Helping Children Learn Mathematics

Helping Children Learn Mathematics

Author: National Research Council

Publisher: National Academies Press

Published: 2002-07-31

Total Pages: 53

ISBN-13: 0309131987

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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.


The Usefullness of Mathematical Learning

The Usefullness of Mathematical Learning

Author: Isaac Barrow

Publisher: Routledge

Published: 2013-12-02

Total Pages: 307

ISBN-13: 1317845536

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This is a collection of mathematical lectures that were read in the Publick Schools at the University of Cambridge and was originally published in 1734. It includes twenty-three lectures which range in topic from the name and general division of mathematical sciences, to An answer to Borellus' Objections.


From Discrete to Continuous

From Discrete to Continuous

Author: K. Neal

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 182

ISBN-13: 940170077X

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In the early modern period, a crucial transformation occurred in the classical conception of number and magnitude. Traditionally, numbers were merely collections of discrete units that measured some multiple. Magnitude, on the other hand, was usually described as being continuous, or being divisible into parts that are infinitely divisible. This traditional idea of discrete number versus continuous magnitude was challenged in the early modern period in several ways. This detailed study explores how the development of algebraic symbolism, logarithms, and the growing practical demands for an expanded number concept all contributed to a broadening of the number concept in early modern England. An interest in solving practical problems was not, in itself, enough to cause a generalisation of the number concept. It was the combined impact of novel practical applications together with the concomitant development of such mathematical advances as algebraic notation and logarithms that produced a broadened number concept.


Mathematical Mindsets

Mathematical Mindsets

Author: Jo Boaler

Publisher: John Wiley & Sons

Published: 2015-10-12

Total Pages: 320

ISBN-13: 1118415531

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Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.


David Hume: A Treatise of Human Nature

David Hume: A Treatise of Human Nature

Author: David Hume

Publisher: Oxford University Press on Demand

Published: 2007-04-19

Total Pages: 752

ISBN-13: 0199263841

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David and Mary Norton present the definitive scholarly edition of Hume's Treatise, one of the greatest philosophical works ever written. This second volume contains their historical account of how the Treatise was written and published; an explanation of how they have established the text; an extensive set of annotations which illuminate Hume's texts; and a comprehensive bibliography and index.


Thomas Reid on Mathematics and Natural Philosophy

Thomas Reid on Mathematics and Natural Philosophy

Author: Paul Wood

Publisher: Edinburgh University Press

Published: 2017-08-31

Total Pages: 513

ISBN-13: 1474404812

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Thomas Reid was an intellectual polymath interested in all aspects of Enlightenment thought. Paul Wood reconstructs Reid's career as a mathematician and natural philosopher and shows how he grappled with Sir Isaac Newton's scientific legacy.


The Road to Medical Statistics

The Road to Medical Statistics

Author:

Publisher: BRILL

Published: 2016-08-29

Total Pages: 155

ISBN-13: 9004333517

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This collection of essays aims to provide a broader overview of the mathematical and statistical methods in the biological sciences, and to explore the use of these with the use of these quantitative technologies in medical and clinical cultures from the seventeenth to the twentieth centuries.