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Solo Taxonomy in Mathematics

Author: Pam Hook
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In view of the research indicating that approaches to teaching mathematics vary in their effectiveness, choosing the appropriate pedagogy is critical to students' mastery of essential skills and ability to apply them. SOLO Taxonomy in Mathematics makes the decision easy with SOLO Taxonomy, a simple but effective model of learning outcomes. Looking through the lens of SOLO, mathematics educators and students can focus firmly on the complexity of the learning outcome - differentiating surface, deep and conceptual levels of understanding. This knowledge then helps to identify explicit next steps and to prompt for understanding.


Enhancing Teaching and Learning through Assessment

Author: Steve Frankland
Publisher: Springer Science & Business Media
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Assessment is the daily life of a teacher; designing plans, setting questions, giving feedback and grading are all activities that teachers undertake on a regular basis. This book provides a practical guide on the effective use of assessment. It includes the use of assessment tools and pedagogical design that help students deepen their learning. Major issues on assessment and some excellent examples are presented as a useful resource to university teachers in enhancing teaching and students' learning.


Understanding and Enriching Problem Solving in Primary Mathematics

Author: Patrick Barmby
Publisher: Critical Publishing
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This up to date book is essential reading for all those teaching or training to teach primary mathematics. Problem solving is a key aspect of teaching and learning mathematics, but also an area where teachers and pupils often struggle. Set within the context of the new primary curriculum and drawing on research and practice, the book identifies the key knowledge and skills required in teaching and learning problem solving in mathematics, and examines how these and can be applied in the classroom. It explores the issues in depth while remaining straightforward and relevant, emphasises the enrichment of maths through problem-solving, and provides opportunities for teachers to reflect on and further develop their classroom practice.


Theories of Mathematics Education

Author: Bharath Sriraman
Publisher: Springer Science & Business Media
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Advances in Mathematics Education is a new and innovative book series published by Springer that builds on the success and the rich history of ZDM—The Inter- tional Journal on Mathematics Education (formerly known as Zentralblatt für - daktik der Mathematik). One characteristic of ZDM since its inception in 1969 has been the publication of themed issues that aim to bring the state-of-the-art on c- tral sub-domains within mathematics education. The published issues include a rich variety of topics and contributions that continue to be of relevance today. The newly established monograph series aims to integrate, synthesize and extend papers from previously published themed issues of importance today, by orienting these issues towards the future state of the art. The main idea is to move the ?eld forward with a book series that looks to the future by building on the past by carefully choosing viable ideas that can fruitfully mutate and inspire the next generations. Taking ins- ration from Henri Poincaré (1854–1912), who said “To create consists precisely in not making useless combinations and in making those which are useful and which are only a small minority.


Research in Mathematics Education in Australasia

Author: Bill Atweh
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The Mathematics Education Research Group of Australia (MERGA) was officially constituted in 1980. In 1984, MERGA produced the first review of the mathematics education research carried out in that region. This book is the third in that series of research reviews. An overview provides the context in which the Australian research was conducted and relates that to an international context for mathematics education research. A total of 12 chapters have been divided into 3 parts with 4 chapters per part. Part 1 considers the social context within which mathematics educators carry out their research. Part 2 considers the role of cognition, language, learning strategies, and technology in learning mathematics. Part 3 focuses on particular areas of mathematics learning. The chapters are as follows: (1) "Politics of Mathematics Education in Australia" (J. Thomas); (2) "The Social and Cultural Context of Mathematics Education" (B. Atweh, T. Cooper, and C. Kanes); (3) "Gender: A Critical Variable in Mathematics Education" (G. Leder and H. Forgasz); and (4) "Research in Practice: Teachers as Researchers" (J. Mousley); (5) "Cognitive Studies in Mathematics Education" (L. English-Halford); (6) "Research in Learning Strategies in Mathematics" (K. Y. Wong and T. Herrington); (7) "Calculators and Computers in Teaching and Learning of Mathematics" (B. Doig, M. Carss, and P. Galbraith); and (8) "Language Factors in Mathematics Education" (N. Ellerton and P. Clarkson); (9) "Research on Early Childhood Mathematics Development" (R. Perry, J. Mulligan, and R. Wright); (10) "Research in Mathematical Problem Solving" (I. Putt and I. Isaacs); (11) "Research in Geometry and Measurement" (G. Davey and J. Pegg); and (12) "Research in Teaching and Learning Algebra" (M. Macgregor and C. Quinlan). A list of contributors is provided. (MDH)


Mathematics Assessment and Evaluation

Author: Thomas A. Romberg
Publisher: SUNY Press
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Are current testing practices consistent with the goals of the reform movement in school mathematics? If not, what are the alternatives? How can authentic performance in mathematics be assessed? These and similar questions about tests and their uses have forced those advocating change to examine the way in which mathematical performance data is gathered and used in American schools. This book provides recent views on the issues surrounding mathematics tests, such as the need for valid performance data, the implications of the Curriculum and Evaluation Standards for School Mathematics for test development, the identification of valid items and tests in terms of the Standards, the procedures now being used to construct a sample of state assessment tests, gender differences in test taking, and methods of reporting student achievement.


Teaching Mathematics in the Visible Learning Classroom High School

Author: John Almarode
Publisher: Corwin Press
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Select the right task, at the right time, for the right phase of learning How do you generate that lightbulb “aha” moment of understanding for your students? This book helps to answer that question by showing Visible Learning strategies in action in high-impact mathematics classrooms. Walk in the shoes of teachers as they engage in the countless micro-decisions required to balance strategies, tasks, and assessments, demonstrating that it’s not only what works, but when. A decision-making matrix and grade-leveled examples help you leverage the most effective teaching practices at the most effective time to meet the surface, deep, and transfer learning needs of every student.


Key Ideas in Teaching Mathematics

Author: Anne Watson
Publisher: OUP Oxford
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Big ideas in the mathematics curriculum for older school students, especially those that are hard to learn and hard to teach, are covered in this book. It will be a first port of call for research about teaching big ideas for students from 9-19 and also has implications for a wider range of students. These are the ideas that really matter, that students get stuck on, and that can be obstacles to future learning. It shows how students learn, why they sometimes get things wrong, and the strengths and pitfalls of various teaching approaches. Contemporary high-profile topics like modelling are included. The authors are experienced teachers, researchers and mathematics educators, and many teachers and researchers have been involved in the thinking behind this book, funded by the Nuffield Foundation. An associated website, hosted by the Nuffield Foundation, summarises the key messages in the book and connects them to examples of classroom tasks that address important learning issues about particular mathematical ideas.


Journal for Research in Mathematics Education

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Investigations in Mathematics Education

Author: ERIC Clearinghouse for Science, Mathematics, and Environmental Education
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