The data also indicated that the use of a graphical environment, which made dynamic essays, as well as the interaction provided by the use of graphmatica software, are fruitful contexts for learning. As it had been foreseen, the GE presented better results in the after-test than the GC. The data that were collected in this research were analyzed from a quantitative as well from a qualitative perspective (relative to the diagnostic instruments), as of the qualitative one (relative to the intervention of education). GE participated in the three phases of the study, whereas the relative GC participated only in the phase of the diagnostic instruments (pre-tests and after-tests), but did not participate in the Intervention of Education. The theoretical ideas that supported this study came from the Theory of Didactic Situations (BROUSSEAU, 1996), the Theory of the Conceptual Fields (VERGNAUD, 1998) and also the vision of the use of technologies in the light of the Etnomatematica (DAMBROSIO, 1998). The research was carried out within three phases: Pre-testing, Intervention of Education and After-testing. With this objective in mind, the study intends to answer the following question of research: What are the contributions to the education of relative concepts of first degree function that an intervention made with the use of the software graphmatica can bring? In order to do so, we carried out an almost-experimental study with students of two classes of 3 rd grader in a public high school in Cotia - SP, which had composed the groups of the study: the experimental group - GE - and the control group - GC. You will need to change the range of x to 0 to 360 to get the full graph.The objective of this study was to investigate the possibility of the appropriation of the concept of first degree functions to students of 3 rd grader of high school, from an intervention of education subsidized by technological tools. You can convert using the degrees symbol or the constant d: Note: by default, all trig functions work in radians, not degrees. X and y as functions of t in parametric form You may reference these functions and constants in the same way as the built-in ones. Graphmatica jest niewielkim ale bogatym w opcje narzdziem pozwalajcym rozwizywa wiele operacji matematycznych. Note that you may also define your own single-variable functions or constants using the Functions and Constants item in the Tools menu. Truncate towards zero (ceiling for x = 0) Perform summation of a sequence or convergent infinite series. Heaviside step function: step(x) = 0, for x 0 Pseudo-random (time-based) number between 0 and arg Greatest integer ( notation not supported) This may be used to prevent overflow when the desired expression is actually something like gamma(x)/e^x. The natural logarithm of the gamma function. The statistical function Γ, defined by the recurrence relation Γ(x+1) = x Γ(x) Synonym for int (greatest integer less than or equal to the argument) Either end may be left open by omitting an operand. 2 m is the start of the domain and n is the end. Specify domain exclusive of m and inclusive of nġ parentheses may be nested to any extent, and you can alternate between ( and [ to aid you in balancing your expressions, but the parser will not differentiate between ( and [. Separate halves of a parametric equation or clauses in a piecewise-defined function Modulo (remainder after integer division)Ībsolute value of expression between "|" characters Less than or equal, greater than or equal ( Special Characters in the Edit menu) to enter characters that don't appear on your keyboard. You can use the Special Characters tool window Graphmatica supports the following operators, functions, and variables in your equations and user-defined functions. Questions? Problems? Please contact me at for additional
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