Inside the black box

Inside the black box
Author: Paul Black
Publisher: Granada Learning
Total Pages: 24
Release: 1998
Genre: Education
ISBN: 9780708713815

Offers practical advice on using and improving assessment for learning in the classroom.

Math Exchanges

Math Exchanges
Author: Kassia Omohundro Wedekind
Publisher: Stenhouse Publishers
Total Pages: 216
Release: 2011
Genre: Education
ISBN: 1571108262

Traditionally, small-group math instruction has been used as a format for reaching children who struggle to understand. Math coach Kassia Omohundro Wedekind uses small-group instruction as the centerpiece of her math workshop approach, engaging all students in rigorous "math exchanges." The key characteristics of these mathematical conversations are that they are: 1) short, focused sessions that bring all mathematical minds together, 2) responsive to the needs of the specific group of mathematicians, and 3) designed for meaningful, guided reflection. As in reading and writing workshop, students in math workshop become self-directed and independent while participating in a classroom community of learners. Through the math exchanges, students focus on number sense and the big ideas of mathematics. Teachers guide the conversations with small groups of students, mediating talk and thinking as students share problem-solving strategies, discuss how math works, and move toward more effective and efficient approaches and greater mathematical understanding. Although grounded in theory and research, Math Exchanges: Guiding Young Mathematicians in Small Group Meetings is written for practicing teachers and answers such questions as the following: How can I use a math workshop approach and follow a certain textbook or set of standards? How should I form small groups? How often should I meet with small groups? What should I focus on in small groups? How can I tell if my groups are making progress? What do small-group math exchanges look like, sound like, and feel like?

How I Wish I'd Taught Maths

How I Wish I'd Taught Maths
Author: Craig Barton
Publisher:
Total Pages: 451
Release: 2018
Genre: Effective teaching
ISBN: 9781943920587

Brought to an American audience for the first time, How I Wish I'd Taught Maths is the story of an experienced and successful math teacher's journey into the world of research, and how it has entirely transformed his classroom.

Cognitive Diagnostic Assessment for Education

Cognitive Diagnostic Assessment for Education
Author: Jacqueline Leighton
Publisher: Cambridge University Press
Total Pages: 353
Release: 2007-05-14
Genre: Psychology
ISBN: 1139464280

With the current push toward educational reform, there is great potential for innovation and change, particularly in large scale testing. One area where change is possible is in cognitive diagnostic assessment. Researchers in educational measurement and cognitive psychology are finally in a position to design tests targeted specifically for providing valuable information about students' cognitive strengths and weaknesses. This self-contained volume organizes what is known about cognitive diagnostic assessment in education, including its conceptual and philosophical basis, methods, and applications. The complete list of topics includes educational demand, philosophical rationale, construct validity, cognitive methods, test construction, statistical models, and unresolved issues (e.g., how to best translate diagnostic information into teaching practices). Leighton and Gierl present a comprehensive and up-to-date examination of cognitive diagnostic assessment in education.

Diagnostic Competence of Mathematics Teachers

Diagnostic Competence of Mathematics Teachers
Author: Timo Leuders
Publisher: Springer
Total Pages: 264
Release: 2017-11-09
Genre: Education
ISBN: 3319663275

This book examines the various areas of mathematics education and neighboring disciplines that have recently contributed to a better understanding of the still vague construct of diagnostic competence. The work addresses the nature, development and effect of diagnostic competence in mathematics instruction, with a focus on the professional development of teachers.

Knowing What Students Know

Knowing What Students Know
Author: National Research Council
Publisher: National Academies Press
Total Pages: 383
Release: 2001-10-27
Genre: Education
ISBN: 0309293227

Education is a hot topic. From the stage of presidential debates to tonight's dinner table, it is an issue that most Americans are deeply concerned about. While there are many strategies for improving the educational process, we need a way to find out what works and what doesn't work as well. Educational assessment seeks to determine just how well students are learning and is an integral part of our quest for improved education. The nation is pinning greater expectations on educational assessment than ever before. We look to these assessment tools when documenting whether students and institutions are truly meeting education goals. But we must stop and ask a crucial question: What kind of assessment is most effective? At a time when traditional testing is subject to increasing criticism, research suggests that new, exciting approaches to assessment may be on the horizon. Advances in the sciences of how people learn and how to measure such learning offer the hope of developing new kinds of assessments-assessments that help students succeed in school by making as clear as possible the nature of their accomplishments and the progress of their learning. Knowing What Students Know essentially explains how expanding knowledge in the scientific fields of human learning and educational measurement can form the foundations of an improved approach to assessment. These advances suggest ways that the targets of assessment-what students know and how well they know it-as well as the methods used to make inferences about student learning can be made more valid and instructionally useful. Principles for designing and using these new kinds of assessments are presented, and examples are used to illustrate the principles. Implications for policy, practice, and research are also explored. With the promise of a productive research-based approach to assessment of student learning, Knowing What Students Know will be important to education administrators, assessment designers, teachers and teacher educators, and education advocates.

Teach Math Like This, Not Like That

Teach Math Like This, Not Like That
Author: Matthew L. Beyranevand
Publisher: Rowman & Littlefield
Total Pages: 105
Release: 2017-05-24
Genre: Education
ISBN: 1475833628

Teaching mathematics is one of the most difficult and important jobs that anyone can do. Mathematics is a critical part of education and an essential building block for problem solving skills that are needed in the real world. However, many students struggle to learn and understand mathematical concepts and educators need to do everything possible to help our students learn. This book focuses on four areas necessary to be an impactful teacher of mathematics: Planning, Pedagogy, Assessment, and Relationships. For each of the ideas presented in the book, a brief introduction will be shared and then two different perspectives will be detailed with examples. The first is Not like This which is often the traditional way of teaching mathematics or the less effective approach. The second perspective is Teach Like This which is my recommended approach based upon research and my own experience as a teacher, math coordinator, and graduate instructor of math education.