Cognitive Activation in the Mathematics Classroom and Professional Competence of Teachers

Author: Mareike Kunter
Publisher: Springer Science & Business Media
ISBN: 1461451493
Format: PDF, Kindle
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This work reports the findings of the Professional Competence of Teachers, Cognitively Activating Instruction, and Development of Students ́ Mathematical Literacy project (COACTIV). COACTIV applies a broad, innovative conceptualization of teacher competence to examine how mathematics teachers’ knowledge, beliefs, motivational orientations, and self-regulation skills influence their instructional practice and teaching outcomes In this project data was collected on various aspects of teacher competence and classroom instruction from the perspective of both the teachers themselves and their students. Moreover, it gauges the effects of these teacher characteristics on student learning, as indexed by the progress students in each class. Questions addressed in the study which are reported in this volume include: What are the characteristics of successful teaching? What distinguishes teachers who succeed in their profession? How can the quality of instruction be improved?

Diagnostic Competence of Mathematics Teachers

Author: Timo Leuders
Publisher: Springer
ISBN: 3319663275
Format: PDF, ePub, Mobi
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This book examines the various areas of mathematics education and neighboring disciplines that have recently contributed to a better understanding of the still vague construct of diagnostic competence. The work addresses the nature, development and effect of diagnostic competence in mathematics instruction, with a focus on the professional development of teachers.

Student Centered Learning Environments in Higher Education Classrooms

Author: Sabine Hoidn
Publisher: Springer
ISBN: 1349949418
Format: PDF, Mobi
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This book aims to develop a situative educational model to guide the design and implementation of powerful student-centered learning environments in higher education classrooms. Rooted in educational science, Hoidn contributes knowledge in the fields of general pedagogy, and more specifically, higher education learning and instruction. The text will support instructors, curriculum developers, faculty developers, administrators, and educational managers from all disciplines in making informed instructional decisions with regard to course design, classroom interaction, and community building and is also of relevance to educators from other formal and informal educational settings aside from higher education.

Professional Error Competence of Preservice Teachers

Author: Eveline Wuttke
Publisher: Springer
ISBN: 3319526499
Format: PDF, Docs
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This book discusses competence, teacher competence, and professional error competence of teachers, and emphasizes the need for a training programme that supports the latter. The book starts out by presenting results from previous studies that underline the necessity to train professional error competence of teachers, especially in the field of accounting. The studies analysed include research in the field of accounting, and on the efficacy of teacher training. Next, considerations on training programmes are presented. From these analyses, a training programme was designed to support professional error competence in accounting. This training programme aims for increased knowledge about students’ errors (content knowledge) and offers strategies to handle these errors (pedagogical content knowledge). Both are central facets of professional error competence. The book describes the development, characteristics, implementation, and evaluation of this programme. It details the test platform that was developed and used for the assessment of professional error competence, and critically discusses the results from the evaluation of the training programme from various perspectives. The current discussion on teacher training and expertise is influenced by empirical results obtained in international large-scale studies such as PISA and TIMSS. The findings of the studies underpin the discussion on teaching quality and teachers’ professional competences. The key issue is that teacher competence has an impact on teaching quality and this, in turn, influences students’ achievements. International comparative studies reveal that teachers often lack central competence facets, and therefore it is assumed that standard teacher training programmes may fail to successfully prepare student teachers for their tasks. Therefore, customized training programmes are currently being discussed. Their focus is mostly on pedagogical content knowledge and classroom practices, because these competence facets are essential for teaching quality.

Competence based Vocational and Professional Education

Author: Martin Mulder
Publisher: Springer
ISBN: 3319417134
Format: PDF, Kindle
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This book presents a comprehensive overview of extant literature on competence-based vocational and professional education since the introduction of the competence concept in the 1950s. To structure the fi eld, the book distinguishes between three approaches to defi ning competence, based on 1.functional behaviourism, 2. integrated occupationalism, and 3. situated professionalism. It also distinguishes between two ways of operationalizing competence: 1. behaviour-oriented generic, and 2. task-oriented specifi c competence. Lastly, it identifi es three kinds of competencies, related to: 1. specific activities, 2. known jobs, and 3. the unknown future. Competence for the unknown future must receive more attention, as our world is rapidly evolving and there are many ‘glocal’ challenges which call for innovation and a profound transformation of policies and practices. Th e book presents a range of diff erent approaches to competence-based education, and demonstrates that competencebased education is a worldwide innovation, which is institutionalized in various ways. It presents the major theories and policies, specifi c components of educational systems, such as recognition, accreditation, modelling and assessment, and developments in discipline-oriented and transversal competence domains. Th e book concludes by synthesizing the diff erent perspectives with the intention to contribute to further improving vocational and professional education policy and practice. Joao Santos, Deputy Head of Unit C5, Vocational Training and Adult Education, Directorate General for Employment, Social Aff airs and Inclusion, European Commission: “This comprehensive work on competence-based education led by Martin Mulder, provides an excellent and timely contribution to the current debate on a New Skills Agenda for Europe, and the challenge of bridging the employment and education and training worlds closer together. Th is book will infl uence our work aimed at improving the relevance of vocational education to support initial and continuing vocational education and training policy and practice aimed at strengthening the key competencies for the 21st century.” Prof. Dr. Reinhold Weiss, Deputy President and Head of the Research, Federal Institute for Vocational Education and Training (BIBB), Bonn, Germany: “This book illustrates that the idea and concept of competence is not only a buzzword in educational debates but key to innovative pedagogical thinking as well as educational practice.” Prof. Dr. Johanna Lasonen, College of Education, University of South Florida, Tampa, USA: "Competence-based Vocational and Professional Education is one of the most important multi-disciplinary book in education and training. Th is path-breaking book off ers a timely, rich and global perspective on the fi eld. Th e book is a good resource for practitioners, policymakers and researchers."

Modeling Students Mathematical Modeling Competencies

Author: Richard Lesh
Publisher: Springer Science & Business Media
ISBN: 9400762712
Format: PDF, ePub, Docs
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Modeling Students’ Mathematical Modeling Competencies offers welcome clarity and focus to the international research and professional community in mathematics, science, and engineering education, as well as those involved in the sciences of teaching and learning these subjects.

Proceedings of the 13th International Congress on Mathematical Education

Author: Gabriele Kaiser
Publisher: Springer
ISBN: 3319625977
Format: PDF, ePub
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This book is open access under a CC BY 4.0 license. The book presents the Proceedings of the 13th International Congress on Mathematical Education (ICME-13) and is based on the presentations given at the 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 brought together about 3.500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. Directly before the congress activities were offered for 450 Early Career Researchers. The proceedings give a comprehensive overview on the current state-of-the-art of the discussions on mathematics education and display the breadth and deepness of current research on mathematical teaching-and-learning processes. The book introduces the major activities of ICME-13, namely articles from the four plenary lecturers and two plenary panels, articles from the five ICMI awardees, reports from six national presentations, three reports from the thematic afternoon devoted to specific features of ICME-13. Furthermore, the proceedings contain descriptions of the 54 Topic Study Groups, which formed the heart of the congress and reports from 29 Discussion Groups and 31 Workshops. The additional important activities of ICME-13, namely papers from the invited lecturers, will be presented in the second volume of the proceedings.

Mathematical Competencies in Mathematics Education

Author: Mogens Niss
Publisher: Springer
ISBN: 9783319036076
Format: PDF, ePub, Mobi
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This book provides an in-depth analysis of the use of a set of mathematical competencies to develop mathematics education. A previous analysis carried out for a Danish audience (Niss & Jensen, 2002) provides a central case study for analysis and discussion. Additional chapters describe the past, present and future of the competency approach to the development of mathematics education globally.

Posing and Solving Mathematical Problems

Author: Patricio Felmer
Publisher: Springer
ISBN: 3319280236
Format: PDF, Docs
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This book collects recent research on posing and solving mathematical problems. Rather than treating these two crucial aspects of school mathematics as separate areas of study, the authors approach them as a unit where both areas are measured on equal grounds in relation to each other. The contributors are from a vast variety of countries and with a wide range of experience; it includes the work from many of the leading researchers in the area and an important number of young researchers. The book is divided in three parts, one directed to new research perspectives and the other two directed to teachers and students, respectively.

Concept rich Mathematics Instruction

Author: Meir Ben-Hur
Publisher: ASCD
ISBN: 141660359X
Format: PDF, Docs
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Have you ever wondered why students too often have only a rudimentary understanding of mathematics, why even rich and exciting hands-on learning does not always result in "real" learning of new concepts? The answer lies in whether students have actually learned mathematical concepts, rather than merely memorizing facts and formulas. Concept-Rich Mathematics Instruction is based on the constructivist view that concepts are not simply facts to be memorized and later recalled, but rather knowledge that learners develop through an active process of adapting to new experiences. The teacher's role is critical in this process. When teachers prompt students to reflect on their experiences and report and answer questions verbally, students must re-examine and even revise their concepts of reality. Meir Ben-Hur offers expert guidance on all aspects of Concept-Rich Mathematics Instruction, including * Identifying the core concepts of the mathematics curriculum. * Planning instructional sequences that build upon concepts that students already understand. * Designing learning experiences that provoke thoughtful discussions about new concepts and prepare students to apply these concepts on their own. * Identifying student errors, particularly those caused by preconceptions, as important sources of information and as key instructional tools. * Conducting classroom dialogues that are rich in alternative representations. * Using a variety of formative assessment methods to reveal the state of students' learning. * Incorporating problem-solving activities that provoke cognitive dissonance and enhance students' cognitive competence. Concept-Rich Mathematics Instruction is grounded in the belief that all students can learn to think mathematically and solve challenging problems. If you're looking for a powerful way to improve students' performance in mathematics and move closer to fulfilling the NCTM standards, look no further: this approach provides the building blocks for constructing a first-class mathematics program.