The book focuses on the latest developments of the Anthropological Theory of the Didactic (ATD) and its links with other approaches in mathematics education. Leading researchers in the ATD and especially its creator, Yves Chevallard, present recent research results, theoretical advances and new methodologies in this approach, concerning critical educational problems at all levels. The book is addressed to researchers in mathematics education and all related fields, to teacher educators and teachers in primary, secondary and tertiary education interested in curriculum issues and research in didactics. The book includes four sections that correspond to four axes of current research in the framework of the ATD. The first one studies the relations between the ATD and other research frameworks. The second section focuses on the crucial role of didactics in teacher education, and the experiences carried out at different instructional levels. The third section addresses the curriculum problem in the historical transition from the classical paradigm of visiting works to the emerging didactic paradigm of questioning the world. The last section is about research in didactics at the university level, with investigations about the analysis of didactic transposition processes and the design and implementation of various instructional formats.

The only official Minecraft maths book for children aged 5-6! Children embark on a Minecraft adventure in each maths topic, using their maths skills and knowledge to complete the tasks and earn rewards. This is a write-in maths practice workbook which uses the Minecraft game as a mechanism for practising the key maths skills covered in Year 1. Accomplish maths activities to help Minecraft characters on their missions Explore different biomes in each topic Earn emeralds as you work through the book, and choose how you spend them Go hardcore with challenging questions

Hierdie 3 in 1 publikasie ondersoek die dieper vlakke van al die noodsaaklike komponente van die KABV-kurrikulum. Leerders wat hierdie indiepte studiegids aanpak, sal toekenning verdien soos hulle stap-vir-stap vorige onsekerhede te bowe kom en ‘n suksesvolle pad vorentoe verseker. Dit bied: Omvattende Notas en Uitgewerkte Voorbeelde per onderwerp. Oefeninge wat gegradeer is om die logika en tegnieke wat vereis word, te bevorder. Gedetailleerde Oplossings vir alle oefeninge, plus ’n omvattende eksamen (vraestel 1 & vraestel 2) met volledige verduidelikings vir deeglike vaslegging en finale eksamenvoorbereiding. Hierdie effektiewe studiegids hersien al die noodsaaklike beginsels wat in vorige grade gedek is. Die leerder se begrip word deur stap-vir-stap notas uitgebrei en uitgewerkte voorbeelde word gebruik om nuwe werk bekend te stel. Die opsommings en handige wenke dra daartoe by dat die leerders die studiemateriaal as geheel verstaan en sodoende word selfvertroue en vaardigheid by die Graad 11-leerder bevorder. Hierdie boek waarborg die ontwikkeling van ’n stewige grondslag vir elke leerder wat vir die Graad 11 en 12 Wiskunde-eksamens voorberei en wat vasbeslote is dat hulle wil uitblink, ’n besliste weg na oop deure vir hul toekoms!

Hierdie 3 in 1 studiegids is met uiterste noukeurigheid ontwikkel vir die groot aantal leerders wat vir hierdie gewilde vak inskryf. Dit bevat: Omvattende Notas en Uitgewerkte Voorbeelde in al 7 onderwerpe, Oefeninge en Toets jou Begrippe vir elke onderwerp en Gedetailleerde Antwoorde met Verduidelikings & nuttige wenke. Dit bied bondige, toeganklike notas, duidelik uitgewerkte voorbeelde en vaslegging van konsepte deur gegradeerde oefeninge en toetse. Hierdie boek word ten sterkste aanbeveel en waarborg sukses, maak voorsiening vir ‘n wye verskeidenheid leerders deur die kurrikuluminhoud op ‘n interessante en genotvolle manier aan te bied. Hierdie boek is al wat jy nodig het om vir die eindeksamen in Wiskundige Geletterdheid voor te berei.

Why do some students achieve more than others? Do we have to wait until pupils are ready? Can children discover math for themselves? Does language interfere with the learning of math? This classic text, written from the viewpoint of the math teacher, provides answers to these and many more questions. Each chapter explores a particular issue that illustrates the interaction between theory and practice. New chapters have been included on cognition, pattern, and ICT.

Teacher education seeks to transform prospective and/or practicing teachers from neophyte possibly uncritical perspectives on teaching and learning to more knowledgeable, adaptable, analytic, insightful, observant, resourceful, reflective and confident professionals ready to address whatever challenges teaching secondary mathematics presents.

This transformation occurs optimally through constructive engagement in tasks that foster knowledge for teaching secondary mathematics. Ideally such tasks provide a bridge between theory and practice, and challenge, surprise, disturb, confront, extend, or provoke examination of alternatives, drawn from the context of teaching. We define tasks as the problems or activities that, having been developed, evaluated and refined over time, are posed to teacher education participants. Such participants are expected to engage in these tasks collaboratively, energetically, and intellectually with an open mind and an orientation to future practice. The tasks might be similar to those used by classroom teachers (e.g., the analysis of a graphing problem) or idiosyncratic to teacher education (e.g., critique of videotaped practice).

This edited volume includes chapters based around unifying themes of tasks used in secondary mathematics teacher education. These themes reflect goals for mathematics teacher education, and are closely related to various aspects of knowledge required for teaching secondary mathematics. They are not based on the conventional content topics of teacher education (e.g., decimals, grouping practices), but on broad goals such as adaptability, identifying similarities, productive disposition, overcoming barriers, micro simulations, choosing tools, and study of practice. This approach is innovative and appeals both to prominent authors and to our target audiences.

This CGP Workout Book is packed with enjoyable practice exercises for Year 4 KS2 Maths (ages 8-9). Presented in a fun and friendly style, it's a great way to help make sure children have really got to grips with all the important topics. Answers are included in a removable section at the back of the book, so it's simple to find out how well they're progressing.

This all-in-one Study & Question book is a brilliant way for Year One pupils (ages 5-6) to get to grips with Key Stage One Maths. For every topic, there's a page of clear, colourful notes that summarises all the important skills. This is followed by a page of practice questions to test children on what they've just learned. The book also contains two objective tests - one to assess children's skills at the start of Year One, and one to measure their progress at the end of the year. All the answers are included in a cut-out-and-keep section in the middle of the book, and there's an explanation of all the key maths terms at the back.

This CGP Key Stage Two Mental Maths Workout Book is packed with essential practice exercises for Year 3 pupils (ages 6-7) - including a section of 'Time Yourself' tests. Presented in a fun and friendly style, it's a great way to help make sure children have really got to grips with working out maths problems in their heads. Answers are included in a removable section, so it's simple to find out how well they're progressing.

Category Description for Kumon Math Workbooks (1-6):

A math program based on the Kumon method. Basically, the earmarks of this system are:

• Concepts introduced in small, incremental steps, allowing children to master them without confusion
• Single topic books rather than mixed strands. Children concentrate just on addition, for example, before moving to subtraction
• Concepts are taught by discovery method than being spelled out

The series is meant to be self-directed. Students take charge of their own learning on every level. They complete pages, check their work, record their scores, and determine whether to move on or review. The pace almost guarantees success. Children should work a "few" pages a day; assignments should take about 20 minutes to complete. Pages are marked with the skill level required at top and the points each question is valued at (a very young child will need some help totaling points). Very short instruction (or an example) is given on a few pages. For example, there is a short explanation when children begin to subtract a 2-digit number from a 3-digit number where borrowing is needed. However, the child is given every opportunity to intuit this beforehand. By the time he reaches this page, he has already been subtracting double-digit numbers for many pages. Some of these would require borrowing, but, since they are able to subtract, say, 7 from 12, the Kumon method wants the child to see a pattern when increasing to 7 from 22, 7 from 32, etc. This does remind me of the approach used in Miquon as well. Besides these very infrequent helps there are just some small prompts for children to look for patterns in their answers, and words of encouragement. Pages are pleasing to the eye; they are colored, clean, and problems are well-spaced. The Kumon method has been used successfully with children around the world for over 50 years. It does seem like it would help a child to take charge of his own learning and help himself to understanding rather than being spoon-fed each bite. For Kumon math earlier than Grade 1, see the Kumon section in Early Learning.

This superb in-depth Student Book is ideal for Year 7 Maths students and perfect for independent study! It's packed with detailed, accessible notes, backed up with fully worked examples. Each section starts with a prior knowledge check and is rounded off with a review exercise - just the thing for recapping all of the content students have learnt. Plenty of practice questions, including challenge questions, are included throughout, complete with worked solutions. We've even included learning objectives for each topic, a glossary and a topic map to show which topics appear in each KS3 book. What's more, we've thrown in a free Online Edition that lets you read the entire book on a PC, Mac or tablet - you'll have access via 'My Online Products' on the CGP website from the moment you place your order. When the book arrives, just use the unique code printed inside the cover to gain full access. Looking for more unbeatable Year 7 Maths practice? Check out our Year 7 Targeted Workbook (9781789083163) and Year 7 Weekly Workouts (9781789085747).

Daily Math Practice is divided into 36 weekly sections. The five items practiced each day, Monday through Thursday, include two computation problems, two items that practice a variety of math skills, and one word problem. Friday lessons contain a single problem that is more extensive and may require multiple steps and problems that emphasize reasoning and communication in mathematics.

180 Days of Math is an effective workbook designed to help students improve their math skills. This easy-to-use fourth grade workbook is great for at-home learning or in the classroom. The engaging standards-based activities cover grade-level skills with easy to follow instructions and an answer key to quickly assess student understanding. Each daily practice page includes 10 math problems covering algebraic thinking, fractions, multiplication, division, measurement and data, and geometry. Watch as student s math confidence grows with these quick independent learning activities.Parents appreciate the teacher-approved activity books that keep their child engaged and learning. Great for homeschooling, to reinforce learning at school, or prevent learning loss over summer.Teachers rely on the daily practice workbooks to save them valuable time. The ready to implement activities are perfect for daily morning review or homework. The activities can also be used for intervention skill building to address learning gaps.

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.

Please note this title is suitable for any student studying: Exam Board: AQA Level: GCSE Subject: Mathematics First teaching: September 2015 First exams: June 2017 AQA GCSE Maths, Higher Student Book has been approved by AQA and specially written by a team of maths experts for the Higher tier of AQA's 2015 GCSE specification. Designed to fully support the new style of assessment, the book adopts a clear style to focus on delivering exam success via the careful development of fluency and problem solving practice. Powered by MyMaths the book links directly to the ever popular web site offering students a further source of appropriate support.

Daily Math Practice is divided into 36 weekly sections. The five items practiced each day, Monday through Thursday, include two computation problems, two items that practice a variety of math skills, and one word problem. Friday lessons contain a single problem that is more extensive and may require multiple steps and problems that emphasize reasoning and communication in mathematics.

The only textbook that completely covers the OxfordAQA International GCSE Mathematics Core Level specification (9260), for first teaching in September 2016. Written by experienced authors, the clear, international approach ensures strong mathematical understanding and provides exam-focused practice to build assessment confidence. This textbook helps students to develop the key mathematical, reasoning and problem solving skills needed for the Oxford AQA International GCSE Mathematics Core Level exam, with extensive opportunities for practice and model answers. The online textbook can be accessed on a wide range of devices and the licence is valid until 31st December 2026, for use by one student or teacher. Your first login will be sent to you in the mail on a printed access card.

We are working with Cambridge International to gain endorsement on this forthcoming title. Confidently deliver the latest Cambridge IGCSE (TM) and O Level Additional Mathematics syllabuses (0606/4037) and develop fluency in students' mathematical skills with a comprehensive Student's Book focusing on the application of mathematical techniques to solve problems through a variety of activities. - Facilitate engagement with mathematical concepts using discussion points to prompt deeper thinking. - Demonstrate full understanding of mathematical principles with clear graphs, diagrams and illustrations to support theory. - Encourage full understanding of mathematical techniques with 'annotation text' providing additional explanations. - Provide plenty of opportunities for students to practice solving problems with activities which use real world examples. - Prepare for assessment with worked examples and practice questions with non-calculator tasks clearly sign posted throughout.

The Heinemann Mathematics scheme has been developed by the authors of the primary course SPMG, with the aim of building on established strengths to provide a structured development of children's mathematical knowledge and skills within the revised curricula.

This book is written by a diverse group of educators who spent the better part of one year learning about and implementing antiracist pedagogy. We hope our work is inspiring to other educators who want to learn more about antiracist pedagogy; more than that, we hope it provides a tool to engage with and speak back against repressive policies that seek to push out antiracist pedagogies. We worry that antiracist pedagogy has become a buzzword in scholarship and public discourse - simultaneously feared, silenced, hated, misunderstood, misused, and appropriated. We believe antiracist pedagogy has a place in democratic education. Therefore, we consider this book to be a clarifying project. In it, we provide precise definitions and concrete examples to demonstrate how antiracist pedagogy is a way of teaching and learning that engages past failures of American democracy in order to inspire students to take action toward fulfilling the promise of American democracy.

This book conceptualizes the nature of mathematical modeling in the early grades from both teaching and learning perspectives. Mathematical modeling provides a unique opportunity to engage elementary students in the creative process of mathematizing their world. A diverse community of internationally known researchers and practitioners share studies that advance the field with respect to the following themes: The Nature of Mathematical Modeling in the Early Grades Content Knowledge and Pedagogy for Mathematical Modeling Student Experiences as Modelers Teacher Education and Professional Development in Modeling Experts in the field provide commentaries that extend and connect ideas presented across chapters. This book is an invaluable resource in illustrating what all young children can achieve with mathematical modeling and how we can support teachers and families in this important work.