statistical literacy at school growth and goals studies in mathematical thinking and learning series

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Statistical Literacy At School

Author : Jane M. Watson
ISBN : 9781136501081
Genre : Education
File Size : 42. 54 MB
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This book reveals the development of students' understanding of statistical literacy. It provides a way to "see" student thinking and gives readers a deeper sense of how students think about important statistical topics. Intended as a complement to curriculum documents and textbook series, it is consistent with the current principles and standards of the National Council of Teachers of Mathematics. The term "statistical literacy" is used to emphasize that the purpose of the school curriculum should not be to turn out statisticians but to prepare statistically literate school graduates who are prepared to participate in social decision making. Based on ten years of research--with reference to other significant research as appropriate--the book looks at students' thinking in relation to tasks based on sampling, graphical representations, averages, chance, beginning inference, and variation, which are essential to later work in formal statistics. For those students who do not proceed to formal study, as well as those who do, these concepts provide a basis for decision making or questioning when presented with claims based on data in societal settings. Statistical Literacy at School: Growth and Goals: *establishes an overall framework for statistical literacy in terms of both the links to specific school curricula and the wider appreciation of contexts within which chance and data-handling ideas are applied; *demonstrates, within this framework, that there are many connections among specific ideas and constructs; *provides tasks, adaptable for classroom or assessment use, that are appropriate for the goals of statistical literacy; *presents extensive examples of student performance on the tasks, illustrating hierarchies of achievement, to assist in monitoring gains and meeting the goals of statistical literacy; and *includes a summary of analysis of survey data that suggests a developmental hierarchy for students over the years of schooling with respect to the goal of statistical literacy. Statistical Literacy at School: Growth and Goals is directed to researchers, curriculum developers, professionals, and students in mathematics education as well those across the curriculum who are interested in students' cognitive development within the field; to teachers who want to focus on the concepts involved in statistical literacy without the use of formal statistical techniques; and to statisticians who are interested in the development of student understanding before students are exposed to the formal study of statistics.

Developing Students Statistical Reasoning

Author : Joan Garfield
ISBN : 9781402083839
Genre : Education
File Size : 81. 71 MB
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Increased attention is being paid to the need for statistically educated citizens: statistics is now included in the K-12 mathematics curriculum, increasing numbers of students are taking courses in high school, and introductory statistics courses are required in college. However, increasing the amount of instruction is not sufficient to prepare statistically literate citizens. A major change is needed in how statistics is taught. To bring about this change, three dimensions of teacher knowledge need to be addressed: their knowledge of statistical content, their pedagogical knowledge, and their statistical-pedagogical knowledge, i.e., their specific knowledge about how to teach statistics. This book is written for mathematics and statistics educators and researchers. It summarizes the research and highlights the important concepts for teachers to emphasize, and shows the interrelationships among concepts. It makes specific suggestions regarding how to build classroom activities, integrate technological tools, and assess students’ learning. This is a unique book. While providing a wealth of examples through lessons and data sets, it is also the best attempt by members of our profession to integrate suggestions from research findings with statistics concepts and pedagogy. The book’s message about the importance of listening to research is loud and clear, as is its message about alternative ways of teaching statistics. This book will impact instructors, giving them pause to consider: "Is what I’m doing now really the best thing for my students? What could I do better?" J. Michael Shaughnessy, Professor, Dept of Mathematical Sciences, Portland State University, USA This is a much-needed text for linking research and practice in teaching statistics. The authors have provided a comprehensive overview of the current state-of-the-art in statistics education research. The insights they have gleaned from the literature should be tremendously helpful for those involved in teaching and researching introductory courses. Randall E. Groth, Assistant Professor of Mathematics Education, Salisbury University, USA

Lehrerprofessionswissen Im Kontext Beschreibender Statistik

Author : Stefanie Schumacher
ISBN : 9783658177669
Genre : Education
File Size : 58. 49 MB
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Stefanie Schumacher entwickelt basierend auf etablierten Modellen des Professionswissens ein theoretisches Rahmenmodell, das neben fachlichem und fachdidaktischem Wissen bezogen auf beschreibende Statistik die Lehrerselbstwirksamkeit sowie ausgewählte Emotionen miteinbezieht. Die Untersuchung umfasst die Pilotierung des von der Autorin konzipierten Testinstruments BeSt Teacher an einer Stichprobe von 58 im Schuldienst tätigen Lehrkräften mit quantitativen und qualitativen Analysen. Die Ergebnisse der Pilotierungsstudie geben einen detaillierten Einblick in die Struktur des Professionswissens von Mathematiklehrkräften der Sekundarstufe I im Bereich der beschreibenden Statistik und zeigen darüber hinaus weitere Einsatzmöglichkeiten des Testinstruments auf.

The Mathematics That Every Secondary School Math Teacher Needs To Know

Author : Alan Sultan
ISBN : 9781135157821
Genre : Education
File Size : 71. 30 MB
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What knowledge of mathematics do secondary school math teachers need to facilitate understanding, competency, and interest in mathematics for all of their students? This unique text and resource bridges the gap between the mathematics learned in college and the mathematics taught in secondary schools. Written in an informal, clear, and interactive learner-centered style, it is designed to help pre-service and in-service teachers gain the deep mathematical insight they need to engage their students in learning mathematics in a multifaceted way that is interesting, developmental, connected, deep, understandable, and often, surprising and entertaining. Features include Launch questions at the beginning of each section, Student Learning Opportunities, Questions from the Classroom, and highlighted themes throughout to aid readers in becoming teachers who have great "MATH-N-SIGHT": M Multiple Approaches/Representations A Applications to Real Life T Technology H History N Nature of Mathematics: Reasoning and Proof S Solving Problems I Interlinking Concepts: Connections G Grade Levels H Honing of Mathematical Skills T Typical Errors This text is aligned with the recently released Common Core State Standards, and is ideally suited for a capstone mathematics course in a secondary mathematics certification program. It is also appropriate for any methods or mathematics course for pre- or in-service secondary mathematics teachers, and is a valuable resource for classroom teachers.

Culturally Responsive Mathematics Education

Author : Brian Greer
ISBN : 9781135593346
Genre : Education
File Size : 25. 46 MB
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At a time of rapid demographic change and amidst the many educational challenges facing the US, this critical new collection presents mathematics education from a culturally responsive perspective. It tackles the most crucial issues of teaching mathematics to an ethnically diverse school population, including the political dimension of mathematics education within the context of governmental efforts to improve achievement in school mathematics. Culturally Responsive Mathematics Education moves beyond a point of view that is internal to mathematics education as a discipline, and instead offers a broad perspective of mathematics as a significant, liberating intellectual force in our society. The editors of this volume bring together contributions from many of the leading teachers, teacher educators, researchers, scholars, and activists who have been working to reorient mathematics education in ways that reflect mathematics education as accomplished, first and foremost, through human interactions.

Algebra In The Early Grades

Author : James J. Kaput
ISBN : UOM:39015074229801
Genre : Education
File Size : 23. 45 MB
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This volume is the first to offer a comprehensive, research-based, multi-faceted look at issues in early algebra. In recent years, the National Council for Teachers of Mathematics has recommended that algebra become a strand flowing throughout the K-12 curriculum, and the 2003 RAND Mathematics Study Panel has recommended that algebra be "the initial topical choice for focused and coordinated research and development [in K-12 mathematics]." The book provides a rationale for a stronger and more sustained approach to algebra in school, as well as concrete examples of how algebraic reasoning may be developed in the early grades. It is organized around three themes: *The Nature of Early Algebra *Students' Capacity for Algebraic Thinking *Issues of Implementation: Taking Early Algebra to the Classrooms The contributors to this landmark volume have been at the forefront of an effort to integrate algebra into the existing early grades mathematics curriculum. They include scholars who have been developing the conceptual foundations for such changes as well as researchers and developers who have led empirical investigations in school settings. Algebra in the Early Gradesaims to bridge the worlds of research, practice, design, and theory for educators, researchers, students, policy makers, and curriculum developers in mathematics education.

Becoming A Reflective Mathematics Teacher

Author : Alice F. Artzt
ISBN : STANFORD:36105124072252
Genre : Education
File Size : 53. 42 MB
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This revised and expanded edition of "Becoming a Reflective Mathematics Teacher "continues to provide preservice and inservice mathematics teachers with practical ideas for developing and honing reflective and self-analytical skills needed to advance and improve instruction. Ideally suited for use with students who are taking a mathematics methods course or who are student teaching, this activity-oriented, research-based text: *supplies detailed observation instruments that preservice teachers can use when they observe other teachers; *offers reflective activities that provide a structure through which beginning teachers can think about their teaching in an insightful, thorough, and productive manner; and *includes guidelines and instruments for supervisors to use when observing, conferencing with, and assessing beginning or student teachers. All instruments and suggested activities are presented within a highly effective framework for teacher reflection and self-assessment that was developed in the spirit of inquiry-based, learner-centered teaching and is grounded in a cognitive perspective. New in the Second Edition: The first edition of this popular text focused on middle and secondary level mathematics teaching. This edition has been expanded to encompass elementary mathematics education, including new examples from elementary student teachers. Rubrics have been added for the observation report and the portfolio instruments. The text has been updated throughout.

The Origins Of Mathematical Knowledge In Childhood

Author : Catherine Sophian
ISBN : 0805857583
Genre : Education
File Size : 40. 98 MB
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This book examines the origins and development of children’s mathematical knowledge. It contrasts the widely held view that counting is the starting point for mathematical development with an alternative comparison-of-quantities position. According to the comparison-of-quantities position, the concept of number builds upon more basic concepts of equality, inequality, and less-than and greater-than relations, which derive from comparisons between unenumerated quantities such as lengths. The concept of number combines these basic comparative concepts with the concept of a unit of measure, which allows one quantity to be described as a multiple of another. Sophian examines these alternative accounts of children’s developing mathematical knowledge in the light of research: *on children's counting; *on their reasoning about continuous quantities such as length and area; *on the development of the concept of unit; *on additive and multiplicative reasoning; and *on knowledge about fractions. In the closing chapters, Sophian draws out the developmental and the educational implications of the research and theory presented. Developmentally, the comparison-of-quantities position undermines the idea that numerical knowledge develops through domain-specific learning mechanisms in that it links numerical development both to physical knowledge about objects, which is the starting point for the concept of unit, and to the acquisition of linguistic number terms. Instructionally, the comparison-of-quantities perspective diverges from the counting-first perspective in that it underscores the continuity between whole-number arithmetic and fraction learning that stems from the importance of the concept of unit for both. Building on this idea, Sophian advances three instructional recommendations: First, instruction about numbers should always be grounded in thinking about quantities and how numbers represent the relations between them; second, instruction in the early years should always be guided by a long-term perspective in which current objectives are shaped by an understanding of their role in the overall course of mathematics learning; and third, instruction should be directly toward promoting the acquisition of the most general mathematical knowledge possible. The Origins of Mathematical Knowledge in Childhood is intended for researchers, professionals, and graduate students in developmental psychology, educational psychology, and mathematics education, and as a supplementary text for advanced undergraduate courses in cognitive development, educational psychology, and mathematics education.

The Australian Mathematics Teacher

Author :
ISBN : UOM:39015072603015
Genre : Mathematics
File Size : 79. 16 MB
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American Book Publishing Record

Author :
ISBN : UOM:39015066180392
Genre : American literature
File Size : 75. 2 MB
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