Spatial Structuring of 3D Shapes

Constructions Supported by Spatial Reasoning

Authors

DOI:

https://doi.org/10.25749/sis.25696

Keywords:

3D spatial structuring, spatial reasoning, coordination, integration, early years

Abstract

This paper aims to provide further understanding of strategies used by first graders to reproduce 3D shapes, in what concerns spatial structuring and spatial reasoning processes involved. The data were collected during a teaching experiment where the pupils had to reproduce two 3D shapes using cubes, first from a 3D model and then from a 2D representation of a 3D model. The strategies pupils used indicate different levels of local and global structuring, and, sometimes, a progression to upper levels, based on the establishment of more complex relationships between components and composites, anchored in the use of manipulatives. These relationships also seem to be supported by spatial reasoning processes.

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Author Biographies

Joana Conceição, Colégio Atlântico, Seixal, Portugal

Elementary school teacher. She holds a master’s degree in mathematics education and is now finishing her PhD research project focused on spatial structuring and spatial reasoning in early grades.

 

Margarida Rodrigues, CIED, Escola Superior de Educação, Instituto Politécnico de Lisboa / UIDEF, Instituto de Educação, Universidade de Lisboa, Portugal

Full professor. Currently she holds the position of President of the Technical-Scientific Council. She is an integrated member of the Unidade de Investigação e Desenvolvimento em Educação e Formação (UIDEF) at Instituto de Educação, Universidade de Lisboa. Her current research is in the area of teaching and learning mathematics in the early years, namely in numbers and operations and geometry, and in the area of mathematical reasoning in teacher education.

 

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Published

2022-02-28