This thesis deals with implementation of computer technologies to teaching practice of mathematics in the 7th year of elementary school. The thesis is divided into two parts ? a theory and an application. The theory includes the most important knowledge of interactive teaching divided into teaching with interactive whiteboard and computer assisted learning. It also discusses approaches to teaching mathematics as an important part of education and connecting problem solving into education. The application includes worksheets that introduce the usage of interactive issues in education and description of a trial performed in the 7th class of elementary school. The aim of the trial was to find out the influence of interactive education to dealing with mathematical problem solving

<p>Thanks to I have got to explore different teaching ways around the problem solving in a year 3, in a multicultural school which is located south of Stockholm, I have been able to answer my question at issue in my degree work. My question at issue on this investigation and the purpose with my degree work was to explore different teaching ways that promotes pupils with another mother tongue than Swedish, to develop reading comprehension and to get a better understanding of mathematical concepts in problem solving tasks. On this investigation have I chosen to teach these pupils to explore, reach and gain a deeper understanding of what teaching about problem solving promotes these pupils. I have when it concerns choice of method and material collections assumed from a qualitative investigation and gathered the material with help from participation notices and interviews. </p><p>I have in my investigation reached the conclusion that those pupils with another mother tongue than Swedish developed reading comprehension and got a better understanding of mathematical concepts in problem solving tasks by being taught in a creative and varied teaching. A creative and varied teaching as I taught those pupils in contained:</p><ul><li>the pupils had to work with living-related problem tasks</li><li>the pupils had to work in pairs to resolve problem solving</li><li>the pupils had to work in larger groups to resolve problem solving</li><li>the pupils had to work in a creative way, by writing and drawing pictures and do their own mathematical fairy tale in problem solving</li><li>the pupils had to work with manipulatives to resolve problem solving in half classes.</li></ul> / <p>Tack vare att jag fick undersöka olika undervisningssätt runt problemlösning i en årskurs 3, i en mångkulturell skola som ligger söder om Stockholm, har jag kunnat besvara min frågeställning i mitt examensarbete. Syftet med examensarbetet var att undersöka vilken undervisning som gynnar elever med annat modersmål än svenska att utveckla läsförståelsen och få en ökad förståelse för matematiska begrepp i problemlösningsuppgifter. I undersökningen har jag valt att själv undervisa eleverna för att kunna undersöka, komma fram till och få en djupare förståelse om vilken undervisning runt problemlösning som gynnar dessa elever. När det gäller mitt val av metod och materialinsamling har jag valt att utgå från en kvalitativ undersökning, där jag har använt mig av deltagande observationer och intervjuer. </p><p>Jag har i min undersökning kommit fram till att dessa elever med annat modersmål än svenska utvecklade läsförståelsen och fick en ökad förståelse för matematiska begrepp i problemlösningsuppgifter genom att undervisas i en kreativ och varierad undervisning. En kreativ och varierad undervisning som jag undervisade eleverna i bestod av:</p><ul><li>att eleverna fick arbeta med elevnära problemuppgifter</li><li>eleverna fick arbeta med att lösa problemlösning i par</li><li>eleverna fick arbeta med att lösa problemlösning i större grupper</li><li>eleverna fick arbeta kreativt, genom att skriva och rita bilder och egna räknehändelser i problemlösning</li><li>eleverna fick arbeta med laborativt medel för att kunna lösa problemuppgifter i halvklasser.</li></ul>

Thanks to I have got to explore different teaching ways around the problem solving in a year 3, in a multicultural school which is located south of Stockholm, I have been able to answer my question at issue in my degree work. My question at issue on this investigation and the purpose with my degree work was to explore different teaching ways that promotes pupils with another mother tongue than Swedish, to develop reading comprehension and to get a better understanding of mathematical concepts in problem solving tasks. On this investigation have I chosen to teach these pupils to explore, reach and gain a deeper understanding of what teaching about problem solving promotes these pupils. I have when it concerns choice of method and material collections assumed from a qualitative investigation and gathered the material with help from participation notices and interviews.  I have in my investigation reached the conclusion that those pupils with another mother tongue than Swedish developed reading comprehension and got a better understanding of mathematical concepts in problem solving tasks by being taught in a creative and varied teaching. A creative and varied teaching as I taught those pupils in contained: the pupils had to work with living-related problem tasks the pupils had to work in pairs to resolve problem solving the pupils had to work in larger groups to resolve problem solving the pupils had to work in a creative way, by writing and drawing pictures and do their own mathematical fairy tale in problem solving the pupils had to work with manipulatives to resolve problem solving in half classes. / Tack vare att jag fick undersöka olika undervisningssätt runt problemlösning i en årskurs 3, i en mångkulturell skola som ligger söder om Stockholm, har jag kunnat besvara min frågeställning i mitt examensarbete. Syftet med examensarbetet var att undersöka vilken undervisning som gynnar elever med annat modersmål än svenska att utveckla läsförståelsen och få en ökad förståelse för matematiska begrepp i problemlösningsuppgifter. I undersökningen har jag valt att själv undervisa eleverna för att kunna undersöka, komma fram till och få en djupare förståelse om vilken undervisning runt problemlösning som gynnar dessa elever. När det gäller mitt val av metod och materialinsamling har jag valt att utgå från en kvalitativ undersökning, där jag har använt mig av deltagande observationer och intervjuer.  Jag har i min undersökning kommit fram till att dessa elever med annat modersmål än svenska utvecklade läsförståelsen och fick en ökad förståelse för matematiska begrepp i problemlösningsuppgifter genom att undervisas i en kreativ och varierad undervisning. En kreativ och varierad undervisning som jag undervisade eleverna i bestod av: att eleverna fick arbeta med elevnära problemuppgifter eleverna fick arbeta med att lösa problemlösning i par eleverna fick arbeta med att lösa problemlösning i större grupper eleverna fick arbeta kreativt, genom att skriva och rita bilder och egna räknehändelser i problemlösning eleverna fick arbeta med laborativt medel för att kunna lösa problemuppgifter i halvklasser.

The subject of this thesis is the identification of strategies, which are used by lower-secondary school students when solving problem tasks in chemistry. The strategies were identified during talks with ninth-grade students. The talks conducted by using the Think-aloud method were connected with solution of selected problem tasks. The ascertained strategies were classified as expansive strategies (such strategy can be used to solve more types of problems) and limiting strategies (such strategy can be used to solve easy task, but they can fail when solving more difficult tasks). Furthermore, reader's strategies, which help students to understand the tasks were separately identified. Also, other problems that students had to face when solving the tasks were identified. To identify problematic elements a collection of problem tasks named Metodické komentáře a úlohy ke standardům pro základní vzdělávání - chemie (Methodical comments and tasks for educational standards for elementary education - chemistry) were used. The results showed that when students solved the tasks, which were larger and more difficult, they often used reading strategies, which consist in multiple reading and reading aloud. Some of the expansive strategies the students used consisted in analogous deducing and logical reasoning....

This thesis is focused on creating and using the nonverbal physical tasks for teaching Physics. Firstly the general look at Physics education at elementary schools is taken as well as examining of the possibilities of the motivating in teaching. Physical tasks typology, its importance and inclusion in the teaching process are described. This paper introduces with nonverbal physical tasks, with their creation and their possible solutions. The main part of this paper is to create nonverbal tasks including didactic analysis. Some of these tasks are tested in practice and evaluated for their applicability in physics teaching. Result of this testing is included in the thesis.

Tidigare studier har visat att matematiken i svenska skolan till övervägande del handlar om att räkna i läroboken samtidigt som det också påvisats att dessa i för låg utsträckning innehåller uppgifter som låter eleverna arbeta med problemlösning. Forskning menar att problemlösningsförmågan handlar om att ha en bred repertoar av strategier och en förståelse för hur dessa hänger samman och hur de kan användas. Förmågan förklaras som att kunna tänka kreativt och värdera sina kunskaper för att på bästa sätt angripa ett problem. För att utveckla detta måste eleverna få diskutera, konstruera egna problem och lösa problem på många sätt. De måste också få lösa många problem under en lång period. Denna studie har jämfört två läroböcker i årskurs fem som används i skolor och tittat på deras innehåll och uppbyggnad för att se hur de möjliggör utvecklingen av problemlösningsförmågan. Studien visade att båda läromedlen innehåller en låg andel matematiska problem och eleverna uppmanas att diskutera mycket lite. Eleverna ombeds aldrig att lösa ett problem på fler än ett sätt och bara i det ena läromedlet får eleverna träna på att skapa egna problem. Slutsatsen blev att båda läromedlen behöver kompletteras med annan undervisning om eleverna ska utveckla problemlösningsförmågan i matematik. / Previous studies have shown that mathematics in Swedish school for most part consists of calculating in the textbook when it at the same time has been proven that the textbooks in a too low extent contains tasks that allow the pupils to work with problem solving. Research mean that the problem-solving ability is about having a broad repertoire of strategies and an understanding for how these are associated and how they can be used. The ability is described as being able to think creatively and to evaluate one’s knowledges to tackle a problem as good as possible. To develop this, the pupils need to get the opportunity to discuss, create own problems and solve problems in many ways. They also must get to solve many problems during a long period of time. This study has compared two textbooks for grade five which are used in Swedish schools and has looked at their content and structure to see how they enable the development of the problem-solving ability. The study showed that both textbooks contain a low proportion of mathematical problems and the pupils are encouraged to discuss very little. The pupils are never asked to solve a problem in more than one way and only in one of the teaching materials the pupils get to practice making own problems. The conclusion was that both teaching materials need to be complemented by other education if the pupils are to develop the problem-solving ability in mathematics.

The aim of the thesis is to create a teaching portfolio with special attention to the educational content of Human Biology. Instructional manuals are created for teaching natural science at primary school and are focused on selected systems in Biology of the human being, which are: muscle system, breathing system, circulation system, digest system, sensuous system, and a chapter about nourishment. Regarding the present?day School educational programmes the teachers themselves choose the year in which they would teach the educational topics of Biology of the human being. The portfolio is drafted as the methodical aid for teachers and instructional activities for pupils that lead to improvement of teaching methods and better understanding particular terms and relations between the structure and function of human body. The educational portfolio consists of working sheets, practical tasks and tests that help to vary teaching methods and add a lot of matters of interest, physiology experiments and testing to the classical approach to teaching Human Biology.

This thesis discusses any potentialities and usage of nonverbal tasks for teaching Physics. It primarily analyses the general physical tasks and their position in teaching Physics and then nonverbal physical tasks and their application. For nonverbal tasks there is an emphasis not only on the solutions, but also on the aspects of creativity and on the advancement of divergent thinking of students. The thesis contains a set of created nonverbal tasks and their solutions. Some of tasks are processed to the worksheets and these worksheets were used for experimental verification of tasks. The experimental results are connected with this thesis and analyzed there. The aim of experiments is verification of ability of pupils to solve nonverbal tasks and their ability to identify dependencies between conventional approaches and nonverbal approaches.

This master's thesis deals with unusual applications tasks and problem tasks in teaching mathematics at the upper primary school as well as with their solving strategies. The whole work is build around an analysis of pupils' solutions of selected problem tasks. It was found that solving the tasks caused considerable troubles to a significant part of the pupils. The final part of the thesis contains a collection of problem tasks along with their solutions that is focused on teaching heuristic problem solving strategies and based on the analysis results.