In our work in teacher education and professional development, we aim to help teachers to learn to participate in, and create, classroom ecologies that support students' learning. In this article we focus on the challenges of developing a classroom ecology that provides mathematical sustenance for students. We pay particular attention to the ways…

This study examined the theoretical controversy on the impact of syllables and bigrams in handwriting production. French children and adults wrote words on a digitizer so that we could collect data on the local, online processing of handwriting production. The words differed in the position of the lowest frequency bigram. In one condition, it…

This article examines the topicality of Library and Information Science (LIS) dissertations written between 1930 and 2009 at schools with American Library Association (ALA)--accredited university programs in North America. Dissertation titles and abstracts were examined for the presence of library-related keywords drawn from the core curricula of…

Zipf's law states that if words of language are ranked in the order of decreasing frequency in texts, the frequency of a word is inversely proportional to its rank. It is very reliably observed in the data, but to date it escaped satisfactory theoretical explanation. This article suggests that Zipf's law may result from a hierarchical organization…

Accurate teacher evaluations of student performance are crucial for effective teaching. This study examined whether students' immigration and language background affect teachers' evaluations. Multilevel analyses tested whether teachers overestimate the performance of immigrant relative to that of non-immigrant students. As part of the German PISA…

This study analyzes the procedural explanations written by remedial college mathematics students. Relevant literatures suggest that six communication activities might be key in effective procedural explanations in mathematics writing: (a) orienting the learner, (b) providing kernels or definitions of concepts and procedures, (c) using exemplars or…

Much has been written to convince content-area teachers to include literacy instruction as part of their regular content instruction. The purpose of this study was to determine how the messages available in the literature are framed and how they might be viewed by content-area teachers, especially mathematics teachers. The analysis revealed that…

This chapter is about culture and mathematics teaching and learning. The authors' goal is to offer a thoughtful treatment of the role of culture in the teaching and learning of mathematics and to synthesize literature that is relevant to this concern from multiple subdisciplines in education, including math education, educational anthropology,…

This article presents a Vygotsky-inspired analysis of how a teacher mediated a "thinking aloud" whole-group discussion in a 6th grade mathematics classroom. This discussion centered on finding patterns in a triangular array of consecutive numbers as a phase towards building recursive and direct algebraic formulas. By a "thinking aloud" discussion…

This study examined whether singular/plural marking in a language helps children learn the meanings of the words "one," "two," and "three." First, CHILDES data in English, Russian (which marks singular/plural), and Japanese (which does not) were compared for frequency, variability, and contexts of number-word use.…

MEASUREMENT CRITERIA ARE DEVELOPED FOR THE QUANTIFICATION OF THE FUNCTIONAL LOAD OF THE PHONEMES OF A LANGUAGE. THE CONCEPT OF FUNCTIONAL LOAD OR YIELD, FROM CERTAIN THEORIES OF LINGUISTIC CHANGE, STATES THAT SOME CONTRASTS BETWEEN THE DISTINCTIVE SOUNDS OF A LANGUAGE DO MORE WORK THAN OTHERS BY OCCURRING MORE FREQUENTLY AND IN MORE LINGUISTIC…

Explains Zipf's Law of Vocabulary Distribution (i.e., relationship between frequency of a word in a corpus and its rank), noting the discovery of the law, alternative forms, and literature relating to the search for a rationale for Zipf's Law. Thirty-eight references are cited. (EJS)

Presents three schools of argument on mathematical communication: (1) cognitivist argument; (2) interactionist argument; and (3) neo-pragmatist argument. Distinguishes the mathematical versus talking about mathematics, talking mathematics versus learning the art of mathematical conversation, and the conversation of mathematicians versus students'…

This description of the types of linguistic information obtainable from online databases generally used to acquire technical information includes examples of equivalent words, English usage, and statistical linguistic data. The implications of online databases as substitutes for dictionaries and as corpora for linguistic survey are considered.…

Discusses linguistic influence on children's numerical development. Describes and reviews recent papers that address the relationship between number naming systems and children's numerical concepts. (Contains 20 references.) (ASK)