THE EFFECT OF PURPOSEFUL MATHEMATICS DISCOURSE IN THE CLASSROOM ON STUDENTS’ MATHEMATICS LANGUAGE IN THE CONTEXT OF PROBLEM SOLVING

This study examines how one secondary school teacher’s use of purposeful oral mathematics language impacted her students’ language use and overall communication in written solutions while working with word problems in a grade nine academic mathematics class. Mathematics is often described as a distinct language. As with all languages, students must develop a sense for oral language before developing social practices such as listening, respecting others ideas, and writing. Effective writing is often seen by students that have strong oral language skills. Classroom observations, teacher and student interviews, and collected student work served as evidence to demonstrate the nature of both the teacher’s and the students’ use of oral mathematical language in the classroom, as well as the effect the discourse and language use had on students’ individual written solutions while working on word problems. Inductive coding for themes revealed that the teacher’s purposeful use of oral mathematical language had a positive impact on students’ written solutions. The teacher’s development of a mathematical discourse community created a space for the students to explore mathematical language and concepts that facilitated a deeper level of conceptual understanding of the learned material. The teacher’s oral language appeared to transfer into students written work albeit not with the same complexity of use of the teacher’s oral expression of the mathematical register. Students that learn mathematical language and concepts better appear to have a growth mindset, feel they have ownership over their learning, use reorganizational strategies, and help develop a discourse community.

A HARD PUSH FOR SOFT SKILLS: AN EXAMINATION OF POLICY AND RESEARCH ON NON-COGNITIVE SKILLS IN CANADIAN K-12 SCHOOLING

Non-cognitive skills have caught the attention of current education policy writers in Canada. Within the last 10 years, almost every province has produced a document including the importance of supporting non-cognitive skills in K-12 students in the classroom. Although often called different names (such as learning skills, cross curricular competencies, and 20th Century Skills) and occasionally viewed through different lenses (such as emotional intelligence skills, character skills, and work habits), what unifies non-cognitive skills within the policy documents is the claim that students that are strong in these skills are more successful in academic achievement and are more successful in post-secondary endeavors. Though the interest from policy-makers and educators is clear, there are still many questions about non-cognitive skills that have yet to be answered. These include: What skills are the most important for teacher’s to support in the classroom? What are these skills’ exact contributions to student success? How can teachers best support these skills? Are there currently reliable and valid measures of these skills? These are very important questions worth answering if Canadian teachers are expected to support non-cognitive skills in their classrooms with an already burdened workload. As well, it can begin to untangle the plethora of research that exists within the non-cognitive realm. Without a critical look at the current literature, it is impossible to ensure that these policies are effective in Canadian classrooms, and to see an alignment between research and policy. Upon analysis of Canadian curriculum, five non-cognitive skills were found to be the most prevalent among many of the provinces: Self-Regulation, Collaboration, Initiative, Responsibility and Creativity. The available research literature was then examined to determine the utility of teaching these skills in the classroom (can students improve on these skills, do these skills impact other aspects of students’ lives, and are there methods to validly and reliably assess these skills). It was found that Self-Regulation and Initiative had the strongest basis for being implemented in the classroom. On the other hand, Creativity still requires a lot more justification in terms of its impact on students’ lives and ability to assess in the classroom.

A Cultural Approach to a Canadian Tragedy: The Indian Residential Schools as a Sacred Enterprise

For over a century, the Canadian state funded a church-run system of residential schools designed to assimilate Aboriginal children into Euro-Canadian culture. In addition to the problems associated with its ethnocentric philosophy, the school system was also characterised by terrible health conditions and physical and sexual abuse of the students was widespread. Recently, the schools have been the object of the most successful struggle for redress in Canadian history. One particularly puzzling aspect about the school system is that it persisted for so long, despite that many of its failings were known very early in its operation. In this article, this puzzle is addressed via a cultural analysis of a political struggle over the residential schools that occurred within Canadian Anglicanism at the outset of the twentieth century. The article concludes that the meaning of the school system as a sacred enterprise contributed to its persistence.

English: its role as the language of comity in an employment programme for Canadian immigrants.

This study explores the experiences of a culturally and linguistically diverse group of immigrant adult students as they attended a 12-week employment preparation course for newcomers to Canada. The main aim of the course was to equip the immigrants with knowledge and skills, including English for employment purposes, which are necessary to be competitive in the labour market. Using ethnographic methods, mainly participant observation with audio recording, to collect data, this paper analyses the communicative strategies that this group of multilingual speakers and their Canadian teachers deployed to discursively construct a ‘heterotopia’ defined here as ‘intensely affective spaces that redefine the experiential feeling of being and becoming’. Analysis of transcribed audio recordings reveals that despite differences in communication conventions and sociocultural backgrounds, the research participants from Congo, Haiti, India, Bangladesh, Jordan and the Philippines managed to establish a socially cohesive team that emphasises shared relational identity and in-group membership. The findings show how they creatively mobilised previously acquired pragmatic strategies and resources from their L1 to suit the demands of the ongoing interaction in English. It is suggested that language teaching in the context of preparing immigrants for labour market integration entails a pedagogical approach that foregrounds the affordances of English not only as the language of employment but perhaps more importantly as the ‘language of comity’. It is therefore suggested that the teaching of the host country’s language should focus less on grammatical correctness and focus more on providing the adult learners with opportunities to activate existing pragmatic resources and strategies which have to do with establishing rapport and friendly relations.

An exploration of students’ perceptions and attitudes towards creativity in engineering education

Thesis (Master, Mechanical and Materials Engineering) -- Queen's University, 2016-09-29 17:45:16.051

Systems 1 and 2 thinking processes and cognitive reflection testing in medical students

Background: Diagnostic decision-making is made through a combination of Systems 1 (intuition or pattern-recognition) and Systems 2 (analytic) thinking. The purpose of this study was to use the Cognitive Reflection Test (CRT) to evaluate and compare the level of Systems 1 and 2 thinking among medical students in pre-clinical and clinical programs. Methods: The CRT is a three-question test designed to measure the ability of respondents to activate metacognitive processes and switch to System 2 (analytic) thinking where System 1 (intuitive) thinking would lead them astray. Each CRT question has a correct analytical (System 2) answer and an incorrect intuitive (System 1) answer. A group of medical students in Years 2 & 3 (pre-clinical) and Years 4 (in clinical practice) of a 5-year medical degree were studied. Results: Ten percent (13/128) of students had the intuitive answers to the three questions (suggesting they generally relied on System 1 thinking) while almost half (44%) answered all three correctly (indicating full analytical, System 2 thinking). Only 3-13% had incorrect answers (i.e. that were neither the analytical nor the intuitive responses). Non-native English speaking students (n = 11) had a lower mean number of correct answers compared to native English speakers (n = 117: 1.0 s 2.12 respectfully: p < 0.01). As students progressed through questions 1 to 3, the percentage of correct System 2 answers increased and the percentage of intuitive answers decreased in both the pre-clinical and clinical students. Conclusions: Up to half of the medical students demonstrated full or partial reliance on System 1 (intuitive) thinking in response to these analytical questions. While their CRT performance has no claims to make as to their future expertise as clinicians, the test may be used in helping students to understand the importance of awareness and regulation of their thinking processes in clinical practice.