Understanding student pathways in context-rich problems

This paper describes the ways that students’ problem-solving behaviors evolve when solving multi-faceted, context-rich problems within a web-based learning environment. During the semester, groups of two or three students worked on five physics problems that required drawing on more than one concept and, hence, could not be readily solved with simple “plug-and-chug” strategies. The problems were presented to students in a data-rich, online problem-based learning environment that tracked which information items were selected by students as they attempted to solve the problem. The students also completed a variety of tasks, like entering an initial qualitative analysis of the problem into an online form. Students were not constrained to complete these tasks in any specific order. As they gained more experience in solving context-rich physics problems, student groups showed some progression towards expert-like behavior as they completed qualitative analysis earlier and were more selective in their perusal of informational resources. However, there was room for more improvement as approximately half of the groups still completed the qualitative analysis task towards the end of the problem-solving process rather than at the beginning of the task when it would have been most useful to their work.     

Students’ communicative behavior adaptability in CSCL environments

By the proliferation of online courses, the social dimension of computer supported collaborative learning (CSCL) is becoming more important than before. Research shows that communicative behavior adaptation to the computer medium is a critical issue in CSCL social relationship development. Two dominant theories in the CSCL field, social information processing theory and adaptive structuration theory, argue that individuals do not simply receive the technology passively but they adapt their behavior to increase benefits from the technology. This paper develops an instrument in order to operationalize the notion of individual’s communicative behavior adaptability in CSCL. Through an exploratory factor analysis performed on a small sample of post graduate students of an online degree in an Australian university, three factors have been unveiled: (1) individual perception of self-representation, (2) individual perception of compatibility, and (3) individual perception of the use of computer technology. Identification of these factors is expected to facilitate understanding of individuals’ social behaviors in CSCL environment, which in turn will guide the design of CSCL systems. In addition, the paper examines the relationships between the extracted factors and four environmental factors: learner’s characteristics, course characteristics, instructor characteristics, and technology characteristics. The results show that none of these characteristics strongly affect perception of self-representation or perception of the use of computer technology. On the other hand, a strong relationship was found between perception of compatibility and learner’s and course characteristics. The reliability as well as validity of the study is examined and findings are discussed. These findings will provide further insights into the design process of CSCL systems.     

Connecting with the horizon: developing teachers’ appreciation of mathematical structure

A professional learning program for teachers of junior secondary mathematics regarding the content and pedagogy of senior secondary mathematics is the context for this study of teachers’ mathematical and pedagogical knowledge. The analysis of teachers’ reflections on their learning explored teachers’ understanding of mathematical connections and their appreciation of mathematical structure. The findings indicate that a professional learning program about senior secondary mathematics can enable practicing teachers to deepen and broaden their knowledge for teaching junior secondary mathematics and develop their practice to support their students’ present and future learning of mathematics. Further research is needed about professional learning approaches and tasks that may enable teachers to imbed and develop awareness of structure in their practice.     

Classroom environments that foster a disposition for critical thinking

In this article, we examine the disposition for critical thinking (CT) from three perspectives and analyse the underlying constructs of the disposition for CT, such as one’s ability, sensitivity and inclination to engage in critical, mindful thought. Environmental factors that enhance or inhibit the development of a generalisable disposition for critical thought are discussed. Finally, we present a set of empirically-verified classroom practices that can help to foster a disposition for CT.     

Development of student knowledge in competence-based pre-vocational secondary education

The purpose of this study was to gain insight into the development of student knowledge in pre-vocational secondary education schools which differ in the manner and extent to which they have implemented characteristics of competence-based education. The implementation of these characteristics was examined using a teacher questionnaire and the development of knowledge was investigated using concept mapping. The results showed that students developed slightly more knowledge in learning situations with fewer characteristics of competence-based education. The organisational characteristics of the learning situations were further found to be distinctive for the development of knowledge.     

Early childhood teacher education: the case of geometry

For early childhood, the domain of geometry and spatial reasoning is an important area of mathematics learning. Unfortunately, geometry and spatial thinking are often ignored or minimized in early education. We build a case for the importance of geometry and spatial thinking, review research on professional development for these teachers, and describe a series of research and development projects based on this body of knowledge. We conclude that research-based models hold the potential to make a significant difference in the learning of young children by catalyzing substantive change in the knowledge and beliefs of their teachers.     

Perceptions of the learning environment and associations with cognitive achievement among gifted biology students

This study assessed the perceptions of 146 gifted and 115 non-gifted high school biology students and investigated associations between student perceptions and cognitive achievement. The What Is Happening In this Class? (WIHIC) was used to assess perceptions of actual and preferred learning environments. Data indicated that all students preferred a more favourable environment than the one that they were currently experiencing, but gifted students perceived their actual environment more positively than non-gifted students. Statistically significant associations between the actual learning environment and achievement on a standardised biology test were found for the majority of scales. Teacher Support, Investigation and Equity were all statistically significant independent predictors of student achievement, while Student Cohesiveness had a negative association with achievement. Interviews revealed that students interpreted some WIHIC items differently from how the developers had intended.     

Students’ perceptions of classroom instructional environments in the context of ‘Universal Design for Learning’

Using a sample of 867 students in Grades 5–12, the present study investigated whether students’ perceptions toward the instructional environment in classrooms that employed Universal Design for Learning differed by school grade level and teacher gender. High-school students in the study showed higher perception scores than upper-elementary or middle-school students in the personalisation and participation aspect of the classroom environment. The results for teacher gender indicated that students in the study perceived a more personalised classroom environment with female teachers than with male teachers. Policy implications and methodological considerations are provided for future study.     

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