Symbolic arithmetic knowledge without instruction

Symbolic arithmetic is fundamental to science, technology and economics, but its acquisition by children typically requires years of effort, instruction and drill. When adults perform mental arithmetic, they activate nonsymbolic, approximate number representations, and their performance suffers if this nonsymbolic system is impaired. Nonsymbolic number representations also allow adults, children, and even infants to add or subtract pairs of dot arrays and to compare the resulting sum or difference to a third array, provided that only approximate accuracy is required. Here we report that young children, who have mastered verbal counting and are on the threshold of arithmetic instruction, can build on their nonsymbolic number system to perform symbolic addition and subtraction. Children across a broad socio-economic spectrum solved symbolic problems involving approximate addition or subtraction of large numbers, both in a laboratory test and in a school setting. Aspects of symbolic arithmetic therefore lie within the reach of children who have learned no algorithms for manipulating numerical symbols. Our findings help to delimit the sources of children's difficulties learning symbolic arithmetic, and they suggest ways to enhance children's engagement with formal mathematics.     

The massive binary companion star to the progenitor of supernova 1993J

The massive star that underwent a collapse of its core to produce supernova (SN)1993J was subsequently identified as a non-variable red supergiant star in images of the galaxy M81 taken before explosion. It showed an excess in ultraviolet and B-band colours, suggesting either the presence of a hot, massive companion star or that it was embedded in an unresolved young stellar association. The spectra of SN1993J underwent a remarkable transformation from the signature of a hydrogen-rich type II supernova to one of a helium-rich (hydrogen-deficient) type Ib. The spectral and photometric peculiarities were best explained by models in which the 13-20 solar mass supergiant had lost almost its entire hydrogen envelope to a close binary companion, producing a 'type IIb' supernova, but the hypothetical massive companion stars for this class of supernovae have so far eluded discovery. Here we report photometric and spectroscopic observations of SN1993J ten years after the explosion. At the position of the fading supernova we detect the unambiguous signature of a massive star: the binary companion to the progenitor.     

Hematocrit as an index of changes in plasma volume in conscious dogs.

Hematocrit (HCT) measurements were made in intact and splenectomized conscious dogs to determine if observed decreases in HCT were produced by plasma volume expansion or splenic sequestration of erythrocytes. We found that in conscious dogs HCT is a poor indicator of changes in plasma volume.     

Phorbol ester and diacylglycerol induce protein phosphorylation at tyrosine

The phorbol ester 12-O-tetradecanoyl-phorbol-13-acetate (TPA) is an efficient tumour promoter in vivo. In vitro, TPA activates the phospholipid- and Ca2+-dependent protein kinase, kinase C. This activation is believed to reflect the structural similarity between TPA and diacylglycerol, the endogenous protein kinase C activator which is produced in vivo by hydrolysis of phosphatidylinositol (reviewed in ref. 3). Protein kinase C phosphorylates protein substrates at serine and threonine residues in vitro. The effects of TPA on cultured fibroblasts--including enhanced hexose uptake, disruption of actin stress fibres and growth stimulation--are very similar to those induced by certain retrovirus transforming proteins and by peptide growth factors such as epidermal growth factor (EGF), platelet-derived growth factor (PDGF) and multiplication-stimulating activity (MSA). These transforming proteins and mitogenic agents seem to act by inducing tyrosine-specific protein phosphorylation. Such observations suggested that some of the effects of TPA in vivo may be mediated by protein phosphorylation at tyrosine residues. A 42,000-molecular weight (42 K) polypeptide was previously shown to be phosphorylated at tyrosine in cells transformed by avian sarcoma viruses and in cells stimulated by EGF, PDGF or MSA (J. Cooper, personal communication and refs 11 and 12; this polypeptide was originally designated 43 K or spot n in ref. 10). We show here that this polypeptide also becomes phosphorylated at tyrosine in cells treated with TPA. Furthermore, exogenously added diacylglycerol likewise stimulates the phosphorylation of this protein at tyrosine.     

The ERECTA gene regulates plant transpiration efficiency in Arabidopsis

Assimilation of carbon by plants incurs water costs. In the many parts of the world where water is in short supply, plant transpiration efficiency, the ratio of carbon fixation to water loss, is critical to plant survival, crop yield and vegetation dynamics. When challenged by variations in their environment, plants often seem to coordinate photosynthesis and transpiration, but significant genetic variation in transpiration efficiency has been identified both between and within species. This has allowed plant breeders to develop effective selection programmes for the improved transpiration efficiency of crops, after it was demonstrated that carbon isotopic discrimination, Delta, of plant matter was a reliable and sensitive marker negatively related to variation in transpiration efficiency. However, little is known of the genetic controls of transpiration efficiency. Here we report the isolation of a gene that regulates transpiration efficiency, ERECTA. We show that ERECTA, a putative leucine-rich repeat receptor-like kinase (LRR-RLK) known for its effects on inflorescence development, is a major contributor to a locus for Delta on Arabidopsis chromosome 2. Mechanisms include, but are not limited to, effects on stomatal density, epidermal cell expansion, mesophyll cell proliferation and cell-cell contact.     

Hematocrit as an index of changes in plasma volume in conscious dogs

Summary Hematocrit (HCT) measurements were made in intact and splenectomized conscious dogs to determine if observed decreases in HCT were produced by plasma volume expansion or splenic sequestration of erythrocytes. We found that in conscious dogs HCT is a poor indicator of changes in plasma volume.Supported by National Institutes of Health grant No. HL 13427.I.Z. ist the recipient of an Established Investigator Award from the American Heart Association.Acknowledgment. The authors wish to thank Mary Anne Richards for her technical assistance.     

Patterns of neuroglial proliferation in spinal cord white matter following exposure to ionizing radiation

Summary X-irradiation temporarily decreases the proliferative activity of neuroglia in immature rat spinal cord. Later, the proliferative activity in these irradiated regions surpasses that noted in control rats. Areas adjacent to the irradiated region have a greater than normal percentage of labelled neuroglia and may also be a source for neuroglia which re-populate the irradiated zone.Acknowledgments. Sincere thanks to Ms Jane Leiting for her assistance in doing the cell counts and to Mr Napoleon Phillips for preparing the autoradiographs. Supported by USPHS grant NS 04761.