LEADER 04690nam 22007695 450 001 9910299964803321 005 20230810230300.0 010 $a94-017-8622-4 024 7 $a10.1007/978-94-017-8622-5 035 $a(CKB)3710000000112081 035 $a(EBL)1731546 035 $a(OCoLC)884589892 035 $a(SSID)ssj0001241406 035 $a(PQKBManifestationID)11949352 035 $a(PQKBTitleCode)TC0001241406 035 $a(PQKBWorkID)11210726 035 $a(PQKB)11474587 035 $a(MiAaPQ)EBC1731546 035 $a(DE-He213)978-94-017-8622-5 035 $a(PPN)17878124X 035 $a(EXLCZ)993710000000112081 100 $a20140508d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aComputational Experiment Approach to Advanced Secondary Mathematics Curriculum /$fby Sergei Abramovich 205 $a1st ed. 2014. 210 1$aDordrecht :$cSpringer Netherlands :$cImprint: Springer,$d2014. 215 $a1 online resource (333 p.) 225 1 $aMathematics Education in the Digital Era,$x2211-8144 ;$v3 300 $aDescription based upon print version of record. 311 $a94-017-8621-6 320 $aIncludes bibliographical references and index. 327 $aPreface -- 1. Theoretical foundations of computational experiment approach to secondary mathematics -- 2. One-variable equations and inequalities: the unity of computational experiment and formal demonstration -- 3. Computationally supported study of quadratic functions depending on parameters -- 4. Computational experiment approach to equations with parameters -- 5. Inequalities with parameters as generators of new meanings -- 6. Computational experiments in trigonometry -- 7. Advancing stem education through temp: Geometric probabilities -- 8. Exploring topics in elementary number theory through a computational experiment -- References.              . 330 $aThis book promotes the experimental mathematics approach in the context of secondary mathematics curriculum by exploring mathematical models depending on parameters that were typically considered advanced in the pre-digital education era. This approach, by drawing on the power of computers to perform numerical computations and graphical constructions, stimulates formal learning of mathematics through making sense of a computational experiment. It allows one (in the spirit of Freudenthal) to bridge serious mathematical content and contemporary teaching practice. In other words, the notion of teaching experiment can be extended to include a true mathematical experiment. When used appropriately, the approach creates conditions for collateral learning (in the spirit of Dewey) to occur including the development of skills important for engineering applications of mathematics. In the context of a mathematics teacher education program, this book addresses a call for the preparation of teachers capable of utilizing modern technology tools for the modeling-based teaching of mathematics with a focus on methods conducive to the improvement of the whole STEM education at the secondary level. By the same token, using the book?s pedagogy and its mathematical content in a pre-college classroom can assist teachers in introducing students to the ideas that develop the foundation of engineering profession. 410 0$aMathematics Education in the Digital Era,$x2211-8144 ;$v3 606 $aMathematics$xStudy and teaching  606 $aMathematics$xData processing 606 $aEducation$xData processing 606 $aComputer software 606 $aLearning, Psychology of 606 $aMathematics Education 606 $aComputational Mathematics and Numerical Analysis 606 $aComputers and Education 606 $aMathematical Software 606 $aInstructional Psychology 615 0$aMathematics$xStudy and teaching . 615 0$aMathematics$xData processing. 615 0$aEducation$xData processing. 615 0$aComputer software. 615 0$aLearning, Psychology of. 615 14$aMathematics Education. 615 24$aComputational Mathematics and Numerical Analysis. 615 24$aComputers and Education. 615 24$aMathematical Software. 615 24$aInstructional Psychology. 676 $a510.78 700 $aAbramovich$b Sergei$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721174 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299964803321 996 $aComputational experiment approach to advanced secondary mathematics curriculum$91410009 997 $aUNINA