Can teachers and mathematicians communicate productively? The case of division with remainder

Is it possible that a meeting of mathematicians and primary school teachers will be productive? This question became intriguing when one professor of mathematics initiated a professional development course for practicing primary school teachers, which he taught alongside a group of mathematics Ph.D. students. This report scrutinizes the uncommon meeting of these two communities, who have very different perspectives on mathematics and its teaching. The instructors had no experience in primary school teaching, and their professed goal was to deepen the teachers’ understanding of the mathematics they teach, while teachers were expecting the course to be pedagogically relevant for their teaching. Surprisingly, despite this mismatch in expectations, the course was considered a success by teachers and instructors alike. In our study, we analyzed a lesson on division with remainder for teachers of grades 3–6, taught by the professor. The framework used for the data analysis was mathematical discourse for teaching, a discursive adaptation of the well-known mathematical knowledge for teaching framework. Our analysis focuses on the nature of the interactions between the parties and the learning opportunities they afforded. We show how different concerns, which might have hindered communication, in fact fueled discussions, leading to understandings of the topic and its teaching that were new to all the parties involved. The findings point to a feasible model for professional development where mathematicians may contribute to the education of practicing teachers, while they are gaining new insights themselves.     

The North Wind and the Sun

The north wind and the sun are good friends.But one day they quarrelabout something. “I am stronger than you.”the cold north wind says.“Indeed you arenot.I’m stronger than you,”answers the soft,warm sun. Just then they see a man walking along the road. “I can get that man’s hat off his head,”the wind says.     

Bottling fog? The quest for instructional management

Elsewhere, the authors have unpacked instructional leadership and have documented that such leadership is associated with more effective schools. Indeed, there has been for a considerable time nearly universal acceptance that learning-centered leadership should provide the central platform on which leadership is enacted. In this paper, a less sanguine narrative is provided on instructional management. Specifically, it documents that for all the evidence and recognition of importance, learning-focused leadership remains a small domain of action for leaders at the school and district levels. It then focuses on both the culture of the profession of school administration and the nature of schooling to explain why in the face of considerable energy and effort only marginal improvements have been realized in deepening instructional leadership. It closes with an analysis of possible paths going forward.     

Coteaching in Counselor Education: Preparing Doctoral Students for Future Teaching

This phenomenological study explored 10 counselor education doctoral students' coteaching experiences with faculty members. Three coteaching structures identified from the data were relational, operational, and developmental. A definition of coteaching supported by the findings is presented. Implications for counselor education programs, limitations, and directions for future research are discussed.     

Dialogue's Impact on the Quality of Relationships

This paper presents the findings of an action research that examines teachers' perception of the quality of dialogue and how it impacts on the quality of relationships in a primary school in Singapore. The paper explores how school leaders can facilitate dialogue and also discusses the issues and factors that affect teachers' perception of dialogue. Analysis of the data obtained through a questionnaire and face-to-face interviews shows that the more favourable the perception of dialogue amongst teachers, the more favourable is their perception of the quality of relationships in the school. The implication for school leaders is that by developing a higher quality of dialogue, a better school climate is fostered. This revised version was published online in August 2006 with corrections to the Cover Date.     

Who Talks to Whom in Malawi's Agricultural Research Information Network?

Purpose: The sector-wide approach currently dominates as the strategy for developing the agricultural sector of many African countries. Although recognised that collaborative agricultural research is vital in ensuring success of sector-wide agricultural development strategies; there have been few efforts to understand the dynamics of national agricultural research/development networks in Africa. This study fills this gap by analysing the dynamics of networking and interactions between institutions in the National Agricultural Research System in Malawi. Design/Methodology/Approach: The study sampled actors in the National Agricultural Research System in Malawi, which included the main public agricultural research department, academic institutions, semi-autonomous research institutions, private companies and international agricultural research institutions. Data was analysed using Social Network Analysis. Findings: Results demonstrate that public agricultural research departments play a central coordinating role in facilitating information sharing; with other actors remaining on the periphery. However, it also shows the important role other actors play to relay information to a wider network of stakeholders. These secondary information pathways can play a very crucial role in ensuring successful implementation of the national agricultural research agenda. Practical implication: Policy-makers are called upon to integrate other research actors into the mainstream national agricultural research information network. This is vital as other research actors are, at the global level, increasingly taking up a greater role in financing and disseminating research and research results. Originality/Value: The study contributes greatly towards knowledge needed for continuing the transformation of African agricultural research; and aligning the African agricultural research vision and practice with the emerging global agricultural research paradigm.     

Investigating Student Perceptions of a Dissection-Based Undergraduate Gross Anatomy Course Using Q Methodology

The demand for upper-level undergraduate dissection-based anatomy courses is growing, as professional programs require more advanced anatomy training prior to matriculation. To address this need, Indiana University School of Medicine (IUSM) partnered with Indiana University-Purdue University Indianapolis—a large, urban, life science-focused campus nearby to IUSM—to offer an undergraduate, dissection-based course in regional gross anatomy. Because this is a new course, a deeper post-course evaluation of student perceptions was conducted using Q methodology. In this study, Q methodology was used to evaluate student views of the overall course structure, pre-laboratory materials and activities, assessments, and quality of instruction. Of the 15 students in the spring semester 2018 cohort, 80% (n = 12) participated in the evaluation, and 10 of those students followed up with written explanations for their rationale in selecting the four statements with which they most strongly agreed and disagreed. The Q methodology sorted the students into one of three statistically significant groups: Motivated Dissectors (n = 6), Traditional Students (n = 3), and Inspired Learners (n = 3). Motivated Dissectors and Inspired Learners felt strongly that the course did not encourage self-directed learning and that the pre-laboratory materials were not adequate to prepare them for quizzes. Traditional Students, however, disagreed, having a favorable opinion of the pre-laboratory materials, even though this group felt most strongly that the amount of material covered in the course was overwhelming. This study demonstrates the utility of Q methodology to evaluate courses to elucidate student perspectives and inform future course modifications.     

Altered movement patterns but not muscle recruitment in moderately trained triathletes during running after cycling

Previous studies have shown that cycling can directly influence neuromuscular control during subsequent running in some highly trained triathletes, despite these triathletes' years of practice of the cycle-run transition. The aim of this study was to determine whether cycling has the same direct influence on neuromuscular control during running in moderately trained triathletes. Fifteen moderately trained triathletes participated. Kinematics of the pelvis and lower limbs and recruitment of 11 leg and thigh muscles were compared between a control run (no prior exercise) and a 30 min run that was preceded by a 15 min cycle (transition run). Muscle recruitment was different between control and transition runs in only one of 15 triathletes (<7%). Changes in joint position (mean difference of 3°) were evident in five triathletes, which persisted beyond 5 min of running in one triathlete. Our findings suggest that some moderately trained triathletes have difficulty reproducing their pre-cycling movement patterns for running initially after cycling, but cycling appears to have little influence on running muscle recruitment in moderately trained triathletes.     

A journal is a club: a new economic model for scholarly publishing

A new economic model for the analysis of scholarly publishing – journal publishing in particular – is proposed that draws on club theory. The standard approach builds on market failure in the private production (by research scholars) of a public good (new scholarly knowledge). In this model, publishing is communication, as the dissemination of information. But a club model views publishing differently: namely as group formation, where members form groups in order to confer externalities on each other, subject to congestion. A journal is a self-constituted group, endeavouring to create new knowledge. In this sense, a journal is a club. The knowledge club model of a journal seeks to balance the positive externalities of a shared resource (readers, citations, referees) against the negative externalities of crowding (decreased prospect of publishing in that journal). A new economic model of a journal as a knowledge club is elaborated. We suggest some consequences for the management of journals and financial models that might be developed to support them.