Representational task formats and problem solving strategies in kinematics and work

Previous studies have reported that students employed different problem solving approaches when presented with the same task structured with different representations. In this study, we explored and compared students’ strategies as they attempted tasks from two topical areas, kinematics and work. Our participants were 19 engineering students taking a calculus-based physics course. The tasks were presented in linguistic, graphical, and symbolic forms and requested either a qualitative solution or a value. The analysis was both qualitative and quantitative in nature focusing principally on the characteristics of the strategies employed as well as the underlying reasoning for their applications. A comparison was also made for the same student’s approach with the same kind of representation across the two topics. Additionally, the participants’ overall strategies across the different tasks, in each topic, were considered. On the whole, we found that the students prefer manipulating equations irrespective of the representational format of the task. They rarely recognized the applicability of a ‘‘qualitative’’ approach to solve the problem although they were aware of the concepts involved. Even when the students included visual representations in their solutions, they seldom used these representations in conjunction with the mathematical part of the problem. Additionally, the students were not consistent in their approach for interpreting and solving problems with the same kind of representation across the two topical areas. The representational format, level of prior knowledge, and familiarity with a topic appeared to influence their strategies, their written responses, and their ability to recognize qualitative ways to attempt a problem. The nature of the solution does not seem to impact the strategies employed to handle the problem

archiTECTONICS: Pre- and Trans-Disciplinary Reference in Beginning Design

This presentation was part of the session : Pedagogy: Procedures, Scaffolds, Strategies, Tactics24th National Conference on the Beginning Design StudentPedagogical approaches to beginning design in architecture often assume trans-disciplinary modes of exploration to filter problem parameters and sculpt perceptual outlook for iterative potential. A closer look suggests moments within the architectural design process that come before, or around, the discipline itself in the form of other disciplines accompanied by basic principles, such as Visual Literacy. Iterating and perceiving through every disciplinary dynamic, instance, and/or action in the process of designing transcends, builds, and structures its neighbor for explorative sequencing, intention, and growth of sensibilities in design resolution. An acute awareness of disciplinary state, in a maturing design process, can alleviate obscurity of ideological foundation and facilitate growth for trans-disciplinary thinking, making, and communicating in a root discipline such as architecture. How can beginning design instructors guide young designers to keep ideas and concepts for design in focus, recognizing that root disciplines transcend pre- and trans-disciplinary processes? Does recognizing variation in pace, induced by digital and analog tools, and intention of design iteration, by discipline, instill clarity by pre-disciplinary thinking, perception, and operation? Trans-disciplinary exercise provokes awareness of pre-disciplinary foundations furthering possibilities for unique root-disciplinary understandings and results. The developed exercise, archiTECTONIC, recognizes and cycles through reasoning, conceptualization, and iteration in a trans-disciplinary sequence, allowing the beginning design student to recognize pre-disciplinary ideology, pace, and purpose when processing ideas through fundamentals of architectural design. Engaging this as a strategy for seeing, thinking, and maneuvering through a dynamic process provides design liberty and clarity for processing and communicating in a root discipline, in this case architecture

Representational task formats and problem solving strategies in kinematics and work

Previous studies have reported that students employed different problem solving approaches when presented with the same task structured with different representations. In this study, we explored and compared students’ strategies as they attempted tasks from two topical areas, kinematics and work. Our participants were 19 engineering students taking a calculus-based physics course. The tasks were presented in linguistic, graphical, and symbolic forms and requested either a qualitative solution or a value. The analysis was both qualitative and quantitative in nature focusing principally on the characteristics of the strategies employed as well as the underlying reasoning for their applications. A comparison was also made for the same student’s approach with the same kind of representation across the two topics. Additionally, the participants’ overall strategies across the different tasks, in each topic, were considered. On the whole, we found that the students prefer manipulating equations irrespective of the representational format of the task. They rarely recognized the applicability of a ‘‘qualitative’’ approach to solve the problem although they were aware of the concepts involved. Even when the students included visual representations in their solutions, they seldom used these representations in conjunction with the mathematical part of the problem. Additionally, the students were not consistent in their approach for interpreting and solving problems with the same kind of representation across the two topical areas. The representational format, level of prior knowledge, and familiarity with a topic appeared to influence their strategies, their written responses, and their ability to recognize qualitative ways to attempt a problem. The nature of the solution does not seem to impact the strategies employed to handle the problem

The implementation of graphic organizers to teach reading comprehension skills to second graders of the sur oriental Boston Branch School

El propósito del siguiente proyecto fue seguir una secuencia didáctica y aplicar mapas mentales tal como un organizador gráfico como herramienta de entendimiento y al mismo tiempo mejorar las habilidades de lectura en el L2 con el fin de guiar los aprendices a localizar y clasificar información usando un mapa mental como un organizador gráfico para mejorar las habilidades de lectura

Math Search for the Masses: Multimodal Search Interfaces and Appearance-Based Retrieval

We summarize math search engines and search interfaces produced by the Document and Pattern Recognition Lab in recent years, and in particular the min math search interface and the Tangent search engine. Source code for both systems are publicly available. "The Masses" refers to our emphasis on creating systems for mathematical non-experts, who may be looking to define unfamiliar notation, or browse documents based on the visual appearance of formulae rather than their mathematical semantics.Comment: Paper for Invited Talk at 2015 Conference on Intelligent Computer Mathematics (July, Washington DC