In traditional schooling, one-way monologue from teacher to student is the established way of communica­tion in the classroom. Modern pedagogues are presently breaking free of this status quo.  This master thesis explores whether there is a change in the student’s attitudes towards their school­ing and whether there is an academic benefit for the student when applying a flipped class­room model. This study was performed in Swedish upper secondary school during the students’ last course in mathematics. The study was carried out using focus group interviews and direct participat­ing observation. During the six-week period of interviews and participating in the class­room written tasks were collected and analysed, and the classroom was filmed to help analysing behav­iour of the students, both with flipped classroom and without. The outcome shows positive reac­tions from the students concerning this change in pedagogics, but also some inertia in some individuals. The result shows a positive attitude change concerning communication and collabora­tion in the classroom, although no difference in academic achievement were visible. More studies are needed, but a theoretical base needs to be built before future studies can be con­ducted. Today flipped classroom is undertheorized in ways of an academic model. Future research could be theorizing flipped classroom and exploring whether implementing this pedagogic model also brings forth a change in academic achievement apart from changing the attitudes of the stu­dents.

Syftet med denna studie är att undersöka professionsutveckling hos en specialpedagog med fördjupning inom matematik. Det övergripande syftet är att bidra med kunskap om specialpedagogiska professioner. Teoretiska utgångspunkter är Abbotts (1988) professionsteori och SØT-modellen (Kversøy & Hartviksen, 2008), samt matematikdidaktiska perspektiv med fokus på kognitiva, affektiva och sociala, samt conceptual respektive procedural, dimensioner på undervisningen. Professionsutvecklingen studeras på en norsk högstadieskola som använder en bondgård som sin alternativa undervisningsarena. Studien är longitudinell och autoetnografisk. Det empiriska materialet består av specialpedagogens logganteckningar från sju års verksamhet. Materialet analyseras med hjälp av professionsteori, matematikdidaktisk teori samt autoetnografisk reflektion. Resultaten visar att specialpedagogens professionsutveckling sker i takt med utvidgandet av specialpedagogisk kompetens, som visas i fördjupad reflektionsförmåga, problemlösningsförmåga och förmåga att argumentera genom inferens, via samlad erfarenhet och utbildning. Inom matematik synliggörs att specialpedagogen utvecklar förmågan att lösa problem, genom att i högre grad basera åtgärderna på tidigare erfarenheter och akademisk kunskapsbas i syfte att individ- och situationsanpassa undervisningen. Det specialpedagogiska uppdraget visas i resultatet vara komplext, i synnerhet på en alternativ undervisningsarena. Komplexiteten ökar när specialpedagogen verkar inom flera arenor. Slutsatsen är att specialpedagogens funktion som länk mellan olika aktörer och instanser är viktig, i synnerhet på alternativa undervisningsarenor, för att bidra till en mer inkluderande verksamhetsform. / The purpose of this study is to investigate a SENCO’s (Special Educational Needs Co-ordinator) professional development, especially in mathematic didactic. The main purpose is to contribute with knowledge of special educational professions. The theoretical framework consists of Abbotts (1988) Theory of Professions and a modell called SØT (Kversøy & Hartviksen, 2008), together with mathematic didactic perspectives focusing on cognitive, affective and social, as well as conceptual and procedural, dimensions of teaching. The professional development is studied through a Norwegian secondary school, which uses a farm as its alternative educational arena. The study is longitudinal and auto-ethnographical. The empirical material consists of the SENCO’s written activity logs from a seven-year-period. The empirical material is analysed by profession theories, mathematical didactic and auto-ethnographical reflection. The results show that the SENCO’s professional development occurs simultaneously with expanded special educational competence, which is shown through deepened reflectivity, problem-solving ability and capability to argue with inference through accumulated experience and higher education. In mathematics it is shown that the SENCO develops her ability to solve problems, by further basing the measures, to a greater extent, on previous experience and academic knowledge, in order to provide induvial and situation-adapted teaching. The special educational mission is shown to be complex, especially in an alternative educational arena. The complexity increases when the SENCO works within several arenas. The conclusion is that the SENCO’s function as a link between different actors and instances is important, especially in alternative educational arenas, to contribute with a more inclusive form of schooling.

The aim of my work is to reflect expression coincidence that reflects the theoretical basis of cellular automata and quantum mechanics. I think that art should point to examples of accurate knowledge and in this way spread among potential viewers. This is how I try to get closer to the subjective utopian society WERP-VEGA. I am not entirely convinced that fine arts can change the political situation or address fundamental civilization complications, but I believe that art is able to predict freely one of the possible scenarios of the future because one is only able to do what he can imagine.

In the world, improving quality and reliability of water supply systems, improving access to clean drinking water for the populations in conditions of development and intensive growth of urban settlements are considered an important issue. In this research the most important issue is improving the calculation methods of water delivery and distribution systems within urban water supply complexes. In most countries such as the USA, Germany, Russia, Israel, South Korea, China and other economically developed countries, special attention has been paid to provide clean drinking water for their population, improve the quality of design for water supply systems and ensure reliability and design of water distribution system for urban settlements. A water supply network for distributing the water for drinking and other purposes is a component of a city and municipal planning. Therefore, it needs to be planned and designed by city planners and civil engineers with the utmost care. It is also necessary to consider of factors that will have an impact, such as the location of the town or city, its current water demand, the growth in the demand in future, leakage in the systems, the required pressure in the pipes, losses in the pipes, etc. Targeted research aimed to develop scientifically grounded calculation methods for studying and developing theoretical bases for calculation water delivery and distribution system within urban water supply complexes. The study also considered new working conditions and requirements for their modernization, which are especially important worldwide. In this study the most important tasks are to improve calculation methods of water delivery and distribution systems under the condition of multi-mode water flow in pipes and uncertainties of network parameters. Further, Mazar-e-Sharif city has been considered as a case to apply the developed mathematical calculation, describing water delivery and distribution processes, rational development and reconstruction of water delivery and distribution systems. Currently, a wide range of comprehensive studies is being carried out in many countries on the use of modern computer technologies on the implementation of comprehensive measures to improve access to clean drinking water in city, through the construction of new water tanks, an extension of the existing water tanks, sewerage facilities and water supply network. The development strategy of the Islamic Republic of Afghanistan in line with SDG’s is first improving the supply and delivery of clean drinking water in each province of the country. Since many years the local Government of Balkh province and people of Mazar-e-sharif city are wishing to have the new modern water supply system to satisfy all needs but unfortunately, they did not success to get this opportunity. Mazar-e-Sharif is the second largest city in Afghanistan and the population is growing day by day as due to economic reasons people from other provinces immigrate to Mazar. The current water supply system is the individual/local distribution system made by the local community and some NGOs which are not standard, and the quality of the water is not satisfactory.:Table of Content CHAPTER 1 : Introduction 1 1.1 Background 1 1.2 Research Objectives 2 1.3 Structure of the thesis 3 1.4 Study Area 4 1.5 Socioeconomic conditions 5 1.6 Master Plan and Future Development 6 1.7 Physiography 7 1.8 Existing situation 8 1.8.1 Ground water 8 1.8.2 Water Quality 8 1.8.3 Surface Water 9 1.8.4 Actual Production 9 1.8.5 Storage 11 1.8.6 Operation of current Water Supply System 11 CHAPTER 2 : Literature review 13 2.1 Water Supply System 13 2.2 Water supply characteristics 15 2.3 Theory of hydraulic models 17 2.4 Analysis of existing theories and methodologies for modeling a water supply and distribution system in a water supply complex 31 CHAPTER 3 : Research methodology 36 3.1 Overview 36 3.2 Description of the properties and types of sets used in the model 38 3.3 Mathematical model of the water supply system 39 3.4 Mathematical model of the designed water supply network 41 3.5 Water flow continuity equation 43 3.6 Equation of water balance in tanks 44 3.7 Establishment of pressure loss in pipes, under the condition of optimal operation of tanks on the water supply system 44 3.8 The objective function of water supply network optimization 55 3.9 Limitations in optimizing the water supply network 58 3.10 Bringing distributed water consumption to network nodes of a water distribution system 60 3.11 Determination of rational parameters of a water distribution system 61 3.12 Determination of the parameters of water distribution system during the reconstruction of the existing water supply network 62 3.13 Mathematical model for optimizing the reconstruction of a water supply system 63 CHAPTER 4 : Result and Discussion 66 4.1 Assessment reliability of the results 66 4.2 Task 1 (Hydraulic calculation of a single-ring water supply network) 66 4.3 Task 2 (Hydraulic calculation of a multi-ring water supply network in simulation mode) 68 4.4 Task 3 (Test water supply network) 70 4.4.1 Water Demand 71 4.4.2 Parameters for Hydraulic Design 72 4.5 Design procedure 73 4.6 The structure of the software package and the model interface 83 4.6.1 Structure of the water supply optimization system 83 4.6.2 Optimization system control module 84 4.6.3 Graphical editor 84 4.7 Graphical editor input and output files 90 4.7.1 GDX file 90 4.7.2 Text file 90 4.8 EXCEL file 93 4.9 Water supply system indicators (pipe lengths, pipe diameters) 99 4.10 EXCEL file exists 100 CHAPTER 5 : Conclusion 109 CHAPTER 6 : References 112 CHAPTER 7 : Appendix 118 7.1 Diagram of the water supply network of a real settlement 118 7.2 Comparison of water flow rates in a real existing water supply network performed according to existing methods and using an optimization model in simulation mode 119 7.3 Comparison of the values of water consumption in the real existing water supply network performed according to existing methods and using the optimization model in the optimization mode 124 7.4 Compilation of pipe diameter in the real and optimal conditions in meters 129 7.5 Pressure in the nodes of the water supply network before connecting a new user and after connecting and reconstructing the network 135

No description available.

Le programme -Une école adaptée à tous ses élèves-, qui s'inscrit dans la réforme actuelle de l'éducation au Québec, nous a amenée à nous intéresser aux représentations dans les grandeurs en mesure en mathématiques des élèves en difficulté d'apprentissage. Nous nous sommes proposés de reconduire plusieurs paramètres de la recherche de Brousseau (1987, 1992) auprès de cette clientèle. La théorie des champs conceptuels (TCC) de Vergnaud (1991), appliquée aux structures additives, a été particulièrement utile pour l'analyse et l'interprétation de leurs représentations. Comme méthode de recherche, nous avons utilisé la théorie des situations didactiques en mathématiques (TSDM), réseau de concepts et de méthode de recherche appuyé sur l'ingénierie didactique qui permet une meilleure compréhension de l'articulation des contenus à enseigner. Grâce à la TSDM, nous avons observé les approches didactiques des enseignants avec leurs élèves. Notre recherche est de type exploratoire et qualitatif et les données recueillies auprès de 26 élèves de deux classes spéciales du deuxième cycle du primaire ont été traitées selon une méthode d'analyse de contenu. Deux conduites ont été adoptées par les élèves. La première, de type procédural a été utilisée par presque tous les élèves. Elle consiste à utiliser des systèmes de comptage plus ou moins sophistiqués, de la planification aux suites d'actions. La deuxième consiste à récupérer directement en mémoire à long terme le résultat associé à un couple donné et au contrôle de son exécution. L'observation des conduites révèle que les erreurs sont dues à une rupture du sens. Ainsi, les difficultés d'ordre conceptuel et de symbolisation nous sont apparues plus importantes lorsque l'activité d'échange demandait la compétence "utilisation" et renvoyait à la compréhension de la tâche, soit les tâches dans lesquelles ils doivent eux-mêmes découvrir les rapports entre les variables à travailler et à simuler les actions décrites dans les énoncés. En conséquence, les problèmes d'échanges se sont révélés difficiles à modéliser en actes et significativement plus ardus que les autres. L'étude des interactions enseignants et élèves a démontré que la parole a été presque uniquement le fait des enseignants qui ont utilisé l'approche du contrôle des actes ou du sens ou les deux stratégies pour aider des élèves en difficulté. Selon le type de situation à résoudre dans ces activités de mesurage de longueur et de masse, des mobilisations plurielles ont été mises en oeuvre par les élèves, telles que la manipulation d'un ou des étalon(s) par superposition, par reports successifs, par pliage ou par coupure lorsque l'étalon dépassait; par retrait ou ajout d'un peu de sable afin de stabiliser les plateaux. Nous avons également observé que bien que certains élèves aient utilisé leurs doigts pour se donner une perception globale extériorisée des quantités, plusieurs ont employé des procédures très diverses au cours de ces mêmes séances. Les résultats présentés étayent l'hypothèse selon laquelle les concepts de grandeur et de mesure prennent du sens à travers des situations problèmes liées à des situations vécues par les élèves, comme les comparaisons directes. Eles renforcent et relient les grandeurs, leurs propriétés et les connaissances numériques. / -An education system adjusted to all its pupils-, in line with the present reform of the education system of Québec has led us in this project, to examine how students with learning problems deal with numbers and measurements in mathematics. In the present study, our purpose is to double-check many of the parameters defined in the work of Brousseau (1987, 1992). The theory of the conceptual fields of Vergnaud (1991)applied to the additives structures, was particularly useful in our analysis of the facts and the interpretation of their representations. In this work, the methodology we adopted is the Didactic engineering, wich allow a better understanding in articulating the contents to each. Using Theory of didactic situations in mathematics, we examined the didactic approaches the teachers have in their relationship with their students. The data for our study, which is of the exploratory and qualitative type, was collected with twenty six students of the second cycle of the primary school. That data was analysed in conformity with a medthodology of content analysis. The examination of the student's behavior revealed two attitudes. Almost all the students used the first attitude, which is of the procedural type. It consisted in using counting systems more or less sophisticated from the planning to the folowing actions involved. The second attitude implied memorizing for the long term, the result associated with a specific couple of actions and the control of their execution. The observaton of the student's attitudes reveals that the errors they made are related to a semantic disruption in their interpretation of the varied tips and strategies the teachers tried to help them with to solve the different problems. Thus, it appeared to us that the difficulties at the conceptual and symbolization levels were more important when the exchange activity involved their competence to evaluate and activity related to the understanding to the task to achieve. In other terms, they had more difficulty with the tasks where they had to establish by themselves to link between the variables, and simulate the actions involved by those tasks. Consequently, the tasks involving exchange operations happened to be more difficult to translate into actions, and were clearly more problematic than the other tasks. The study of the interaction between teachers and students revealed that only teachers used words in the process, where they used the approach of the control of the actions, or the approach of control of the meaning or both strategies to help students with problems. Depending on the type of problem encountered during these activities of measurements of length and masses, the students had recourse to numerous experiments such as manipulation of the standard measure(s). They proceeded by superimposing, by successive deferments, by folding, by cutting when the standard was exceeding in size; or by reduction or addition of some amount of sand to bring into balance the scale. We noticed also that despite the fact that certain students used their fingers to have a global idea of the external measures of the quantities, many of those same students had recourse to a diversity of other procedures during the same test. The result presented here support the hypothesis that says that the concepts of size and measurement get more meaning in a specific context, where they relate to real situations lived by the students, as well as by direct comparisons. They reinforce and establish links between the so-called sizes, their properties and the numeric knowledge.

Il semble y avoir des attentes réciproques non comblées en formation initiale à l’enseignement des mathématiques. Cherchant à comprendre la genèse de ces attentes, nous nous sommes intéressée à la vision que les étudiants nourrissent des phénomènes d’enseignement. Ayant postulé que les étudiants ont une vision déterministe de ces phénomènes, et considérant que leur anticipation oriente leur projet de formation, nous nous sommes attaquée au problème de la rencontre des projets des étudiants et des formateurs. Deux objectifs généraux ont été formulés : le premier concerne la description des projets de formation des étudiants tandis que le second concerne l’expérimentation d’une séquence de situations susceptible de faire évoluer leurs projets. Cette recherche a été menée auprès de 58 étudiants du baccalauréat en enseignement en adaptation scolaire et sociale d’une même université, lesquels entamaient leur formation initiale à l’enseignement des mathématiques. Afin d’explorer les projets qu’ils nourrissent a priori, tous les étudiants ont complété un questionnaire individuel sur leur vision des mathématiques et de leur enseignement et ont participé à une première discussion de groupe sur le sujet. Une séquence de situations probabilistes leur a ensuite été présentée afin d’induire une complexification de leur projet. Enfin, cette expérimentation a été suivie d’une seconde discussion de groupe et complétée par la réalisation de huit entretiens individuels. Il a été mis en évidence que la majorité des étudiants rencontrés souhaitent avant tout évoluer en tant qu’enseignant, en développant leur capacité à enseigner et à faire apprendre ou comprendre les mathématiques. Bien que certaines visées se situent dans une perspective transmissive, celles-ci ne semblent pas représentatives de l’ensemble des projets "visée". De plus, même si la plupart des étudiants rencontrés projettent de développer des connaissances relatives aux techniques et aux méthodes d’enseignement, la sensibilité à la complexité dont certains projets témoignent ne permet plus de réduire les attentes des étudiants à l’endroit de leur formation à la simple constitution d’un répertoire de techniques d’enseignement réputées efficaces. En ce qui a trait aux modes d’anticipation relevés a priori, nos résultats mettent en relief des anticipations se rattachant d’abord à un mode adaptatif, puis à un mode prévisionnel. Aucune anticipation se rattachant à un mode prospectif n’a été recensée a priori. La séquence a permis aux étudiants de s’engager dans une dialectique d’action, de formulation et de validation, elle les a incités à recourir à une approche stochastique ainsi qu’à porter un jugement de probabilité qui prenne en compte la complexité de la situation. A posteriori, nous avons observé que les projets "visée" de certains étudiants se sont complexifiés. Nous avons également noté un élargissement de la majorité des projets, lesquels considèrent désormais les autres sommets du triangle didactique. Enfin, des anticipations se rattachant à tous les modes d’anticipation ont été relevées. Des anticipations réalisées grâce à un mode prospectif permettent d’identifier des zones d’incertitude et de liberté sur lesquelles il est possible d’agir afin d’accroître la sensibilité à la complexité des situations professionnelles à l’intérieur desquelles les futurs enseignants devront se situer. / There seems to be unfulfilled reciprocal expectations in mathematical education and initial preparation of teachers. While trying to understand the genesis of their expectations, we were interested in the vision that future teachers have of the educational phenomena. Having postulated that these students have a deterministic view of these phenomena and considering that their anticipation guides their training project, we addressed the problem of the encounter of student and educator projects. Two general objectives were formulated: the first aims at describing student training projects while the second addresses the development of a sequence of situations to help enrich their initial projects. This research was conducted among 58 undergraduate students in special education at a single university. They were beginning their initial training in teaching mathematics. In order to explore their initial projects, all students completed a questionnaire to inform on their personal vision of mathematics and its teaching. They also participated in an initial group discussion on the subject. A sequence of probabilistic situations was then presented to induce enrichment of their project. Finally, this experiment was followed by a second group discussion and completed with eight interviews. It was highlighted that the majority of the students met want to evolve primarily as a teacher, developing their ability to teach and stimulate learning and understanding of mathematics. Although some project goals fall into a transmissive perspective, these do not seem representative of the overall goals of the projects. Moreover, although most students want to develop knowledge of techniques and teaching methods, the sensitivity to complexity shown in some projects does not allow to reduce students' expectations regarding their training to the building of a repertoire of teaching techniques deemed effective. Regarding modes of anticipation identified initially, our results highlight anticipations connected with first an adaptive mode and then a forecast mode. We found no initial anticipation connected with a prospective mode. The sequence has allowed students to engage in a dialectic of action, formulation and validation, it prompted them to use a stochastic approach and to make probability judgment that takes into account the complexity of the situation. Afterwards, we observed that the projects of some students had become more complex. We also noted a widening of the majority of projects which opened to considering other vertices of the didactic triangle. Finally, anticipations relating to all modes of anticipation were identified. Anticipations made through a prospective mode helped identify areas of uncertainty and freedom upon which it appears possible to act, to increase sensitivity to the complexity of the educational situations and the act of teaching.

Made available in DSpace on 2016-04-27T16:57:46Z (GMT). No. of bitstreams: 1 EDM - Denise Franco C Ribeiro.pdf: 50065410 bytes, checksum: 48537d98b22a72eb67e7a3648a60dfab (MD5) Previous issue date: 2006-10-06 / Secretaria da Educação do Estado de São Paulo / The aim of this search is to add to the investigations about the mathematic education history in Brazil, especially in the age from 1930 to 1940. The purpose is the happened transformations of the Mathematic teaching organization from the Complementary Grades, established in the Francisco Campos reform to the Classic and the Scientific Grades, established in the Gustavo Capanema s reform. Well-founded in the theoretical lessons of André Chervel, Alain Choppin and Roger Chartier, the study asks the question: What happened transformations in the mathematic teaching organization, from the Francisco Campos reform to the Capanema s? To answer this question, we use the legislation of the educational reforms and the Mathematic s books of the studied age as principal search authority / Esta pesquisa tem por objetivo contribuir com as investigações sobre a história da educação matemática no Brasil, especialmente no período compreendido entre as décadas de 1930 a 1940. O trabalho tem por objeto o estudo das transformações ocorridas na organização dos ensinos de Matemática dos Cursos Complementares, instituídos na Reforma Francisco Campos; aos Cursos Clássico e Científico, criados na Reforma Gustavo Capanema, visando ao processo de disciplinarização da Matemática para esse nível escolar. Baseado nos ensinamentos teóricos de André Chervel, Alain Choppin e Roger Chartier, o trabalho busca responder à questão: Que transformações ocorreram na organização dos ensinos de Matemática, da Reforma Francisco Campos para a Capanema? Para responder a esta questão, utilizamos como principais fontes de pesquisa a legislação das respectivas reformas educacionais e livros didáticos de Matemática editados para o período estudado

Made available in DSpace on 2016-04-27T16:58:10Z (GMT). No. of bitstreams: 1 dissertacao_manoel_rodrigues_paiva.pdf: 16923903 bytes, checksum: 35c4c79a7237bab78ab62145ef1da066 (MD5) Previous issue date: 2003-10-13 / This work is the result of a research about the influence of the ENEM (High School National Exam) from 1998 to 2002 in the Mathematic didactic book for high school level and, simultaneously, in the Mathematic discipline in Brazil. Starting from a global context the guidelines of the new directions of the Brazilian high school education are presented. Several ideas of competence notion have been discussed and the ENEM has been presented with its theoretical basis and guidelines, pointing out the skills and competence evaluated by the ENEM, with the objective to establish a counterpoint to the official documents, some criticism to the ENEM exam has been presented from specialists in education, Mathematics and cognitive psychology. To investigate the possible changes in the Mathematic discipline, two didactic books prior to 1998 and two after 2002 were analyzed under the prospective of competence and skills from the ENEM. This analysis showed that the didactic book registered the beginning of a transformation movement in the Mathematic discipline, motivated, as everything indicates, by the new guidelines proposed at the National Curriculum Standards for High School (PCNEM), which were based on the results at the International Meeting of Education for the XXI century of the United Nations Educational, Scientific and Cultural Organization (UNESCO). The ENEM, as the first official document to make these proposals concrete as exercises, seems to become a reference / Este trabalho é o resultado de uma pesquisa acerca da influência do Exame Nacional do Ensino Médio (ENEM), de 1998 a 2002, no livro didático de Matemática do Ensino Médio e, simultaneamente, na disciplina Matemática no Brasil. Partindo do contexto mundial, apresentamos os eixos norteadores das novas diretrizes do Ensino Médio brasileiro. Discutimos várias concepções da noção de competência e apresentamos o ENEM com seus fundamentos teóricos e diretrizes, listando as competências e habilidades avaliadas por ele. Com o objetivo de estabelecer um contraponto aos documentos oficiais, apresentamos algumas críticas ao Exame, por parte de especialistas em Educação, em Matemática e em Psicologia Cognitiva. Para a investigação de possíveis transformações na disciplina Matemática, analisamos, sob a ótica da matriz de competências e habilidades do ENEM, dois livros didáticos anteriores a 1998 e dois posteriores a 2002. Esta análise mostrou que o livro didático registra o início de um movimento de transformações na disciplina Matemática, motivado, ao que tudo indica, pelas novas diretrizes propostas nos Parâmetros Curriculares Nacionais do Ensino Médio (PCNEM), que, por sua vez, foram inspiradas nos resultados da Reunião Internacional sobre Educação para o século XXI da United Nations Educational, Scientific and Cultural Organization (UNESCO). O ENEM, como o primeiro documento oficial a concretizar essas propostas em forma de exercícios, parece tornar-se uma referência

<p>Our work is based on a mathematics test which the students accomplished, interviews with student and teachers who are working on this program and the current literatures. The purposes of this work are to search the importance and the effect of the languages understanding in students learning of mathematic in the Individual high school curriculum. In total, sex students and three teachers took part in our study. Tow of the students is mother tongue language student and the remains are second language student. Our study should answer tow important questions:</p><p>• Do the student in the Individual high school curriculum have the fundamental knowledge in mathematic?</p><p><em><strong></strong></em></p><p>• How does the understanding of Swedish language effect in the understanding of the mathematic problems and in the students results in mathematic test?</p><p><em><strong></strong></em></p><p>In order to answer those questions, the students have to complete a mathematic test that consists of four parts. To answer the first questions the student must finish the first three parts of the test. It is about how to calculate addition, subtraction, multiplication and divisions problems and to account number in decimal and break shape. The mother tongue language student passed the test with excellence degree and they refused doing the fourth part. It was voluntary to participate and for this we couldn’t change there mind. Two students didn’t pass this test and they can not complete the fourth part. From the interviews we know that they have problem with concentration, they have ADHD (Attention deficit hyperactivity Disorder) and DAMP. For this they didn’t participate in the forth part. </p><p>Just two students finished the fourth part and they passed it with good degree. To analyse the difference in the test results between the students, we make some interviews with teachers and students in the IV program. From the final results of the test and interviews, we realized that the second language students’ difficulties are depended on the defect in the vocabulary in Swedish language, defect in understanding of concepts and expressions and some others factors which can effect in students learning.</p>