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A bstract We derive the component structure of 11D, N = 1/8 supergravity linearized around eleven-dimensional Minkowski space. This theory represents 4 local supersymmetries closing onto 4 of the 11 spacetime translations without the use of equations of motion. It may be interpreted as adding 201 auxiliary bosons and 56 auxiliary fermions to the physical supergravity multiplet for a total of 376 + 376 components. These components and their transformations are organized into representations of SL(2; C ) × G 2 .
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Effects of Three Interventions on Children’s Spatial Structuring and Coordination of Area Units
The authors examine the effects of 3 interventions designed to support Grades 2–5 children's growth in measuring rectangular regions in different ways. Their findings indicate that creating a complete record of the structure of a 2-dimensional array—by drawing organized rows and columns of equal-sized unit squares—best supported children in conceptualizing how units were built, organized, and coordinated, leading to improved performance.
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- Award ID(s):
- 1222944
- PAR ID:
- 10122861
- Date Published:
- Journal Name:
- Journal for research in mathematics education
- Volume:
- 49
- Issue:
- 5
- ISSN:
- 0021-8251
- Page Range / eLocation ID:
- 533-574
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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- Free Publicly Accessible Full Text
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Accepted Manuscript1.0
- Journal Article:
- https://doi.org/https://doi.org/10.5951/jresematheduc.49.5.0533
