Chapters in this book recognize the more than forty years of sustained and distinguished lifetime achievement in mathematics education research and development of Jeremy Kilpatrick. Including contributions from a variety of skilled mathematics educators, this text honors Jeremy Kilpatrick, reflecting on his groundbreaking papers, book chapters, and books - many of which are now standard references in the literature - on mathematical problem solving, the history of mathematics education, mathematical ability and proficiency, curriculum change and its history, global perspectives on mathematics education, and mathematics assessment. Many chapters also offer substantial contributions of their own on important themes, including mathematical problem solving, mathematics curriculum, the role of theory in mathematics education, the democratization of mathematics, and international perspectives on the professional field of mathematics education.

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.

Exam Board: Edexcel Level: GCSE Subject: Maths First teaching: September 2015 First exams: June 2017 This book complements the Higher Student Book and can be used alongside the Higher Practice, Reasoning and Problem-solving Book to provide more in-depth practice. Consolidate understanding of key topics to help build confidence Support independent learning with scaffolded warm-up questions at the start of each section and hints to provide help when needed Help students practise reasoning and problem-solving skills with new questions that build on previous learning Challenge students with exam-style mixed exercises where students decide on the appropriate skills to apply.

SHM Activity Books: Provide written records of pupils' work to aid AiFL. Reinforce fluency of number facts and mental calculation strategies through structured development of each topic. Provide topic assessments.

Power Maths is a leading primary maths mastery scheme that offers perfect alignment with the popular White Rose Maths Scheme of Learning. Written by a team of experts, led by Series Editor, Tony Staneff of White Rose Maths. For children who are following either the Power Maths or White Rose scheme, the Practice Books provide additional practice for each lesson that children can complete independently. About: All practice questions are carefully developed to move children on in their thinking and reveal misconceptions. 'Reflect' questions help children to reason and show how deep their understanding is before moving on. Lovable characters prompt and question children to promote reasoning skills and help build resilience. Answers can be downloaded from: https://www.pearsonschoolsandfecolleges.co.uk/primary/global-pages/power-maths-practice-book-answers

Bright, colourful games Flashcards to help children aged 8-9 practise their addition and subtraction! Inside, you'll find a mixture of number cards and sum cards - each with a charming character or illustration. The cards can be used for lots of different games that children can play by themselves or in groups of up to 6. We've also thrown in a few suggestions to get you started.

The quality of primary and secondary school mathematics teaching is generally agreed to depend crucially on the subject-related knowledge of the teacher. However, there is increasing recognition that effective teaching calls for distinctive forms of subject-related knowledge and thinking. Thus, established ways of conceptualizing, developing and assessing mathematical knowledge for teaching may be less than adequate. These are important issues for policy and practice because of longstanding difficulties in recruiting teachers who are confident and conventionally well-qualified in mathematics, and because of rising concern that teaching of the subject has not adapted sufficiently. The issues to be examined in Mathematical Knowledge in Teaching are of considerable significance in addressing global aspirations to raise standards of teaching and learning in mathematics by developing more effective approaches to characterizing, assessing and developing mathematical knowledge for teaching.

Board: Edexcel Examination: Maths Foundation Specification: GCSE 9-1 Type: Practice and Revision (includes answers) (Please note this title is also available for AQA and All Boards) "The Scholastic resources go into far more detail than some of the other revision guides we have used and I've not seen any other resources that have an app linked to them. We would definitely recommend the resources to other schools. Everything you need to revise is in one place to enable students to work independently." Dave Richardson, Deputy Head [in reference to the GCSE English Language & Literature and Mathematics revision guides and exam practice books] Aim for the highest pass with Scholastic's GCSE Grades 9-1 series of Practice and Revision books. Our revision guides cover GCSE exam topics at greater depth, with clear and focused explanations of tricky topics and questions that offer additional challenge and when they are combined with our exam practice books which are packed with hundreds of GCSE exam-style questions covering the key topics for every subject, you'll have everything you need in one book! It's not just practice, each book also includes tips, advice and regular progress checks to boost confidence and help students apply key revision strategies. Every book also includes at least one full practice paper for authentic exam preparation. Full answers are provided to help students check their progress. Taking an active, stepped approach, our guides include popular 'It!' features giving students opportunities to self-test their understanding and apply their knowledge as they study. Do it! Active practice to help you retain key facts Nail it! Examiner tips to help you get better grades Snap it! Read it, snap it on your phone, revise it...helps you retain key facts Stretch it! Support for the really tough stuff that will get you higher grades Work it! Exam questions broken down into manageable steps "What they thought was especially clever is the resources 'knowing' the day of their exam, and then highlighting what they needed to do and when in the days and weeks leading up to it. That captured them there and then." Dave Richardson, Deputy Head [Read the full case study from Brentwood County High School] The accompanying app helps you revise on-the-go: Use the free, personalised digital revision planner and get stuck into the quick tests to check your understanding Download our free revision cards which you can save to your phone to help you revise on the go Implement 'active' revision techniques - giving you lots of tips and tricks to help the knowledge sink in Other subjects covered by Scholastic's Practice and Revision series: Maths Foundation, Maths Higher, SPAG, English Language and Literature, Biology, Chemistry, Physics, Combined Science and Geography

Ideal for whole-class teaching, Abacus gives you all the support you need for motivating maths lessons, and at the same time, offers the flexibility so you can use your professional judgement to suit the needs of your class.

This ground-breaking book investigates how the learning and teaching of mathematics can be improved through integrating the history of mathematics into all aspects of mathematics education: lessons, homework, texts, lectures, projects, assessment, and curricula. It draws upon evidence from the experience of teachers as well as national curricula, textbooks, teacher education practices, and research perspectives across the world. It includes a 300-item annotated bibliography of recent work in the field in eight languages.

A volume in Contemporary Perspectives in Early Childhood Education Series Editors Olivia N. Saracho and Bernard Spodek This volume provides a comprehensive critical analysis of the research in mathematics education for young children. The researchers who conducted the critical analysis focused on the relationship between (1) mathematics learning in the early years and domain specific approaches to cognitive development, (2) the children's social learning and their developing understanding of math, and (3) the children's learning in a natural context and their understanding of mathematics concepts. The work of these scholars can help guide those researchers who are interested in pursuing studies in early childhood mathematics in a specific area of study. This volume will facilitate the research conducted by both novice and expert researchers. The volume has accomplished its major goals, which consists of critically analyzing important research in a specific area that would be most useful in advancing the field and provide recommendations for both researchers and educators.

This CGP Exam Practice Workbook is fully up-to-date for Edexcel's latest 'Grade 9-1' International GCSE Maths course (specification A). It contains a huge range of realistic exam-style questions targeted at the Higher Tier of the specification (with step-by-step answers at the back), along with grade stamps indicating the difficulty level of each question. The questions are arranged by topic, making it easy for students to focus their practice on the areas they find the most challenging. The book is rounded off with two full practice papers for even more exam preparation - the answers to these are available to download from the CGP website. For even more help with this course, don't miss CGP's matching Revision Guide (9781782946694) and Workbook (9781782946724).

Year 3 pupils (ages 7-8) will love this friendly, colourful Study Book - and it's perfectly matched to the latest curriculum! For each topic, there are straightforward study notes and plenty of clear examples explaining all the important skills, with objectives tick-boxes at the bottom of each page so that pupils can mark off their progress. Practice questions are included at the end of each section - these progress in difficulty to give pupils' understanding a thorough workout. On top of that, you'll also find Greater Depth Questions, so pupils can really test their knowledge, plus answers to every question at the back. For even more practice, don't miss our Year 3 Maths Targeted Question Book (9781847622112) - it's bursting with test-style practice for every topic!

Exam Board: SQA Level: National 5 Subject: Maths First Teaching: 2017, First Exam: 2018 The National 5 Maths Student Book helps map your route through the CfE programme and provides comprehensive and authoritative guidance for the whole course. Full coverage of National 5 course specifications with list of learning intentions Attractive layout with clear text features Key questions highlight crucial concepts and techniques that need to be grasped by students in order to progress to the next learning intention What the examiner/assessor is looking for to help teachers & students feel secure Exam-style questions with worked answers and examiners commentary, self-assessment Keep your learning on track/Stretch yourself to encourage self evaluation and provide challenge for higher ability students Student Books give a practical, supportive approach to help deliver the new curriculum and offer an appropriate blend of sound teaching and learning with exam and assessment guidance. * Active learning ideas: 'You Should Already Know', lists for student to check they are confident with before proceeding AND 'Make the link' highlights links between the topic and other areas of the course and/or across different subjects * Assessment questions, exemplar work, model answers, suggested topic work * Teacher Notes Answers online; Numeracy chapters online - probability chapters to ensure N5 students meet numeracy standards. A list of class activity ideas. PDF format

Practise your maths skills with a little help from mammoths David Macaulay's troupe of ever-inquisitive mammoths help you develop core number skills and more in this highly original maths workbook. Do you struggle to engage with maths? Or are you a maths whizz who wants to learn more? Whichever you are, in this wonderful workbook to write in and "do"', Macaulay's endearing mammoths and elephant shrews will take you on a joyful journey through the basics of numbers, counting, calculating, measuring, shapes, data, puzzles, codes, and more! Each maths idea is explained, then reinforced with practice questions and fun activities. The answers are at the back, so you can check you're getting things right. Developed in conjunction with a maths teacher, the Mammoth Maths Workbook covers key areas of the curriculum for children aged 8-11, including fractions, decimal numbers, percentages, multiplication and division, measurement, geometry, patterns and sequences, ratio, and probability. This unique workbook, with mammoths as your guides, is a fun and light-hearted approach to improving maths skills.

Elementary mathematics specialists are teacher leaders who are responsible for supporting effective PK-6 mathematics instruction and student learning. The Association of Mathematics Teacher Educators (AMTE), the Association of State Supervisors of Mathematics, the National Council of Supervisors of Mathematics, and the National Council of Teachers of Mathematics, in a 2010 joint position paper on Elementary Mathematics Specialists (EMSs), all advocate for the use of EMSs to support the teaching and learning of mathematics. The specific roles and expectations of EMSs will vary according to the needs of each setting, "but their expertise and successful experience at the elementary level is critical" (p 1). Elementary Mathematics Specialists: Developing, Refining, and Examining Programs that Support Mathematics Teaching and Learning is AMTE's latest resource supporting the important work of EMSs. It has five sections related to the preparation and professional development of EMSs: (a) Overview and Current State of Affairs; (b) Models of EMS Program Development & Delivery; (c) Supporting EMSs in the Field; (d) The Mathematics Specialist Research; and (e) Future Directions. The book provides support to EMS practitioners, program providers/developers, and researchers seeking to answer important questions about how to prepare Mathematics Specialists, support them in the field, and research their effectiveness.

Two maths coaches who have spearheaded the transition to remote learning in their district have distilled their experience of what works into a guide for teaching maths from a distance. Filled with ready-to-use strategies, this QRG in the new set of Strategies for Distance Learning Guides is organised by 4 priorities: mathematical identity growth mindset reasoning and problem-solving engaging activities Samantha Bennet and Alaina Barkley show how to incorporate routines into online learning that support these priorities, from connecting with students, to supporting their learning with games and problem-solving tasks, to assessing their work. Each 8.5" x 11" multi-panel guide is laminated for extra durability and 3-hole-punched for binder storage.

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.

This book is inspired by Roger E. Howe's contributions to the international communities of mathematics and mathematics education. Renowned for his research contributions in the fields of representation theory, automorphic forms, harmonic analysis, and invariant theory, Dr. Howe has also fundamentally deepened our understanding of the mathematics taught in the early school grades and has challenged and stimulated mathematicians and mathematics educators to work together to examine this part of the mathematical universe more critically and in imaginative new ways. This volume will help summarize and highlight Howe's contributions to several topic areas in mathematics education, demonstrating the possibility and importance of engaging mathematicians in high-impact research in mathematics education, and showcasing the importance of cross-disciplinary collaboration and exchange.

This graduate textbook is concerned with both the formulation and the solution of radiation heat transfer problems in enclosures. The book is essentially self-contained and includes a brief historical survey. The foundations are carefully discussed from the point of view of the exact mathematical basis of boundary value problems and their variational solutions as well as of the physical foundations. The computational methods developed by the authors are used in engineering applications. The combination of exact mathematical modelling with numerical skills makes this a unique textbook.