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This updated edition provides strategies for deepening students' understanding of math concepts, involving students in standards-based rubric development, and using rubric data to improve instruction.
Integrates the explicit teaching practices that have proven effective for students with disabilities with the NCTM math standards that dominant current mathematics practices in the United States Part 1 of the book covers the fundamentals of mathematics assessment and instructional design. In Part 2, the detailed scope and sequence charts, along with instructional guidelines keyed to the objectives, provide teachers with specific guidelines for assessment and design. Future or current teachers who will be educating students with diverse abilities in mathematics.
This book is about the role and potential of using digital technology in designing teaching and learning tasks in the mathematics classroom. Digital technology has opened up different new educational spaces for the mathematics classroom in the past few decades and, as technology is constantly evolving, novel ideas and approaches are brewing to enrich these spaces with diverse didactical flavors. A key issue is always how technology can, or cannot, play epistemic and pedagogic roles in the mathematics classroom. The main purpose of this book is to explore mathematics task design when digital technology is part of the teaching and learning environment. What features of the technology used can be capitalized upon to design tasks that transform learners’ experiential knowledge, gained from using the technology, into conceptual mathematical knowledge? When do digital environments actually bring an essential (educationally, speaking) new dimension to classroom activities? What are some pragmatic and semiotic values of the technology used? These are some of the concerns addressed in the book by expert scholars in this area of research in mathematics education. This volume is the first devoted entirely to issues on designing mathematical tasks in digital teaching and learning environments, outlining different current research scenarios.
This book is the product of ICMI Study 22 Task Design in Mathematics Education. The study offers a state-of-the-art summary of relevant research and goes beyond that to develop new insights and new areas of knowledge and study about task design. The authors represent a wide range of countries and cultures and are leading researchers, teachers and designers. In particular, the authors develop explicit understandings of the opportunities and difficulties involved in designing and implementing tasks and of the interfaces between the teaching, researching and designing roles – recognising that these might be undertaken by the same person or by completely separate teams. Tasks generate the activity through which learners meet mathematical concepts, ideas, strategies and learn to use and develop mathematical thinking and modes of enquiry. Teaching includes the selection, modification, design, sequencing, installation, observation and evaluation of tasks. The book illustrates how task design is core to effective teaching, whether the task is a complex, extended, investigation or a small part of a lesson; whether it is part of a curriculum system, such as a textbook, or promotes free standing activity; whether the task comes from published source or is devised by the teacher or the student.
This comprehensive, research-based book helps teachers use standards-linked assessments to collect accurate formative data about students' strengths and weaknesses and increase mathematical understandings for all learners.
Exploring classroom assessment in mathematics: guidelines for professioanl development.
Fully engage learners in your classroom. Discover how to create high-quality assessments using a five-phase design protocol. Explore types and traits of quality assessment, and learn how to develop assessments that are innovative, effective, and engaging. Evaluate whether your current assessments meet the design criteria, and discover how to use this process collaboratively with your team.
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