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Old 10-03-2011, 04:08 PM   #1
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Default MATHEMATICS LABORATORY IN SCHOOLS_2-north face wat

MATHEMATICS LABORATORY IN SCHOOLS,Nike WoMen's Air Max 1
MATHEMATICS LABORATORY IN SCHOOLS

It is a place where:

1)????? Students do experiments with numbers and geometrical shapes and try to generalize these patterns.

2)??? Students do most of their calculations with the help of scientific calculators.

3)??? Students draw graphs of big,0 number of features with the help of scientific or graphic calculators and try to become familiar with graphs of all the functions they normally handle with.

4)??? Students solve real life problems with real data because intricate calculations are not longer a major consideration.

5)??? Students express their answers to mathematics problems in decimal mathematics and not in symbols and have a agreeable idea almost their magnitudes.

6)??? Students acquire,0 practice in estimating mandates of magnitudes and acquiring resemble answers when exact answers are difficult to find.

7)??? Students make designs and models to illustrate algebraic ideas.

8)??? Students do nearly whole,0 the go themselves, of way under the guidance of teachers, merely the students are athletic all the time and are involved with what they are doing.

9)??? The creativity of students is granted free activity.

10) Students solve graphically equations involving all types of functions.

11)? Students are free to discuss among themselves and with the teachers; in fact students and teachers manner joint investigating teams.

12) Students find areas and volumes of either normal and abnormal solids.

13) Students undertake projects both in mathematics and its applications.

14) The concepts and theorems are not given to the students; these appear certainly from their inquiries.

15) Interfaces between algebra, geometry; probability; calculus etc are freely investigated and discussed.

16) ?Attempts are made to interpret every symbolic solution.

17) The process of mathematics is emphasized many extra than the production of mathematics.

18) Students are encouraged to find alternative solutions and option methods of solving problems.

19) Students enjoy studying mathematics.

Before we continue further, let us browse as to why students do not just well in mathematics. The reasons are not difficult to find.

It is not because:

i)?????????????????? Students are incapable to solve decisive problems,

ii)??????????????? Or, students are not competent to memorize formulae etc.

But, it is due the fact that there are some inherent weaknesses in the instructing of present day mathematics. These are listed below:

1)????? Mathematics is taught as one abstract subject.

2)??? Mathematics education is far cleared from applications.

3)??? Mathematics is taught as an insulated subject.

4)??? There is too much accent on symbols and their manipulations and relatively mini on problem solving.

5)??? Too much time is spent on customary monotonous drill type arithmetical calculations.

6)??? The aim,0 of numbers pedagogy appears to be passing examinations in mathematics and no comprehending mathematics and its applications or developing capability to think mathematically.

7)??? Instead of developing creativity, mathematics education encourages conformity to criterion methods.

8)??? It trains students to think that there should be only one method of solving mathematics problems.

9)??? It trains students to think that there can be only one solution to a problem.

10) Mathematical proficiency is constantly disturbed with proficiency in making arithmetical calculations.

11)? The process by which mathematics is established is seldom taught or emphasized.

12) Mathematics is presented as a purely deductive science whereas it is also as much an experimental science as physics or biology.

13) ?Geometric and Physical visualizations remain quite feeble.

14) Even geometric objects become fair narrations between symbols and are not bends or surfaces.

15) ?It convinces the students that the only law which materials is the linear law.

16) ?Students develop no idea of the order of importance of the results they get.

17) ?Students are passive learners.

18) ?Students do not speak mathematics, discuss mathematics or think mathematics.

19) ?Mathematics is taught as a collection of topics.

20)?????????????????????? The historical development of mathematics is never accentuated.

Thus the objective of a mathematics studio is to:

a)???? Remove the disabilities of present daytime mathematics education which the mathematics laboratory and the mathematics laboratory unattended can do it.

b)??? To develop the many needed positiveness in students.

c)???? To generate interest in the subject.

d)???? To make the students divergent thinkers.

Having looked ��WHAT�� and ��WHY�� of a mathematics laboratory let us now discuss the ��HOW�� of it.

Time-table Re-scheduling:

While preparing class-wise time-table, in JNVs, the provision for mathematics practical periods may be made in the retinue manner:

From classes VI to X, there is a provision of one theory period of mathematics in each class in every day working time-table. Also in each class two periods for ��ART�� are apportioned per week. It is suggested that one theory period of mathematics may be combined with one period of craft and the combined periods may be re-named as ��MATHEMATICS PRACTICAL PERIODS��. This direction in five days each class will have an opportunity to visit the laboratory. As regards classes XI and XII are cared, the students normally opt both mathematics or biology. The students opting mathematics can be taken to the laboratory during the practical periods for biology.

Layout of a mathematics laboratory:

The ideal mathematics laboratory will have the following sections:

1)????? Section for job dispute and blueprinting the solution.

2)??? Section for making sketches, drawings for catching observations.

3)??? Section for reporting the results.

4)??? Section for making the working models as per job descriptions.

5)??? Computer section for doing experiments of mathematics on calculators.

The above sections (treads to be acted by students) need be argued by the educator in-charge,nike air max 90 current huarache, in the laboratory. Before the children are inquired for execution, the educator should explain the planning portion as well as he/she should assist them in identifying the proper solution in respect of alternative of appropriate tools and their use in execution. The teacher should too explain the use of computers in discovery the solution and the manner,0 of checking the precision of the solution already found in the laboratory.

Furnishing Mathematics Laboratory:

Sufficient furniture should be provided in the laboratory to do experiments and at the same time for displaying the working models and other manner of taking observations; to carry out experiments and make a clear understanding about the use of procedural tools in engineering projects.? These models are made out of discarded dolls and garbage articles found around us. This reach increases the creativity, scientific development of the brain of the children, and satisfies their ardor to do something current and solitary.

Raw Materials:

To enable the students to work in a mathematics laboratory, there should be a few cabinets to cache raw materials, which can be published to the students when they come to the lab for doing practical work. The list of some of the necessary raw materials is as under:

I)???????????????? Circular discs: Plates of assorted diameters may be slit ashore thermo Cole sheets or may be plastic metal discs bought from the mall to decide the worth of ? or such additional experiments.

II)??????????? There should be square/rectangular plates cut from thermo Cole sheets, different solids like cone, cylinder for painting different fashions and production observations for assorted computations.

III)??????? A thick card sheet, capable of folding, to prepare packaging boxes, envelops etc or other small objects.

IV)??????????? The students will be necessitated to use drawing sheets, graph papers, cutting tools, thread, small balls made of different materials, prepared reckoners, rubric cube, calculators etc.

Measuring Equipment:

1)????? Measuring tapes 30m; 10m; 2m; 1m and smaller lengths, pointers (iron wire hooks 20 to 30 cm long; 2.5 mm in diameter)- they perform as stakes to mark points on the field ; pipe chasm 1m long ; 10 mm in diameter, pointed at one end; drew with red and white strips- used for making solar observations and determination of N-S intention by a place and also finding out the angle of height of the Sun at any time.

2)??? Plain mirror, plum bob suspended from a nail, drawing embark , little drafter, vernier calipers , working models to verify law of parallelogram of forces, triangle of forces etc.

Display models:

1)????? Children are assigned mission to assume suitable devise data to prepare models and keep them for display in the lab. This includes different types of packing boxes; tents-pyramid shaped; circuitous and dome shaped etc.

2)??? Storing typical shaped can cans or periodical parcels like a tetrahedron; prism; cylindrical shaped which are available in the market for packing milk or beverage. The children are assigned task to imagine suitable design data to prepare charming packets for liquid contents.

3)??? Certain models are prepared to demonstrate the principles used in making some scientific instruments, e.g. optical square; cross staff; telescope; kaleidoscope etc. The students thus come to know the use of such technological equipments.

Working Models:

1)????? Plane co-ordinatograph: It is a model prepared in the lab and used for making observations of co-ordinates of various points in a plane. This is of excellent help to explain the basic concepts of co-ordinate geometry in 2 dimensions. Students are asked to take observations of points and write equations of episode ray; reflected ray; equations of surrounds; parabola; plane; straight lines; tangent widths etc on the basis of co-ordinates observed on the working model. The students can understand the transformation of one system of co-ordinates into the other, trigonometric percentages and their applications etc.

2)??? Plane Space Co-ordinatograph: It is a model prepared in the lab and used for making observations of co-ordinates of various points in the space above the surface. This is of great help to explain the basic concepts of co-ordinate geometry in 3 dimensions. Students are asked to take observations of points in space; write equations of straight lines in space and situate points in space. The students can understand the transformation of one system of co-ordinates into the other. With such experiments, kid come to know how to determine the distances of cloud; sun; moon; space art at the time of Arial photography etc.

3)??? Dip Measurement Model: It is a model made out of transparent plastic cylinder to characterize railway tanker. This demonstrates how easily the fluid contents or the volume can be insistent in case of cylindrical tanker making few observations.

4)??? Water analog model: It is a model to take observations for filling the pond by different taps having different rates of unload. Such observations enable the students to formulate quadratic equations and find out their solutions. Such working models semblance can be applied in solving different types of problems narrated to the formation of quadratic equations on the root of given conditions. Also the observations may be used to tackle problems based on dispersion theory and decision of the maximum likely value in a set of observations.

5)??? Model To Make Observations of Time Periods: A pendulum is suspended in the lab and time time for the oscillations are scrutinized. This leads to the value of g, the haste deserving to gravity.

6)??? Equilibrium Forces Analog Model: This prototype namely accustom to formulate the equations of equilibrium.

The Concept:

On the lines of science laboratory, the concept of mathematics laboratory may be visualized and adult. It is a place where every one should get an opportunity to build correlation of one subject with allied subjects.

The basic linear equation answering the absences of mathematics laboratory is:

Ml = aiXi + bi Ym + ciZo ; where:

Ml denotes activities in mathematics laboratory.

Xi denotes necessary infra structure.

The coefficients are:

a1 denotes library and reference paperbacks.

a2 denotes furniture layout.

a3 denotes laboratory equipment- Computers; Calculators; Geometry Box; Cutting Tools; Letter-Stencils; Drawing Equipment; Mathematical Charts; Logarithm charts etc.

Ym denotes necessary mode of working and management tools.

The coefficients are:

b1 denotes Computations guiding to pleasing outputs.

b2 denotes Making drawings and sketches to annotate the procedure.

b3 denotes Analysis and determination from set of observations.

b4 denotes Field layout and model making to attain the objectives.

Zo denotes the digit of objectives related with the play.

For example: an activity for determining the ecology of ? may have the following objectives:

c1 denotes : What is ??

c2 denotes: What is the value of ??

c3 denotes : Whether ? is reasonable or irrational?

Now in the end,0 I suggest some activities which can be done in the mathematics laboratory:

1)????? Mathematics laboratory- Definition.

2)??? Activity 1: Mathematics laboratory- Introduction.

3)??? Activity 2: Half Life.

4)??? Activity 3: One-Less.

5)??? Activity 4: Doubling.

6)??? Activity 5: Span.

7)??? Activity 6: Roller.

8)??? Activity 7: Center-Point.

9)??? Activity 8: Bigger.

10) ?Activity 9: Equals.

11)? Activity 10: Side at Side.

12) ?Activity 11: Paper art.

13) ?Activity 12: Cut Away

14) ?Activity 13: Impossible Challenge.

15) ?Activity 14: Get triangle equal in district,0 to a parallelogram.

16) ?Activities 15,pink air max 95, 16: Quick Calculations.

This is not the exhaustive account of activities to be performed in the laboratory. Many more activities may be thought of and performed in the laboratory.

The details of the above said activities are accessible in the accompanying CD. These can be viewed using Microsoft Power Point and clicking to view slip show.
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