Adapting the Process Writing Approach to English Language Learners with Special Needs: Using Visuals

The available literature on the writing characteristics and best practices to teach writing to English Language Learners who also present some disability is scarce. In order to understand and provide some insight on the developments in this field, I propose an adaptation of the Process Writing Approach based on a literature review of the existing bibliography about the writing characteristics of English Language Learners, Special Needs Learners, and English Language Learners with Special Needs’ writing, the effects of the Process Writing Approach in teaching writing to these groups, and the use of visuals in writing instruction. The main assumptions of this study are: a) The Process Writing Approach provides an opportunity to differentiate instruction to ELLs with special needs and gives them additional opportunities to bring their funds of knowledge to the classroom, improving their writing, and b) By allowing students to rely on visuals in different phases of the writing process teachers will be addressing the needs of both visual and verbal learners, therefore allowing students more options to develop writing skills. The main pedagogical implication is that by dividing writing in recursive stages and inserting visuals as scaffolding throughout the entire writing process, teachers will provide an alternative approach to writing instruction that may be more effective to English Language Learners with Special Needs.

Three essays on liquidity risk

Preface In this thesis we study several questions related to transaction data measured at an individual level. The questions are addressed in three essays that will constitute this thesis. In the first essay we use tick-by-tick data to estimate non-parametrically the jump process of 37 big stocks traded on the Paris Stock Exchange, and of the CAC 40 index. We separate the total daily returns in three components (trading continuous, trading jump, and overnight), and we characterize each one of them. We estimate at the individual and index levels the contribution of each return component to the total daily variability. For the index, the contribution of jumps is smaller and it is compensated by the larger contribution of overnight returns. We test formally that individual stocks jump more frequently than the index, and that they do not respond independently to the arrive of news. Finally, we find that daily jumps are larger when their arrival rates are larger. At the contemporaneous level there is a strong negative correlation between the jump frequency and the trading activity measures. The second essay study the general properties of the trade- and volume-duration processes for two stocks traded on the Paris Stock Exchange. These two stocks correspond to a very illiquid stock and to a relatively liquid stock. We estimate a class of autoregressive gamma process with conditional distribution from the family of non-central gamma (up to a scale factor). This process was introduced by Gouriéroux and Jasiak and it is known as Autoregressive gamma process. We also evaluate the ability of the process to fit the data. For this purpose we use the Diebold, Gunther and Tay (1998) test; and the capacity of the model to reproduce the moments of the observed data, and the empirical serial correlation and the partial serial correlation functions. We establish that the model describes correctly the trade duration process of illiquid stocks, but have problems to adjust correctly the trade duration process of liquid stocks which present long-memory characteristics. When the model is adjusted to volume duration, it successfully fit the data. In the third essay we study the economic relevance of optimal liquidation strategies by calibrating a recent and realistic microstructure model with data from the Paris Stock Exchange. We distinguish the case of parameters which are constant through the day from time-varying ones. An optimization problem incorporating this realistic microstructure model is presented and solved. Our model endogenizes the number of trades required before the position is liquidated. A comparative static exercise demonstrates the realism of our model. We find that a sell decision taken in the morning will be liquidated by the early afternoon. If price impacts increase over the day, the liquidation will take place more rapidly.