The purpose of this study was to in

The purpose of this study was to investigate elementary children’s conceptions that might
serve as foundations for integer reasoning. Working from an abstract algebraic perspective
and using an opposite-magnitudes context that is relevant to children, we analyzed the
reasoning of 33 children in grades K-5. We focus our report on three prominent ways of
reasoning. We do this by describing and analyzing the responses of three particular children
(in Grades 1, 3, and 5) who exemplify these ways of reasoning. We view each of the three
ways of reasoning as rich and interesting, and we see relationships of each to formal integer
reasoning. At the same time, we view these ways of reasoning in terms of increasing levels
of sophistication, potentially belonging to a single learning trajectory. Thus, we see the
roots of more sophisticated integer reasoning in children’s early intuitions about opposite
magnitudes.

ผลลัพธ์ (อังกฤษ) 2:

The purpose of this Study was to Investigate ELEMENTARY children's conceptions Might that
serve as Foundations for integer reasoning. Working from an abstract algebraic Perspective
and using an Opposite-magnitudes context that is relevant to children, we analyzed the
reasoning of 33 children in Grades K-5. Focus on our Report we prominent Three Ways of
reasoning. We do this by describing and analyzing the particular Responses of Three children
(in Grades 1, 3, and 5) Who exemplify these Ways of reasoning. View each of the Three we
Ways of reasoning as rich and Interesting, and we See relationships of each integer to formal
reasoning. At the Same time, we Ways of reasoning in terms of View these increasing levels
of Sophistication, potentially belonging to a single trajectory Learning. Thus, we See the
Roots of more sophisticated reasoning in children's integer Early intuitions About Opposite
magnitudes.