1. THERORETICAL BASE OF
MATHEMATICS EDUCATION-II
SEMINAR ON NATURAL
RESOURCES
Submitted by,
BINTU GEORGE JACOB
CLASS NUMBER : 7
OPTION : MATHEMATICS
MOUNT TABOR TRAINING COLLEGE,
PATHANAPURAM

2. NATURAL RESOURCES
Natural resources occur naturally within environments that exist relatively undisturbed by
humanity, in a natural form. A natural resource is often characterized by amounts
of biodiversity and geodiversity existent in various ecosystems. Natural resources are derived
from the environment. Some of them are essential for our survival while most are used for
satisfying our needs. Natural resources may be further classified in different ways.
Natural resources are materials and components (something that can be used) that can be
found within the environment. Every man-made product is composed of natural resources (at its
fundamental level). A natural resource may exist as a separate entity such as fresh water, and air,
as well as a living organism such as a fish, or it may exist in an alternate form which must be
processed to obtain the resource such as metal ores, oil, and most forms of energy.
There is much debate worldwide over natural resource allocations, this is partly due to
increasing scarcity (depletion of resources) but also because the exportation of natural resources
is the basis for many economies (particularly for developed nations such as Australia).Some
natural resources such as sunlight and air can be found everywhere, and are known as ubiquitous
resources. However, most resources only occur in small sporadic areas, and are referred to as
localized resources. There are very few resources that are considered inexhaustible (will not run
out in foreseeable future) – these are solar radiation, geothermal energy, and air (though access
to clean air may not be). The vast majority of resources are exhaustible, which means they have a
finite quantity, and can be depleted if managed improperly.
Classification
Congruence:-
We first divided the studies into four methodological types that indicated whether the
study was a relatively detailed case study, a statistical study, a synthesis study, or an abstract
study. The first three methodological types are empirical studies, whereas the fourth type is not.
The following descriptions were used as a guide in determining the type of each study. A
detailed study contained a detailed description of one or more cases of community-based CPR
management. Detailed studies included single and comparative case studies and in-depth meta-analyses
of cases conducted by others. A statistical study contained a statistical analysis of many
cases without exploring their individual properties in depth. A synthesis study combined findings
from two or more cases, but did not contain the detail needed to produce case-specific
conclusions regarding the design principles. An abstract study contained a primarily abstract or
theoretical argument, with only anecdotal references to cases or empirical data.
similarity:-
mathematical theories and tools to better manage the state's fisheries and natural
resources.The Centre for Applications in Resource Management (CARM), based in the School of
Mathematics and Physics, will help position Queensland among the international leaders in the
field of applied resource management and mathematics.

3. Ratio and proportion:-
Resources Required lists the resources which will be needed in the teaching and to enable
students understand the concepts of ratio and proportion. Prior Knowledge. Students have prior
knowledge of natural numbers, integers, fractions.
Geometrical shapes:-
The mathematics curriculum is designed to meet the needs of students who plan to go to
college, enter Natural resources with the information necessary to analyzegeometric figures in
terms of the relationships of the angles.
Symmetric property:-
The most familiar type of symmetry for many people is geometrical symmetry. A
geometric figure (object) has symmetry if there is an "operation" or "transformation" (technically,
an isometry) that maps the figure/object onto itself; i.e., it is said that the object has
an invariance under the transform. For instance, a circle rotated about its center will have the
same shape and size as the original circle—all points before and after the transform would be
indistinguishable. A circle is said to be symmetric under rotation or to have rotational symmetry.
If the isometry is the reflection of a plane figure, the figure is said to have reflectional
symmetry or line symmetry; moreover, it is possible for a figure/object to have more than one
line of symmetry.
The types of symmetries that are possible for a geometric object depend on the set of
geometric transforms available, and on what object properties should remain unchanged after a
transform. Because the composition of two transforms is also a transform and every transform
has an inverse transform that undoes it, the set of transforms under which an object is symmetric
form a mathematical group.
The most common group of transforms applied to objects are termed the Euclidean
group of "isometries," which are distance-preserving transformations in space commonly
referred to as two-dimensional or three-dimensional (i.e., in plane geometry or solid
geometry Euclidean spaces). These isometries consist of reflections, rotations, translations, and
combinations of these basic operations. Under an isometric transformation, a geometric object is
said to be symmetric if, after transformation, the object is indistinguishable from the object
before the transformation, i.e., if the transformed object is congruent to the original. A geometric
object is typically symmetric only under a subset or "subgroup" of all isometries. The kinds of
isometry subgroups are described below, followed by other kinds of transform groups and by the
types of object invariance that are possible in geometry.