Mathematical Connections by Inservice Teachers Using Concept Mapping

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Publisher :
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.:/5 (268 download)

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Book Synopsis Mathematical Connections by Inservice Teachers Using Concept Mapping by : Bobbye Hoffman Bartels

Download or read book Mathematical Connections by Inservice Teachers Using Concept Mapping written by Bobbye Hoffman Bartels and published by . This book was released on 1991 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Concept Mapping in Mathematics

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387891943
Total Pages : 339 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Concept Mapping in Mathematics by : Karoline Afamasaga-Fuata'i

Download or read book Concept Mapping in Mathematics written by Karoline Afamasaga-Fuata'i and published by Springer Science & Business Media. This book was released on 2009-04-21 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concept Mapping in Mathematics: Research into Practice is the first comprehensive book on concept mapping in mathematics. It provides the reader with an understanding of how the meta-cognitive tool, namely, hierarchical concept maps, and the process of concept mapping can be used innovatively and strategically to improve planning, teaching, learning, and assessment at different educational levels. This collection of research articles examines the usefulness of concept maps in the educational setting, with applications and examples ranging from primary grade classrooms through secondary mathematics to pre-service teacher education, undergraduate mathematics and post-graduate mathematics education. A second meta-cognitive tool, called vee diagrams, is also critically examined by two authors, particularly its value in improving mathematical problem solving. Thematically, the book flows from a historical development overview of concept mapping in the sciences to applications of concept mapping in mathematics by teachers and pre-service teachers as a means of analyzing mathematics topics, planning for instruction and designing assessment tasks including applications by school and university students as learning and review tools. This book provides case studies and resources that have been field tested with school and university students alike. The findings presented have implications for enriching mathematics learning and making problem solving more accessible and meaningful for students. The theoretical underpinnings of concept mapping and of the studies in the book include Ausubel’s cognitive theory of meaningful learning, constructivist and Vygotskian psychology to name a few. There is evidence particularly from international studies such as PISA and TIMSS and mathematics education research, which suggest that students’ mathematical literacy and problem solving skills can be enhanced through students collaborating and interacting as they work, discuss and communicate mathematically. This book proposes the meta-cognitive strategy of concept mapping as one viable means of promoting, communicating and explicating students’ mathematical thinking and reasoning publicly in a social setting (e.g., mathematics classrooms) as they engage in mathematical dialogues and discussions. Concept Mapping in Mathematics: Research into Practice is of interest to researchers, graduate students, teacher educators and professionals in mathematics education.

Concept Mapping as an Assessment Tool for Conceptual Understanding in Mathematics

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Author :
Publisher : Taylor & Francis
ISBN 13 : 1000585611
Total Pages : 223 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Concept Mapping as an Assessment Tool for Conceptual Understanding in Mathematics by : Haiyue JIN

Download or read book Concept Mapping as an Assessment Tool for Conceptual Understanding in Mathematics written by Haiyue JIN and published by Taylor & Francis. This book was released on 2022-05-05 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates the practicability and effectiveness of the concept map as a tool for assessing students’ conceptual understanding in mathematics. The author first introduces concept mapping and then employs it to investigate students’ conceptual understanding of four different mathematical topics. Alongside traditional scoring methods, she adopts Social Network Analysis, a new technique, to interpret student-constructed concept maps, which reveals fresh insights into the graphic features of the concept map and into how students connect mathematical concepts. By comparing two traditional school tests with the concept map, she examines its concurrent validity and discusses its strengths and drawbacks from the viewpoint of assessing conceptual understanding. With self-designed questionnaires, interviews, and open-ended writing tasks, she also investigates students and teachers’ attitudes toward concept mapping and describes the implications these findings may have for concept mapping’s use in school and for further research on the topic. Scholars and postgraduate students of mathematics education and teachers interested in concept mapping or assessing conceptual understanding in classroom settings will find this book an informative, inspiring, and overall valuable addition to their libraries.

Examining and Promoting Mathematical Connections with Concept Mapping

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Publisher :
ISBN 13 :
Total Pages : 634 pages
Book Rating : 4.:/5 (349 download)

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Book Synopsis Examining and Promoting Mathematical Connections with Concept Mapping by : Bobbye J. Bartels

Download or read book Examining and Promoting Mathematical Connections with Concept Mapping written by Bobbye J. Bartels and published by . This book was released on 1995 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: This exploratory study examined the way students make mathematical connections and the efficacy of using concept mapping as a tool for promoting connections explicitly during instruction. Nineteen students in an elementary mathematics methods course constructed group concept maps for five topics covered in the course. In this study, concept maps were used as a research tool and as an instructional tool. Interpretive analysis of the concept maps constructed by cooperative groups ($n=5$) and the protocols of student discussion showed that four themes affected the connections students made: compatibility with prior knowledge, explicitness and frequency of the connection, consistency in terminology and presentation, and recency of the connection. These themes were found interwoven through the students' prior knowledge, the course textbook, class discussion, and concept mapping. Complexity in mathematics terminology interfered with students' connection-making, especially when coupled with their prior knowledge about a concept. Additionally, when students observed physical models of geometric solids they made better connections, as long as the models were discussed adequately. Written explanations of mathematics concepts in the form of writing assignments and unit lesson plans were assigned to measure the number and kind of connections the preservice teachers might use during instruction. The number of connections on group concept maps correlated positively with the number of concept-to-concept connections in the writing assignments and unit lesson plans. Students used more concept-to-concept connections than any other kind, but they used more concept-to-manipulative and concept-to-real world connections with lower grade-level topics than with higher grade-level topics. An additional effect of concept mapping was observed as students' understanding of what it means to make connections grew during the semester to include a greater variety of connections. The study contributed to the growing literature about how students make connections when constructing mathematical knowledge. Additionally, it concludes that concept mapping has value as an instructional tool for promoting explicit mathematical connections and for improving preservice elementary teachers' understanding of mathematical connections.

Concept Mapping by Preservice Elementary Teachers

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Author :
Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.:/5 (338 download)

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Book Synopsis Concept Mapping by Preservice Elementary Teachers by : Diane Thistle Weinholtz

Download or read book Concept Mapping by Preservice Elementary Teachers written by Diane Thistle Weinholtz and published by . This book was released on 1995 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Concept Mapping in Mathematics

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Author :
Publisher : Springer
ISBN 13 : 9780387891934
Total Pages : 220 pages
Book Rating : 4.8/5 (919 download)

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Book Synopsis Concept Mapping in Mathematics by : Karoline Afamasaga-Fuata'i

Download or read book Concept Mapping in Mathematics written by Karoline Afamasaga-Fuata'i and published by Springer. This book was released on 2009-03-05 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concept Mapping in Mathematics: Research into Practice is the first comprehensive book on concept mapping in mathematics. It provides the reader with an understanding of how the meta-cognitive tool, namely, hierarchical concept maps, and the process of concept mapping can be used innovatively and strategically to improve planning, teaching, learning, and assessment at different educational levels. This collection of research articles examines the usefulness of concept maps in the educational setting, with applications and examples ranging from primary grade classrooms through secondary mathematics to pre-service teacher education, undergraduate mathematics and post-graduate mathematics education. A second meta-cognitive tool, called vee diagrams, is also critically examined by two authors, particularly its value in improving mathematical problem solving. Thematically, the book flows from a historical development overview of concept mapping in the sciences to applications of concept mapping in mathematics by teachers and pre-service teachers as a means of analyzing mathematics topics, planning for instruction and designing assessment tasks including applications by school and university students as learning and review tools. This book provides case studies and resources that have been field tested with school and university students alike. The findings presented have implications for enriching mathematics learning and making problem solving more accessible and meaningful for students. The theoretical underpinnings of concept mapping and of the studies in the book include Ausubel’s cognitive theory of meaningful learning, constructivist and Vygotskian psychology to name a few. There is evidence particularly from international studies such as PISA and TIMSS and mathematics education research, which suggest that students’ mathematical literacy and problem solving skills can be enhanced through students collaborating and interacting as they work, discuss and communicate mathematically. This book proposes the meta-cognitive strategy of concept mapping as one viable means of promoting, communicating and explicating students’ mathematical thinking and reasoning publicly in a social setting (e.g., mathematics classrooms) as they engage in mathematical dialogues and discussions. Concept Mapping in Mathematics: Research into Practice is of interest to researchers, graduate students, teacher educators and professionals in mathematics education.

Using Concept Mapping to Foster Adaptive Expertise

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Publisher : Educational Psychology
ISBN 13 : 9781433122699
Total Pages : 0 pages
Book Rating : 4.1/5 (226 download)

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Book Synopsis Using Concept Mapping to Foster Adaptive Expertise by : Diane Salmon

Download or read book Using Concept Mapping to Foster Adaptive Expertise written by Diane Salmon and published by Educational Psychology. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Salmon and Kelly provide a research-based framework and corresponding strategies to help teachers develop, critique, and revise their concept maps. In using this approach, teachers refine knowledge for teaching in order to expand their adaptive expertise and ultimately improve the academic performances of their students.

The Case for STEM Education

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Publisher : NSTA Press
ISBN 13 : 1936959259
Total Pages : 130 pages
Book Rating : 4.9/5 (369 download)

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Book Synopsis The Case for STEM Education by : Rodger W. Bybee

Download or read book The Case for STEM Education written by Rodger W. Bybee and published by NSTA Press. This book was released on 2013 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: "If you are interested in STEM education, policies, programs or practices, or you work on STEM in some capacity at any level, The case for STEM education will prove to be valuable reading. Author Rodger W. Bybee has written this book to inspire individuals in leadership roles to better understand and take action on STEM initiatives. The book's 10 chapters accomplish several tasks: Put STEM in context by outlining the challenges facing STEM education, drawing lessons from the Sputnik moment of the 1950s and 1960s, and contrasting contemporary STEM with other education reforms; Explore appropriate roles for the federal government, as well as states, districts, and individual schools; Offer several ideas and recommendations you can use to develop action plans for STEM. With an emphasis on both thinking and acting, The case for STEM education is a must-read for leaders at all levels: national and state policy makers, state-level educators responsible for STEM initiatives, college and university faculty who educate future STEM teachers, local administrators who make decisions about district and school programs, and teachers who represent STEM disciplines." - Back cover.

Work Smarter, Not Harder

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Publisher : Rowman & Littlefield
ISBN 13 : 1475853815
Total Pages : 139 pages
Book Rating : 4.4/5 (758 download)

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Book Synopsis Work Smarter, Not Harder by : Teruni Lamberg

Download or read book Work Smarter, Not Harder written by Teruni Lamberg and published by Rowman & Littlefield. This book was released on 2019-11-08 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: Help your students learn math and get results by working smarter, not harder! This book provides a research-based, classroom-tested framework that helps make teaching easier. Learn how to design your classroom physical space, develop productive routines, plan effective lessons and facilitate meaningful discussions by using formative assessment to help students learn. This framework naturally integrates the Standards for Mathematical Practice in the Common Core Standards into the process of teaching. Spend your time working smarter not harder to get results in student learning! This book is perfect for individual teachers, Professional Learning Communities (PLC’s), math coaches, for pre-service or in-service math methods courses.

Exploring Teacher's Perceptions of Concept Mapping as a Teaching Strategy in Science [microform] : an Action Research Approach

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Publisher : Library and Archives Canada = Bibliothèque et Archives Canada
ISBN 13 : 9780612942912
Total Pages : 494 pages
Book Rating : 4.9/5 (429 download)

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Book Synopsis Exploring Teacher's Perceptions of Concept Mapping as a Teaching Strategy in Science [microform] : an Action Research Approach by : Catherine Anne Marks Krpan

Download or read book Exploring Teacher's Perceptions of Concept Mapping as a Teaching Strategy in Science [microform] : an Action Research Approach written by Catherine Anne Marks Krpan and published by Library and Archives Canada = Bibliothèque et Archives Canada. This book was released on 2004 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: In order to promote science literacy in the classroom, students need opportunities in which they can personalize their understanding of the concepts they are learning. Current literature supports the use of concept maps in enabling students to make personal connections in their learning of science. Because they involve creating explicit connections between concepts, concept maps can assist students in developing metacognitive strategies and assist educators in identifying misconceptions in students' thinking. The literature also notes that concept maps can improve student achievement and recall. In an effort to explore concept mapping from the perspective of elementary educators, an action research group of 5 educators and myself was established and met regularly from September 1999 until June 2000. All of the educators taught in the Toronto area. These teachers were interested in exploring how concept mapping could be used as a learning tool in their science classrooms. In summary, this study explores the journey of five educators and myself as we engaged in collaborative action research. This study sets out to: (1) Explore how educators believe concept mapping can facilitate teaching and student learning in the science classroom. (2) Explore how educators implement concept mapping in their classrooms. (3) Identify challenges educators experience when they implement concept mapping. (4) Explore factors that impact on facilitating collaborative action research. (5) Provide insight into my growth as an action research facilitator. Much of the current literature focuses primarily on concept mapping at the secondary and university levels, with limited focus on the elementary panel. The research rarely considers teachers' thoughts and ideas about the concept mapping process. In order to effectively explore concept mapping from the perspective of elementary teachers, I felt that an action research approach would be appropriate. Action research enabled educators to debate issues about concept mapping and test out ideas in their classrooms. It also afforded the participants opportunities to explore their own thinking, reflect on their personal journeys as educators and play an active role in their professional development.

Concept Mapping, a Technique of Analyzing a Discipline, and Its Use in the Curriculum and Instruction in a Portion of a College Level Mathematics Skills Course

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Publisher :
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Concept Mapping, a Technique of Analyzing a Discipline, and Its Use in the Curriculum and Instruction in a Portion of a College Level Mathematics Skills Course by : Peter Francis Cardamone

Download or read book Concept Mapping, a Technique of Analyzing a Discipline, and Its Use in the Curriculum and Instruction in a Portion of a College Level Mathematics Skills Course written by Peter Francis Cardamone and published by . This book was released on 1975 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

How Chinese Teach Mathematics: Perspectives From Insiders

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Publisher : World Scientific
ISBN 13 : 9814415839
Total Pages : 754 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis How Chinese Teach Mathematics: Perspectives From Insiders by : Lianghuo Fan

Download or read book How Chinese Teach Mathematics: Perspectives From Insiders written by Lianghuo Fan and published by World Scientific. This book was released on 2015-03-13 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book represents another concerted research effort concerning Chinese mathematics education, with contributions from the world's leading scholars and most active researchers. The book presents the latest original research work with a particular focus on the 'teaching' side of Chinese mathematics education to a wide international audience. There are mainly three sections in the book. The first section introduces readers to a historical and contemporary perspective, respectively, on traditional mathematical teaching in ancient China and on how modern Chinese mathematics teachers teach and pursue their pre-service training and in-service professional development. The second section presents studies investigating a wide range of issues at both the macro- and micro-levels on how Chinese mathematics teachers teach mathematics. The third section focuses on Chinese mathematics teachers, investigating issues about their knowledge, belief, teacher training and professional development. Like its predecessor, How Chinese Learn Mathematics: Perspectives from Insiders, this book is a must for educational researchers, practitioners, and policy-makers who are interested in knowing more about mathematics teaching, teachers, teacher education and professional development concerning Chinese teachers and learners.

Helping Children Learn Mathematics

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Publisher : National Academies Press
ISBN 13 : 0309131987
Total Pages : 53 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Helping Children Learn Mathematics by : National Research Council

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.

Teaching Science for Understanding

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Publisher : Academic Press
ISBN 13 : 0080879241
Total Pages : 381 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Teaching Science for Understanding by : Joel J. Mintzes

Download or read book Teaching Science for Understanding written by Joel J. Mintzes and published by Academic Press. This book was released on 2005-02-21 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching Science for Understanding

Using Assessment To Reshape Mathematics Teaching

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Publisher : Routledge
ISBN 13 : 1135678383
Total Pages : 425 pages
Book Rating : 4.1/5 (356 download)

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Book Synopsis Using Assessment To Reshape Mathematics Teaching by : Sandra K. Wilcox

Download or read book Using Assessment To Reshape Mathematics Teaching written by Sandra K. Wilcox and published by Routledge. This book was released on 2000-04-01 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This casebook is intended to support professionals who are working in a variety of contexts to use classroom-based assessment more effectively to support teacher learning and teaching change, and to enhance the opportunities for all students to develop mathematical power. It grows out of a collaboration of mathematics teachers and teacher educators, and mathematicians, to better understand the role of assessment as an ongoing activity to help teachers reshape their own teaching practices. At the heart of each case is using assessment to make sense of what students understand and what they are confused about, deciding what counts as evidence of that understanding, and using the analysis to consider what the teacher's next instructional moves might be. All of the cases in this volume are built around actual episodes from mathematics classrooms. Intended as decision-making exercises, they present the raw data of classroom events in a straightforward way and are designed to stimulate analysis and reflection; provoke various and sometimes conflicting interpretations of an event; bring to the fore deeply held beliefs of beginning and experienced teachers so they can be reconsidered; and engage professionals in pedagogical problem solving in the context of complex classroom settings. This volume reflects the growing interest in cases as a pedagogical tool in teacher professional development. The cases are organized to take up key themes of the NCTM Professional Teaching Standards in ways that will assist and support teachers, teacher educators, and curriculum and staff development specialists in learning to assess and in linking assessment with curriculum, teaching, and learning. Although each case contains many ideas for linking assessment with curriculum and instruction, the most powerful use of these materials resides in their design intended to foster conversations among groups of professional colleagues. The editors' field-testing of the cases--in initial teacher certification courses and in in-service workshops--has shown that they prompt engaging and demanding analysis through a variety of analytic lenses. A videotape containing vignettes for four of the cases in the Casebook is available with this book. Transcriptions of the video vignettes are printed in the case materials in the book. Course instructors and professional development facilitators will need both the Casebook and the videotape and should order the Casebook/Video set. The video can also be ordered separately.

Applied Concept Mapping

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Publisher : CRC Press
ISBN 13 : 1439877653
Total Pages : 382 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Applied Concept Mapping by : Brian Moon

Download or read book Applied Concept Mapping written by Brian Moon and published by CRC Press. This book was released on 2011-04-11 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: The expanding application of Concept Mapping includes its role in knowledge elicitation, institutional memory preservation, and ideation. With the advent of the CmapTools knowledge modeling software kit, Concept Mapping is being applied with increased frequency and success to address a variety of problems in the workplace. Supported by business application case studies, Applied Concept Mapping: Capturing, Analyzing, and Organizing Knowledge offers an accessible introduction to the theory, methods, and application of Concept Mapping in business and government. The case studies illustrate applications across a range of industries—including engineering, product development, defense, and healthcare. The authors provide access to a free download of CmapTools, courtesy of the Institute for Human and Machine Cognition, to enable readers to create and share their own Concept Maps. Offering examples from the United States, Canada, Australia, Spain, Brazil, Scotland, and The Netherlands, they highlight a global perspective of this dynamic tool. The text is organized into three sections: Practitioners’ Views—supplies narratives, guidance, and reviews of applications from career Concept Mappers Recent Case Studies and Results—presents in-depth examinations of specific applications and their results Pushing the Boundaries—explores what’s possible and where the boundary conditions lie Applied Concept Mapping facilitates the fundamental understanding needed to harness the power of Concept Mapping to develop viable solutions to a virtually unlimited number of real-world problems.

Learning Trajectories for Teachers

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Publisher : Teachers College Press
ISBN 13 : 0807761443
Total Pages : 177 pages
Book Rating : 4.8/5 (77 download)

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Book Synopsis Learning Trajectories for Teachers by : Paola Sztajn

Download or read book Learning Trajectories for Teachers written by Paola Sztajn and published by Teachers College Press. This book was released on 2019-06-07 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed to strengthen the teaching of mathematics in the elementary grades, this book focuses on helping teachers engage in instruction based on learning trajectories (LTs). Renowned scholars, including professional development researcher Hilda Borko, examine four exemplary projects with details on professional development design, teacher learning, and project implementation. Contributors include Hilda Borko, Douglas H. Clements, Susan B. Empson, Victoria R. Jacobs, and Julie Sarama. “This is an amazingly important and valuable resource for mathematics teachers and leaders at any level. It provides the background and understandings so critical for teachers and teacher leaders to regularly consider and use learning trajectories to inform teacher planning and instruction.” —Dr. Francis (Skip) Fennell, professor emeritus, McDaniel College, and past president of the Association of Mathematics Teacher Educators and the National Council of Teachers of Mathematics “This is the first book that I’ve come across that unpacks what it means to have a framework for student learning at the center of one’s instruction.” —Mary Kay Stein, University of Pittsburgh School of Education “I find this book useful for mathematics educators interested in framing learning trajectories across several domains—including tasks, discourse, curriculum, learners’ understanding, and assessment—to support professional development. Learning trajectories help us make connections among the domains and deepens professional knowledge and understanding.” —Robert Q. Berry III, University of Virginia, and president of the National Council of Teachers of Mathematics