Focusing On Mathematical Knowledge PDF Download
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| Author | : Jonathan Bostic |
| Publisher | : Routledge |
| Total Pages | : 247 |
| Release | : 2019-04-29 |
| Genre | : Education |
| ISBN | : 0429942230 |
Download Quantitative Measures of Mathematical Knowledge Book in PDF, ePub and Kindle
The aim of this book is to explore measures of mathematics knowledge, spanning K-16 grade levels. By focusing solely on mathematics content, such as knowledge of mathematical practices, knowledge of ratio and proportions, and knowledge of abstract algebra, this volume offers detailed discussions of specific instruments and tools meant for measuring student learning. Written for assessment scholars and students both in mathematics education and across educational contexts, this book presents innovative research and perspectives on quantitative measures, including their associated purpose statements and validity arguments.
| Author | : Tim Rowland |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 300 |
| Release | : 2011-01-06 |
| Genre | : Education |
| ISBN | : 904819766X |
Download Mathematical Knowledge in Teaching Book in PDF, ePub and Kindle
The quality of primary and secondary school mathematics teaching is generally agreed to depend crucially on the subject-related knowledge of the teacher. However, there is increasing recognition that effective teaching calls for distinctive forms of subject-related knowledge and thinking. Thus, established ways of conceptualizing, developing and assessing mathematical knowledge for teaching may be less than adequate. These are important issues for policy and practice because of longstanding difficulties in recruiting teachers who are confident and conventionally well-qualified in mathematics, and because of rising concern that teaching of the subject has not adapted sufficiently. The issues to be examined in Mathematical Knowledge in Teaching are of considerable significance in addressing global aspirations to raise standards of teaching and learning in mathematics by developing more effective approaches to characterizing, assessing and developing mathematical knowledge for teaching.
| Author | : National Research Council |
| Publisher | : National Academies Press |
| Total Pages | : 53 |
| Release | : 2002-07-31 |
| Genre | : Education |
| ISBN | : 0309131987 |
Download Helping Children Learn Mathematics Book in PDF, ePub and Kindle
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.
| Author | : Beth McCord Kobett |
| Publisher | : Corwin Press |
| Total Pages | : 189 |
| Release | : 2020-02-27 |
| Genre | : Education |
| ISBN | : 1544374925 |
Download Strengths-Based Teaching and Learning in Mathematics Book in PDF, ePub and Kindle
"This book is a game changer! Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K- 6 goes beyond simply providing information by sharing a pathway for changing practice. . . Focusing on our students’ strengths should be routine and can be lost in the day-to-day teaching demands. A teacher using these approaches can change the trajectory of students’ lives forever. All teachers need this resource! Connie S. Schrock Emporia State University National Council of Supervisors of Mathematics President, 2017-2019 NEW COVID RESOURCES ADDED: A Parent’s Toolkit to Strengths-Based Learning in Math is now available on the book’s companion website to support families engaged in math learning at home. This toolkit provides a variety of home-based activities and games for families to engage in together. Your game plan for unlocking mathematics by focusing on students’ strengths. We often evaluate student thinking and their work from a deficit point of view, particularly in mathematics, where many teachers have been taught that their role is to diagnose and eradicate students’ misconceptions. But what if instead of focusing on what students don’t know or haven’t mastered, we identify their mathematical strengths and build next instructional steps on students’ points of power? Beth McCord Kobett and Karen S. Karp answer this question and others by highlighting five key teaching turnarounds for improving students’ mathematics learning: identify teaching strengths, discover and leverage students’ strengths, design instruction from a strengths-based perspective, help students identify their points of power, and promote strengths in the school community and at home. Each chapter provides opportunities to stop and consider current practice, reflect, and transfer practice while also sharing · Downloadable resources, activities, and tools · Examples of student work within Grades K–6 · Real teachers’ notes and reflections for discussion It’s time to turn around our approach to mathematics instruction, end deficit thinking, and nurture each student’s mathematical strengths by emphasizing what makes them each unique and powerful.
| Author | : Yeping Li |
| Publisher | : BRILL |
| Total Pages | : 314 |
| Release | : 2018-05-16 |
| Genre | : Education |
| ISBN | : 9463512365 |
Download How Chinese Acquire and Improve Mathematics Knowledge for Teaching Book in PDF, ePub and Kindle
How Chinese Acquire and Improve Mathematics Knowledge for Teaching takes a unique approach to present new research that views knowledge acquisition and improvement as part of teachers’ life-long professional learning process in China.
| Author | : Alan Bishop |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 214 |
| Release | : 2013-11-27 |
| Genre | : Education |
| ISBN | : 9401721955 |
Download Mathematical Knowledge: Its Growth Through Teaching Book in PDF, ePub and Kindle
In the first BACOMET volume different perspectives on issues concerning teacher education in mathematics were presented (B. Christiansen, A. G. Howson and M. Otte, Perspectives on Mathematics Education, Reidel, Dordrecht, 1986). Underlying all of them was the fundamental problem area of the relationships between mathematical knowledge and the teaching and learning processes. The subsequent project BACOMET 2, whose outcomes are presented in this book, continued this work, especially by focusing on the genesis of mathematical knowledge in the classroom. The book developed over the period 1985-9 through several meetings, much discussion and considerable writing and redrafting. Our major concern was to try to analyse what we considered to be the most significant aspects of the relationships in order to enable mathematics educators to be better able to handle the kinds of complex issues facing all mathematics educators as we approach the end of the twentieth century. With access to mathematics education widening all the time, with a multi tude of new materials and resources being available each year, with complex cultural and social interactions creating a fluctuating context of education, with all manner of technology becoming more and more significant, and with both informal education (through media of different kinds) and non formal education (courses of training etc. ) growing apace, the nature of formal mathematical education is increasingly needing analysis.
| Author | : Michael S. Garet |
| Publisher | : |
| Total Pages | : 4 |
| Release | : 2016 |
| Genre | : |
| ISBN | : |
Download Focusing on Teachers' Mathematical Knowledge Book in PDF, ePub and Kindle
Recent results from national and international assessments continue to show a need for improvement in math achievement among U.S. students. For example, 60 per-cent of grade 4 students scored below the proficient level on the 2015 National Assessment of Educational Progress. In an era of increasingly rigorous state standards, teachers at all grade levels face heightened expectations to deepen their students' understanding of math concepts. Teachers may benefit from professional development (PD) that strengthens their own conceptual understanding of math, particularly elementary school teachers who are less likely to formally study math in college than secondary teachers are. To date, there is limited convincing evidence on the effectiveness of intensive, content-focused PD, a gap this study intended to address. This study examined the implementation and impact of a 93-hour PD program that focused on deepening teachers' general math knowledge but also covered some math knowledge relevant to teaching. The core of the PD was "Intel Math," an intensive 80-hour workshop delivered in summer 2013 that focused on deepening teachers 'knowledge of grades K-8 math. Two additional PD components, "Mathematics Learning Community" and "Video Feedback Cycles" totaling 13 hours were delivered during the 2013-14 school year to reinforce the math content in Intel Math and help teachers apply the content to improve their instruction. Results of the study revealed that despite the PD's positive impact on some teacher outcomes, the PD did not have a positive impact on student achievement. On average, treatment teachers' students scored 2 percentile points lower than control teachers' students on both spring 2014 student achievement measures (see Figure 3). The difference between treatment and control group students was statistically significant for the state math assessment but not the study-administered assessment. This may be partially explained by the finding that math content knowledge and instructional practice, as measured in this study, were generally not correlated with student math achievement. [To access the full report in ERIC "Focusing on Mathematical Knowledge: The Impact of Content-Intensive Teacher Professional Development. NCEE 2016-4010," see ED569154. To view "Focusing on Mathematical Knowledge: The Impact of Content-Intensive Teacher Professional Development. Executive Summary. NCEE 2016-4009," see ED569155.].
| Author | : Mary Leng |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 199 |
| Release | : 2007-11-15 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 0199228248 |
Download Mathematical Knowledge Book in PDF, ePub and Kindle
What is the nature of mathematical knowledge? Is it anything like scientific knowledge or is it sui generis? How do we acquire it? Should we believe what mathematicians themselves tell us about it? Are mathematical concepts innate or acquired? Eight new essays offer answers to these and many other questions. Written by some of the world's leading philosophers of mathematics, psychologists, and mathematicians, Mathematical Knowledge gives a lively sense of the current state of debate in this fascinating field.
| Author | : Caroline B. Ebby |
| Publisher | : Studies in Mathematical Thinking and Learning Series |
| Total Pages | : 224 |
| Release | : 2020-11 |
| Genre | : |
| ISBN | : 9780367462888 |
Download A Focus on Addition and Subtraction Book in PDF, ePub and Kindle
"This innovative text offers a unique approach to making mathematics education research on addition, subtraction, and number concepts readily accessible and understandable to pre-service and in-service teachers of grades K-3. Revealing students' thought processes with extensive annotated samples of student work and vignettes characteristic of teachers' experiences, this book provides educators with the knowledge and tools needed to modify their lessons and improve student learning of additive reasoning in the primary grades. Based on research gathered in the Ongoing Assessment Project (OGAP), this engaging, easy-to-use resource features practical resources such as: A close focus on student work, including 150+ annotated pieces of student work, to help teachers improve their ability to recognize, assess and monitor their students' errors and misconceptions, as well as their developing conceptual understanding; A focus on the OGAP Addition, Subtraction, and Number Progressions, based on research conducted with hundreds of teachers and thousands of pieces of student work; In-chapter sections on how Common Core State Standards for Math (CCSSM) are supported by math education research; End-of-chapter questions to allow teachers to analyze student thinking and consider instructional strategies for their own students; Instructional links to help teachers relate concepts from each chapter to their own instructional materials and programs. A Focus on Addition and Subtraction marks the fourth instalment of the popular A Focus on... collection, designed to aid the professional development of pre-service and in-service mathematics teachers. Following on from previous volumes on ratios and proportions, multiplication and division, and fractions, this newest addition is designed to bridge the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions. Caroline B. Ebby is a Senior Researcher at the Graduate School of Education, University of Pennsylvania. Elizabeth T. Hulbert is a Managing Partner at the Ongoing Assessment Project. Rachel M. Broadhead is Project Director for the Alabama Math, Science, and Technology Initiative, University of South Alabama"--
| Author | : Hamsa Venkat |
| Publisher | : Routledge |
| Total Pages | : 236 |
| Release | : 2014-05-09 |
| Genre | : Education |
| ISBN | : 1134683642 |
Download Exploring Mathematics and Science Teachers' Knowledge Book in PDF, ePub and Kindle
Globally, mathematics and science education faces three crucial challenges: an increasing need for mathematics and science graduates; a declining enrolment of school graduates into university studies in these disciplines; and the varying quality of school teaching in these areas. Alongside these challenges, internationally more and more non-specialists are teaching mathematics and science at both primary and secondary levels, and research evidence has revealed how gaps and limitations in teachers’ content understandings can lead to classroom practices that present barriers to students’ learning. This book addresses these issues by investigating how teachers’ content knowledge interacts with their pedagogies across diverse contexts and perspectives. This knowledge-practice nexus is examined across mathematics and science teaching, traversing schooling phases and countries, with an emphasis on contexts of disadvantage. These features push the boundaries of research into teachers’ content knowledge. The book’s combination of mathematics and science enriches each discipline for the reader, and contributes to our understandings of student attainment by examining the nature of specialised content knowledge needed for competent teaching within and across the two domains. Exploring Mathematics and Science Teachers’ Knowledge will be key reading for researchers, doctoral students and postgraduates with a focus on Mathematics, Science and teacher knowledge research.
