Qualitative variation in approaches to university teaching and learning in large first-year classes

Research on teaching from a student learning perspective has identified two qualitatively different approaches to university teaching. They are an information transmission and teacher-focused approach, and a conceptual change and student-focused approach. The fundamental difference being in the former the intention is to transfer information to students, while in the latter the intention is to change and develop student understanding. Much of our research has been conducted in first-year classes of 100 or more students. The paper begins by outlining a model of teaching and learning based upon this research. It then reviews the quantitative research showing the relationship between teachers’ approaches to teaching in large classes and their students’ approaches to learning. Further analyses of previously collected data are used to identify the size of the relationship between teachers’ approaches and their students’ approaches. The paper concludes by discussing how a more conceptual change and student-focused approach can be manifested in large classes.     

Blended university teaching using virtual learning environments: conceptions and approaches

This paper reports findings from a phenomenographic investigation into blended university teaching using virtual learning environments (VLEs). Interviews with 25 Computer Science teachers in Greek universities illuminated a spectrum of teachers’ conceptions and approaches from ‘teacher-focused and content-oriented’, through ‘student-focused and content-oriented’, to ‘student-focused and process-oriented’. Using VLEs was described as a means of supporting: A—information transfer; B—application and clarification of concepts; C—exchange and development of ideas, and resource exploration and sharing; D—collaborative knowledge-creation, and development of process awareness and skills. The study suggests that pedagogical beliefs and circumstances underpinning face-to-face teaching are more influential in shaping approaches to blended VLE use than VLE system features. The authors propose that the findings could be used to inform educational enhancement initiatives and that there is a need for further discipline-focused research on blended teaching.     

Mediators of a Preservice Teacher’s Use of the Inquiry-Application Instructional Model

This paper reports on one preservice teacher’s use of the Inquiry-Application Instructional Model (I-AIM) to plan and teach an instructional sequence on photosynthesis to 5th-grade students. Analysis of the preservice teacher’s planned and enacted instructional sequences and interviews shows that the preservice teacher was successful in leveraging the conceptual change but not the inquiry aspects of the I-AIM. The mediators of this preservice teacher’s use of the I-AIM included her approach to teaching science, the curriculum materials she had available, and the meanings she made of the underlying frameworks. Understanding the mediators of preservice teachers’ uses of instructional models can inform teacher educators’ approaches to supporting preservice teachers in using instructional models for organizing science instructional sequences.     

Teachers’ Conceptions of Teaching, and the Making of Specific Decisions in Planning to Teach

Teachers’ conceptions of teaching, and broad approaches to teaching reported by teachers are both commonly found to range from teaching as information transmission, through to teaching as supporting students’ own knowledge constructions. Further, conceptions and approaches have been found to correlate, suggesting that there might be some functional relationship between conceptions and actual teaching practices. But in teacher conception research, participants are commonly asked in interview to reflect on teaching generally, and not to report on particular teaching episodes. The conceptions reported might thus actually be post hoc reflections on past experience, and not indications of detailed functional decision steps. In work reported here, teachers described their reasoning when planning recent teaching episodes. Were higher level conceptions of teaching directly involved in these teachers’ detailed planning, then some vestige of that might be expected to manifest. While student-centredness varied, teacher thinking during actual planning seemed more about contextually localised models of what students might do, than about evoking general conceptions of teaching. The constraints that this finding places on the interpretation of conceptions of teaching, and possible implications for teacher development, are discussed.     

Approaches to teaching in mainstream and separate postsecondary classrooms

The study examined attitudes toward teaching reported by university instructors who normally teach hearing students (with the occasional deaf or hard of hearing student) and by instructors who normally teach deaf and hard of hearing students at the same institution. Overall, a view of instruction as information transmission was associated with a teacher-focused approach to instruction, whereas viewing instruction as a means of promoting conceptual change was associated with a student-focused approach. Instructors in mainstream classrooms were more oriented toward information transmission than conceptual change, whereas instructors experienced in separate classrooms for deaf and hard of hearing students reported seeking to promote conceptual change in students and adopting more student-focused approaches to teaching. These results are consistent with previous findings concerning instructors' approaches to teaching and deaf and hard of hearing students' approaches to learning, and may help explain recent findings regarding student outcomes in separate versus mainstream secondary classrooms.     

Relations between teachers’ emotions in teaching and their approaches to teaching in higher education

This study investigated the relations between teachers’ emotions in teaching and their approaches to teaching in individual courses. It is derived from two fields of study that have hitherto been largely unconnected in higher education. While the research literature shows (a) a range of variables are related to the teaching approaches that teachers adopt and that these approaches are related to the quality of their students’ learning, and (b) that the emotional experience of teachers is an important factor in teaching, no studies have been reported on the connections between emotions and approaches in teaching in higher education. Two self-report questionnaires: the Approach to Teaching Inventory-Revised and the Emotions in Teaching Inventory, were completed by a sample of 175 Australian higher education teachers. The results suggest that there are significant relations between the ways teachers emotionally experience the context of teaching and the ways they approach their teaching, with positive emotions being associated with student-focused teaching approaches and negative emotions with transmission approaches. The relations help explain why new teaching strategies may not be successful or not even adopted.     

Qualified Pedagogical Reflection as a Way to Improve Mathematics Education

All changes of the character of education and improvement of its quality depend, in our view, particularly on the teacher. To be able to do their work efficiently, teachers have to be equipped with professional skills and dispositions, with “teachers’ competence”. For their professional growth, we consider indispensable competence in reflection, which is aimed at the teacher’s activities with regard to aspects of pedagogy and/or subject-didactics. From the point of view of the goals and content of their teaching and the methods of work (and their realisation), the development of teachers’ conscious self-reflection on their own teaching and systematic pursuance of joint reflection with other teachers and/or researchers can promote the teacher’s professional growth. In this paper, we show how a selected group of elementary school teachers reflected on their competence in the course of preparing, carrying out and analysing several instruction experiments. The paper is based on samples of teachers’ reflections and their gradual development from mere simple conversations based on intuitive perceptions, through searching for effective teaching approaches, to the deep assessment of mathematics teaching from the point of view of topics and their didactic elaboration and to suggestions for the teachers’ own experiments. May the teacher know what he teaches. May the teacher know how to teach. May the teacher be sincerely interested in teaching. Comenius     

The Interactions of Conceptions of Teaching Science and Environmental Factors to Produce Praxis in Three Novice Teachers of Science

One strategy for implementing learner-centered teaching is through the preparation of teachers and their induction into the profession. This article presents case studies of three secondary science teachers that follow them from their science teacher education program that advocated teaching for conceptual change as one approach to learner-centered teaching into their first years of teaching. The article’s purpose is to describe the teachers’ initial conceptions of teaching science carried over from their teacher preparation program, and how they integrated those conceptions with the environmental influences of their classrooms and schools to produce praxis. Data were collected from the participants in several different ways during the participants’ pre-service year and during their first year or two of teaching: Observation of the participants’ teaching; related interviews with participants; and their action research journals. As they approached the end of their first or second year of teaching, all three teachers demonstrated increased levels of confidence in their teaching competence, both in their classroom performance and their places in their departments and schools. None of them had, however, fully implemented conceptual change teaching approach that was the specific goal of their teacher preparation program.     

Explanations of attitudes to change: Colombian mathematics teachers’ conceptions of the crucial determinants of their teaching practices of beginning algebra

This article arises from a study whose overall purpose was to investigate the relationship between Colombian mathematics teachers’ conceptions of beginning algebra and their conceptions of their own teaching practices. The teachers’ understandings of their teaching practices were explored with a view to unravelling their conceptions of change in their teaching. Focusing on the perspectives of teachers afforded opportunities that exposed the powerful role that the teachers’ conceptions of social/institutional factors of teaching played in their conceptions of their practices. The degree to which the teachers attributed these (external) factors as crucial reasons for what they do in their teaching was the basis of a categorisation of their conceptions of the crucial determinants of their teaching practices into three types. The findings are particularly relevant to our understanding of the stability of mathematics teaching approaches in the Colombian context but have likely implications for a range of international education contexts. Specific implications for the development of the research into teachers’ conceptions of mathematics and its teaching, and for teacher education programmes are presented.

Measuring teachers’ content knowledge of language and reading

In the context of a longitudinal, four-year study of reading instruction in low-performing, high-poverty urban schools, we surveyed teacher knowledge of reading-related concepts, and established a modest predictive relationship between teachers’ knowledge, classroom reading achievement levels, and teachers’ observed teaching competence. There were significant associations among these variables at the third and fourth grade levels. To obtain this result, measures of teacher content knowledge in language and reading were refined in a three-stage process. Our purpose was to explore the type and level of questions that would begin to discriminate more capable from less capable teachers, and that would have a predictive relationship with student reading achievement outcomes. After experimenting with measurement of K-2 teachers’ content knowledge (Form #1), we piloted a Teacher Knowledge Survey with 41 second and third grade teachers in one study site (Form #2). We then refined and expanded the Survey (Form #3) and administered it to 103 third and fourth grade teachers in both project sites. Teachers’ misconceptions about sounds, words, sentences, and principles of instruction were pinpointed so that professional development could address teachers’ needs for insight and information about language structure and student learning.     

How Do Pre-Service Science Teachers’ Views on Science, Scientists, and Science Teaching Change Over Time in a Science Teacher Training Program?

Every aspect of teaching, including the instructional method, the course content, and the types of assessments, is influenced by teachers’ attitudes and beliefs. Teacher education programs play an important role in the development of beliefs regarding teaching and learning. The purpose of the study was to document pre-service teachers’ views on science, scientists, and science teaching as well as the relations between these views and the offered courses over several years spent in an elementary science teacher training program. The sample consisted of 145 pre-service elementary science teachers who were being trained to teach general science to students in the 6th through 8th grades. The research design was a cross-sectional study. Three different instruments were used to collect the data, namely, the “Draw a Scientist Test”, “Draw a Science Teacher Test”, and “Students’ Views about Science” tests. The elementary science teacher training program influenced pre-service science teachers’ views about science, scientists and science teaching to different degrees. The most pronounced impact of the program was on views about science teaching. Participants’ impressions of science teaching changed from teacher-centered views to student-centered ones. In contrast, participants’ views about scientists and science did not change much. This result could be interpreted as indicating that science teacher training programs do not change views about science and scientists but do change beliefs regarding teaching science.     

Development and Use of the Approaches to Teaching Inventory

This paper describes how research into approaches to university teaching, from a relational perspective, has been used to develop an inventory to measure the key aspects of the variation in approaches to teaching. The Approaches to Teaching Inventory (ATI) is one of several that derive from the research perspective applied by Marton and colleagues in Europe (Marton, F., Hounsell, D., and Entwistle, N. (eds.) (1997). The Experience of Learning, 2nd edn., Scottish Academic Press, Edinburgh) to student learning. A feature of these inventories is that they measure the response of a group to a particular context, rather than more general characteristics of individuals in that group. Studies using these inventories have consistently shown relations between students' approaches to learning and the quality of their learning outcome. The question of interest to many university teachers is whether there are relations between the way teachers approach their teaching and ways their students approach their learning. This question was answered in a study published in 1999 that used the ATI to show that teacher-focused approaches to teaching were associated with students' reproducing orientations. Subsequent research revealed that in subjects where teachers adopted more student-focused approaches to teaching, their students adopted a deeper approach to learning. Some recent research using the inventory is reviewed along with an analysis of the validity of the ATI. The current version of the inventory is reproduced in this paper.     

The power of Colombian mathematics teachers’ conceptions of social/institutional factors of teaching

In this paper I shall discuss data from a study on Colombian mathematics teachers’ conceptions of their own teaching practices of beginning algebra, which led to the development of a theoretical model of teachers’ thought structures designed as a thinking tool at the initial stage of the study. With a focus on the perspectives of teachers, the study investigated the relationship between the teachers’ conceptions of beginning algebra and their conceptions of their own teaching practices, with a view to unravelling their conceptions of change in their practices. Significant findings which threw light on the aforementioned relationship have been presented in Agudelo-Valderrama, Clarke and Bishop (2007), highlighting a direct association between a teacher’s conceptions of the nature of beginning algebra, the crucial determinants of her/his teaching practice, and her/his attitude to change. After an overview of the study, this paper focuses on specific evidence which clearly shows that in contrast to the strong relationship between a teacher’s conceptions of mathematics and her/his teaching practice, assumed in the theoretical model of teachers’ thought structures, the teachers see a strong relationship between their conceptions of social/institutional factors of teaching and what they do in their teaching. Implications of the findings for teacher education in Colombia are identified.

Phenomenographic pedagogy and a revised Approaches to teaching inventory

The Approaches to teaching inventory (ATI) is now being widely used as an instrument for formally monitoring approaches to teaching. A lesser‐known use is as a stimulant for discussion among groups of teachers to raise awareness of the variation in qualitatively different ways of approaching teaching. The phenomenographic origins of the ATI are consistent with these uses in academic development, both formative and summative. Following this increase in use, the validity and utility of the ATI were reviewed in 2003 using data from over 1600 teachers. We now summarize the outcomes of this review and report new results of the tests conducted on an expanded ATI with a further 318 academics. While the revised ATI maintains a focus on the qualitative variation in two key dimensions of teaching (a conceptual change/student‐focused approach and an information transfer/teacher‐focused approach), the number of items in those scales has now been increased. This version enhances those features of the original instrument that helped make it a useful trigger tool in ‘phenomenographic pedagogic’ discussion. Both phenomenographic pedagogy and the development of the ATI are discussed in this paper.     

A Cross-Analysis of the Mathematics Teacher’s Activity. An Example in a French 10th-Grade Class

The purpose of this paper is to contribute to the debate about how to tackle the issue of ‘the teacher in the teaching/learning process’, and to propose a methodology for analysing the teacher’s activity in the classroom, based on concepts used in the fields of the didactics of mathematics as well as in cognitive ergonomics. This methodology studies the mathematical activity the teacher organises for students during classroom sessions and the way he manages¹ the relationship between students and mathematical tasks in two approaches: a didactical one [Robert, A., Recherches en Didactique des Mathématiques 21(1/2), 2001, 7–56] and a psychological one [Rogalski, J., Recherches en Didactique des Mathématiques 23(3), 2003, 343–388]. Articulating the two perspectives permits a twofold analysis of the classroom session dynamics: the “cognitive route” students are engaged in—through teacher’s decisions—and the mediation of the teacher for controlling students’ involvement in the process of acquiring the mathematical concepts being taught. The authors present an example of this cross-analysis of mathematics teachers’ activity, based on the observation of a lesson composed of exercises given to 10th grade students in a French ‘ordinary’ classroom. Each author made an analysis from her viewpoint, the results are confronted and two types of inferences are made: one on potential students’ learning and another on the freedom of action the teacher may have to modify his activity. The paper also places this study in the context of previous contributions made by others in the same field.     

Views about Physics held by Physics Teachers with Differing Approaches to Teaching Physics

Physics teachers’ approaches to teaching physics are generally considered to be linked to their views about physics. In this qualitative study, the views about physics held by a group of physics teachers whose teaching practice was traditional were explored and compared with the views held by physics teachers who used conceptual change approaches. A particular focus of the study was teachers’ views about the role of mathematics in physics. The findings suggest the traditional teachers saw physics as discovered, close approximations of reality while the conceptual change teachers’ views about physics ranged from a social constructivist perspective to more realist views. However, most teachers did not appear to have given much thought to the nature of physics or physics knowledge, nor to the role of mathematics in physics.

A Framework for Analysis of Teachers’ Geometric Content Knowledge and Geometric Knowledge for Teaching

Current reform-driven mathematics documents stress the need for teachers to provide learning environments in which students will be challenged to engage with mathematics concepts and extend their understandings in meaningful ways (e.g., National Council of Teachers of Mathematics, 2000, Curriculum and evaluation standards for school mathematics. Reston, VA: The Council). The type of rich learning contexts that are envisaged by such reforms are predicated on a number of factors, not the least of which is the quality of teachers’ experience and knowledge in the domain of mathematics. Although the study of teacher knowledge has received considerable attention, there is less information about the teachers’ content knowledge that impacts on classroom practice. Ball (2000, Journal of Teacher Education, 51(3), 241–247) suggested that teachers’ need to ‘deconstruct’ their content knowledge into more visible forms that would help children make connections with their previous understandings and experiences. The documenting of teachers’ content knowledge for teaching has received little attention in debates about teacher knowledge. In particular, there is limited information about how we might go about systematically characterising the key dimensions of quality of teachers’ mathematics knowledge for teaching and connections among these dimensions. In this paper we describe a framework for describing and analysing the quality of teachers’ content knowledge for teaching in one area within the domain of geometry. An example of use of this framework is then developed for the case of two teachers’ knowledge of the concept ‘square’.     

Teaching experiments and professional development

The challenge that we address concerns teachers’ shifts toward student-centered instruction. We report on a yearlong professional development study in which two United States elementary school teachers engaged in a teaching experiment, as described by Steffe and Thompson (in: Lesh and Kelly (eds) Research on design in mathematics and science education, 2000). The teaching experiment involved close mathematical interactions with a pair of students after school, in the context of solving fractions tasks. By conducting a teaching experiment, we anticipated that each teacher would have more opportunity to develop insight into students’ mathematics. We also anticipated that these insights would influence the teachers’ classroom practice, even without explicit support for such a shift. Indeed, the teachers found that they began asking more probing questions of their students and spending more time listening to students’ explanations, but shifts to classroom practice were limited by constraining factors such an inflexible curriculum.     

Teaching teachers: An investigation of beliefs in teacher education students

Influenced by work on learner-centred education, teacher efficacy and teachers’ concerns, we conducted an investigation of the influence of 185 preservice teachers’ teacher efficacy and concerns on their learner-centred beliefs. Learner-centred beliefs were selected for the purposes of this study as the best indicator of future teaching actions because these preservice teachers had not yet entered the classroom or engaged in teaching practices. Preservice teacher efficacy and concerns, individually and collectively, significantly influenced learner-centred beliefs. These findings indicate that teacher education can facilitate the development of learner-centred beliefs by addressing these trainable characteristics and demonstrate the need to further explore both teacher efficacy and concerns as they relate to learner-centred education within teacher education programs.     

Relationship between teacher knowledge of concepts and connections, teaching practice, and student achievement in middle grades mathematics

The mixed method sequential nested study examines whether and how the cognitive type of teachers’ content knowledge is associated with student achievement, and correlated with teaching practice. In the context of this study, the cognitive type refers to the kind of teacher content knowledge and thinking processes required to accomplish a task successfully, in terms of knowledge of facts and procedures (Type 1), knowledge of concepts and connections (Type 2), and/or knowledge of models and generalizations (Type 3). A sample of 102 middle school mathematics teachers (grades 6–8) was assigned to the study from a number of school districts in an urban area in the Southwestern US. Teachers were tested using the Teacher Content Knowledge Survey. Student level data of about 2,400 middle grades students’ standardized test passing rates including percentage of students meeting the state standards by objectives were collected. The type of teachers’ content knowledge was assessed and tested for association with student achievement on the state-mandated standardized test using multivariate methods including tests for variance and independence. The nested research consisted of three phases. Substudy-1 focused on quantitative analysis of the association between cognitive type of teacher content knowledge and student achievement. Substudy-2 aimed at the correlation between cognitive type of teacher content knowledge and teaching practice. Finally, substudy-3 was a case study on examining middle grades mathematics teachers’ knowledge and understanding of fraction division.