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The book aims at showing the state-of-the-art in the field of modeling and applications in mathematics education. This is the first volume to do this. The book deals with the question of how key competencies of applications and modeling at the heart of mathematical literacy may be developed; with the roles that applications and modeling may play in mathematics teaching, making mathematics more relevant for students.
An eyeopening look at how teachers can use literacy strategies to help students better understand mathematics.
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.
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.
Learn how to work more effectively with K–5 parents to increase student achievement in math and literacy. Research shows that parent involvement in schools leads to higher test scores and more engaged and enthusiastic students, but it isn’t always easy for teachers to bridge the gap between the home and the school. This insightful book provides helpful, research-based strategies to foster meaningful home–school partnerships and overcome the challenges teachers often face when trying to build relationships with parents. You’ll learn new ways to: Promote parent involvement at home and school; Share specific math and literacy strategies with parents to reinforce children’s learning; Plan and organize effective parent conferences that foster true dialogue about a child’s education; Communicate with parents about what you’re teaching and how you’re teaching it, so they can actively contribute to their child’s learning at home; Develop family nights and workshops to get parents involved in learning at school; Recommend games, activities, and projects that parents can use at home to help their children practice math and literacy skills; And much more! Each chapter is full of practical tools such as Common Core-aligned strategies, useful resources for parents, and sample parent letters that you can use to increase and improve your home–school communications. Bonus: Additional parent letters on a variety of topics are available on our website, www.routledge.com/ 9781138998698, to help you keep parents connected throughout the year.
Typically, most people don’t realize when and how they can use the mathematics they were taught in high school – yet many of the mathematical ideas and skills can be a powerful tool for understanding how the world works. Learning and Teaching for Mathematical Literacy addresses this situation, offering practical strategies for developing a broader vision of mathematical literacy in the classroom and recognising the importance of maintaining these skills into adult life. Linked to the material explored throughout this book, classroom activities and lesson materials are freely available for use via the QR codes included in each chapter. Filled with case studies and classroom activities, chapters tackle several topics: Describing a framework for a broader vision of mathematical literacy – what is it, and why is it important? Teaching mathematical literacy in the classroom Applying mathematical literacy to ‘real life’ scenarios: My dad is buying a new dishwasher. Should he buy the extended warranty on offer? My phone works fine but I've been offered an upgrade. How should I decide whether to take it? The role of technology in teaching mathematical literacy Designing mathematical measures for real-word quantities Firmly grounded by practical applications for the classroom and beyond, this is an essential handbook for any teacher, teaching assistant, or mathematics subject lead who wishes to develop their students’ mathematical literacy skills. This is also an ideal resource for those delivering or enrolled in teacher preparation courses.
Do word problems and math vocabulary confuse students in your mathematics classes? Do simple keywords like "value" and "portion" seem to mislead them? Many words that students already know can have a different meaning in mathematics. To grasp that difference, students need to connect English literacy skills to math. Successful students speak, read, write, and listen to each other so they can understand, retain, and apply mathematics concepts. This book explains how to use 10 classroom-ready literacy strategies in concert with your mathematics instruction. You’ll learn how to develop students who are able to explain to themselves - and communicate to others - what problems mean and how to attack them. Embedding these strategies in your instruction will help your students gain the literacy skills required to achieve the eight Common Core State Standards for Mathematics. You’ll discover the best answer to their question, "When am I ever going to use this?" The 10 Strategies: 1. Teaching mathematical words explicitly 2. Teaching academic words implicitly 3. Reinforcing reading comprehension skills that apply to mathematics 4. Teaching mathematics with metaphor and gesture 5. Unlocking the meaning of word problems 6. Teaching note-taking skills for mathematics 7. Using language-based formative assessment in mathematics 8. Connecting memorization to meaning in mathematics 9. Incorporating writing-to-learn activities in mathematics 10. Preparing students for algebraic thinking
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.
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.