Language can be simultaneously both a support and a hindrance to students' learning of mathematics. When students have sufficient fluency in the mathematics register so that they can discuss their ideas, they become chiefs who are able to think mathematically. However, learning the mathematics register of an Indigenous language is not a simple exercise and involves many challenges not only for students, but also for their teachers and the wider community. Collaborating to Meet Language Challenges in Indigenous Mathematics Classrooms identifies some of the challenges-political, mathematical, community based, and pedagogical- to the mathematics register, faced by an Indigenous school, in this case a Maori immersion school. It also details the solutions created by the collaboration of teachers, researchers and community members.

Taking a community of practice perspective that highlights the learner as part of a community, rather than a lone individual responsible for her/his learning, this ethnographically-influenced study investigates how Latina/o English Language Learners (ELLs) in middle school mathematics classes negotiated their learning of mathematics and mathematical discourse. The classes in which the Latina/o students were enrolled used a reform-oriented approach to math learning; the math in these classes was - to varying degrees - taught using a hands-on, discovery approach to learning where group learning was valued, and discussions in and about math were critical. This book presents the stories of how six immigrant and American-born ELLs worked with their three teachers of varied ethnicity, education, experience with second language learners, and training in reform-oriented mathematics curricula to gain a degree of competence in the mathematical discourse they used in class. Identity, participation, situated learning, discourse use by learners of English as a Second Language (ESL), framing in language, and student success in mathematics are all critical notions that are highlighted within this school-based research.

This volume represents a detailed analysis of the grade placement of mathematics learning goals across all state-level curriculum standards published as of May 2005. The volume documents the varied grade-level mathematics curriculum expectations in the U.S. and highlights a general lack of consensus across states. As states continue to work to improve learning opportunities for all students this report can serve as a useful summary to inform future curriculum decisions. The report is also intended to stimulate discussion at the national level regarding roles and responsibilities of national agencies and professional organizations with regard to curriculum leadership. Serious and collaborative work that results from such discussions can contribute to a more coherent, focused mathematics curriculum for US students

This book presents the breadth and diversity of empirical and practical work done on statistics education around the world. A wide range of methods are used to respond to the research questions that form it's base. Case studies of single students or teachers aimed at understanding reasoning processes, large-scale experimental studies attempting to generalize trends in the teaching and learning of statistics are both employed. Various epistemological stances are described and utilized. The teaching and learning of statistics is presented in multiple contexts in the book. These include designed settings for young children, students in formal schooling, tertiary level students, vocational schools, and teacher professional development. A diversity is evident also in the choices of what to teach (curriculum), when to teach (learning trajectory), how to teach (pedagogy), how to demonstrate evidence of learning (assessment) and what challenges teachers and students face when they solve statistical problems (reasoning and thinking).

NHM Year 1 Activity Books: Have built-in assessment. Provide a structured development of each separate topic. Use language at an appropriate reading level. Place maths in a variety of contexts. Lead more able children through a range of problem-solving activities.

KS3 Maths Progression Workbooks offer extra practice of key content, along with progression checkers at the end of each Unit and plenty of dynamic student support. * Hundreds of extra practice questions at different levels of difficulty: Mastery, Strengthen and Extend * Guided questions with partially worked solutions, hints and QR codes linking to worked example videos give students crucial support * Progression checkers at the end of each Unit encourage students to take ownership of their learning, and allows them to track their progress as they work through the book. If you're an institution you can get the answers for this book as a free download. If you are a parent or tutor please contact customer services at [email protected] who will send you the download directly.

Success Ahead is an exciting new series of Study Guides designed to help you excel in your Grade 12 exams! The series is aligned to the Grade 12 syllabus and helps you to practise and develop core skills. It also helps you to revise and prepare thoroughly for your exams. The Success Ahead Study Guides are user-friendly and can be used in the classroom or for independent practice at home. They can also be used as a quick reference for challenging content. Practise Revise Pass Excel Succeed!

This title forms part of the Little Library programme, which consists of a Literacy Kit, Numeracy Kit and Life Skills Kit. These were developed to respond to a need for high-quality, indigenous books for the younger members of our communities, and have been successfully used in schools for the last ten years. This title is found in the updated, OBE version of the Little Library Maths Kit, now called the Little Library Numeracy Kit. The Numeracy Kit keeps seven of the best stories, and introduces five new ones - all of them trialled in classrooms around the country. In Keep the change, Ryan has a lucky day when a one hundred Rand note falls into his hands. This sets off a chain of events where his friends and family buy gifts for themselves and also for their loved ones. Mathematical themes include money, totals, buying and working out change.

The Key Stage 2 Maths series covers mathematical technique for SATs and all other styles of mathematical test. This series of books is designed to be used in sequence from Workbook 1 onwards. The workbook series is complemented by a testbook that reinforce a child's mathematical technique and knowledge. Answers, Progress Charts and a Certificate of Achievement are included at the end of every book. All our materials have been rigorously classroom tested. The methodologies have been successfully used in AE Tuition classes for over 30 years.

New Wave Mental Maths is a mental maths programme that aims to strengthen pupils' mental maths abilities - the essential skills that underpin all aspects of the maths curriculum and problem-solving situations. Each book provides daily practice of these skills, with more than enough questions for the entire school year. One of the most useful features of the series is that it ensures pupils meet all areas of the curriculum on a regular basis. This constant contact with the areas of study ensures that pupils are continually revising and consolidating essential maths concepts. * 40-week programme divided into a convenient Monday to Friday daily format, which is ideal for class use or for assigning nightly homework. * Aims to develop fluency in the basics of maths: emphasis is placed on daily computation/table practice to enhance speed and accuracy. * Core maths concepts are developed in each book and precise maths language is used in the questions. * Problem-solving in both pictorial and word format encourages pupils to practise problem-solving strategies mentally. * Strong assessment component is built in - the weekly Friday Review can be used to communicate progress with parents. * Enables pupil to practise and perfect problem-solving strategies using mental problems. * Core mathematical language presented using clear and simple wording. * Sequential developmental and consolidation of core maths concepts. * Can be used in conjunction with the main class maths programme. * Provides lots of opportunities for informal teaching and on-the-spot direct explanations.

The Check-up Workbook includes: Check-ups - which assess specific pieces of work Round-ups - provide assessment of the range of mathematics covered according to the 5-14 Attainment targets. They include an end of level test.

Build student success in math with the only comprehensive guide for developing math talent among advanced learners. The authors, nationally recognized math education experts, offer a focused look at educating gifted and talented students for success in math. More than just a guidebook for educators, this book offers a comprehensive approach to mathematics education for gifted students of elementary or middle school age. The authors provide concrete suggestions for identifying mathematically talented students, tools for instructional planning, and specific programming approaches. "Developing Math Talent" features topics such as: strategies for identifying mathematically gifted learners, strategies for advocating for gifted children with math talent, how to design a systematic math education program for gifted students, specific curricula and materials that support success, and teaching strategies and approaches that encourage and challenge gifted learners.

This booklet is designed to address Unit 3 (Statistics) of the current CCEA GCSE Further Mathematics specification, this is one of a set of four revision resources. * Valuable revision questions with answers. * The questions are arranged into five distinct 'tests'. * NOT from past papers; commissioned specifically for these booklet. * Similar in style to the existing M1 to M8 revision booklets for GCSE Mathematics. * Two of the booklets address the content of Pure Mathematics, one covers Mechanics and this one covers Statistics.

Teaching and learning mathematics is a political act in which children, teachers, parents, and policy makers are made visible as subjects. As they learn about mathematics, children are also learning about themselves - who they are, who they might become. We can choose to listen or not to what children have to say about learning mathematics. Such choices constitute us in relations of power. Mathematical know-how is widely regarded as essential not only to the life chances of individuals, but also to the health of communities and the economic well-being of nations. With the globalisation of education in an increasingly market-oriented world, mathematics has received intensified attention in the first decade of the twenty-first century with a shifting emphasis on utilitarian aspects of mathematics. This is reflected in the reconceptualisation of mathematical competence as mathematical literacy, loosely conceived as those ways of thinking, reasoning and working "mathematically" that allow us to engage effectively in everyday situations, in many occupations, and the cut and thrust of world economies as active, empowered and participatory citizens. It is no surprise then that mathematics has become one of the most politically charged subjects in primary school curricula worldwide. We are experiencing an unprecedented proliferation of regional and national strategies to establish benchmarks, raise standards, enhance achievement, close gaps, and leave no child behind in mathematics education. Industries have sprung up around the design, administration and monitoring of standardised assessment to measure and compare children's mathematical achievement against identified benchmarks and each other.

This edited book promotes thinking, dialogue, research and theorisation on multiple ways of making connections in mathematics teaching and learning in early childhood education. The book addresses some key challenges in research, policy and practice in early childhood mathematics education. It examines diverse ways for learning experiences to connect young children to mathematics, and the importance of forging connections between mathematics and young children's lives as key elements in their engagement with mathematics. Each chapter provides research or theoretical provocations and pedagogical implications for connecting children's lived experiences and ways of learning in mathematics teaching. The chapters are drawn from a range of international authors who raise important ideas within the overall context of current research and consider the theoretical and practical implications of their research. As such, the book advances current thinking on mathematics teaching and learning for children in the early years from birth to eight years with an emphasis on children aged birth to 5 years. It considers the purpose and value in connecting mathematics teaching and learning to children's lives, and provides provocations for both educators and researchers on the many under-researched and under-represented aspects of early years mathematics teaching and learning.

NHM Year 1 Activity Books: Have built-in assessment. Provide a structured development of each separate topic. Use language at an appropriate reading level. Place maths in a variety of contexts. Lead more able children through a range of problem-solving activities.

This book highlights new developments in the teaching and learning of algebraic thinking with 5- to 12-year-olds. Based on empirical findings gathered in several countries on five continents, it provides a wealth of best practices for teaching early algebra. Building on the work of the ICME-13 (International Congress on Mathematical Education) Topic Study Group 10 on Early Algebra, well-known authors such as Luis Radford, John Mason, Maria Blanton, Deborah Schifter, and Max Stephens, as well as younger scholars from Asia, Europe, South Africa, the Americas, Australia and New Zealand, present novel theoretical perspectives and their latest findings. The book is divided into three parts that focus on (i) epistemological/mathematical aspects of algebraic thinking, (ii) learning, and (iii) teaching and teacher development. Some of the main threads running through the book are the various ways in which structures can express themselves in children's developing algebraic thinking, the roles of generalization and natural language, and the emergence of symbolism. Presenting vital new data from international contexts, the book provides additional support for the position that essential ways of thinking algebraically need to be intentionally fostered in instruction from the earliest grades.

Part I: Introduction. Challenging Perspectives on Mathematics Classroom Communication: From Representations to Contexts, Interactions and Politics. Part II: Contributed Chapters. Theme I: Communication: register, representations, context(s).

The answers to all the questions in Maths for Practice & Revision, Books 1-5.

This book is about how teachers can use classroom mathematics tasks to support student learning, and presents data on the ways in which teachers used those tasks in a particular research project. It is the product of research findings focusing on teacher practice, teacher learning and knowledge, and student learning. It demonstrates how teachers can use mathematics tasks to promote effective student learning.

The 2015 TIMSS Grade 9 study was administered in August 2015 by a team of researchers at the Human Sciences Research Council (HSRC) in collaboration with the Department of Basic Education (DBE) and the International Association for the Evaluation of Educational Achievement (IEA). This was the fifth time that South Africa has participated in TIMSS since 1995. In addition to the learner assessment data, the study also collected contextual information from learners, teachers and school principals, making it possible to explore the factors that are related to Grade 9 mathematics and science achievement. This report was written to provide some perspective about how the results of international assessments can be used to provide meaningful national insights. Sections of the report bring together the main findings based on descriptive, inferential and psychometric analysis of the data. The report concludes with recommendations of how the results relate to policy and practice for improving educational quality.