Author : Sandra S. Robinson
Publisher :
Page : 102 pages
File Size : 24,88 MB
Release : 1999
Category : Mathematics
ISBN :
Author : Carmel E. DeMaioribus
Publisher :
Page : 53 pages
File Size : 44,23 MB
Release : 2011
Category : Mathematics
ISBN :
Despite a concerted effort by policy makers and educators to improve U.S. math education, student math scores remain unimpressive. In exploring possible reasons for this, this study examined the role that basic math fact automaticity plays in math success, where automaticity is defined as the ability to recall facts with speed and accuracy at an unconscious level. Information processing theory posits that automaticity frees up cognitive resources for more complex processes, and should therefore be an important part of learning math. To investigate this, basic multiplication fact fluency levels of a group of college students were determined by a timed math probe. These same students also completed a short survey assessing their attitudes and high school math achievements. The students' levels of fluency as demonstrated on the math probe were then compared to their reported math attitudes and achievements. Relationships between levels of fluency and math attitude and achievement were noted. The most interesting finding, however, was the lack of basic multiplication fact automaticity in 90% of the college students tested. The implications of this lack of automaticity present an interesting subject for future study.
Author : Katherine M. Robinson
Publisher : Springer Nature
Page : 285 pages
File Size : 45,43 MB
Release : 2023-05-31
Category : Education
ISBN : 3031291956
This book focuses on elementary and middle school children’s understanding of mathematics as well as the cognitive aspects involved in the development of mathematical knowledge, skills, and understanding. Children’s success in and understanding of mathematics stem from factors beyond the mathematics curriculum. Researchers are increasingly becoming aware of the necessity to consider a complex set of variables when accounting for large individual differences in mathematics achievement. These chapters contribute to how both researchers and educators can consider the multidimensionality of skills involved in developing mathematical knowledge in the middle school years as well as to how this knowledge can be used to enhance practices in the mathematics classroom. Topics include the cognitive and spatial skills involved in mathematics knowledge, the role of motivation in mathematics learning, the neurological processes and development of children’s mathematics skills, the development of understanding of arithmetic and fraction concepts, the factors relating to children’s word problem success, and techniques to promote mathematics understanding. This book and its companion, Mathematical Teaching and Learning, take an interdisciplinary perspective to mathematical learning and development in the elementary and middle school years. The authors and perspectives in this book draw from education, neuroscience, developmental psychology, and cognitive psychology. The book will be relevant to scholars/educators in the field of mathematics education and also those in childhood development and cognition. Each chapter also includes practical tips and implications for parents as well as for educators and researchers.
Author : Scott DeSautel
Publisher : LAP Lambert Academic Publishing
Page : 68 pages
File Size : 40,73 MB
Release : 2015-01-20
Category :
ISBN : 9783659673221
The failure to learn basic math facts to automaticity is the most common indicator of math difficulties. The National Council of Teachers of Mathematics (NCTM) supports the development of automaticity in math facts beginning in the primary grade levels. Three levels of knowledge need to be acquired to reach automaticity in basic math facts -conceptual, procedural, and declarative knowledge. Declarative knowledge of math facts is achieved when facts can be retrieved from memory without hesitation. This work examines the research-base for instruction to help students achieve declarative knowledge in basic math facts. Effective instructional components include delivery systems (i.e., close proximity one-on-one tutoring, computers, and peer tutoring techniques), instructional procedures (i.e., use of strategies, constant time-delay, and missed fact re-representation) and progress monitoring techniques (i.e., explicit timing and graphing). The two programs that use these components, Mastering Math Facts and FASTT Math, are also described.
Author : Karen A. Kemp
Publisher : National Professional Resources Inc./Dude Publishing
Page : 4 pages
File Size : 45,72 MB
Release : 2008
Category : Education
ISBN : 1934032832
This comprehensive resource provides research-based techniques based on the early grade standards and and principles of mathematics as identified by the National Council of Teachers of Mathematics. Though provoking questions about student learning guide the teacher to the appropriate intervention. There are step by step procedures for implementation of each technique, along with measures to monitor students' progress. Reproducible forms allow for easy management and data collection, making this a valuable resource for every classroom. This book specifically addresses the fundamentals of math including the number system, computation, problem solving and the all important language and vocabulary of math. The important topic of motivation is also included.
Author : David C. Geary
Publisher : Academic Press
Page : 378 pages
File Size : 18,70 MB
Release : 2019-01-08
Category : Psychology
ISBN : 0128159529
The fifth volume in the Mathematical Cognition and Learning series focuses on informal learning environments and other parental influences on numerical cognitive development and formal instructional interventions for improving mathematics learning and performance. The chapters cover the use of numerical play and games for improving foundational number knowledge as well as school math performance, the link between early math abilities and the approximate number system, and how families can help improve the early development of math skills. The book goes on to examine learning trajectories in early mathematics, the role of mathematical language in acquiring numeracy skills, evidence-based assessments of early math skills, approaches for intensifying early mathematics interventions, the use of analogies in mathematics instruction, schema-based diagrams for teaching ratios and proportions, the role of cognitive processes in treating mathematical learning difficulties, and addresses issues associated with intervention fadeout.
Author : Nabeel Alsalam
Publisher : Government Printing Office
Page : 412 pages
File Size : 16,22 MB
Release : 1989
Category : Education
ISBN :
Author : John F. Cawley
Publisher : Routledge
Page : 62 pages
File Size : 46,41 MB
Release : 2014-05-22
Category : Education
ISBN : 1135483140
This special issue focuses on mathematics for students with disabilities, particularly on the topic of division. The articles discuss a number of curricula and instructional practices that have direct and meaningful implications for the classroom. They also serve as a foundation for the development of research into effective intervention practices. As a whole this issue provides an opportunity to extract selected features of instruction from the articles found herein and to contrast the effectiveness of two distinct instructional approaches--constructivism and direct/explicit instruction.
Author : National Research Council
Publisher : National Academies Press
Page : 53 pages
File Size : 40,21 MB
Release : 2002-07-31
Category : Education
ISBN : 0309131987
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.
Author : Management Association, Information Resources
Publisher : IGI Global
Page : 1765 pages
File Size : 37,40 MB
Release : 2013-09-30
Category : Education
ISBN : 1466645032
Primary and Secondary education is a formative time for young students. Lessons learned before the rigors of higher education help to inform learners future successes, and the increasing prevalence of learning tools and technologies can both help and hinder students in their endeavors. K-12 Education: Concepts, Methodologies, Tools, and Applications investigates the latest advances in online and mobile learning, as well as pedagogies and ontologies influenced by current developments in information and communication technologies, enabling teachers, students, and administrators to make the most of their educational experience. This multivolume work presents all stakeholders in K-12 education with the tools necessary to facilitate the next generation of student-teacher interaction.
