Indexical Expressions in Word Problems and their Influence on Multiple Referents of the Unknown

When translating word problems into equations, a common error consists of using the same letter to refer to two different quantities. This error, called multiple referents for the unknown, can be connected to the existence of deictic or indexical expressions within the problem statement. This paper aims to analyse the influence of indexical expressions on the incidence of the multiple referents for the unknown error. Results from a quantitative study with 117 Spanish secondary students show a significantly higher number of such type of error when the problem statement contains indexical expressions. The analysis of students’ performances in subsequent interviews indicates that this error may be due to the fragmented reading of statements.     

El título como recurso didáctico

Se revisan aquí las funciones que tiene el título de un texto y se propone un modelo de “instrucción razonada” en tres fases para que el adiestramiento en titulación constituya una nueva vía para mejorar la comprensión lectora.     

Prevalence of vulnerability and protective factors of sexual victimization

English language abstract not available at time of publication.     

The effect of external and internal factors on firms’ product innovation

In this article we analyse the effect of factors external and internal to the firm, on product innovation novelty, and how this effect varies by industry. We estimate three econometric models to determine the individual effects of these factors, their joint explanatory power and the effects of interactions among them. The analysis is based on a sample of 6094 manufacturing firms, taken from the Spanish Survey of Technological Innovation 2000. The results indicate that the firm's technological competences, derived from in-house R&D, are the main determinant of product innovation. They also suggest that in the presence of high levels of such competences, the technological opportunities deriving from non-industry agents become less important as determinants of innovation. We show that the determinants of innovation vary depending on the industrial sector and the degree of novelty of the product developed.     

Building personalised homework from a learning analytics based formative assessment: Effect on fifth-grade students' understanding of fractions

This study analyses the potential of a learning analytics (LA) based formative assessment to construct personalised teaching sequences in Mathematics for 5th-grade primary school students. A total of 127 students from Spanish public schools participated in the study. The quasi-experimental study was conducted over the course of six sessions, in which both control and experimental groups participated in a teaching sequence based on mathematical problems. In each session, both groups used audience response systems to record their responses to mathematical tasks about fractions. After each session, students from the control group were given generic homework on fractions—the same activities for all the participants—while students from the experimental group were given a personalised set of activities. The provision of personalised homework was based on the students' errors detected from the use of the LA-based formative assessment. After the intervention, the results indicate a higher student level of understanding of the concept of fractions in the experimental group compared to the control group. Related to motivational dimensions, results indicated that instruction using audience response systems has a positive effect compared to regular mathematics classes.

Practitioner notes

What is already known about this topic

• Developing an understanding of fractions is one of the most challenging concepts in elementary mathematics and a solid predictor of future achievements in mathematics.
• Learning analytics (LA) has the potential to provide quality, functional data for assessing and supporting learners' difficulties.
• Audience response systems (ARS) are one of the most practical ways to collect data for LA in classroom environments.
• There is a scarcity of field research implementations on LA mediated by ARS in real contexts of elementary school classrooms.

What this paper adds

• Empirical evidence about how LA-based formative assessments can enable personalised homework to support student understanding of fractions.
• Personalised homework based on an LA-based formative assessment improves the students' comprehension of fractions.
• Using ARS for the teaching of fractions has a positive effect in terms of student motivation.

Implications for practice and/or policy

• Teachers should be given LA/ARS tools that allow them to quickly provide students with personalised mathematical instruction.
• Researchers should continue exploring these potentially beneficial educational implementations in other areas.