Instructional Tasks and the Development of Student Capacity to Think and Reason: An Analysis of the Relationship between Teaching and Learning in a Reform Mathematics Project

Abstract

In the present study the relationship between teaching and learning was examined using a conceptual framework that links dimensions of instructional tasks with gains in student learning outcomes. The greatest student gains on a performance assessment consisting of tasks that require high levels of mathematical thinking and reasoning were related to the use of instructional tasks that engaged students in the “doing of mathematics” or the use of procedures with connections to meaning. In addition, student performance gains were greater for those sites whose tasks were both set up and implemented to encourage the use of multiple solution strategies, multiple representations, and explanations. Whereas, student performance gains were relatively small for those sites whose tasks tended to be both set up and implemented in a procedural manner and that required a single solution strategy, single representations, and little or no mathematical communication.     

Was grenzt das Kompetenzkonzept von etablierten Kategorien wie Fähigkeit,Fertigkeit oder Intelligenz ab?

Following a specification of the concept “competence” as it is applied in the context of the priority program we place recent efforts on competence assessment within established distinctions. Besides Cronbach’s differentiation of typical behavior and maximal effort and Cattell’s demarcation of test and questionnaire data additional discriminations against broader terms such as “ability”, “skill”, “talent” but also “intelligence” are desirable and necessary. The utility of the concept of competence relative to established terms needs to be demonstrated unequivocally in the future.     

Assessment of Middle Ear Anatomy Teaching Methodologies Using Microscopy versus Endoscopy: A Randomized Comparative Study

Teaching methodologies for the anatomy of the middle ear have not been investigated greatly due to the middle ear’s highly complex structure and hidden location inside of the temporal bone. The aim of this randomized study was to quantitatively compare the suitability of using microscope- and endoscope-based methods for teaching the anatomy of the middle ear. We hypothesize that the endoscopic approach will be more efficient compared to the microscopic approach. To answer the study questions, 33 sixth-year medical students, residents and otorhinolaryngology specialists were randomized either into the endoscopy or the microscopy group. Their anatomical knowledge was assessed using a structured anatomical knowledge test before and after each session. Each participant received tutoring on a human cadaveric specimen using one of the two methods. They then performed a hands-on dissection. After 2–4 weeks, the same educational curriculum was repeated using the other technique. The mean gains in anatomical knowledge for the specialists, residents, and medical students were +19.0%, +34.6%, and +23.4%, respectively. Multivariate analyses identified a statistically significant increase in performance for the endoscopic method compared to the microscopic technique (P < 0.001). For the recall of anatomical structures during dissection, the endoscopic method outperformed the microscopic technique independently of the randomization or the prior training level of the attendees (P < 0.001). In conclusion, the endoscopic approach to middle ear anatomy education is associated to an improved gain in knowledge as compared to the microscopic approach. The participants subjectively preferred the endoscope for educational purposes.     

Information transformation Africa: Indigenous knowledge – Securing space in the knowledge society

This paper reflects on factors that need to be considered for establishment of an equitable knowledge society that will secure the Indigenous Knowledge space. While information communication technology facilitates the capture of a predominantly oral-based indigenous knowledge, its contribution to exploitative approaches to information access, also encourages the development of such knowledge as a commodity for competitive advantage, a factor that requires serious consideration. The basis for this consideration should be the World Summit on the information Society (WSIS) Principles which provide the promise of equitable access to information as a base for creation of the knowledge society through ethically grounded information use and sharing.     

Patterns in children's ability to recall explicit,implicit and metaphorical information

The purpose of this study was to examine the effects of grade level and recall task type on children's memory for explicit, implicit and metaphorical information following reading. Forty second and 40 fifth grade subjects balanced as to gender read four prose passages and were randomly assigned to cued and free recall conditions. A MANOVA produced significant main effects for grade level and task type on each of three dependent variables; EXPLICIT, IMPLICIT and METAPHOR recall measures. As predicted, fifth graders fared better than second graders and the cued condition exceeded free recall. Of greater significance was the finding that second graders were able to engage in metaphorical reasoning when the task was appropriately structured. The results suggest that providing externally generated, structured probes can greatly enhance children's reading recall at both grade levels and can enable children to demonstrate metaphorical comprehension prior to the age at which it spontaneously appears. In addition, significantly different patterns of recalled information were found within the two task conditions, patterns that remained stable across age groups.     

Investigating Students’ Learning Through Co-designing with Technology

Involving students in the co-design of educational curricula and practices can benefit both students and teachers. Students who participate in co-design may show better learning or increased agency or engagement. In the present study, we investigated what kind of science knowledge or practices can be learned by student co-designers while engaging in co-design practices and how that learning happens with six high school students. We created a model to guide the analysis of students’ learning with technology in co-designing processes. The results revealed that students learned engineering design process even if no explicit instruction on engineering learning was given. Also, our analysis suggested that co-designing with technology enabled learning of the engineering design process and potentially furthered learning of science because it promoted knowledge integration. The results have implications for understanding and enhancing engineering design and science learning through co-designing with technology.

     

Implicit theories of creativity: a comparison of student‐teachers in Hong Kong and Singapore

This study attempts to uncover the beliefs regarding various aspects of creativity among trainee‐teachers in Hong Kong and Singapore. Trainee‐teachers from Hong Kong (N = 188) and Singapore (N = 127) completed a questionnaire on beliefs about creativity. The 30‐item questionnaire covering 15 aspects of beliefs regarding creativity was presented to the respondents as a set of six‐point Likert scales. Through factor analysis, creativity was found to have five dimensions: (1) physiology, (2) generality, (3) culture, (4) individuality and (5) youth. Hong Kong respondents were found to hold more rigid views of creativity than their Singaporean counterparts. In particular, Hong Kong respondents believed more strongly that creativity is dependent on birth order, effort, health, logical thinking and youth and that there is a critical period beyond which creativity may not develop.