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      Enhancing the process of teaching and learning physics via dynamic problem solving strategies: a proposal

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          Abstract

          The large number of published articles in physics journals under the title "Comments on ..." and "Reply to ... " is indicative that the conceptual understanding of physical phenomena is very elusive and hard to grasp even to experts, but it has not stopped the development of Physics. In fact, from the history of the development of Physics one quickly becomes aware that, regardless of the state of conceptual understanding, without quantitative reasoning Physics would have not reached the state of development it has today. Correspondingly, quantitative reasoning and problem solving skills are a desirable outcome from the process of teaching and learning of physics. Thus, supported on results from published research, we will show evidence that a well structured problem solving strategy taught as a dynamical process offers a feasible way for students to learn physics quantitatively and conceptually, while helping them to reach the state of an Adaptive Expert highly skillful on innovation and efficiency, a desired outcome from the perspective of a Preparation for Future Learning approach of the process of teaching and learning Physics effectively.

          Translated abstract

          El gran número de artículos publicados en revistas de física bajo el título "Comentarios sobre ... " y "Replica a ... " es indicativo de que la comprensión conceptual de los fenómenos físicos es muy escurridiza y difícil de entender incluso para los expertos, pero ello no ha detenido el desarrollo de la Física. De hecho, de la historia del desarrollo de la Física rápidamente nos damos cuenta de que, independientemente del estado de comprensión conceptual, sin el razonamiento cuantitativo la Física no hubiese alcanzado el estado de desarrollo que tiene actualmente. En consecuencia, tanto razonamiento cuantitativo como habilidades en la resolución de problemas son resultados deseables a obtener del proceso de enseñanza y aprendizaje de la Física. Así, con apoyo en resultados de investigaciones publicadas, mostraremos evidencias de que cualquier estrategia para la resolución de problemas presentada como un proceso dinámico ofrece una forma viable para que los estudiantes aprendan física tanto cuantitativa como conceptualmente, mientras que al mismo tiempo los ayuda a alcanzar el estado de un experto adaptable altamente calificado en la innovación y la eficiencia, un resultado deseado desde la perspectiva del enfoque del proceso de enseñanza y aprendizaje de la Física con efectividad en función de una Preparación para el aprendizaje futuro.

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          Most cited references45

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          Rapid planetesimal formation in turbulent circumstellar discs

          The initial stages of planet formation in circumstellar gas discs proceed via dust grains that collide and build up larger and larger bodies (Safronov 1969). How this process continues from metre-sized boulders to kilometre-scale planetesimals is a major unsolved problem (Dominik et al. 2007): boulders stick together poorly (Benz 2000), and spiral into the protostar in a few hundred orbits due to a head wind from the slower rotating gas (Weidenschilling 1977). Gravitational collapse of the solid component has been suggested to overcome this barrier (Safronov 1969, Goldreich & Ward 1973, Youdin & Shu 2002). Even low levels of turbulence, however, inhibit sedimentation of solids to a sufficiently dense midplane layer (Weidenschilling & Cuzzi 1993, Dominik et al. 2007), but turbulence must be present to explain observed gas accretion in protostellar discs (Hartmann 1998). Here we report the discovery of efficient gravitational collapse of boulders in locally overdense regions in the midplane. The boulders concentrate initially in transient high pressures in the turbulent gas (Johansen, Klahr, & Henning 2006), and these concentrations are augmented a further order of magnitude by a streaming instability (Youdin & Goodman 2005, Johansen, Henning, & Klahr 2006, Johansen & Youdin 2007) driven by the relative flow of gas and solids. We find that gravitationally bound clusters form with masses comparable to dwarf planets and containing a distribution of boulder sizes. Gravitational collapse happens much faster than radial drift, offering a possible path to planetesimal formation in accreting circumstellar discs.
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            Three-dimensional structures self-assembled from DNA bricks.

            We describe a simple and robust method to construct complex three-dimensional (3D) structures by using short synthetic DNA strands that we call "DNA bricks." In one-step annealing reactions, bricks with hundreds of distinct sequences self-assemble into prescribed 3D shapes. Each 32-nucleotide brick is a modular component; it binds to four local neighbors and can be removed or added independently. Each 8-base pair interaction between bricks defines a voxel with dimensions of 2.5 by 2.5 by 2.7 nanometers, and a master brick collection defines a "molecular canvas" with dimensions of 10 by 10 by 10 voxels. By selecting subsets of bricks from this canvas, we constructed a panel of 102 distinct shapes exhibiting sophisticated surface features, as well as intricate interior cavities and tunnels.
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              Am. J. Phys.

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                Author and article information

                Journal
                rmfe
                Revista mexicana de física E
                Rev. mex. fís. E
                Sociedad Mexicana de Física (México, DF, Mexico )
                1870-3542
                June 2012
                : 58
                : 1
                : 7-17
                Affiliations
                [01] Venezuela orgnameUniversidad Simón Bolívar orgdiv1Departamento de Física srojas@ 123456usb.ve
                Article
                S1870-35422012000100002 S1870-3542(12)05800100002
                ac8254dd-e544-4bde-bb2d-312d72c302f6

                This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

                History
                : 25 January 2012
                : 17 October 2011
                Page count
                Figures: 0, Tables: 0, Equations: 0, References: 117, Pages: 11
                Product

                SciELO Mexico

                Categories
                Teaching

                quantitative reasoning,teaching of physics,physics learning,Physics problem solving,razonamiento cuantitativo,enseñanza de la física,aprendizaje de física,Resolución de problemas en física

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