Cómo enseñar matemáticas en las primeras edades a partir de contextos de vida cotidiana = How to teach mathematics to young students based on everyday contexts

This paper stresses the importance of developing mathematical thought in young children based on everyday contexts, since these are meaningful learning situations with an interdisciplinary, globalised focus. The first part sets out the framework of reference that lays the theoretical foundations for these kinds of educational practices. The second part gives some teaching orientations for work based on everyday contexts. It concludes with the presentation of the activity 'We’re off to the cinema to learn mathematics!'

A brief introduction to molecular orbital theory of simple polyatomic molecules for undergraduate chemistry students

A simple, four-step method for better introducing undergraduate students to the fundamentals of molecular orbital (MO) theory of the polyatomic molecules H2O, NH3, BH3 and SiH4 using group theory is reported. These molecules serve to illustrate the concept of ligand group orbitals (LGOs) and subsequent construction of MO energy diagrams on the basis of molecular symmetry requirements.

Nursing Ethics Education in Finland from the Perspective of Codes of Ethics

The purpose of this study was to analyze nursing ethics education from the perspective of nurses’ codes of ethics in the basic nursing education programmes in polytechnics in Finland with the following research questions: What is known about nurses’ codes in practice and education, what contents of the codes are taught, what teaching and evaluation methods are used, which demographic variables are associated with the teaching, what is nurse educators’ adequacy of knowledge to teach the codes and nursing students’ knowledge of and ability to apply the codes, and what are participants’ opinions of the need and applicability of the codes, and their importance in nursing ethics education. The aim of the study was to identify strengths and possible problem areas in teaching of the codes and nursing ethics in general. The knowledge gained from this study can be used for developing nursing ethics curricula and teaching of ethics in theory and practice. The data collection was targeted to all polytechnics in Finland providing basic nursing education (i.e. Bachelor of Health Care). The target groups were all nurse educators teaching ethics and all graduating nursing students in the academic year of 2006. A total of 183 educators and 214 students from 24 polytechnics participated. The data was collected using a structured questionnaire with four open-ended questions, designed for this study. The data was analysed by SPSS (14.0) and the open-ended questions by inductive content analysis. Descriptive statistics were used to summarize the data. Inferential statistics were used to estimate the differences between the participant groups. The reliability of the questionnaire was estimated with Cronbach’s coefficient alpha. The literature review revealed that empirical research on the codes was scarce, and minimal in the area of education. Teaching of nurses’ codes themselves and the embedded ethical concepts was extensive, teaching of the functions of the codes and related laws and agreements was moderate, but teaching of the codes of other health care professions was modest. Issues related to the nurse-patient relationship were emphasised. Wider social dimensions of the codes were less emphasized. Educators’ and students’ descriptions of teaching emphasized mainly the same teaching contents, but there were statistically significant differences between the groups in that educators assessed their teaching to be more extensive than what students had perceived it had been. T he use of teaching and evaluation methods was rather narrow and conventional. However, educators’ and students’ descriptions of the used methods differed statistically significantly. Students’ knowledge of the codes and their ability to apply them in practice was assessed as mediocre by educators and by students themselves. Most educators assessed their own knowledge of the codes as adequate to teach the codes, as did most of the students. Educators who regarded their knowledge as adequate taught the codes more extensively than those who assessed their knowledge as less adequate. Also students who assessed their educators’ knowledge as adequate perceived the teaching of the codes to be more extensive. Otherwise educators’ and students’ demographic variables had little association with their descriptions of the teaching. According to the participants, nurses need their own codes, and they are also regarded as applicable in practice. The codes are an important element in nursing ethics education, but their teaching needs development. Further research should focus on the organization of ethics teaching in the curricula, the teaching process, and on the evaluation of the effectiveness of ethics education and on educators’ competence. Also the meaning and functions of the codes at all levels of nursing deserve attention. More versatile use of research methods would be beneficial in gaining new knowledge.

Tool-supported invariant-based programming

The development of correct programs is a core problem in computer science. Although formal verification methods for establishing correctness with mathematical rigor are available, programmers often find these difficult to put into practice. One hurdle is deriving the loop invariants and proving that the code maintains them. So called correct-by-construction methods aim to alleviate this issue by integrating verification into the programming workflow. Invariant-based programming is a practical correct-by-construction method in which the programmer first establishes the invariant structure, and then incrementally extends the program in steps of adding code and proving after each addition that the code is consistent with the invariants. In this way, the program is kept internally consistent throughout its development, and the construction of the correctness arguments (proofs) becomes an integral part of the programming workflow. A characteristic of the approach is that programs are described as invariant diagrams, a graphical notation similar to the state charts familiar to programmers. Invariant-based programming is a new method that has not been evaluated in large scale studies yet. The most important prerequisite for feasibility on a larger scale is a high degree of automation. The goal of the Socos project has been to build tools to assist the construction and verification of programs using the method. This thesis describes the implementation and evaluation of a prototype tool in the context of the Socos project. The tool supports the drawing of the diagrams, automatic derivation and discharging of verification conditions, and interactive proofs. It is used to develop programs that are correct by construction. The tool consists of a diagrammatic environment connected to a verification condition generator and an existing state-of-the-art theorem prover. Its core is a semantics for translating diagrams into verification conditions, which are sent to the underlying theorem prover. We describe a concrete method for 1) deriving sufficient conditions for total correctness of an invariant diagram; 2) sending the conditions to the theorem prover for simplification; and 3) reporting the results of the simplification to the programmer in a way that is consistent with the invariantbased programming workflow and that allows errors in the program specification to be efficiently detected. The tool uses an efficient automatic proof strategy to prove as many conditions as possible automatically and lets the remaining conditions be proved interactively. The tool is based on the verification system PVS and i uses the SMT (Satisfiability Modulo Theories) solver Yices as a catch-all decision procedure. Conditions that were not discharged automatically may be proved interactively using the PVS proof assistant. The programming workflow is very similar to the process by which a mathematical theory is developed inside a computer supported theorem prover environment such as PVS. The programmer reduces a large verification problem with the aid of the tool into a set of smaller problems (lemmas), and he can substantially improve the degree of proof automation by developing specialized background theories and proof strategies to support the specification and verification of a specific class of programs. We demonstrate this workflow by describing in detail the construction of a verified sorting algorithm. Tool-supported verification often has little to no presence in computer science (CS) curricula. Furthermore, program verification is frequently introduced as an advanced and purely theoretical topic that is not connected to the workflow taught in the early and practically oriented programming courses. Our hypothesis is that verification could be introduced early in the CS education, and that verification tools could be used in the classroom to support the teaching of formal methods. A prototype of Socos has been used in a course at Åbo Akademi University targeted at first and second year undergraduate students. We evaluate the use of Socos in the course as part of a case study carried out in 2007.

Teaching mathematics and programming : new approaches with empirical evaluation

Programming and mathematics are core areas of computer science (CS) and consequently also important parts of CS education. Introductory instruction in these two topics is, however, not without problems. Studies show that CS students find programming difficult to learn and that teaching mathematical topics to CS novices is challenging. One reason for the latter is the disconnection between mathematics and programming found in many CS curricula, which results in students not seeing the relevance of the subject for their studies. In addition, reports indicate that students' mathematical capability and maturity levels are dropping. The challenges faced when teaching mathematics and programming at CS departments can also be traced back to gaps in students' prior education. In Finland the high school curriculum does not include CS as a subject; instead, focus is on learning to use the computer and its applications as tools. Similarly, many of the mathematics courses emphasize application of formulas, while logic, formalisms and proofs, which are important in CS, are avoided. Consequently, high school graduates are not well prepared for studies in CS. Motivated by these challenges, the goal of the present work is to describe new approaches to teaching mathematics and programming aimed at addressing these issues: Structured derivations is a logic-based approach to teaching mathematics, where formalisms and justifications are made explicit. The aim is to help students become better at communicating their reasoning using mathematical language and logical notation at the same time as they become more confident with formalisms. The Python programming language was originally designed with education in mind, and has a simple syntax compared to many other popular languages. The aim of using it in instruction is to address algorithms and their implementation in a way that allows focus to be put on learning algorithmic thinking and programming instead of on learning a complex syntax. Invariant based programming is a diagrammatic approach to developing programs that are correct by construction. The approach is based on elementary propositional and predicate logic, and makes explicit the underlying mathematical foundations of programming. The aim is also to show how mathematics in general, and logic in particular, can be used to create better programs.

Parallella, dynamiska representationer i gymnasiefysiken : implementering av ett interaktivt datorverktyg i didaktiska situationer och uppfattning av effektivt lärande

The computer is a useful tool in the teaching of upper secondary school physics, and should not have a subordinate role in students' learning process. However, computers and computer-based tools are often not available when they could serve their purpose best in the ongoing teaching. Another problem is the fact that commercially available tools are not usable in the way the teacher wants. The aim of this thesis was to try out a novel teaching scenario in a complicated subject in physics, electrodynamics. The didactic engineering of the thesis consisted of developing a computer-based simulation and training material, implementing the tool in physics teaching and investigating its effectiveness in the learning process. The design-based research method, didactic engineering (Artigue, 1994), which is based on the theoryof didactical situations (Brousseau, 1997), was used as a frame of reference for the design of this type of teaching product. In designing the simulation tool a general spreadsheet program was used. The design was based on parallel, dynamic representations of the physics behind the function of an AC series circuit in both graphical and numerical form. The tool, which was furnished with possibilities to control the representations in an interactive way, was hypothesized to activate the students and promote the effectiveness of their learning. An effect variable was constructed in order to measure the students' and teachers' conceptions of learning effectiveness. The empirical study was twofold. Twelve physics students, who attended a course in electrodynamics in an upper secondary school, participated in a class experiment with the computer-based tool implemented in three modes of didactical situations: practice, concept introduction and assessment. The main goal of the didactical situations was to have students solve problems and study the function of AC series circuits, taking responsibility for theirown learning process. In the teacher study eighteen Swedish speaking physics teachers evaluated the didactic potential of the computer-based tool and the accompanying paper-based material without using them in their physics teaching. Quantitative and qualitative data were collected using questionnaires, observations and interviews. The result of the studies showed that both the group of students and the teachers had generally positive conceptions of learning effectiveness. The students' conceptions were more positive in the practice situation than in the concept introduction situation, a setting that was more explorative. However, it turned out that the students' conceptions were also positive in the more complex assessment situation. This had not been hypothesized. A deeper analysis of data from observations and interviews showed that one of the students in each pair was more active than the other, taking more initiative and more responsibilityfor the student-student and student-computer interaction. These active studentshad strong, positive conceptions of learning effectiveness in each of the threedidactical situations. The group of less active students had a weak but positive conception in the first iv two situations, but a negative conception in the assessment situation, thus corroborating the hypothesis ad hoc. The teacher study revealed that computers were seldom used in physics teaching and that computer programs were in short supply. The use of a computer was considered time-consuming. As long as physics teaching with computer-based tools has to take place in special computer rooms, the use of such tools will remain limited. The affordance is enhanced when the physical dimensions as well as the performance of the computer are optimised. As a consequence, the computer then becomes a real learning tool for each pair of students, smoothly integrated into the ongoing teaching in the same space where teaching normally takes place. With more interactive support from the teacher, the computer-based parallel, dynamic representations will be efficient in promoting the learning process of the students with focus on qualitative reasoning - an often neglected part of the learning process of the students in upper secondary school physics.

Du kan om du vill : lärares tankar om fostran till företagsamhet

The overall purpose of this dissertation is to better knowledge and understanding of enterprise education and investigate how such can be expressed in a school environment. The study’s research objective focuses on what teachers think and value about enterprise education and how they feel they are able to support students in their development towards an enterprising initiative. In the study’s theoretical background description, enterprise education, which was introduced into the Finnish national curriculum in 1994, is investigated outgoing from six so-named paths: linguistic, economic, educational-political, cultural, psychological, and the pedagogical, which is the main focus of the study. In the theoretical background, different characteristics have been identified; these are functional, social, and individual enterprise. The study’s empirical foundation consists of interviews with thirty teachers working at comprehensive and upper secondary schools. Two research efforts are combined: a phenomenographic and a phenomenological. In both efforts, a hermeneutic analysis takes place. Five principles that facilitate interpretation are presented and used: the indispensability of pre-understanding, the indispensability of the dimension of time, the indispensability of totality, the indispensability of negativism, and the indispensability of rationality. One study result is that teachers understand enterprise education as immanent, technical, and/or cooperative activity. The majority of teachers choose to emphasize that the purpose of activity is comprised of individual and social activity that is directed towards personal development, in contrast to functional enterprise, which is directed towards a technical form of activity and business-related, entrepreneurial knowledge. The question of how teachers understand the phenomenon is of significance for how they value it. The results also show that teachers’ abilities to reassess and change their manner are influenced by their knowledge/skills and awareness that they have of the interpretive possibilities that enterprise education manifests. In order to stimulate students to enterprising initiatives, teachers stress activity-promoting methods, authenticity, and an auspicious atmosphere in educational activities.

The cultural dimension in focus : promoting awareness of diversity and respect for difference in a Finland-Swedish EFL classroom

This study addresses the role of EFL education, its potential and shortcomings, and the challenges the future of EFL education will bring. It is argued that new societal demands and the limited time we have at our disposal in the classroom make it necessary to rethink goals and content and move away from the transmissionof limited sets of facts and information to helping students develop awareness and competences that can be applied in many different situations, also in a perspective of lifelong learning. The overall aim of the current study is to problematize and increase understanding of the implementation of cultural aspects in the language classroom by addressing the interrelated what, why and how of the cultural dimension within EFL education. This has been conducted by means of theoretical explorations into the area, alongside an attempt at promoting intercultural competence (IC) in a more systematic and insightful manner within my own educational praxis. The focus of the intercultural work in the classroom was on the promotion of awareness of difference and diversity, as well as respect for such difference through the ability to decenter from cultural norms and behavior that previously have been taken for granted. These are two elements that have been suggested as fundamental for other work with IC in the classroom and for the realization of important aspects of the underlying values of basic education. In the context of this study, IC comprises several interconnected components supportingeach other in a variety of ways, with the further aim being interaction with and respect for difference in general, not only concerning e.g. representatives ofcertain English-speaking communities. The methodology was informed by action research, with myself in the role of the teacher-researcher or the reflective practitioner. For the purpose of the project I was authorized to take on the EFL education for the three years of upper comprehensive school of one random class of students originally assigned to one of the language teachers of the selected Finland-Swedish school. Thus, the class of 17 students was not specifically chosen for the project, and the aims and contents chosen for the development project were placed within the framework of the ordinary curriculum. By exploring the students¿ insights concerning different English-speaking cultural groups, mainly through a set of questionnaires, it was possible to outline the work with the cultural dimension in the classroom for the following three years. Work progress was evaluated at specific stages, and the final project evaluations were conducted through individual student interviews in grade 9. The interviews were focused on possible development of students¿ insights concerning different aspects of the cultural dimension. In particular this concerned awareness of difference and diversity, including modification of stereotypes, as well as the ability to decenterin order to be better able to respect such difference. I also explored students¿ awareness and views of the activities and approaches used in class, as well asaffordances both inside and outside the EFL classroom in relation to these intended insights. A further focus area was the perceived relevance to students of different aspects of the cultural dimension. The frameworks and approaches adopted for the work in the classroom all have in common that they are based on a constructivist framework, where knowledge is constructed and reconstructed through interaction with one¿s social and cultural environment, including interaction with others. Reflective processes precede or are simultaneous with the learning of basic factual knowledge. This entails a view of learning as a progression from simple to more complex models rather than as a progression from facts to understanding and analysis. Here, the development of intercultural competence is seen asa cyclical process, or along a spiral curriculum, from simple to more complex levels through a combination of cognitive, affective and behavioral elements within a framework of experiential learning. This project has shown one possible wayforward concerning the development of intercultural competence within EFL education through a more systematic and comprehensive approach regarding linguistic and cultural aspects. The evaluation of the educational process explored in the study suggests the possibilities for work with the promotion of awareness of difference and diversity concerning some specific context that, based on students¿ prior knowledge and preconceptions, would benefit from further work. In this case, the specific context primarily concerned different aspects of both cultural and linguistic conditions in the UK. It is also suggested that many students developed the ability to decenter, described in the study as integral to being able to respect otherness. What still remains to be explored are more individualized approaches considering students¿ different levels of departure. Further work alsoneeds to be put into how to apply insights gained in these specific situations to more general contexts. It is also necessary to explore the use of the suggested approaches in a wider range of different contexts.

Det pedagogiska övervägandet : en uppmärksamhetsriktande studie i och genom humanvetenskaplig handlingsteori

Det övergripande syftet med avhandlingen är att bidra till en handlingsinriktad diskurs. Ambitionen är att rikta uppmärksamheten mot den pedagogiska övervägande handlingen genom att pröva konkreta exempel från en pedagogisk praktik mot en begreppsapparat inspirerad av den humanvetenskapliga handlingsteorin. Forskningsfrågorna lyder: Vad är en övervägande handling? Hur byggs den upp och vad förutsätter den? Bakgrunden till intresset att belysa den övervägande handlingen är en önskan att överbrygga klyftan mellan teori och praktik och att hitta ett sätt att samtala om ”tyst kunskap” och den konkreta pedagogiska verkligheten så att denna kan utvecklas på ett meningsfullt sätt. Förhållandet mellan intentionalitet och instrumentella handlingar är av särskilt intresse. Den aristoteliska begreppsapparaten som avser att belysa den mänskliga handlingen används i studien som både utgångspunkt och analysredskap. Retoriken ses som den vetenskap som kan beskriva och förklara hur vi skapar mening med hjälp av språket. Fyra fokussamtal med sammanlagt fem studerande på musikanimatörutbildningen genomfördes under vårterminen 2006. Referaten från samtalen bearbetades till en berättelse. I konstruktionen av berättelsen användes dels en fenomenologisk analys, dels narrativ bearbetning. De aristoteliska begreppen poíesis, praxis och theoria tillämpades och prövades på berättelsen varefter en retorisk analys genomfördes. Berättelsen visar två konkurrerande praxis. Utbildningen framstår i berättelsen dels som en horisontell ”alla kan”-utbildning, dels som en vertikal och lärarstyrd verksamhet. Berättelsen ger inte så många exempel på pedagogiska överväganden men tydliggör ändå den övervägande handlingen. Det pedagogiska övervägandet innebär ett väljande utifrån teoretiskt tänkbara och med praxis förenliga handlingsalternativ. Reflektion ingår i övervägandet men är inte detsamma som övervägande. Övervägandet är inte enbart en rationellt kalkylerande aktivitet. Holistiska och intuitiva procedurer är en viktig del i processen. Övervägande förutsätter dessutom ansvar.

In pursuit of an intercultural dimension in EFL-teaching : exploring cognitions among Finland-Swedish comprehensive school teachers

This thesis is about the educational purpose of foreign language teaching (FLT) in an increasingly internationalised world.The past 20-30 years have witnessed a fundamental rethinking of the aims of FLT, entailing a shift in emphasis from linguistic competence over communicative competence to intercultural competence. The growing emphasis on cultural issues, called for by research and international curricular documents, places new demandson language teachers. The overall aim of this study is to deepen the knowledge about the attitudes of teachers at the upper level of the Finland-Swedish comprehensive school towards the treatment of culture in English foreign language (EFL) teaching. The questions in focus are: 1) How do teachers interpret the concept"culture" in EFL-teaching?, 2) How do they specify the cultural objectives of their teaching? and 3) What do they do to attain these objectives? The thesis strives to reveal whether or not language teaching today can be describedas intercultural, in the sense that culture is taught with the aim of promotingintercultural understanding, tolerance and empathy. This abductive and largely exploratory study is placed within a constructivist and sociocultural framework,and is inspired by both phenomenography and hermeneutics. It takes its starting-point in language didactics, and can also be regarded as a contribution to teacher cognition research. The empirical data consists of verbatim transcribed interviews with 13 Finland-Swedish teachers of English at grades 7-9. The findings are presented according to three orientations and reviewed with reference to the 2004 Finnish National Framework Curriculum. Within the cognitive orientation, "culture" is perceived as factual knowledge, and the teaching of cultureis defined in terms of the transmission of knowledge, especially about Britain and the USA (Pedagogy of Information). Within the action-related orientation, "culture" is seen as skills of a social and socio-linguistic nature, andthe teaching aims at preparing the students for contacts with people from the target language areas (Pedagogy of Preparation). Within the affective orientation, which takes a more holistic approach, "culture" is seen as a bi-directional perspective. Students are encouraged to look at their own familiar culture from another perspective, and learn to empathise with and show respect for otherness in general, not just concerning representatives of English-speaking countries (Pedagogy of Encounter). Very few of the interviewed teachers represent the third approach, which is the one that can be characterised as truly intercultural. The study indicates that many teachers feel unsure about how to teach culture in an appropriate and up-to-date manner. This is attributed to, among other things, lack of teacher insights as well as lack of time and adequate material. The thesis ends with a set of recommendations as to how EFL could be developed ina more intercultural direction.

Conditions for EFL learning and professional development : Finland-Swedish learner and teacher perspectives

Engelskans dominerande roll som internationellt språk och andra globaliseringstrender påverkar också Svenskfinland. Dessa trender påverkar i sin tur förutsättningarna för lärande och undervisning i engelska som främmande språk, det vill säga undervisningsmålen, de förväntade elev- och lärarroller, materialens ändamålsenlighet, lärares och elevers initiala erfarenheter av engelska och engelskspråkiga länder. Denna studie undersöker förutsättningarna för lärande och professionell utveckling i det svenskspråkiga nybörjarklassrummet i engelska som främmande språk. Utgångsläget för 351 nybörjare i engelska som främmande språk och 19 av deras lärare beskrivs och analyseras. Resultaten tyder på att engelska håller på att bli ett andraspråk snarare än ett traditionellt främmande språk för många unga elever. Dessa elever har också goda förutsättningar att lära sig engelska utanför skolan. Sådan var dock inte situationen för alla elever, vilket tyder på att det finns en anmärkningsvärd heterogenitet och även regional variation i det finlandssvenska klassrummet i engelska som främmande språk. Lärarresultaten tyder på att vissa lärare har klarat av att på ett konstruktivt sätt att tackla de förutsättningar de möter. Andra lärare uttrycker frustration över sin arbetssituation, läroplanen, undervisningsmaterialen och andra aktörer som kommer är av betydelse för skolmiljön. Studien påvisar att förutsättningarna för lärande och undervisning i engelska som främmande språk varierar i Svenskfinland. För att stöda elevers och lärares utveckling föreslås att dialogen mellan aktörer på olika nivå i samhället bör förbättras och systematiseras.

På spaning efter den goda läroboken : om pedagogiska texters lärande potential

By interpreting research results about textbooks this study tries to answer the question: how should texts be formulated to optimize the learning of the reading pupil? Seven perspectives structure the research: History. The amount of information available in a society influences the learning offered by textbooks. A compressed description indicates that memorizing activities have turned to tendencies for critical reading. Curriculum. The decentralization of curriculum development accentuates the importance of the textbook authors as interpreters of significant information. Because of the authority of textbooks, the way that information is presented can function as an unintended curriculum. Use. In the use of textbooks different functions can be identified. Thus the textbooks have, for instance, an authoritarian, a cohesive and a disciplinary function. Level of difficulty. A text that optimally matches the skills of the readers ina class should both provide facilitating scaffolds for the learning and at the same time challenge especially capable students by not being too obvious. Changing of preconceptions. The only possible starting point for teaching is the knowledge developed earlier by the student. In certain areas misconceptions are usual, which motivates the use of conceptual change texts that enhance the transformation of earlier obtained knowledge. Coherence. Well structured texts can usually be considered beneficial for learning. The same applies to the use of meta-discourse guiding the reader through the text. If the structuring is too obvious, the content may not, at least by capable students, be processed on a deep level. Content. The analysis underlines the need for deep approaches in textbooks. Though this is a relative statement, textbooks from a learning perspective seem to have been too superficial in their presentations. Ten principles were developed as a concluding interpretation of the good textbook. Though these principles capture important tendencies for developing a good textbook, textbook writing has to be considered as an art that cannot be captured in a short formula. The paradoxes identified indicate that the results should be seen as a starting point for further research.

Under ytan, vid ytan och ovanför ytan : analys av tanken bakom tre läromedel i slöjd

This thesis is based on the personal experience gained related to the planning and production of three web-based teaching materials for the teaching subject knownas sloyd at the comprehensive school in Finland. After the teaching materials had been produced and published on the Internet at the Finnish textile teachers' website KässäBoxi, the idea for this thesis emanated from the questions: Why do the three teaching materials look the way they do and why do other textile teachers comment that they are different? In earlier sloyd educational research it has been stated that a scientific paradigm affects the individual ideology of a sloyd teacher. The aimfor my doctoral thesis is to continue on the topic. As the area of interest comprises the thought behind three teaching materials in sloyd, the aim of the thesis is to show how teaching and educational ideologies in sloyd appear in the teaching materials at hand. The research approach has parallels to research about another, tangible phenomena, namely the iceberg. In a similar way as an iceberg, a teaching material has a profound base, but the base is not always completely visible to the user of the teaching material. In this thesis I strive to show what there is under the surface, on the surface and above the surface of three teaching materials in sloyd. The research approach is defined as qualitative and phenomenologic-hermeneutic. The analysis results in knowledge about how the producer of a teaching material affects the character of a teaching material by choices concerning for example the form, structure, language and illustrations of the teaching material. The analysis also shows how the producers' individual educational and teaching ideologies within the teaching subject at hand appear by means of traces concerning the view on the pupil and the teacher, and the view on planning and conducting teaching in sloyd. The thesis also results in knowledge about how sloyd educational scientific theories and demands from society, as they are stated in the national core curriculum, appear in the three teaching materials. The application of the sloyd educational scientific theory of individual sloyd activity as a holistic educative system is also widened in the thesis. This thesis contributes to future research on producing teaching materials by information about what aspects a producer of teaching materials needs to consider and how the aspects become visible in the teaching materials. This kind of knowledge is valuable to teacher students in sloyd, to teachers in sloyd who intend to plan and produce teaching materials and to teachers who tutor the planning and production of teaching materials.