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Visualization with GInMA in algebra teaching

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## Visualization with GInMA in algebra teaching

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**Visualization with GInMA in algebrateaching**deoma-cmd.ru. Vladimir Shelomovskii, Svetlana Nosulya**InMA and GInMA**InMA for teaching InMAprovides visualizationand deeper understanding of Mathematics. GInMA for research GInMA broadens the opportunities of interactive research in the field of Mathematics.**InMA idea**We have divided school math in 4000 problems and have created files for each of them. Teachers use given files and change parameters only.**InMA: more than 4000 interactive solutions on all**mathematical themes Multiplication of Polynomials We show students the rules of Multiplication of Polynomials. Problem 1 remembers standard formulation of the rule. Problem 2 shows fountain visualization of the rule. Problem 3 remembers how to expend the expressions. Problem 4 shows how to simplify the expressions. You can change every coefficient in polynomials. Use InMA 7, English, Multiplication of Polynomials**InMA: more than 4000 interactive solutions on all**mathematical themes Use InMA 8, English, Sets**InMA: more than 4000 interactive solutions on all**mathematical themes Graphical solution of the set of inequalities You may use 4 × 4 types of inequalities and 4 × 4 signs in inequalities. Step 1 shows the rules of the solution. Step 2 shows the solution of the first inequality. Answer shows the solution of the set. Solid curve shows boundary points which are the solution, dotted curve shows boundary points which aren’t the solution. Use InMA 9,English, Graphical solution of the set of inequalities**InMA: more than 4000 interactive solutions on all**mathematical themes Game of nim (miser) The game of nim teaches students to use opportunities presented by mathematics and helps to form abstract thinking. Unexpected jump into the number systems with base 2 or 3 is very useful for those people who love the word "impossible". Use InMA 11, English, 6. Games, Game of nim**InMA: more than 4000 interactive solutions on all**mathematical themes Game of Biggest number The game of Biggest number teaches students basics of economic games with a stop. Mathematician-economist should understand how to justify the decision point in the economy, to assess the probability of a correct solution and the price of additional information. The set contains k random unequal positive integers in turn given to a gamer. The gamer can choose the submitted number or skip. The gamer wins if he selects the biggest number. Select k. Use buttons «Start», «Lead», «To get» when play. Use InMA 11, 6. Games. Biggest number**GInMA idea**We have made DGS and Library of more than 800 examples and samples. Users start from PDF, explore geometric drafts in shareware, make and save their own files in payware.**GInMA for teachingYou can make all the details of the**construction on your own.Enter an interactive file clicking the picture. Plots 2D and 3D We may construct any plot, perpendiculars, tangent lines.**GInMA for teaching You can make all the details of the**construction on your own .Enter an interactive file clicking the picture. Distance between solids We may show students the illustration of the concept of distance between solids, construct perpendiculars, tangent planes and distance segments.**GInMA for teaching All details of the construction you can**make on your own.Enter an interactive file clicking the picture. Parametric problems We may show students how the surface transforms when a parameter changes.**GInMA for teaching You can make all the details of the**construction on your own .Enter an interactive file clicking the picture.**GInMA for teachingCurvesSome examples from our curves**library**GInMA for teaching You can make all the details of the**construction on your own .Enter an interactive file clicking the picture. Solutions of equations sets We may show students why the red line is a common tangent line for two surfaces.**GInMA for teaching You can make all the details of the**construction on your own .Enter an interactive file clicking the picture. Solutions of inequalities set We may see a solid which is the solution of given inequalities set.**GInMA for teaching**Content list and some examples from our Extremum library