Mathematics, Education, and Other Endangered Species


Book Description

This book examines the critical roles and effects of mathematics education. The exposition draws from the author’s forty-year mathematics career, integrating his research in the psychology of mathematical thinking into an overview of the true definition of math. The intention for the reader is to undergo a “corrective” experience, obtaining a clear message on how mathematical thinking tools can help all people cope with everyday life. For those who have struggled with math in the past, the book also aims to clarify that math learning difficulties are likely a result of improper pedagogy as opposed to any lack of intelligence on the part of the student. This personal treatise will be of interest to a variety of readers, from mathematics teachers and those who train them to those with an interest in education but who may lack a solid math background.




Mathematics Teachers


Book Description




Embedded Formative Assessment


Book Description

Formative assessment plays an important role in increasing teacher quality and student learning when it’s viewed as a process rather than a tool. Emphasizing the instructional side of formative assessment, this book explores in depth the use of classroom questioning, learning intentions and success criteria, feedback, collaborative and cooperative learning, and self-regulated learning to engineer effective learning environments for students.




Handbook of Formative Assessment


Book Description

Formative assessment has recently become a focus of renewed research as state and federal policy-makers realize that summative assessments have reached a point of diminishing returns as a tool for increasing student achievement. Consequently, supporters of large-scale testing programs are now beginning to consider the potential of formative assessments to improve student achievement. The mission of this handbook is to comprehensively profile this burgeoning field of study. Written by leading international scholars and practitioners, each chapter includes a discussion of key issues that dominate formative assessment policy and practice today, as well as those that are likely to affect research and practice in the coming years. Key features include: Comprehensive – nineteen chapters cover all aspects of formative assessment including classroom assessment, large-scale applications, technological applications, applications for special needs students, K-12 and post-secondary applications, psychometric considerations, case studies, and discussion of alternative assessment formats such as portfolios and performance assessments. Integrative – thoughtful attention is given to the integration of large-scale and classroom assessments. Practical – provides practical guidance on how to conduct formative assessments that generate credible information to guide instruction. Global – provides perspectives from leading international scholars and practitioners whose expertise spans diverse settings, student populations, and educational systems. Accessible Style – although grounded in the latest research, the book’s style and tone has been carefully crafted to make it accessible to both the textbook and professional markets. It will also be a critical reference book for researchers in teacher preparation, educational administration, and educational policy studies.




Assessment of learning


Book Description

Assessment of learning Characteristics Objective Advantages Disadvantages




Learning How to Learn


Book Description

Learning how to learn is an essential preparation for lifelong learning. This book offers a set of in-service resources to help teachers develop new classroom practices informed by sound research. It builds on previous work associated with ‘formative assessment’ or ‘assessment for learning’. However, it adds an important new dimension by taking account of the conditions within schools that are conducive to the promotion, in classrooms, of learning how to learn as an extension of assessment for learning. Among the materials included you will find: an introductory in-service session self-evaluation questionnaires an action planning activity workshops tools for school development a network mapping activity guidance about different ways of using the resources teachers descriptions of ways they have used of adapted them references to further information and advice. In addition, there is a support website and examples of how individual schools have used or adapted these materials to maximize their benefits.




Knowing and Not Knowing


Book Description

The social world is saturated with powerful formations of knowledge that colonise individual and institutional identities. Some knowledge emerges as legitimised and authoritative; other knowledge is resisted or repressed. Psychosocial approaches highlight the unstable basis of knowledge, learning and research; of knowing and not knowing. How do we come to formulate knowledge in the ways that we do? Are there other possible ways of knowing that are too difficult or unsettling for us to begin to explore? Do we need the authority of legitimised institutions and regularized methods to build secure knowledge? What might it mean to build insecure edifices of knowledge? How might we trouble notions of knowledge in processes of teaching, learning and research? This collection addresses these questions, drawing on a range of psychoanalytic and social theory, from Bion, Freud and Lacan, to Derrida, Kristeva and Zizek. Showcasing work from North America, Europe and Japan, contributors explore writing as a practice that can stabilise or unsettle subjectivities; the unconscious relations between school practices, subjectivities, educational spaces and ideologies; implications of the productive energies and the deadening inwardness associated with mourning and melancholia for formal and informal learning; and the authority we invest in apparently rigid or ephemeral institutional spaces. Strongly empirical as well as theoretical in approach, this collection will be of interest to students and academics seeking ways to resist normative orders of legitimacy and coherence in education and research. This book was originally published as a special issue of Pedagogy, Culture & Society.










Mathematics & Mathematics Education: Searching for Common Ground


Book Description

This book is the fruit of a symposium in honor of Ted Eisenberg concerning the growing divide between the mathematics community and the mathematics education community, a divide that is clearly unhealthy for both. The work confronts this disturbing gap by considering the nature of the relationship between mathematics education and mathematics, and by examining areas of commonality as well as disagreement. It seeks to provide insight into the mutual benefit both stand to gain by building bridges based on the natural bonds between them.