The Impact on Algebra Vs. Geometry of a Learner's Ability to Develop Reasoning Skills

The Impact on Algebra Vs. Geometry of a Learner's Ability to Develop Reasoning Skills PDF

Author: Lisa a. Johnson Q. M. E.

Publisher:

Published: 2014-10-30

Total Pages: 54

ISBN-13: 9781480912021

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In this master's thesis, Dr. Lisa A. Johnson Q.M.E. examines the impact of three reasoning skills-number sense, structure sense, and abstract reasoning-on algebra and geometry. The study concentrates its efforts on data compiled from more than twenty researchers in this area, an extensive annotated bibliography, and work done at fictisciously named Union High School, real school classes consisting of 48 math students and eight math teachers. Through the efforts of this study, Dr. Johnson determined that algebra relies on abstract reasoning and structure sense, while geometry does not. Moreover, Dr. Johnson observed that further instruction needs to be given to teachers on communicating the three reasoning skills, as the teachers studied were not sufficiently knowledgeable in these areas. With teacher improvements, students in non-sufficient school systems could better excel in mathematics. About the Author Dr. Johnson holds two bachelors in sciences; three master's degrees, one of which is in Math Education Curriculum, and a doctorate degree. She attributes her success to her parents and sisters. This is her second publication.

The Cambridge Handbook of Cognition and Education

The Cambridge Handbook of Cognition and Education PDF

Author: John Dunlosky

Publisher: Cambridge University Press

Published: 2019-02-07

Total Pages: 1130

ISBN-13: 1108245102

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This Handbook reviews a wealth of research in cognitive and educational psychology that investigates how to enhance learning and instruction to aid students struggling to learn and to advise teachers on how best to support student learning. The Handbook includes features that inform readers about how to improve instruction and student achievement based on scientific evidence across different domains, including science, mathematics, reading and writing. Each chapter supplies a description of the learning goal, a balanced presentation of the current evidence about the efficacy of various approaches to obtaining that learning goal, and a discussion of important future directions for research in this area. It is the ideal resource for researchers continuing their study of this field or for those only now beginning to explore how to improve student achievement.

Math Instruction for Students with Learning Difficulties

Math Instruction for Students with Learning Difficulties PDF

Author: Susan Perry Gurganus

Publisher: Routledge

Published: 2021-11-30

Total Pages: 496

ISBN-13: 1000476022

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This richly updated third edition of Math Instruction for Students with Learning Difficulties presents a research-based approach to mathematics instruction designed to build confidence and competence in preservice and inservice PreK- 12 teachers. Referencing benchmarks of both the National Council of Teachers of Mathematics and Common Core State Standards for Mathematics, this essential text addresses teacher and student attitudes towards mathematics as well as language issues, specific mathematics disabilities, prior experiences, and cognitive and metacognitive factors. Chapters on assessment and instruction precede strands that focus on critical concepts. Replete with suggestions for class activities and field extensions, the new edition features current research across topics and an innovative thread throughout chapters and strands: multi-tiered systems of support as they apply to mathematics instruction.

Third Symposium Proceedings. New Ways of Teaching and Learning

Third Symposium Proceedings. New Ways of Teaching and Learning PDF

Author: Janina Morska

Publisher: WTM-Verlag Münster

Published:

Total Pages: 391

ISBN-13: 3959872887

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This volume contains the papers presented at the Third International Symposium on New Ways of Teaching & Learning held from August 6-10, 2024, at the Aemilia Hotel, Bologna, Italy. The Conference was organized by The Mathematics Education for the Future Project - an international educational project founded in 1986 and dedicated to innovation in mathematics, statistics, science and computer education world wide.

Toward a Scientific Practice of Science Education

Toward a Scientific Practice of Science Education PDF

Author: Marjorie Gardner

Publisher: Routledge

Published: 2013-04-03

Total Pages: 371

ISBN-13: 1136465693

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This volume supports the belief that a revised and advanced science education can emerge from the convergence and synthesis of several current scientific and technological activities including examples of research from cognitive science, social science, and other discipline-based educational studies. The anticipated result: the formation of science education as an integrated discipline.

Helping Children Learn Mathematics

Helping Children Learn Mathematics PDF

Author: National Research Council

Publisher: National Academies Press

Published: 2002-07-31

Total Pages: 52

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.

Cartoon Guide to Statistics

Cartoon Guide to Statistics PDF

Author: Larry Gonick

Publisher: Harper Collins

Published: 1993-07-14

Total Pages: 242

ISBN-13: 0062731025

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If you have ever looked for P-values by shopping at P mart, tried to watch the Bernoulli Trails on "People's Court," or think that the standard deviation is a criminal offense in six states, then you need The Cartoon Guide to Statistics to put you on the road to statistical literacy. The Cartoon Guide to Statistics covers all the central ideas of modern statistics: the summary and display of data, probability in gambling and medicine, random variables, Bernoulli Trails, the Central Limit Theorem, hypothesis testing, confidence interval estimation, and much more—all explained in simple, clear, and yes, funny illustrations. Never again will you order the Poisson Distribution in a French restaurant!

No Child Left Behind and other Federal Programs for Urban School Districts

No Child Left Behind and other Federal Programs for Urban School Districts PDF

Author: Frank Brown

Publisher: Emerald Group Publishing

Published: 2006-07-04

Total Pages: 395

ISBN-13: 0762312998

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The No Child Left Behind (NCLB) Act is designed to close the achievement gap between disadvantaged and disadvantaged children through its Title I program. This book explores models to achieve equity in Title I schools; and defines what is required of states in Title I schools. It examines how each state implements NCLB accountability standards.

Mathematics for Human Flourishing

Mathematics for Human Flourishing PDF

Author: Francis Su

Publisher: Yale University Press

Published: 2020-01-07

Total Pages: 287

ISBN-13: 0300237138

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"The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.

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