Mathematics Education

2012 ◽  
pp. 60-89 ◽  
Author(s):  
Giovannina Albano

This chapter is concerned with the integration of research in mathematics education and e-learning. Its main aim is to provide a perspective on the teaching/learning opportunities offered by e-learning platforms in a blended learning setting, as experienced at the Universities of Salerno and of Piemonte Orientale. Two types of teaching actions have been set above all: a) tailored units of learning, which have required the design/implementation of a huge pool of learning objects, according to domain-specific guidelines from mathematics education research and to various educational parameters from e-learning research; b) cooperative or individual teacher-driven learning activities together with various practice for self or peer assessment, which have been designed according both to e-learning and mathematics pedagogies based on the active role of the learner, the interaction with tutors and peers, and the importance of critical thinking and communication skills. Finally some feedback from students is reported, and some opportunities for future research are outlined.

Author(s):  
Enver Sangineto

In this chapter we show the technical and methodological aspects of an e-learning platform for automatic course personalization built during the European funded project Diogene. The system we propose is composed of different knowledge modules and some inference tools. The knowledge modules represent the system’s information about both the domain-specific didactic material and the student model. By exploiting such information the system automatically builds courses whose didactic material is customized to meet the current student’s degree of knowledge and her/his learning preferences. Concerning the latter, we have adopted the Felder and Silverman’s pedagogical approach in order to match the student’s learning styles with the system Learning Objects’ types. Finally, we take care to describe the system’s didactic material by means of some present standards for e-learning in order to allow knowledge sharing with other e-learning platforms and knowledge searching by means of possible Semantic Web information retrieval facilities.


1970 ◽  
Vol 6 (2) ◽  
Author(s):  
Hugo Rego ◽  
Tiago Moreira ◽  
Francisco José García-Peñalvo

The main aim of the AHKME e-learning platform is to provide a system with adaptive and knowledge management abilities for students and teachers. This system is based on the IMS specifications representing information through metadata, granting semantics to all contents in the platform, giving them meaning. In this platform, metadata is used to satisfy requirements like reusability, interoperability and multipurpose. The system provides authoring tools to define learning methods with adaptive characteristics, and tools to create courses allowing users with different roles, promoting several types of collaborative and group learning. It is also endowed with tools to retrieve, import and evaluate learning objects based on metadata, where students can use quality educational contents fitting their characteristics, and teachers have the possibility of using quality educational contents to structure their courses. The learning objects management and evaluation play an important role in order to get the best results in the teaching/learning process.


Author(s):  
Sandra Sanchez-Gordon

The purpose of this chapter is to present a seven-year journey to understand the barriers that people face when interacting with e-learning and e-health online platforms and to come up with software engineering solutions to make these platforms more inclusive. This chapter per the author presents a set of contributions intended to serve as steppingstones to future research efforts. These contributions include a literature review about accessibility of e-learning platforms; the accessibility audit of e-learning and e-health platforms; the identification of accessibility requirements; the design of architectures, process, and models to improve accessibility; and the definition of a life cycle for the management of accessible online courses. In this context, this chapter relate the evolution of the research process followed and summarize the results obtained so far.


1996 ◽  
Vol 178 (1) ◽  
pp. 49-59 ◽  
Author(s):  
Fernand J. Prevost

A new view of teaching is emerging from the work of the constructivists and mathematics education reform leaders. In particular, we examine here four aspects of teaching that must change: task selection, guidance of classroom discourse, setting the learning environment, and the analysis of teaching and learning. Several national curriculum projects are working to effect these changes and examples of their work are provided. This work has motivated individual teachers to similarly design investigations that engage students in the study of significant mathematics, and two examples are included. Assessment must also change and students must learn to become less dependent on “authority” for the correctness of answers. Finally, our present understanding of constructivism and its implications for teaching/learning must not be static; though that view now may be at the center, we must listen to those who are on the edges and expect to be changed again and again in the years ahead.


10.28945/3660 ◽  
2017 ◽  
Author(s):  
Said Hadjerrouit

[This Proceedings paper was revised and published in the journal Issues in Informing Science and Information Technology] Aim/Purpose: Assess the affordances and constraints of SimReal+ in teacher education Background: There is a huge interest in visualizations in mathematics education, but there is little empirical support for their use in educational settings Methodology: Single case study with 22 participants from one class in teacher education. Quantitative and qualitative methods to collect students’ responses to a survey questionnaire and open-ended questions Contribution: The paper contributes to the understanding of affordances and constraints of visualization tools in mathematics education Findings: The visualization tool SimReal+ has potential for learning mathematics in teacher education, but the user interface should be improved to make it more usable for different users. Teachers need to consider technological and pedagogical affordances of SimReal+ at the student, classroom, and mathematics subject level Recommendations for Practitioners: Address technological and pedagogical affordances of SimReal+ Recommendation for Researchers: Improve the design of SimReal+ to make it technologically and pedagogically more usable Impact on Society: Understand the affordances and constraints of visualization tools in education Future Research: Implement a next cycle of experimentation with SimReal+ in teacher education to ensure more validity and reliability


10.28945/3692 ◽  
2017 ◽  
Vol 14 ◽  
pp. 121-138 ◽  
Author(s):  
Said Hadjerrouit

Aim/Purpose: Assess the affordances and constraints of SimReal+ in teacher education Background There is a huge interest in visualizations in mathematics education, but there is little empirical support for their use in educational settings Methodology: Single case study with 22 participants from one class in teacher education. Quantitative and qualitative methods to collect students’ responses to a survey questionnaire and open-ended questions Contribution: The paper contributes to the understanding of affordances and constraints of visualization tools in mathematics education Findings: The visualization tool SimReal+ has potential for learning mathematics in teacher education, but the user interface should be improved to make it more usable for different users. Teachers need to consider technological and pedagogical affordances of SimReal+ at the student, classroom, and mathematics subject level Recommendations for Practitioners: Address technological and pedagogical affordances of SimReal+ Recommendation for Researchers: Improve the design of SimReal+ to make it technologically and pedagogically more usable Impact on Society: Understand the affordances and constraints of visualization tools in education Future Research: Implement a next cycle of experimentation with SimReal+ in teacher education to ensure more validity and reliability


2020 ◽  
Vol 3 (2) ◽  
pp. 142
Author(s):  
Gerardo Quiroz Vieyra ◽  
Luis Fernando Muñoz González

In the construction of learning objects, as digital instructional material that is delivered to students, the level of learning to which they are directed must be considered first of all, according to the Bloom taxonomy or any other that is used, applicable to the e-learning, taking advantage of the digital resources that are currently available, multimedia for creation, digital repositories for storage and internet for access. Learning objects are built with pedagogical and technological elements that follow a process in themselves, subject to an educational model, instructional design, curriculum design and learning objectives as precedents, with stages very similar to those of design, construction and operation of an information system. Given their nature of digital entities, learning capsules that contain information and knowledge, the Data Quality Model of the ISO / IEC 25012: 2008 standard is also applicable, which guarantees the quality of the content and their access and availability. The creation of learning objects must also obey an educational strategy and be considered holistically in the e-learning system, that is, use a systemic approach throughout the teaching-learning process, including learning objects, considering harmonization , performance and quality in all its stages.


Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 858 ◽  
Author(s):  
Jin Su Jeong ◽  
David González-Gómez

Mathematics education for sustainable development is perceived as a core keystone, although its concept is related to its typical issue of ecology and economy in the educational realm. Thus, through current information and communication technology (ICT) impacts, altering pedagogy is highly conflicted in teaching/learning mathematics. This research attempted to classify and investigate criteria for mathematics education with a multi-criteria decision analysis/fuzzy-decision-making trial and evaluation laboratory (MCDA/F-DEMATEL) method in the context of the system of flipped e-learning. In particular, the sustainable development of this research focus is in mathematics education in view of pre-service teachers (PSTs) adapting to their pedagogical changes. With the MCDA/F-DEMATEL, the main criteria and sub-criteria were selected after the consultation of a group of experts as follows: mathematics education, sustainable development, and flipped-e-learning technology criteria. Then, with fifteen sub-criteria, the definitive analyses results were gauged with simple additive weighting (SAW) along with their weight coefficients’ calculation, sensitivity analysis (i–v scenarios), and a professional survey. The results described as the most important criteria for adapting to PSTs pedagogical changes in sustainable mathematical education through a flipped e-learning system were the flipped e-learning technology criteria (scenario i), with an 83% positive perception by professionals’ survey; among its sub-criteria, information technology usage contents (0.43) was the most affected variable, with a 42% very likely perception. Scenario iii, which was the slightly more preferred criteria than mathematics education, got a 78% positive perception from professionals’ survey. Therefore, this proposed methodology could be employed to validate the most important sustainable mathematics with flipped e-learning criteria for adapting to PSTs’ pedagogical changes with corresponding education contexts in more long-term learning.


Author(s):  
Maggie Hutchings ◽  
Anne Quinney ◽  
Janet Scammell

This chapter will consider the educational benefits and challenges of introducing e-learning objects within an interprofessional curriculum. It examines the tensions of curriculum development as content or process-driven in the context of facilitating interactive learning using blended learning strategies which combine online and face-to-face interactions. This chapter draws upon an evaluation of student and staff experiences of an interprofessional curriculum incorporating health and social care users and carers as case scenarios in a web-based simulated community, Wessex Bay, and highlights congruent and disruptive factors in negotiating transformative learning and cultural change. It draws conclusions and recommendations for informing practice in interprofessional education and suggests directions for future research to inform the substance (interprofessional case scenarios) and spaces (discussion boards, chat rooms, classroom) for collaborative learning in an interprofessional curriculum.


Author(s):  
Paolo Bouquet ◽  
Andrea Molinari

Semantic technologies have been studied and used in different areas of computer science. E-learning has been one of this, but the most frequent use of semantic technologies in this discipline has been in the extraction and indexing of contents, like forums, blogs, learning objects etc. The research presented in this paper aims at taking advantage of semantic technologies in a different way respect to the mainstream use that has been done in the past. This new approach refers to the use of semantic technologies in the management of the persistence layer of Learning Management Systems (LMS), i.e., where all the contents are stored. Our research follows the idea of using semantics technologies as a support, if not an entire replacement, of the backend and persistence mechanisms of LMSs. As a testbed, we will present the design and early results of the application of this approach to the persistence layer of a Virtual Communities System, where these technologies will enriched the platform to address two fundamental issues: a) entities disambiguation and identification inside the persisted objects b) adding new features to the platform without refactoring it.


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