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Contexts Of Learning Mathematics And Science

Author: Sarah J. Howie
Publisher: Routledge
ISBN: 1134232152
Size: 63.80 MB
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This book is the result of research from over fifteen countries, asking which background and environmental factors influence achievement in mathematics and science. This research is based on data from the Third International Mathematics and Science Study (TIMSS), which was conducted under the auspices of the International Association for the Evaluation of Educational Achievement (IEA) in 1995 and 1998. In many countries researchers have started secondary analysis of the data in search for relationships between contextual factors and achievement. In these analyses two different approaches can be distinguished, which can be characterised by the metaphors of ‘fishing’ and ‘hunting’. In the ‘fishing’ approach, researchers begin with an open mind, considering all possible context variables as potentially influential. Applying analysis techniques such as regression analysis, Lisrel, PLS, HLM, and MLN, they then identify important factors within their countries or across a number of countries. In the ‘hunting’ approach, researchers hypothesise certain context variables and trace the effect of these variables on mathematics and/or science achievement.

Contexts For Learning Mathematics Level 1 Read Alouds

Author: Catherine Twomey Fosnot
Publisher: Greenwood International
ISBN: 9780325010847
Size: 18.67 MB
Format: PDF, Mobi
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Building learning around rich, instructionally sound contexts was an overarching goal during the development of the Contexts for Learning Mathematics series. Throughout the series context is used to set the stage for learning. It establishes a terrain that will intrigue children and ignite their imaginations. The contexts are situations children can imagine - either realistic or fictional - that enable them to reflect on what they are doing and apply mathematical thinking to their own world. Contexts for investigations are typically developed with stories and pictures. These are carefully crafted to involve students in meaningful investigations of the big ideas, strategies, and models that shape mathematical thinking. * The images and texts are engaging and include age-appropriate children using mathematics to solve real-world problems. * The numbers referenced represent landmark numbers or number relationships that are significant and telling. * The models and metaphors within a context make relationships and strategies more tangible and explicit. The contexts for the eight units in Investigating Number Sense, Addition, and Subtraction (Grades K - 3) are established through eight engaging read-aloud books (15" x 12") that meld humor, intrigue, and good math sense. To learn more visit

Contexts For Learning Mathematics

Author: Catherine Twomey Fosnot
Publisher: Greenwood International
ISBN: 9780325010045
Size: 40.18 MB
Format: PDF, Docs
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Contexts for Learning consists of: Investigations and Resource Guides - workshop structure involves students in inquiring, investigating, discussing, and constructing mathematical solutions and strategies - investigations encourage emergent learning and highlight the developmental landmarks in mathematical thinking - strings of related problems develop students' deep number sense and expand their strategies for mental arithmetic Read-Aloud Books and Posters - create rich, imaginable contexts--realistic and fictional--for mathematics investigations - are carefully crafted to support the development of the big ideas, strategies, and models - encourage children to explore and generate patterns, generalize, and develop the ability to mathematize their worlds Resources for Contexts for Learning CD-ROM - author videos describe the series' philosophy and organization - video overviews show classroom footage of a math workshop, including minilessons, investigations, and a math congress - print resources include research base, posters, and templates

Key Concepts In Teaching Primary Mathematics

Author: Derek Haylock
Publisher: SAGE
ISBN: 1849202451
Size: 40.85 MB
Format: PDF, ePub, Mobi
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Covering the key principles and concepts in the teaching and learning of mathematics in primary schools, this text provides trainee and practising teachers with a quick and easy reference to what they need to know for their course, and in the classroom. The entries are arranged alphabetically, and each contains a brief definition, followed by an explanation and discussion, practical examples and annotated suggestions for further reading. Examples of the wide-ranging material include: Anxiety about mathematics; Assessment for Learning; Cognitive conflict; Concept learning; Creativity in mathematics; Differentiation; Equivalence; Explanation; Investigation; Low attainment; Making connections; Meaningful context; Mental calculation; Numeracy; Play as a context for learning mathematics; Problem-solving; Questioning; Talk.

Elementary Mathematics In Context

Author: Charlene Sheets
Publisher: IAP
ISBN: 1623963818
Size: 51.98 MB
Format: PDF
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These materials were developed, in part, by a grant from the federallyfunded Mathematics and Science Partnership through the Center for STEM Education. Some of the activities were adapted from the National Council of Teachers of Mathematics Illuminations, the National Library of Virtual Manipulatives, HandsOn Math Projects with Real Applications by Judith A. Muschla and Gary R. Muschla, Learning Math with Calculators: Activities for Grades 38 by Len Sparrow and Paul Swan, and Mathematical Ideas by Charles D. Miller, Vern E. Heeren and John Hornsby. The following UNC Charlotte, Charlotte, North Carolina graduates contributed to the development of the work products: Anna Athanasopoulou, Stephen Chambers, Fabio Franco, Jen Krieger, Morgan Leith, Chris Muellenbach, Ashley Nagowski, Jamie Pursley, Brandy Reece, Lauren Selvey and Linda Xiong.

Organizing And Collecting

Author: Fosnot
Publisher: Firsthand
ISBN: 9780325010113
Size: 64.40 MB
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"Building on their influential research into best practices in mathematics education, Catherine Twomey Fosnot and colleagues from Mathematics in the City and the Freudenthal Institute have organized their carefully crafted investigations into dynamic curriculum units called the Contexts for Learning Mathematics (CFLM) series."--Study guide.

Muffles Truffles

Author: Antonia Cameron
Publisher: Greenwood International
ISBN: 9780325010199
Size: 37.18 MB
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Muffle's Truffles: Multiplication and Division with the Array is one of five units in the Contexts for Learning Mathematics' Investigating Multiplication and Division (3 - 5) The focus of this unit is the development of the open array as a model for multiplication and division. This unit uses a series of investigations based on the context of Muffles' Truffles shop. The questions posed in the first investigation (how many boxes of ten can be made with a given quantity of truffles; how many leftovers will there be from a given quantity and how can they be combined to make assortment boxes; and what is the cost of a given quantity of truffles if they cost $1 each) give students an opportunity to explore place value - the multiplicative structure of our base-ten system and quotative division. In the second and third investigations, students build two-dimensional blueprints of one-layer boxes and use these arrays to explore some of the big ideas in multiplication (the distributive, associative, and commutative properties). In the fourth and final investigation, students work with open arrays in the context of labeling and pricing wrapped boxes of truffles. To figure out the dimensions of the wrapped boxes (or open arrays) and the cost, students need to apply a number of big ideas previously developed in this unit. There are three different kinds of minilessons for multiplication included in the unit as well: counting around the circle, strings of related problems, and quick images. The count-around is used to support the development of place value as it relates to multiplication. The strings of related problems are explicitly designed to guide learners toward computational fluency with whole number multiplication and to build automaticity with multiplication facts by focusing on relationships. The quick images use 2 x 5 and 1 x 5 arrays as units to build larger arrays. In the last days of the unit, more complex minilessons (double-digit multiplication problems) generate a wider range of student strategies that can be explored (and modeled) with the open array. To learn more visit

How People Learn

Author: National Research Council
Publisher: National Academies Press
ISBN: 0309131979
Size: 56.29 MB
Format: PDF, ePub
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First released in the Spring of 1999, How People Learn has been expanded to show how the theories and insights from the original book can translate into actions and practice, now making a real connection between classroom activities and learning behavior. This edition includes far-reaching suggestions for research that could increase the impact that classroom teaching has on actual learning. Like the original edition, this book offers exciting new research about the mind and the brain that provides answers to a number of compelling questions. When do infants begin to learn? How do experts learn and how is this different from non-experts? What can teachers and schools do-with curricula, classroom settings, and teaching methods--to help children learn most effectively? New evidence from many branches of science has significantly added to our understanding of what it means to know, from the neural processes that occur during learning to the influence of culture on what people see and absorb. How People Learn examines these findings and their implications for what we teach, how we teach it, and how we assess what our children learn. The book uses exemplary teaching to illustrate how approaches based on what we now know result in in-depth learning. This new knowledge calls into question concepts and practices firmly entrenched in our current education system. Topics include: How learning actually changes the physical structure of the brain. How existing knowledge affects what people notice and how they learn. What the thought processes of experts tell us about how to teach. The amazing learning potential of infants. The relationship of classroom learning and everyday settings of community and workplace. Learning needs and opportunities for teachers. A realistic look at the role of technology in education.

Teaching Mathematics Vocabulary In Context

Author: Miki Murray
Publisher: Heinemann Educational Books
Size: 41.35 MB
Format: PDF, Kindle
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Teachers have come to recognize that, unlike ordinary street language, the technical and specialized language of mathematics does not come naturally to students. Developing a useful mathematics vocabulary requires special attention, especially in the middle grades. Miki Murray knows this from more than forty years of experience as both a staff developer and a mathematics teacher. In this important new book she shares with other teachers some of the best strategies for drawing the power of mathematics vocabulary to enhance students' conceptual learning

Interest In Mathematics And Science Learning

Author: Ann Renninger
ISBN: 0935302425
Size: 17.41 MB
Format: PDF, ePub, Docs
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Interest in Mathematics and Science Learning, edited by K. Ann Renninger, Martin Nieswandt, and Suzanne Hidi, is the first volume to assemble findings on the role of interest in mathematics and science learning. As the contributors illuminate across the volume's 22 chapters, interest provides a critical bridge between cognition and affect in learning and development. This volume will be useful to educators, researchers, and policy makers, especially those whose focus is mathematics, science, and technology education.