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Abstract

Having become proficient at correlating 2D pictures with top plan numeric view representations learners used the Construction Box to create their own task card puzzles for peers to solve without the aid of the digital interface. These included 2D pictures of Soma assemblies and later, top plan view diagrams that they drew by hand. These tasks required adept mental transformation skills moving among the SOC representations. The Extended Construction Box module was created to allow users to construct digital cube figures with holes or overhangs within the first octant of a 3D coordinate space. Learners then developed a top plan view coding system that allowed for holes or overhangs. They also used their knowledge of top plan views to represent rectangular prisms made up of unit cubes.

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References

  • Battista, M. (1999). Fifth graders enumeration of cubes in 3D arrays: Conceptual progress in an inquiry-based classroom. Journal for Research in Mathematics Education, 30, 417–448.

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  • Outhred, L., Mitchelmore, M., McPhail, D., & Gould, P. (2003). Count me into measurement: A program for the early elementary school. In Douglas Clements & George Bright (Eds.), Learning and teaching measurement: 2003 NCTM yearbook (pp. 81–99). Reston: National Council of Teachers of Mathematics.

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Correspondence to Jacqueline Sack .

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Sack, J., Vazquez, I. (2016). 3D to 2D via Top-View Plans. In: A 3D Visualization Teaching-Learning Trajectory for Elementary Grades Children. SpringerBriefs in Education. Springer, Cham. https://doi.org/10.1007/978-3-319-29799-6_5

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  • DOI: https://doi.org/10.1007/978-3-319-29799-6_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-29798-9

  • Online ISBN: 978-3-319-29799-6

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