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International Perspectives on Knowledge Integration
Interest in knowledge integration grew considerably in recent years, particularly within the realm of pre-service teacher education. However, studies on the topic conceptualize knowledge integration in diverse ways. For example, it may be conceived as a specific coherence-building learning process which involves not only acquiring but interrelating knowledge of different types (e.g., theoretical and practical) or from different domains, which together constitute a teacher’s or educational specialist’s professional knowledge base (e.g., content knowledge, pedagogical knowledge, pedagogical content knowledge, knowledge about using technologies for learning and instruction, etc.). Furthermo...
Epistemological Beliefs and Critical Thinking in Mathematics
Epistemological beliefs—i.e. beliefs on the nature of knowledge, its limits, sources, and justification—play an important role both in everyday life and in learning processes. This book comprises several studies dealing with such beliefs in the domain of mathematics; amongst others a qualitative interview study, and quantitative studies for which a new questionnaire has been developed. In this new instrument, belief position (e.g. “mathematical knowledge is certain” vs. “uncertain”) and belief argumentation (the way those positions are justified) are differentiated. Additionally, a test for mathematical critical thinking has been designed.The results show significant correlations between sophisticated belief argumentations and high scores in the critical thinking test, but no correlations regarding belief positions.
Psychology and Mathematics Education
Modern Mathematics is constructed rigorously through proofs, based on truths, which are either axioms or previously proven theorems. Thus, it is par excellence a model of rational inquiry. Links between Cognitive Psychology and Mathematics Education have been particularly strong during the last decades. Indeed, the Enlightenment view of the rational human mind that reasons, makes decisions and solves problems based on logic and probabilities, was shaken during the second half of the twentieth century. Cognitive psychologists discovered that humans' thoughts and actions often deviate from rules imposed by strict normative theories of inference. Yet, these deviations should not be called "erro...
The Evolution of Research on Teaching Mathematics
This open access book investigates current issues related to the evolution of research on teaching mathematics and examines up to thirty years of presage-process-product research (PPPR) in mathematics with respect to conceptualization, instrumentation, and design. The book discusses the theoretical and methodological challenges associated with PPPR, critically reviews current research, and explores the likely direction of further developments to identify future paths for research on high-quality mathematics teaching in the digital era. Subjects that are covered in this work focus on the relationships between 1) student learning outcomes measured upon completion of the mathematics teaching; 2...
Insights in Assessment, Testing, and Applied Measurement: 2022
As we enter the third decade of the 21st century, the field of education plays a more crucial role in understanding the contemporary world than ever before. Analyzing the role of education in leading and driving change through policy, practice, and constant innovation for a more inclusive education, whether it being educating students or teachers, is crucial in the development of new and improved education systems worldwide. To this end, Frontiers in Education is organizing a series of Research Topics to highlight the latest advancements in the field. This editorial initiative, led by Dr Gavin Brown, Specialty Chief Editor of the Assessment, Testing and Applied Measurement section, is focused on new insights, novel developments, current challenges, recent advances, and future perspectives in the field of assessment in education.
The Learning and Teaching of Mathematical Modelling
This book takes stock of the state of affairs of the teaching and learning of mathematical modelling with regard to research, development and practice. It provides a conceptual framework for mathematical modelling in mathematics education at all education levels, as well as the background and resources for teachers to acquire the knowledge and competencies that will allow them to successfully include modelling in their teaching, with an emphasis on the secondary school level. Mathematics teachers, mathematics education researchers and developers will benefit from this book. Expertly written and researched, this book includes a comprehensive overview of research results in the field, an expos...
The Computer Supported Collaborative Learning (CSCL) Conference 2013, Volume 2
The Computer Supported Collaborative Learning (CSCL) Conference 2013 proceedings, Volume 2
Practice-Oriented Research in Tertiary Mathematics Education
This edited volume presents a broad range of original practice-oriented research studies about tertiary mathematics education. These are based on current theoretical frameworks and on established and innovative empirical research methods. It provides a relevant overview of current research, along with being a valuable resource for researchers in tertiary mathematics education, including novices in the field. Its practice orientation research makes it attractive to university mathematics teachers interested in getting access to current ideas and results, including theory-based and empirically evaluated teaching and learning innovations. The content of the book is spread over 5 sections: The secondary-tertiary transition; University students' mathematical practices and mathematical inquiry; Research on teaching and curriculum design; University students’ mathematical inquiry and Mathematics for non-specialists.
Competence Assessment in Education
This book addresses challenges in the theoretically and empirically adequate assessment of competencies in educational settings. It presents the scientific projects of the priority program “Competence Models for Assessing Individual Learning Outcomes and Evaluating Educational Processes,” which focused on competence assessment across disciplines in Germany. The six-year program coordinated 30 research projects involving experts from the fields of psychology, educational science, and subject-specific didactics. The main reference point for all projects is the concept of “competencies,” which are defined as “context-specific cognitive dispositions that are acquired and needed to succ...
Modeling and Measuring Competencies in Higher Education
This publication focuses on competency orientation in higher education, illustrating international assessment practices for measuring student learning outcomes. For Germany, the Modeling and Measuring Competencies in Higher Education (KoKoHs) research program contributes exemplary approaches, and solutions to current challenges in higher education. KoKoHs models and tests can be used for entrance examination, formative and summative assessment of domain-specific and generic competencies and as a basis for developing new teaching-and-learning tools and formats promoting these competencies.
