The Effects of a Combined Output and Input-Oriented Approach in Teaching Reported Speech

The participants of the study are 74 first year students of the English philology who were divided into four groups: 3 treatment groups and a control one. The study results do not mirror those reported in the vast majority of relevant literature and points that although input manipulation appears to have more beneficial effect on the development of the interlanguage than the analysis of output, a combination of the two approaches turns out to be the most beneficial and economical

On the average number of elements in a finite field with order or index in a prescribed residue class

For any prime p we consider the density of elements in the multiplicative group of the finite field F_p having order, respectively index, congruent to a(mod d). We compute these densities on average, where the average is taken over all finite fields of prime order. Some connections between the two densities are established. It is also shown how to compute these densities with high numerical accuracy.Comment: 25 pages, 4 tables. A conjecture made in the previous version is now resolved. Tables are also improved, thanks to a C++ program written by Yves Gallo

Testing the use of grammar: Beyond grammatical accuracy

Udostępnienie publikacji Wydawnictwa Uniwersytetu Łódzkiego finansowane w ramach projektu „Doskonałość naukowa kluczem do doskonałości kształcenia”. Projekt realizowany jest ze środków Europejskiego Funduszu Społecznego w ramach Programu Operacyjnego Wiedza Edukacja Rozwój; nr umowy: POWER.03.05.00-00-Z092/17-00

Dynamics of classroom WTC: Results of a semester study

The fact that L2 willingness to communicate (WTC) can fluctuate over different time scales is no longer disputed as numerous studies have proved a dynamic rather than trait-like character of the concept (cf. MacIntyre & Legatto, 2011; MacIntyre, Burns, & Jessome, 2011; Mystkowska-Wiertelak & Pawlak, 2014). The changes in the intensity of L2 learners’ readiness to engage in communication in the classroom context have been investigated in a number of studies attempting also to establish factors capable of stimulating or hindering WTC (e.g., Cao & Philip, 2006; Pawlak & Mystkowska-Wiertelak, 2015; Peng, 2014). Many of empirical explorations of L2 learners’ WTC, although representing the ecological perspective, provide solely a snapshot of classroom reality, thus generating a question if such one-at-a-time picture frame can sufficiently accommodate diverse factors that impinge on learners’ readiness to engage in communication. The application of a longitudinal design was thus dictated by the author’s intention to gather information on WTC ebbs and flows not only during single lessons but also continuing over a number of lessons conducted throughout a semester of study, which allowed for exploring a wider spectrum of conditions that affect WTC of advanced learners of English attending speaking classes. Detailed lesson plans, interview and questionnaire data were used to interpret WTC fluctuations reported by the participants at 5-min intervals in the course of 7 lessons. Qualitative and quantitative analysis of the data revealed that the intensity of communicative behaviour depends on an intricate interplay of personal and group-related factors, with a special role ascribed to the instructor whose knowledge of the group characteristics and needs coupled with didactic skills can greatly contribute to increasing WTC in the classroom

On the distribution of the order and index of g(mod p) over residue classes

For a fixed rational number g, not equal to -1,0 or 1 and integers a and d we consider the set of primes p for which the order of g(mod p) is congruent to a(mod d). For d=4 and d=3 it is shown that, under the Generalized Riemann Hypothesis, these sets have a natural density. Moreover, we explicitly compute this density. For d=4 this generalises earlier work by K. Chinen and L. Murata. The case d=3 was apparently not considered before.Comment: 30 pages, 2 tables. Updated references and some further small change

On the abstract density topologies generated by lower and almost lower density operators

Udostępnienie publikacji Wydawnictwa Uniwersytetu Łódzkiego finansowane w ramach projektu „Doskonałość naukowa kluczem do doskonałości kształcenia”. Projekt realizowany jest ze środków Europejskiego Funduszu Społecznego w ramach Programu Operacyjnego Wiedza Edukacja Rozwój; nr umowy: POWER.03.05.00-00-Z092/17-00

Fluctuations in Learners’ Willingness to Communicate During Communicative Task Performance: Conditions and Tendencies

A person’s willingness to communicate (WTC), believed to stem from a combination of proximal and distal variables comprising psychological, linguistic, educational and communicative dimensions of language, appears to be a significant predictor of success in language learning. The ability to communicate is both a means and end of language education, since, on the one hand, being able to express the intended meanings in the target language is generally perceived as the main purpose of any language course and, on the other, linguistic development proceeds in the course of language use. However, MacIntyre (2007, p. 564) observes that some learners, despite extensive study, may never become successful L2 speakers. The inability or unwillingness to sustain contacts with more competent language users may influence the way learners are evaluated in various social contexts. Establishing social networks as a result of frequent communication with target language users is believed to foster linguistic development. WTC, initially considered a stable personality trait and then a result of context-dependent influences, has recently been viewed as a dynamic phenomenon changing its intensity within one communicative event (MacIntyre and Legatto, 2011; MacIntyre et al., 2011). The study whose results are reported here attempts to tap into factors that shape one’s willingness to speak during a communicative task. The measures employed to collect the data - selfratings and surveys - allow looking at the issue from a number of perspectives