Integrating concrete and virtual materials in an elementary mathematics classroom : a case study of success with fractions

This paper describes an approach to introducing fraction concepts using generic software tools such as Microsoft Office's PowerPoint to create "virtual" materials for mathematics teaching and learning. This approach replicates existing concrete materials and integrates virtual materials with current non-computer methods of teaching primary students about fractions. The paper reports a case study of a 12-year-old student, Frank, who had an extremely limited understanding of fractions. Frank also lacked motivation for learning mathematics in general and interacted with his peers in a negative way during mathematics lessons. In just one classroom session involving the seamless integration of off-computer and on-computer activities, Frank acquired a basic understanding of simple common equivalent fractions. Further, he was observed as the session progressed to be an enthusiastic learner who offered to share his learning with his peers. The study's "virtual replication" approach for fractions involves the manipulation of concrete materials (folding paper regions) alongside the manipulation of their virtual equivalent (shading screen regions). As researchers have pointed out, the emergence of new technologies does not mean old technologies become redundant. Learning technologies have not replaced print and oral language or basic mathematical understanding. Instead, they are modifying, reshaping, and blending the ways in which humankind speaks, reads, writes, and works mathematically. Constructivist theories of learning and teaching argue that mathematics understanding is developed from concrete to pictorial to abstract and that, ultimately, mathematics learning and teaching is about refinement and expression of ideas and concepts. Therefore, by seamlessly integrating the use of concrete materials and virtual materials generated by computer software applications, an opportunity arises to enhance the teaching and learning value of both materials.

How do retailers from emerging markets internationalize? : The case of Chilean retailers

This paper explores how retail firms from emerging markets internationalize and compete with multinational retailers from developed markets. Drawing on interviews with company managers, industry data and corporate reports, this paper provides insights into the successful internationalization process of two Chilean retailers in the Latin American region.

Jacobi quartic curves revisited

This paper provides new results about efficient arithmetic on Jacobi quartic form elliptic curves, y 2 = d x 4 + 2 a x 2 + 1. With recent bandwidth-efficient proposals, the arithmetic on Jacobi quartic curves became solidly faster than that of Weierstrass curves. These proposals use up to 7 coordinates to represent a single point. However, fast scalar multiplication algorithms based on windowing techniques, precompute and store several points which require more space than what it takes with 3 coordinates. Also note that some of these proposals require d = 1 for full speed. Unfortunately, elliptic curves having 2-times-a-prime number of points, cannot be written in Jacobi quartic form if d = 1. Even worse the contemporary formulae may fail to output correct coordinates for some inputs. This paper provides improved speeds using fewer coordinates without causing the above mentioned problems. For instance, our proposed point doubling algorithm takes only 2 multiplications, 5 squarings, and no multiplication with curve constants when d is arbitrary and a = ±1/2.

Determinants of listed property trust bond ratings : Australian evidence

Using artificial neural networks (ANN) and ordinal regression (OR) as alternative methods to predict LPT bond ratings, we examine the role that various financial and industry variables have on Listed Property Trust (LPT) bond ratings issued by Standard and Poor’s from 1999-2006. Our study shows that both OR and ANN provide robust alternatives to rating LPT bonds and that there are no significant differences in results between the two full models. OR results show that of the financial variables used in our models, debt coverage and financial leverage ratios have the most profound effect on LPT bond ratings. Further, ANN results show that 73.0% of LPT bond rating is attributable to financial variables and 23.0% to industry-based variables with office LPT sector accounting for 2.6%, retail LPT 10.9% and stapled management structure 13.5%.

Measuring internal market orientation

Internal marketing has been discussed in the management and academic literature for over three decades, yet it remains ill defined and poorly operationalized. This paper responds to calls for research to develop a single clear understanding of the construct, for the development of a suitable instrument to measure it, and for empirical evidence of its impact. Existing, divergent conceptualization of internal marketing are explored, and a new, multidimensional construct, describing the managerial behaviors associated with internal marketing is developed, and termed internal market orientation (IMO). IMO represents the adaptation of market orientation to the context of employer-employee exchanges in the internal market. The paper describes the development of a valid and reliable measure of IMO in a retail services context. Five dimensions of IMO are identified and confirmed. These are 1) formal written information generation, 2) formal face-to-face information generation, 3) informal information generation, 4) communication and dissemination of information, and 5) responding to this internal market information. The impact of IMO on important organizational factors is also explored. Results indicate positive consequences for customer satisfaction, relative competitive position, staff attitudes, staff retention and staff compliance.

The impact of internal and external market orientations on firm performance.

The role of internal marketing in developing organisational competencies is identified as a key area for continued research (Rafiq and Ahmed, 2003). One competence of particular interest to marketers is market orientation. This paper examines the impact of internal marketing, operationalised as a set of internal market orientated behaviours (IMO) on market orientation (MO), and consequently organisational performance, and provides the first quantitative evidence to support the long held assumption that internal marketing has an impact on marketing success. Data from UK retail managers were analysed using structural equations modelling employing LISREL software. These data indicate significant relationships between internal market orientation, employee motivation and external marketing success (market orientation, financial performance and customer satisfaction). Our results also support previous findings indicating a positive impact of external market orientation on customer satisfaction and financial performance. For marketing practitioners, the role of internal market orientation is developing marketing strategies is discussed.

Email advertising : exploratory insights from Finland

Since the advent of the internet, much speculation has ensued regarding its tangible benefits to business. This article looks at the effectiveness of email advertising to promote information to consumers. Within this email promotion context, and using data from a survey of 838 female Finnish consumers of a major international cosmetics brand, we investigate consumer perceptions of email advertising. Specifically, within an exploratory research context we address two research questions: (1) What email advertising factors may influence visits to the company website? and (2) What email advertising factors may influence visits to a physical (i.e., bricks-and-mortar) company sales outlet? Results suggest that email advertisers should strive to generate emails that are perceived as useful. Useful emails appear to influence consumers to visit the store primarily to either buy the product or view the product firsthand, rather than visit the company website. However, as consumers could not buy the advertised products from the website, these findings should be regarded as preliminary. Factors influencing perceptions of email advertising usefulness are explored along with limitations and future research directions.

E-mail marketing in the context of cosmetics

This study investigates e-mail marketing using data from a survey of 839 Finnish customers of an international cosmetics brand. E-mail marketing involves the use of e-mail to send promotions and information to customers. In this context we address two research questions: (1) What e-mail advertising factors drive visits to a physical (i.e., bricks-and-mortar) company sales outlet? and, (2) Does e-mail advertising influence brand satisfaction? Our findings indicate that useful e-mails can influence customers to visit the store. Further, brand satisfaction is positively influenced if e-mails are interesting and also by the amount of e-mail received by customers.