Download or read book Teachers Perceptions of Risk when Teaching Mathematics Through Problem Solving written by Jon Eley and published by . This book was released on 2014 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ability of educational leaders to improve teaching and learning through affecting teachers' pedagogy is the primary goal of professional development (Ingvarson, Meiers, & Beavis, 2005). Teaching mathematics through problem solving is currently considered to be a highly effective approach to improving teaching and learning (National Council of Teachers of Mathematics, 2014a). Unfortunately, however, the notion of teaching as telling (speaking, explaining, demonstrating) rather than listening (hearing, seeing, interpreting) is still characteristic of most mathematics classrooms (Suurtamm & Vezina, 2010). Whether teachers embrace a change in pedagogy may depend on the risks teachers' perceive when considering new approaches in the classroom. The purpose of this study is to explore the risks perceived by mathematics teachers at a large New Zealand secondary school when asked about teaching mathematics through problem solving, investigations and higher order thinking (HOT) tasks. Using an explanatory sequential mixed methods design (Creswell, 2014) teachers were asked to complete questionnaires that recorded their willingness to comply and perceived risk when considering statements about their mathematics teaching. A purposeful sample of teachers then participated in semi-structured interviews. Analyses of these data indicate risks associated with assessment demands and of losing control are two main reasons why teachers may not have employed as much problem solving teaching in the classroom as they may advocate. One teacher, in contrast to the majority, explicitly claimed a perceived risk in not teaching through problem solving. Findings focus on implications for leaders regarding teacher professional learning to support the implementation of a change in pedagogy to a more problem solving approach. These approaches include attending to teachers' 'theories of action' (Argyris, 2002) and focusing heavily on shifting the fundamental beliefs teachers hold about how they should teach and how students learn (Ball, 1996). Teachers subject knowledge both in mathematical content and teaching pedagogy (Zehetmeier & Krainer, 2011) would have to be addressed through collaborative professional development that provided relevant resources and strong ongoing support.

Download or read book Teachers Perceptions of Ill posed Mathematical Problems written by Kin Pong Chung and published by . This book was released on 2018 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: By manipulating constraints and goals, this study had generated some ill-posed problems in “Fractions” which were packed into 2 mathematical tasks for teacher uses in an intended exploration of their perceived effectiveness of teaching mathematical problem-solving against their student responses through the lens of the theory of formative assessment. Each ill-posed problem was characterized by certain descriptive “instability” that users would have to define own sets of mathematical assumptions for problem-solving inquiries. 3 highly qualified, experienced, and trained mathematics teachers were purposefully recruited, and instructed to acquire and mark student responses without any prior teaching and intervention. Each of these teachers’ perceptions of ill-posed problems was acquired through a semi-structured clinical case-interview. All teachers in common demonstrated only individual singular mathematical problem-solving inquiries as major instructional adjustments during evaluation, even though individuals had ample opportunities in manipulating the described intention of each problem. Although some could realize inquiries from students being alternative to own used, not all would intend to change initial instructional plans of each problem and could design dedicated tasks in extending given problem-solving contexts for subsequent teaching and maintaining the described problem-solving intentions merely because of evaluation purposes. The resulting thick teacher perceptions were then analyzed by the Mayring’s (2015) Qualitative Content Analysis (QCA) method for exploring particularly those who could intend to influence and get influenced by students’ used mathematical assumptions in interviews. Certain unanticipated uses of assumptions of student individuals and groups were evidently found to have influenced cognitively some teachers’ further problem-solving inquiries at some interview instants and stimulated their perception changes. In the lack of subject implementation in mathematics education for the theory of “formative” assessment (Black & Wiliam, 2009), based on its definition, these instants should be put as their potential creations of and/or capitalizations upon certain asynchronous moments of contingency according to their planning of instructional adjustments for more comprehensive learning and definite growths of mathematical inquiries of students according to individuals’ needs of problem-solving. Due to QCA, these perception changes might be characterized by four certain inductively formed categories of scenarios of perceptions, which were summarized as 1) Evaluation Perception, 2) Assumption Expansion Perception, 3) Assumption Collection Perception, and 4) Intention Indecision Perception. These scenarios of perceptions might be used to explore teachers’ intentions, actions, and coherency in accounting for students’ used assumptions in mathematical inquiries for given problem-solving contexts and extensions of given intentions of mathematical inquiries, particularly in their designs of mathematical tasks. Teacher uses of ill-posed problems were shown to have provided certain evidences in implementing formative assessments which should substantiate a subject implementation of its theory in the discipline of mathematics education. Methodologically, the current study also substantiate how theory-guided designs of ill-posed problems as well as generic plain text analysis through QCA have facilitate effectiveness comparisons of instructional adjustments within a teacher, across different teachers, decided prior knowledge, students of prior mathematical learning experiences, and students in different levels of schooling and class size.

Download or read book Preservice Teachers Beliefs about Mathematical Problem Solving written by Fatma Kayan Fadlelmula and published by LAP Lambert Academic Publishing. This book was released on 2009-09 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study aimed to investigate pre-service elementary mathematics teachers' perceptions about mathematics problems and their beliefs about problem solving. The sample consisted of 244 senior undergraduate students studying in Elementary Mathematics Teacher Education programs at 5 different universities during the 2005-2006 academic years. The data were collected through a survey developed by the researcher. The results indicated that, in general, the pre-service teachers held positive beliefs about mathematical problem solving. However, they held several traditional beliefs about following predetermined sequence of steps while solving problems and the kind of problems emphasized in the new mathematics curriculum. Besides, they did not value problems that do not cover any topic in the curriculum, involve no number or take a long time to solve. In addition to these, the present study indicated that female and male pre-service teachers did not differ in terms of their beliefs about mathematical problem solving. However, the pre-service teachers' beliefs showed significant difference when the universities attended was concerned.

Download or read book Teachers Perceptions of Noncognitive and Metacognitive Factors that Influence Children s Mathematical Problem Solving written by Jill Diane O'Brien and published by . This book was released on 1997 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Problem Solving Yearbook 2009 Association Of Mathematics Educator written by Berinderjeet Kaur and published by World Scientific. This book was released on 2009-05-15 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first in the series of the yearbooks of the Association of Mathematics Educators in Singapore. It is highly unique as it addresses a focused theme of mathematics education. The chapters of the book illustrate the immense diversity within the theme and presents research that translates into classroom pedagogies.The chapters of the book illustrate how mathematical problems may be crafted and infused in classroom teaching. Several novel pedagogies, such as learning mathematics through productive failure, problem posing and generative activities are presented in the book. The chapters are comprehensive and laden with evidence-based examples for both mathematics educators and classroom teachers of mathematics. The book is an invaluable contribution towards the already established field of research of mathematical problem solving. It is also a must read for graduate research students and mathematics educators.

Download or read book Exploring Teacher Perceptions of the Development of Resilience in a Problem solving Mathematics Classroom written by Paveneet Braich and published by . This book was released on 2010 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Problem Solving in Mathematics Education written by Torsten Fritzlar and published by WTM-Verlag Münster. This book was released on 2016-06-30 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: From 3rd to 5th of September 2015 the 17th international ProMath conference (Problem Solving in Mathematics Education) took place at the Faculty of Education of the Martin Luther University Halle-Wittenberg (Germany). For the first time, it was combined with the annual meeting of the working group “Problem Solving” of the Society of Didactics of Mathematics. This book contains 20 peer reviewed articles of researchers from five European countries. The topics of the papers evolved around different areas of learning and problem solving. There are some theoretical papers on problem oriented mathematics instruction and specific aspects of problem solving and creativity as well as reports on detailed studies of problem solving processes of pupils and preservice teachers. Authors also present experiences with “real” problem solving instruction in different countries, considerations and teaching experiments on didactic concepts to foster pupils’ problem solving abilities, and they describe mathematically rich problem fields and their potentials for mathematical investigations in class. ProMath is a group of experienced and early career researchers in the field of mathematics education who are interested in investigating and fostering mathematical problem solving and problem oriented mathematics teaching.

Download or read book Lithographies Peintres non figuratifs Figuratifs et expressionnistes 2e vente written by and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Helping Children Learn Mathematics written by National Research Council and published by National Academies Press. This book was released on 2002-07-31 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.

Download or read book The Mathematical Education of Teachers II written by Conference Board of the Mathematical Sciences and published by American Mathematical Soc.. This book was released on 2012 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report is a resource for those who teach mathematics and statistics to PreK-12 mathematics teachers, both future teachers and those who already teach in our nation's schools. The report makes recommendations for the mathematics that teachers should know and how they should come to know that mathematics. It urges greater involvement of mathematicians and statisticians in teacher education so that the nation's mathematics teachers have the knowledge, skills, and dispositions needed to provide students with a mathematics education that ensures high school graduates are college- and career-ready as envisioned by the Common Core State Standards. This report draws on the experience and knowledge of the past decade to: Update the 2001 Mathematical Education of Teachers report's recommendations for the mathematical preparation of teachers at all grade levels: elementary, middle, and high school. Address the professional development of teachers of mathematics. Discuss the mathematical knowledge needed by teachers at different grade levels and by others who teach mathematics such as elementary mathematics specialists, special education teachers, and early childhood educators. Each of the MET II writers is a mathematician, statistician, or mathematics educator with substantial expertise and experience in mathematics education. Among them are principal investigators for Math Science Partnerships as well as past presidents and chairs of the American Statistical Association, Association of Mathematics Teacher Educators, Association of State Supervisors of Mathematics, Conference Board of the Mathematical Sciences, and National Council of Teachers of Mathematics. The audience for this report includes all who teach mathematics to teachers--mathematicians, statisticians, and mathematics educators--and all who are responsible for the mathematical education of teachers--department chairs, educational administrators, and policy-makers at the national, state, school-district, and collegiate levels.

Download or read book Teachers Perception on the Role and Effects of Problem Solving on Learners Learning in Mathematics in Senior Phases written by Masefako Dorah Monyeki and published by . This book was released on 2009 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Problem Posing and Problem Solving in Mathematics Education written by Tin Lam Toh and published by Springer Nature. This book was released on 2024-01-01 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents both theoretical and empirical contributions from a global perspective on problem solving and posing (PS/PP) and their application, in relation to the teaching and learning of mathematics in schools. The chapters are derived from selected presentations in the PS/PP Topical Study Group in ICME14. Although mathematical problem posing is a much younger field of inquiry in mathematics education, this topic has grown rapidly. The mathematics curriculum frameworks in many parts of the world have incorporated problem posing as an instructional focus, building on problem solving as its foundation. The juxtaposition of problem solving and problem posing in mathematics presented in this book addresses the needs of the mathematics education research and practice communities at the present day. In particular, this book aims to address the three key points: to present an overview of research and development regarding students’ mathematical problem solving and posing; to discuss new trends and developments in research and practice on these topics; and to provide insight into the future trends of mathematical problem solving and posing.

Download or read book The Teaching and Assessing of Mathematical Problem Solving written by National Council of Teachers of Mathematics and published by Routledge. This book was released on 1988 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Mathematics Enthusiast written by Bharath Sriraman and published by IAP. This book was released on 2015-10-01 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics Enthusiast (TME) is an eclectic internationally circulated peer reviewed journal which focuses on mathematics content, mathematics education research, innovation, interdisciplinary issues and pedagogy. The journal exists as an independent entity. It is published on a print?on?demand basis by Information Age Publishing and the electronic version is hosted by the Department of Mathematical Sciences? University of Montana. The journal is not affiliated to nor subsidized by any professional organizations but supports PMENA [Psychology of Mathematics Education? North America] through special issues on various research topics.

Download or read book Resources in Education written by and published by . This book was released on 1998 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book What s Your Math Problem Getting to the Heart of Teaching Problem Solving written by Gojak, Linda and published by Shell Education. This book was released on 2017-03-01 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dig into problem solving and reflect on current teaching practices with this exceptional resource. Meaningful instructional tools and methods are provided to help teachers understand each problem solving strategy and how to use it with their students. Teachers are given opportunities to practice problems themselves and reflect on how they can better integrate problem solving into their instruction. This resource supports College and Career Readiness Standards.

Download or read book Teaching and Learning Mathematical Problem Solving written by Edward A. Silver and published by Routledge. This book was released on 2013-04-03 with total page 671 pages. Available in PDF, EPUB and Kindle. Book excerpt: A provocative collection of papers containing comprehensive reviews of previous research, teaching techniques, and pointers for direction of future study. Provides both a comprehensive assessment of the latest research on mathematical problem solving, with special emphasis on its teaching, and an attempt to increase communication across the active disciplines in this area.