There are many topics within the scope of the secondary school mathematics curriculum that are clearly of a motivational sort, and because of lack of time they are usually not included in the teaching process. This book provides the teacher 125 individual units - ranging from grades 7 through 12 - that can be used to enhance the mathematics curriculum. Each unit presents a preassessment, instructional objectives, and a detailed description of the topic as well as teaching suggestions. Each unit has a post-assessment. This is the sort of instructional intervention that can make students love mathematics!

The book represents a crop of wide-ranging research conducted by renown scholars in sub-Sahara Africa revolving around mathematics teaching and professional development programs for mathematics teachers. The research-based proposals and actual how-to-conduct professional development initiatives that enhance effective mathematics instruction are rooted in teacher input and informed by learners' errors and misconceptions. The book provides a comprehensive snapshot on mathematics teaching, learning and effective professional development programmes for mathematics teachers in sub-Sahara Africa. It is the only research output that advances and disseminates issues of mathematics education and research in the region with input from South Africa, Kenya, Rwanda, Uganda, Malawi, Namibia, Lesotho, Ethiopia and Zimbabwe.

New wave mental maths is a series of six learner workbooks written for South African primary schools. New wave mental maths provides an ideal platform for the development of mental skills and mathematical concepts.

New wave mental maths provides:

• Comprehensive coverage of mental mathematics concepts.
• Opportunities for consolidation of mathematical concepts.
• Practice in speed of recall.
• Opportunities for reinforcement of ongoing mathematical concepts.
• Sequential development of mathematical concepts.
• A structured daily programme for the whole year.
• Pictorial, graphic and written representation of problems.
• An in-built review and assessment programme (levels D-G)

Each Level provides coverage of all mathematical areas applicable to mental mathematics activities.

Research on the preparation and continued development of mathematics teachers is becoming an increasingly important subset of mathematics education research. Such research explores the attributes, knowledge, skills and beliefs of mathematics teachers as well as methods for assessing and developing these critical aspects of teachers and influences on teaching.

"Research Trends in Mathematics Teacher Education" focuses on three major themes in current mathematics teacher education research: mathematical knowledge for teaching, teacher beliefs and identities, and tools and techniques to support teacher learning. Through careful reports of individual research studies and cross-study syntheses of the state of research in these areas, the book provides insights into teachers' learning processes and how these processes can be harnessed to develop effective teachers. Chapters investigate bedrock skills needed for working with primary and secondary learners (writing relevant problems, planning lessons, being attentive to student learning) and illustrate how knowledge can be accessed, assessed, and nurtured over the course of a teaching career. Commentaries provide context for current research while identifying areas deserving future study. Included among the topics: Teachers' curricular knowledgeTeachers' personal and classroom mathematicsTeachers' learning journeys toward reasoning and sense-makingTeachers' transitions in noticingTeachers' uses of a learning trajectory as a tool for mathematics lesson planning

A unique and timely set of perspectives on the professional development of mathematics teachers at all stages of their careers, "Research Trends in Mathematics Teacher Education" brings clarity and practical advice to researchers as well as practitioners in this increasingly critical arena."

Design effective, learner-driven math interventions with this accessible and thought-provoking guidebook. Learn how to set up instruction to promote participation and understanding, plan purposeful, targeted tasks, develop student thinking, and create tools to assess student work in a way that measures learning, not just performance. Chapters explore questions that educators frequently struggle with when designing interventions, offering user-friendly research and evidence-based strategies to help overcome common hurdles. This book is essential reading for anyone seeking an adaptive approach to Tier 2 and 3 interventions that positions struggling students as competent learners.

Design effective, learner-driven math interventions with this accessible and thought-provoking guidebook. Learn how to set up instruction to promote participation and understanding, plan purposeful, targeted tasks, develop student thinking, and create tools to assess student work in a way that measures learning, not just performance. Chapters explore questions that educators frequently struggle with when designing interventions, offering user-friendly research and evidence-based strategies to help overcome common hurdles. This book is essential reading for anyone seeking an adaptive approach to Tier 2 and 3 interventions that positions struggling students as competent learners.

Guided Math Lessons in First Grade provides detailed lessons to help you bring guided math groups to life. Based on the bestselling Guided Math in Action, this practical book offers 16 lessons, taught in a round of 3-concrete, pictorial, and abstract. The lessons are based on the priority standards and cover fluency, word problems, operations and algebraic thinking, and place value. Author Dr. Nicki Newton shows you the content as well as the practices and processes that should be worked on in the lessons, so that students not only learn the content but also how to solve problems, reason, communicate their thinking, model, use tools, use precise language, and see structure and patterns. Throughout the book, you'll find tools, templates, and blackline masters so that you can instantly adapt the lesson to your specific needs and use it right away. With the easy-to-follow plans in this book, students can work more effectively in small guided math groups-and have loads of fun along the way!

Build key fluency, reasoning and problem-solving skills with extra practice. This book is packed with questions that take small steps to enable sustained progress and is perfect for intervention. - Develop knowledge and understanding with practice questions that get progressively more difficult following a Mastery approach to learning - Support pupils with helpful reminders and explanations alongside hints for trickier questions - Help to engage pupils with questions that relate maths to outside of the classroom and plenty of colourful images - Enable home learning with answers available online

If you were a quadrilateral, you would have four straight sides. You could be a checkerboard, a kite, or a yoga mat. What else could you be if you were a quadrilateral?

This maths scheme is written specifically for Scotland to help implement the recommendations from "Improving Mathematics Education 5-14". It provides an increasing pace of progression; end of level assessment; oral and mental calculation; integral homework; and support for planning. For staff planning maths lessons there are "Organising and Planning Guides, which provide matching charts to "Mathematics Education 5-14" block planners. In the medium and short term the "Teaching File" provides a schematic showing the structure and sequence of teaching, with pages and components needed, and a summary for each mathematical topic. Level A and Level B planning guides show a detailed match between 5-14 attainment targets and the Units in SHM 1, 2 and 3. On introducing maths lessons, "Tune-in" introduces a new section of work, reinforces previous learning, and can be used as pre-teaching assessment "Starters" and other mental activities offer specific activities linked to particular sections of maths, and generic activities for use with a range of different operations. Within the "Teaching File" a broad range of interactive teaching activities give structured progression through each topic. The pupil activities These follow the teaching and provide consolidation, practice and extension work. The "Teaching File" also offers suggestions for a clear follow-up to the main points covered in each lesson: games and activities following on from the pupil materials; extension material; int roduction to a Home Activity; and discussion points. "Scottish Heinemann Maths" provides assessment opportunities linked to the 5 to 14 Guidelines through a range of components: "Tune-ins", "Check-ups", "Round-ups" and "Activity books". The pupil resources comprise activity books, text books and extension books. The activity books reinforce fluency of number facts and mental calculation strategies, using appropriate language to support children's learning. The textbooks offer a structured development of each topic, pr ovide problem solving activities and encourage independent recording. Extension textbooks challenge the more able children.

Based on the fieldwork carried out at two elementary schools, Merits School and Pioneer School, in northeastern China, the monograph details how local schools enacted the New Mathematics Curriculum Reform that was launched in early 2000. The trajectory of the reform implementation at each school was plotted out. Both schools resorted to a long-standing quality control mechanism, i.e., teaching norms, to operationalize the reform ideas. The mechanism functioned by placing teachers under measurable supervision and evaluation aligned with the reform. The schools responded to the reform following school people's raising practical concerns, as well as the established school culture. Merits School arrived at a "two-faced strategy" to cope with the reform. Pioneer School managed to maintain a balance between promoting reform pedagogy and maintaining good test rankings. Both schools marginally involved parents in the implementation of the reform. This study suggests that to achieve success, reformers need to place equal emphasis on the transformation of teachers as well as local policymakers. This book enriches the existing literature on the implementation of mathematics curriculum reform at the school level and brings insights into the schools' implementation decisions, which will appeal to policymakers, curriculum researchers and administrators.

Pupils will learn to do fast and accurate mental calculations using these attractively laid out photocopiable sheets. the book provides a flexible but structured resource for teaching children to understand and use number bonds.

This text provides thorough coverage of algebra and number, carefully graded exercises to give pupils all the practice they need, and clear explanations of mathematical ideas to help understand them.

This booklet addresses Unit 2 (Mechanics) of the current CCEA GCSE Further Mathematics specification, and is one of a set of 4 revision resources. * Valuable revision questions with answers. * The questions are arranged into five distinct 'tests'. * NOT from past papers; commissioned specifically for this 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 Statistics and this one covers Mechanics.

Get kids engaged in maths with real-life problem solving. In each fully illustrated title maths topics are carefully explained in different scenarios. Children are then given problems to solve around the scenario. Topics covered include measurement (inches and centimetres, to litres and millilitres and units of time and days of the week), problems with numbers (by adding, subtracting, division and multiplication and using roman numerals), how to use fractions, decimal places and percentages, shapes (2-D and 3D) and statistics, such as tables, bar graphs, pie charts, and line graphs. Each book is framed around a high interest area, perfect for children aged 7-9.

Strengthen problem-solving skills and challenge more able pupils through extra practice. This book is packed with questions that are perfect for extension activities and learning beyond the curriculum. - Ensure sustained progress and greater depth for more able pupils with challenging practice questions designed to improve their fluency, reasoning and problem-solving skills - Follow a Mastery approach to learning with questions that get progressively more difficult through small steps - Promote conceptual understanding with questions that encourage pupils to apply and reflect on their knowledge - Enable home learning with answers available online

There are many topics within the scope of the secondary school mathematics curriculum that are clearly of a motivational sort, and because of lack of time they are usually not included in the teaching process. This book provides the teacher 125 individual units - ranging from grades 7 through 12 - that can be used to enhance the mathematics curriculum. Each unit presents a preassessment, instructional objectives, and a detailed description of the topic as well as teaching suggestions. Each unit has a post-assessment. This is the sort of instructional intervention that can make students love mathematics!

Strengthen problem-solving skills and challenge more able pupils through extra practice. This book is packed with questions that are perfect for extension activities and learning beyond the curriculum. - Ensure sustained progress and greater depth for more able pupils with challenging practice questions designed to improve their fluency, reasoning and problem-solving skills - Follow a Mastery approach to learning with questions that get progressively more difficult through small steps - Promote conceptual understanding with questions that encourage pupils to apply and reflect on their knowledge - Enable home learning with answers available online

Note that the Floris Books editions of Jamie York's books have been completely revised for UK and European notation, language and metric systems. They are also suitable for use in South Africa, Australia and New Zealand. Experienced maths teacher and consultant Jamie York believes that a love of learning comes through the teacher, so his books are committed to supporting teachers in developing their classroom skills and to fostering a love of maths in their students. Unlike conventional maths textbooks, his books are not full of fancy graphics and contrived ways to make maths fun. Rather, they: -- focus on the essentials, so teachers aren't overwhelmed by endless lists of required materials -- are genuinely interesting and challenging, sparking students' enthusiasm for learning maths -- are developmentally appropriate to the age of the child, thereby encouraging inner mathemetical awareness and thinking -- favour depth over superficiality, to avoid teaching blind procedures to solve meaningless problems. This student's workbook for Class 7 contains practice questions, with room for working, on all the topics a student needs to cover in Steiner-Waldorf Class 7 (age 13-14). The book includes: Arithmetic review topics from previous years. New topics for Class 7: measurement, percents, ratios, rates, geometry, algebra, the square root algorithm. Mental maths: it is as important as ever for children to develop the ability to do calculations in their head. Each worksheet therefore begins with a secion on mental maths, focusing on one of our areas described in the Teacher's Source Book (available separately). Note that this workbook is also available in a pack of ten with a teacher's answer booklet.

In Democracy and Mathematics Education, Kurt Stemhagen and Catherine Henney develop a way of thinking about the nature and purposes of math that is inclusive, participatory, and thoroughly human. They use these ideas to create a school mathematics experience that can enhance students' math abilities and democratic potential. They locate mathematics' origins in human activity and highlight the rich but often overlooked links between mathematical activity and democratic, social practices. Democratic mathematics education foregrounds student inquiry and brings to light the moral dimensions of a discipline that has both remarkable utility and inevitable limitations. For math educators, the book's humanities approach helps to see the subject anew. For philosophers, it provides an important real world context for wrestling with perennial and timely questions, engaging democratic and evolutionary theory to transform school math. This alternative approach to mathematics and mathematics education provides a guide for how to use math to make democracy a larger part of school and wider social life. 2021 Winner of the AESA Critics' Choice Book Award.

In Democracy and Mathematics Education, Kurt Stemhagen and Catherine Henney develop a way of thinking about the nature and purposes of math that is inclusive, participatory, and thoroughly human. They use these ideas to create a school mathematics experience that can enhance students' math abilities and democratic potential. They locate mathematics' origins in human activity and highlight the rich but often overlooked links between mathematical activity and democratic, social practices. Democratic mathematics education foregrounds student inquiry and brings to light the moral dimensions of a discipline that has both remarkable utility and inevitable limitations. For math educators, the book's humanities approach helps to see the subject anew. For philosophers, it provides an important real world context for wrestling with perennial and timely questions, engaging democratic and evolutionary theory to transform school math. This alternative approach to mathematics and mathematics education provides a guide for how to use math to make democracy a larger part of school and wider social life. 2021 Winner of the AESA Critics' Choice Book Award.

In the four decades since Imre Lakatos declared mathematics a "quasi-empirical science," increasing attention has been paid to the process of proof and argumentation in the field -- a development paralleled by the rise of computer technology and the mounting interest in the logical underpinnings of mathematics. Explanantion and Proof in Mathematics assembles perspectives from mathematics education and from the philosophy and history of mathematics to strengthen mutual awareness and share recent findings and advances in their interrelated fields. With examples ranging from the geometrists of the 17th century and ancient Chinese algorithms to cognitive psychology and current educational practice, contributors explore the role of refutation in generating proofs, the varied links between experiment and deduction, the use of diagrammatic thinking in addition to pure logic, and the uses of proof in mathematics education (including a critique of "authoritative" versus "authoritarian" teaching styles).

A sampling of the coverage:

• The conjoint origins of proof and theoretical physics in ancient Greece.
• Proof as bearers of mathematical knowledge.
• Bridging knowing and proving in mathematical reasoning.
• The role of mathematics in long-term cognitive development of reasoning.
• Proof as experiment in the work of Wittgenstein.
• Relationships between mathematical proof, problem-solving, and explanation.

Explanation and Proof in Mathematics is certain to attract a wide range of readers, including mathematicians, mathematics education professionals, researchers, students, and philosophers and historians of mathematics.

Our collected work contains mathematics education research papers. Comparative studies of school textbooks cover content selection, compilation style, representation method, design of examples and exercises, mathematics investigation, the use of information technology, and composite difficulty level, to name a few. Other papers included are about representation of basic mathematical thought in school textbooks, a study on the compilation features of elementary school textbooks, and a survey of the effect of using new elementary school textbooks.