Examples of using Affine function in English and their translations into Portuguese
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The epigraph of a real affine function g: Rn→R is a halfspace in Rn+1.
We concluded proposing a course of extension andclass plans for the teaching of the affine function.
In this work we studied the important concept of affine function, their purposes and teaching.
The linear pattern was observed and these points using algebraic resources,students obtained an expression of affine function.
I delimited my job choosing the theme affine function, which is usually presented to students in the 1st year of high school.
We observed that difficulties to analyze andbuild the function of the graphic of the affine function occurred with bo.
With this focus in mind we decided to assess this approach on the affine function carried on in mathematics books in the 9th grade of elementary school and the 1st year of high school.
In mathematics, a linear approximation is an approximation of a general function using a linear function more precisely, an affine function.
Specific objectives were also articulated,namely to recognize the probable learning difficulties during the affine function classes, to identify the possible aspects of the narratives that help in the understandin.
This search aimed to analyze the use of different semiotic representations, by undergraduates in mathematics,for the work with affine function.
The activities presented include the concept of functions, affine functions and quadratic functions. .
In order tohave an idea about what is being produced in the educational field in brazil we analyzed some researches that deal with the affine function.
In this sense, one can realize that the teaching of affine function has also evolved and can be introduced using as example questions and/or situations of day-by-day student, because of the widespread use of this function in several areas.
This research aims to understand how activities involving encryption problems can assist students to explore the ideias associated with affine functions.
The purpose of this research was to identify andanalyse the evolution in the attribution of sense to the notion of affine function in students, from the first to the sixth semesters, in the degree in mathematics teaching at a university in the great são paulo area.
Based on the analysis result we summarized some of the difficulties presented by the students, in the grades mentioned above,who participated in those researches had to face and deal with the affine function.
Thus, in this study, we sought to show, in a simple and objective way,the detailed study of the affine function in middle school, through concepts, calculations and examples showing how to apply the content studied, more understandable to the student.
In the mathematics educational context some researches have showed that learners in both elementary andhigh school have difficulties when it comes to working in situations that involve affine function.
In order to create the educational productresulted from this dissertation, twelve activities about the teaching of the affine function were selected from math textbooks, which were reviewed by the department of basic education, related to the national textbook program pnld.
This research aims to develop a didactic sequence that can help mathematics teachers in the processof teaching andlearning in relation to the concept of affine function, using experiments of physics.
The activities include the study of functions, affine function, quadratic function and trigonometric functions and are designed to be worked on in the classroom under the supervision of the teacher as a facilitating tool in the learning process.
In the second stage, it was realized two workshops with two hours duration each, to eleven teachers, in which it was showed experiments of physics andhow they can help in learning the content of affine function.
The goal was offer conditions for students,beginning with pre-arranged activities, to build the concept of affine function, starting from a problem and, after that, have a clue of this concept by doing simulations in the geogebra environment, taking the first role in this process.
This research aims to create guided activities in the history of mathematics, carried out through mathematical investigation, and information and communications technologies, to encompass andcontextualize concepts of affine function and statistics in high school.
Considering that, the present work shows a proposal of teaching affine function, structured from the assumption of meaningful learning theory and from the methodological proposal of teaching fedathi sequence, using as an auxiliary technological resource the software geogebra.
This activity is focused on the basic principles of mathematical modeling, from the choice of the topic andthe assumptions made in the process to the obtention of an affine function(object of study) that models the cost of each company, concluding with a critical analysis of the found results.
The necessary conditions are sufficient for optimality if the objective function f{\displaystyle f} of a maximization problem is a concave function, the inequality constraints g j{\displaystyle g_{j}} are continuously differentiable convex functions and the equality constraints h i{\displaystyle h_{i}} are affine functions.
This sequence was constitute by 41 items, such as:13 questions about the inverse of affine function, 6 about the inverse of quadratic and exponential functions, 9 about the characterization of affine function, 7 about the characterization of the exponential function and 6 concerning the characterization of the function quadratic.
The situation was structured taking as a starting point the instrumentalization of software programmes, the one which supports communication and interaction and modellus,the modeling software which allows the exploration of situations involving quadratic and affine functions, considering the discussions of cscl theory.
Thereby, in this work, concepts and properties of the cartesian plane are described,the concept of function,, the affine function definition, zero or root of an affine function, the growth and decline of an affine function, the graph of an affine function and relations between affine function, geometry and proportionality.