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Why do so many learners, even those who are successful, feel that they are outsiders in the world of mathematics? Taking the central importance of language in the development of mathematical understanding as its starting point, Mathematical Literacy explores students’ experiences of doing mathematics from primary school to university - what they think mathematics is, how it is presented to them, and what they feel about it. Building on a range of theory which focuses on community, knowledge, and identity, the author examines two particular issues: the relationship between language, learning, and mathematical knowledge, and the relationship between identity, equity, and processes of exclusion/inclusion. In this comprehensive and accessible book, the author extends our understanding of the process of gaining mathematical fluency, and provides tools for an exploration of mathematics learning across different groups in different social contexts. Mathematical Literacy’s analysis of how learners develop particular relationships with the subject, and what we might do to promote equity through the development of positive relationships, is of interest across all sectors of education—to researchers, teacher educators, and university educators.
Mathematical Literacy in the Middle and High School Grades gives future and current middle and high school classroom teachers the concepts and practical, hands-on suggestions, activities, lesson plans, skills, and tools they need to enhance and enrich their students' mathematics learning. From its opening overview of the theory behind a variety of new strategies for teaching math to its everyday, concrete assistance, the book helps teachers find and use engrossing ways to introduce math concepts through stories, using hands-on activities to reinforce the concepts. Included are ready-to-use activities busy teachers can incorporate "as is" or adapt to fit their particular classrooms and their students' individual needs.
This book describes the design, development, delivery and impact of the mathematics assessment for the OECD Programme for International Student Assessment (PISA). First, the origins of PISA’s concept of mathematical literacy are discussed, highlighting the underlying themes of mathematics as preparation for life after school and mathematical modelling of the real world, and clarifying PISA’s position within this part of the mathematics education territory. The PISA mathematics framework is introduced as a significant milestone in the development and dissemination of these ideas. The underlying mathematical competencies on which mathematical literacy so strongly depends are described, along with a scheme to use them in item creation and analysis. The development and implementation of the PISA survey and the consequences for the outcomes are thoroughly discussed. Different kinds of items for both paper-based and computer-based PISA surveys are exemplified by many publicly released items along with details of scoring. The novel survey of the opportunity students have had to learn the mathematics promoted through PISA is explained. The book concludes by surveying international impact. It presents viewpoints of mathematics educators on how PISA and its constituent ideas and methods have influenced teaching and learning practices, curriculum arrangements, assessment practices, and the educational debate more generally in fourteen countries.
Why do so many learners, even those who are successful, feel that they are outsiders in the world of mathematics? Taking the central importance of language in the development of mathematical understanding as its starting point, Mathematical Literacy explores students’ experiences of doing mathematics from primary school to university - what they think mathematics is, how it is presented to them, and what they feel about it. Building on a range of theory which focuses on community, knowledge, and identity, the author examines two particular issues: the relationship between language, learning, and mathematical knowledge, and the relationship between identity, equity, and processes of exclusion/inclusion. In this comprehensive and accessible book, the author extends our understanding of the process of gaining mathematical fluency, and provides tools for an exploration of mathematics learning across different groups in different social contexts. Mathematical Literacy’s analysis of how learners develop particular relationships with the subject, and what we might do to promote equity through the development of positive relationships, is of interest across all sectors of education—to researchers, teacher educators, and university educators.
What makes mathematics so confusing to students? To succeed in the study of arithmetic, geometry, or algebra, students must learn what is effectively a second language of mathematical terms and symbols. In Literacy Strategies for Improving Mathematics Instruction, Joan M. Kenney and her coauthors describe common ways in which students misinterpret the language of mathematics, and show teachers what they can do to ensure that their students become fluent in that language. The authors synthesize the research on what it takes to decode mathematical text, explain how teachers can use guided discourse and graphic representations to help students develop mathematical literacy skills, offer guidance on using action research to enhance mathematics instruction, and discuss the importance of student-centered learning and concept-building skills in the classroom. Real-life vignettes of student struggles illuminate the profound effect of literacy problems on student achievement in mathematics. This book will help teachers better understand their students' difficulties with mathematics and take the steps necessary to alleviate them. Abundantly researched and filled with helpful strategies and resources, it is an invaluable resource for mathematics teachers at all levels.
Mathematics plays an important role in today’s world and is used in daily life more than is often appreciated. Mathematical literacy denotes the competence to deal with the mathematical issues of life in modern society. The underlying purpose of this book is to support the development of rich understandings and practices of how an education for mathematical literacy can be realised. The collected works, emerging from several educational systems, offer a fresh perspective on mathematical literacy and the chapters include practical examples that teachers, pre-service teachers, and teacher educators might adapt to their own needs.
Language and communication are important to mathematics just as they are to the other content areas. Mathematical Literacy is a powerful resource that introduces you to a wide spectrum of strategies and approaches for building students' facility in mathematical communication. Mathematical Literacy demonstrates how immersion in the language of math supports improved learning through traditional communication skills such as: reading writing speaking listening as well as math-specific communication skills, including: symbolizing graphing creating diagrams using tables. It provides everything you need to increase the presence of mathematical language in your classroom, guiding you through the ample research base and theoretical underpinnings supporting its ideas, demonstrating implementation through detailed classroom vignettes, and presenting ready-to-use tools and activities that connect theory directly to practice. Whether you are an individual preservice or practicing teacher, part of a teacher book-study group, or creating whole-staff professional learning, Mathematical Literacy promotes professional learning with questions interspersed throughout that encourage reflection and prompt you to action. It offers many paths for teachers to take as they help students to improve their use of mathematical language and grow as mathematicians. Help every student become fluent readers, speakers, and writers of mathematics. Read Mathematical Literacy and give young adolescents new ways to explain their reasoning, make connections, debate their thinking with peers, and share their struggles - in short to understand mathematics deeply.