Models

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In the manual science teachers can find practical steps and examples of how to use the developed pedagogical tools - models, examples and experiments in their everyday educational process. The manual is based on the approach for development of comprehension in science education, in particular the development of reverse thinking and the fact that its existence is a direct sign of understanding. The manual aims to significantly ease the the job of teachers and give in their hands ready-to-use tools to support learning of students, since it is quite a difficult job to create the right models for each science concept and it may take too long to explain without them the new study subject.

Manual to work with the GoScience database of tools in mathematics

mathematics

abscissa

Scientific definition

The horizontal ("x") value in a pair of coordinates. How far along the point is. Always written first in an ordered pair of coordinates such as (12,5 ...

mathematics

addition

Scientific definition

The addition of two numbers is the total amount of those values combined.

mathematics

An ordinary fraction

Scientific definition

An ordinary fraction is a pair (a, b) of two natural numbers a and b, with b different by 0. The top number is the numerator and the bottom is the ...

mathematics

angle

Scientific definition

In plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angl ...

mathematics

area

Scientific definition

Is the quantity that expresses the extent of a two-dimensional figure or shape, or planar lamina, in the plane.

mathematics

axis

Scientific definition

They are two perpendicular straight lines that intersect in a point called the origin of coordinates (0,0). The X axis is the one that runs horizon ...

mathematics

binary

Scientific definition

Binary refers to the process of combining two objects.

mathematics

circle

Scientific definition

A circle is a shape consisting of all points in a plane that are a given distance from a given point, the center; equivalently it is the curve traced ...

mathematics

circumference

Scientific definition

A circumference is a curved line where all its points are at the same distance of another one, called center.

mathematics

coefficients

Scientific definition

Is the number that multiplies the literal part in a monomial.

mathematics

columns

Scientific definition

Elements that are placed vertically.

mathematics

common ratio

Scientific definition

A geometric sequence is a group of numbers that is ordered with a specific pattern. The pattern is determined by a certain number that is multiplied ...

mathematics

cone

Scientific definition

A cone is a solid object that is formed when a right triangle is rotated around one of its two short sides, the cone's axis. The hipothenuse of ...

mathematics

constant

Scientific definition

Constant means non-varying. Constant may have two different meanings. It may refer to a fixed and well-defined number or other mathematical object. T ...

mathematics

coordinate

Scientific definition

A set of values that show an exact position. On graphs it is usually a pair of numbers: the first number shows the distance along, and the second num ...

mathematics

curve

Scientific definition

A curve (also called a curved line in older texts) is, generally speaking, an object similar to a line but that need not be straight.

mathematics

degree

Scientific definition

The degree of a polynomial is the highest power of the variable that occurs inside that polynomial.

mathematics

denomenator

Scientific definition

The denomenator shows how many parts the whole was divided into.

mathematics

denominator

Scientific definition

The bottom number is the Denominator, it is the number of parts the whole is divided into.

mathematics

diameter

Scientific definition

The distance from one side of the circle, to the other, passing through the center.

mathematics

divisor

Scientific definition

A divisor of an integer n, also called a factor of n, is an integer which evenly divides n without leaving a remainder. 

mathematics

Ellipse

Scientific definition

When the plane forms an angle 0º < a <180º with the axis, it is neither perpendicular nor parallel to the generator of the cone.

mathematics

geometric sequence

Scientific definition

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

mathematics

helix

Scientific definition

In mathematics, a spiral is a curve which emanates from a point, moving farther away as it revolves around the point.

mathematics

Hyperbola

Scientific definition

When the plane is parallel to the axis of the cone.

mathematics

input

Scientific definition

The domain of the function.

mathematics

intersection

Scientific definition

The place (point) where two lines or segments meet.

mathematics

literal part

Scientific definition

The literal part of an algebraic expression is constituted by the letters (variables) and their exponents.

mathematics

molecular bond

Scientific definition

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mathematics

monomials

Scientific definition

An algebraic expression consisting of one term.

mathematics

multiple

Scientific definition

A multiple of a number is another number which, divided by the number, leaves no remainder.

mathematics

multiplication

Scientific definition

Multiplication is a mathematical operation performed on a pair of numbers in order to derive a third number called a product. For positive integers, ...

mathematics

numerator

Scientific definition

The top number in a fraction is the numerator and shows how many parts were taken from the whole.

mathematics

operation

Scientific definition

In mathematics, an operation is a calculation from zero or more input values to an output value.

mathematics

ordinate

Scientific definition

The vertical ("y") value in a pair of coordinates. How far up or down the point is. Always written second in an ordered pair of coordinates such as ( ...

mathematics

output

Scientific definition

The range of the function.

mathematics

Parabola

Scientific definition

When the plane is parallel to the cone generator.

mathematics

parallel

Scientific definition

Two straight lines are parallel when they are in the same plane but do not intersect, which means that do not have a point in common.

mathematics

Parallel lines

Scientific definition

Parallel lines are two lines that are always at the same distance and never touch.

mathematics

plane

Scientific definition

A flat, two-dimensional surface that extends infinitely far.

mathematics

points

Scientific definition

A point is an exact position or location on a plane surface.

mathematics

polygon

Scientific definition

A plane figure with at least three straight sides and angles, and typically five or more.

mathematics

powers

Scientific definition

Is the abbreviation of a product of the same number for itself many times. A power is composed by the base (the number that is multiplied by itself m ...

mathematics

radius

Scientific definition

A straight line from the center to the circumference of a circle or sphere.

mathematics

random

Scientific definition

Without order. Not able to be predicted. Happening by chance.

mathematics

rectangles

Scientific definition

A plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.

mathematics

rows

Scientific definition

Elements that are placed horizontally.

mathematics

sample

Scientific definition

An outcome of a random experiment. When we sample a random variable, we obtain one specific value out of the set of its possible values. That particu ...

mathematics

segment

Scientific definition

It is the part of a straight line that is limited by two points.

mathematics

set

Scientific definition

In mathematics, a set is a collection of distinct objects, considered as an object in its own right.

mathematics

similar monomials

Scientific definition

Two or more monomials are similar if they have the same literal part.

mathematics

terms

Scientific definition

A term is a monomial which is part of a polynomial.

mathematics

the axis of revolution

Scientific definition

Is the straight line around which the curve rotates.

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