Mathematics Model Projects

 Project (Cambridge Dictionary )

1)a piece of planned work or an activity that is finished over a period of time and intended to achieve a particular purpose

2)a study of a particular subject done over a period of time, especially by students

Nature of Mathematics Projects

• A mathematical project is an individual or small group activity that involves the preparation of a paper, the production of a model or display, or a combination of these two activities. 
• A project may begin with a student's desire to explore a topic or idea in greater depth than regular classwork permits, or it may  be assigned by the teacher. 
• Occasionally, a project may grow out of a student's out-of -class hobby. 
• In some respects, it resembles a scientific investigation.
• First and foremost, the student defines a statement or recognition of  problem or topic he/she going to investigate, or describes the model or display he intends to build.
  
• The student extend himself/herself  beyond his/her regular assignments to collect pertinent information for a paper  or to  procure  needed construction materials  for a display or a model. (No cost / Low cost). This step   may involve the use of library and in the  case of  a model or display, the student may need to use art and craft materials.
  
• It is completed when the student finishes writing a report, demonstrates the use of a model or explains a display.(As usually conceived, a display is a thematic arrangement of models, illustrations, and printed messages that are combined to project an idea to an observer)
• A completed project is given recognition and evaluated. Exhibits and fairs provide opportunities for displaying projects and judging their merits. 
• If a project is put on display in a library, school fairs (Inter or intra) the other teachers, parents, the community also plays a part in the evaluation.

Model Evaluation of Project Work (NCERT)
(a) Every student will be asked to do at least one project based on the concepts
learnt in the classroom.
(b) The project may be carried out individually (or in a group of two or three students).
(c) The weightage of 5 marks for the project may be as under :

• Identification and statement of the project:1 mark
• Planning the project:1 mark
• Procedure adopted:1 mark
• Observations from data collected:1 mark
• Interpretation and application of result:1 mark

Model Solved Projects for Class-X (NCERT)

1. ARYABHAT – THE MATHEMATICIAN AND ASTRONOMER
2. SURFACE AREAS AND VOLUMES OF CUBOIDS
3. GOLDEN RECTANGLE AND GOLDEN RATIO
4. π - WORLD'S MOST MYSTERIOUS NUMBER

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 List of Model  Projects 

1. To develop Heron's formulae for area of a triangle. 
2. Story of π. 
3. Development of Number Systems with their needs. 
4. Chronology of Indian Mathematicians with their contributions. 
5. Chronological development of solution of a quadratic equations. 
6. Development of Formula for the area of a cyclic quadrilateral. 
7. Pythagoras Theorem-Proofs other than given in the present textbook. 
8. Extensions of Pythagoras Theorem. 
9. With rectangle of given perimeter finding the one with a maximum area and with rectangle of given area, finding the one with least perimeter. 
10. Knowledge and classification of solid figures with respect to surface areas and volumes. 
11. Sum of the exterior angles of a polygon taken in an order. 
12. Generation of Pythagorean triplets. 
13. Magic squares. 
14. With cuboids of given surface area, finding the one with maximum volume and with cuboids of given volumes finding one with least surface area. 
15. Mathematical designs and patterns. 
16. Indian Mathematicians and their contributions. 
17. To prepare a list of quotations on mathematics.
18. Ramanujan number (1729) 
19. Mathematical Crosswords 
20. Application of Geometry in day-to-day life 
21. Application of Algebra in day-to-day life. 
22. Application of Mensuration in day-to-day life.