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This chapter presents innovative technologies for enhancing web-based strategies available to educators willing to enhance students’ self-paced and self-regulated learning processes for scientific education. Various strategies for clarifying and disseminating shared resources and structured domain models help human experts in planning appropriate educational paths for individual learners: the chapter focuses on methodologies for organizing automatic assessment resources on top of natural language metadata. Learning management systems enable interaction, content integration, and communication via collaboration tools; they are environments where instructors expand formative assessment and web-based teaching strategies in virtual communities of practice. System integrations enable to organize and dispatch digital contents: clustering techniques, formal concept analysis, natural language processing, and knowledge representation models are new means for adaptively providing students with online activities. Theoretical bases from up-to-date studies for augmenting human-computer interaction at community level start from a generic framework for e-learning systems, up to practical implications and potential of related researches.

This paper presents a model for school remedial, focusing on improving the digital materials sharing process for the diversification of tutoring strategies. The model involves the characterization of materials for automatic assessment shared within a community of tutors. The characterization expects materials to be linked with natural language descriptors explicating their intended instructional objectives. The possibility of implementing a recommendation system on the basis of natural language processing techniques is discussed taking in consideration an analysis of the application of the model within a local-scale project. Clustering techniques searching for materials that have the same educational purposes but involve the activation of different cognitive processes are proposed, in order to continuously extend the database of shared materials in favour of the effectiveness of ongoing tutoring actions. The results collected from questionnaires submitted to students, tutors, and teachers involved in the project are shown, and clustering data are discussed highlighting the feasibility of the application of the model.

Supporting students in the transition from secondary school to university is an important action to be taken in order to increase the number of people with tertiary education degrees; it has positive consequences on the citizens’ working perspective and on the national economic growth. To this purpose, in the academic year 2014/2015 the University of Turin started the Project Orient@mente, a platform of self-paced open online courses aimed to guide students in the choice of a scientific university program. This paper focuses on the design of the Realignment Course in Mathematics, provided by the platform and aimed at the self-paced review and integration of knowledge that students are required to acquire during secondary school. Materials are created and structured according to the User Experience Design for Learning, with the aim of providing a valuable learning experience to students. Contents are delivered through an accessible learning management system integrated with an advanced computing environment and an automatic assessment system. Data from the usage of the activities and from the results of the online tests are analyzed in order to validate the design choices and the coherent structure of the course.

The emergence of Technology Enhanced Learning environments has led to the continual growth of the availability of digital educational resources. In this paper, the potential of enabling their reuse into student-centric services – such as recommender systems or adaptive tutoring tools – is discussed through the proposal and comparison of procedures for automatically detecting the mutual relatedness among learning objects. Since the choice of the similarity measure is fundamental for clustering digital materials, this paper addresses the investigation on two distinct approaches: the content-based semantic similarity, compared to the closeness measure on natural language descriptions of metadata – namely prerequisites and educational objectives. The analysis is conducted on a collection of mathematical problems, equipped with metadata which facilitate their retrieval in Virtual Learning Environments, created by Secondary School teachers with the support of University experts. Natural Language Processing techniques are exploited for extracting relevant information from the metadata, while the developments in the emergent field of Mathematical Language Processing are proposed for the treatment of mathematical expressions included in the resources. The distinct similarity measures presented are examined considering the compared results, and their correlation is evaluated. This study is intended to be the first step towards the definition of a model for structuring shared materials available in disciplinary repositories of virtual communities. This model will be used for implementing a system for the delivery of learning objects trajectories on a digital map automatically generated. The system’s efficacy will be tested through its integration to a Learning Management System hosting secondary school classrooms’ courses. The research is part of a PhD in Pure and Applied Mathematics in apprenticeship, conducted in partnership with leading providers of software based on Computer Algebra System engine.

Formative assessment is a practice aimed to enhance teaching and learning and to develop self-regulation. Among the strategies for activating formative assessment, the provision of feedback is one of the most studied: good feedback helps close the gap between actual and desired performance and it promotes self-regulation. Automatic Assessment Systems can improve the practice of formative assessment, especially for the immediacy of feedback and the flexible solutions for questioning. In this context, the Department of Mathematics of the University of Turin has developed a model for automatic formative assessment using an automatic assessment system suitable for STEM disciplines. The key features of the model, grounded on the models from the literature, are: availability, algorithmic questions, open answers, immediate feedback, interactive feedback, and contextualization. These are detailed and discussed through evidence gained from three experimentations, involving the total number of 553 students. In particular, it emerges that the use of interactive feedback ensures that students process the information from the feedback and use it to improve their performance, thus solving the major problem raised in the literature that feedback are not useful when students do not read them.

This paper presents a model for structuring shared resources, proposed to activate learners' formative and proactive assessment processes by enhancing the sharing-workflow among instructors. The model is based on the features of a Virtual Learning Community (VLC), and provides for the development and reuse of ontologies. The adoption of the model for the implementation of an adaptive system for the dispatching of materials is discussed on the basis of the results from clustering analyses. Semantic-similarity measures are compared by their application for clustering a collection of mathematical questions for automatic assessment, created by instructors within a national-wide VLC for Secondary Schools.

Teachers need, in a lifelong learning dimension, occasions that provide them with opportunities to reflect on the activities done by themselves, to learn how to use the newest and most advanced technologies in their teaching, to exchange ideas, to confront themselves on the updated didactic methodologies. Only in this way can they enhance their professional competences and keep the motivation for their job high. Online contexts seem to be the most appropriate option for in-service teacher training because teachers work fulltime in school and, having personal and family responsibilities, it is difficult to find time for scheduled meetings. In this paper we will discuss online asynchronous collaboration within the virtual community of the Italian teachers of Mathematics of secondary schools who participate to the national Problem Posing and Solving (PP&S) Project of the Italian Ministry of Education. One of the main goals of PP&S, which started in 2012, is to enhance teaching and learning Mathematics and Informatics using new methodologies and technologies. The community lives on an e-learning Moodle platform integrated with several tools. Using a multi-method approach, we analyse the online forum discussions among teachers and tutors collected in the last three years; in particular, we explore which kind of activities they suggest to adopt in their real-world classes and the nature of the interactive processes activated in the community. This collaboration among teachers is a peer support and facilitates the process of transformation of practices and of construction of new professional knowledge and competences. Some implications for the training of teachers in pre-service are discussed.

This paper shows a model of teacher training developed by the XXX of the ZZZ, aimed at introducing teachers to the use of innovative methodologies for learning Mathematics and for developing disciplinary and cross-cutting competences. The learning methodologies proposed are mainly based on Problem Posing and Problem Solving, the use of an Advanced Computing Environment, of a Virtual Learning Environment and of an Automated Assessment System. The training model, designed in blended modality, mainly relies on the creation of an online community of practice, where teachers, supported by tutors, collaborate in the creation of interactive learning materials for their classes. They acquire competences not only in the use of learning technologies, but also on sharing and collaborating in virtual environments; they learn how to develop self-tailored didactic methodologies. The key strengths of this model are highlighted and the results, achieved after the experimentation in several projects, are discussed, showing the effectiveness of the model.

[EN] The paper shows how problem solving competences can be developed by solving contextualized problems using an Advanced Computing Environment (ACE). An ACE is a computer system which enables its user to perform numeric and symbolic computations, graphical representations in two and three dimensions, insert embedded components and create interactive worksheet, all in the same user-friendly environment. An ACE allows students to approach a problematic situation in the way that most suits their thinking, to use different types of representations according to the chosen strategy and to display the whole reasoning together with verbal explanation in the same page: in other words, they can fulfill all the processes that problem solving involves. This paper analyzes a problem solving activity with an ACE proposed by the XXX of the ZZZ, and clarifies, also through examples, how the use of the ACE makes it possible to solve real and relevant problems, facilitates the comprehension of the situation and of the Mathematics laying behind and enhance critical thinking., The authors desire to thank the Fondazione CRT of Turin, in particular dott.ssa Daniela Tornielli for the support given for the Project Digital Mate Training and for her remarkable dedication and passion.

In modern societies, life itself is a problem solving. OCSE-PISA defined the problem-solving competence as the capacity to engage in cognitive processing to understand and solve problem situations where a method of solution is not immediately obvious. Hence in teaching Mathematics, and in general scientific subjects, it becomes important to adopt new methods centred on student learning, which are able not only to deliver knowledge but also to enhance the competence in problem solving. It is essential to start from simulated real-life problem situations in order to explain new concepts, since it enables students to understand the application of Mathematics as well as to enhance their ability to regulate problem-solving processes. The University of Turin has adopted problem solving digital methodologies using a virtual learning environment integrated with an advanced computing environment, automatic assessment and a web conference system. This set of technologies promote interaction among students and help teachers guide and coach their students in creating, conjecturing, exploring, testing and verifying. In the Erasmus+ Project SMART – Science and Mathematics Advanced Research in good Teaching - the University of Turin shared these methodologies with other European partners (Strategic Partnership Key action). The aim of this exchange of best practices is to obtain Mathematics and Science teachers who are more involved in the methodology and consequently students who are better equipped to develop coherent mental representations of problem situations, more flexible in incorporating feedback and in reflecting. In the paper, examples of interactive material produced and tested in the Project are presented and the results of the experience are discussed.

Adaptive teaching consists in a teaching style aimed at overcoming inner differences among learners by providing them tailored ways to achieve outcomes according to their learning style, culture and needs. ICTs play an important role in supporting teachers with the adoption of adaptive strategies. Adaptive teaching acquires relevance in contexts of scholastic remediation and in reducing failures. The paper presents and discusses how adaptive teaching is used within "Scuola dei Compiti", a project proposed by the City of Turin (Italy) in collaboration with the University and the Polytechnic of Turin, aimed at reducing the drop-out rate and at enhancing scholastic success. University students help groups of 5-6 students aged 13-15 with their difficulties in the main subjects (Mathematics, Italian Language, Foreign Languages). Part of the Mathematics courses adopt a set of innovative computer based methodologies developed by the Department of Mathematics of the University of Turin, including a virtual learning environment integrated with an advanced computing environment, an automatic assessment system and a web-conference tool, which supports adaptive teaching. The project has involved over 7500 students in the last 5 years, the results achieved, discussed in the paper, show the effectiveness of these methodologies with respect to traditional teaching methods.

This paper will analyze Orient@mente, a project developed by the University of Turin since the 2014/2015 academic year. The project's main purpose is to support students in their choice of the most appropriate university study course. An educational model for university guidance has been developed and applied in the creation of a self-paced MOOC. It is provided through a learning management system integrated with an advanced computing environment, an automated assessment system and a web conference system. In the platform students can find accessible activities such as interactive resources, information, orienting material about 15 scientific courses, automatically graded tests, review courses. As a result, the University of Turin has recorded enrollment growth in scientific courses. Students’ feedback has shown high appreciation of these innovative teaching methods and digital devices for learning Mathematics and other scientific subjects. In the next future, the University of Turin is interested in extending a similar service oriented towards other courses, especially courses which provide a highly selective admission test and requires a specific background of knowledge.