CHARACTERIZING THEMATIZED DERIVATIVE SCHEMA BY THE UNDERLYING EMERGENT STRUCTURES

This paper reports on different underlying structures of the derivative schema of three undergraduate students that were considered to be at the trans level of development of the derivative schema (action–process–object–schema). The derivative schema is characterized in terms of the students’ ability to explicitly transfer the relationship between a function and its first derivative to the derivative function and the second derivative. This conscious shift of properties of derivatives is differently manifested by the students in the trans level of development of the derivative schema and can be considered evidence of the different characteristics of the thematization of derivative schema. From here we suggest that there are different underlying structures in the constructed schema due to the consciousness in which students use the relations between a function and its derivative.     

School in the (im)possibility of future: Utopia and its territorialities

Abstract

Utopia makes itself heard as Raphael voices a critique of who we are and configures that no-where which, paradoxically, we want to reach. We look to Deleuze and Guattari when we say that that critique can be envisioned as resistance to the present. In the passage from no-where to now-here, we revisit the territories of utopia as critique of our times, as a way to approach the question of who we are and who we want to be. In our view, education still rests on the image of a future that unfolds in the encounter with others. Education and its need/potential to enable tomorrows, to invent promises that look to places of desire, spaces that take shape as heterotopias. The notion of utopia is strained at root because defined as a no-where. At school, it is bound to the potential to create new possibilities and alternatives for life in the here and now. In this article, we will grapple with the work we do in university classrooms and in educational institutions in the slums on the outskirts of the city of Buenos Aires as a gateway from which to envision and to problematize the world. From there, we will approach the voices where other possibilities are conquered and other spaces created on the basis of the unpredictable, voices rooted in education and the need for it that produce and produce themselves in the tensions of that (im)possibility. In sum, wording the world as creation of worlds.     

The Dialectic Relationship between Research and Practice in Mathematics Teacher Education

This paper addresses issues linking research in student teacher learning with reflection on practice in mathematics teacher education. From a situated perspective on learning and practice, we explore our own practice as teacher educators while researching student teacher learning in our classrooms. We describe a study on student teacher learning, considering student teacher learning as a “process of becoming”, and how the results of this research have affected our development as mathematics teacher educators and members of a community of inquiry. Our work shows how in the mathematics teacher education context the relationship between theory and practice becomes an element of both teacher educator and researcher development.     

Media Vans For In-Service Education

A media van is a fully equipped, mobile media facility. The Pennsylvania Deportment of Education uses media vans for on location training of large state with many rural areas, the van makes in-service media training possible in areas where it would be otherwise unavailable. Programmes are offered for teachers, aides, media specialists, librarians, and administrators in school districts throughout the state of Pennsylvania.     

Assessment of subjective resilience: cross-cultural validity and educational implications / Evaluación de la resiliencia subjetiva: validez transcultural e implicaciones educativas del ‘Cuestionario de Resiliencia Subjetiva’ (SRQ)

Abstract

The objective of this study was to obtain evidence about the cross-cultural validity of the ‘Subjective Resilience Questionnaire’ (SRQ), comparing French and Spanish Secondary and High School students’ results. A total of 750 French students formed the sample. To validate the SRQ, confirmatory factor analyses, reliability and correlation and regression analyses were made. The validation process included the analysis of the generalizability of factor structure, and of relationships of resilience scores with different kinds of protective and vulnerability factors — success expectancies and learning-oriented classroom motivational climate (CMC). French results were similar to Spanish results, underlying the importance of considering variations in resilience as a function of the kinds of adversity experienced. Nevertheless, some differences between French and Spanish students were found in the degree they recognize to act in a resilient way in some of the situations covered by SRQ, differences whose theoretical and practical implications for education are discussed.     

String formatting considered harmful for novice programmers

In Java, System.out.printf and String.format consume a specialised kind of string commonly known as a format string. In our study of first-year students at the Ateneo de Manila University, we discovered that format strings present a substantial challenge for novice programmers. Focusing on their first laboratory we found that 8% of all the compilation errors and 100% of the exceptional, run-time behaviour they encountered were due to the improper construction of format strings. Format strings are a language unto themselves embedded within Java, and they are difficult for novice programmers to master when learning to program. In this article, we present exemplars of students' problematic interactions with the Java compiler and run-time environment when dealing with format strings, discuss these interactions, and recommend possible instructional interventions based on our observations.     

Students’ Conceptions of Ionisation Energy: A Cross‐cultural Study

Previous studies have indicated that A‐level students in the UK and Singapore have difficulty learning the topic of ionisation energy. A two‐tier multiple‐choice instrument developed in Singapore in an earlier study, the Ionisation Energy Diagnostic Instrument, was administered to A‐level students in the UK, advanced placement high school students in the USA, and first‐year university students in China, New Zealand, and Spain to determine whether the students from different countries and educational systems had similar conceptions and difficulties as the students in Singapore with the concepts assessed in the instrument. The results showed that, in general, the students in all six samples had similar alternative conceptions, which were grouped under the categories of octet rule framework, stable fully‐filled and half‐filled subshell conceptions, and conservation of force thinking. The students also resorted to relation‐based thinking when answering items involving the trend of ionisation energies across Period 3. Implications for teaching and further research are discussed.     

Torrance Test of Creative Thinking: The question of its construct validity

Some cognitive dimensions are internationally considered by psychologists to describe and to assess creativity. For example, (Guilford, P. (1976). Creatividad y Educación. Buenos Aires. Ed. Paidos) and (Torrance, E. P. (1977). Discovery and nurturance of giftedness in the culturally different. Reston, VA: Council on Exceptional Children) suggested fluency, flexibility, originality and elaboration are the main cognitive processes used to define and assess creativity. However, data from several empirical studies did not confirm a factor structure in accordance with such cognitive functions, despite of the wide use of TTCT (Torrance Tests of Creative Thinking) in different countries. In this paper, we present new data collected in Spain and Portugal with TTCT. According to our data, those cognitive functions supposedly present on a subject's performance are not so strong as to explain the variance in scores. Elaboration factors assume some variance explanation, but the main factors are identified with the products in each subtest, suggesting the importance of format, content and demand on TTCT specific tasks. Consequently, we suggest some reflections to amplify the debate concerning the definition of creativity and its evaluation in psychology.