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Mathematical modelling as a tool for the connection of school mathematics
ZDM, 2006We start introducing some aspects of the theoretical framework: the Anthropological Theory of Didactics (ATD). Then, we consider on the research domain commonly known as “modelling and applications” and briefly describe its evolution using the ATD as an analytical tool. We propose a reformulation of the modelling processes from the point of view of the
Francisco Javier Garcia +3 more
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Approximate Connectivity and Mathematical Morphology
2005As known from the works of Serra, Ronse, and Haralick and Shapiro, the connectivity relations are found to be useful in filtering binary images. But it can be used also to find roadmaps in robot motion planning, i.e. to build discrete networks of simple paths connecting points in the robot’s configuration space capturing the connectivity of this space.
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The mathematics that the sea conceals – Connections for the teaching of mathematics
Education and New Developments 2024 – Volume 2published
Frade, Sílvia +2 more
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The Spot Problem: Connecting Points, Connecting Mathematics
The Mathematics Teacher, 2002In this article, we discuss the spot problem, which we have used many times in our work with preservice and in-service teachers of secondary mathematics. This problem appeals to us because of its multiple connections. First, it illustrates that patterns and proof are both necessary in mathematics and are related to each other.
Jeremy A. Kahan, Terry R. Wyberg
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Mathematical morphology: The Hamilton-Jacobi connection
1993 (4th) International Conference on Computer Vision, 2002The authors complement the standard algebraic view of mathematical morphology with a geometric, differential view. Three observations underlie this approach. (1) Certain structuring elements (convex) are scalable in that a sequence of repeated operations is equivalent to a single operation, but with a larger structuring element of the same shape.
Alan B. Arehart +2 more
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The mysterious connection between mathematics and physics
Progress in Biophysics and Molecular Biology, 2015The essay is in the form of a dialogue between the two authors. We take John Wheeler's idea of "It from Bit" as an essential clue and we rework the structure of the bit not to the qubit, but to a logical particle that is its own anti-particle, a logical Marjorana particle.
Louis H, Kauffman, Rukhsan, Ul-Haq
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Making mathematical connections
Teaching Secondary Mathematics, 2018Gregory Hine
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A mathematical model for finding the rainbow connection number
2013 7th International Conference on Application of Information and Communication Technologies, 2013The rainbow connection problem belongs to the class of NP-Hard graph theoretical problems. The rainbow connection of a connected graph G, denoted by rc(G), is the smallest number of colors that are needed in order to make G rainbow edge-connected. In this study, we present a new mathematical model for the rainbow connection problem.
Nuriyeva, Fidan +2 more
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Making Mathematical Connections
The Arithmetic Teacher, 1992Mathematically literate students should view mathematics as a way of looking at their environment that aids understanding and adds insight This attitude toward mathe matics can be fostered in the daily routines of the classroom. Mathematical experiences need not be restricted to the “math period” but can be incorporated throughout the school day.
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