Journal ArticleDOI
A catalog of models for multiplication and division of whole numbers
Reads0
Chats0
TLDR
The above catalog contains fifteen headings, each of which indicates a collection of families of models for multiplication and division of whole numbers as mentioned in this paper, which can be easily distinguished one from the other.Abstract:
The above catalog contains fifteen headings, each of which indicates a collection of families of models for multiplication and division of whole numbers. The catalog refers to somewhat more than sixteen families of models which are easily distinguished one from the other.read more
Citations
More filters
Journal ArticleDOI
Prospective teachers’ reasoning and response to a student’s non-traditional strategy when dividing fractions
Ji-Won Son,Sandra Crespo +1 more
TL;DR: The authors examined the reasoning and responses of prospective elementary and secondary teachers to a student's non-traditional strategy for dividing fractions and found that those who unpacked the mathematical underpinning of the student's strategy tended to use what they call teacher-focused responses, whereas those doing less analysis work tended to construct "student-focused" responses.
Journal ArticleDOI
Teaching problem solving as viewed through a theory of models
TL;DR: In this paper, the authors present a small amount of theory including an analysis of the task of teaching problem solving and the act of problem solving derived from a theory of models of operations.
Journal ArticleDOI
Disposition of Pre‐Service Elementary Teachers Related To Measurement and Partition Division
Journal ArticleDOI
Using models of operations and equations
TL;DR: In this article, a systematic procedure for analyzing this task of teaching operations with the use of models and developing teaching strategies has been demonstrated, in which the teacher can (a) choose models and a family of equations, (b) choose an analysis of the equations into constituent parts involving family or equation levels, (c) choose a strategy utilizing direct correlates or oblique correlates for connecting the equations and models at a general or instance level.
References
More filters
Journal ArticleDOI
The Architecture of Mathematics
TL;DR: The Architecture of Mathematics as discussed by the authors is a seminal work in the field of architecture of mathematics, which addresses the problem of architectural design in the context of mathematics applications, including the following:
Journal ArticleDOI
Towards the Formal Study of Models in the Non-Formal Sciences
TL;DR: In this article, the authors mention some of the main reasons underlying the use of models in scientific research, such as diversity, diversity, and the fact that the same instrument cannot perform all those functions (often the multiplicity of function is recognised but not to a full extent, or not with respect to the difference of structure it implies).