The Role Of Mental Computation And Estimation In Elementary School
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The Role Of Mental Computation And Estimation In Elementary School
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Author : Peter McCarthy
language : en
Publisher:
Release Date : 2007
The Role Of Mental Computation And Estimation In Elementary School written by Peter McCarthy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mental arithmetic categories.
The study sought to investigate how Grade 3 students from two separate schools learned mathematics. The study explores the role of mental computation when students are engaged in sharing their invented strategies. I observed students sharing ideas and teachers implementing mental computation lessons over fifteen sessions. Interviews with students and teachers, copies of students' journal on mental math strategies were used to collect additional data. The findings were organized around descriptive moments; as I described how students were absorbed in mathematical conversation when they were invited to think mathematically and also encouraged to use their own strategies. I drew on the epistemology of constructivism in problem solving, to understand how students develop conceptual understanding of mathematics when given the opportunity to explain their own strategies. Students' cooperation in sharing their inventions was observed in class and group discussions, as well as in pairs with classmates. It was at these levels where the students: (a) eagerly invented numerous strategies for solving addition, subtraction and multiplication problems; (b) made sound arguments in support of their ideas when discussing problem solving strategies; (c) were cooperative in presenting their strategies; (d) learned from each other by listening to one another's explanations; (e) learned from correcting their errors; and (f) used their cognitive backgrounds as useful heuristics in their discussions. The students expressed their satisfaction and enjoyment during their collaborative learning and social interactions. The teachers used questioning strategies, among other teaching principles, to help students to complete their presentations. These included leading questions, probing and follow-ups, checklisting and student-specific questioning strategies. The study informs teachers about how mental mathematics lessons were implemented in the two Grade 3 classrooms to help the students understand mathematics. Teachers should be given courses, workshops and supportive programs on implementing mental computation lessons. This will give teachers the necessary experiences to increase their understanding of how students improve their understanding of mathematics when they are encouraged to share their inventions in class. The study provides a useful template for future studies in all subject areas of mathematics related to mental computation and estimation at all grade levels.
Mental Computation And Estimation
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Author : Charalampos Lemonidis
language : en
Publisher: Routledge
Release Date : 2015-12-01
Mental Computation And Estimation written by Charalampos Lemonidis and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-01 with Education categories.
Mental calculations and estimations are basic, everyday skills that are essential for real-life arithmetic operations and number sense. This book presents a much needed overview and analysis of mental computation and estimation, drawing on contemporary research and empirical studies that were conducted on students, teachers and adults to cover all aspects of this complex field. Mental Computation and Estimation analyses the implications that are involved in the research, teaching and learning of mathematics and delivers effective practices that will enhance everyday learning for students. Focusing on a range of international research and studies from the School of Nature and Life Mathematics in Greece, it answers a number of important questions including: What mental calculations and estimations are, why they are important and what other mathematical concepts and cognitive behaviors are they related to? What strategies are used on mental additions, subtractions, multiplications and divisions and how are multiplication tables learned? What are the new trends in the teaching of mental calculation and estimation? An invaluable resource for all those involved in the practice and research of mathematics education, Mental Computation and Estimation will also be a useful tool for researchers, policy makers and developers of educational programs.
Estimation And Mental Computation
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Author : Harold L. Schoen
language : en
Publisher:
Release Date : 1986
Estimation And Mental Computation written by Harold L. Schoen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
Current And Advanced Researches In Science And Math Education Iii
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Author : Tayfun Tutak
language : en
Publisher: EĞİTİM YAYINEVİ
Release Date : 2024-09-30
Current And Advanced Researches In Science And Math Education Iii written by Tayfun Tutak and has been published by EĞİTİM YAYINEVİ this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-30 with Business & Economics categories.
The Development Of Arithmetic Concepts And Skills
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Author : Arthur J. Baroody
language : en
Publisher: Routledge
Release Date : 2013-06-17
The Development Of Arithmetic Concepts And Skills written by Arthur J. Baroody and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-17 with Education categories.
This volume focuses on two related questions that are central to both the psychology of mathematical thinking and learning and to the improvement of mathematics education: What is the nature of arithmetic expertise? How can instruction best promote it? Contributors from a variety of specialities, including cognitive, developmental, educational, and neurological psychology; mathematics education; and special education offer theoretical perspectives and much needed empirical evidence about these issues. As reported in this volume, both theory and research indicate that the nature of arithmetic expertise and how to best promote it are far more complex than conventional wisdom and many scholars, past and present, have suggested. The results of psychological, educational, and clinical studies using a wide range of arithmetic tasks and populations (including "normally" and atypically developing children, non-injured and brain-injured adults, and savants) all point to the same conclusion: The heart of arithmetic fluency, in general, and the flexible and creative use of strategies, in particular, is what is termed "adaptive expertise" (meaningful or conceptually based knowledge). The construction of adaptive expertise in mathematics is, for the first time, examined across various arithmetic topics and age groups. This book will be an invaluable resource for researchers and graduate students interested in mathematical cognition and learning (including mathematics educators, developmental and educational psychologists, and neuropsychologists), educators (including teachers, curriculum supervisors, and school administrators), and others interested in improving arithmetic instruction (including officials in national and local education departments, the media, and parents).
Affect And Mathematical Problem Solving
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Author : Douglas B. McLeod
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Affect And Mathematical Problem Solving written by Douglas B. McLeod and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Research on cognitive aspects of mathematical problem solving has made great progress in recent years, but the relationship of affective factors to problem-solving performance has been a neglected research area. The purpose of Affect and Mathematical Problem Solving: A New Perspective is to show how the theories and methods of cognitive science can be extended to include the role of affect in mathematical problem solving. The book presents Mandler's theory of emotion and explores its implications for the learning and teaching of mathematical problem solving. Also, leading researchers from mathematics, education, and psychology report how they have integrated affect into their own cognitive research. The studies focus on metacognitive processes, aesthetic influences on expert problem solvers, teacher decision-making, technology and teaching problem solving, and beliefs about mathematics. The results suggest how emotional factors like anxiety, frustration, joy, and satisfaction can help or hinder performance in problem solving.
Handbook Of Research On Mathematics Teaching And Learning
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Author : Douglas Grouws
language : en
Publisher: IAP
Release Date : 2006-11-01
Handbook Of Research On Mathematics Teaching And Learning written by Douglas Grouws and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-01 with Mathematics categories.
Sponsored by the National Council of Teachers of Mathematics and written by leading experts in the field of mathematics education, the Handbook is specifically designed to make important, vital scholarship accessible to mathematics education professors, graduate students, educational researchers, staff development directors, curriculum supervisors, and teachers. The Handbook provides a framework for understanding the evolution of the mathematics education research field against the backdrop of well-established conceptual, historical, theoretical, and methodological perspectives. It is an indispensable working tool for everyone interested in pursuing research in mathematics education as the references for each of the Handbook's twenty-nine chapters are complete resources for both current and past work in that particular area.
Psychological Studies In The Teaching Learning And Assessment Of Mathematics
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Author : Yiming Cao
language : en
Publisher: Frontiers Media SA
Release Date : 2024-05-31
Psychological Studies In The Teaching Learning And Assessment Of Mathematics written by Yiming Cao and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-31 with Science categories.
There is no doubt that the onset of a new decade has brought high expectations of academic progress for scholars, especially for researchers in mathematics education. The International Group for the Psychology of Mathematics Education was born in 1976, which focused on the international exchange of knowledge in the psychology of mathematics education, the promotion of interdisciplinary research with psychologists, mathematicians and mathematics teachers, and the development of the psychological aspects of teaching and learning mathematics and its implications.
Helping Children Learn Mathematics
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Author : Robert Reys
language : en
Publisher: John Wiley & Sons
Release Date : 2020-01-21
Helping Children Learn Mathematics written by Robert Reys and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-21 with Education categories.
The third edition of Reys’ Helping Children Learn Mathematics is a practical resource for undergraduate students of primary school teaching. Rich in ideas, tools and stimulation for lessons during teaching rounds or in the classroom, this edition continues to provide a clear understanding of how to navigate the Australian Curriculum, with detailed coverage on how to effectively use Information and Communications Technology (ICT) in the classroom. This is a full colour printed textbook with an interactive ebook code included. Great self-study features include: auto-graded in-situ knowledge check questions, video of teachers demonstrating how different maths topics can be taught in the classroom and animated, branched chain scenarios are in the e-text.
Proceedings Of The International Conference For The Psychology Of Mathematics Education
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Author :
language : en
Publisher:
Release Date : 1997
Proceedings Of The International Conference For The Psychology Of Mathematics Education written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.