Reflective analysis as a tool for task redesign: The case of prospective elementary teachers solving and posing fraction comparison problems

Mathematical task design has been a central focus of the mathematics education research community over the last few years. In this study, six university teacher educators from six different US institutions formed a community of practice to explore key aspects of task design (planning, implementing, reflecting, and modifying) in the context of comparing fractions using reasoning and sense-making. By presenting results of their implementation of two tasks with 63 prospective elementary teachers across three institutions and their reflective analysis of the implementation, the authors highlight the importance of collecting and analyzing data and reflecting on this analysis to inform the redesign of tasks. The authors also found that considering different types of tasks (problem solving vs. problem posing) helps illuminate different aspects of prospective elementary teachers' understanding, which can inform task redesign. Finally the authors contribute to the knowledge base on reasoning strategies for comparing fractions and prospective elementary teachers’ knowledge of these strategies.     

School–University Action Research: Impacts on Teaching Practices and Pupil Learning

The aim of this article is to describe a design and implementation of a school–university action research project about teaching and learning biology and mathematics in primary school. Nine teachers in grades 1 to 6, in collaboration with two researchers, were using content representation (CoRe) in learning study (LS)-inspired cycle as pedagogical tools when planning, implementing, and reflecting on lessons and pupil learning. By using pre- and post-tests, the teachers acquired knowledge about pupil subject-specific knowledge and learning. Some examples are given on how the tools in the project influenced the teaching practices and pupil learning. This research design brought together university and school practitioners to work collaboratively in a professional learning community, which developed teaching and learning in biology and mathematics.     

Teacher expectation effects on need-supportive teaching,student motivation,and engagement: a self-determination perspective

ABSTRACT

Previous research has shown that teachers differentiate their behaviour based on their expectations of students. Self-determination theory (SDT) makes explicit how teacher behaviour relates to students’ motivation and engagement, namely, via need-supportive teaching. In the present study, we combined both research traditions and examined associations of teacher expectations with need-supportive teaching and thereby students’ motivation and engagement. Two-hundred-and-seventy-six secondary school students and their teachers (N?=?11) completed questionnaires. The results indicated that teacher expectations were moderately but positively associated with students’ intrinsic motivation and engagement, and negatively with amotivation. These relationships were fully mediated, although with small effect sizes, by need-supportive teaching. These findings highlight the value of combining research on teacher expectations and SDT, to gain further understanding of how teacher expectations may cause teachers to provide more need support to some students than to others, thereby affecting students’ motivation and engagement.     

Child Readers and the Worlds of the Picture Book

Children as readers of picture books and the ways they respond to, and make meaning from, such texts are the focus of this article, which reports on a small-scale study undertaken in Norway and Wales, UK. The theoretical framing of the research draws on concepts of the multimodal ensemble in picture books and of the reading event as part of a social practice. The research design was developed from the team’s analysis of two texts, Pappa by Svein Nyhus (1998) and What does Daddy Do? by Rachel Bright (2009). Twenty-four children, who were 7 and 8 years old, took part in the study. This was built around two reading events for each book, staged as an immediate response and as a guided response. The data subsequently collected were analysed according to three overarching organisational principles, as book world, real world and play world. For both Daddy and Pappa, the first reading event showed the children’s responses were mainly directed towards exploring the book world. On the second reading event, references to the real world predominated for Daddy, while for Pappa the book world was again dominant. Across both reading events and for both books, the playworld revealed those occasions when the children expanded the meaning of the story, demonstrating an inventive ability to play with the text. Overall, the children’s responses moved fluidly across the three worlds, showing them to be energetically making connections between the reading, their experience of books and their own lives.     

Creating Learning Prisms with an Interdisciplinary Case Study Workshop

With increasing specialization, most academic disciplines have become highly compartmentalized. Numerous organizations in higher education strongly encourage interdisciplinary collaboration at the faculty and student level. The purposes of this article are (a) to provide a conceptual framework for explaining how and why an interdisciplinary case study method is a catalyst for the development of students and faculty; (b) to document the conception, planning, organizing, and results of an interdisciplinary case study workshop; and (c) to provide recommendations to encouragechange others who might want to apply this model to their own interdisciplinary efforts.All authors are at Towson University Sharon B. Buchbinder, R.N., PhD, is associate professor of health science. She received her PhD from the University of Illinois at Chicago. Special interests are physician job satisfaction and turnover, patient compliance, learning styles and teamwork among undergraduates. Patricia M. Alt, PhD, University of North Carolina at Chapel Hill is professor of health science. Special interests are state level policies on aging and human subjects protection, the impact of baby boomer aging on public services, responsible conduct of research training and typologies of institutional review boards. Karen Eskow, PhD, University of Maryland is associate professor of occupational therapy and occupational sciences and director of the Family Studies Program. Special interests are family professional relationships, family quality of life, and families with adolescents. William Forbes, PhD, University of Maryland is associate professor of Kinesiology and director of the Wellness Center. Special interests are developing quality programming to assist older adults in improving their fitness and wellness, racquetball, squash, downhill skiing, and billiards. Eva Hester, PhD, University of Maryland is associate professor of communication science and disorders and special assistant to the dean, College of Health Professions. Special interests are speech language-disorders in children and adults. Miriam Struck, O.T., doctoral student, University of Maryland is currently occupational therapist, Physical Disabilities Program, with the Montgomery County Public Schools. Special interests are disability, transitioning from school to work, and instructional methods. Dianne Taylor, R.N., Ed.D., University of Maryland is associate professor, nursing. Special interests are psychiatric nursing and critical incident stress management.     

Challenges and barriers to Austrian early childhood educators' participation in online professional development programmes

Online professional development programmes have a long tradition in adult education. However, in early childhood education, such programmes are only just beginning to be developed. Before online professional development courses can be made inclusive, accessible and widely available to early childhood educators, they must meet a few basic requirements. The present study provides insights into essential aspects that need to be considered when setting up online professional development programmes, a field which is still in its infancy in Austria. The results of a representative survey (n = 317) demonstrated that early childhood educators' digital competencies are highly variable and cannot be taken for granted. The survey results also stress the need to provide educators with functional digital devices appropriate to their work environment. Early childhood educators' interest in online professional development programmes is very high, in recognition of the advantages afforded by flexible participation options independent of users' time constraints or location. The development of attractive, compelling and accessible online professional development courses can contribute to current professionalisation efforts in the field of early childhood education.

Practitioner notes

What is already known about this topic

• Online professional development has already a very long tradition in the field of adult vocational training but not in Early Childhood Education.
• The possibility of attending online professional development programmes independent of a participant's time constraints or location is viewed as a particularly beneficial advantage.
• Online professional development programmes positively affect the professionalisation of educators. For this reason, they must increasingly be integrated into the field of early childhood education.

What this paper adds

• In the field of early childhood education in German-speaking regions, online professional development training courses are only beginning to be developed.
• This paper examines the challenges and barriers for early childhood educators associated with implementing online professional development programmes for early childhood educators.
• The survey was conducted during the COVID-19 pandemic and includes current data on the ongoing digitalisation boom.

Implications for practise and/or policy

• Online professional development courses should not be understood as competition for conventional face-to-face programmes. Instead, they act as a useful supplement.
• Media competencies are a fundamental prerequisite for everyday professional life—early childhood educators need functional media devices, stable internet connections, and support structures in IT and computer literacy.
• Early childhood educators require effective instruction in using online professional development programmes to expand online professional development programmes in their field. They must also address compelling topics in early childhood education relevant to educators' practise.

     

The disadvantaged student at a liberal arts college

In the fall of 1969, a program to expand educational opportunities (EEO) for economically disadvantaged students was initiated at Macalester College. During the first three years of the program, the percentage of non-white students at the College rose from 3% to approximately 15%.Average grades for the EEO students were approximately one standard deviation below those of a random non-EEO sample, similar to the differences in high school grades between the two groups. However, the EEO students persisted at Macalester College at a slightly higher rate than non-EEO students. The EEO students also were more likely than non-EEO students to major in the behavioral/social sciences and less likely to major in the fine arts, humanities, and physical sciences.     

Mathematical Reasoning Requirements in Swedish National Physics Tests

This paper focuses on one aspect of mathematical competence, namely mathematical reasoning, and how this competency influences students’ knowing of physics. This influence was studied by analysing the mathematical reasoning requirements upper secondary students meet when solving tasks in national physics tests. National tests are constructed to mirror the goals stated in the curricula, and these goals are similar across national borders. The framework used for characterising the mathematical reasoning required to solve the tasks in the national physics tests distinguishes between imitative and creative mathematical reasoning. The analysis process consisted of structured comparisons between representative student solutions and the students’ educational history. Of the 209 analysed tasks, 3/4 required mathematical reasoning in order to be solved. Creative mathematical reasoning, which, in particular, involves reasoning based on intrinsic properties, was required for 1/3 of the tasks. The results in this paper give strong evidence that creative mathematical reasoning is required to achieve higher grades on the tests. It is also confirmed that mathematical reasoning is an important and integral part of the physics curricula; and, it is suggested that the ability to use creative mathematical reasoning is necessary to fully master the curricula.     

Ethical challenges of in-the-field training: a surgical perspective

The teaching of professions in which technical and manual acts combined with excellent judgment are used to enhance the safety of people, poses challenges to educators. Book learning combined with mock or simulated situations goes a long way, but ultimately “in-the-field” instruction and learning is necessary to qualify trainees for many occupations such as doctors, pilots, firefighters, police officers, and many others. The dilemma is how to teach potentially life-altering techniques in a real-life setting without compromising the safety of the recipient of the service being taught. Using the exemplary model of surgical teaching in the technology-heavy and high-tension world of neurosurgery, the authors attempt to explore this ethical and practical dilemma.     

The epistemological role of language use in learning: A phenomenographic intentional-expressive approach

In research on learning, one of the fundamental questions concerns issues of language and thought. A number of empirical studies have revealed the interplay between understanding of subject matter and meanings of language expressions to be more dynamic and ambiguous than is commonly acknowledged. The aim of this article is to outline an alternative intentional-expressive approach to the interplay between use of language and understanding of subject matter as a contribution to the theoretical development in research on learning. The approach is based on a conception of language that focuses on the function of learners’ language use in relation to subject matter in developing and expressing understanding. The learner is seen as an agent, and the focus is on the use of language from the learner's perspective. Four aspects of the relation between learners and subject matter are described and discussed. Conclusions concern the value of this approach as a complement and alternative to the dominant communicative and cognitive approaches to the role of language in learning.