Quantum numbers and electron configurations form an important part of the general chemistry curriculum and textbooks. The objectives of this study are: (1) Elaboration of a framework based on the following aspects: (a) Origin of the quantum hypothesis, (b) Alternative interpretations of quantum mechanics, (c) Differentiation between an orbital and…

This study aimed at investigating the progress of students' learning on multiplication fractions with natural numbers through the five activity levels based on Realistic Mathematics Education (RME) approach proposed by Streefland. Design research was chosen to achieve this research goal. In design research, the Hypothetical Learning Trajectory…

An annotated list of children's books published within the last 15 years and related to Louisiana culture, environment, and economics are linked to the Louisiana Content Standards. Readability levels of selected books are included, providing guidance as to whether a book is appropriate for independent student use. The thirty-three books listed are…

Lexical variation abounds in New Zealand Sign Language (NZSL) and is commonly associated with the introduction of the Australasian Signed English lexicon into Deaf education in 1979, before NZSL was acknowledged as a language. Evidence from dictionaries of NZSL collated between 1986 and 1997 reveal many coexisting variants for the numbers from one…

The current study investigated the effects of an undergraduate mathematics content course for pre-service elementary teachers. The participants' content knowledge was quantitatively measured using an instrument comprised of items from the Mathematical Knowledge for Teaching Measures (Hill, Schilling, & Ball, 2004). Using a one-group…

The process of rapidly and accurately enumerating small numbers of items without counting, i.e. subitizing, is often believed to rest on parallel preattentive processes. However, the possibility that enumeration of small numbers of items would also require attentional processes has remained an open question. The present study is the first that…

This article reports the 2008 National Institute of Adult Continuing Education (NIACE) survey of adult participation in learning in the UK. Its major finding, that participation has fallen among key target groups for the Government's learning and skills strategy, calls into question the balance of current policy instruments. Inevitably, since…

Human adults are thought to possess two dissociable systems to represent numbers: an approximate quantity system akin to a mental number line, and a verbal system capable of representing numbers exactly. Here, we study the interface between these two systems using an estimation task. Observers were asked to estimate the approximate numerosity of…

When developing online classrooms it is necessary to ensure that all learners will be successful in the course regardless of the topic or discipline that is being discussed. This becomes especially important when the class involves numerical data. This paper outlines the difficulty of delivering online classes such as algebra, accounting, and…

Professional development (PD) is key to improving mathematics teaching and learning in the middle grades. Many PD projects and initiatives have been undertaken across the United States. Yet, we know very little about what teachers learn in and through such PD, nor about what those who conduct the PD might be learning as well. This knowledge gap…

Community colleges are always looking to find ways to increase enrollment, either through recruitment of new students or retention of current students. This research is focused on the recruitment of new students--specifically high school students--using a Strategic Enrollment Management (SEM) model: nurturing high school students through the…

There are now strong arguments for building closer links between children's understanding of numbers and number operations and the beginning of algebraic (relational) thinking in the primary school years. Rarely, however, do Australian mathematics textbooks give enough guidance for teachers to use good activities in the classroom to promote…

Word reading in alphabetic languages involves letter identification, independently of the format in which these letters are written. This process of letter "regularization" is sensitive to word context, leading to the recognition of a word even when numbers that resemble letters are inserted among other real letters (e.g., M4TERI4L). The present…

This classroom note shows how Fibonacci numbers with negative subscripts emerge from a problem-solving context enhanced by the use of an electronic spreadsheet. It reflects the author's work with prospective K-12 teachers in a number of mathematics content courses. (Contains 4 figures.)

This study explores the possibility of cross-language activation when bilinguals process number words in their first language (Italian) and their second language (German). Italian monolinguals (Experiment 1), German monolinguals (Experiment 2), and Italian/German bilinguals (Experiment 3) were required to decide the larger of two number words…