This article describes the results of an investigation based on a Models and Modeling Perspective [MMP]. We present the evolution of the models built by university students when solving a model development sequence designed to promote their learning of the exponential function. As a result, we observed that students' thinking was modified,…

Researchers, who have studied the understanding of the density property in the set of decimal numbers, have shown that the student uses the property of the discrete of natural numbers to solve tasks related to density. So, a restructuring of concepts is necessary, that is, a conceptual change from "the discrete" to "the dense".…

In this article we aim to deepen our understanding of the content and nature of the early childhood teacher's knowledge, focusing on those aspects which might promote students' algebraic thinking. Approaching arithmetic from the viewpoint of algebra as an advanced perspective and considering the analytical model "Mathematics Teachers'…

The number line is a model that is used to measure, count, order and even operate, which requires a symbolic interpretation. Then, we investigate the conceptions of 72 in service secondary teachers, when they manage the model of the number line associated with order, spatial location and the relative position between numbers and marks. In a…

Useful for both linguists and laymen because of its scientific validity and accuracy, the second edition of the Papago/Pima-English dictionary gives full definitions for over 5,000 entries. Beginning with a practical alphabet for Papago-Pima and a guide to the dictionary, the book is divided into two parts. In addition to the lexical entries, Part…

Background information on the testing program, administration details, and a description of the test are provided. The test, intended for administration in June 1986 to third-grade students in Alberta, Canada, consists of two sections. Section 1 is divided into two parts. Part A contains 25 questions covering numeration, geometry, and graphing; 12…

A dual-language Navajo-English dictionary provides a chart of the Navajo kinship system, a two-page map of the Navajo Nation, and English equivalents for Navajo words in 46 linguistic and cultural categories. Included are words for: races (Indian and other ethnic groups); Navajo clans; age groups; Navajo ceremonies; body parts; sickness; clothing;…

This phrasebook with wordlist is designed for speakers of Haitian Creole who are immigrants to the United States. The English phrases presented are grouped by subject and selected for their directness, brevity, and relevance to the needs of newly-arrived residents. Most are presented in the form of brief, two-line dialogues. Phrases and…