Helping Children Learn Mathematics


Book Description

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.




Beliefs and Attitudes in Mathematics Education


Book Description

Tina Besley has edited this collection which examines and critiques the ways that different countries, particularly Commonwealth and European states, assess the quality of educational research in publicly funded higher education institutions. Such assessment often ranks universities, departments and even individual academics, and plays an important role in determining the allocation of funding to support university research.




The Science of Learning and Development


Book Description

This essential text unpacks major transformations in the study of learning and human development and provides evidence for how science can inform innovation in the design of settings, policies, practice, and research to enhance the life path, opportunity and prosperity of every child. The ideas presented provide researchers and educators with a rationale for focusing on the specific pathways and developmental patterns that may lead a specific child, with a specific family, school, and community, to prosper in school and in life. Expanding key published articles and expert commentary, the book explores a profound evolution in thinking that integrates findings from psychology with biology through sociology, education, law, and history with an emphasis on institutionalized inequities and disparate outcomes and how to address them. It points toward possible solutions through an understanding of and addressing the dynamic relations between a child and the contexts within which he or she lives, offering all researchers of human development and education a new way to understand and promote healthy development and learning for diverse, specific youth regardless of race, socioeconomic status, or history of adversity, challenge, or trauma. The book brings together scholars and practitioners from the biological/medical sciences, the social and behavioral sciences, educational science, and fields of law and social and educational policy. It provides an invaluable and unique resource for understanding the bases and status of the new science, and presents a roadmap for progress that will frame progress for at least the next decade and perhaps beyond.




From beliefs to dynamic affect systems in mathematics education


Book Description

This book connects seminal work in affect research and moves forward to provide a developing perspective on affect as the “decisive variable” of the mathematics classroom. In particular, the book contributes and investigates new conceptual frameworks and new methodological ‘tools’ in affect research and introduces the new field of ‘collectives’ to explore affect systems in diverse settings. Investigated by internationally renowned scholars, the book is build up in three dimensions. The first part of the book provides an overview of selected theoretical frames - theoretical lenses - to study the mosaic of relationships and interactions in the field of affect. In the second part the theory is enriched by empirical research studies and provides relevant findings in terms of developing deeper understandings of individuals’ and collectives’ affective systems in mathematics education. Here pupil and teacher beliefs and affect systems are examined more closely. The final part investigates the methodological tools used and needed in affect research. How can the different methodological designs contribute data which help us to develop better understandings of teachers’ and pupils’ affect systems for teaching and learning mathematics and in which ways are knowledge and affect related?




PISA PISA 2012 Results: What Students Know and Can Do (Volume I, Revised edition, February 2014) Student Performance in Mathematics, Reading and Science


Book Description

This first volume of PISA 2012 results summarises the performance of students in PISA 2012. It describes how performance is defined, measured and reported, and then provides results from the assessment, showing what students are able to do.




Teaching Reading and Teacher Beliefs


Book Description

This book explores language teacher beliefs in English as a Foreign Language (EFL) reading instruction in the context of Chinese university English instructors. Since the 1990s, there has been a renewed interest on teacher beliefs in the domain of language teacher cognition. However, most studies in this area aim at investigating the relationship between particular aspects of teacher beliefs and classroom practices, largely ignoring the complexity of teacher beliefs. This study explores the issue from an alternative perspective by conceptualizing teacher beliefs as a complex, dynamic and multi-faceted system. By adopting five rounds of interview and four classroom observations, the year-long study reveals seven key features of the belief system shared among six participants. It calls for the holistic, complex and insider view to examine teacher beliefs in relation to the sociocultural and historical contexts where the teachers work and live.




Global Perspectives and Practices for Reform-Based Mathematics Teaching


Book Description

Reform-based mathematics has become a popular topic in the education field as this teaching emphasizes classroom discourse and instructional goals related to student engagement and an understanding of mathematical reasoning, concepts, and procedures using instructional practices that build on students’ informal knowledge of mathematics. It also connects mathematics with other disciplines and the real world and provides opportunities for students to contribute and invent their own methods during problem-solving. Further study on the best practices, benefits, and challenges of implementing this teaching into education is required. Global Perspectives and Practices for Reform-Based Mathematics Teaching explores international perspectives on diverse reform-based practices in teaching and learning mathematics, describes challenges and issues for teachers and teacher educators, promotes reflection and academic discussion at various levels and in various educational systems, and raises questions for the field of mathematics education. Covering a range of topics such as teacher preparation programs and integrated learning spaces, this reference work is ideal for academicians, practitioners, researchers, instructors, educators, and students.




Attitudes, Beliefs, Motivation and Identity in Mathematics Education


Book Description

This book records the state of the art in research on mathematics-related affect. It discusses the concepts and theories of mathematics-related affect along the lines of three dimensions. The first dimension identifies three broad categories of affect: motivation, emotions, and beliefs. The book contains one chapter on motivation, including discussions on how emotions and beliefs relate to motivation. There are two chapters that focus on beliefs and a chapter on attitude which cross-cuts through all these categories. The second dimension covers a rapidly fluctuating state to a more stable trait. All chapters in the book focus on trait-type affect and the chapter on motivation discusses both these dimensions. The third dimension regards the three main levels of theorizing: physiological (embodied), psychological (individual) and social. All chapters reflect that mathematics-related affect has mainly been studied using psychological theories.




Research in Education


Book Description




Proceedings of the Fifth International Congress on Mathematical Education


Book Description

International Congresses on Mathematical Education (ICMEs), under the auspices of the International Commission on Mathematical Instruction, are held every four years. Previous Congresses have been held in France (Lyons), England (Exeter), the Federal Republic of Germany (Karlsruhe), and the United States of America (Berkeley). The Fifth International Congress on Mathematical Education (lCME 5) was held in Adelaide, Australia, from August 24-30, 1984. More than 1800 participants from over 70 countries participated in the Congress, while some additional 200 people attended social functions and excursions. The program for ICME 5 was planned and structured by an International Program Committee, and implemented by the National Program Committee in Australia. For the main body of the program, Chief Organisers, assisted by Australian Coordinators, were invited to plan and prepare the individual components of the program which addressed a wide range of topics and interest areas. Each of these teams involved many individuals from around the world in the detailed planning and preparation of the working sessions for their area of program responsibility. For the actual working sessions at the Congress, the smallest group had some 60 members, while the largest had well over 300. In addition to the working sessions, there were three major plenary addresses, several specially invited presentations, and over 420 individual papers in the form of short communications, either as posters or brief talks.