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SAVITRIBAI PHULE PUNE UNIVERSITY,
B.ED. TWO YEAR PROGRAMME
CHOICE BASED CREDIT SYSTEM
ANNUAL PATTERN-2015
Prof.Namita S. Sahare
Tilak College of Education, Pune
MATHEMATICS IS A SUBJECT WHICH MOST STUDENTS LOVE TO
HATE – AND CERTAIN TEACHERS EVEN HATE TO TEACH,
BECAUSE OF THE OVERT NEGATIVE VIBES. ON THE OTHER HAND,
THERE ARE SOME STUDENTS WHO ARE A JOY TO TEACH, SIMPLY
BECAUSE THEY ARE SO SKILLED WITH NUMBERS. -
GENERAL OBJECTIVES OF THE B. ED. PROGRAMME
TO ENABLE THE STUDENT TEACHER:
1. to integrate the study of subject knowledge, human development, pedagogical knowledge and
communication skill in student teachers.
2. to promote capabilities for inculcating national values and goals as mentioned in the Constitution of India.
3. to act as agents of modernization and social change.
4. to promote social cohesion, international understanding and protection of human rights and rights of the
child.
5. to become competent and committed professionals willing to perform the identified tasks.
6. to use competencies and skills needed for becoming an effective teacher in a normal setup and in an
inclusive setup.
7. to understand, develop and apply various evaluation procedures in education.
8. to be sensitive student teacher about emerging issues such as environment,
population, gender equality, legal literacy, critical understanding of ICT, yoga education, etc.
9. to inculcate rational thinking and scientific temper among the students.
10. to develop critical awareness about the social realities among the students.
11. to use managerial and organizational skills.
12. to enrich himself/herself by actual engagement in the field.
13. to enable him/her to become aware about the day to day problems in the field and develop the capacity
to solve them through research.
14. to develop an understanding of the interdisciplinary perspectives in education
15. to develop the habit of reflective teaching among the student teachers.
16. to enhance professional capacities like reading and reflecting on texts, understanding of self,
understanding the use of drama and art in education, etc.
STRUCTURE OF MATHEMATICS
 Arithmetic
 Algebra
 Geometry
 Applied
Mathematics
CURRICULAR AREAS OF THE TEACHER TRAINING
PROGRAMME
 The programme structure offers a comprehensive coverage of themes and
rigorous field engagement with the child, school and community. It
comprises of three broad inter related curricular areas:-
I.Perspectives in education
II.Curriculum and Pedagogic studies
III.Engagement with the field.
BED 106- 09:
UNDERSTANDING DISCIPLINES AND SCHOOL SUBJECTS
MATHEMATICS
Objectives :
To enable student teacher to
1) understand nature, scope & importance of Mathematics at
secondary level.
2) analyze the textbook& content of Mathematics at secondary
level.
3) Understand basic concepts in Arithmetic, algebra, and
Geometry.
4) familiarize facts, terms, concepts , laws & principles in
Mathematics.
5) Apply basic concepts of Mathematics in daily life.
UNIT 1 : ( 1 CREDIT)
 A. Arithmetic
1. Numbers
a) Natural, whole, integers, rational, irrational, real numbers
b) Operations on numbers: addition, subtraction, multiplication and
division
c)Use of brackets
d)Indices , squares, square roots, cube, cube roots.
2.Unitary method, variation- direct and inverse
3.Ratio and proportion
 B. Algebra
1.Basics of Algebra
2.Use of letters in place of numbers.
3.Algebraic expressions, addition, subtraction, multiplication and
division of algebraic expressions.
4.Polynomials: factors and multiples.
5.Identities.
6.Equations: equations with one variable, linear equations in two
variables, quadratic equations.
UNIT 2 : (1 CREDIT)
 A. Geometry
1. Basics of Geometry
i.Basic concepts
ii.Angles, pairs of angles, triangles and quadrilaterals – types
&properties.
iii.Triangles- congruence and similarity.
2. Circle – basic concepts, circumference, area, theorems.
3. Quadrilaterals – properties of different quadrilaterals, theorems.
4. Geometric construction
 B. Applied Mathematics
1. Mathematics in day to day life
i.Profit and loss.
ii.Percentages
iii.Simple and compound interest
iv.Discount and commission
2. Statistics – measures of central tendency and variability, Graphs.
3. Mensuration – Area and volumes of different geometrical figures.
4. Co- ordinate geometry.
SAMPLE QUESTIONS
 Solve the following examples
Ex. 1:The length of the rectangle is 3cm more than its
breadth. The perimeter of the rectangle is 30cm. Find
the length and the breadth of the rectangle?
Ex. 2: On selling a bicycle for Rs. 2160/- Sarika made profit
of 8%. What was the cost price of the bicycle ?
Ex.3: The length of a suitcase is 0.4m and its breadth is
0.3m . If its volume is 0.024 cubic meters, what is the
height of the suitcase
MODE OF TRANSACTION:
1.Lecture
2.Deductive
3.Analytic and synthetic
4.Discussion
5.Seminars
6.Presentation
7.Projects
LIST OF PRACTICAL (ANY ONE OF THE FOLLOWING):
1.Investigatory Project/ Model
2.Visiting a Mathematics Institute
3.Contribution of Indian Mathematicians
 References:
Text books published by Maharashtra State Bureau of
Textbook production and curriculum research, Pune and
Maharashtra state board of secondary and higher
secondary education , Pune.

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SPPU BED-106 Mathematics content.ppt

  • 1. SAVITRIBAI PHULE PUNE UNIVERSITY, B.ED. TWO YEAR PROGRAMME CHOICE BASED CREDIT SYSTEM ANNUAL PATTERN-2015 Prof.Namita S. Sahare Tilak College of Education, Pune
  • 2. MATHEMATICS IS A SUBJECT WHICH MOST STUDENTS LOVE TO HATE – AND CERTAIN TEACHERS EVEN HATE TO TEACH, BECAUSE OF THE OVERT NEGATIVE VIBES. ON THE OTHER HAND, THERE ARE SOME STUDENTS WHO ARE A JOY TO TEACH, SIMPLY BECAUSE THEY ARE SO SKILLED WITH NUMBERS. -
  • 3. GENERAL OBJECTIVES OF THE B. ED. PROGRAMME TO ENABLE THE STUDENT TEACHER: 1. to integrate the study of subject knowledge, human development, pedagogical knowledge and communication skill in student teachers. 2. to promote capabilities for inculcating national values and goals as mentioned in the Constitution of India. 3. to act as agents of modernization and social change. 4. to promote social cohesion, international understanding and protection of human rights and rights of the child. 5. to become competent and committed professionals willing to perform the identified tasks. 6. to use competencies and skills needed for becoming an effective teacher in a normal setup and in an inclusive setup. 7. to understand, develop and apply various evaluation procedures in education. 8. to be sensitive student teacher about emerging issues such as environment, population, gender equality, legal literacy, critical understanding of ICT, yoga education, etc. 9. to inculcate rational thinking and scientific temper among the students. 10. to develop critical awareness about the social realities among the students. 11. to use managerial and organizational skills. 12. to enrich himself/herself by actual engagement in the field. 13. to enable him/her to become aware about the day to day problems in the field and develop the capacity to solve them through research. 14. to develop an understanding of the interdisciplinary perspectives in education 15. to develop the habit of reflective teaching among the student teachers. 16. to enhance professional capacities like reading and reflecting on texts, understanding of self, understanding the use of drama and art in education, etc.
  • 4. STRUCTURE OF MATHEMATICS  Arithmetic  Algebra  Geometry  Applied Mathematics
  • 5. CURRICULAR AREAS OF THE TEACHER TRAINING PROGRAMME  The programme structure offers a comprehensive coverage of themes and rigorous field engagement with the child, school and community. It comprises of three broad inter related curricular areas:- I.Perspectives in education II.Curriculum and Pedagogic studies III.Engagement with the field.
  • 6. BED 106- 09: UNDERSTANDING DISCIPLINES AND SCHOOL SUBJECTS MATHEMATICS Objectives : To enable student teacher to 1) understand nature, scope & importance of Mathematics at secondary level. 2) analyze the textbook& content of Mathematics at secondary level. 3) Understand basic concepts in Arithmetic, algebra, and Geometry. 4) familiarize facts, terms, concepts , laws & principles in Mathematics. 5) Apply basic concepts of Mathematics in daily life.
  • 7. UNIT 1 : ( 1 CREDIT)  A. Arithmetic 1. Numbers a) Natural, whole, integers, rational, irrational, real numbers b) Operations on numbers: addition, subtraction, multiplication and division c)Use of brackets d)Indices , squares, square roots, cube, cube roots. 2.Unitary method, variation- direct and inverse 3.Ratio and proportion  B. Algebra 1.Basics of Algebra 2.Use of letters in place of numbers. 3.Algebraic expressions, addition, subtraction, multiplication and division of algebraic expressions. 4.Polynomials: factors and multiples. 5.Identities. 6.Equations: equations with one variable, linear equations in two variables, quadratic equations.
  • 8. UNIT 2 : (1 CREDIT)  A. Geometry 1. Basics of Geometry i.Basic concepts ii.Angles, pairs of angles, triangles and quadrilaterals – types &properties. iii.Triangles- congruence and similarity. 2. Circle – basic concepts, circumference, area, theorems. 3. Quadrilaterals – properties of different quadrilaterals, theorems. 4. Geometric construction  B. Applied Mathematics 1. Mathematics in day to day life i.Profit and loss. ii.Percentages iii.Simple and compound interest iv.Discount and commission 2. Statistics – measures of central tendency and variability, Graphs. 3. Mensuration – Area and volumes of different geometrical figures. 4. Co- ordinate geometry.
  • 9. SAMPLE QUESTIONS  Solve the following examples Ex. 1:The length of the rectangle is 3cm more than its breadth. The perimeter of the rectangle is 30cm. Find the length and the breadth of the rectangle? Ex. 2: On selling a bicycle for Rs. 2160/- Sarika made profit of 8%. What was the cost price of the bicycle ? Ex.3: The length of a suitcase is 0.4m and its breadth is 0.3m . If its volume is 0.024 cubic meters, what is the height of the suitcase
  • 10. MODE OF TRANSACTION: 1.Lecture 2.Deductive 3.Analytic and synthetic 4.Discussion 5.Seminars 6.Presentation 7.Projects
  • 11. LIST OF PRACTICAL (ANY ONE OF THE FOLLOWING): 1.Investigatory Project/ Model 2.Visiting a Mathematics Institute 3.Contribution of Indian Mathematicians  References: Text books published by Maharashtra State Bureau of Textbook production and curriculum research, Pune and Maharashtra state board of secondary and higher secondary education , Pune.