Understanding place value with numeration units

Adding value to relative-value units.

R units (RVUs) were developed in 1988 as a method of accounting for physicians’ work effort and hospital or clinic expenses. Because RVUs provided a uniform, formulaic metric for myriad clinical services, they quickly became the prevailing method for setting feefor-service payments for Medicare and private insurance. However, the dominance of the fee-forservice model has created strong structur...

Numeration Systems

Semantic-PlaceBrowser: Understanding Place for Place-Scale Context-Aware Computing

Our view of environment for context-aware applications is a place, which contains devices, digital services and people with their social contexts. Therefore, understanding place will contribute to the successful of applications. In this paper, we introduce two issues: (i) there is a need for sharing context knowledge about place; (ii) using a multiagent framework for modeling place will improve...

Tilings Associated with Beta-numeration and Substitutions

This paper surveys different constructions and properties of some multiple tilings (that is, finite-to-one coverings) of the space that can be associated with beta-numeration and substitutions. It is indeed possible, generalizing Rauzy’s and Thurston’s constructions, to associate in a natural way either with a Pisot number β (of degree d) or with a Pisot substitution σ (on d letters) some compa...

Using Place-value Blocks or a Computer to Teach Place-value Concepts

Since place-value blocks were introduced in the 1960s they have become the predominant material of choice for teaching place-value concepts to young school students. Despite their apparent advantages for modelling multidigit numbers, some students who use them still develop faulty conceptions for numbers. A study currently in progress in Australia is comparing the use of computers and of place-...