"Rozv\u00EDjen\u00ED kultury \u0159e\u0161en\u00ED matematick\u00FDch probl\u00E9m\u016F ve \u0161kolsk\u00E9 praxi" . "strategies of problem solving method of generating problems investigative approach to problem solving"@en . "GAP407/12/1939" . . . . . . . . . "2016-12-31+01:00"^^ . "1"^^ . . "V\u00FDzkum \u0159e\u0161en\u00FD v r\u00E1mci projektu, bude zam\u011B\u0159en na hlub\u0161\u00ED porozum\u011Bn\u00ED vztah\u016Fm mezi form\u00E1ln\u00EDmi charakteristikami probl\u00E9m\u016F a postupy, kter\u00E9 \u017E\u00E1ci pou\u017Eij\u00ED p\u0159i jejich \u0159e\u0161en\u00ED. C\u00EDlem je z\u00EDskat hlubok\u00FD vhled do jev\u016F u\u010Den\u00ED a u\u010Den\u00ED se matematice. Hlavn\u00EDmi sm\u011Bry, na kter\u00E9 se \u0159e\u0161itelsk\u00FD t\u00FDm zam\u011B\u0159\u00ED, budou:1.Rozvinut\u00ED teorie \u0159e\u0161en\u00ED probl\u00E9m\u016F a jejich tvorby p\u0159edev\u0161\u00EDm v t\u011Bchto oblastech:a)vyu\u017E\u00EDv\u00E1n\u00ED d\u016Fle\u017Eit\u00FDch z\u00E1kladn\u00EDch strategi\u00ED \u0159e\u0161en\u00ED probl\u00E9m\u016F (zobecn\u011Bn\u00ED a konkretizace, analogie, cesta zp\u011Bt, vypu\u0161t\u011Bn\u00ED podm\u00EDnky, atd.) b)vytv\u00E1\u0159en\u00ED p\u0159edstavy v\u00FDzkumn\u00E9ho p\u0159\u00EDstupu k \u0159e\u0161en\u00ED probl\u00E9m\u016F a k pronik\u00E1n\u00ED do matematick\u00FDch situac\u00ED (nap\u0159. strategie pokus-omyl, pokus ov\u011B\u0159en\u00ED korekce, systematick\u00E9 experimentov\u00E1n\u00ED atd.) c)vyu\u017E\u00EDv\u00E1n\u00ED metody generovan\u00FDch probl\u00E9m\u016F, tj. metody konstrukce hrozn\u016F probl\u00E9m\u016F 2. Vytvo\u0159en\u00ED s\u00E9rie probl\u00E9m\u016F, k jejich\u017E \u0159e\u0161en\u00ED je vhodn\u00E9 vyu\u017E\u00EDvat v\u00FD\u0161e uveden\u00E9 strategie a postupy a pomoc\u00ED nich\u017E chceme rozvinout schopnost student\u016F \u0159e\u0161it n\u011Bkter\u00E9 typy matematick\u00FDch probl\u00E9m\u016F. 3. Ov\u011B\u0159en\u00ED s\u00E9rie probl\u00E9m\u016F ve \u0161kolsk\u00E9 praxi. 4. Vyhodnocen\u00ED a korekce teorie na z\u00E1klad\u011B z\u00EDskan\u00FDch v\u00FDsledk\u016F." . "1"^^ . "Odlo\u017Een\u00E1 z\u00E1v\u011Bre\u010Dn\u00E1 zpr\u00E1va"@cs . "2014-05-02+02:00"^^ . . . "22"^^ . . "0"^^ . "http://www.isvav.cz/projectDetail.do?rowId=GAP407/12/1939"^^ . "2012-01-01+01:00"^^ . "22"^^ . "2015-04-23+02:00"^^ . . "Deferred Final Report"@en . . . "Development of culture of problem solving in mathematics in Czech schools"@en . "The research will focus on getting deeper understanding of the relationships between formal characteristics of problems and the procedures pupils use for their solution. The goal is to get a deep insight into the phenomena of teaching and learning mathematics.Team will focus on:1. Development of the theory of problem solving and problem posing:- use of important basic problem solving strategies (generalization and concretization, analogy, repassage, omission of a condition, etc.)- conception of the investigative approach to the solution of problems and to penetration to mathematical situation (e.g. the trial-error strategy, trial verification rectification strategy, systematic experimenting etc.)- use of the method of generated problems2. Construction of clusters of problems whose solution requires the use of the above described strategies and procedures and which develop pupils ability to solve some types of mathematical problems.3. Testing of the clusters of problems in school practice.4. Evaluation and rectification of the theory on the basis of the acquired results."@en . . .