An Abstract Algebraic Theory of L-Fuzzy Relations for Relational Databases

Classical relational databases lack proper ways to manage certain real-world situations including imprecise or uncertain data. Fuzzy databases overcome this limitation by allowing each entry in the table to be a fuzzy set where each element of the corresponding domain is assigned a membership degree from the real interval [0…1]. But this fuzzy mechanism becomes inappropriate in modelling scenarios where data might be incomparable. Therefore, we become interested in further generalization of fuzzy database into L-fuzzy database. In such a database, the characteristic function for a fuzzy set maps to an arbitrary complete Brouwerian lattice L. From the query language perspectives, the language of fuzzy database, FSQL extends the regular Structured Query Language (SQL) by adding fuzzy specific constructions. In addition to that, L-fuzzy query language LFSQL introduces appropriate linguistic operations to define and manipulate inexact data in an L-fuzzy database. This research mainly focuses on defining the semantics of LFSQL. However, it requires an abstract algebraic theory which can be used to prove all the properties of, and operations on, L-fuzzy relations. In our study, we show that the theory of arrow categories forms a suitable framework for that. Therefore, we define the semantics of LFSQL in the abstract notion of an arrow category. In addition, we implement the operations of L-fuzzy relations in Haskell and develop a parser that translates algebraic expressions into our implementation.

Teaching Reading to ESL Adult Literacy Learners: The Development of an Instructor’s Handbook

The purpose of this project was to develop an instructors’ handbook that provides the declarative, procedural, and conditional knowledge associated with the interactive instructional approach, differentiated instruction, and the gradual release of responsibility framework for teaching reading to English as a second language adult literacy learners. The need for this handbook was determined by conducting a critical analysis of existing handbooks and concluding that no handbook completely addressed the 3 types of knowledge for the 3 instructional processes. A literature review was conducted to examine the nature, use, and effectiveness of the 3 instructional processes when teaching reading to ESL adult literacy learners. The literature review also examined teachers’ preferences for reading research and found that texts that were relevant, practical, and accessible were favoured. Hence, these 3 elements were incorporated as part of the handbook design. Three peer reviewers completed a 35-item 5-point Likert scale evaluation form that also included 5 open-ended questions. Their feedback about the handbook’s relevancy, practicality, accessibility, and face validity were incorporated into the final version of the handbook presented here. Reference to the handbook by ESL adult literacy instructors has the potential to support evidence-informed lesson planning which can support the ESL adult literacy learners in achieving their goals and contributing to their societies in multiple and meaningful ways.

Working Together: Librarian and Student Collaboration Through Active Learning in a Library Eclassroom

Active learning strategies based on several learning theories were incorporated during instruction sessions for second year Biological Sciences students. The instructional strategies described in this paper are based primarily on sociocultural and collaborative learning theory, with the goal being to expand the relatively small body of literature currently available that discusses the application of these learning theories to library instruction. The learning strategies employed successfully involved students in the learning process ensuring that the experiences were appropriate and effective. The researchers found that, as a result of these strategies (e.g. teaching moments based on the emerging needs of students) students’ interest in learning information literacy was increased and students interacted with information given to them as well as with their peers. Collaboration between the Librarians, Co-op Student and Senior Lab Instructor helped to enhance the learning experience for students and also revealed new aspects of the active learning experiences. The primary learning objective, which was to increase the students’ information skills in the Biological Sciences, was realized. The advantages of active learning were realized by both instructors and students. Advantages for students attained during these sessions include having their diverse learning styles addressed; increased interaction with and retention of information; increased responsibility for their own learning; the opportunity to value not only the instructors, but also themselves and their peers as sources of authority and knowledge; improved problem solving abilities; increased interest and opportunities for critical thinking, as a result of the actively exchanging information in a group. The primary advantage enjoyed by the instructors was the opportunity to collaborate with colleagues to reduce the preparation required to create effective library instruction sessions. Opportunities for further research were also discovered, including the degree to which “social loafing” plays a role in collaborative, active learning.

Investigation of Theories Supporting Engagement of Resistant Learners in Formal Academic Settings and Curriculum

This study sought to explore ways to work with a group of young people through an arts-based approach to the teaching of literacy. Through the research, the author integrated her own reflexivity applying arts methods over the past decade. The author’s past experiences were strongly informed by theories such as caring theory and maternal pedagogy, which also informed the research design. The study incorporated qualitative data collection instruments comprising interviews, journals, sketches, artifacts, and teacher field notes. Data were collected by 3 student participants for the duration of the research. Study results provide educators with data on the impact of creating informal and alternative ways to teach literacy and maintain student engagement with resistant learners.