Knowledge and writing in school mathematics : a communicational approach

This thesis is about young students’ writing in school mathematics and the ways in which this writing is designed, interpreted and understood. Students’ communication can act as a source from which teachers can make inferences regarding students’ mathematical knowledge and understanding. In mathematics education previous research indicates that teachers assume that the process of interpreting and judging students’ writing is unproblematic. The relationship between what students’ write, and what they know or understand, is theoretical as well as empirical. In an era of increased focus on assessment and measurement in education it is necessary for teachers to know more about the relationship between communication and achievement. To add to this knowledge, the thesis has adopted a broad approach, and the thesis consists of four studies. The aim of these studies is to reach a deep understanding of writing in school mathematics. Such an understanding is dependent on examining different aspects of writing. The four studies together examine how the concept of communication is described in authoritative texts, how students’ writing is viewed by teachers and how students make use of different communicational resources in their writing. The results of the four studies indicate that students’ writing is more complex than is acknowledged by teachers and authoritative texts in mathematics education. Results point to a sophistication in students’ approach to the merging of the two functions of writing, writing for oneself and writing for others. Results also suggest that students attend, to various extents, to questions regarding how, what and for whom they are writing in school mathematics. The relationship between writing and achievement is dependent on students’ ability to have their writing reflect their knowledge and on teachers’ thorough knowledge of the different features of writing and their awareness of its complexity. From a communicational perspective the ability to communicate [in writing] in mathematics can and should be distinguished from other mathematical abilities. By acknowledging that mathematical communication integrates mathematical language and natural language, teachers have an opportunity to turn writing in mathematics into an object of learning. This offers teachers the potential to add to their assessment literacy and offers students the potential to develop their communicational ability in order to write in a way that better reflects their mathematical knowledge.

Varför ska man dölja det? : -en kvalitativ studie av identitet i förhållande till läs-och skrivsvårigheter

In schools today, we expect student performances and achievements to be exceptional. Having good reading and writing skills are essential if students want to excel at their school assignments. Students with reading and writing difficulties have to work much harder than their other classmates. Their having to work harder coupled with being teenagers and facing all the uncertainties which are present at that age, these students face the difficult task of trying to find out who they are and who they want to be. In other words, they try to create their own individual identities. This study investigates the experiences of students with reading and writing difficulties in their interactions with other students and school personnel, in different situations. The collection of data has been done through group interviews. Thirteen, 15 year old students participated in these interviews. Some of the factors which characterise a hermeneutic approach have helped to form the basis on which the study lies. A hermeneutic approach suggests that the data collected is sorted and analysed to enable the identification of differences and patterns. These patterns are arranged to give results that are subjective and which also show an interpretation of the data collected. The results show that students are more comfortable with their identities, when they are diagnosed or made aware that their performances in school are directly affected by their reading and writing difficulties. The study also shows that having reading and writing difficulties tells the students who they are but, at the same time, plays an important role in their interactions with other classmates and adults. The outcomes of these interactions greatly affect the formation of their identities. The way in which school personnel treat students is also shown to be of great importance.

Vad sker i elevers parskrivande vid datorn? : Observation av fyra elevpar i årskurs ett

The aim with this study is to explore if and how linguistic learning takes places when four pairs ofstudents in grade one writes on the computer. Observations of eight students took place duringtwelve lessons to investigate what happened during their writing processes. This study isimportant because students’ computer writing is a relatively new phenomenon in the Swedishprimary school.It is clear that the peer collaboration creates a complex interaction that becomes the platform, andalso the prerequisite, for successful language training. The method can clearly give students profitsin their linguistic development. When working in pairs, children support each other in writing andreading. They also get to train letter knowledge, phonemic awareness and the correspondencebetween phonemes and graphemes. Although the method creates good possibilities for readingand writing development, it cannot be the only way to learn reading. There are also risks thatstudents get stuck in different positions that can affect their progresses, which is important thatthe teachers consider while creating writing pairs. Teachers need to identify student’s reading andwriting development processes and also be able to create reading and writing instruction thatprovides different learning strategies.

Skicklig läs- och skrivundervisning i åk 1-3 : Om lärares möjligheter och hinder

This study focuses on teachers’ opportunities and obstacles to perform skillful reading and writing instruction. It’s about the ability to accurately identify where students are in their reading and writing process and to help them develop good reading skills. It is also about the ability to recognize signs of difficulties that students may have in their written language development and to know what efforts are needed to help them advance their reading and writing skills. The research is based on teachers’ own statements and survey responses on the external conditions for teaching and on their approach, attitudes and knowledge in reading and writing. The empirical material consists of interviews, surveys and test data. The interview study was conducted with eight teachers. The questionnaire was answered by 249 teachers, while the knowledge test was conducted of 269 teachers and 31 special education teachers. Many of the teachers in this study have lack knowledge in the structure of language and common Swedish spelling rules. Furthermore, it appears that a large part of them are unaccustomed to explaining, in detail, students’ reading development and find it difficult to systematically describe the aspects of daily literacy instruction. The overall picture is that many teachers teach without having tools to reflect on how their education really affects students’ reading and writing. These shortcomings make it difficult to conduct effective literacy instruction. Once students have learned to decode or if they have reading difficulties, many teachers seem to one-sidedly focus on getting students to read more. The consequence could be that those who would need to practice more on the technical basic of reading or comprehension strategies are left without support. Lack of variety and individuality in fluency and comprehension training can challenge the students’ reading and writing development. The teachers in the study, who have the old junior school teacher and elementary teacher education, have the highest amount of knowledge of reading and writing (the test). Good education can provide student teachers with professional skills that they may develop further in their careers. Knowledge of the meaning of phonological and phonemic awareness as well as knowledge of how to count phonemes seem to be important for knowledge of reading and writing (the test). Knowledge of basic reading processes can be obtained by systematic and structured work with students’ linguistic development, and through continuous dialogues with experienced colleagues on how and why questions. This is one important way to work also in teacher training. When essential professional skills are established in the teacher education, in practice students will obtain the school’s learning goals.

Wittingmetoden : En jämförande litteraturstudie av Wittingmetoden

During these last decades there´s been a debate concerning children’s reading and writing skills. The opinion has been that children does not reach the goals in the curriculum. This study is focusing on the positive and negative sides in Phonics and Whole Language. It is also a presentation of the Witting Method and if this method can be a contributed factor when it comes to reaching curriculum goals.

Elvaåringars skriftbruk till vardags och i skolan

The written word ‘surrounds us round the clock’. Consequently, it is difficult to determine the border between children’s school literacy and their vernacular literacy outside school. The aim of this article is therefore to describe some everyday literacy events and their relation to literacy events in grade 5 in school.  The concept literacy covers broader ways of reading and writing and is understood in the social context in which it is used and acquired. Children use different written modes of communication outside school, for example, Facebook and blogs, but seldom books. In school, on the other hand, they usually write with a pen and read books made of paper. The children’s vernacular literacy practices and school literacy practices meet during school breaks, where students’ texting and typing are visible. The different use of modes, tools and literacy events among students are something that probably should be problematized and discussed within schools with the aim of drawing on everyday practices to enhance educational development.

The value of a saved tree : The lifecycle of CO2-emissions associated with the combination of printing paper and electricity production of wood in the U.S. and Sweden

The pulp- and paper production is a very energy intensive industry sector. Both Sweden and the U.S. are major pulpandpaper producers. This report examines the energy and the CO2-emission connected with the pulp- and paperindustry for the two countries from a lifecycle perspective.New technologies make it possible to increase the electricity production in the integrated pulp- andpaper mill through black liquor gasification and a combined cycle (BLGCC). That way, the mill canproduce excess electricity, which can be sold and replace electricity produced in power plants. In thisprocess the by-products that are formed at the pulp-making process is used as fuel to produce electricity.In pulp- and paper mills today the technology for generating energy from the by-product in aTomlinson boiler is not as efficient as it could be compared to the BLGCC technology. Scenarios havebeen designed to investigate the results from using the BLGCC technique using a life cycle analysis.Two scenarios are being represented by a 1994 mill in the U.S. and a 1994 mill in Sweden.The scenariosare based on the average energy intensity of pulp- and paper mills as operating in 1994 in the U.S.and Sweden respectively. The two other scenarios are constituted by a »reference mill« in the U.S. andSweden using state-of-the-art technology. We investigate the impact of varying recycling rates and totalenergy use and CO2-emissions from the production of printing and writing paper. To economize withthe wood and that way save trees, we can use the trees that are replaced by recycling in a biomassgasification combined cycle (BIGCC) to produce electricity in a power station. This produces extra electricitywith a lower CO2 intensity than electricity generated by, for example, coal-fired power plants.The lifecycle analysis in this thesis also includes the use of waste treatment in the paper lifecycle. Both Sweden and theU.S. are countries that recycle paper. Still there is a lot of paper waste, this paper is a part of the countries municipalsolid waste (MSW). A lot of the MSW is landfilled, but parts of it are incinerated to extract electricity. The thesis hasdesigned special scenarios for the use of MSW in the lifecycle analysis.This report is studying and comparing two different countries and two different efficiencies on theBLGCC in four different scenarios. This gives a wide survey and points to essential parameters to specificallyreflect on, when making assumptions in a lifecycle analysis. The report shows that there arethree key parameters that have to be carefully considered when making a lifecycle analysis of wood inan energy and CO2-emission perspective in the pulp- and paper mill in the U.S. and in Sweden. First,there is the energy efficiency in the pulp- and paper mill, then the efficiency of the BLGCC and last theCO2 intensity of the electricity displaced by BIGCC or BLGCC generatedelectricity. It also show that with the current technology that we havetoday, it is possible to produce CO2 free paper with a waste paper amountup to 30%. The thesis discusses the system boundaries and the assumptions.Further and more detailed research, including amongst others thesystem boundaries and forestry, is recommended for more specificanswers.