This paper develops a dialogue on value and measurement in education that began at a special symposium at ECER in September 2015. The paper seeks to continue the dialogue by commenting on the main respondent’s contribution from Network 9. We hope to clarify how different sides of the assessment debate can be misunderstood by others. What emerges in our paper is suggestive but nonetheless points to how thinking in opposing camps can limit our understanding of assessment as a human activity. (...) Taking up key points made by the respondent to the symposium, we focus on the comparison between the requirements of design in technological problem-solving situations and those that arise when we take seriously the requirements of assessment and valuing as a human activity. This discussion sets up a wider analysis of the problem of ethics across the sciences and humanities historically. While remaining tentative, the discussion points to a particular problem related to our ability to defend practical rationality agains.. (shrink)

The ability to represent, discriminate, and perform arithmetic operations on discrete quantities (numerosities) has been documented in a variety of species of different taxonomic groups, both vertebrates and invertebrates. We do not know, however, to what extent similarity in behavioral data corresponds to basic similarity in underlying neural mechanisms. Here, we review evidence for magnitude representation, both discrete (countable) and continuous, following the sensory input path from primary sensory systems to associative pallial territories in the vertebrate brains. We also speculate (...) on possible underlying mechanisms in invertebrate brains and on the role played by modeling with artificial neural networks. This may provide a general overview on the nervous system involvement in approximating quantity in different animal species, and a general theoretical framework to future comparative studies on the neurobiology of number cognition. (shrink)