Towards New Teaching in Mathematics How to Realize Inquiry Based and Problem Oriented Mathematics Lessons?

Дагмар Рааб Математиката е вълнуваща и забавна. Можем ли да убедим учениците, че това може да стане действителност. Задачите са най-важните инструменти за учителите по математика, когато планират уроците си. Планът трябва да съдържа идеи как да се очертае и как да се жалонира пътят, по който учениците ще стигнат до решението на дадена задача. Учителите не трябва да очакват от учениците си просто да кажат кой е отговорът на задачата, а да ги увлекат в процеса на решаване с подходящи въпроси. Ролята на учителя е да помогне на учениците • да бъдат активни и резултатни при решаването на задачи; • самите те да поставят задачи; • да модифицират задачи; • да откриват закономерности; • да изготвят стратегии за решаване на задачи; • да откриват и изследват различни начини за решаване на задачи; • да намират смислена връзка между математическите си знания и проблеми от ежедневието. В доклада са представени избрани и вече експериментирани примери за това как учители и ученици могат да намерят подходящ път към нов тип преживявания в преподаването и изучаването на училищната математика.

Inquiry-based science in a primary classroom : professional development impacting practice

The critical factor in determining students' interest and motivation to learn science is the quality of the teaching. However, science typically receives very little time in primary classrooms, with teachers often lacking the confidence to engage in inquiry-based learning because they do not have a sound understanding of science or its associated pedagogical approaches. Developing teacher knowledge in this area is a major challenge. Addressing these concerns with didactic "stand and deliver" modes of Professional Development (PD) has been shown to have little relevance or effectiveness, yet is still the predominant approach used by schools and education authorities. In response to that issue, the constructivist-inspired Primary Connections professional learning program applies contemporary theory relating to the characteristics of effective primary science teaching, the changes required for teachers to use those pedagogies, and professional learning strategies that facilitate such change. This study investigated the nature of teachers' engagement with the various elements of the program. Summative assessments of such PD programs have been undertaken previously, however there was an identified need for a detailed view of the changes in teachers' beliefs and practices during the intervention. This research was a case study of a Primary Connections implementation. PD workshops were presented to a primary school staff, then two teachers were observed as they worked in tandem to implement related curriculum units with their Year 4/5 classes over a six-month period. Data including interviews, classroom observations and written artefacts were analysed to identify common themes and develop a set of assertions related to how teachers changed their beliefs and practices for teaching science. When teachers implement Primary Connections, their students "are more frequently curious in science and more frequently learn interesting things in science" (Hackling & Prain, 2008). This study has found that teachers who observe such changes in their students consequently change their beliefs and practices about teaching science. They enhance science learning by promoting student autonomy through open-ended inquiries, and they and their students enhance their scientific literacy by jointly constructing investigations and explaining their findings. The findings have implications for teachers and for designers of PD programs. Assertions related to teaching science within a pedagogical framework consistent with the Primary Connections model are that: (1) promoting student autonomy enhances science learning; (2) student autonomy presents perceived threats to teachers but these are counteracted by enhanced student engagement and learning; (3) the structured constructivism of Primary Connections resources provides appropriate scaffolding for teachers and students to transition from didactic to inquiry-based learning modes; and (4) authentic science investigations promote understanding of scientific literacy and the "nature of science". The key messages for designers of PD programs are that: (1) effective programs model the pedagogies being promoted; (2) teachers benefit from taking the role of student and engaging in the proposed learning experiences; (3) related curriculum resources foster long-term engagement with new concepts and strategies; (4) change in beliefs and practices occurs after teachers implement the program or strategy and see positive outcomes in their students; and (5) implementing this study's PD model is efficient in terms of resources. Identified topics for further investigation relate to the role of assessment in providing evidence to support change in teachers' beliefs and practices, and of teacher reflection in making such change more sustainable.

Connecting Indigenous stories with geology : inquiry-based learning in a middle years classroom

One way to integrate indigenous perspectives in junior science is through links between indigenous stories of the local area and science concepts. Using local indigenous stories about landforms, a teacher of year 8 students designed a unit on geology that catered for the diverse student population in his class. This paper reports on the inquiry-based approach structured around the requirements of the Australian Curriculum highlighting the learning and engagement of students during the unit.

Enriching students’ intellectual diet through inquiry based learning

Traditionally, Science education has stressed the importance of teaching students to conduct ‘scientific inquiry’, with the main focus being the experimental model of inquiry used by real world scientists. Current educational approaches using constructivist pedagogy recognise the value of inquiry as a method for promoting the development of deep understanding of discipline content. A recent Information Learning Activity undertaken by a Grade Eight Science class was observed to discover how inquiry based learning is implemented in contemporary Science education. By analysing student responses to questionnaires and assessment task outcomes, the author was able to determine the level of inquiry inherent in the activity and how well the model supported student learning and the development of students’ information literacy skills. Although students achieved well overall, some recommendations are offered that may enable teachers to better exploit the learning opportunities provided by inquiry based learning. Planning interventions at key stages of the inquiry process can assist students to learn more effective strategies for dealing with cognitive and affective challenges. Allowing students greater input into the selection of topic or focus of the activity may encourage students to engage more deeply with the learning task. Students are likely to experience greater learning benefit from access to developmentally appropriate resources, increased time to explore topics and multiple opportunities to undertake information searches throughout the learning activity. Finally, increasing the cognitive challenge can enhance both the depth of students’ learning and their information literacy skills.

Pioneering use of narrative method in a first-year law course to provide an authentic, inquiry-based entry into the discipline of law

Law is saturated with stories. People tell their stories to lawyers; lawyers tell their client's stories to courts; and legislators develop regulation to respond to their constituent's stories of injustice or inequality. My approach to first-year legal education respects this narrative tradition. Both my curriculum design and assessment scheme in the compulsory first-year subject Australian Legal System deploy narrative methodology as the central teaching and learning device. Throughout the course, students work on resolving the problems of four hypothetical clients. Like a murder mystery, pieces of the puzzle come together as students learn more about legal institutions and the texts they produce, the process of legal research, the analysis and interpretation of primary legal sources, the steps in legal problem-solving, the genre conventions of legal writing style, the practical skills and ethical dimensions of professional practice, and critical inquiry into the normative underpinnings and impacts of the law. The assessment scheme mirrors this design. In their portfolio-based assignment, for example, students devise their own client profile, research the client's legal position and prepare a memorandum of advice.

The Investigation of the Ways in Which Gender Stereotypes are Perpetuated through Questioning and Assessment Strategies in Inquiry-Based Science Classroom

The purpose of this study was to investigate the questioning strategies of preservice teachers whenteaching science as inquiry. The guiding questions for this research were: In what ways do the questioning strategies of preservice teachers differ for male and female elementary students when teaching science as inquiry and how is Bloom’s Taxonomy evident within the questioning strategies of preservice teachers? Examination of the data indicated that participants asked a total of 4,158 questions to their elementary aged students. Of these questions, 974 (23%) were asked to boys, and 991 (24%) were asked to girls. The remaining questions (53%) were asked to the class as a whole, therefore no gender could be assigned to these questions. In relation to Bloom’s Taxonomy, 74% of the questions were basic knowledge, 15% were secondary comprehension, 2% were application, 4% were analysis, 1% were synthesis, and 3% were evaluation.

The Repairing of Misconceptions through the Use of Inquiry-Based Activities

Misconceptions exist in all fields of learning and develop through a person’s preconception of how the world works. Students with misconceptions in chemical engineering are not capable of correctly transferring knowledge to a new situation and will likely arrive at an incorrect solution. The purpose of this thesis was to repair misconceptions in thermodynamics by using inquiry-based activities. Inquiry-based learning is a method of teaching that involves hands-on learning and self-discovery. Previous work has shown inquiry-based methods result in better conceptual understanding by students relative to traditional lectures. The thermodynamics activities were designed to guide students towards the correct conceptual understanding through observing a preconception fail to hold up through an experiment or simulation. The developed activities focus on the following topics in thermodynamics: “internal energy versus enthalpy”, “equilibrium versus steady state”, and “entropy”. For each topic, two activities were designed to clarify the concept and assure it was properly grasped. Each activity was coupled with an instructions packet containing experimental procedure as well as pre- and post-analysis questions, which were used to analyze the effect of the activities on the students’ responses. Concept inventories were used to monitor students’ conceptual understanding at the beginning and end of the semester. The results did not show a statistically significant increase in the overall concept inventory scores for students who performed the activities compared to traditional learning. There was a statistically significant increase in concept area scores for “internal energy versus enthalpy” and “equilibrium versus steady state”. Although there was not a significant increase in concept inventory scores for “entropy”, written analyses showed most students’ misconceptions were repaired. Students transferred knowledge effectively and retained most of the information in the concept areas of “internal energy versus enthalpy” and “equilibrium versus steady state”.

Comparison of the effects of inquiry-based cooperative learning and demonstrations in science education

The reported research project involved studying how teaching science using demonstrations, inquiry-based cooperative learning groups, or a combination of the two methods affected sixth grade students’ understanding of air pressure and density. Three different groups of students were each taught the two units using different teaching methods. Group one learned about the topics through both demonstrations and inquirybased cooperative learning, whereas group two only viewed demonstrations, and group three only participated in inquiry-based learning in cooperative learning groups. The study was designed to answer the following two questions: 1. Which teaching strategy works best for supporting student understanding of air pressure and density: demonstrations, inquirybased labs in cooperative learning groups, or a combination of the two? 2. And what effect does the time spent engaging in a particular learning experience (demonstrations or labs) have on student learning? Overall, the data did not provide sufficient evidence that one method of learning was more effective than the others. The results also suggested that spending more time on a unit does not necessarily equate to a better understanding of the concepts by the students. Implications for science instruction are discussed.

The Socratic classroom : reflective thinking through collaborative inquiry

This book was written to serve two functions. First it is an exploration of what I have called Socratic pedagogy, a collaborative inquiry-based approach to teaching and learning suitable not only to formal educational settings such as the school classroom but to all educational settings. The term is intended to capture a variety of philosophical approaches to classroom practice that could broadly be described Socratic in form. The term ‘philosophy in schools’ is ambiguous and could refer to teaching university style philosophy to high school students or to the teaching of philosophy and logic or critical reasoning in senior years of high school. It is also used to describe the teaching of philosophy in schools generally. In the early and middle phases of schooling the term philosophy for children is often used. But this too is ambiguous as the name was adopted from Matthew Lipman’s Philosophy for Children curriculum that he and his colleagues at the Institute for the Advancement of Philosophy for Children developed. In Britain the term ‘philosophy with children’ is sometimes employed to mark two methods of teaching that have Socratic roots but have distinct differences, namely Philosophy for Children and Socratic Dialogue developed by Leonard Nelson. The use of the term Socratic pedagogy and its companion term Socratic classroom (to refer to the kind of classroom that employs Socratic teaching) avoids the problem of distinguishing between various approaches to philosophical inquiry in the Socratic tradition but also separates it from the ‘study of philosophy’, such as university style philosophy or other approaches which place little or no emphasis on collaborative inquiry based teaching and learning. The second function builds from the first. It is to develop an effective framework for understanding the relationship between what I call the generative, evaluative and connective aspects of communal dialogue, which I think are necessary to the Socratic notion of inquiry. In doing so it is hoped that this book offers some way to show how philosophy as inquiry can contribute to educational theory and practice, while also demonstrating how it can be an effective way to approach teaching and learning. This has meant striking a balance between speaking to philosophers and to teachers and educators together, with the view that both see the virtues of such a project. In the strictest sense this book is not philosophy of education, insofar as its chief focus is not on the analysis of concepts or formulation of definitions specific to education with the aim of formulating directives that guide educational practice. It relinquishes the role of philosopher as ‘spectator’, to one of philosopher ‘immersed in matter’ – in this case philosophical issues in education, specifically those related to philosophical inquiry, pedagogy and classroom practice. Put another way, it is a book about philosophical education.

First year industrial design studio-based teaching pedagogies and students’ engagement

Student engagement tends to be viewed as a reflection of learning processes, and in the context of first year university studies, it is a crucial means of an educational process that establishes the foundations for successful later year studies (Krausse and Coates, 2008). In the context of first year design studio teaching in higher education, fostering students’ positive engagement poses challenges to design educators as current trends set these design studios to be large size classes that makes difficult to manage and follow up students’ individual learning experiences. At QUT’s first year industrial design studio classes we engage in a variety of teaching pedagogies from which we identify two of them as instrumental vehicles to foster positive student engagement. Concept bombs and the field trip experience provide such platform as shown in student responses through a learning experience survey.

An inquiry-based learning (IBL) approach to molecular biology for biotechnology undergraduate students

Sin índice de impacto (2013)