EXAMINING SECONDARY MATHEMATICS TEACHER CANDIDATES’ LEARNING AND ENACTMENT OF MATHEMATICS TEACHING PRACTICES: A MULTIPLE CASE STUDY

This qualitative case study explored three teacher candidates’ learning and enactment of discourse-focused mathematics teaching practices. Using audio and video recordings of their teaching practice this study aimed to identify the shifts in the way in which the teacher candidates enacted the following discourse practices: elicited and used evidence of student thinking, posed purposeful questions, and facilitated meaningful mathematical discourse. The teacher candidates’ written reflections from their practice-based coursework as well as interviews were examined to see how two mathematics methods courses influenced their learning and enactment of the three discourse focused mathematics teaching practices. These data sources were also used to identify tensions the teacher candidates encountered. All three candidates in the study were able to successfully enact and reflect on these discourse-focused mathematics teaching practices at various time points in their preparation programs. Consistency of use and areas of improvement differed, however, depending on various tensions experienced by each candidate. Access to quality curriculum materials as well as time to formulate and enact thoughtful lesson plans that supported classroom discourse were tensions for these teacher candidates. This study shows that teacher candidates are capable of enacting discourse-focused teaching practices early in their field placements and with the support of practice-based coursework they can analyze and reflect on their practice for improvement. This study also reveals the importance of assisting teacher candidates in accessing rich mathematical tasks and collaborating during lesson planning. More research needs to be explored to identify how specific aspects of the learning cycle impact individual teachers and how this can be used to improve practice-based teacher education courses.

(inter)FACE: A Study of Black Families Advocating for their Children’s Education

Black students are consistently overrepresented in categories of academic underachievement. Parent engagement has long been touted as an effective strategy for improving the educational outcomes of Black children. However, most parent engagement research reflects deficit based perspectives frame Black parents as problems that must be fixed or mitigated before they can positively contribute to their children’s education. Consequently, parent engagement research and frameworks ignore the perspectives of Black parents and the assets they use to participate effectively in parent engagement. In this case study, I draw on individual and focus group interview data, documents, and observations, to examine how fifteen Black families, collectively known as FACE: 1) define and participate in parental engagement, 2) experience barriers to and opportunities for engagement, and 3) experience benefits of engagement for their children and their own personal development. Guided by Black Feminist and Critical Race Theories, I show how Black families in this study used a myriad of engagement strategies to improve their children’s educational experiences which were invisible to schools and how they used school-sanctioned engagement activities to meet their own objectives. Ultimately, I argue that school-centered parent engagement frameworks and models are ineffective for empowering Black families and accounting for the essential ways that these families contribute to the well-being of their children. Based on my findings, I discuss implications for theory, practice and policy, and research, and make recommendations for a more family-centered approach to parent engagement.

Educação bilingue em Moçambique: um estudo de caso, na Província de Gaza, centrado nas práticas pedagógicas do ensino básico

Em contextos como o de Moçambique que apresenta uma diversidade linguística, o uso de mais de uma língua no ensino é quase que obrigatório. Assim, urge a necessidade de formalizar a Educação Bilingue (EB) nas escolas moçambicanas. A modalidade de EB em Moçambique é de transição e manutenção, nas primeiras classes (1ª, 2ª e 3ª) usa-se a língua local como meio de instrução e o Português é uma disciplina, a partir da 4ª classe há uma inversão. Dessa estratégia o aluno deve estar em condições na 5ª classe de enfrentar o exame nacional, que é feito em língua oficial Portuguesa, para transitar do 1º para o 2º grau. O trabalho tem como problema esta interrogação: De que modo o programa curricular de Educação Bilingue se traduz nas práticas pedagógicas nas escolas do Ensino Básico que usam a língua Portuguesa e Changana no distrito de Bilene, na província de Gaza? O estudo empírico é de natureza qualitativa e quantitativa, com a utilização de técnicas de recolha de dados como a análise documental, entrevistas, questionário e provas escrita e oral aos alunos. Do estudo conclui-se: i) Não existe um programa de base especificamente para EB; ii) Há incongruência entre o programa e as práticas pedagógicas e iii) Os alunos apresentam maior dificuldades de compreensão, na escrita do que na oralidade, nas provas de conhecimento nas disciplinas básicas (Português e Matemática) em língua Portuguesa.

Criteria for ICT-supported Higher Education Teachers Training

Aquest document pretén recollir aportacions teòriques sobre les pràctiques pedagògiques que incorporen i promouen l'ús de les TIC per tal de definir els criteris per al disseny de la formació dels professors d'educació superior en les TIC.

Analysis of teachers training for ICT Higher Education

Aquest document pretén recollir aportacions teòriques i pràctiques sobre les pràctiques pedagògiques que incorporen i promouen l'ús de les TIC per tal d'aclarir, facilitar i fer coherent el disseny de la formació dels professors d'educació superior en les TIC. El seu propòsit és trobar alternatives de formació que compleixin amb les necessitats educatives del professor, així com per superar o atenuar les dificultats i/o la manca de voluntat a les quals s'enfronta en la pràctica educativa en introduir aplicacions de les TIC.

The development and pilot-testing of a training curriculum in adolescent medicine and health.

PURPOSE: To select and propose a set of knowledge, attitudes, and skills essential for the care of adolescents; to encourage the development of adolescent health multidisciplinary networks; and to set up training programs in as many European countries as possible. METHODS: The curriculum was developed by 16 physicians from 11 European countries with various professional specializations. In line with modern guidelines in medical education, it is a modular, flexible instrument which covers the main teaching areas in the field, such as basic skills (i.e. setting, rights and confidentiality, gender and cultural issues) as well as specific themes (i.e. sexual and reproductive health, eating disorders, chronic conditions). It consists of 17 thematic modules, each containing detailed objectives, learning approaches, examples, and evaluation methods. RESULT: Two international one-week summer schools were used to assess the feasibility and appropriateness of the curriculum. The overall evaluation was good, with most of the items surpassing three on a four-point Likert scale. However, it pointed to several aspects (process and content) which will need to be refined in the future, such as an increase in interactive sessions (role playing), and a better mix of clinical and public health issues.

Redefining dropping out in online higher education: a case study from the UOC

In recent years, studies into the reasons for dropping out of higher education (including online education) have been undertaken with greater regularity, parallel to the rise in the relative weight of this type of education, compared with brick-and-mortar education. However, the work invested in characterising the students who drop out of education, compared with those who do not, appears not to have had the same relevance as that invested in the analysis of the causes. The definition of dropping out is very sensitive to the context. In this article, we reach a purely empirical definition of student dropping out, based on the probability of not continuing a specific academic programme following several consecutive semesters of "theoretical break". Dropping out should be properly defined before analysing its causes, as well as comparing the drop-out rates between the different online programmes, or between online and on-campus ones. Our results show that there are significant differences among programmes, depending on their theoretical extension, but not their domain of knowledge.

A classroom-based investigation of reciprocal teaching at the grade seven level

This study assessed the effectiveness of a reciprocal teaching program as a method of teaching reading comprehension, using narrative text material in a t.ypical grade seven classroom. In order to determine the effectiveness of the reciprocal teaching program, this method was compared to two other reading instruction approaches that, unlike rcciprocal teaching, did not include social interaction components. Two intact grade scven classes, and a grade seven teacher, participated in this study. Students were appropriately assigned to three treatment groups by reading achievement level as determined from a norm-referenced test. Training proceeded for a five week intervention period during regularly scheduled English periods. Throughout the program curriculum-based tests were administered. These tests were designed to assess comprehension in two distinct ways; namely, character analysis components as they relate to narrative text, and strategy use components as they contribute to student understanding of narrative and expository text. Pre, post, and maintenance tests were administered to measure overall training effects. Moreover, during intervention, training probes were administered in the last period of each week to evaluate treatment group performance. AU curriculum-based tests were coded and comparisons of pre, post, maintenance tests and training probes were presented in graph form. Results showed that the reciprocal group achieved some improvement in reading comprehension scores in the strategy use component of the tests. No improvements were observed for the character analysis components of the curriculum-based tests and the norm-referenced tests. At pre and post intervention, interviews requiring students to respond to questions that addressed metacomprehension awareness of study strategies were administered. The intelviews were coded and comparisons were made between the two intelVicws. No significant improvements were observed regarding student awareness of ten identified study strategies . This study indicated that reciprocal teaching is a viable approach that can be utilized to help students acquire more effective comprehension strategies. However, the maximum utility of the technique when administered to a population of grade seven students performing at average to above average levels of reading achievement has yet to be determined. In order to explore this issue, the refinement of training materials and curriculum-based measurements need to be explored. As well, this study revealed that reciprocal teaching placed heavier demands on the classroom teacher when compared to other reading instruction methods. This may suggest that innovative and intensive teacher training techniques are required before it is feasible to use this method in the classroom.

The effects of teaching a mathematics problem solving strategy on the problem solving ability of grade nine students

Forty grade 9 students were selected from a small rural board in southern Ontario. The students were in two classes and were treated as two groups. The treatment group received instruction in the Logical Numerical Problem Solving Strategy every day for 37 minutes over a 6 week period. The control group received instruction in problem solving without this strategy over the same time period. Then the control group received the treat~ent and the treatment group received the instruction without the strategy. Quite a large variance was found in the problem solving ability of students in grade 9. It was also found that the growth of the problem solving ability achievement of students could be measured using growth strands based upon the results of the pilot study. The analysis of the results of the study using t-tests and a MANOVA demonstrated that the teaching of the strategy did not significaritly (at p s 0.05) increase the problem solving achievement of the students. However, there was an encouraging trend seen in the data.

Le développement d’une séquence d’enseignement/apprentissage basée sur l’histoire de la numération pour des élèves du troisième cycle du primaire

Notre contexte pratique — nous enseignons à des élèves doués de cinquième année suivant le programme international — a grandement influencé la présente recherche. En effet, le Programme primaire international (Organisation du Baccalauréat International, 2007) propose un enseignement par thèmes transdisciplinaires, dont un s’intitulant Où nous nous situons dans l’espace et le temps. Aussi, nos élèves sont tenus de suivre le Programme de formation de l’école québécoise (MÉLS Ministère de l'Éducation du Loisir et du Sport, 2001) avec le développement, notamment, de la compétence Résoudre une situation-problème et l’introduction d’une nouveauté : les repères culturels. Après une revue de la littérature, l’histoire des mathématiques nous semble tout indiquée. Toutefois, il existe peu de ressources pédagogiques pour les enseignants du primaire. Nous proposons donc d’en créer, nous appuyant sur l’approche constructiviste, approche prônée par nos deux programmes d’études (OBI et MÉLS). Nous relevons donc les avantages à intégrer l’histoire des mathématiques pour les élèves (intérêt et motivation accrus, changement dans leur façon de percevoir les mathématiques et amélioration de leurs apprentissages et de leur compréhension des mathématiques). Nous soulignons également les difficultés à introduire une approche historique à l’enseignement des mathématiques et proposons diverses façons de le faire. Puis, les concepts mathématiques à l’étude, à savoir l’arithmétique, et la numération, sont définis et nous voyons leur importance dans le programme de mathématiques du primaire. Nous décrivons ensuite les six systèmes de numération retenus (sumérien, égyptien, babylonien, chinois, romain et maya) ainsi que notre système actuel : le système indo-arabe. Enfin, nous abordons les difficultés que certaines pratiques des enseignants ou des manuels scolaires posent aux élèves en numération. Nous situons ensuite notre étude au sein de la recherche en sciences de l’éducation en nous attardant à la recherche appliquée ou dite pédagogique et plus particulièrement aux apports des recherches menées par des praticiens (un rapprochement entre la recherche et la pratique, une amélioration de l’enseignement et/ou de l’apprentissage, une réflexion de l’intérieur sur la pratique enseignante et une meilleure connaissance du milieu). Aussi, nous exposons les risques de biais qu’il est possible de rencontrer dans une recherche pédagogique, et ce, pour mieux les éviter. Nous enchaînons avec une description de nos outils de collecte de données et rappelons les exigences de la rigueur scientifique. Ce n’est qu’ensuite que nous décrivons notre séquence d’enseignement/apprentissage en détaillant chacune des activités. Ces activités consistent notamment à découvrir comment différents systèmes de numération fonctionnent (à l’aide de feuilles de travail et de notations anciennes), puis comment ces mêmes peuples effectuaient leurs additions et leurs soustractions et finalement, comment ils effectuaient les multiplications et les divisions. Enfin, nous analysons nos données à partir de notre journal de bord quotidien bonifié par les enregistrements vidéo, les affiches des élèves, les réponses aux tests de compréhension et au questionnaire d’appréciation. Notre étude nous amène à conclure à la pertinence de cette séquence pour notre milieu : l’intérêt et la motivation suscités, la perception des mathématiques et les apprentissages réalisés. Nous revenons également sur le constructivisme et une dimension non prévue : le développement de la communication mathématique.

Les croyances des enseignants et leurs pratiques relativement à l’évaluation de l’oral : étude de cas de deux enseignants de français de 3e secondaire

Depuis quelques années, plusieurs didacticiens du français se penchent sur l’enseignement et l’évaluation de l’oral, mais peu d’informations sont encore disponibles concernant les pratiques effectives des enseignants à cet égard. Notre recherche vise à décrire les croyances de deux enseignants de français au secondaire et leurs pratiques au sujet de l’évaluation de l’oral, plus particulièrement de l’oral dans une situation d’interaction entre pairs. Une entrevue dirigée a permis d’avoir accès à leurs croyances et à leurs pratiques déclarées, alors que le think-aloud a été employé pour observer leur pratique d’évaluation, à l’étape du jugement, d’une situation d’interaction entre pairs. Nos résultats montrent que, du point de vue de leurs croyances, les enseignants ont tous deux des préoccupations concernant les tâches et les instruments d’évaluation, et que leurs pratiques d’évaluation déclarées sont assez semblables en ce qui a trait aux tâches retenues, à leur fréquence et à l’intention poursuivie. Du côté de leurs pratiques d’évaluation observées à l’étape du jugement, nous exposons de façon détaillée les gestes d’enseignants en situation authentique, en identifiant les principaux processus cognitifs et métacognitifs impliqués dans cette tâche complexe. Des divergences entre les deux enseignants ont été observées relativement à leurs croyances, pratiques déclarées et pratiques observées durant le jugement. Tout d’abord, les critères retenus pour l’évaluation (pratique déclarée) ne tiennent pas toujours compte de ce qu’ils croient important d’enseigner en classe (croyance). De plus, malgré une pratique déclarée positive concernant l’autoévaluation, ces enseignants n’y ont peu ou pas eu recours durant leur jugement. Enfin, les gestes de l’un, durant le jugement, tendaient vers la posture d’instructeur-contrôleur, alors que ceux de l’autre s’inscrivaient davantage dans la posture de conseiller-didacticien. De façon générale, nous constatons que les pratiques de ces enseignants sont plus influencées par les situations rencontrées en tant qu’élèves et les traditions d’enseignement de la discipline que par le programme en vigueur.

Documenter les façons de faire d'enseignants de la 6e année du primaire dans toutes les étapes de la démarche d'évaluation

Le changement de paradigme amené par l'approche par compétences dans le système éducatif québécois au début des années 2000 devait conduire les enseignants à adopter de nouvelles façons de faire prescrites par la Politique en évaluation des apprentissages (MEQ, 2003) qui s’inscrivent dans une évaluation au service de l’apprentissage. Brookhart (2004) pour sa part, considère que la recherche en ce qui concerne les apprentissages et l'évaluation au primaire sont limitées et Boutin (2007) se questionne sur le changement effectif des pratiques considérant les vives critiques suscitées quant à l'implantation de l'approche par compétences dans les écoles québécoises. Cette recherche vise à apporter un éclairage quant aux façons de faire d'enseignants de la 6e année du primaire à toutes les étapes de la démarche d'évaluation en lecture, écriture et mathématique en les situant dans des perspectives nouvelles ou traditionnelles de l'évaluation et en observant si la fréquence des énoncés reliés aux façons de faire diffère selon les caractéristiques personnelles des enseignants. Suivant une méthodologie de type simultanée imbriquée, 55 enseignants ont rempli un questionnaire et 14 d'entre eux ont participé à des entrevues semi-dirigées. L’analyse des données montre que tout au long de la démarche d'évaluation, les façons de faire des enseignants varient, et ce, dans les trois matières: ils utilisent des façons de faire qui sont situées tantôt dans un continuum allant des perspectives traditionnelles aux perspectives nouvelles de l'évaluation comme dans la planification, la collecte de données, l'interprétation et la communication et tantôt dans les nouvelles perspectives de l'évaluation comme dans l'étape du jugement, et ce, selon leurs caractéristiques sociodémographiques. Nous avons ainsi pu catégoriser les enseignants selon le modèle de Schwartz, Bransford et Sears (2005) en distinguant ceux qui sont efficients de ceux qui ne le sont pas, même s'ils innovent. Afin d’améliorer les pratiques des enseignants à chaque étape de la démarche d’évaluation, nous pensons qu'il serait intéressant de valider un tableau synthèse inspiré de Scallon (2004) et l'OCDE (2005) afin de créer une métagrille pour analyser la pertinence et la cohérence des façons de faire des enseignants en cours de cycle dans une optique d’évaluation intégrée à l’apprentissage.

Mathematics teaching life histories in the study of teachers' perceptions of change

The aim of this paper is to discuss teachers' perceptions of change in their thought and/or practice over time and their perceptions of what kind of experiences or challenges might have influenced those changes. Two mathematics teaching life histories of Brazilian teachers are examined, considering a context of curriculum development in the state of São Paulo, Brazil. Reflection on teachers' thought and practice and interest in their own development, including interest in their own learning of mathematics, seemed to be the most important internal aspects influencing change and development. Close support seemed to be the most important external aspect. The retrospective analysis put a good face on personal change and development. (C) 2000 Elsevier B.V. Ltd. All rights reserved.

Mathematical Communication, Conceptual Understanding, and Students' Attitudes Toward Mathematics

This action research study of my 8th grade classroom investigated the use of mathematical communication, through oral homework presentations and written journals entries, and its impact on conceptual understanding of mathematics. This change in expectation and its impact on students’ attitudes towards mathematics was also investigated. Challenging my students to communicate mathematics both orally and in writing deepened the students’ understanding of the mathematics. Levels of understanding deepened when a variety of instructional methods were presented and discussed where students could comprehend the ideas that best suited their learning styles. Increased understanding occurred through probing questions causing students to reflect on their learning and reevaluate their reasoning. This transpired when students were expected to write more than one draft to math journals. By making students aware of their understanding through communicating orally and in writing, students realized that true understanding did not come from mere homework completion, but from evaluating and assessing their own and other’s ideas and reasoning. I discovered that when students were challenged to communicate their reasoning both orally and in writing, students enjoyed math more and thought math was more fun. As a result of this research, I will continue to require students to communicate their thinking and reasoning both orally and in writing.

Using Math Vocabulary Building to Increase Problem Solving Abilities in a 5th Grade Classroom

In this action research study of my 5th grade mathematics class, I investigated how students’ understanding of math vocabulary impacts their understanding of the curriculum. I discovered math vocabulary plays an important role in a student’s ability to understand daily lessons, complete homework, discuss ideas in groups, take tests and be successful on achievement tests. A student’s ability to understand the words around him (or her) in math class seem very related to his or her ability to solve word problems. Word problems are what our national assessments are all about. I also discovered that direct instruction and support of math vocabulary increased test scores and confidence in students as test takers. As a result of this research, I plan to continue to find ways to emphasize the vocabulary used in our current math curriculum. This process will start at the beginning of the year. I will continue to look for strategies that promote math vocabulary retention in my students. And finally, I will share my findings with my colleagues, so my research can be used as part of our School Improvement Goals.