Contributions of Neuroscience to Develop Teaching Strategies and Learning of Mathematics

The goal of the present work is to develop some strategies based on research in neurosciences that contribute to the teaching and learning of mathematics. The interrelationship of education with the brain, as well as the relationship of cerebral structures with mathematical thinking was discussed. Strategies were developed taking into consideration levels that include cognitive, semiotic, language, affect and the overcoming of phobias to the subject. The fundamental conclusion was the imperative educational requirement in the near future of a new teacher, whose pedagogic formation must include the knowledge on the cerebral function, its structures and its implications to education, as well as a change in pedagogy and curricular structure in the teaching of mathematics.

On-line life history calendar and sensitive topics : A pilot study

The use of the life history calendar (LHC) or the event history calendar as tools for collecting retrospective data has received increasing attention in many fields of social science and medicine. However, little research has examined the use of this method with web-based surveys. In this study, we adapted this method to an on-line setting to collect information about young adults' life histories, sexual behaviors, and substance use. We hypothesized that the LHC method would help respondents to date sensitive and non-sensitive events more precisely than when using a conventional questionnaire. We conducted an experimental design study comparing university students' responses to an on-line LHC and a conventional on-line question list. A test-retest design in which the respondents completed the survey again two weeks later was also applied to test the precision and reliability of the participants' dating of events. The results showed that whereas the numbers of sensitive and non-sensitive events were generally similar for the two on-line questionnaires, the responses obtained with the LHC were more consistent across the two administrations. Analyses of the respondents' on-line behavior while completing the LHC confirmed that respondents used the LHC's graphic interface to correct and reedit previous answers, thus decreasing data errors. (C) 2015 Elsevier Ltd. All rights reserved.

The effects of ICT on school: teachers’ and students’ perspectives

The purpose of this study was to investigate the effects of information and communication technology (ICT) on school from teachers’ and students’ perspectives. The focus was on three main subject matters: on ICT use and competence, on teacher and school community, and on learning environment and teaching practices. The study is closely connected to the national educational policy which has aimed strongly at supporting the implementation of ICT in pedagogical practices at all institutional levels. The phenomena were investigated using a mixed methods approach. The qualitative data from three cases studies and the quantitative data from three statistical studies were combined. In this study, mixed methods were used to investigate the complex phenomena from various stakeholders’ points of view, and to support validation by combining different perspectives in order to give a fuller and more complete picture of the phenomena. The data were used in a complementary manner. The results indicate that the technical resources for using ICT both at school and at homes are very good. In general, students are capable and motivated users of new technology; these skills and attitudes are mainly based on home resources and leisuretime use. Students have the skills to use new kinds of applications and new forms of technology, and their ICT skills are wide, although not necessarily adequate; the working habits might be ineffective and even wrong. Some students have a special kind of ICT-related adaptive expertise which develops in a beneficial interaction between school guidance and challenges, and individual interest and activity. Teachers’ skills are more heterogeneous. The large majority of teachers have sufficient skills for everyday and routine working practices, but many of them still have difficulties in finding a meaningful pedagogical use for technology. The intensive case study indicated that for the majority of teachers the intensive ICT projects offer a possibility for learning new skills and competences intertwined in the work, often also supported by external experts and a collaborative teacher community; a possibility that “ordinary” teachers usually do not have. Further, teachers’ good ICT competence help them to adopt new pedagogical practices and integrate ICT in a meaningful way. The genders differ in their use of and skills in ICT: males show better skills especially in purely technical issues also in schools and classrooms, whereas female students and younger female teachers use ICT in their ordinary practices quite naturally. With time, the technology has become less technical and its communication and creation affordances have become stronger, easier to use, more popular and motivating, all of which has increased female interest in the technology. There is a generation gap in ICT use and competence between teachers and students. This is apparent especially in the ICT-related pedagogical practices in the majority of schools. The new digital affordances not only replace some previous practices; the new functionalities change many of our existing conceptions, values, attitudes and practices. The very different conceptions that generations have about technology leads, in the worst case, to a digital gap in education; the technology used in school is boring and ineffective compared to the ICT use outside school, and it does not provide the competence needed for using advanced technology in learning. The results indicate that in schools which have special ICT projects (“ICT pilot schools”) for improving pedagogy, these have led to true changes in teaching practices. Many teachers adopted student-centred and collaborative, inquiry-oriented teaching practices as well as practices that supported students' authentic activities, independent work, knowledge building, and students' responsibility. This is, indeed, strongly dependent on the ICT-related pedagogical competence of the teacher. However, the daily practices of some teachers still reflected a rather traditional teacher-centred approach. As a matter of fact, very few teachers ever represented solely, e.g. the knowledge building approach; teachers used various approaches or mixed them, based on the situation, teaching and learning goals, and on their pedagogical and technical competence. In general, changes towards pedagogical improvements even in wellorganised developmental projects are slow. As a result, there are two kinds of ICT stories: successful “ICT pilot schools” with pedagogical innovations related to ICT and with school community level agreement about the visions and aims, and “ordinary schools”, which have no particular interest in or external support for using ICT for improvement, and in which ICT is used in a more routine way, and as a tool for individual teachers, not for the school community.

Perspectives interculturelles et interlinguistiques sur le discours académique – Crosscultural and Crosslinguistic Perspectives on Academic Discourse. Volume 1

The Department of French Studies of the University of Turku (Finland) organized an International Bilingual Conference on Crosscultural and Crosslinguistic Perspectives on Academic Discourse from 2022 May 2005. The event hosted specialists on Academic Discourse from Belgium, Finland, France, Germany, Italy, Norway, Spain, and the USA. This book is the first volume in our series of publications on Academic Discourse (AD hereafter). The following pages are composed of selected papers from the conference and focus on different aspects and analytical frameworks of Academic Discourse. One of the motivations behind organizing the conference was to examine and expand research on AD in different languages. Another one was to question to what extent academic genres are culturebound and language specific or primarily field or domain specific. The research carried out on AD has been mainly concerned with the use of English in different academic settings for a long time now – mainly written contexts – and at the expense of other languages. Alternatively the academic genre conventions of English and English speaking world have served as a basis for comparison with other languages and cultures. We consider this first volume to be a strong contribution to the spreading out of researches based on other languages than English in AD, namely Finnish, French, Italian, Norwegian and Romanian in this book. All the following articles have a strong link with the French language: either French is constitutive of the AD corpora under examination or the article was written in French. The structure of the book suggests and provides evidence that the concept of AD is understood and tackled to varying degrees by different scholars. Our first volume opens up the discussion on what AD is and backs dissemination, overlapping and expansion of current research questions and methodologies. The book is divided into three parts and contains four articles in English and six articles in French. The papers in part one and part two cover what we call the prototypical genre of written AD, i.e. the research article. Part one follows up on issues linked to the 13 Research Article (RA hereafter). Kjersti Fløttum asks wether a typical RA exists and concentrates on authors’ voices in RA (self and other dimensions), whereas Didriksen and Gjesdal’s article focuses on individual variation of the author’s voice in RA. The last article in this section is by Nadine Rentel and deals with evaluation in the writing of RA. Part two concentrates on the teaching and learning of AD within foreign language learning, another more or less canonical genre of AD. Two aspects of writing are covered in the first two articles: foreign students’ representations on rhetorical traditions (Hidden) and a contrastive assessment of written exercices in French and Finnish in Higher Education (Suzanne). The last contribution in this section on AD moves away from traditional written forms and looks at how argumentation is constructed in students’ oral presentations (Dervin and Fauveau). The last part of the book continues the extension by featuring four articles written in French exploring institutional and scientific discourses. Institutional discourses under scrutiny include the European Bologna Process (Galatanu) and Romanian reform texts (Moilanen). As for scientific discourses, the next paper in this section deconstructs an ideological discourse on the didactics of French as a foreign language (Pescheux). Finally, the last paper in part three reflects on varied forms of AD at university (Defays). We hope that this book will add some fuel to continue discussing diverse forms of and approches to AD – in different languages and voices! No need to say that with the current upsurge in academic mobility, reflecting on crosscultural and crosslinguistic AD has just but started.

The perfect space: classroom environments and learning outcomes

Presentation at the Ontario Library Association Super Conference, January 28-21, 2015, Toronto, ON.

Creating and implementing a biodiversity recording app for teaching and research in environmental studies

This case study reports on the development of a bespoke mobile recording app for collating records of biodiversity sightings on a University campus. This innovative project was achieved through a multi-disciplinary partnership of staff and students. It is hoped that the app itself will benefit lecturers by streamlining data collection during teaching and learning activities, whilst engaging students and highlighting the wealth of diversity available on campus

Action Research and Learning Analytics in Higher Education

Teaching is a dynamic activity. It can be very effective, if its impact is constantly monitored and adjusted to the demands of changing social contexts and needs of learners. This implies that teachers need to be aware about teaching and learning processes. Moreover, they should constantly question their didactical methods and the learning resources, which they provide to their students. They should reflect if their actions are suitable, and they should regulate their teaching, e.g., by updating learning materials based on new knowledge about learners, or by motivating learners to engage in further learning activities. In the last years, a rising interest in ‘learning analytics’ is observable. This interest is motivated by the availability of massive amounts of educational data. Also, the continuously increasing processing power, and a strong motivation for discovering new information from these pools of educational data, is pushing further developments within the learning analytics research field. Learning analytics could be a method for reflective teaching practice that enables and guides teachers to investigate and evaluate their work in future learning scenarios. However, this potentially positive impact has not yet been sufficiently verified by learning analytics research. Another method that pursues these goals is ‘action research’. Learning analytics promises to initiate action research processes because it facilitates awareness, reflection and regulation of teaching activities analogous to action research. Therefore, this thesis joins both concepts, in order to improve the design of learning analytics tools. Central research question of this thesis are: What are the dimensions of learning analytics in relation to action research, which need to be considered when designing a learning analytics tool? How does a learning analytics dashboard impact the teachers of technology-enhanced university lectures regarding ‘awareness’, ‘reflection’ and ‘action’? Does it initiate action research? Which are central requirements for a learning analytics tool, which pursues such effects? This project followed design-based research principles, in order to answer these research questions. The main contributions are: a theoretical reference model that connects action research and learning analytics, the conceptualization and implementation of a learning analytics tool, a requirements catalogue for useful and usable learning analytics design based on evaluations, a tested procedure for impact analysis, and guidelines for the introduction of learning analytics into higher education.

Teaching and evaluating mechanical vibrations with Matlab®

The study of the response of mechanical systems to external excitations, even in the simplest cases, involves solving second-order ordinary differential equations or systems thereof. Finding the natural frequencies of a system and understanding the effect of variations of the excitation frequencies on the response of the system are essential when designing mechanisms [1] and structures [2]. However, faced with the mathematical complexity of the problem, students tend to focus on the mathematical resolution rather than on the interpretation of the results. To overcome this difficulty, once the general theoretical problem and its solution through the state space [3] have been presented, Matlab®[4] and Simulink®[5] are used to simulate specific situations. Without them, the discussion of the effect of slight variations in input variables on the outcome of the model becomes burdensome due to the excessive calculation time required. Conversely, with the help of those simulation tools, students can easily reach practical conclusions and their evaluation can be based on their interpretation of results and not on their mathematical skills

The UK MPharm (1) - are we over reliant on traditional teaching methods?

Introduction-The design of the UK MPharm curriculum is driven by the Royal Pharmaceutical Society of Great Britain (RPSGB) accreditation process and the EU directive (85/432/EEC).[1] Although the RPSGB is informed about teaching activity in UK Schools of Pharmacy (SOPs), there is no database which aggregates information to provide the whole picture of pharmacy education within the UK. The aim of the teaching, learning and assessment study [2] was to document and map current programmes in the 16 established SOPs. Recent developments in programme delivery have resulted in a focus on deep learning (for example, through problem based learning approaches) and on being more student centred and less didactic through lectures. The specific objectives of this part of the study were (a) to quantify the content and modes of delivery of material as described in course documentation and (b) having categorised the range of teaching methods, ask students to rate how important they perceived each one for their own learning (using a three point Likert scale: very important, fairly important or not important). Material and methods-The study design compared three datasets: (1) quantitative course document review, (2) qualitative staff interview and (3) quantitative student self completion survey. All 16 SOPs provided a set of their undergraduate course documentation for the year 2003/4. The documentation variables were entered into Excel tables. A self-completion questionnaire was administered to all year four undergraduates, using a pragmatic mixture of methods, (n=1847) in 15 SOPs within Great Britain. The survey data were analysed (n=741) using SPSS, excluding non-UK students who may have undertaken part of their studies within a non-UK university. Results and discussion-Interviews showed that individual teachers and course module leaders determine the choice of teaching methods used. Content review of the documentary evidence showed that 51% of the taught element of the course was delivered using lectures, 31% using practicals (includes computer aided learning) and 18% small group or interactive teaching. There was high uniformity across the schools for the first three years; variation in the final year was due to the project. The average number of hours per year across 15 schools (data for one school were not available) was: year 1: 408 hours; year 2: 401 hours; year 3: 387 hours; year 4: 401 hours. The survey showed that students perceived lectures to be the most important method of teaching after dispensing or clinical practicals. Taking the very important rating only: 94% (n=694) dispensing or clinical practicals; 75% (n=558) lectures; 52% (n=386) workshops, 50% (n=369) tutorials, 43% (n=318) directed study. Scientific laboratory practices were rated very important by only 31% (n=227). The study shows that teaching of pharmacy to undergraduates in the UK is still essentially didactic through a high proportion of formal lectures and with high levels of staff-student contact. Schools consider lectures still to be the most cost effective means of delivering the core syllabus to large cohorts of students. However, this does limit the scope for any optionality within teaching, the scope for small group work is reduced as is the opportunity to develop multi-professional learning or practice placements. Although novel teaching and learning techniques such as e-learning have expanded considerably over the past decade, schools of pharmacy have concentrated on lectures as the best way of coping with the huge expansion in student numbers. References [1] Council Directive. Concerning the coordination of provisions laid down by law, regulation or administrative action in respect of certain activities in the field of pharmacy. Official Journal of the European Communities 1985;85/432/EEC. [2] Wilson K, Jesson J, Langley C, Clarke L, Hatfield K. MPharm Programmes: Where are we now? Report commissioned by the Pharmacy Practice Research Trust., 2005.

Making the grade: The perceived impact of Florida's A+ Plan on the learning environment of one elementary school

The purpose of this study was to ascertain the perceptions of educators at one elementary school regarding the changes in the teaching and learning environment and their related effects following the implementation of Florida's A+ high-stakes accountability system. This study also assessed whether these changes were identified by participants as meaningful and enduring, in terms of the definition by Lieberman and Miller (1999). Twenty-one educators, including 17 teachers and four administrators, at Blue Ribbon Elementary school were interviewed. Data were inductively coded and categorized into four major themes: (a) teaching and learning environment consistency, (b) changes in the teaching and learning environment since the implementation of A+, (c) effects of the changes, and (d) significant and enduring change. Findings fell into three categories (a) identified changes since A+ implementation, (b) effects of changes, and (c) what participants believed was significant and long term change, which included those characteristics of the school that had been identified as consistent in the teaching and learning environment. Statements of the participants explained their perceptions about what instructional decisions where made in response to the A+ Plan including the modification of curriculum, the addition or omission of subject matter taught, and the positive or negative impact these decisions had on the teaching and learning environment. It was found that study participants felt all changes and their effects were a direct result of the A+ Plan and viewed many of the changes as being neither significant nor long term Analysis of the educators' perceptions of the changes they experienced revealed the overall feeling that the changes were not indicative of what was necessary to make a school successful. For the participants, the changes lacked the characteristics that they had described as vital in what constituted success. This led to the conclusion that, by Lieberman and Miller's definition, the majority of changes and effects that were implemented at the school as a result of the mandated A+ Plan, were not meaningful and enduring for effective school reform. ^

Making the grade : the perceived impact on Florida's A+ plan on the learning environment of one elementary school

The purpose of this study was to ascertain the perceptions of educators at one elementary school regarding the changes in the teaching and learning environment and their related effects following the implementation of Florida's A+ high-stakes accountability system. This study also assessed whether these changes were identified by participants as meaningful and enduring, in terms of the definition by Lieberman and Miller (1999). Twenty-one educators, including 17 teachers and four administrators, at Blue Ribbon Elementary school were interviewed. Data were inductively coded and categorized into four major themes: (a) teaching and learning environment consistency, (b) changes in the teaching and learning environment since the implementation of A+, (c) effects of the changes, and (d) significant and enduring change. Findings fell into three categories (a) identified changes since A+ implementation, (b) effects of changes, and (c) what participants believed was significant and long term change, which included those characteristics of the school that had been identified as consistent in the teaching and learning environment. Statements of the participants explained their perceptions about what instructional decisions where made in response to the A+ Plan including the modification of curriculum, the addition or omission of subject matter taught, and the positive or negative impact these decisions had on the teaching and learning environment. It was found that study participants felt all changes and their effects were a direct result of the A+ Plan and viewed many of the changes as being neither significant nor long term Analysis of the educators' perceptions of the changes they experienced revealed the overall feeling that the changes were not indicative of what was necessary to make a school successful. For the participants, the changes lacked the characteristics that they had described as vital in what constituted success. This led to the conclusion that, by Lieberman and Miller's definition, the majority of changes and effects that were implemented at the school as a result of the mandated A+ Plan, were not meaningful and enduring for effective school reform.

Cooperation, interaction and learning in local production systems: Evidence in Brazilian firms

In a local production system (LPS), besides external economies, the interaction, cooperation, and learning are indicated by the literature as complementary ways of enhancing the LPS's competitiveness and gains. In Brazil, the greater part of LPSs, mostly composed by small enterprises, displays incipient relationships and low levels of interaction and cooperation among their actors. The size of the participating enterprises itself for specificities that engender organizational constraints, which, in turn, can have a considerable impact on their relationships and learning dynamics. For that reason, it is the purpose of this article to present an analysis of interaction, cooperation, and learning relationships among several types of actors pertaining to an LPS in the farming equipment and machinery sector, bearing in mind the specificities of small enterprises. To this end, the fieldwork carried out in this study aimed at: (i) investigating external and internal knowledge sources conducive to learning and (ii) identifying and analyzing motivating and inhibiting factors related to specificities of small enterprises in order to bring the LPS members closer together and increase their cooperation and interaction. Empirical evidence shows that internal aspects of the enterprises, related to management and infrastructure, can have a strong bearing on their joint actions, interaction and learning processes.

Reasoning and proof in classroom (9th grade)

This paper is research oriented and pretends to contribute toward giving empirical evidence about how students develop their reasoning and how they achieved to a proof construction in school context. Its main theme is epistemology. It describes the way in which four students in 9th Grade explored a task related with the discovery of symmetry axes in various geometric figures. The proof constructed by students had essentially an explaining function and it was related with the symmetry axes of regular polygons. The teacher’s role in meaning negotiation of the proof and its need is described through illustrative episodes. The paper presents part of a study which purpose is to analyse the nature of mathematical proof in classroom, its role and the nature of the relationship between the construction of a proof and the social interactions. Assuming a social perspective, attention is focussed on the social construction of knowledge and on the structuring resources that shape mathematical experience. The study’s methodology has an interpretative nature. One outcome of the study discussed here is that students develop first a practical understanding with no awareness of the reasons founding mathematical statements and after a theoretical one leading them to a proof elaboration.

A didactic sequence of elementary geometric optics Informed by history and philosophy of science

The concepts and instruments required for the teaching and learning of geometric optics are introduced in the didactic processwithout a proper didactic transposition. This claim is secured by the ample evidence of both wide- and deep-rooted alternative concepts on the topic. Didactic transposition is a theory that comes from a reflection on the teaching and learning process in mathematics but has been used in other disciplinary fields. It will be used in this work in order to clear up the main obstacles in the teachinglearning process of geometric optics. We proceed to argue that since Newton’s approach to optics, in his Book I of Opticks, is independent of the corpuscular or undulatory nature of light, it is the most suitable for a constructivist learning environment. However, Newton’s theory must be subject to a proper didactic transposition to help overcome the referred alternative concepts. Then is described our didactic transposition in order to create knowledge to be taught using a dialogical process between students’ previous knowledge, history of optics and the desired outcomes on geometrical optics in an elementary pre-service teacher training course. Finally, we use the scheme-facet structure of knowledge both to analyse and discuss our results as well as to illuminate shortcomings that must be addressed in our next stage of the inquiry.