Knowledge based systems for teaching and learning maths

The main task of an educational system is to generate instructional situations which induce students to learn knowledge and problem solving abilities as applied to a cognitive domain.
To this end, an instructional dialogue must be seen as a process aimed at making student and teacher learn from each other: the student has to learn the subject matter from the teacher, while the teacher has in turn to learn from the student how to regulate instructional interaction. The process relies on different kinds of expert knowledge: experience of the domain, about the actual student, and of teaching methods and objectives. This means that an instructional dialogue cannot be realised without an explicit representation of all the kinds of knowledge involved.
Research has established that Knowledge Based Educational Systems (KBESs) can be the keystone in building effective learning tools, but because of the difficulty in realising a system of this kind, most existing systems are prototypes and are intended only as workbenches for the computational analysis of educational processes.
This paper analyses the main problems which underlie the realisation of such systems, with reference to research into knowledge based systems intended for use with teaching/learning mathematics.     

Using the value creation framework to capture knowledge co-creation and pathways to impact in a transnational community of practice in autism education

ABSTRACT

Although theories around Communities of Practice have gained significant ground in recent years and have become an important focus for organizational development, there is a gap in studies that investigate what members gain from participation in these communities. This paper explains how the value creation framework was implemented in a transnational research and development project in autism education by examining cycles of value creation and drawing on two types of data identified by Wenger and colleagues. The value creation framework is a theoretically driven framework to assess social learning in communities. Participants involved in the learning space were co-researchers engaged in a process of investigating, sharing and reflecting on their practice. The paper discusses the methodological challenges and strengths of using the value creation framework, with a particular focus on how insights and interactions led to subsequent changes in the practice of the participants. This work has the potential to make an important contribution to methods and analysis in assessing social learning and pathways to impact in participatory research and development projects more broadly.     

Frequency of examinations and student achievement in a randomized experiment

We carry out a randomized experiment involving undergraduate students enrolled at an Italian University attending two introductory economics classes to evaluate the impact on achievement of examination frequency and interim feedback provision. Students in the treated group were allowed to undertake an intermediate exam and were informed about the results obtained, while students in the control group could only take the final exam. The results show that students undertaking the intermediate exam perform better both in terms of the probability of passing the exams and of grades obtained. High ability students appear to benefit more from the treatment. The experiment design allows us to disentangle “workload division or commitment” effects from “feedback provision” effects. We find that the estimated treatment impact is due exclusively to the first effect, while the feedback provision has no positive effect on performance. Finally, the better performance of treated students in targeted examinations seems not to be obtained at the expenses of results earned in other examinations.     

Factors affecting willingness to mentor

The paper presents a survey among 300 employees in Northern Italy to assess the willingness to mentor and identify the factors that affect it. Men and respondents with previous mentoring experience indicate a higher willingness to be a mentor. Willingness is affected by personal characteristics that are perceived as necessary for a mentor and the perceived benefits and drawbacks of mentoring.     

Cross-linguistic analysis of vocabulary in young children: spanish, dutch, French, hebrew, italian, korean, and american english

The composition of young children's vocabularies in 7 contrasting linguistic communities was investigated. Mothers of 269 twenty-month-olds in Argentina, Belgium, France, Israel, Italy, the Republic of Korea, and the United States completed comparable vocabulary checklists for their children. In each language and vocabulary size grouping (except for children just learning to talk), children's vocabularies contained relatively greater proportions of nouns than other word classes. Each word class was consistently positively correlated with every other class in each language and for children with smaller and larger vocabularies. Noun prevalence in the vocabularies of young children and the merits of several theories that may account for this pattern are discussed.     

Foreign language learning difficulties in Italian children: are they associated with other learning difficulties?

A group of seventh- and eighth-grade Italian students with low achievement (LA) in learning English as a foreign language (FL) was selected and compared to a group with high achievement (HA) in FL learning. The two groups were matched for age and nonverbal intelligence. Two experiments were conducted to examine the participants' verbal and nonverbal learning skills, such as native language reading accuracy, speed and comprehension, calculation, and attention and self-regulation. Both experiments showed that the LA group seemed at risk for reading comprehension difficulties, but its reading speed and accuracy were within the average range according to Italian norms. The results also excluded the possibility that FL learning difficulties of LA participants could be associated with a deficit in calculation. Furthermore, according to teachers' ratings, children with LA appeared at risk for attention-deficit disorder (ADD). The pattern of learning difficulties of seventh- and eighth-grade participants with LA appeared to be not completely comparable with that of high school students at risk of FL learning difficulties as described in the literature.