulates - Theorems - Proofs and
verification in mathematics-Types of theorems: Existence and Uniqueness theorems - Types of proofs: Direct, indirect by contradiction, by exhaustion, by mathematical induction
f) Euclidean geometry and its criticisms - emergence of bon Euclidean
UNIT-II Objectives and Approaches of Teaching Mathematics
a) Aims and Objectives of Teaching Mathematics: At primary, Secondary and Higher secondary levels - Goals of mathematics education Mathematical skills: Calculations, Geometrical, and interpreting graphs – Mathematical abilities Problem solving ability.
b) Approaches to teaching Mathematics: Behaviorist approach, constructivist Process Oriented approach, competency based approach, Realistic mathematics education.
UNIT-III METHODS AND MODEL OF TEACHING MATHEMATICS:
a) Methods of teaching mathematics: Lecture, Inductive, Deductive, Analytic, Synthetic, Heuristic, Project, Problem solving, and Laboratory methods, Co-Operative, constructivism method.
b) Techniques of Teaching Mathematics: Questioning. Brainstorming Role-playing Simulation
c) Non-formal techniques of learning Mathematics
d) Models of Teaching: Concept attainment model, inquiry training model, Inductive thinking model
UNIT - IV Pedagogical content knowledge of mathematics
a) Concept of Pedagogical content knowledge
b) Pedagogic content knowledge analysis for selected units of 8th, 9th , 10th and 11th std.-Content analysis, Listing prerequisites, instructional objectives and task analysis
c) Analyzing and selecting suitable teaching methods, strategies, techniques, model: limning activities, lesson plan in mathematics-their need and importance
d) Analyzing and selecting suitable evaluation strategies
e) Identifying the misconceptions and appropriate remedial strategies
UNIT-V Technology in mathematics education
a) Technology integration strategies for mathematics, web based lessons, web quest, cyber guides, multimedia presentation, Tele computing projects,
b) E-content development concept formats, steps for preparation
c) A survey of software used in mathematics teaching and learning