... Doris Zahner Stevens Institute of Technology Hoboken, New Jersey dzahner@stevens.edu James E.... more ... Doris Zahner Stevens Institute of Technology Hoboken, New Jersey dzahner@stevens.edu James E. Corter Teachers College, Columbia University New York, New York jec34@columbia. edu ... Harary, F. Graph Theory, Addison Wesley, Reading, MA, 1994. ...
Design entails the interaction of minds and the tools used to express the design, notably, diagra... more Design entails the interaction of minds and the tools used to express the design, notably, diagrams. Systems designers use the affordances of the page when they generate structural diagrams of systems. Specifically, they use proximity to augment connectedness (path) ...
Mathematical Thinking and Learning an International Journal, Mar 25, 2010
We investigate the role of external inscriptions, particularly those of a spatial or visual natur... more We investigate the role of external inscriptions, particularly those of a spatial or visual nature, in the solution of probability word problems. We define a taxonomy of external visual representations used in probability problem solving that includes pictures, spatial reorganization of the given information, outcome listings, contingency tables, Venn diagrams, trees, and novel graphical representations. We also propose a process
We investigate the use of external visual representations in probability problem solving. Twenty-... more We investigate the use of external visual representations in probability problem solving. Twenty-six students enrolled in an introductory statistics course for social sciences graduate students (post-baccalaureate) solved eight probability problems in a structured interview format. Results show that students spontaneously use self- generated external visual representations while solving probability problems. The types of visual representations used include: reorganization of the
Design entails the interaction of minds and the tools used to express the design, notably, diagra... more Design entails the interaction of minds and the tools used to express the design, notably, diagrams. Systems designers use the affordances of the page when they generate structural diagrams of systems. Specifically, they use proximity to augment connectedness (path) information by grouping subsystems. They use horizontal position on the page to express sequence and vertical position to reflect actual spatial
We investigate the role of external inscriptions, particularly those of a spatial or visual natur... more We investigate the role of external inscriptions, particularly those of a spatial or visual nature, in the solution of probability word problems. We define a taxonomy of external visual representations used in probability problem solving that includes pictures, spatial reorganization of the given information, outcome listings, contingency tables, Venn diagrams, trees, and novel graphical representations. We also propose a process
Design entails the interaction of minds and the tools used to express the design, notably, diagra... more Design entails the interaction of minds and the tools used to express the design, notably, diagrams. Systems designers use the affordances of the page when they generate structural diagrams of systems. Specifically, they use proximity to augment connectedness (path) ...
... Doris Zahner Stevens Institute of Technology Hoboken, New Jersey dzahner@stevens.edu James E.... more ... Doris Zahner Stevens Institute of Technology Hoboken, New Jersey dzahner@stevens.edu James E. Corter Teachers College, Columbia University New York, New York jec34@columbia. edu ... Harary, F. Graph Theory, Addison Wesley, Reading, MA, 1994. ...
Design entails the interaction of minds and the tools used to express the design, notably, diagra... more Design entails the interaction of minds and the tools used to express the design, notably, diagrams. Systems designers use the affordances of the page when they generate structural diagrams of systems. Specifically, they use proximity to augment connectedness (path) ...
Mathematical Thinking and Learning an International Journal, Mar 25, 2010
We investigate the role of external inscriptions, particularly those of a spatial or visual natur... more We investigate the role of external inscriptions, particularly those of a spatial or visual nature, in the solution of probability word problems. We define a taxonomy of external visual representations used in probability problem solving that includes pictures, spatial reorganization of the given information, outcome listings, contingency tables, Venn diagrams, trees, and novel graphical representations. We also propose a process
We investigate the use of external visual representations in probability problem solving. Twenty-... more We investigate the use of external visual representations in probability problem solving. Twenty-six students enrolled in an introductory statistics course for social sciences graduate students (post-baccalaureate) solved eight probability problems in a structured interview format. Results show that students spontaneously use self- generated external visual representations while solving probability problems. The types of visual representations used include: reorganization of the
Design entails the interaction of minds and the tools used to express the design, notably, diagra... more Design entails the interaction of minds and the tools used to express the design, notably, diagrams. Systems designers use the affordances of the page when they generate structural diagrams of systems. Specifically, they use proximity to augment connectedness (path) information by grouping subsystems. They use horizontal position on the page to express sequence and vertical position to reflect actual spatial
We investigate the role of external inscriptions, particularly those of a spatial or visual natur... more We investigate the role of external inscriptions, particularly those of a spatial or visual nature, in the solution of probability word problems. We define a taxonomy of external visual representations used in probability problem solving that includes pictures, spatial reorganization of the given information, outcome listings, contingency tables, Venn diagrams, trees, and novel graphical representations. We also propose a process
Design entails the interaction of minds and the tools used to express the design, notably, diagra... more Design entails the interaction of minds and the tools used to express the design, notably, diagrams. Systems designers use the affordances of the page when they generate structural diagrams of systems. Specifically, they use proximity to augment connectedness (path) ...
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